7.8. WITH Queries (Common Table Expressions)
  
   WITH
  
  provides a way to write auxiliary statements for use in a
   larger query.  These statements, which are often referred to as Common
   Table Expressions or
  
   CTE
  
  s, can be thought of as defining
   temporary tables that exist just for one query.  Each auxiliary statement
   in a
  
   WITH
  
  clause can be a
  
   SELECT
  
  ,
  
   INSERT
  
  ,
  
   UPDATE
  
  , or
  
   DELETE
  
  ; and the
  
   WITH
  
  clause itself is attached to a primary statement that can
   be a
  
   SELECT
  
  ,
  
   INSERT
  
  ,
  
   UPDATE
  
  ,
  
   DELETE
  
  , or
  
   MERGE
  
  .
 
      7.8.1. 
      
       SELECT
      
      in
      
       WITH
      
      
       #
      
     
    
   The basic value of
   
    SELECT
   
   in
   
    WITH
   
   is to
   break down complicated queries into simpler parts.  An example is:
  
WITH regional_sales AS (
    SELECT region, SUM(amount) AS total_sales
    FROM orders
    GROUP BY region
), top_regions AS (
    SELECT region
    FROM regional_sales
    WHERE total_sales > (SELECT SUM(total_sales)/10 FROM regional_sales)
)
SELECT region,
       product,
       SUM(quantity) AS product_units,
       SUM(amount) AS product_sales
FROM orders
WHERE region IN (SELECT region FROM top_regions)
GROUP BY region, product;
  
   which displays per-product sales totals in only the top sales regions.
   The
   
    WITH
   
   clause defines two auxiliary statements named
   
    regional_sales
   
   and
   
    top_regions
   
   ,
   where the output of
   
    regional_sales
   
   is used in
   
    top_regions
   
   and the output of
   
    top_regions
   
   is used in the primary
   
    SELECT
   
   query.
   This example could have been written without
   
    WITH
   
   ,
   but we'd have needed two levels of nested sub-
   
    SELECT
   
   s.  It's a bit
   easier to follow this way.
  
7.8.2. Recursive Queries #
   
   
   The optional
   
    RECURSIVE
   
   modifier changes
   
    WITH
   
   from a mere syntactic convenience into a feature that accomplishes
   things not otherwise possible in standard SQL.  Using
   
    RECURSIVE
   
   , a
   
    WITH
   
   query can refer to its own
   output.  A very simple example is this query to sum the integers from 1
   through 100:
  
WITH RECURSIVE t(n) AS (
    VALUES (1)
  UNION ALL
    SELECT n+1 FROM t WHERE n < 100
)
SELECT sum(n) FROM t;
  
   The general form of a recursive
   
    WITH
   
   query is always a
   
    non-recursive term
   
   , then
   
    UNION
   
   (or
   
    UNION ALL
   
   ), then a
   
    recursive term
   
   , where only the recursive term can contain
   a reference to the query's own output.  Such a query is executed as
   follows:
  
Recursive Query Evaluation
- 
     Evaluate the non-recursive term. For UNION(but notUNION ALL), discard duplicate rows. Include all remaining rows in the result of the recursive query, and also place them in a temporary working table .
- 
     So long as the working table is not empty, repeat these steps: - 
       Evaluate the recursive term, substituting the current contents of the working table for the recursive self-reference. For UNION(but notUNION ALL), discard duplicate rows and rows that duplicate any previous result row. Include all remaining rows in the result of the recursive query, and also place them in a temporary intermediate table .
- 
       Replace the contents of the working table with the contents of the intermediate table, then empty the intermediate table. 
 
- 
       
Note
    While
    
     RECURSIVE
    
    allows queries to be specified
    recursively, internally such queries are evaluated iteratively.
   
   In the example above, the working table has just a single row in each step,
   and it takes on the values from 1 through 100 in successive steps.  In
   the 100th step, there is no output because of the
   
    WHERE
   
   clause, and so the query terminates.
  
