ST_QuantizeCoordinates
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## Name

ST_QuantizeCoordinates — Sets least significant bits of coordinates to zero

## Synopsis

`geometry ST_QuantizeCoordinates (` geometry g , int prec_x , int prec_y , int prec_z , int prec_m `)`;

## Description

`ST_QuantizeCoordinates` determines the number of bits (`N`) required to represent a coordinate value with a specified number of digits after the decimal point, and then sets all but the `N` most significant bits to zero. The resulting coordinate value will still round to the original value, but will have improved compressiblity. This can result in a significant disk usage reduction provided that the geometry column is using a compressible storage type. The function allows specification of a different number of digits after the decimal point in each dimension; unspecified dimensions are assumed to have the precision of the `x` dimension. Negative digits are interpreted to refer digits to the left of the decimal point, (i.e., `prec_x=-2` will preserve coordinate values to the nearest 100.

The coordinates produced by `ST_QuantizeCoordinates` are independent of the geometry that contains those coordinates and the relative position of those coordinates within the geometry. As a result, existing topological relationships between geometries are unaffected by use of this function. The function may produce invalid geometry when it is called with a number of digits lower than the intrinsic precision of the geometry.

Availability: 2.5.0

## Technical Background

PostGIS stores all coordinate values as double-precision floating point integers, which can reliably represent 15 significant digits. However, PostGIS may be used to manage data that intrinsically has fewer than 15 significant digits. An example is TIGER data, which is provided as geographic coordinates with six digits of precision after the decimal point (thus requiring only nine significant digits of longitude and eight significant digits of latitude.)

When 15 significant digits are available, there are many possible representations of a number with 9 significant digits. A double precision floating point number uses 52 explicit bits to represent the significand (mantissa) of the coordinate. Only 30 bits are needed to represent a mantissa with 9 significant digits, leaving 22 insignificant bits; we can set their value to anything we like and still end up with a number that rounds to our input value. For example, the value 100.123456 can be represented by the floating point numbers closest to 100.123456000000, 100.123456000001, and 100.123456432199. All are equally valid, in that `ST_AsText(geom, 6)` will return the same result with any of these inputs. As we can set these bits to any value, `ST_QuantizeCoordinates` sets the 22 insignificant bits to zero. For a long coordinate sequence this creates a pattern of blocks of consecutive zeros that is compressed by PostgreSQL more effeciently.

Only the on-disk size of the geometry is potentially affected by `ST_QuantizeCoordinates`. ST_MemSize, which reports the in-memory usage of the geometry, will return the the same value regardless of the disk space used by a geometry.

## Examples

    SELECT ST_AsText(ST_QuantizeCoordinates('POINT (100.123456 0)'::geometry, 4));
    st_astext
    -------------------------
    POINT(100.123455047607 0)

    WITH test AS (SELECT 'POINT (123.456789123456 123.456789123456)'::geometry AS geom)
    SELECT
      digits,
      encode(ST_QuantizeCoordinates(geom, digits), 'hex'),
      ST_AsText(ST_QuantizeCoordinates(geom, digits))
    FROM test, generate_series(15, -15, -1) AS digits;

    digits  |                   encode                   |                st_astext
    --------+--------------------------------------------+------------------------------------------
    15      | 01010000005f9a72083cdd5e405f9a72083cdd5e40 | POINT(123.456789123456 123.456789123456)
    14      | 01010000005f9a72083cdd5e405f9a72083cdd5e40 | POINT(123.456789123456 123.456789123456)
    13      | 01010000005f9a72083cdd5e405f9a72083cdd5e40 | POINT(123.456789123456 123.456789123456)
    12      | 01010000005c9a72083cdd5e405c9a72083cdd5e40 | POINT(123.456789123456 123.456789123456)
    11      | 0101000000409a72083cdd5e40409a72083cdd5e40 | POINT(123.456789123456 123.456789123456)
    10      | 0101000000009a72083cdd5e40009a72083cdd5e40 | POINT(123.456789123455 123.456789123455)
    9       | 0101000000009072083cdd5e40009072083cdd5e40 | POINT(123.456789123418 123.456789123418)
    8       | 0101000000008072083cdd5e40008072083cdd5e40 | POINT(123.45678912336 123.45678912336)
    7       | 0101000000000070083cdd5e40000070083cdd5e40 | POINT(123.456789121032 123.456789121032)
    6       | 0101000000000040083cdd5e40000040083cdd5e40 | POINT(123.456789076328 123.456789076328)
    5       | 0101000000000000083cdd5e40000000083cdd5e40 | POINT(123.456789016724 123.456789016724)
    4       | 0101000000000000003cdd5e40000000003cdd5e40 | POINT(123.456787109375 123.456787109375)
    3       | 0101000000000000003cdd5e40000000003cdd5e40 | POINT(123.456787109375 123.456787109375)
    2       | 01010000000000000038dd5e400000000038dd5e40 | POINT(123.45654296875 123.45654296875)
    1       | 01010000000000000000dd5e400000000000dd5e40 | POINT(123.453125 123.453125)
    0       | 01010000000000000000dc5e400000000000dc5e40 | POINT(123.4375 123.4375)
    -1      | 01010000000000000000c05e400000000000c05e40 | POINT(123 123)
    -2      | 01010000000000000000005e400000000000005e40 | POINT(120 120)
    -3      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -4      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -5      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -6      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -7      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -8      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -9      | 010100000000000000000058400000000000005840 | POINT(96 96)
    -10     | 010100000000000000000058400000000000005840 | POINT(96 96)
    -11     | 010100000000000000000058400000000000005840 | POINT(96 96)
    -12     | 010100000000000000000058400000000000005840 | POINT(96 96)
    -13     | 010100000000000000000058400000000000005840 | POINT(96 96)
    -14     | 010100000000000000000058400000000000005840 | POINT(96 96)
    -15     | 010100000000000000000058400000000000005840 | POINT(96 96)

## See Also

ST_SnapToGrid

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