
<sect1 id="tablefunc">
 <title>tablefunc</title>
 
 <indexterm zone="tablefunc">
  <primary>tablefunc</primary>
 </indexterm>

 <para>
  <literal>tablefunc</literal> provides functions to convert query rows into fields.
 </para>
 <sect2>
  <title>Functions</title>
  <table>
   <title></title>
   <tgroup cols="3">
    <thead>
     <row>
      <entry>Function</entry>
      <entry>Returns</entry>
      <entry>Comments</entry>
     </row>
    </thead>
    <tbody>
     <row>
      <entry>
       <literal>
        normal_rand(int numvals, float8 mean, float8 stddev)
       </literal>
      </entry>
      <entry>
       returns a set of normally distributed float8 values
      </entry>
      <entry></entry>
     </row>
     <row>
      <entry><literal>crosstabN(text sql)</literal></entry>
      <entry>returns a set of row_name plus N category value columns</entry>
      <entry>
       crosstab2(), crosstab3(), and crosstab4() are defined for you,
       but you can create additional crosstab functions per the instructions
       in the documentation below.
      </entry>
     </row>
     <row>
      <entry><literal>crosstab(text sql)</literal></entry>
      <entry>returns a set of row_name plus N category value columns</entry>
      <entry>
       requires anonymous composite type syntax in the FROM clause. See
       the instructions in the documentation below.
      </entry>
     </row>
     <row>
      <entry><literal>crosstab(text sql, N int)</literal></entry>
      <entry></entry>
      <entry>
       <para>obsolete version of crosstab()</para>
       <para>
        the argument N is now ignored, since the number of value columns
        is always determined by the calling query
       </para>
      </entry>
     </row>
     <row>
      <entry>
       <literal>
        connectby(text relname, text keyid_fld, text parent_keyid_fld
        [, text orderby_fld], text start_with, int max_depth
        [, text branch_delim])
       </literal>
      </entry>
      <entry>
       returns keyid, parent_keyid, level, and an optional branch string
       and an optional serial column for ordering siblings
      </entry>
      <entry>
       requires anonymous composite type syntax in the FROM clause. See
       the instructions in the documentation below.
      </entry>
     </row>
    </tbody>
   </tgroup>
  </table>

  <sect3>
   <title><literal>normal_rand</literal></title>
    <programlisting>
normal_rand(int numvals, float8 mean, float8 stddev) RETURNS SETOF float8
    </programlisting>
    <para>
     Where <literal>numvals</literal> is the number of values to be returned
     from the function. <literal>mean</literal> is the mean of the normal
     distribution of values and <literal>stddev</literal> is the standard
     deviation of the normal distribution of values.
    </para>
    <para>
     Returns a float8 set of random values normally distributed (Gaussian 
     distribution).
    </para>
    <para>
     Example:
    </para>
    <programlisting>
  test=# SELECT * FROM
  test=# normal_rand(1000, 5, 3);
     normal_rand
----------------------
     1.56556322244898
     9.10040991424657
     5.36957140345079
   -0.369151492880995
    0.283600703686639
       .
       .
       .
     4.82992125404908
     9.71308014517282
     2.49639286969028
(1000 rows)
    </programlisting>
    <para>
     Returns 1000 values with a mean of 5 and a standard deviation of 3.
    </para>
  </sect3>


