ds) {
+ String[] rows = (String[]) ds.toJSON().collect();
+ Arrays.sort(rows);
+ return Arrays.asList(rows);
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/examples/N01HelloWorld.java b/src/main/java/org/mobilitydb/spark/examples/N01HelloWorld.java
new file mode 100644
index 00000000..619fafb3
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/examples/N01HelloWorld.java
@@ -0,0 +1,70 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.examples;
+
+import org.apache.spark.sql.SparkSession;
+import org.mobilitydb.spark.MobilitySparkSession;
+
+import static functions.functions.*;
+
+/**
+ * N01 Hello World — the minimal MobilitySpark program.
+ *
+ * Creates a single tgeompoint value inside Spark SQL, rounds it back to
+ * text, and prints it. Mirrors meos/examples/01_hello_world.c.
+ *
+ * Run with:
+ * spark-submit --class org.mobilitydb.spark.examples.N01HelloWorld \
+ * target/mobilityspark-0.1.0-SNAPSHOT-spark.jar
+ */
+public final class N01HelloWorld {
+
+ public static void main(String[] args) {
+ SparkSession spark = SparkSession.builder()
+ .master("local[*]")
+ .appName("MobilitySpark N01 Hello World")
+ .getOrCreate();
+ spark.sparkContext().setLogLevel("WARN");
+
+ try (MobilitySparkSession ms = MobilitySparkSession.create(spark)) {
+
+ // Build a tgeompoint sequence and round-trip through hex-WKB.
+ String wkt = "[POINT(1 1)@2020-01-01 00:00:00+00, "
+ + "POINT(2 2)@2020-01-01 01:00:00+00]";
+ String hex = temporal_as_hexwkb(tgeompoint_in(wkt), (byte) 0);
+
+ // Register a simple view so we can use Spark SQL.
+ spark.sql("CREATE OR REPLACE TEMPORARY VIEW trips AS "
+ + "SELECT '" + hex + "' AS trip");
+
+ System.out.println("=== Hello World: tgeompoint round-trip ===");
+ spark.sql("SELECT trip FROM trips").show(false);
+
+ } finally {
+ spark.stop();
+ }
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/examples/N02AISData.java b/src/main/java/org/mobilitydb/spark/examples/N02AISData.java
new file mode 100644
index 00000000..9bc4a0a2
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/examples/N02AISData.java
@@ -0,0 +1,147 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.examples;
+
+import org.apache.spark.sql.SparkSession;
+import org.mobilitydb.spark.MobilitySparkSession;
+
+/**
+ * N02 AIS Data Lake — cloud analytics on a TemporalParquet shard.
+ *
+ * Reads the {@code edge_to_cloud_demo.parquet} written by MobilityDuck's
+ * {@code examples/quickstart/quickstart.sql} and runs three analytics queries
+ * using the same named-function SQL dialect as MobilityDB and MobilityDuck.
+ *
+ * The TemporalParquet encoding convention:
+ *
+ * - MobilityDuck writes the {@code traj} column as a Parquet
+ * {@code BYTE_ARRAY} via {@code asBinary(traj)}.
+ *
- Spark reads it as {@code BinaryType} ({@code byte[]}).
+ *
- {@code tgeompointFromBinary(traj)} decodes the MEOS-WKB bytes
+ * into the hex-WKB STRING used by all other UDFs.
+ *
+ *
+ * Queries mirror {@code quickstart.sql} (MobilityDuck) and
+ * {@code quickstart_mobilitydb.sql} (PostgreSQL/MobilityDB):
+ *
+ * - Query A: total path length + peak speed per vessel
+ *
- Query B: vessels that entered the Copenhagen bounding box
+ *
- Query C: trip duration per vessel
+ *
+ *
+ * Run with:
+ *
+ * spark-submit --class org.mobilitydb.spark.examples.N02AISData \
+ * target/mobilityspark-0.1.0-SNAPSHOT-spark.jar \
+ * [path/to/edge_to_cloud_demo.parquet]
+ *
+ * If no path is given, the file is looked up relative to the working directory.
+ *
+ * To generate the Parquet shard, run MobilityDuck's quickstart first:
+ *
+ * TZ=UTC ./build/release/duckdb :memory: \
+ * -f examples/quickstart/quickstart.sql
+ *
+ */
+public final class N02AISData {
+
+ private static final String COPENHAGEN_BOX =
+ "POLYGON((11.5 55.0, 13.5 55.0, 13.5 56.5, 11.5 56.5, 11.5 55.0))";
+
+ public static void main(String[] args) {
+ String parquetPath = args.length > 0 ? args[0] : "edge_to_cloud_demo.parquet";
+
+ SparkSession spark = SparkSession.builder()
+ .master("local[*]")
+ .appName("MobilitySpark N02 AIS Data Lake")
+ .getOrCreate();
+ spark.sparkContext().setLogLevel("WARN");
+
+ try (MobilitySparkSession ms = MobilitySparkSession.create(spark)) {
+ run(spark, parquetPath);
+ } finally {
+ spark.stop();
+ }
+ }
+
+ static void run(SparkSession spark, String parquetPath) {
+ // Decode the MEOS-WKB binary column once into a temp view so each
+ // query pays the decoding cost exactly once.
+ spark.read().parquet(parquetPath).createOrReplaceTempView("ParquetRaw");
+ spark.sql("""
+ CREATE OR REPLACE TEMP VIEW Trajectories AS
+ SELECT entity_id,
+ ping_count,
+ tgeompointFromBinary(traj) AS traj
+ FROM ParquetRaw
+ """).count(); // force evaluation
+
+ // ─────────────────────────────────────────────────────────────────
+ // Query A: total path length and peak instantaneous speed per vessel
+ // length() → Euclidean distance in coordinate units (degrees for
+ // SRID 0 from MobilityDuck's tgeompoint; metres for
+ // geodetic tgeogpoint when SRID 4326 is set).
+ // maxSpeed() → peak speed in the same units/second.
+ // ─────────────────────────────────────────────────────────────────
+ System.out.println("\n=== Query A: path length and peak speed per vessel ===");
+ spark.sql("""
+ SELECT entity_id,
+ ping_count,
+ ROUND(CAST(length(traj) AS DECIMAL(20, 6)), 6) AS length,
+ ROUND(CAST(maxSpeed(traj) AS DECIMAL(20, 8)), 8) AS max_speed
+ FROM Trajectories
+ ORDER BY length DESC
+ """).show();
+
+ // ─────────────────────────────────────────────────────────────────
+ // Query B: vessels that entered the Copenhagen bounding box
+ // Approximate Øresund / Danish straits region:
+ // lon 11.5–13.5, lat 55.0–56.5
+ // eIntersects(trip, geomWkt) → true if the trip was ever inside.
+ // ─────────────────────────────────────────────────────────────────
+ System.out.println("=== Query B: vessels that entered the Copenhagen bounding box ===");
+ spark.sql("""
+ SELECT entity_id
+ FROM Trajectories
+ WHERE eIntersects(traj, '""" + COPENHAGEN_BOX + """
+ ')
+ ORDER BY entity_id
+ """).show();
+
+ // ─────────────────────────────────────────────────────────────────
+ // Query C: trip duration per vessel
+ // duration() → interval text (e.g. "01:50:00") via MEOS temporal_duration
+ // + pg_interval_out.
+ // ─────────────────────────────────────────────────────────────────
+ System.out.println("=== Query C: trip duration per vessel ===");
+ spark.sql("""
+ SELECT entity_id,
+ duration(traj) AS trip_duration
+ FROM Trajectories
+ ORDER BY entity_id
+ """).show();
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/examples/N03BerlinMOD.java b/src/main/java/org/mobilitydb/spark/examples/N03BerlinMOD.java
new file mode 100644
index 00000000..c567df37
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/examples/N03BerlinMOD.java
@@ -0,0 +1,48 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.examples;
+
+import org.apache.spark.sql.SparkSession;
+import org.mobilitydb.spark.MobilitySparkSession;
+import org.mobilitydb.spark.demo.BerlinMODDemo;
+
+/**
+ * N03 BerlinMOD — portable SQL benchmark queries Q1/Q3/Q4/Q5/Q6.
+ *
+ * Delegates to {@link BerlinMODDemo} which runs the five BerlinMOD queries
+ * in the portable named-function SQL dialect (identical to MobilityDB and
+ * MobilityDuck). Mirrors meos/examples/03_berlinmod_assemble.c.
+ *
+ * Run with:
+ * spark-submit --class org.mobilitydb.spark.examples.N03BerlinMOD \
+ * target/mobilityspark-0.1.0-SNAPSHOT-spark.jar
+ */
+public final class N03BerlinMOD {
+
+ public static void main(String[] args) {
+ BerlinMODDemo.main(args);
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/geo/GeoUDFs.java b/src/main/java/org/mobilitydb/spark/geo/GeoUDFs.java
new file mode 100644
index 00000000..9f492f29
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/geo/GeoUDFs.java
@@ -0,0 +1,397 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.geo;
+
+import functions.functions;
+import jnr.ffi.Pointer;
+import org.apache.spark.sql.api.java.*;
+import org.apache.spark.sql.types.DataTypes;
+
+/**
+ * Spark SQL UDFs for spatial (geometry) operations on tgeompoint.
