[design] 8 XML I/O of block designs

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# 8 XML I/O of block designs

### Sections

1. Writing lists of block designs and their properties in XML-format
2. Reading lists of block designs in XML-format

This chapter describes functions to write and read lists of binary block designs in the http://designtheory.org external representation XML-format (see Extrep).

## 8.1 Writing lists of block designs and their properties in XML-format

- `BlockDesignsToXMLFile(` filename`,` designs`)`
- `BlockDesignsToXMLFile(` filename`,` designs`,` include`)`
- `BlockDesignsToXMLFile(` filename`,` designs`,` include`,` list_id`)`

  This function writes a list of (assumed distinct) binary block designs (given in DESIGN package format) to a file in external representation XML-format (version 2.0).

  The parameter filename is a string giving the name of the file, and designs is a record whose component `list` contains the list of block designs (designs can also be a list, in which case it is replaced by `rec(list:=`designs`)`).

  The record designs should have the following components:

  `list`: the list of distinct binary block designs in DESIGN package format;

  `pairwiseNonisomorphic` (optional): should be `true` or `false` or the string `"unknown"`, specifying the pairwise-nonisomorphism status of the designs in ``designs`.list`;

  `infoXML` (optional): should contain a string in XML format for the ``info`` element of the ``list_of_designs`` which is written.

  The combinatorial and group-theoretical properties output for each design depend on include (default: empty list), which should be a list containing zero or more of the strings `"indicators"`, `"resolvable"`, `"combinatorial_properties"`, `"automorphism_group"`, and `"resolutions"`. A shorthand for the list containing all these strings is `"all"`. The strings `"indicators"`, `"combinatorial_properties"`, `"automorphism_group"`, and `"resolutions"` are used to specify that those subtrees of the external representation of each design are to be expanded and written out. In the case of `"resolutions"` being in include, all resolutions up to isomorphism will be determined and written out. The string `"resolvable"` is used to specify that the `resolvable` indicator must be set (usually this is not forced), if the `indicators` subtree is written out, and also that if a design is resolvable but `"resolutions"` is not in include, then one and only one resolution should be written out in the `resolutions` subtree.

  If list_id is given then the id's of the output designs will be ``list_id`-0`, ``list_id`-1`, ``list_id`-2`, ...

      gap> D:=[ BlockDesign(3, [[1,2],[1,3]]),
      >         BlockDesign(3, [[1,2],[1,2],[2,3]]) ];;
      gap> designs:=rec(list:=D, pairwiseNonisomorphic:=true);;
      gap> BlockDesignsToXMLFile("example.xml",designs,[],"example");

  ## 8.2 Reading lists of block designs in XML-format

- `BlockDesignsFromXMLFile(` filename`)`

  This function reads a file with name filename, containing a list of distinct binary block designs in external representation XML-format, and returns a record designs in DESIGN package format containing the essential information in this file.

  The record designs contains the following components:

  `list`: a list of block designs in DESIGN package format of the list of block designs in the file (certain elements such as ``statistical_properties`` are stored verbatim as strings; certain other elements are not stored since it is usually easier and more reliable to recompute them -- this can be done when the block designs are written out in XML format);

  `pairwiseNonisomorphic` is set according to the attribute `pairwise_nonisomorphic` of the XML element ``list_of_designs``. The component `pairwiseNonisomorphic` is `false` if this attribute is `false`, `true` if this attribute is `true`, and `"unknown"` otherwise;

  `infoXML` is bound iff the ``info`` element occurs as a child of the XML ``list_of_designs`` element, and if bound, contains this ``info`` element in a string.

      gap> BlockDesignsFromXMLFile("example.xml");
      rec(
        list := [ rec( isBlockDesign := true, v := 3, id := "example-0", blocks :=
                  [ [ 1, 2 ], [ 1, 3 ] ], isBinary := true ),
            rec( isBlockDesign := true, v := 3, id := "example-1",
                blocks := [ [ 1, 2 ], [ 1, 2 ], [ 2, 3 ] ], isBinary := true ) ],
        pairwiseNonisomorphic := true )

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