  <sect3>
   <title><literal>crosstabN(text sql)</literal></title>
    <programlisting>
crosstabN(text sql)
    </programlisting>
    <para>
     The <literal>sql</literal> parameter is a SQL statement which produces the
     source set of data. The SQL statement must return one row_name column, one
     category column, and one value column. <literal>row_name</literal> and 
     value must be of type text. The function returns a set of 
     <literal>row_name</literal> plus N category value columns.
    </para>
    <para>
     Provided <literal>sql</literal> must produce a set something like:
    </para>
<programlisting>
row_name    cat    value
---------+-------+-------
 row1      cat1    val1
 row1      cat2    val2
 row1      cat3    val3
 row1      cat4    val4
 row2      cat1    val5
 row2      cat2    val6
 row2      cat3    val7
 row2      cat4    val8
 </programlisting>
    <para>
     The returned value is a <literal>SETOF table_crosstab_N</literal>, which
     is defined by:
    </para>
    <programlisting>
CREATE TYPE tablefunc_crosstab_N AS (
    row_name TEXT,
    category_1 TEXT,
    category_2 TEXT,
        .
        .
        .
    category_N TEXT
);
    </programlisting>
    <para>
     for the default installed functions, where N is 2, 3, or 4.
    </para>
    <para>
     e.g. the provided crosstab2 function produces a set something like:
    </para>
    <programlisting>
                      &lt;== values  columns ==&gt;
           row_name   category_1   category_2
           ---------+------------+------------
             row1        val1         val2
             row2        val5         val6
    </programlisting>
    <note>
     <orderedlist>
      <listitem><para>The sql result must be ordered by 1,2.</para></listitem>
      <listitem>
       <para>
        The number of values columns depends on the tuple description
        of the function's declared return type.
       </para>
      </listitem>
      <listitem>
       <para>
        Missing values (i.e. not enough adjacent rows of same row_name to
        fill the number of result values columns) are filled in with nulls.
       </para>
      </listitem>
      <listitem>
       <para>
        Extra values (i.e. too many adjacent rows of same row_name to fill
        the number of result values columns) are skipped.
       </para>
      </listitem>
      <listitem>
       <para>
        Rows with all nulls in the values columns are skipped.
       </para>
      </listitem>
      <listitem>
       <para>
        The installed defaults are for illustration purposes. You
        can create your own return types and functions based on the
        crosstab() function of the installed library.  See below for
        details.
       </para>
      </listitem>
     </orderedlist>
    </note>
    <para>
     Example:
    </para>
    <programlisting>
create table ct(id serial, rowclass text, rowid text, attribute text, value text);
insert into ct(rowclass, rowid, attribute, value) values('group1','test1','att1','val1');
insert into ct(rowclass, rowid, attribute, value) values('group1','test1','att2','val2');
insert into ct(rowclass, rowid, attribute, value) values('group1','test1','att3','val3');
insert into ct(rowclass, rowid, attribute, value) values('group1','test1','att4','val4');
insert into ct(rowclass, rowid, attribute, value) values('group1','test2','att1','val5');
insert into ct(rowclass, rowid, attribute, value) values('group1','test2','att2','val6');
insert into ct(rowclass, rowid, attribute, value) values('group1','test2','att3','val7');
insert into ct(rowclass, rowid, attribute, value) values('group1','test2','att4','val8');

select * from crosstab3(
  'select rowid, attribute, value
   from ct
   where rowclass = ''group1''
   and (attribute = ''att2'' or attribute = ''att3'') order by 1,2;');

 row_name | category_1 | category_2 | category_3
----------+------------+------------+------------
 test1    | val2       | val3       |
 test2    | val6       | val7       |
(2 rows)
    </programlisting>
   </sect3>