+ *
+ * Storage convention:
+ * tgeompoint → hex-WKB STRING (temporal_as_hexwkb / temporal_from_hexwkb)
+ * geometry → WKT STRING (e.g. "POINT(50 0)", parsed via geo_from_text)
+ *
+ * Storing geometry as WKT keeps it human-readable and avoids the hex-EWKB
+ * encoding that DuckDB's spatial extension requires as a workaround for binary
+ * interchange. Parsing overhead is negligible for query parameters.
+ *
+ * MEOS function authority: meos/include/meos_geo.h
+ * JMEOS PR: github.com/MobilityDB/JMEOS/pull/9
+ */
+public final class GeoUDFs {
+
+ private GeoUDFs() {}
+
+ // ------------------------------------------------------------------
+ // eIntersects(trip STRING, geomWkt STRING) → BOOLEAN
+ //
+ // geomWkt is a WKT string (e.g. "POINT(50 0)") with SRID 0 (default).
+ // When the trip is geodetic (tgeogpoint, SRID 4326 — e.g. from a
+ // TemporalParquet shard written by MobilityDuck), the geometry is
+ // automatically promoted to geographic via geom_to_geog() to avoid
+ // MEOS "Operation on mixed SRID" errors.
+ //
+ // MEOS: geo_from_text(const char *, int32_t srid) meos_geo.h:335
+ // tspatial_to_stbox(const Temporal *) → STBox
+ // stbox_isgeodetic(const STBox *) → bool
+ // geom_to_geog(const GSERIALIZED *) → GSERIALIZED *
+ // eintersects_tgeo_geo(const Temporal *,
+ // const GSERIALIZED *) meos_geo.h:829
+ // ------------------------------------------------------------------
+ public static final UDF2 eIntersects =
+ (trip, geomWkt) -> {
+ if (trip == null || geomWkt == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ Pointer gptr = functions.geo_from_text(geomWkt, 0);
+ if (tptr == null || gptr == null) return null;
+ Pointer bbox = functions.tspatial_to_stbox(tptr);
+ if (bbox != null && functions.stbox_isgeodetic(bbox)) {
+ gptr = functions.geom_to_geog(gptr);
+ if (gptr == null) return null;
+ }
+ return functions.eintersects_tgeo_geo(tptr, gptr) == 1;
+ };
+
+ // ------------------------------------------------------------------
+ // nearestApproachDistance(t1 STRING, t2 STRING) → DOUBLE
+ //
+ // MEOS: nad_tgeo_tgeo(const Temporal *, const Temporal *) → double
+ // meos_geo.h line ~864
+ // Returns NULL when trips have no overlapping time extent (MEOS: DBL_MAX).
+ // ------------------------------------------------------------------
+ public static final UDF2 nearestApproachDistance =
+ (trip1, trip2) -> {
+ if (trip1 == null || trip2 == null) return null;
+ Pointer p1 = functions.temporal_from_hexwkb(trip1);
+ Pointer p2 = functions.temporal_from_hexwkb(trip2);
+ if (p1 == null || p2 == null) return null;
+ double dist = functions.nad_tgeo_tgeo(p1, p2);
+ return (dist == Double.MAX_VALUE) ? null : dist;
+ };
+
+ // ------------------------------------------------------------------
+ // eDwithin(t1 STRING, t2 STRING, dist DOUBLE) → BOOLEAN
+ //
+ // MEOS: edwithin_tgeo_tgeo(const Temporal *, const Temporal *, double) → int
+ // meos_geo.h line ~828
+ // ------------------------------------------------------------------
+ public static final UDF3 eDwithin =
+ (trip1, trip2, dist) -> {
+ if (trip1 == null || trip2 == null || dist == null) return null;
+ Pointer p1 = functions.temporal_from_hexwkb(trip1);
+ Pointer p2 = functions.temporal_from_hexwkb(trip2);
+ if (p1 == null || p2 == null) return null;
+ return functions.edwithin_tgeo_tgeo(p1, p2, dist) == 1;
+ };
+
+ // ------------------------------------------------------------------
+ // tgeompoint(wkt STRING) → STRING (hex-WKB)
+ //
+ // Parses a tgeompoint WKT string (e.g. "[POINT(0 0)@2020-01-01, ...]")
+ // and returns the MEOS hex-WKB encoding for use in other UDFs.
+ //
+ // MEOS: tgeompoint_in(const char *str) → Temporal * meos_geo.h:618
+ // temporal_as_hexwkb(const Temporal *, uint8_t, size_t *) meos.h:1261
+ // ------------------------------------------------------------------
+ public static final UDF1 tgeompoint =
+ (wkt) -> {
+ if (wkt == null) return null;
+ Pointer p = functions.tgeompoint_in(wkt);
+ if (p == null) return null;
+ return functions.temporal_as_hexwkb(p, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // trajectory(trip STRING) → STRING (hex WKB geometry)
+ //
+ // Projects a tgeompoint to its spatial path: a POINT for a single
+ // instant, LINESTRING for a linear sequence. The result is a hex
+ // WKB string — the same format that PostgreSQL COPY and DuckDB COPY
+ // produce for GEOMETRY columns, making q08 byte-identical across all
+ // three platforms.
+ //
+ // MEOS: tpoint_trajectory(const Temporal *, bool merge) → GSERIALIZED *
+ // geo_as_hexewkb(const GSERIALIZED *, const char *endian) meos_geo.h
+ // ------------------------------------------------------------------
+ public static final UDF1 trajectory =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (tptr == null) return null;
+ Pointer gptr = functions.tpoint_trajectory(tptr, true);
+ if (gptr == null) return null;
+ return functions.geo_as_hexewkb(gptr, null);
+ };
+
+ // ------------------------------------------------------------------
+ // eContains(geomWKT STRING, trip STRING) → BOOLEAN
+ //
+ // Returns true if the static geometry ever contains the moving object,
+ // i.e. at some instant the vehicle's position was strictly inside the
+ // geometry's interior.
+ //
+ // Argument order: eContains(container, contained) — consistent with
+ // MobilityDB's eContains(geometry, tgeompoint).
+ //
+ // MEOS: econtains_geo_tgeo(const GSERIALIZED *, const Temporal *) → int
+ // ------------------------------------------------------------------
+ public static final UDF2 eContains =
+ (geomWkt, trip) -> {
+ if (geomWkt == null || trip == null) return null;
+ Pointer gptr = functions.geo_from_text(geomWkt, 0);
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (gptr == null || tptr == null) return null;
+ return functions.econtains_geo_tgeo(gptr, tptr) == 1;
+ };
+
+ // ------------------------------------------------------------------
+ // geomFromText(wkt STRING) → STRING (hex-EWKB)
+ //
+ // Parses a WKT geometry string with SRID 0 and returns the MEOS
+ // hex-EWKB encoding. Useful for pre-converting geometry columns;
+ // the scalar UDFs (eIntersects, eDwithin, eContains) accept raw WKT
+ // directly so this is typically not needed in query SQL.
+ //
+ // MEOS: geo_from_text(const char *, int32_t srid) → GSERIALIZED *
+ // geo_as_hexewkb(const GSERIALIZED *, const char *)
+ // ------------------------------------------------------------------
+ public static final UDF1 geomFromText =
+ (wkt) -> {
+ if (wkt == null) return null;
+ Pointer p = functions.geo_from_text(wkt, 0);
+ if (p == null) return null;
+ return functions.geo_as_hexewkb(p, null);
+ };
+
+ // ------------------------------------------------------------------
+ // length(trip STRING) → DOUBLE
+ //
+ // Returns the total Euclidean path length of a tgeompoint trip.
+ //
+ // MEOS: tpoint_length(const Temporal *) → double
+ // ------------------------------------------------------------------
+ public static final UDF1 length =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ return functions.tpoint_length(ptr);
+ };
+
+ // ------------------------------------------------------------------
+ // valueAtTimestamp(trip STRING, instant TIMESTAMP) → STRING (WKT)
+ //
+ // Returns the WKT geometry of a tgeompoint at a specific instant, or
+ // NULL if the instant is outside the trip's time extent.
+ //
+ // Epoch note: same PG-epoch convention as in TemporalUDFs.atTime.
+ //
+ // Implementation: temporal_at_timestamptz gives a TInstant; trajectory
+ // of a TInstant is the underlying point geometry.