Recursive queries are typically used to deal with hierarchical or tree-structured data. A useful example is this query to find all the direct and indirect sub-parts of a product, given only a table that shows immediate inclusions:
WITH RECURSIVE included_parts(sub_part, part, quantity) AS (
    SELECT sub_part, part, quantity FROM parts WHERE part = 'our_product'
  UNION ALL
    SELECT p.sub_part, p.part, p.quantity * pr.quantity
    FROM included_parts pr, parts p
    WHERE p.part = pr.sub_part
)
SELECT sub_part, SUM(quantity) as total_quantity
FROM included_parts
GROUP BY sub_part
  
7.8.2.1. Search Order #
When computing a tree traversal using a recursive query, you might want to order the results in either depth-first or breadth-first order. This can be done by computing an ordering column alongside the other data columns and using that to sort the results at the end. Note that this does not actually control in which order the query evaluation visits the rows; that is as always in SQL implementation-dependent. This approach merely provides a convenient way to order the results afterwards.
    To create a depth-first order, we compute for each result row an array of
    rows that we have visited so far.  For example, consider the following
    query that searches a table
    
     tree
    
    using a
    
     link
    
    field:
   
WITH RECURSIVE search_tree(id, link, data) AS (
    SELECT t.id, t.link, t.data
    FROM tree t
  UNION ALL
    SELECT t.id, t.link, t.data
    FROM tree t, search_tree st
    WHERE t.id = st.link
)
SELECT * FROM search_tree;
   To add depth-first ordering information, you can write this:
WITH RECURSIVE search_tree(id, link, data, path) AS ( SELECT t.id, t.link, t.data, ARRAY[t.id] FROM tree t UNION ALL SELECT t.id, t.link, t.data, path || t.id FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY path;
    In the general case where more than one field needs to be used to identify
    a row, use an array of rows.  For example, if we needed to track fields
    
     f1
    
    and
    
     f2
    
    :
   
WITH RECURSIVE search_tree(id, link, data, path) AS ( SELECT t.id, t.link, t.data, ARRAY[ROW(t.f1, t.f2)] FROM tree t UNION ALL SELECT t.id, t.link, t.data, path || ROW(t.f1, t.f2) FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY path;
Tip
     Omit the
     
      ROW()
     
     syntax in the common case where only one
     field needs to be tracked.  This allows a simple array rather than a
     composite-type array to be used, gaining efficiency.
    
To create a breadth-first order, you can add a column that tracks the depth of the search, for example:
WITH RECURSIVE search_tree(id, link, data, depth) AS ( SELECT t.id, t.link, t.data, 0 FROM tree t UNION ALL SELECT t.id, t.link, t.data, depth + 1 FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY depth;
To get a stable sort, add data columns as secondary sorting columns.
Tip
The recursive query evaluation algorithm produces its output in breadth-first search order. However, this is an implementation detail and it is perhaps unsound to rely on it. The order of the rows within each level is certainly undefined, so some explicit ordering might be desired in any case.
There is built-in syntax to compute a depth- or breadth-first sort column. For example:
WITH RECURSIVE search_tree(id, link, data) AS (
    SELECT t.id, t.link, t.data
    FROM tree t
  UNION ALL
    SELECT t.id, t.link, t.data
    FROM tree t, search_tree st
    WHERE t.id = st.link
) SEARCH DEPTH FIRST BY id SET ordercol
SELECT * FROM search_tree ORDER BY ordercol;
WITH RECURSIVE search_tree(id, link, data) AS (
    SELECT t.id, t.link, t.data
    FROM tree t
  UNION ALL
    SELECT t.id, t.link, t.data
    FROM tree t, search_tree st
    WHERE t.id = st.link
) SEARCH BREADTH FIRST BY id SET ordercol
SELECT * FROM search_tree ORDER BY ordercol;
   
    This syntax is internally expanded to something similar to the above
    hand-written forms.  The
    
     SEARCH
    
    clause specifies whether
    depth- or breadth first search is wanted, the list of columns to track for
    sorting, and a column name that will contain the result data that can be
    used for sorting.  That column will implicitly be added to the output rows
    of the CTE.
   