  <sect3>
   <title><literal>crosstab(text)</literal></title>
   <programlisting>
crosstab(text sql)
crosstab(text sql, int N)
   </programlisting>
   <para>
    The <literal>sql</literal> parameter is a SQL statement which produces the
    source set of data. The SQL statement must return one 
    <literal>row_name</literal> column, one <literal>category</literal> column,
    and one <literal>value</literal> column.  <literal>N</literal> is an 
    obsolete argument; ignored if supplied (formerly this had to match the 
    number of category columns determined by the calling query).
   </para>
   <para>
   </para>
   <para>
    e.g. provided sql must produce a set something like:
   </para>
<programlisting>
 row_name    cat    value
----------+-------+-------
  row1      cat1    val1
  row1      cat2    val2
  row1      cat3    val3
  row1      cat4    val4
  row2      cat1    val5
  row2      cat2    val6
  row2      cat3    val7
  row2      cat4    val8
</programlisting>
   <para>
    Returns a <literal>SETOF RECORD</literal>, which must be defined with a 
    column definition in the FROM clause of the SELECT statement, e.g.:
   </para>
   <programlisting>
    SELECT *
    FROM crosstab(sql) AS ct(row_name text, category_1 text, category_2 text);
   </programlisting>
   <para>
    the example crosstab function produces a set something like:
   </para>
   <programlisting>
            &lt;== values  columns ==&gt;
row_name   category_1   category_2
 ---------+------------+------------
   row1        val1         val2
   row2        val5         val6
   </programlisting>
   <para>
    Note that it follows these rules:
   </para>
    <orderedlist>
     <listitem><para>The sql result must be ordered by 1,2.</para></listitem>
     <listitem>
      <para>
      The number of values columns is determined by the column definition
      provided in the FROM clause.  The FROM clause must define one
      row_name column (of the same datatype as the first result column
      of the sql query) followed by N category columns (of the same
      datatype as the third result column of the sql query).  You can
      set up as many category columns as you wish.
      </para>
     </listitem>
     <listitem>
      <para>
      Missing values (i.e. not enough adjacent rows of same row_name to
      fill the number of result values columns) are filled in with nulls.
      </para>
     </listitem>
     <listitem>
      <para>
      Extra values (i.e. too many adjacent rows of same row_name to fill
      the number of result values columns) are skipped.
      </para>
     </listitem>
     <listitem>
      <para>
      Rows with all nulls in the values columns are skipped.
      </para>
     </listitem>
     <listitem>
      <para>
      You can avoid always having to write out a FROM clause that defines the
      output columns by setting up a custom crosstab function that has
      the desired output row type wired into its definition.
      </para>
     </listitem>
    </orderedlist>
    <para>
     There are two ways you can set up a custom crosstab function:
    </para>
    <itemizedlist>
     <listitem>
      <para>
       Create a composite type to define your return type, similar to the
       examples in the installation script. Then define a unique function
       name accepting one text parameter and returning setof your_type_name.
       For example, if your source data produces row_names that are TEXT,
       and values that are FLOAT8, and you want 5 category columns:
      </para>
      <programlisting>
      CREATE TYPE my_crosstab_float8_5_cols AS (
          row_name TEXT,
          category_1 FLOAT8,
          category_2 FLOAT8,
          category_3 FLOAT8,
          category_4 FLOAT8,
          category_5 FLOAT8
      );

      CREATE OR REPLACE FUNCTION crosstab_float8_5_cols(text)
        RETURNS setof my_crosstab_float8_5_cols
        AS '$libdir/tablefunc','crosstab' LANGUAGE C STABLE STRICT;
      </programlisting>
     </listitem>
     <listitem>
      <para>
       Use OUT parameters to define the return type implicitly.
       The same example could also be done this way:
      </para>
      <programlisting>
      CREATE OR REPLACE FUNCTION crosstab_float8_5_cols(IN text,
          OUT row_name TEXT,
          OUT category_1 FLOAT8,
          OUT category_2 FLOAT8,
          OUT category_3 FLOAT8,
          OUT category_4 FLOAT8,
          OUT category_5 FLOAT8)
        RETURNS setof record
        AS '$libdir/tablefunc','crosstab' LANGUAGE C STABLE STRICT;
      </programlisting>
     </listitem>
    </itemizedlist>
    <para>
     Example:
    </para>
    <programlisting>
CREATE TABLE ct(id SERIAL, rowclass TEXT, rowid TEXT, attribute TEXT, value TEXT);
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test1','att1','val1');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test1','att2','val2');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test1','att3','val3');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test1','att4','val4');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test2','att1','val5');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test2','att2','val6');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test2','att3','val7');
INSERT INTO ct(rowclass, rowid, attribute, value) VALUES('group1','test2','att4','val8');

SELECT *
FROM crosstab(
  'select rowid, attribute, value
   from ct
   where rowclass = ''group1''
   and (attribute = ''att2'' or attribute = ''att3'') order by 1,2;', 3)
AS ct(row_name text, category_1 text, category_2 text, category_3 text);

 row_name | category_1 | category_2 | category_3
----------+------------+------------+------------
 test1    | val2       | val3       |
 test2    | val6       | val7       |
(2 rows)
    </programlisting>