+ //
+ // MEOS: temporal_at_timestamptz(const Temporal *, TimestampTz) → Temporal *
+ // tpoint_trajectory(const Temporal *, bool merge) → GSERIALIZED *
+ // geo_as_text(const GSERIALIZED *, int) → char *
+ // ------------------------------------------------------------------
+ public static final UDF2 valueAtTimestamp =
+ (trip, instant) -> {
+ if (trip == null || instant == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (tptr == null) return null;
+ long pgEpochMicros = (instant.getTime() - 946684800L * 1000L) * 1000L;
+ java.time.OffsetDateTime odt = java.time.OffsetDateTime.ofInstant(
+ java.time.Instant.ofEpochSecond(pgEpochMicros, 0),
+ java.time.ZoneOffset.UTC);
+ Pointer instPtr = functions.temporal_at_timestamptz(tptr, odt);
+ if (instPtr == null) return null;
+ Pointer geomPtr = functions.tpoint_trajectory(instPtr, false);
+ if (geomPtr == null) return null;
+ return functions.geo_as_text(geomPtr, 0);
+ };
+
+ // ------------------------------------------------------------------
+ // tDwithin(trip1 STRING, trip2 STRING, dist DOUBLE) → STRING (tbool hex-WKB)
+ //
+ // Returns a tbool (hex-WKB) representing at which times the two trips
+ // were within dist of each other. Pass the result to whenTrue() to
+ // get the tstzspanset of matching intervals.
+ //
+ // MEOS: tdwithin_tgeo_tgeo(const Temporal *, const Temporal *,
+ // double, bool restr, bool atvalue) → Temporal *
+ // ------------------------------------------------------------------
+ public static final UDF3 tDwithin =
+ (trip1, trip2, dist) -> {
+ if (trip1 == null || trip2 == null || dist == null) return null;
+ Pointer p1 = functions.temporal_from_hexwkb(trip1);
+ Pointer p2 = functions.temporal_from_hexwkb(trip2);
+ if (p1 == null || p2 == null) return null;
+ Pointer result = functions.tdwithin_tgeo_tgeo(p1, p2, dist, false, false);
+ if (result == null) return null;
+ return functions.temporal_as_hexwkb(result, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // whenTrue(tbool STRING) → STRING (tstzspanset text)
+ //
+ // Returns the set of time spans during which the tbool is TRUE, as a
+ // tstzspanset text (e.g. "{[t1, t2], [t3, t4]}").
+ //
+ // MEOS: tbool_when_true(const Temporal *) → SpanSet *
+ // tstzspanset_out(const SpanSet *) → char *
+ // ------------------------------------------------------------------
+ public static final UDF1 whenTrue =
+ (tboolHex) -> {
+ if (tboolHex == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(tboolHex);
+ if (ptr == null) return null;
+ Pointer ss = functions.tbool_when_true(ptr);
+ if (ss == null) return null;
+ return functions.tstzspanset_out(ss);
+ };
+
+ // ------------------------------------------------------------------
+ // aDisjoint(trip1 STRING, trip2 STRING) → BOOLEAN
+ //
+ // Returns true if the two tgeompoints are ALWAYS spatially disjoint
+ // (their spatial extents never overlap over the common time span).
+ //
+ // MEOS: adisjoint_tgeo_tgeo(const Temporal *, const Temporal *) → int
+ // ------------------------------------------------------------------
+ public static final UDF2 aDisjoint =
+ (trip1, trip2) -> {
+ if (trip1 == null || trip2 == null) return null;
+ Pointer p1 = functions.temporal_from_hexwkb(trip1);
+ Pointer p2 = functions.temporal_from_hexwkb(trip2);
+ if (p1 == null || p2 == null) return null;
+ return functions.adisjoint_tgeo_tgeo(p1, p2) == 1;
+ };
+
+ // ------------------------------------------------------------------
+ // geomContains(containerWkt STRING, pointWkt STRING) → BOOLEAN
+ //
+ // Returns true if the first geometry (container) contains the second
+ // (typically a POINT). WKT strings, SRID 0.
+ //
+ // Portable replacement for ST_Contains(geometry, geometry) when a
+ // PostGIS function is unavailable (e.g. in Spark SQL without GeoSpark).
+ //
+ // MEOS: geo_from_text(const char *, int32_t srid) → GSERIALIZED *
+ // geom_contains(const GSERIALIZED *, const GSERIALIZED *) → bool
+ // ------------------------------------------------------------------
+ public static final UDF2 geomContains =
+ (containerWkt, pointWkt) -> {
+ if (containerWkt == null || pointWkt == null) return null;
+ Pointer g1 = functions.geo_from_text(containerWkt, 0);
+ Pointer g2 = functions.geo_from_text(pointWkt, 0);
+ if (g1 == null || g2 == null) return null;
+ return functions.geom_contains(g1, g2);
+ };
+
+ // ------------------------------------------------------------------
+ // tgeompointFromBinary(wkb BINARY) → STRING (hex-WKB)
+ //
+ // Decodes a MEOS-WKB binary column written by MobilityDuck's asBinary()
+ // and returns the internal hex-WKB STRING used by all other UDFs.
+ // Entry point for reading TemporalParquet files in the edge-to-cloud
+ // pipeline — the Parquet BYTE_ARRAY traj column arrives as byte[] here.
+ //
+ // Compatible with both tgeompoint and tgeogpoint WKB (type preserved
+ // in the embedded MEOS flags). Hex conversion is case-insensitive in
+ // MEOS; we produce uppercase to match temporal_as_hexwkb output.
+ //
+ // MEOS: temporal_from_hexwkb(const char *) → Temporal *
+ // temporal_as_hexwkb(const Temporal *, uint8_t) → char *
+ // ------------------------------------------------------------------
+ public static final UDF1 tgeompointFromBinary =
+ (bytes) -> {
+ if (bytes == null) return null;
+ String hex = java.util.HexFormat.of().formatHex(bytes).toUpperCase();
+ Pointer ptr = functions.temporal_from_hexwkb(hex);
+ if (ptr == null) return null;
+ return functions.temporal_as_hexwkb(ptr, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // maxSpeed(trip STRING) → DOUBLE
+ //
+ // Returns the peak instantaneous speed of a tgeompoint trip, in the
+ // same spatial units per second as the coordinate reference system
+ // (degrees/s for SRID 0, m/s for geodetic tgeogpoint from JMEOS).
+ //
+ // MEOS: tpoint_speed(const Temporal *) → Temporal * (tfloat)
+ // tfloat_max_value(const Temporal *) → double
+ // ------------------------------------------------------------------
+ public static final UDF1 maxSpeed =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (tptr == null) return null;
+ Pointer speedPtr = functions.tpoint_speed(tptr);
+ if (speedPtr == null) return null;
+ return functions.tfloat_max_value(speedPtr);
+ };
+
+ // ------------------------------------------------------------------
+ // duration(trip STRING) → STRING (interval text, e.g. "01:50:00")
+ //
+ // Returns the total time extent of a tgeompoint trip as an interval
+ // text string. Equivalent to MobilityDB/MobilityDuck duration(traj).
+ //
+ // MEOS: temporal_duration(const Temporal *, bool) → Interval *
+ // pg_interval_out(const Interval *) → char *
+ // ------------------------------------------------------------------
+ public static final UDF1 duration =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (tptr == null) return null;
+ Pointer ivPtr = functions.temporal_duration(tptr, false);
+ if (ivPtr == null) return null;
+ return functions.pg_interval_out(ivPtr);
+ };
+
+ public static void registerAll(org.apache.spark.sql.SparkSession spark) {
+ spark.udf().register("eIntersects", eIntersects, DataTypes.BooleanType);
+ spark.udf().register("eContains", eContains, DataTypes.BooleanType);
+ spark.udf().register("nearestApproachDistance", nearestApproachDistance, DataTypes.DoubleType);
+ spark.udf().register("eDwithin", eDwithin, DataTypes.BooleanType);
+ spark.udf().register("tgeompoint", tgeompoint, DataTypes.StringType);
+ spark.udf().register("trajectory", trajectory, DataTypes.StringType);
+ spark.udf().register("geomFromText", geomFromText, DataTypes.StringType);
+ spark.udf().register("length", length, DataTypes.DoubleType);
+ spark.udf().register("valueAtTimestamp", valueAtTimestamp, DataTypes.StringType);
+ spark.udf().register("tDwithin", tDwithin, DataTypes.StringType);
+ spark.udf().register("whenTrue", whenTrue, DataTypes.StringType);
+ spark.udf().register("aDisjoint", aDisjoint, DataTypes.BooleanType);
+ spark.udf().register("geomContains", geomContains, DataTypes.BooleanType);
+ spark.udf().register("tgeompointFromBinary", tgeompointFromBinary, DataTypes.StringType);
+ spark.udf().register("maxSpeed", maxSpeed, DataTypes.DoubleType);
+ spark.udf().register("duration", duration, DataTypes.StringType);
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/temporal/SpanUDFs.java b/src/main/java/org/mobilitydb/spark/temporal/SpanUDFs.java
new file mode 100644
index 00000000..eff6c122
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/temporal/SpanUDFs.java
@@ -0,0 +1,114 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.temporal;
+
+import functions.functions;
+import jnr.ffi.Pointer;
+import org.apache.spark.sql.api.java.UDF1;
+import org.apache.spark.sql.types.DataTypes;
+
+import java.util.HexFormat;
+
+/**
+ * Spark SQL UDFs for span and spanset TemporalParquet readers.
