Re: Same double precision operations, different results

From: Daniel Vázquez <daniel2d2art(at)gmail(dot)com>
To: Tom Lane <tgl(at)sss(dot)pgh(dot)pa(dot)us>
Cc: pgsql-hackers(at)postgresql(dot)org
Subject: Re: Same double precision operations, different results
Date: 2014-02-25 13:00:20
Message-ID: CA+KJVfycFi-VZAigzb+bj-XKccK4+97VHj-ouDz60TB4CeoFig@mail.gmail.com
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Thx Tom!!

Yep, I focused on all trigonometric functions take arguments and return
values of type double precision. Looking for the error I lost focus on
numeric values directly on the select and diff inner calculations.

I think best approach will be maintain double precision on trigonometric
calculations for faster and cast to numeric before acos operation.

Thank you man!

2014-02-13 18:26 GMT+01:00 Tom Lane <tgl(at)sss(dot)pgh(dot)pa(dot)us>:

> =?ISO-8859-1?Q?Daniel_V=E1zquez?= <daniel2d2art(at)gmail(dot)com> writes:
> > Please can someone tell me why this behavior? Thx!!
>
> You're confusing numeric and double precision; in particular this
> calculation is *not* being done in float8, but numeric:
>
> > # select (0.766238989559398 * 0.766238989559398 * 1 + 0.642555686986733 *
> > 0.642555686986733) calc;
>
> > (*) Why this calculation produces 1 and not
> 0.999999999999999633651488135693
>
> Actually, it's not producing 1, but a smidgen more:
>
> regression=# set extra_float_digits TO 3;
> SET
> regression=# select ( cast (
> cos(radians(39.9826557))
> * cos(radians(39.9826557))
> * cos(radians(-0.04773120000004383) - radians(-0.04773120000004383))
> + sin(radians(39.9826557))
> * sin(radians(39.9826557)) as double precision )
> );
> float8
> ---------------------
> 1.00000000000000022
> (1 row)
>
> You've got roundoff error either way, but this way happens to be in the
> direction that makes acos() complain.
>
> regards, tom lane
>

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