  </sect3>

  <sect3>
   <title><literal>crosstab(text, text)</literal></title>
   <programlisting>
crosstab(text source_sql, text category_sql)
   </programlisting>

   <para>
    Where <literal>source_sql</literal> is a SQL statement which produces the
    source set of data. The SQL statement must return one 
    <literal>row_name</literal> column, one <literal>category</literal> column,
    and one <literal>value</literal> column. It may also have one or more 
    <emphasis>extra</emphasis> columns.
   </para>
   <para>
    The <literal>row_name</literal> column must be first. The 
    <literal>category</literal> and <literal>value</literal> columns must be 
    the last two columns, in that order. <emphasis>extra</emphasis> columns must 
    be columns 2 through (N - 2), where N is the total number of columns.
   </para>
   <para>
    The <emphasis>extra</emphasis> columns are assumed to be the same for all 
    rows with the same <literal>row_name</literal>. The values returned are 
    copied from the first row with a given <literal>row_name</literal> and 
    subsequent values of these columns are ignored until 
    <literal>row_name</literal> changes.
   </para>
   <para>
    e.g. <literal>source_sql</literal> must produce a set something like:
   </para>
   <programlisting>
 SELECT row_name, extra_col, cat, value FROM foo;

     row_name    extra_col   cat    value
    ----------+------------+-----+---------
      row1         extra1    cat1    val1
      row1         extra1    cat2    val2
      row1         extra1    cat4    val4
      row2         extra2    cat1    val5
      row2         extra2    cat2    val6
      row2         extra2    cat3    val7
      row2         extra2    cat4    val8
   </programlisting>

   <para>
    <literal>category_sql</literal> has to be a SQL statement which produces 
    the distinct set of categories. The SQL statement must return one category 
    column only.  <literal>category_sql</literal> must produce at least one 
    result row or an error will be generated. <literal>category_sql</literal> 
    must not produce duplicate categories or an error will be generated. e.g.:
   </para>
   <programlisting>
SELECT DISTINCT cat FROM foo;
    cat
  -------
    cat1
    cat2
    cat3
    cat4
   </programlisting>
   <para>
    The function returns <literal>SETOF RECORD</literal>, which must be defined
    with a column definition in the FROM clause of the SELECT statement, e.g.:
   </para>
   <programlisting>
    SELECT * FROM crosstab(source_sql, cat_sql)
    AS ct(row_name text, extra text, cat1 text, cat2 text, cat3 text, cat4 text);
   </programlisting>
   <para>
    the example crosstab function produces a set something like:
   </para>
   <programlisting>
                      &lt;== values  columns ==&gt;
           row_name   extra   cat1   cat2   cat3   cat4
           ---------+-------+------+------+------+------
             row1     extra1  val1   val2          val4
             row2     extra2  val5   val6   val7   val8
   </programlisting>
   <para>
    Note that it follows these rules:
   </para>
   <orderedlist>
    <listitem><para>source_sql must be ordered by row_name (column 1).</para></listitem>
    <listitem>
     <para>
      The number of values columns is determined at run-time. The 
      column definition provided in the FROM clause must provide for
      the correct number of columns of the proper data types.
     </para>
    </listitem>
    <listitem>
     <para>
      Missing values (i.e. not enough adjacent rows of same row_name to
      fill the number of result values columns) are filled in with nulls.
     </para>
    </listitem>
    <listitem>
     <para>
      Extra values (i.e. source rows with category not found in category_sql
      result) are skipped.
     </para>
    </listitem>
    <listitem>
     <para>
      Rows with a null row_name column are skipped.
     </para>
    </listitem>
    <listitem>
     <para>
      You can create predefined functions to avoid having to write out
      the result column names/types in each query.  See the examples
      for crosstab(text).
     </para>
    </listitem>
   </orderedlist>

