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Groups > comp.lang.javascript > #27510

Re: Overflow, integers and strings

From wolfgang zeidler <invalid@invalid.invalid>
Newsgroups comp.lang.javascript
Subject Re: Overflow, integers and strings
Date 2015-05-04 22:38 +0200
Organization (posted via) M-net Telekommunikations GmbH
Message-ID <mi8lbl$3i8$1@news.m-online.net> (permalink)
References (18 earlier) <1a007e67-3a14-424d-b480-c2d909c1f553@googlegroups.com> <87d22ge76i.fsf@bsb.me.uk> <XnsA490B68534ACEeejj99@194.109.133.246> <mi8hpl$k9p$1@news.m-online.net> <XnsA490DF2F34167eejj99@194.109.133.246>

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Evertjan. wrote:
> wolfgang zeidler <invalid@invalid.invalid> wrote on 04 mei 2015 in
> comp.lang.javascript:
>
>>> Internally [storage and arithmetic] the only logical base is 2.
>>>
>>
>> You better use a power of 2.
>>
>> As an example this makes multiplication faster.
>>
>> The usual way to multiplicate 2 numbers is to multiplicate
>> each digit of one number with each digit of the other one.
>>
>> Assume you have to multiplicate two 60 bit numbers.
>>
>> Using base 2 you'll have 60 * 60 = 3600 "digit multipications".
>>
>> Using base 32768 = 2 ^ 15 you'll have
>> only 4 * 4 = 16 "digit multipications".
>
> That is internal to the multiplication method black mox.
>
> Like in present day ram-memory storage in multiples of 8 bits is more
> efficient, but that should be internal to the storage methods.
>
> Perhaps using present day microcode some special embedded code can be very
> efficient and the programmer should be aware of that, like he should be
> aware of parallel execution in multicore processors and prefetching of
> memory-values on a probablistic theory.
>
> However in general terms, binary is the preferred way of storing en
> computing at the moment, and doing those WITH JAVASCRIPT in variable bases
> is ludicrous.
>

So we agree that calculation should be done in only one base,
( only base 2 ) xor ( only base 16 ) xor ( only base 256 ) xor ...

Some time ago I wrote a programm including big integer calculation
and I found out that base 2^15 is much faster then base 2.

Likely base 2^16 would also work correct, but I was too lazy to check this.

> Making input and output conversion algoritms are quite interesting and
> feasable, but let us keep that apart from storage and operator functions.
>


-- 
wzwz.de/mail

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Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 00:11 -0700
  Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 01:29 -0700
    Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 03:31 -0700
    Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 03:33 -0700
      Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-04-30 13:38 +0200
        Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 08:20 -0700
          Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-04-30 20:37 +0200
            Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 23:46 -0700
              Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 01:01 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 01:47 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-01 10:50 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 02:04 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-01 11:08 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 04:43 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 04:46 -0700
              Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-01 10:48 +0200
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-01 10:58 +0100
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-01 14:34 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-01 14:47 +0200
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-01 15:04 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 06:18 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 06:24 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 06:49 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 07:00 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 07:17 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 07:21 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 07:37 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 11:27 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 12:34 -0700
                Re: Overflow, integers and strings Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-05-01 22:42 +0200
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-01 23:37 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-02 00:19 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-02 05:50 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-02 14:21 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-03 04:30 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-03 07:12 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-03 16:45 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-03 09:17 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-03 09:22 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 03:38 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-04 14:01 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 06:41 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-04 15:39 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 07:48 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 06:49 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 07:25 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 08:26 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 08:59 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-05 00:59 +0100
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-04 15:28 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 07:34 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-04 15:41 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 07:52 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 08:03 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 17:56 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 09:04 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 09:21 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 09:38 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 21:07 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 12:25 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 21:43 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 12:46 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 22:11 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 12:53 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 22:23 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:40 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 23:12 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:06 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 22:39 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:42 -0700
                Re: Overflow, integers and strings Scott Sauyet <scott.sauyet@gmail.com> - 2015-05-04 13:40 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:47 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 23:30 +0200
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-04 23:33 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 15:53 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:51 -0700
                Re: Overflow, integers and strings Scott Sauyet <scott.sauyet@gmail.com> - 2015-05-04 18:00 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 18:22 -0700
                Re: Overflow, integers and strings Scott Sauyet <scott.sauyet@gmail.com> - 2015-05-04 21:38 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 18:37 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 14:00 -0700
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 09:19 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 21:24 +0200
                Re: Overflow, integers and strings wolfgang zeidler <invalid@invalid.invalid> - 2015-05-04 21:37 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 21:56 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 13:21 -0700
                Re: Overflow, integers and strings wolfgang zeidler <invalid@invalid.invalid> - 2015-05-04 22:38 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 22:46 +0200
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-04 22:57 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 23:17 +0200
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-05 00:45 +0100
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-06 00:01 +0200
                Re: Overflow, integers and strings Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2015-05-05 08:14 +0200
                Re: Overflow, integers and strings "Christoph M. Becker" <cmbecker69@arcor.de> - 2015-05-05 23:54 +0200
                Re: Overflow, integers and strings wolfgang zeidler <invalid@invalid.invalid> - 2015-05-04 23:18 +0200
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-04 23:53 +0200
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 16:06 -0700
                Re: Overflow, integers and strings "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2015-05-05 10:26 +0200
                Re: Overflow, integers and strings Dr J R Stockton <reply1500@merlyn.demon.co.uk.invalid> - 2015-05-05 19:59 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-04 07:40 -0700
                Re: Overflow, integers and strings Ben Bacarisse <ben.usenet@bsb.me.uk> - 2015-05-05 01:10 +0100
                Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-05-01 05:03 -0700
        Re: Overflow, integers and strings Ben Bacarisse <ben.lists@bsb.me.uk> - 2015-04-30 20:36 +0100
          Re: Overflow, integers and strings jonas.thornvall@gmail.com - 2015-04-30 13:08 -0700
  Re: Overflow, integers and strings Scott Sauyet <scott.sauyet@gmail.com> - 2015-04-30 10:52 -0700

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