+ *
+ * Each xFromBinary UDF converts a Parquet BYTE_ARRAY column (written by
+ * MobilityDuck's asBinary()) to the internal hex-WKB string used throughout
+ * MobilitySpark.
+ *
+ * Implementation uses the type-agnostic span_from_hexwkb / spanset_from_hexwkb
+ * MEOS functions — the WKB type-code embedded in the byte stream identifies the
+ * concrete span type. Type-specific names exist for SQL discoverability and to
+ * match the MobilityDuck surface (tstzspanFromBinary, intspanFromBinary, ...).
+ *
+ * Write-back (span → Parquet BINARY) uses the existing TemporalUDFs.asBinary,
+ * which hex-decodes any hex-WKB string regardless of the underlying MEOS type.
+ *
+ * MEOS function authority: meos/include/meos.h
+ */
+public final class SpanUDFs {
+
+ private SpanUDFs() {}
+
+ // ------------------------------------------------------------------
+ // Span fromBinary helpers
+ //
+ // MEOS: span_from_hexwkb(const char *) → Span *
+ // span_as_hexwkb(const Span *, uint8_t variant) → char *
+ // ------------------------------------------------------------------
+ private static String spanFromBinaryImpl(byte[] bytes) throws Exception {
+ if (bytes == null) return null;
+ String hex = HexFormat.of().formatHex(bytes).toUpperCase();
+ Pointer ptr = functions.span_from_hexwkb(hex);
+ if (ptr == null) return null;
+ return functions.span_as_hexwkb(ptr, (byte) 0);
+ }
+
+ // ------------------------------------------------------------------
+ // Spanset fromBinary helpers
+ //
+ // MEOS: spanset_from_hexwkb(const char *) → SpanSet *
+ // spanset_as_hexwkb(const SpanSet *, uint8_t variant) → char *
+ // ------------------------------------------------------------------
+ private static String spansetFromBinaryImpl(byte[] bytes) throws Exception {
+ if (bytes == null) return null;
+ String hex = HexFormat.of().formatHex(bytes).toUpperCase();
+ Pointer ptr = functions.spanset_from_hexwkb(hex);
+ if (ptr == null) return null;
+ return functions.spanset_as_hexwkb(ptr, (byte) 0);
+ }
+
+ // ------------------------------------------------------------------
+ // Span fromBinary UDFs
+ // ------------------------------------------------------------------
+ public static final UDF1 tstzspanFromBinary = SpanUDFs::spanFromBinaryImpl;
+ public static final UDF1 intspanFromBinary = SpanUDFs::spanFromBinaryImpl;
+ public static final UDF1 floatspanFromBinary = SpanUDFs::spanFromBinaryImpl;
+ public static final UDF1 bigintspanFromBinary= SpanUDFs::spanFromBinaryImpl;
+ public static final UDF1 datespanFromBinary = SpanUDFs::spanFromBinaryImpl;
+
+ // ------------------------------------------------------------------
+ // Spanset fromBinary UDFs
+ // ------------------------------------------------------------------
+ public static final UDF1 tstzspansetFromBinary = SpanUDFs::spansetFromBinaryImpl;
+ public static final UDF1 intspansetFromBinary = SpanUDFs::spansetFromBinaryImpl;
+ public static final UDF1 floatspansetFromBinary = SpanUDFs::spansetFromBinaryImpl;
+ public static final UDF1 bigintspansetFromBinary= SpanUDFs::spansetFromBinaryImpl;
+ public static final UDF1 datespansetFromBinary = SpanUDFs::spansetFromBinaryImpl;
+
+ public static void registerAll(org.apache.spark.sql.SparkSession spark) {
+ spark.udf().register("tstzspanFromBinary", tstzspanFromBinary, DataTypes.StringType);
+ spark.udf().register("intspanFromBinary", intspanFromBinary, DataTypes.StringType);
+ spark.udf().register("floatspanFromBinary", floatspanFromBinary, DataTypes.StringType);
+ spark.udf().register("bigintspanFromBinary", bigintspanFromBinary, DataTypes.StringType);
+ spark.udf().register("datespanFromBinary", datespanFromBinary, DataTypes.StringType);
+ spark.udf().register("tstzspansetFromBinary", tstzspansetFromBinary, DataTypes.StringType);
+ spark.udf().register("intspansetFromBinary", intspansetFromBinary, DataTypes.StringType);
+ spark.udf().register("floatspansetFromBinary", floatspansetFromBinary, DataTypes.StringType);
+ spark.udf().register("bigintspansetFromBinary",bigintspansetFromBinary,DataTypes.StringType);
+ spark.udf().register("datespansetFromBinary", datespansetFromBinary, DataTypes.StringType);
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/temporal/TemporalUDFs.java b/src/main/java/org/mobilitydb/spark/temporal/TemporalUDFs.java
new file mode 100644
index 00000000..e27f6a19
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/temporal/TemporalUDFs.java
@@ -0,0 +1,267 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.temporal;
+
+import functions.functions;
+import jnr.ffi.Pointer;
+import org.apache.spark.sql.api.java.UDF1;
+import org.apache.spark.sql.api.java.UDF2;
+import org.apache.spark.sql.types.DataTypes;
+
+import java.sql.Timestamp;
+import java.util.HexFormat;
+
+/**
+ * Spark SQL UDFs for generic temporal operations (type-agnostic).
+ *
+ * Storage convention: temporal values are hex-WKB strings produced by
+ * temporal_as_hexwkb(ptr, (byte) 0) and parsed back with
+ * temporal_from_hexwkb(hex).
+ *
+ * Epoch note: MEOS uses PostgreSQL epoch (µs since 2000-01-01); Spark uses
+ * UNIX epoch (ms since 1970-01-01). Conversion is done via pg_timestamptz_in()
+ * which stores the raw PG-epoch value in the OffsetDateTime's seconds field.
+ * Never call toEpochSecond() on a java.sql.Timestamp and pass it directly.
+ *
+ * MEOS function authority: meos/include/meos.h
+ * JMEOS PR: github.com/MobilityDB/JMEOS/pull/9
+ */
+public final class TemporalUDFs {
+
+ private TemporalUDFs() {}
+
+ // PG epoch is 2000-01-01; Unix epoch is 1970-01-01. Difference = 946684800 s.
+ // JMEOS stores PG-epoch µs in the OffsetDateTime's epoch-seconds field.
+ private static final long PG_UNIX_EPOCH_OFFSET_MS = 946684800L * 1000L;
+
+ /** Convert a JMEOS OffsetDateTime (PG-epoch µs in epoch-seconds field) to Spark Timestamp. */
+ static Timestamp fromJmeosTimestamp(java.time.OffsetDateTime odt) {
+ // odt.toEpochSecond() holds the raw PG-epoch µs (not real seconds).
+ long unixEpochMillis = odt.toEpochSecond() / 1000L + PG_UNIX_EPOCH_OFFSET_MS;
+ return new Timestamp(unixEpochMillis);
+ }
+
+ // ------------------------------------------------------------------
+ // atTime(trip STRING, timeArg STRING) → STRING
+ //
+ // Portable: timeArg is either a tstzspan literal "[t1,t2]"/"(t1,t2]"/...
+ // (for Q7-style period restriction) or a timestamptz string "YYYY-MM-DD HH:MM:SS"
+ // (Spark implicitly casts a TIMESTAMP column to STRING for Q3-style instant
+ // restriction). Dispatch is based on the first character of timeArg.
+ //
+ // MEOS: tstzspan_in + temporal_at_tstzspan (span case)
+ // pg_timestamptz_in + temporal_at_timestamptz (instant case)
+ // ------------------------------------------------------------------
+ public static final UDF2 atTime =
+ (trip, timeArg) -> {
+ if (trip == null || timeArg == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ if (tptr == null) return null;
+ String s = timeArg.trim();
+ Pointer result;
+ if (!s.isEmpty() && (s.charAt(0) == '[' || s.charAt(0) == '(')) {
+ Pointer spanPtr = functions.tstzspan_in(s);
+ if (spanPtr == null) return null;
+ result = functions.temporal_at_tstzspan(tptr, spanPtr);
+ } else {
+ java.time.OffsetDateTime odt = functions.pg_timestamptz_in(s, -1);
+ if (odt == null) return null;
+ result = functions.temporal_at_timestamptz(tptr, odt);
+ }
+ if (result == null) return null;
+ return functions.temporal_as_hexwkb(result, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // startTimestamp(trip STRING) → TIMESTAMP
+ //
+ // MEOS: temporal_start_timestamptz(const Temporal *) → TimestampTz
+ // ------------------------------------------------------------------
+ public static final UDF1 startTimestamp =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ return fromJmeosTimestamp(functions.temporal_start_timestamptz(ptr));
+ };
+
+ // ------------------------------------------------------------------
+ // endTimestamp(trip STRING) → TIMESTAMP
+ //
+ // MEOS: temporal_end_timestamptz(const Temporal *) → TimestampTz
+ // ------------------------------------------------------------------
+ public static final UDF1 endTimestamp =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ return fromJmeosTimestamp(functions.temporal_end_timestamptz(ptr));
+ };
+
+ // ------------------------------------------------------------------
+ // numInstants(trip STRING) → INT
+ //
+ // MEOS: temporal_num_instants(const Temporal *) → int
+ // ------------------------------------------------------------------
+ public static final UDF1 numInstants =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ return functions.temporal_num_instants(ptr);
+ };
+
+ // ------------------------------------------------------------------
+ // speed(trip STRING) → STRING (hex-WKB of tfloat)
+ //
+ // Returns the instantaneous speed of a tgeompoint as a tfloat hex-WKB
+ // string. The result can be passed to asHexWKB() for binary serialization.