   <programlisting>
CREATE TABLE cth(id serial, rowid text, rowdt timestamp, attribute text, val text);
INSERT INTO cth VALUES(DEFAULT,'test1','01 March 2003','temperature','42');
INSERT INTO cth VALUES(DEFAULT,'test1','01 March 2003','test_result','PASS');
INSERT INTO cth VALUES(DEFAULT,'test1','01 March 2003','volts','2.6987');
INSERT INTO cth VALUES(DEFAULT,'test2','02 March 2003','temperature','53');
INSERT INTO cth VALUES(DEFAULT,'test2','02 March 2003','test_result','FAIL');
INSERT INTO cth VALUES(DEFAULT,'test2','02 March 2003','test_startdate','01 March 2003');
INSERT INTO cth VALUES(DEFAULT,'test2','02 March 2003','volts','3.1234');

SELECT * FROM crosstab
(
  'SELECT rowid, rowdt, attribute, val FROM cth ORDER BY 1',
  'SELECT DISTINCT attribute FROM cth ORDER BY 1'
)
AS
(
       rowid text,
       rowdt timestamp,
       temperature int4,
       test_result text,
       test_startdate timestamp,
       volts float8
);
 rowid |          rowdt           | temperature | test_result |      test_startdate      | volts  
-------+--------------------------+-------------+-------------+--------------------------+--------
 test1 | Sat Mar 01 00:00:00 2003 |          42 | PASS        |                          | 2.6987
 test2 | Sun Mar 02 00:00:00 2003 |          53 | FAIL        | Sat Mar 01 00:00:00 2003 | 3.1234
(2 rows)
   </programlisting>
  </sect3>
  <sect3>
   <title>
    <literal>connectby(text, text, text[, text], text, text, int[, text])</literal>
   </title>
   <programlisting>
connectby(text relname, text keyid_fld, text parent_keyid_fld
            [, text orderby_fld], text start_with, int max_depth
            [, text branch_delim])
   </programlisting>
   <table>
    <title><literal>connectby</literal> parameters</title>
    <tgroup cols="2">
     <thead>
      <row>
       <entry>Parameter</entry>
       <entry>Description</entry>
      </row>
     </thead>
     <tbody>
      <row>
       <entry><literal>relname</literal></entry>
       <entry>Name of the source relation</entry>
      </row>
      <row>
       <entry><literal>keyid_fld</literal></entry>
       <entry>Name of the key field</entry>
      </row>
      <row>
       <entry><literal>parent_keyid_fld</literal></entry>
       <entry>Name of the key_parent field</entry>
      </row>
      <row>
       <entry><literal>orderby_fld</literal></entry>
       <entry>
        If optional ordering of siblings is desired: Name of the field to 
        order siblings
       </entry>
      </row>
      <row>
       <entry><literal>start_with</literal></entry>
       <entry>
        Root value of the tree input as a text value regardless of 
        <literal>keyid_fld</literal>
       </entry>
      </row>
      <row>
       <entry><literal>max_depth</literal></entry>
       <entry>
        Zero (0) for unlimited depth, otherwise restrict level to this depth
       </entry>
      </row>
      <row>
       <entry><literal>branch_delim</literal></entry>
       <entry>
         If optional branch value is desired, this string is used as the delimiter.
         When not provided, a default value of '~' is used for internal 
         recursion detection only, and no "branch" field is returned.
       </entry>
      </row>
      </tbody>
     </tgroup>
    </table>
    <para>
     The function returns <literal>SETOF RECORD</literal>, which must defined 
     with a column definition in the FROM clause of the SELECT statement, e.g.:
    </para>
    <programlisting>
    SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'row2', 0, '~')
      AS t(keyid text, parent_keyid text, level int, branch text);
    </programlisting>
    <para>
     or 
    </para>
    <programlisting>
    SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'row2', 0)
      AS t(keyid text, parent_keyid text, level int);
    </programlisting>
    <para>
     or
    </para>
    <programlisting>
    SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'pos', 'row2', 0, '~')
      AS t(keyid text, parent_keyid text, level int, branch text, pos int);
    </programlisting>
    <para>
     or
    </para>
    <programlisting>
    SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'pos', 'row2', 0)
      AS t(keyid text, parent_keyid text, level int, pos int);
    </programlisting>
    <para>
     Note that it follows these rules:
    </para>
    <orderedlist>
     <listitem><para>keyid and parent_keyid must be the same data type</para></listitem>
     <listitem>
      <para>
      The column definition *must* include a third column of type INT4 for
      the level value output
      </para>
     </listitem>
     <listitem>
      <para>
      If the branch field is not desired, omit both the branch_delim input
      parameter *and* the branch field in the query column definition. Note
      that when branch_delim is not provided, a default value of '~' is used
      for branch_delim for internal recursion detection, even though the branch
      field is not returned.
      </para>
     </listitem>
     <listitem>
      <para>
      If the branch field is desired, it must be the fourth column in the query
      column definition, and it must be type TEXT.
      </para>
     </listitem>
     <listitem>
      <para>
      The parameters representing table and field names must include double
      quotes if the names are mixed-case or contain special characters.
      </para>
     </listitem>
     <listitem>
      <para>
      If sorting of siblings is desired, the orderby_fld input parameter *and*
      a name for the resulting serial field (type INT32) in the query column
      definition must be given.
      </para>
     </listitem>
    </orderedlist>
    <para>
     Example:
    </para>
    <programlisting>
CREATE TABLE connectby_tree(keyid text, parent_keyid text, pos int);

