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PARQUET-2471: Add GEOMETRY and GEOGRAPHY logical types (#240)
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Co-authored-by: Dewey Dunnington <[email protected]>
Co-authored-by: Jia Yu <[email protected]>
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164 changes: 164 additions & 0 deletions Geospatial.md
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Geospatial Definitions
====

This document contains the specification of geospatial types and statistics.

# Background

The Geometry and Geography class hierarchy and its Well-Known Text (WKT) and
Well-Known Binary (WKB) serializations (ISO variant supporting XY, XYZ, XYM,
XYZM) are defined by [OpenGIS Implementation Specification for Geographic
information - Simple feature access - Part 1: Common architecture][sfa-part1],
from [OGC(Open Geospatial Consortium)][ogc].

The version of the OGC standard first used here is 1.2.1, but future versions
may also be used if the WKB representation remains wire-compatible.

[sfa-part1]: https://portal.ogc.org/files/?artifact_id=25355
[ogc]: https://www.ogc.org/standard/sfa/

## Coordinate Reference System

Coordinate Reference System (CRS) is a mapping of how coordinates refer to
locations on Earth.

The default CRS `OGC:CRS84` means that the geospatial features must be stored
in the order of longitude/latitude based on the WGS84 datum.

Custom CRS can be specified by a string value. It is recommended to use an
identifier-based approach like [Spatial reference identifier][srid].

For geographic CRS, longitudes are bound by [-180, 180] and latitudes are bound
by [-90, 90].

[srid]: https://en.wikipedia.org/wiki/Spatial_reference_system#Identifier

## Edge Interpolation Algorithm

An algorithm for interpolating edges, and is one of the following values:

* `spherical`: edges are interpolated as geodesics on a sphere.
* `vincenty`: [https://en.wikipedia.org/wiki/Vincenty%27s_formulae](https://en.wikipedia.org/wiki/Vincenty%27s_formulae)
* `thomas`: Thomas, Paul D. Spheroidal geodesics, reference systems, & local geometry. US Naval Oceanographic Office, 1970.
* `andoyer`: Thomas, Paul D. Mathematical models for navigation systems. US Naval Oceanographic Office, 1965.
* `karney`: [Karney, Charles FF. "Algorithms for geodesics." Journal of Geodesy 87 (2013): 43-55](https://link.springer.com/content/pdf/10.1007/s00190-012-0578-z.pdf), and [GeographicLib](https://geographiclib.sourceforge.io/)

# Logical Types

Two geospatial logical type annotations are supported:
* `GEOMETRY`: geospatial features in the WKB format with linear/planar edges interpolation. See [Geometry](LogicalTypes.md#geometry)
* `GEOGRAPHY`: geospatial features in the WKB format with an explicit (non-linear/non-planar) edges interpolation algorithm. See [Geography](LogicalTypes.md#geography)

# Statistics

`GeospatialStatistics` is a struct specific for `GEOMETRY` and `GEOGRAPHY`
logical types to store statistics of a column chunk. It is an optional field in
the `ColumnMetaData` and contains [Bounding Box](#bounding-box) and [Geospatial
Types](#geospatial-types) that are described below in detail.

## Bounding Box

A geospatial instance has at least two coordinate dimensions: X and Y for 2D
coordinates of each point. Please note that X is longitude/easting and Y is
latitude/northing. A geospatial instance can optionally have Z and/or M values
associated with each point.

The Z values introduce the third dimension coordinate. Usually they are used to
indicate the height, or elevation.

M values are an opportunity for a geospatial instance to express a fourth
dimension as a coordinate value. These values can be used as a linear reference
value (e.g., highway milepost value), a timestamp, or some other value as defined
by the CRS.

Bounding box is defined as the thrift struct below in the representation of
min/max value pair of coordinates from each axis. Note that X and Y Values are
always present. Z and M are omitted for 2D geospatial instances.

For the X values only, xmin may be greater than xmax. In this case, an object
in this bounding box may match if it contains an X such that `x >= xmin` OR
`x <= xmax`. This wraparound occurs only when the corresponding bounding box
crosses the antimeridian line. In geographic terminology, the concepts of `xmin`,
`xmax`, `ymin`, and `ymax` are also known as `westernmost`, `easternmost`,
`southernmost` and `northernmost`, respectively.