7.8.2.2. Cycle Detection #
    When working with recursive queries it is important to be sure that
   the recursive part of the query will eventually return no tuples,
   or else the query will loop indefinitely.  Sometimes, using
    
     UNION
    
    instead of
    
     UNION ALL
    
    can accomplish this
   by discarding rows that duplicate previous output rows.  However, often a
   cycle does not involve output rows that are completely duplicate: it may be
   necessary to check just one or a few fields to see if the same point has
   been reached before.  The standard method for handling such situations is
   to compute an array of the already-visited values.  For example, consider again
   the following query that searches a table
    
     graph
    
    using a
    
     link
    
    field:
   
WITH RECURSIVE search_graph(id, link, data, depth) AS (
    SELECT g.id, g.link, g.data, 0
    FROM graph g
  UNION ALL
    SELECT g.id, g.link, g.data, sg.depth + 1
    FROM graph g, search_graph sg
    WHERE g.id = sg.link
)
SELECT * FROM search_graph;
   
    This query will loop if the
    
     link
    
    relationships contain
   cycles.  Because we require a
    
     "
     
      depth
     
     "
    
    output, just changing
    
     UNION ALL
    
    to
    
     UNION
    
    would not eliminate the looping.
   Instead we need to recognize whether we have reached the same row again
   while following a particular path of links.  We add two columns
    
     is_cycle
    
    and
    
     path
    
    to the loop-prone query:
   
WITH RECURSIVE search_graph(id, link, data, depth, is_cycle, path) AS ( SELECT g.id, g.link, g.data, 0, false, ARRAY[g.id] FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1, g.id = ANY(path), path || g.id FROM graph g, search_graph sg WHERE g.id = sg.link AND NOT is_cycle ) SELECT * FROM search_graph;
Aside from preventing cycles, the array value is often useful in its own right as representing the " path " taken to reach any particular row.
    In the general case where more than one field needs to be checked to
   recognize a cycle, use an array of rows.  For example, if we needed to
   compare fields
    
     f1
    
    and
    
     f2
    
    :
   
WITH RECURSIVE search_graph(id, link, data, depth, is_cycle, path) AS ( SELECT g.id, g.link, g.data, 0, false, ARRAY[ROW(g.f1, g.f2)] FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1, ROW(g.f1, g.f2) = ANY(path), path || ROW(g.f1, g.f2) FROM graph g, search_graph sg WHERE g.id = sg.link AND NOT is_cycle ) SELECT * FROM search_graph;
Tip
     Omit the
     
      ROW()
     
     syntax in the common case where only one field
    needs to be checked to recognize a cycle.  This allows a simple array
    rather than a composite-type array to be used, gaining efficiency.
    
There is built-in syntax to simplify cycle detection. The above query can also be written like this:
WITH RECURSIVE search_graph(id, link, data, depth) AS (
    SELECT g.id, g.link, g.data, 1
    FROM graph g
  UNION ALL
    SELECT g.id, g.link, g.data, sg.depth + 1
    FROM graph g, search_graph sg
    WHERE g.id = sg.link
) CYCLE id SET is_cycle USING path
SELECT * FROM search_graph;
   
    and it will be internally rewritten to the above form.  The
    
     CYCLE
    
    clause specifies first the list of columns to
   track for cycle detection, then a column name that will show whether a
   cycle has been detected, and finally the name of another column that will track the
   path.  The cycle and path columns will implicitly be added to the output
   rows of the CTE.
   
Tip
     The cycle path column is computed in the same way as the depth-first
    ordering column show in the previous section.  A query can have both a
     
      SEARCH
     
     and a
     
      CYCLE
     
     clause, but a
    depth-first search specification and a cycle detection specification would
    create redundant computations, so it's more efficient to just use the
     
      CYCLE
     
     clause and order by the path column.  If
    breadth-first ordering is wanted, then specifying both
     
      SEARCH
     
     and
     
      CYCLE
     
     can be useful.
    
    A helpful trick for testing queries
   when you are not certain if they might loop is to place a
    
     LIMIT
    
    in the parent query.  For example, this query would loop forever without
   the
    
     LIMIT
    
    :
   
WITH RECURSIVE t(n) AS (
    SELECT 1
  UNION ALL
    SELECT n+1 FROM t
)
SELECT n FROM t LIMIT 100;
   
    This works because
    
     PostgreSQL
    
    's implementation
   evaluates only as many rows of a
    
     WITH
    
    query as are actually
   fetched by the parent query.  Using this trick in production is not
   recommended, because other systems might work differently.  Also, it
   usually won't work if you make the outer query sort the recursive query's
   results or join them to some other table, because in such cases the
   outer query will usually try to fetch all of the
    
     WITH
    
    query's
   output anyway.
   
