Relational Data - Functions - Bitmap Functions
Bitmaps can be constructed in two ways. The first way is constructed by aggregation function groupBitmap with -State
, the other way is to constructed a bitmap from an Array object.
bitmapBuild
Builds a bitmap from an unsigned integer array.
Syntax
bitmapBuild(array)
Arguments
array
– Unsigned integer array.
Example
SELECT bitmapBuild([1, 2, 3, 4, 5]) AS res, toTypeName(res);
┌─res─┬─toTypeName(bitmapBuild([1, 2, 3, 4, 5]))─────┐
│ │ AggregateFunction(groupBitmap, UInt8) │
└─────┴──────────────────────────────────────────────┘
bitmapToArray
Converts bitmap to an integer array.
Syntax
bitmapToArray(bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapToArray(bitmapBuild([1, 2, 3, 4, 5])) AS res;
Result:
┌─res─────────┐
│ [1,2,3,4,5] │
└─────────────┘
bitmapSubsetInRange
Returns the subset of a bitmap with bits within a value interval.
Syntax
bitmapSubsetInRange(bitmap, range_start, range_end)
Arguments
bitmap
– Bitmap object.range_start
– Start of the range (inclusive). UInt32.range_end
– End of the range (exclusive). UInt32.
Example
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(30), toUInt32(200))) AS res;
Result:
┌─res───────────────┐
│ [30,31,32,33,100] │
└───────────────────┘
bitmapSubsetLimit
Returns a subset of a bitmap with smallest bit value range_start
and at most cardinality_limit
elements.
Syntax
bitmapSubsetLimit(bitmap, range_start, cardinality_limit)
Arguments
bitmap
– Bitmap object.range_start
– Start of the range (inclusive). UInt32.cardinality_limit
– Maximum cardinality of the subset. UInt32.
Example
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))) AS res;
Result:
┌─res───────────────────────┐
│ [30,31,32,33,100,200,500] │
└───────────────────────────┘
subBitmap
Returns a subset of the bitmap, starting from position offset
. The maximum cardinality of the returned bitmap is cardinality_limit
.
Syntax
subBitmap(bitmap, offset, cardinality_limit)
Arguments
bitmap
– The bitmap. Bitmap object.offset
– The position of the first element of the subset. UInt32.cardinality_limit
– The maximum number of elements in the subset. UInt32.
Example
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(10), toUInt32(10))) AS res;
Result:
┌─res─────────────────────────────┐
│ [10,11,12,13,14,15,16,17,18,19] │
└─────────────────────────────────┘
bitmapContains
Checks whether the bitmap contains an element.
bitmapContains(bitmap, needle)
Arguments
bitmap
– Bitmap object.needle
– Searched bit value. UInt32.
Returned values
Example
SELECT bitmapContains(bitmapBuild([1,5,7,9]), toUInt32(9)) AS res;
Result:
┌─res─┐
│ 1 │
└─────┘
bitmapHasAny
Checks whether two bitmaps intersect.
If bitmap2
contains exactly one element, consider using bitmapContains instead as it works more efficiently.
Syntax
bitmapHasAny(bitmap1, bitmap2)
Arguments
bitmap1
– Bitmap object 1.bitmap2
– Bitmap object 2.
Return values
1
, ifbitmap1
andbitmap2
have at least one shared element.0
, otherwise.
Example
SELECT bitmapHasAny(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 1 │
└─────┘
bitmapHasAll
Returns 1 if the first bitmap contains all elements of the second bitmap, otherwise 0. If the second bitmap is empty, returns 1.
Also see hasAll(array, array)
.
Syntax
bitmapHasAll(bitmap1, bitmap2)
Arguments
bitmap1
– Bitmap object 1.bitmap2
– Bitmap object 2.
Example
SELECT bitmapHasAll(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 0 │
└─────┘
bitmapCardinality
Returns the cardinality of a bitmap.
Syntax
bitmapCardinality(bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapCardinality(bitmapBuild([1, 2, 3, 4, 5])) AS res;
Result:
┌─res─┐
│ 5 │
└─────┘
bitmapMin
Computes the smallest bit set in a bitmap, or UINT32_MAX if the bitmap is empty.
Syntax
bitmapMin(bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapMin(bitmapBuild([1, 2, 3, 4, 5])) AS res;
Result:
┌─res─┐
│ 1 │
└─────┘
bitmapMax
Computes the greatest bit set in a bitmap, or 0 if the bitmap is empty.
Syntax
bitmapMax(bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapMax(bitmapBuild([1, 2, 3, 4, 5])) AS res;
Result:
┌─res─┐
│ 5 │
└─────┘
bitmapTransform
Replaces at most N bits in a bitmap. The old and new value of the i-th replaced bit is given by from_array[i]
and to_array[i]
.
The result depends on the array ordering if from_array
and to_array
.
Syntax
bitmapTransform(bitmap, from_array, to_array)
Arguments
bitmap
– Bitmap object.from_array
– UInt32 array. For idx in range [0, from_array.size()), if bitmap contains from_array[idx], then replace it with to_array[idx].to_array
– UInt32 array with the same size asfrom_array
.
Example
SELECT bitmapToArray(bitmapTransform(bitmapBuild([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]), cast([5,999,2] as Array(UInt32)), cast([2,888,20] as Array(UInt32)))) AS res;
Result:
┌─res───────────────────┐
│ [1,3,4,6,7,8,9,10,20] │
└───────────────────────┘
bitmapAnd
Computes the logical conjunction of two bitmaps.
Syntax
bitmapAnd(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapToArray(bitmapAnd(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]))) AS res;
Result:
┌─res─┐
│ [3] │
└─────┘
bitmapOr
Computes the logical disjunction of two bitmaps.
Syntax
bitmapOr(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapToArray(bitmapOr(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]))) AS res;
Result:
┌─res─────────┐
│ [1,2,3,4,5] │
└─────────────┘
bitmapXor
Xor-s two bitmaps.
Syntax
bitmapXor(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapToArray(bitmapXor(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]))) AS res;
Result:
┌─res───────┐
│ [1,2,4,5] │
└───────────┘
bitmapAndnot
Computes the logical conjunction of two bitmaps and negates the result.
Syntax
bitmapAndnot(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapToArray(bitmapAndnot(bitmapBuild([1,2,3]),bitmapBuild([3,4,5]))) AS res;
Result:
┌─res───┐
│ [1,2] │
└───────┘
bitmapAndCardinality
Returns the cardinality of the logical conjunction of two bitmaps.
Syntax
bitmapAndCardinality(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapAndCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 1 │
└─────┘
bitmapOrCardinality
Returns the cardinality of the logical disjunction of two bitmaps.
bitmapOrCardinality(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapOrCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 5 │
└─────┘
bitmapXorCardinality
Returns the cardinality of the XOR of two bitmaps.
bitmapXorCardinality(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapXorCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 4 │
└─────┘
bitmapAndnotCardinality
Returns the cardinality of the AND-NOT operation of two bitmaps.
bitmapAndnotCardinality(bitmap,bitmap)
Arguments
bitmap
– Bitmap object.
Example
SELECT bitmapAndnotCardinality(bitmapBuild([1,2,3]),bitmapBuild([3,4,5])) AS res;
Result:
┌─res─┐
│ 2 │
└─────┘