Lag / Lead

Sample data

CREATE TABLE llexample (
    g Int32,
    a Date )
ENGINE = Memory;

INSERT INTO llexample SELECT
    number % 3,
    toDate('2020-01-01') + number
FROM numbers(10);

SELECT * FROM llexample ORDER BY g,a;

┌─g─┬──────────a─┐
 0  2020-01-01 
 0  2020-01-04 
 0  2020-01-07 
 0  2020-01-10 
 1  2020-01-02 
 1  2020-01-05 
 1  2020-01-08 
 2  2020-01-03 
 2  2020-01-06 
 2  2020-01-09 
└───┴────────────┘

Using arrays

select g, (arrayJoin(tuple_ll) as ll).1 a, ll.2 prev, ll.3 next
from (
select g, arrayZip( arraySort(groupArray(a)) as aa,
                    arrayPopBack(arrayPushFront(aa, toDate(0))),
                    arrayPopFront(arrayPushBack(aa, toDate(0))) ) tuple_ll
from llexample
group by g)
order by g, a;

┌─g─┬──────────a─┬───────prev─┬───────next─┐
 0  2020-01-01  1970-01-01  2020-01-04 
 0  2020-01-04  2020-01-01  2020-01-07 
 0  2020-01-07  2020-01-04  2020-01-10 
 0  2020-01-10  2020-01-07  1970-01-01 
 1  2020-01-02  1970-01-01  2020-01-05 
 1  2020-01-05  2020-01-02  2020-01-08 
 1  2020-01-08  2020-01-05  1970-01-01 
 2  2020-01-03  1970-01-01  2020-01-06 
 2  2020-01-06  2020-01-03  2020-01-09 
 2  2020-01-09  2020-01-06  1970-01-01 
└───┴────────────┴────────────┴────────────┘

Using window functions (starting from Clickhouse 21.3)

SET allow_experimental_window_functions = 1;

SELECT
    g,
    a,
    any(a) OVER (PARTITION BY g ORDER BY a ASC ROWS
                 BETWEEN 1 PRECEDING AND 1 PRECEDING) AS prev,
    any(a) OVER (PARTITION BY g ORDER BY a ASC ROWS
                 BETWEEN 1 FOLLOWING AND 1 FOLLOWING) AS next
FROM llexample
ORDER BY
    g ASC,
    a ASC;

┌─g─┬──────────a─┬───────prev─┬───────next─┐
 0  2020-01-01  1970-01-01  2020-01-04 
 0  2020-01-04  2020-01-01  2020-01-07 
 0  2020-01-07  2020-01-04  2020-01-10 
 0  2020-01-10  2020-01-07  1970-01-01 
 1  2020-01-02  1970-01-01  2020-01-05 
 1  2020-01-05  2020-01-02  2020-01-08 
 1  2020-01-08  2020-01-05  1970-01-01 
 2  2020-01-03  1970-01-01  2020-01-06 
 2  2020-01-06  2020-01-03  2020-01-09 
 2  2020-01-09  2020-01-06  1970-01-01 
└───┴────────────┴────────────┴────────────┘

Using lagInFrame/leadInFrame (starting from ClickHouse 21.4)

SELECT
    g,
    a,
    lagInFrame(a) OVER (PARTITION BY g ORDER BY a ASC ROWS
                 BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS prev,
    leadInFrame(a) OVER (PARTITION BY g ORDER BY a ASC ROWS
                 BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING) AS next
FROM llexample
ORDER BY
    g ASC,
    a ASC;

┌─g─┬──────────a─┬───────prev─┬───────next─┐
 0  2020-01-01  1970-01-01  2020-01-04 
 0  2020-01-04  2020-01-01  2020-01-07 
 0  2020-01-07  2020-01-04  2020-01-10 
 0  2020-01-10  2020-01-07  1970-01-01 
 1  2020-01-02  1970-01-01  2020-01-05 
 1  2020-01-05  2020-01-02  2020-01-08 
 1  2020-01-08  2020-01-05  1970-01-01 
 2  2020-01-03  1970-01-01  2020-01-06 
 2  2020-01-06  2020-01-03  2020-01-09 
 2  2020-01-09  2020-01-06  1970-01-01 
└───┴────────────┴────────────┴────────────┘

Using neighbor (no grouping, incorrect result over blocks)

SELECT
    g,
    a,
    neighbor(a, -1) AS prev,
    neighbor(a, 1) AS next
FROM
(
    SELECT *
    FROM llexample
    ORDER BY
        g ASC,
        a ASC
);

┌─g─┬──────────a─┬───────prev─┬───────next─┐
 0  2020-01-01  1970-01-01  2020-01-04 
 0  2020-01-04  2020-01-01  2020-01-07 
 0  2020-01-07  2020-01-04  2020-01-10 
 0  2020-01-10  2020-01-07  2020-01-02 
 1  2020-01-02  2020-01-10  2020-01-05 
 1  2020-01-05  2020-01-02  2020-01-08 
 1  2020-01-08  2020-01-05  2020-01-03 
 2  2020-01-03  2020-01-08  2020-01-06 
 2  2020-01-06  2020-01-03  2020-01-09 
 2  2020-01-09  2020-01-06  1970-01-01 
└───┴────────────┴────────────┴────────────┘
Last modified 2021.10.19: Update lag-lead.md (fee8bd5)