INSERT INTO connectby_tree VALUES('row1',NULL, 0);
INSERT INTO connectby_tree VALUES('row2','row1', 0);
INSERT INTO connectby_tree VALUES('row3','row1', 0);
INSERT INTO connectby_tree VALUES('row4','row2', 1);
INSERT INTO connectby_tree VALUES('row5','row2', 0);
INSERT INTO connectby_tree VALUES('row6','row4', 0);
INSERT INTO connectby_tree VALUES('row7','row3', 0);
INSERT INTO connectby_tree VALUES('row8','row6', 0);
INSERT INTO connectby_tree VALUES('row9','row5', 0);

-- with branch, without orderby_fld
SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'row2', 0, '~')
 AS t(keyid text, parent_keyid text, level int, branch text);
 keyid | parent_keyid | level |       branch
-------+--------------+-------+---------------------
 row2  |              |     0 | row2
 row4  | row2         |     1 | row2~row4
 row6  | row4         |     2 | row2~row4~row6
 row8  | row6         |     3 | row2~row4~row6~row8
 row5  | row2         |     1 | row2~row5
 row9  | row5         |     2 | row2~row5~row9
(6 rows)

-- without branch, without orderby_fld
SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'row2', 0)
 AS t(keyid text, parent_keyid text, level int);
 keyid | parent_keyid | level
-------+--------------+-------
 row2  |              |     0
 row4  | row2         |     1
 row6  | row4         |     2
 row8  | row6         |     3
 row5  | row2         |     1
 row9  | row5         |     2
(6 rows)

-- with branch, with orderby_fld (notice that row5 comes before row4)
SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'pos', 'row2', 0, '~')
 AS t(keyid text, parent_keyid text, level int, branch text, pos int) ORDER BY t.pos;
 keyid | parent_keyid | level |       branch        | pos 
-------+--------------+-------+---------------------+-----
 row2  |              |     0 | row2                |   1
 row5  | row2         |     1 | row2~row5           |   2
 row9  | row5         |     2 | row2~row5~row9      |   3
 row4  | row2         |     1 | row2~row4           |   4
 row6  | row4         |     2 | row2~row4~row6      |   5
 row8  | row6         |     3 | row2~row4~row6~row8 |   6
(6 rows)

-- without branch, with orderby_fld (notice that row5 comes before row4)
SELECT * FROM connectby('connectby_tree', 'keyid', 'parent_keyid', 'pos', 'row2', 0)
 AS t(keyid text, parent_keyid text, level int, pos int) ORDER BY t.pos;
 keyid | parent_keyid | level | pos
-------+--------------+-------+-----
 row2  |              |     0 |   1
 row5  | row2         |     1 |   2
 row9  | row5         |     2 |   3
 row4  | row2         |     1 |   4
 row6  | row4         |     2 |   5
 row8  | row6         |     3 |   6
(6 rows)
    </programlisting>
   </sect3>
 </sect2>
 <sect2>
  <title>Author</title>
  <para>
   Joe Conway
  </para>
 </sect2>
</sect1>

