ClickHouse/tests/queries/0_stateless/00829_bitmap_function.sql

SELECT bitmapToArray(bitmapBuild([1, 2, 3, 4, 5]));
SELECT bitmapToArray(bitmapAnd(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])));
SELECT bitmapToArray(bitmapOr(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])));
SELECT bitmapToArray(bitmapXor(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])));
SELECT bitmapToArray(bitmapAndnot(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])));
SELECT bitmapCardinality(bitmapBuild([1, 2, 3, 4, 5]));
SELECT bitmapAndCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]));
SELECT bitmapOrCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]));
SELECT bitmapXorCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]));
SELECT bitmapAndnotCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]));
SELECT bitmapAndCardinality(bitmapBuild([100, 200, 500]), bitmapBuild(CAST([100, 200], 'Array(UInt16)')));
SELECT bitmapToArray(bitmapAnd(bitmapBuild([100, 200, 500]), bitmapBuild(CAST([100, 200], 'Array(UInt16)'))));

DROP TABLE IF EXISTS bitmap_test;
CREATE TABLE bitmap_test(pickup_date Date, city_id UInt32, uid UInt32)ENGINE = Memory;
INSERT INTO bitmap_test SELECT '2019-01-01', 1, number FROM numbers(1,50);
INSERT INTO bitmap_test SELECT '2019-01-02', 1, number FROM numbers(11,60);
INSERT INTO bitmap_test SELECT '2019-01-03', 2, number FROM numbers(1,10);


SELECT groupBitmap( uid ) AS user_num FROM bitmap_test;

SELECT pickup_date, groupBitmap( uid ) AS user_num, bitmapToArray(groupBitmapState( uid )) AS users FROM bitmap_test GROUP BY pickup_date;

SELECT
    bitmapCardinality(day_today) AS today_users,
    bitmapCardinality(day_before) AS before_users,
    bitmapOrCardinality(day_today, day_before) AS all_users,
    bitmapAndCardinality(day_today, day_before) AS old_users,
    bitmapAndnotCardinality(day_today, day_before) AS new_users,
    bitmapXorCardinality(day_today, day_before) AS diff_users
FROM
(
 SELECT city_id, groupBitmapState( uid ) AS day_today FROM bitmap_test WHERE pickup_date = '2019-01-02' GROUP BY city_id
) js1
ALL LEFT JOIN
(
 SELECT city_id, groupBitmapState( uid ) AS day_before FROM bitmap_test WHERE pickup_date = '2019-01-01' GROUP BY city_id
) js2
USING city_id;

SELECT
    bitmapCardinality(day_today) AS today_users,
    bitmapCardinality(day_before) AS before_users,
    bitmapCardinality(bitmapOr(day_today, day_before))ll_users,
    bitmapCardinality(bitmapAnd(day_today, day_before)) AS old_users,
    bitmapCardinality(bitmapAndnot(day_today, day_before)) AS new_users,
    bitmapCardinality(bitmapXor(day_today, day_before)) AS diff_users
FROM
(
 SELECT city_id, groupBitmapState( uid ) AS day_today FROM bitmap_test WHERE pickup_date = '2019-01-02' GROUP BY city_id
) js1
ALL LEFT JOIN
(
 SELECT city_id, groupBitmapState( uid ) AS day_before FROM bitmap_test WHERE pickup_date = '2019-01-01' GROUP BY city_id
) js2
USING city_id;

SELECT count(*) FROM bitmap_test WHERE bitmapHasAny((SELECT groupBitmapState(uid) FROM bitmap_test WHERE pickup_date = '2019-01-01'), bitmapBuild([uid]));

SELECT count(*) FROM bitmap_test WHERE bitmapHasAny(bitmapBuild([uid]), (SELECT groupBitmapState(uid) FROM bitmap_test WHERE pickup_date = '2019-01-01'));

SELECT count(*) FROM bitmap_test WHERE 0 = bitmapHasAny((SELECT groupBitmapState(uid) FROM bitmap_test WHERE pickup_date = '2019-01-01'), bitmapBuild([uid]));

SELECT count(*) FROM bitmap_test WHERE bitmapContains((SELECT groupBitmapState(uid) FROM bitmap_test WHERE pickup_date = '2019-01-01'), uid);

SELECT count(*) FROM bitmap_test WHERE 0 = bitmapContains((SELECT groupBitmapState(uid) FROM bitmap_test WHERE pickup_date = '2019-01-01'), uid);

-- PR#8082
SELECT bitmapToArray(bitmapAnd(groupBitmapState(uid), bitmapBuild(CAST([1, 2, 3], 'Array(UInt32)')))) FROM bitmap_test GROUP BY city_id;