For `GEOGRAPHY` types, X and Y values are restricted to the canonical ranges of
[-180, 180] for X and [-90, 90] for Y.

```thrift
struct BoundingBox {
1: required double xmin;
2: required double xmax;
3: required double ymin;
4: required double ymax;
5: optional double zmin;
6: optional double zmax;
7: optional double mmin;
8: optional double mmax;
}
```

## Geospatial Types

A list of geospatial types from all instances in the `GEOMETRY` or `GEOGRAPHY`
column, or an empty list if they are not known.

This is borrowed from [geometry_types of GeoParquet][geometry-types] except that
values in the list are [WKB (ISO-variant) integer codes][wkb-integer-code].
Table below shows the most common geospatial types and their codes:

| Type | XY | XYZ | XYM | XYZM |
| :----------------- | :--- | :--- | :--- | :--: |
| Point | 0001 | 1001 | 2001 | 3001 |
| LineString | 0002 | 1002 | 2002 | 3002 |
| Polygon | 0003 | 1003 | 2003 | 3003 |
| MultiPoint | 0004 | 1004 | 2004 | 3004 |
| MultiLineString | 0005 | 1005 | 2005 | 3005 |
| MultiPolygon | 0006 | 1006 | 2006 | 3006 |
| GeometryCollection | 0007 | 1007 | 2007 | 3007 |

In addition, the following rules are applied:
- A list of multiple values indicates that multiple geospatial types are present (e.g. `[0003, 0006]`).
- An empty array explicitly signals that the geospatial types are not known.
- The geospatial types in the list must be unique (e.g. `[0001, 0001]` is not valid).

[geometry-types]: https://github.com/opengeospatial/geoparquet/blob/v1.1.0/format-specs/geoparquet.md?plain=1#L159
[wkb-integer-code]: https://en.wikipedia.org/wiki/Well-known_text_representation_of_geometry#Well-known_binary

# CRS Customization

CRS is represented as a string value. Writer and reader implementations are
responsible for serializing and deserializing the CRS, respectively.

As a convention to maximize the interoperability, custom CRS values can be
specified by a string of the format `type:identifier`, where `type` is one of
the following values:

* `srid`: [Spatial reference identifier](https://en.wikipedia.org/wiki/Spatial_reference_system#Identifier), `identifier` is the SRID itself.
* `projjson`: [PROJJSON](https://proj.org/en/stable/specifications/projjson.html), `identifier` is the name of a table property or a file property where the projjson string is stored.