+ //
+ // MEOS: tpoint_speed(const Temporal *) → Temporal * (tfloat)
+ // ------------------------------------------------------------------
+ public static final UDF1 speed =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ Pointer result = functions.tpoint_speed(ptr);
+ if (result == null) return null;
+ return functions.temporal_as_hexwkb(result, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // atGeometry(trip STRING, geomWKT STRING) → STRING
+ //
+ // Restricts a tgeompoint to the instants when it was inside the given
+ // geometry (WKT string with SRID 0).
+ //
+ // MEOS: geo_from_text(const char *, int32_t) → GSERIALIZED *
+ // tgeo_at_geom(const Temporal *, const GSERIALIZED *) → Temporal *
+ // ------------------------------------------------------------------
+ public static final UDF2 atGeometry =
+ (trip, geomWkt) -> {
+ if (trip == null || geomWkt == null) return null;
+ Pointer tptr = functions.temporal_from_hexwkb(trip);
+ Pointer gptr = functions.geo_from_text(geomWkt, 0);
+ if (tptr == null || gptr == null) return null;
+ Pointer result = functions.tgeo_at_geom(tptr, gptr);
+ if (result == null) return null;
+ return functions.temporal_as_hexwkb(result, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // asHexWKB(trip STRING) → STRING
+ //
+ // Serializes a temporal value to the canonical MEOS hex-WKB string
+ // (little-endian, variant 0, no SRID flag) — the RFC #861 portable
+ // binary return format, byte-for-byte identical across MobilityDB,
+ // MobilityDuck, and MobilitySpark.
+ //
+ // MEOS: temporal_as_hexwkb(const Temporal *, uint8_t variant) → char *
+ // ------------------------------------------------------------------
+ public static final UDF1 asHexWKB =
+ (trip) -> {
+ if (trip == null) return null;
+ Pointer ptr = functions.temporal_from_hexwkb(trip);
+ if (ptr == null) return null;
+ return functions.temporal_as_hexwkb(ptr, (byte) 0);
+ };
+
+ // ------------------------------------------------------------------
+ // TemporalParquet readers: xFromBinary(BINARY) → STRING
+ //
+ // Each converts a Parquet BYTE_ARRAY column (written by MobilityDuck's
+ // asBinary()) to the internal hex-WKB string used throughout MobilitySpark.
+ //
+ // Implementation is type-agnostic: temporal_from_hexwkb handles all
+ // MEOS temporal types uniformly via the WKB type-code embedded in the
+ // byte stream. The type-specific names exist for SQL discoverability
+ // and to match MobilityDuck's tgeompointFromBinary / tintFromBinary /
+ // tfloatFromBinary / tboolFromBinary / ttextFromBinary surface.
+ //
+ // MEOS: temporal_from_hexwkb(const char *) → Temporal *
+ // temporal_as_hexwkb(const Temporal *, uint8_t variant) → char *
+ // ------------------------------------------------------------------
+ private static String fromBinaryImpl(byte[] bytes) throws Exception {
+ if (bytes == null) return null;
+ String hex = HexFormat.of().formatHex(bytes).toUpperCase();
+ Pointer ptr = functions.temporal_from_hexwkb(hex);
+ if (ptr == null) return null;
+ return functions.temporal_as_hexwkb(ptr, (byte) 0);
+ }
+
+ public static final UDF1 tgeompointFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ public static final UDF1 tgeogpointFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ public static final UDF1 tintFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ public static final UDF1 tfloatFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ public static final UDF1 tboolFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ public static final UDF1 ttextFromBinary =
+ (bytes) -> fromBinaryImpl(bytes);
+
+ // ------------------------------------------------------------------
+ // asBinary(trip STRING) → BINARY
+ //
+ // Converts an internal hex-WKB string back to raw bytes for writing to
+ // a Parquet BYTE_ARRAY column — the inverse of xFromBinary(). No MEOS
+ // call is needed: the internal format is already hex-encoded MEOS-WKB,
+ // so hex-decoding is sufficient.
+ //
+ // Use this to write any temporal type (tgeompoint, tint, tfloat, …)
+ // back to Parquet after processing in Spark SQL.
+ // ------------------------------------------------------------------
+ public static final UDF1 asBinary =
+ (hexWkb) -> {
+ if (hexWkb == null) return null;
+ return HexFormat.of().parseHex(hexWkb.toLowerCase());
+ };
+
+ public static void registerAll(org.apache.spark.sql.SparkSession spark) {
+ spark.udf().register("atTime", atTime, DataTypes.StringType);
+ spark.udf().register("startTimestamp", startTimestamp, DataTypes.TimestampType);
+ spark.udf().register("endTimestamp", endTimestamp, DataTypes.TimestampType);
+ spark.udf().register("numInstants", numInstants, DataTypes.IntegerType);
+ spark.udf().register("speed", speed, DataTypes.StringType);
+ spark.udf().register("atGeometry", atGeometry, DataTypes.StringType);
+ spark.udf().register("asHexWKB", asHexWKB, DataTypes.StringType);
+ spark.udf().register("tgeompointFromBinary", tgeompointFromBinary, DataTypes.StringType);
+ spark.udf().register("tgeogpointFromBinary", tgeogpointFromBinary, DataTypes.StringType);
+ spark.udf().register("tintFromBinary", tintFromBinary, DataTypes.StringType);
+ spark.udf().register("tfloatFromBinary", tfloatFromBinary, DataTypes.StringType);
+ spark.udf().register("tboolFromBinary", tboolFromBinary, DataTypes.StringType);
+ spark.udf().register("ttextFromBinary", ttextFromBinary, DataTypes.StringType);
+ spark.udf().register("asBinary", asBinary, DataTypes.BinaryType);
+ }
+}
diff --git a/src/main/java/org/mobilitydb/spark/udfs/TemporalUDFs.java b/src/main/java/org/mobilitydb/spark/udfs/TemporalUDFs.java
new file mode 100644
index 00000000..9daa7af3
--- /dev/null
+++ b/src/main/java/org/mobilitydb/spark/udfs/TemporalUDFs.java
@@ -0,0 +1,46 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
+package org.mobilitydb.spark.udfs;
+
+import org.apache.spark.sql.SparkSession;
+import org.mobilitydb.spark.geo.GeoUDFs;
+
+/**
+ * Convenience facade — registers all MobilitySpark UDFs in one call.
+ *
+ * Prefer {@link org.mobilitydb.spark.MobilitySparkSession#create(SparkSession)}
+ * which also initialises MEOS. Use this class only when MEOS is already
+ * initialised by another mechanism.
+ */
+public final class TemporalUDFs {
+
+ private TemporalUDFs() {}
+
+ public static void registerAll(SparkSession spark) {
+ org.mobilitydb.spark.temporal.TemporalUDFs.registerAll(spark);
+ GeoUDFs.registerAll(spark);
+ }
+}
diff --git a/src/main/java/org/mobiltydb/Example.java b/src/main/java/org/mobiltydb/Example.java
new file mode 100644
index 00000000..3168f211
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Example.java
@@ -0,0 +1,6 @@
+package org.mobiltydb;
+
+public class Example {
+
+
+}
diff --git a/src/main/java/org/mobiltydb/Examples/AISDatasetExample.java b/src/main/java/org/mobiltydb/Examples/AISDatasetExample.java
new file mode 100644
index 00000000..925a2347
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Examples/AISDatasetExample.java
@@ -0,0 +1,63 @@
+package org.mobiltydb.Examples;
+
+import org.apache.spark.sql.*;
+import utils.UDFRegistrator;
+import utils.UDTRegistrator;
+
+
+import static jmeos.functions.functions.meos_finalize;
+import static jmeos.functions.functions.meos_initialize;
+import static org.apache.spark.sql.functions.callUDF;
+import static org.apache.spark.sql.functions.col;
+
+public class AISDatasetExample {
+ private static String CSV_PATH = "src/main/java/org/mobiltydb/Examples/Data/aisinput.csv";
+
+ public static void main(String[] args) {
+ meos_initialize("UTC+2");
+
+ SparkSession spark = SparkSession.builder()
+ .appName("CSVReaderApp")
+ .master("local[*]")
+ .getOrCreate();
+
+ UDTRegistrator.registerUDTs(spark);
+ UDFRegistrator.registerUDFs(spark);
+
+ // Read CSV file
+ Dataset ais = spark.read()
+ .option("header", "true")
+ .option("inferSchema", "true")
+ .csv(CSV_PATH);
+ ais.show();
+
+ // Read AIS Dataset
+ ais = ais.withColumn("point", callUDF("tGeogPointIn", col("latitude"), col("longitude"), col("t")))
+ .withColumn("sog", callUDF("tFloatIn", col("sog"), col("t")));
+ ais = ais.drop("latitude", "longitude");
+ ais.show();
+
+ // Assemble AIS Dataset
+ Dataset trajectories = ais.groupBy("mmsi")
+ .agg(callUDF("tGeogPointSeqIn", functions.collect_list(col("point"))).as("trajectory"),
+ callUDF("tFloatSeqIn", functions.collect_list(col("sog"))).as("sog"));
+ trajectories.show();
+
+ // TODO: Inspect why the number of points is not reduced for SparkMeos implementation.