-- bitmap state test
DROP TABLE IF EXISTS bitmap_state_test;
set allow_deprecated_syntax_for_merge_tree=1;
CREATE TABLE bitmap_state_test
(
	pickup_date Date,
	city_id UInt32,
    uv AggregateFunction( groupBitmap, UInt32 )
)
ENGINE = AggregatingMergeTree( pickup_date, ( pickup_date, city_id ), 8192);

INSERT INTO bitmap_state_test SELECT
    pickup_date,
    city_id,
    groupBitmapState(uid) AS uv
FROM bitmap_test
GROUP BY pickup_date, city_id;

SELECT pickup_date, groupBitmapMerge(uv) AS users from bitmap_state_test group by pickup_date;

-- between column and expression test
DROP TABLE IF EXISTS bitmap_column_expr_test;
CREATE TABLE bitmap_column_expr_test
(
    t DateTime,
    z AggregateFunction(groupBitmap, UInt32)
)
ENGINE = MergeTree
PARTITION BY toYYYYMMDD(t)
ORDER BY t;

INSERT INTO bitmap_column_expr_test VALUES (now(), bitmapBuild(cast([3,19,47] as Array(UInt32))));

SELECT bitmapAndCardinality( bitmapBuild(cast([19,7] AS Array(UInt32))), z) FROM bitmap_column_expr_test;
SELECT bitmapAndCardinality( z, bitmapBuild(cast([19,7] AS Array(UInt32))) ) FROM bitmap_column_expr_test;

SELECT bitmapCardinality(bitmapAnd(bitmapBuild(cast([19,7] AS Array(UInt32))), z )) FROM bitmap_column_expr_test;
SELECT bitmapCardinality(bitmapAnd(z, bitmapBuild(cast([19,7] AS Array(UInt32))))) FROM bitmap_column_expr_test;

DROP TABLE IF EXISTS bitmap_column_expr_test2;
CREATE TABLE bitmap_column_expr_test2
(
    tag_id String,
    z AggregateFunction(groupBitmap, UInt32)
)
ENGINE = MergeTree
ORDER BY tag_id;

INSERT INTO bitmap_column_expr_test2 VALUES ('tag1', bitmapBuild(cast([1,2,3,4,5,6,7,8,9,10] as Array(UInt32))));
INSERT INTO bitmap_column_expr_test2 VALUES ('tag2', bitmapBuild(cast([6,7,8,9,10,11,12,13,14,15] as Array(UInt32))));
INSERT INTO bitmap_column_expr_test2 VALUES ('tag3', bitmapBuild(cast([2,4,6,8,10,12] as Array(UInt32))));

SELECT groupBitmapMerge(z) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');
SELECT arraySort(bitmapToArray(groupBitmapMergeState(z))) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');

SELECT groupBitmapOr(z) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');
SELECT arraySort(bitmapToArray(groupBitmapOrState(z))) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');

SELECT groupBitmapAnd(z) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');
SELECT arraySort(bitmapToArray(groupBitmapAndState(z))) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');

SELECT groupBitmapXor(z) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');
SELECT arraySort(bitmapToArray(groupBitmapXorState(z))) FROM bitmap_column_expr_test2 WHERE like(tag_id, 'tag%');


DROP TABLE IF EXISTS bitmap_column_expr_test3;
CREATE TABLE bitmap_column_expr_test3
(
    tag_id String,
    z AggregateFunction(groupBitmap, UInt64),
    replace Nested (
        from UInt16,
        to UInt64
    )
)
ENGINE = MergeTree
ORDER BY tag_id;

DROP TABLE IF EXISTS numbers10;
CREATE VIEW numbers10 AS SELECT number FROM system.numbers LIMIT 10;

INSERT INTO bitmap_column_expr_test3(tag_id, z, replace.from, replace.to) SELECT 'tag1', groupBitmapState(toUInt64(number)), cast([] as Array(UInt16)), cast([] as Array(UInt64)) FROM numbers10;
INSERT INTO bitmap_column_expr_test3(tag_id, z, replace.from, replace.to) SELECT 'tag2', groupBitmapState(toUInt64(number)), cast([0] as Array(UInt16)), cast([2] as Array(UInt64)) FROM numbers10;
INSERT INTO bitmap_column_expr_test3(tag_id, z, replace.from, replace.to) SELECT 'tag3', groupBitmapState(toUInt64(number)), cast([0,7] as Array(UInt16)), cast([3,101] as Array(UInt64)) FROM numbers10;
INSERT INTO bitmap_column_expr_test3(tag_id, z, replace.from, replace.to) SELECT 'tag4', groupBitmapState(toUInt64(number)), cast([5,999,2] as Array(UInt16)), cast([2,888,20] as Array(UInt64)) FROM numbers10;