# Coordinate axis order

The axis order of the coordinates in WKB and bounding box stored in Parquet
follows the de facto standard for axis order in WKB and is therefore always
(x, y) where x is easting or longitude and y is northing or latitude. This
ordering explicitly overrides the axis order as specified in the CRS.
33 changes: 33 additions & 0 deletions LogicalTypes.md
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Expand Up @@ -599,6 +599,39 @@ optional group variant_shredded (VARIANT) {
}
```

### GEOMETRY

`GEOMETRY` is used for geospatial features in the Well-Known Binary (WKB) format
with linear/planar edges interpolation. It must annotate a `BYTE_ARRAY`
primitive type. See [Geospatial.md](Geospatial.md) for more detail.

The type has only one type parameter:
- `crs`: An optional string value for CRS. If unset, the CRS defaults to
`"OGC:CRS84"`, which means that the geometries must be stored in longitude,
latitude based on the WGS84 datum.

The sort order used for `GEOMETRY` is undefined. When writing data, no min/max
statistics should be saved for this type and if such non-compliant statistics
are found during reading, they must be ignored.

### GEOGRAPHY

`GEOGRAPHY` is used for geospatial features in the WKB format with an explicit
(non-linear/non-planar) edges interpolation algorithm. It must annotate a
`BYTE_ARRAY` primitive type. See [Geospatial.md](Geospatial.md) for more detail.

The type has two type parameters:
- `crs`: An optional string value for CRS. It must be a geographic CRS, where
longitudes are bound by [-180, 180] and latitudes are bound by [-90, 90].
If unset, the CRS defaults to `"OGC:CRS84"`.
- `algorithm`: An optional enum value to describes the edge interpolation
algorithm. Supported values are: `SPHERICAL`, `VINCENTY`, `THOMAS`, `ANDOYER`,
`KARNEY`. If unset, the algorithm defaults to `SPHERICAL`.

The sort order used for `GEOGRAPHY` is undefined. When writing data, no min/max
statistics should be saved for this type and if such non-compliant statistics
are found during reading, they must be ignored.

## Nested Types

This section specifies how `LIST` and `MAP` can be used to encode nested types
Expand Down
79 changes: 79 additions & 0 deletions src/main/thrift/parquet.thrift
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Expand Up @@ -237,6 +237,29 @@ struct SizeStatistics {
3: optional list<i64> definition_level_histogram;
}

/**
* Bounding box for GEOMETRY or GEOGRAPHY type in the representation of min/max
* value pair of coordinates from each axis.
*/
struct BoundingBox {
1: required double xmin;
2: required double xmax;
3: required double ymin;
4: required double ymax;
5: optional double zmin;
6: optional double zmax;
7: optional double mmin;
8: optional double mmax;
}

/** Statistics specific to Geometry and Geography logical types */
struct GeospatialStatistics {
/** A bounding box of geospatial instances */
1: optional BoundingBox bbox;
/** Geospatial type codes of all instances, or an empty list if not known */
2: optional list<i32> geospatial_types;
}

/**
* Statistics per row group and per page
* All fields are optional.
Expand Down Expand Up @@ -386,6 +409,55 @@ struct BsonType {
struct VariantType {
}

/** Edge interpolation algorithm for Geography logical type */
enum EdgeInterpolationAlgorithm {
SPHERICAL = 0;
VINCENTY = 1;
THOMAS = 2;
ANDOYER = 3;
KARNEY = 4;
}

/**
* Embedded Geometry logical type annotation
*
* Geospatial features in the Well-Known Binary (WKB) format and edges interpolation
* is always linear/planar.
*
* A custom CRS can be set by the crs field. If unset, it defaults to "OGC:CRS84",
* which means that the geometries must be stored in longitude, latitude based on
* the WGS84 datum.
*
* Allowed for physical type: BYTE_ARRAY.
*
* See Geospatial.md for details.
*/
struct GeometryType {
1: optional string crs;
}

/**
* Embedded Geography logical type annotation
*
* Geospatial features in the WKB format with an explicit (non-linear/non-planar)
* edges interpolation algorithm.
*
* A custom geographic CRS can be set by the crs field, where longitudes are
* bound by [-180, 180] and latitudes are bound by [-90, 90]. If unset, the CRS
* defaults to "OGC:CRS84".
*
* An optional algorithm can be set to correctly interpret edges interpolation
* of the geometries. If unset, the algorithm defaults to SPHERICAL.
*
* Allowed for physical type: BYTE_ARRAY.
*
* See Geospatial.md for details.
*/
struct GeographyType {
1: optional string crs;
2: optional EdgeInterpolationAlgorithm algorithm;
}

/**
* LogicalType annotations to replace ConvertedType.
*
Expand Down Expand Up @@ -417,6 +489,8 @@ union LogicalType {
14: UUIDType UUID // no compatible ConvertedType
15: Float16Type FLOAT16 // no compatible ConvertedType
16: VariantType VARIANT // no compatible ConvertedType
17: GeometryType GEOMETRY // no compatible ConvertedType
18: GeographyType GEOGRAPHY // no compatible ConvertedType
}

/**
Expand Down Expand Up @@ -857,6 +931,9 @@ struct ColumnMetaData {
* filter pushdown.
*/
16: optional SizeStatistics size_statistics;

/** Optional statistics specific for Geometry and Geography logical types */
17: optional GeospatialStatistics geospatial_statistics;
}

struct EncryptionWithFooterKey {
Expand Down Expand Up @@ -988,6 +1065,8 @@ union ColumnOrder {
* LIST - undefined
* MAP - undefined
* VARIANT - undefined
* GEOMETRY - undefined
* GEOGRAPHY - undefined
*
* In the absence of logical types, the sort order is determined by the physical type:
* BOOLEAN - false, true
Expand Down

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