7.8.3. Common Table Expression Materialization #
   A useful property of
   
    WITH
   
   queries is that they are
   normally evaluated only once per execution of the parent query, even if
   they are referred to more than once by the parent query or
   sibling
   
    WITH
   
   queries.
   Thus, expensive calculations that are needed in multiple places can be
   placed within a
   
    WITH
   
   query to avoid redundant work.  Another
   possible application is to prevent unwanted multiple evaluations of
   functions with side-effects.
   However, the other side of this coin is that the optimizer is not able to
   push restrictions from the parent query down into a multiply-referenced
   
    WITH
   
   query, since that might affect all uses of the
   
    WITH
   
   query's output when it should affect only one.
   The multiply-referenced
   
    WITH
   
   query will be
   evaluated as written, without suppression of rows that the parent query
   might discard afterwards.  (But, as mentioned above, evaluation might stop
   early if the reference(s) to the query demand only a limited number of
   rows.)
  
   However, if a
   
    WITH
   
   query is non-recursive and
   side-effect-free (that is, it is a
   
    SELECT
   
   containing
   no volatile functions) then it can be folded into the parent query,
   allowing joint optimization of the two query levels.  By default, this
   happens if the parent query references the
   
    WITH
   
   query
   just once, but not if it references the
   
    WITH
   
   query
   more than once.  You can override that decision by
   specifying
   
    MATERIALIZED
   
   to force separate calculation
   of the
   
    WITH
   
   query, or by specifying
   
    NOT
   MATERIALIZED
   
   to force it to be merged into the parent query.
   The latter choice risks duplicate computation of
   the
   
    WITH
   
   query, but it can still give a net savings if
   each usage of the
   
    WITH
   
   query needs only a small part
   of the
   
    WITH
   
   query's full output.
  
A simple example of these rules is
WITH w AS (
    SELECT * FROM big_table
)
SELECT * FROM w WHERE key = 123;
  
   This
   
    WITH
   
   query will be folded, producing the same
   execution plan as
  
SELECT * FROM big_table WHERE key = 123;
   In particular, if there's an index on
   
    key
   
   ,
   it will probably be used to fetch just the rows having
   
    key =
   123
   
   .  On the other hand, in
  
WITH w AS (
    SELECT * FROM big_table
)
SELECT * FROM w AS w1 JOIN w AS w2 ON w1.key = w2.ref
WHERE w2.key = 123;
  
   the
   
    WITH
   
   query will be materialized, producing a
   temporary copy of
   
    big_table
   
   that is then
   joined with itself - without benefit of any index.  This query
   will be executed much more efficiently if written as
  
WITH w AS NOT MATERIALIZED (
    SELECT * FROM big_table
)
SELECT * FROM w AS w1 JOIN w AS w2 ON w1.key = w2.ref
WHERE w2.key = 123;
  
   so that the parent query's restrictions can be applied directly
   to scans of
   
    big_table
   
   .
  
   An example where
   
    NOT MATERIALIZED
   
   could be
   undesirable is
  
WITH w AS (
    SELECT key, very_expensive_function(val) as f FROM some_table
)
SELECT * FROM w AS w1 JOIN w AS w2 ON w1.f = w2.f;
  
   Here, materialization of the
   
    WITH
   
   query ensures
   that
   
    very_expensive_function
   
   is evaluated only
   once per table row, not twice.
  
   The examples above only show
   
    WITH
   
   being used with
   
    SELECT
   
   , but it can be attached in the same way to
   
    INSERT
   
   ,
   
    UPDATE
   
   ,
   
    DELETE
   
   , or
   
    MERGE
   
   .
   In each case it effectively provides temporary table(s) that can
   be referred to in the main command.
  
      7.8.4. Data-Modifying Statements in
      
       WITH
      
      
       #
      
     
    
   You can use most data-modifying statements (
   
    INSERT
   
   ,
   
    UPDATE
   
   , or
   
    DELETE
   
   , but not
   
    MERGE
   
   ) in
   
    WITH
   
   .  This
    allows you to perform several different operations in the same query.
    An example is:
  
WITH moved_rows AS (
    DELETE FROM products
    WHERE
        "date" >= '2010-10-01' AND
        "date" < '2010-11-01'
    RETURNING *
)
INSERT INTO products_log
SELECT * FROM moved_rows;
  
   This query effectively moves rows from
   
    products
   
   to
   
    products_log
   
   .  The
   
    DELETE
   
   in
   
    WITH
   
   deletes the specified rows from
   
    products
   
   , returning their
    contents by means of its
   
    RETURNING
   
   clause; and then the
    primary query reads that output and inserts it into
   
    products_log
   
   .
  