SELECT tag_id, bitmapToArray(z), replace.from, replace.to, bitmapToArray(bitmapTransform(z, replace.from, replace.to)) FROM bitmap_column_expr_test3 ORDER BY tag_id;


DROP TABLE IF EXISTS bitmap_test;
DROP TABLE IF EXISTS bitmap_state_test;
DROP TABLE IF EXISTS bitmap_column_expr_test;
DROP TABLE IF EXISTS bitmap_column_expr_test2;
DROP TABLE IF EXISTS numbers10;
DROP TABLE IF EXISTS bitmap_column_expr_test3;

-- bitmapHasAny:
---- Empty
SELECT bitmapHasAny(bitmapBuild([1, 2, 3, 5]), bitmapBuild(emptyArrayUInt8()));
SELECT bitmapHasAny(bitmapBuild(emptyArrayUInt32()), bitmapBuild(emptyArrayUInt32()));
SELECT bitmapHasAny(bitmapBuild(emptyArrayUInt16()), bitmapBuild([1, 2, 3, 500]));
---- Small x Small
SELECT bitmapHasAny(bitmapBuild([1, 2, 3, 5]),bitmapBuild([0, 3, 7]));
SELECT bitmapHasAny(bitmapBuild([1, 2, 3, 5]),bitmapBuild([0, 4, 7]));
---- Small x Large
select bitmapHasAny(bitmapBuild([100,110,120]),bitmapBuild([ 99, 100, 101,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));
select bitmapHasAny(bitmapBuild([100,200,500]),bitmapBuild([ 99, 101, 600,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));
---- Large x Small
select bitmapHasAny(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,230]),bitmapBuild([ 99, 100, 101]));
select bitmapHasAny(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),bitmapBuild([ 99, 101, 600]));
---- Large x Large
select bitmapHasAny(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    40,50,60]),bitmapBuild([ 41, 50, 61,
    99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65]));
select bitmapHasAny(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    40,50,60]),bitmapBuild([ 41, 49, 51, 61,
    99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65]));

-- bitmapHasAll:
---- Empty
SELECT bitmapHasAll(bitmapBuild([1, 2, 3, 5]), bitmapBuild(emptyArrayUInt8()));
SELECT bitmapHasAll(bitmapBuild(emptyArrayUInt32()), bitmapBuild(emptyArrayUInt32()));
SELECT bitmapHasAll(bitmapBuild(emptyArrayUInt16()), bitmapBuild([1, 2, 3, 500]));
---- Small x Small
select bitmapHasAll(bitmapBuild([1,5,7,9]),bitmapBuild([5,7]));
select bitmapHasAll(bitmapBuild([1,5,7,9]),bitmapBuild([5,7,2]));
---- Small x Large
select bitmapHasAll(bitmapBuild([100,110,120]),bitmapBuild([ 99, 100, 101,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));
select bitmapHasAll(bitmapBuild([100,200,500]),bitmapBuild([ 99, 101, 600,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));
---- Small x LargeSmall
select bitmapHasAll(bitmapBuild([1,5,7,9]),bitmapXor(bitmapBuild([1,5,7]), bitmapBuild([5,7,9])));
select bitmapHasAll(bitmapBuild([1,5,7,9]),bitmapXor(bitmapBuild([1,5,7]), bitmapBuild([2,5,7])));
---- Large x Small
select bitmapHasAll(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),bitmapBuild([100, 500]));
select bitmapHasAll(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),bitmapBuild([ 99, 100, 500]));
---- LargeSmall x Small
select bitmapHasAll(bitmapXor(bitmapBuild([1,7]), bitmapBuild([5,7,9])), bitmapBuild([1,5]));
select bitmapHasAll(bitmapXor(bitmapBuild([1,7]), bitmapBuild([5,7,9])), bitmapBuild([1,5,7]));
---- Large x Large
select bitmapHasAll(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),bitmapBuild([ 100, 200, 500,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));
select bitmapHasAll(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),bitmapBuild([ 100, 200, 501,
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]));

-- bitmapContains:
---- Empty
SELECT bitmapContains(bitmapBuild(emptyArrayUInt32()), toUInt8(0));
SELECT bitmapContains(bitmapBuild(emptyArrayUInt16()), toUInt16(5));
---- Small
select bitmapContains(bitmapBuild([1,5,7,9]),toUInt32(0));
select bitmapContains(bitmapBuild([1,5,7,9]),toUInt64(9));
---- Large
select bitmapContains(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),toUInt32(100));
select bitmapContains(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),toUInt32(101));
select bitmapContains(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]),toUInt32(500));

