[fitsbits] BINTABLE convention for >999 columns

Rob Seaman seaman at lpl.arizona.edu
Mon Jul 10 12:25:55 EDT 2017


Thanks for the info about usage context. Separating the tables into
multiple files or extensions still seems a reasonable way to address
these cases, but since Mark T's proposed convention (apparently
originally from Bill) is legal or near-legal FITS usage, the main
question is how best to discourage a diversity of keyword encodings, etc.

Also agree with Mark C's encoding, though would suggest mono-case will
be less of a confusing change than lower case. Mark C's option avoids
confusing usage like TFORM0AA or whatever interrupting the sort order. A
digit in character 6 would require digits in #7 and 8.

Nobody has mentioned extremely wide table use cases (millions of
columns), and 34695 columns is enough to cover all the wide table DB
options listed in a previous email.

Rob
--

On 7/10/17 8:34 AM, Arnold Rots wrote:
> From all the suggestions offered so far, Mark's is by far the most
> sensible in my opinion since it provides a significant expansion while
> preserving full backward compatibility.
>
>   - Arnold
>
> -------------------------------------------------------------------------------------------------------------
> Arnold H. Rots                                          Chandra X-ray
> Science Center
> Smithsonian Astrophysical Observatory                   tel:  +1 617
> 496 7701
> 60 Garden Street, MS 67                                      fax:  +1
> 617 495 7356
> Cambridge, MA 02138                                        
> arots at cfa.harvard.edu <mailto:arots at cfa.harvard.edu>
> USA                                                  
> http://hea-www.harvard.edu/~arots/ <http://hea-www.harvard.edu/%7Earots/>
> --------------------------------------------------------------------------------------------------------------
>
>
> On Fri, Jul 7, 2017 at 8:51 PM, Mark Calabretta <mark at calabretta.id.au
> <mailto:mark at calabretta.id.au>> wrote:
>
>     Taking into consideration what others have said on this thread, I
>     would
>     like to point out that up to 34695 bintable columns may easily be
>     accomodated, with full backward compatibility, via a simple extension
>     to the FITS standard.  Namely,
>
>     1. When encoding bintable-related keywords such as ijPCna, allow
>        lower-case letters to represent digits in a base-36 counting
>     system.
>
>     2. Number bintable columns 1 to 999, followed by a00 to zzz, where an
>        offset (-11960) is applied to make a00 column 1000.  The total
>     number
>        of columns is then 999 + 26*36*36 = 34695.  (Alternatively, the
>     full
>        range of three-digit base-36 counting, namely 46656, could be
>        recovered with a more elaborate ordering.)
>
>     Regards,
>     Mark Calabretta
>
>
>     On Fri, 7 Jul 2017 12:09:15 +0100 (BST)
>     Mark Taylor <M.B.Taylor at bristol.ac.uk
>     <mailto:M.B.Taylor at bristol.ac.uk>> wrote:
>
>     Dear fitsbits,
>
>     I am considering a convention for storing table data in FITS files
>     where the number of columns exceeds the 999 limit implicitly imposed
>     by the standard BINTABLE extension type.  I have running code for
>     this (available on request) and plan to incorporate it in future
>     releases of STIL/STILTS/TOPCAT so that people can work with wide
>     tables in FITS while using those tools.  People using software
>     that is unaware of this convention would still see a legal BINTABLE
>     but not the later columns.
>
>     I'm posting the details here in case people want to comment,
>     or point out some major problem with the idea that I might have
>     overlooked, or tell me that there's already a convention for
>     this out there that I should be using instead.  Otherwise, please
>     feel free to ignore this post.  I'm not requesting that any
>     other software implements this, though if anyone wants to I
>     certainly don't object.
>
>     Mark
>
>     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
>
>     Extended column convention for FITS BINTABLE
>     --------------------------------------------
>
>     The BINTABLE extension type as described in the FITS Standard
>     (FITS Standard v3.0, sec 7.3) requires table column metadata
>     to be described using 8-character keywords of the form XXXXXnnn,
>     where XXXXX represents one of an open set of mandatory, reserved
>     or user-defined root keywords up to five characters in length,
>     for instance TFORM (mandatory), TUNIT (reserved), TUCD (user-defined).
>     The nnn part is an integer between 1 and 999 indicating the
>     index of the column to which the keyword in question refers.
>     Since the header syntax confines this indexed part of the keyword
>     to three digits, there is an upper limit of 999 columns in
>     BINTABLE extensions.
>
>     Note that the FITS/BINTABLE format does not entail any restriction on
>     the storage of column *data* beyond the 999 column limit in the data
>     part of the HDU, the problem is just that client software
>     cannot be informed about the layout of this data using the
>     header cards in the usual way.
>
>     In some cases it is desirable to store FITS tables with a column
>     count greater than 999.  Whether that's a good idea is not within
>     the scope of this discussion.
>
>     To achieve this, I propose the following convention.
>
>     Definitions:
>
>      - 'BINTABLE columns' are those columns defined using the
>           FITS BINTABLE standard
>
>      - 'Data columns' are the columns to be encoded
>
>      - N_TOT is the total number of data columns to be stored
>
>      - Data columns with (1-based) indexes from 999 to N_TOT inclusive
>           are known as 'extended' columns.  Their data is stored
>           within the 'container' column.
>