   A fine point of the above example is that the
   
    WITH
   
   clause is
    attached to the
   
    INSERT
   
   , not the sub-
   
    SELECT
   
   within
    the
   
    INSERT
   
   .  This is necessary because data-modifying
    statements are only allowed in
   
    WITH
   
   clauses that are attached
    to the top-level statement.  However, normal
   
    WITH
   
   visibility
    rules apply, so it is possible to refer to the
   
    WITH
   
   statement's output from the sub-
   
    SELECT
   
   .
  
   Data-modifying statements in
   
    WITH
   
   usually have
   
    RETURNING
   
   clauses (see
   
    Section 6.4
   
   ),
    as shown in the example above.
    It is the output of the
   
    RETURNING
   
   clause,
   
    
     not
    
   
   the
    target table of the data-modifying statement, that forms the temporary
    table that can be referred to by the rest of the query.  If a
    data-modifying statement in
   
    WITH
   
   lacks a
   
    RETURNING
   
   clause, then it forms no temporary table and cannot be referred to in
    the rest of the query.  Such a statement will be executed nonetheless.
    A not-particularly-useful example is:
  
WITH t AS (
    DELETE FROM foo
)
DELETE FROM bar;
  
   This example would remove all rows from tables
   
    foo
   
   and
   
    bar
   
   .  The number of affected rows reported to the client
    would only include rows removed from
   
    bar
   
   .
  
   Recursive self-references in data-modifying statements are not
    allowed.  In some cases it is possible to work around this limitation by
    referring to the output of a recursive
   
    WITH
   
   , for example:
  
WITH RECURSIVE included_parts(sub_part, part) AS (
    SELECT sub_part, part FROM parts WHERE part = 'our_product'
  UNION ALL
    SELECT p.sub_part, p.part
    FROM included_parts pr, parts p
    WHERE p.part = pr.sub_part
)
DELETE FROM parts
  WHERE part IN (SELECT part FROM included_parts);
  This query would remove all direct and indirect subparts of a product.
   Data-modifying statements in
   
    WITH
   
   are executed exactly once,
    and always to completion, independently of whether the primary query
    reads all (or indeed any) of their output.  Notice that this is different
    from the rule for
   
    SELECT
   
   in
   
    WITH
   
   : as stated in the
    previous section, execution of a
   
    SELECT
   
   is carried only as far
    as the primary query demands its output.
  
   The sub-statements in
   
    WITH
   
   are executed concurrently with
    each other and with the main query.  Therefore, when using data-modifying
    statements in
   
    WITH
   
   , the order in which the specified updates
    actually happen is unpredictable.  All the statements are executed with
    the same
   
    snapshot
   
   (see
   
    Chapter 13
   
   ), so they
    cannot
   
    "
    
     see
    
    "
   
   one another's effects on the target tables.  This
    alleviates the effects of the unpredictability of the actual order of row
    updates, and means that
   
    RETURNING
   
   data is the only way to
    communicate changes between different
   
    WITH
   
   sub-statements and
    the main query.  An example of this is that in
  
WITH t AS (
    UPDATE products SET price = price * 1.05
    RETURNING *
)
SELECT * FROM products;
  
   the outer
   
    SELECT
   
   would return the original prices before the
    action of the
   
    UPDATE
   
   , while in
  
WITH t AS (
    UPDATE products SET price = price * 1.05
    RETURNING *
)
SELECT * FROM t;
  
   the outer
   
    SELECT
   
   would return the updated data.
  
   Trying to update the same row twice in a single statement is not
    supported.  Only one of the modifications takes place, but it is not easy
    (and sometimes not possible) to reliably predict which one.  This also
    applies to deleting a row that was already updated in the same statement:
    only the update is performed.  Therefore you should generally avoid trying
    to modify a single row twice in a single statement.  In particular avoid
    writing
   
    WITH
   
   sub-statements that could affect the same rows
    changed by the main statement or a sibling sub-statement.  The effects
    of such a statement will not be predictable.
  
   At present, any table used as the target of a data-modifying statement in
   
    WITH
   
   must not have a conditional rule, nor an
   
    ALSO
   
   rule, nor an
   
    INSTEAD
   
   rule that expands to multiple statements.