-- bitmapSubsetInRange:
---- Empty
SELECT bitmapToArray(bitmapSubsetInRange(bitmapBuild(emptyArrayUInt32()), toUInt64(0), toUInt32(10)));
SELECT bitmapToArray(bitmapSubsetInRange(bitmapBuild(emptyArrayUInt16()), toUInt32(0), toUInt64(10)));
---- Small
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([1,5,7,9]), toUInt8(0), toUInt16(4)));
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([1,5,7,9]), toUInt32(10), toUInt64(10)));
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([1,5,7,9]), toUInt64(3), toUInt32(7)));
---- Large
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt8(0), toUInt32(100)));
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt64(30), toUInt32(200)));
select bitmapToArray(bitmapSubsetInRange(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(100), toUInt64(200)));

-- bitmapSubsetLimit:
---- Empty
SELECT bitmapToArray(bitmapSubsetLimit(bitmapBuild(emptyArrayUInt32()), toUInt8(0), toUInt32(10)));
SELECT bitmapToArray(bitmapSubsetLimit(bitmapBuild(emptyArrayUInt16()), toUInt32(0), toUInt64(10)));
---- Small
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([1,5,7,9]), toUInt8(0), toUInt32(4)));
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([1,5,7,9]), toUInt32(10), toUInt64(10)));
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([1,5,7,9]), toUInt16(3), toUInt32(7)));
---- Large
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(0), toUInt32(100)));
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(30), toUInt32(200)));
select bitmapToArray(bitmapSubsetLimit(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(100), toUInt16(200)));

-- subBitmap:
---- Empty
SELECT bitmapToArray(subBitmap(bitmapBuild(emptyArrayUInt32()), toUInt8(0), toUInt32(10)));
SELECT bitmapToArray(subBitmap(bitmapBuild(emptyArrayUInt16()), toUInt32(0), toUInt64(10)));
---- Small
select bitmapToArray(subBitmap(bitmapBuild([1,5,7,9]), toUInt8(0), toUInt32(4)));
select bitmapToArray(subBitmap(bitmapBuild([1,5,7,9]), toUInt32(1), toUInt64(4)));
select bitmapToArray(subBitmap(bitmapBuild([1,5,7,9]), toUInt16(1), toUInt32(2)));
---- Large
select bitmapToArray(subBitmap(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(0), toUInt32(10)));
select bitmapToArray(subBitmap(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(30), toUInt32(200)));
select bitmapToArray(subBitmap(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]), toUInt32(34), toUInt16(3)));

-- bitmapMin:
---- Empty
SELECT bitmapMin(bitmapBuild(emptyArrayUInt8()));
SELECT bitmapMin(bitmapBuild(emptyArrayUInt16()));
SELECT bitmapMin(bitmapBuild(emptyArrayUInt32()));
---- Small
select bitmapMin(bitmapBuild([1,5,7,9]));
---- Large
select bitmapMin(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]));

-- bitmapMax:
---- Empty
SELECT bitmapMax(bitmapBuild(emptyArrayUInt8()));
SELECT bitmapMax(bitmapBuild(emptyArrayUInt16()));
SELECT bitmapMax(bitmapBuild(emptyArrayUInt32()));
---- Small
select bitmapMax(bitmapBuild([1,5,7,9]));
---- Large
select bitmapMax(bitmapBuild([
    0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
    100,200,500]));


-- reproduce #18911
CREATE TABLE bitmap_test(pickup_date Date, city_id UInt32, uid UInt32)ENGINE = Memory;
INSERT INTO bitmap_test SELECT '2019-01-01', 1, number FROM numbers(1,50);
INSERT INTO bitmap_test SELECT '2019-01-02', 1, number FROM numbers(11,60);
INSERT INTO bitmap_test SELECT '2019-01-03', 2, number FROM numbers(1,10);

SELECT
    bitmapCardinality(day_today) AS today_users,
    bitmapCardinality(day_before) AS before_users,
    bitmapOrCardinality(day_today, day_before) AS all_users,
    bitmapAndCardinality(day_today, day_before) AS old_users,
    bitmapAndnotCardinality(day_today, day_before) AS new_users,
    bitmapXorCardinality(day_today, day_before) AS diff_users
FROM
(
    SELECT
        city_id,
        groupBitmapState(uid) AS day_today
    FROM bitmap_test
    WHERE pickup_date = '2019-01-02'
    GROUP BY
        rand((rand((rand('') % nan) = NULL) % 7) % rand(NULL)),
        city_id
) AS js1
ALL LEFT JOIN
(
    SELECT
        city_id,
        groupBitmapState(uid) AS day_before
    FROM bitmap_test
    WHERE pickup_date = '2019-01-01'
    GROUP BY city_id
) AS js2 USING (city_id) FORMAT Null;
drop table bitmap_test;