+ Dataset originalCounts = ais.groupBy("mmsi")
+ .count()
+ .withColumnRenamed("count", "original #points");
+
+ Dataset instantsCounts = trajectories
+ .withColumn("SparkMEOS #points", callUDF("tGeogPointSeqNumInstant", trajectories.col("trajectory")));
+
+ Dataset startTimeStamp = trajectories
+ .withColumn("Start Timestamp", callUDF("tGeogPointSeqStartTimestamp", trajectories.col("trajectory")));
+
+ originalCounts.join(instantsCounts, "mmsi").join(startTimeStamp, "mmsi").
+ select("mmsi", "SparkMEOS #points", "original #points", "Start Timestamp").show();
+
+ spark.stop();
+ meos_finalize();
+ }
+}
diff --git a/src/main/java/org/mobiltydb/Examples/Data/aisinput.csv b/src/main/java/org/mobiltydb/Examples/Data/aisinput.csv
new file mode 100644
index 00000000..cc96b602
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Examples/Data/aisinput.csv
@@ -0,0 +1,156838 @@
+t,mmsi,latitude,longitude,sog
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diff --git a/src/main/java/org/mobiltydb/Examples/PeriodExample.java b/src/main/java/org/mobiltydb/Examples/PeriodExample.java
new file mode 100644
index 00000000..7d5b47d8
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Examples/PeriodExample.java
@@ -0,0 +1,130 @@
+package org.mobiltydb.Examples;
+import org.apache.spark.sql.*;
+import org.apache.spark.sql.types.*;
+import org.mobiltydb.UDF.Period.PeriodUDFRegistrator;
+import org.mobiltydb.UDT.PeriodUDT;
+
+import java.sql.SQLException;
+import java.time.OffsetDateTime;
+import java.util.Arrays;
+import java.util.List;
+
+import jmeos.types.time.Period;
+import utils.UDTRegistrator;
+
+import static jmeos.functions.functions.meos_initialize;
+import static jmeos.functions.functions.meos_finalize;
+import static org.apache.spark.sql.functions.*;
+
+
+/**
+ * This example implements simple use cases utilizing the PeriodUDT Spark version of the Period class.
+ * This is only an example of usage but is not a proper test.
+**/
+public class PeriodExample {
+ public static void main(String[] args) throws SQLException, AnalysisException {
+ meos_initialize("UTC");
+
+ SparkSession spark = SparkSession
+ .builder()
+ .appName("Java Spark SQL basic example")
+ .config("spark.master", "local")
+ .getOrCreate();
+
+ UDTRegistrator.registerUDTs(spark);
+ //UDFRegistrator.registerUDFs(spark);
+ PeriodUDFRegistrator.registerAllUDFs(spark);
+ // Create some example Period objects
+ OffsetDateTime now = OffsetDateTime.now();
+ Period period1 = new Period(now, now.plusHours(1));
+ Period period2 = new Period(now.plusHours(1), now.plusHours(3));
+ Period period3 = new Period(now.plusHours(2), now.plusHours(3));
+
+ List data = Arrays.asList(
+ RowFactory.create(period1),
+ RowFactory.create(period2),
+ RowFactory.create(period3)
+ );
+
+ StructType schema = new StructType()
+ .add("period", new PeriodUDT());
+
+ // Create a DataFrame with a single column of Periods
+ Dataset df = spark.createDataFrame(data, schema);
+
+ // Register the DataFrame as a temporary view
+ df.createOrReplaceTempView("Periods");
+
+ // Use Spark SQL to query the view
+ Dataset result = spark.sql("SELECT * FROM Periods");
+
+
+ System.out.println("Example 1: Show all Periods.");
+ df.printSchema();
+ // Show the result
+ result.show(false);
+
+ // This will throw error because the attributes of period are not exposed to the DataFrame schema!!!
+// Dataset result2 = df
+// .withColumn("startDate", col("period.lower"))
+// .withColumn("endDate", col("period.upper"))
+// .withColumn("lowerInclusive", col("period.lowerInclusive"))
+// .withColumn("upperInclusive", col("period.upperInclusive"));
+
+ System.out.println("Example 2: Parse a string to period and show the table.");
+ spark.sql("SELECT stringToPeriod('[2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02)') as period")
+ .show(false);
+
+ Period hex = Period.from_hexwkb("012100000040021FFE3402000000B15A26350200");
+ System.out.println(hex.toString());
+ System.out.println(hex.getValue());
+
+ Period p2 = new Period("[2019-09-08 00:00:01Z, 2023-08-07 13:10:49Z)");
+ System.out.println(p2.toString());
+ System.out.println(p2.getValue());
+
+ System.out.println("Example 3: Parse a hexwkb string to period and show the table.");
+ //spark.sql("SELECT periodFromHexwkb('012100000040021FFE3402000000B15A26350200') as period")
+ // .show(false);
+
+ System.out.println("Example 4: Add a column displaying the width of the period.");
+ df.withColumn("width", expr("periodWidth(period)"));
+ //Same but using callUDF method
+ df.withColumn("width", call_udf("periodWidth", col("period"))).show();
+
+ System.out.println("Example 5: Select the result of expanding two periods: [2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02) and (2019-09-08 02:00:00+02, 2019-09-10 02:00:00+02)");
+ spark.sql("SELECT periodExpand(stringToPeriod('[2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02)'), " +
+ "stringToPeriod('[2019-09-08 02:00:01+02, 2019-09-10 02:00:01+02)')) as period").show(false);
+
+ Period period4 = new Period("[2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02)");
+ Period period5 = new Period("[2023-08-06 14:10:49+02, 2023-08-08 15:10:49+02)");
+ Period period6 = new Period("[2023-08-08 14:10:49+02, 2023-08-09 15:10:49+02)");
+
+ List data2 = Arrays.asList(
+ RowFactory.create(period4),
+ RowFactory.create(period5),
+ RowFactory.create(period6)
+ );
+
+ Dataset df2 = spark.createDataFrame(data2, schema);
+
+ df2 = df2
+ .withColumn(
+ "otherPeriod",
+ expr("stringToPeriod('[2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02)')"))
+ .withColumn(
+ "overlaps",
+ expr("periodOverlapsPeriod(period, otherPeriod)"));
+ //.withColumn("as_period_set", expr("periodToPeriodSet(period)"))
+
+ System.out.println("Example 6: Create a dataframe with three new periods on the first column, " +
+ "a second column with the period [2023-08-07 14:10:49+02, 2023-08-07 15:10:49+02) " +
+ "and a third column indicating if they overlap.");
+ df2.show(false);
+ df2.printSchema();
+
+
+
+ meos_finalize();
+ }
+}
diff --git a/src/main/java/org/mobiltydb/Examples/PeriodSetExample.java b/src/main/java/org/mobiltydb/Examples/PeriodSetExample.java
new file mode 100644
index 00000000..002889aa
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Examples/PeriodSetExample.java
@@ -0,0 +1,77 @@
+package org.mobiltydb.Examples;
+
+import jmeos.types.time.Period;
+import jmeos.types.time.PeriodSet;
+import org.apache.spark.sql.*;
+import org.apache.spark.sql.types.StructType;
