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help / color / mirror / Atom feedFrom: Vik Fearing <[email protected]>
To: Tatsuo Ishii <[email protected]>
To: [email protected]
Subject: Re: Question to datatype.sgml
Date: Mon, 30 Dec 2019 01:52:48 +0100
Message-ID: <[email protected]> (raw)
In-Reply-To: <[email protected]>
References: <[email protected]>
On 30/12/2019 01:34, Tatsuo Ishii wrote:
> Hi,
>
> Can you please someone elaborate what's the meaning of "even" in
> datatype.sgml?
>
> <para>
> By default, floating point values are output in text form in their
> shortest precise decimal representation; the decimal value produced is
> closer to the true stored binary value than to any other value
> representable in the same binary precision. (However, the output value is
> currently never <emphasis>exactly</emphasis> midway between two
> representable values, in order to avoid a widespread bug where input
> routines do not properly respect the round-to-even rule.) This value will
> ~~~~~~~~~~~~~~~~~~~
> use at most 17 significant decimal digits for <type>float8</type>
> values, and at most 9 digits for <type>float4</type> values.
> </para>
>
> I think "even" means "equality" here, not "even" of "even and odd".
It does actually mean "even and odd". This kind of rounding is also
called "Banker's Rounding".
https://en.wikipedia.org/wiki/Rounding#Round_half_to_even
--
Vik Fearing
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