>      - BINTABLE column 999 is known as the 'container' column
>           It contains the byte data for all the 'extended' columns.
>
>     Convention:
>
>      - All column data (for columns 1 to N_TOT) is laid out in the
>     data part
>           of the HDU in exactly the same way as if there were no
>     999-column
>           limit.
>
>      - The TFIELDS header is declared with the value 999.
>
>      - The container column is declared in the header with some
>           TFORM999 value corresponding to the total field length required
>           by all the extended columns ('B' is the obvious data type, but
>           any legal TFORM value that gives the right width MAY be used).
>           The byte count implied by TFORM999 MUST be equal to the
>           total byte count implied by all extended columns.
>
>      - Other XXXXX999 headers MAY optionally be declared to describe
>           the container column in accordance with the usual rules,
>           e.g. TTYPE999 to give it a name.
>
>      - The NAXIS1 header is declared in the usual way to give the width
>           of a table row in bytes.  This is equal to the sum of
>           all the BINTABLE columns as usual.  It is also equal to
>           the sum of all the data columns, which has the same value.
>
>      - Headers for Data columns 1-998 are declared as usual,
>           corresponding to BINTABLE columns 1-998.
>
>      - Keyword XT_ICOL indicates the index of the container column.
>           It MUST be present with the integer value 999 to indicate
>           that this convention is in use.
>
>      - Keyword XT_NCOL indicates the total number of data columns encoded.
>           It MUST be present with an integer value equal to N_TOT.
>
>      - Metadata for each extended column is encoded with keywords
>           of the form XXXXXaaa, where XXXXX are the same keyword roots
>           as used for normal BINTABLE extensions, and aaa is a 3-digit
>           value in base 26 using the characters 'A' (0 in base 26) to
>           'Z' (25 in base 26), and giving the 1-based data column index
>           minus 999.  The sequence aaa MUST be exactly three characters
>           long (leading 'A's are required).  Thus the formats for data
>           columns 999, 1000, 1001, etc are declared with the keywords
>           TFORMAAA, TFORMAAB, TFORMAAC etc.
>
>      - This convention MUST NOT be used for N_TOT<=999.
>
>     The resulting HDU is a completely legal FITS BINTABLE extension.
>     Readers aware of this convention may use it to extract column
>     data and metadata beyond the 999-column limit.
>     Readers unaware of this convention will see 998 columns in their
>     intended form, and an additional (possibly large) column 999
>     which contains byte data but which cannot be easily interpreted.
>
>     This convention can therefore allow encoding of tables with data
>     column counts N_TOT up to 998+26^3 = 18574.
>
>     An example header might look like this:
>
>        XTENSION= 'BINTABLE'           /  binary table extension
>        BITPIX  =                    8 /  8-bit bytes
>        NAXIS   =                    2 /  2-dimensional table
>        NAXIS1  =                 9229 /  width of table in bytes
>        NAXIS2  =                   26 /  number of rows in table
>        PCOUNT  =                    0 /  size of special data area
>        GCOUNT  =                    1 /  one data group
>        TFIELDS =                  999 /  number of columns
>        XT_ICOL =                  999 /  index of container column
>        XT_NCOL =                 1204 /  total columns including extended
>        TTYPE1  = 'posid_1 '           /  label for column 1
>        TFORM1  = 'J       '           /  format for column 1
>        TTYPE2  = 'instrument_1'       /  label for column 2
>        TFORM2  = '4A      '           /  format for column 2
>        TTYPE3  = 'edge_code_1'        /  label for column 3
>        TFORM3  = 'I       '           /  format for column 3
>        TUCD3   = 'meta.code.qual'
>         ...
>        TTYPE998= 'var_min_s_2'        /  label for column 998
>        TFORM998= 'D       '           /  format for column 998
>        TUNIT998= 'counts/s'           /  units for column 998
>        TTYPE999= 'XT_MORECOLS'        /  label for column 999
>        TFORM999= '813I    '           /  format for column 999
>        TTYPEAAA= 'var_min_u_2'        /  label for column 999
>        TFORMAAA= 'D       '           /  format for column 999
>        TUNITAAA= 'counts/s'           /  units for column 999
>        TTYPEAAB= 'var_prob_h_2'       /  label for column 1000
>        TFORMAAB= 'D       '           /  format for column 1000
>         ...
>        TTYPEAHW= 'var_prob_w_2'       /  label for column 1203
>        TFORMAHW= 'D       '           /  format for column 1203
>        TTYPEAHX= 'var_sigma_w_2'      /  label for column 1204
>        TFORMAHX= 'D       '           /  format for column 1204
>        TUNITAHX= 'counts/s'           /  units for column 1204
>        END
>
>     This general approach was suggested by William Pence on the FITSBITS
>     list in June 2012
>     (https://listmgr.nrao.edu/pipermail/fitsbits/2012-June/002367.html
>     <https://listmgr.nrao.edu/pipermail/fitsbits/2012-June/002367.html>),
>     and by Francois-Xavier Pineau (CDS) in private conversation in 2016.
>     The details have been filled in by Mark Taylor (Bristol).
>     (F-X favours a different mechanism for encoding the extended
>     column metadata).
>
>     --
>     Mark Taylor   Astronomical Programmer   Physics, Bristol
>     University, UK
>     m.b.taylor at bris.ac.uk <mailto:m.b.taylor at bris.ac.uk>
>     +44-117-9288776 <tel:%2B44-117-9288776> 
>     http://www.star.bris.ac.uk/~mbt/ <http://www.star.bris.ac.uk/%7Embt/>
>
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