+import org.apache.spark.sql.types.UDTRegistration;
+import org.mobiltydb.UDT.PeriodSetUDT;
+import org.mobiltydb.UDT.PeriodUDT;
+
+import utils.PeriodSetUDFRegistrator;
+import utils.UDTRegistrator;
+
+import java.sql.SQLException;
+import java.time.OffsetDateTime;
+import java.util.List;
+
+import static jmeos.functions.functions.meos_finalize;
+import static jmeos.functions.functions.meos_initialize;
+import static org.apache.spark.sql.functions.*;
+import static org.apache.spark.sql.functions.expr;
+
+public class PeriodSetExample {
+ public static void main(String[] args) throws SQLException, AnalysisException {
+ meos_initialize("UTC");
+
+ SparkSession spark = SparkSession
+ .builder()
+ .appName("Java Spark SQL basic example")
+ .config("spark.master", "local")
+ .getOrCreate();
+
+ UDTRegistrator.registerUDTs(spark);
+
+ PeriodSetUDFRegistrator.registerUDFs(spark);
+
+ // Create Period and PeriodSet objects
+ OffsetDateTime now = OffsetDateTime.now();
+ Period period1 = new Period("[2021-04-08 05:04:45+01, 2021-04-08 06:04:45+01]");
+ Period period2 = new Period("[2021-04-08 07:04:45+01, 2021-04-08 08:04:45+01]");
+ Period period3 = new Period("[2021-04-08 09:04:45+01, 2021-04-08 10:04:45+01]");;
+
+ PeriodSet periodSet = new PeriodSet(period1, period2, period3);
+
+ List data = List.of(
+ RowFactory.create(periodSet)
+ );
+
+ StructType schema = new StructType()
+ .add("periodSet", new PeriodSetUDT());
+
+ // Create a DataFrame with a single column of Periods
+ Dataset df = spark.createDataFrame(data, schema);
+
+ // Register the DataFrame as a temporary view
+ df.createOrReplaceTempView("PeriodSets");
+
+ // Use Spark SQL to query the view
+ Dataset result = spark.sql("SELECT * FROM PeriodSets");
+
+ // Show the result
+ result.show(false);
+
+ df.printSchema();
+
+ Dataset resultUdf = spark.sql("SELECT periodset_in('{[2021-04-08 05:04:45+01, 2021-04-08 06:04:45+01], [2021-04-08 07:04:45+01, 2021-04-08 08:04:45+01], [2021-04-08 09:04:45+01, 2021-04-08 10:04:45+01]}') as value");
+ resultUdf.show(false);
+
+ // Convert row into PeriodSet class
+ Row periodSetValue = resultUdf.collectAsList().get(0);
+ PeriodSet periodSet1 = (PeriodSet) periodSetValue.get(0);
+
+ meos_finalize();
+ spark.stop();
+
+ }
+}
diff --git a/src/main/java/org/mobiltydb/Examples/TimestampSetExample.java b/src/main/java/org/mobiltydb/Examples/TimestampSetExample.java
new file mode 100644
index 00000000..b184dc2b
--- /dev/null
+++ b/src/main/java/org/mobiltydb/Examples/TimestampSetExample.java
@@ -0,0 +1,64 @@
+package org.mobiltydb.Examples;
+
+import org.apache.spark.sql.*;
+import org.apache.spark.sql.types.*;
+
+import org.mobiltydb.UDT.TimestampSetUDT;
+import org.mobiltydb.UDT.OffsetDateTimeUDT;
+
+import jmeos.types.time.TimestampSet;
+import utils.UDTRegistrator;
+
+import java.sql.SQLException;
+import java.time.OffsetDateTime;
+import java.util.Arrays;
+import java.util.List;
+
+import static jmeos.functions.functions.meos_initialize;
+import static jmeos.functions.functions.meos_finalize;
+import static org.apache.spark.sql.functions.*;
+
+public class TimestampSetExample {
+
+ public static void main(String[] args) throws SQLException {
+ meos_initialize("UTC");
+
+ SparkSession spark = SparkSession
+ .builder()
+ .appName("Java Spark SQL TimestampSet example")
+ .config("spark.master", "local")
+ .getOrCreate();
+
+ UDTRegistrator.registerUDTs(spark); // Assuming this function registers TimestampSetUDT
+
+ // Create some example OffsetDateTime objects
+ OffsetDateTime now = OffsetDateTime.now();
+ OffsetDateTime time1 = now.plusHours(1);
+ OffsetDateTime time2 = now.plusHours(2);
+ OffsetDateTime time3 = now.plusHours(3);
+
+ TimestampSet tsSet1 = new TimestampSet(now, time1);
+ TimestampSet tsSet2 = new TimestampSet(time1, time2);
+ TimestampSet tsSet3 = new TimestampSet(time2, time3);
+
+ List data = Arrays.asList(
+ RowFactory.create(tsSet1),
+ RowFactory.create(tsSet2),
+ RowFactory.create(tsSet3)
+ );
+
+ StructType schema = new StructType()
+ .add("timestampSet", new TimestampSetUDT());
+
+ // Create a DataFrame with columns of OffsetDateTime and TimestampSet
+ Dataset df = spark.createDataFrame(data, schema);
+
+ System.out.println("Example 1: Create a dataframe with 1 column of TimestampSet data type.");
+
+ // Show the result
+ df.show(false);
+ df.printSchema();
+
+ meos_finalize();
+ }
+}
diff --git a/src/main/java/org/mobiltydb/Main.java b/src/main/java/org/mobiltydb/Main.java
index 4a080b4b..93f07803 100644
--- a/src/main/java/org/mobiltydb/Main.java
+++ b/src/main/java/org/mobiltydb/Main.java
@@ -1,3 +1,28 @@
+/*****************************************************************************
+ *
+ * This MobilityDB code is provided under The PostgreSQL License.
+ * Copyright (c) 2020-2026, Université libre de Bruxelles and MobilityDB
+ * contributors
+ *
+ * Permission to use, copy, modify, and distribute this software and its
+ * documentation for any purpose, without fee, and without a written
+ * agreement is hereby granted, provided that the above copyright notice and
+ * this paragraph and the following two paragraphs appear in all copies.
+ *
+ * IN NO EVENT SHALL UNIVERSITE LIBRE DE BRUXELLES BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING
+ * LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION,
+ * EVEN IF UNIVERSITE LIBRE DE BRUXELLES HAS BEEN ADVISED OF THE POSSIBILITY
+ * OF SUCH DAMAGE.
+ *
+ * UNIVERSITE LIBRE DE BRUXELLES SPECIFICALLY DISCLAIMS ANY WARRANTIES,
+ * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY
+ * AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON
+ * AN "AS IS" BASIS, AND UNIVERSITE LIBRE DE BRUXELLES HAS NO OBLIGATIONS TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ *
+ *****************************************************************************/
+
package org.mobiltydb;
import org.apache.spark.sql.*;
diff --git a/src/main/java/org/mobiltydb/UDF/General/PeriodSetUDF.java b/src/main/java/org/mobiltydb/UDF/General/PeriodSetUDF.java
new file mode 100644
index 00000000..8154aa31
--- /dev/null
+++ b/src/main/java/org/mobiltydb/UDF/General/PeriodSetUDF.java
@@ -0,0 +1,190 @@
+package org.mobiltydb.UDF.General;
+
+import jmeos.types.time.Period;
+import jmeos.types.time.PeriodSet;
+import org.apache.spark.sql.api.java.UDF1;
+import org.apache.spark.sql.api.java.UDF2;
+
+
+import java.sql.SQLException;
+import java.time.Duration;
+
+public class PeriodSetUDF {
+
+ /***
+ * Initialize PeriodSet from String.
+ */
+ public static UDF1 periodset_in = PeriodSet::new;
+
+ public static UDF2 union_periodset = new UDF2() {
+
+ @Override
+ public PeriodSet call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.union_PeriodSet(other);
+ }
+
+ };
+
+ public static UDF2 intersection_periodset = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.intersection_Periodset(other);
+ }
+ };
+
+
+ public static UDF2 minus_periodset = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.minus_PeriodSet(other);
+ }
+ };
+
+ public static UDF2 distance_periodset = new UDF2() {
+ @Override
+ public Float call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.distance_Periodset(other);
+ }
+ };
+
+ public static UDF2 isover_or_before_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.isover_or_before_Periodset(other);
+ }
+ };
+
+ public static UDF2 isbefore_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.isbefore_Periodset(other);
+ }
+ };
+
+
+ public static UDF2 isafter_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.isafter_Periodset(other);
+ }
+ };
+
+ public static UDF2 overlaps_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.overlaps_Periodset(other);
+ }
+ };
+
+ public static UDF2 contains_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.contains_Periodset(other);
+ }
+ };
+
+ public static UDF2 is_contained_periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.is_contained_Periodset(other);
+ }
+ };
+
+ public static UDF2 is_adjacent_Periodset = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, PeriodSet other) {
+ return periodSet.is_adjacent_Periodset(other);
+ }
+ };
+
+ public static UDF2 union_period = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, Period other) {
+ return periodSet.union_Period(other);
+ }
+ };
+
+ public static UDF2 minus_period = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, Period other) {
+ return periodSet.minus_Period(other);
+ }
+ };
+
+ public static UDF2 intersection_period = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, Period other) throws SQLException {
+ return periodSet.intersection_Period(other);
+ }
+ };
+
+ public static UDF2 distance_period = new UDF2() {
+ @Override
+ public Float call(PeriodSet periodSet, Period other) {
+ return periodSet.distance_Period(other);
+ }
+ };
+
+ public static UDF2 isover_or_before_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.isover_or_before_Period(other);
+ }
+ };
+
+ public static UDF2 isover_or_after_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.isover_or_after_Period(other);
+ }
+ };
+
+ public static UDF2 isbefore_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.isbefore_Period(other);
+ }
+ };
+
+ public static UDF2 isafter_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.isafter_Period(other);
+ }
+ };
+
+ public static UDF2 overlaps_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.overlaps_Period(other);
+ }
+ };
+
+ public static UDF2 contains_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.contains_Period(other);
+ }
+ };
+
+ public static UDF2 is_contained_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.is_contained_Period(other);
+ }
+ };
+
+ public static UDF2 is_adjacent_period = new UDF2() {
+ @Override
+ public Boolean call(PeriodSet periodSet, Period other) {
+ return periodSet.is_adjacent_Period(other);
+ }
+ };
+
+ public static UDF2 shift = new UDF2() {
+ @Override
+ public PeriodSet call(PeriodSet periodSet, Duration duration) throws Exception {
+ return periodSet.shift(duration);
+ }
+ };
+}
diff --git a/src/main/java/org/mobiltydb/UDF/General/TGeomPointInstUDF.java b/src/main/java/org/mobiltydb/UDF/General/TGeomPointInstUDF.java
new file mode 100644
index 00000000..85d29143
--- /dev/null
+++ b/src/main/java/org/mobiltydb/UDF/General/TGeomPointInstUDF.java
@@ -0,0 +1,18 @@
+package org.mobiltydb.UDF.General;
+
+import jmeos.types.basic.tpoint.tgeom.TGeomPointInst;
+import org.apache.spark.sql.api.java.UDF3;
+
+import java.sql.SQLException;
+
+public class TGeomPointInstUDF implements UDF3 {
+
+ @Override
+ public String call(Double latitude, Double longitude, String timestamp) throws SQLException {
+ String str_pointbuffer;
+ str_pointbuffer = String.format("SRID=4326;Point(%f %f)@%s+00", longitude, latitude, timestamp);
+ str_pointbuffer = str_pointbuffer.replaceAll(",", ".");
+
+ return new TGeomPointInst(str_pointbuffer).toString();
+ }
+}
\ No newline at end of file
diff --git a/src/main/java/org/mobiltydb/UDF/Period/FromHexwkbUDF.java b/src/main/java/org/mobiltydb/UDF/Period/FromHexwkbUDF.java
new file mode 100644
index 00000000..4d84a468
--- /dev/null
+++ b/src/main/java/org/mobiltydb/UDF/Period/FromHexwkbUDF.java
@@ -0,0 +1,11 @@
+package org.mobiltydb.UDF.Period;
+
+import jmeos.types.time.Period;
+import org.apache.spark.sql.api.java.UDF1;
+
+public class FromHexwkbUDF implements UDF1 {
+ @Override
+ public Period call(String periodString) throws Exception{
+ return Period.from_hexwkb(periodString);
+ }
+}
diff --git a/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFRegistrator.java b/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFRegistrator.java
new file mode 100644
index 00000000..98a2170a
--- /dev/null
+++ b/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFRegistrator.java
@@ -0,0 +1,56 @@
+package org.mobiltydb.UDF.Period;
+
+import jmeos.types.time.PeriodSet;
+import org.apache.spark.sql.SparkSession;
+import org.apache.spark.sql.types.DataTypes;
+import org.mobiltydb.UDF.General.PeriodSetUDF;
+import org.mobiltydb.UDT.PeriodSetUDT;
+import org.mobiltydb.UDT.PeriodUDT;
+
+
+public class PeriodUDFRegistrator {
+ /**
+ * Registers the UDFs for the Period class to enable usage within SparkSQL.
+ * @param spark: SparkSession
+ */
+ public static void registerAllUDFs(SparkSession spark) {
+ // Register each UDF using spark.udf().register()
+ spark.udf().register("stringToPeriod", PeriodUDFs.stringToPeriod, new PeriodUDT());
+ spark.udf().register("periodFromHexwkb", PeriodUDFs.fromHexwkbUDF, new PeriodUDT());
+ spark.udf().register("periodWidth", PeriodUDFs.width, DataTypes.FloatType);
+ spark.udf().register("periodExpand", PeriodUDFs.expand, new PeriodUDT());
+ spark.udf().register("periodToPeriodSet", PeriodUDFs.toPeriodSet, new PeriodSetUDT());
+ spark.udf().register("periodIsAdjacentPeriod", PeriodUDFs.isAdjacentPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodIsAdjacentPeriodSet", PeriodUDFs.isAdjacentPeriodSet, DataTypes.BooleanType);
+ spark.udf().register("periodIsContainedInPeriod", PeriodUDFs.isContainedInPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodIsContainedInPeriodSet", PeriodUDFs.isContainedInPeriodSet, DataTypes.BooleanType);
+ spark.udf().register("periodContainsPeriod", PeriodUDFs.containsPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodContainsPeriodSet", PeriodUDFs.containsPeriodSet, DataTypes.BooleanType);
+ spark.udf().register("periodOverlapsPeriod", PeriodUDFs.overlapsPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodOverlapsPeriodSet", PeriodUDFs.overlapsPeriodSet, DataTypes.BooleanType);
+ spark.udf().register("periodOverlapsTimestampSet", PeriodUDFs.overlapsTimestampSet, DataTypes.BooleanType);
+ spark.udf().register("periodIsAfterPeriod", PeriodUDFs.isAfterPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodIsAfterPeriodSet", PeriodUDFs.isAfterPeriodSet, DataTypes.BooleanType);
+ spark.udf().register("periodIsAfterTimestampSet", PeriodUDFs.isAfterTimestampSet, DataTypes.BooleanType);
+ spark.udf().register("periodIsBeforePeriod", PeriodUDFs.isBeforePeriod, DataTypes.BooleanType);
+ spark.udf().register("periodIsOverOrAfterPeriod", PeriodUDFs.isOverOrAfterPeriod, DataTypes.BooleanType);
+ spark.udf().register("periodIsOverOrBeforePeriod", PeriodUDFs.isOverOrBeforePeriod, DataTypes.BooleanType);
+ spark.udf().register("periodDistancePeriod", PeriodUDFs.distancePeriod, DataTypes.FloatType);
+ spark.udf().register("periodIntersectionPeriod", PeriodUDFs.intersectionPeriod, new PeriodUDT());
+ spark.udf().register("periodGetValue", PeriodUDFs.getValue, DataTypes.StringType);
+ spark.udf().register("periodGetLower", PeriodUDFs.getLower, new PeriodUDT());
+ spark.udf().register("periodGetUpper", PeriodUDFs.getUpper, new PeriodUDT());
+ spark.udf().register("periodGetUpperInc", PeriodUDFs.getUpperInc, DataTypes.BooleanType);
+ spark.udf().register("periodGetLowerInc", PeriodUDFs.getLowerInc, DataTypes.BooleanType);
+ spark.udf().register("periodIsLowerInclusive", PeriodUDFs.isLowerInclusive, DataTypes.BooleanType);
+ spark.udf().register("periodIsUpperInclusive", PeriodUDFs.isUpperInclusive, DataTypes.BooleanType);
+ //spark.udf().register("getInner", PeriodUDFs.getInner, new PeriodUDT());
+ spark.udf().register("periodEquals", PeriodUDFs.periodEquals, DataTypes.BooleanType);
+ spark.udf().register("periodHashCode", PeriodUDFs.hashCode, DataTypes.IntegerType);
+ spark.udf().register("periodDuration", PeriodUDFs.duration, new PeriodUDT());
+ spark.udf().register("periodShift", PeriodUDFs.shift, new PeriodUDT());
+ spark.udf().register("periodContains", PeriodUDFs.contains, DataTypes.BooleanType);
+ spark.udf().register("periodOverlap", PeriodUDFs.overlap, DataTypes.BooleanType);
+ }
+
+}
diff --git a/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFs.java b/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFs.java
new file mode 100644
index 00000000..4ae524d2
--- /dev/null
+++ b/src/main/java/org/mobiltydb/UDF/Period/PeriodUDFs.java
@@ -0,0 +1,378 @@
+package org.mobiltydb.UDF.Period;
+
+import jmeos.types.time.Period;
+import jmeos.types.time.PeriodSet;
+import jmeos.types.time.TimestampSet;
+import jnr.ffi.Pointer;
+import org.apache.arrow.flatbuf.Bool;
+import org.apache.spark.sql.api.java.UDF0;
+import org.apache.spark.sql.api.java.UDF1;
+import org.apache.spark.sql.api.java.UDF2;
+
+import java.time.Duration;
+import java.time.OffsetDateTime;
+
+public class PeriodUDFs {
+ /**
+ * UDF to convert a Period to a String.
+ */
+ public static UDF1 stringToPeriod = new UDF1() {
+ @Override
+ public Period call(String s) throws Exception {
+ return new Period(s);
+ }
+ };
+
+ /**
+ * Converts a String representation of Hexwkb into Period.
+ */
+ public static UDF1 fromHexwkbUDF = new UDF1() {
+ @Override
+ public Period call(String s) throws Exception {
+ return Period.from_hexwkb(s);
+ }
+ };
+
+ /**
+ * Calculates the width of a Period.
+ */
+ public static UDF1 width = new UDF1() {
+ @Override
+ public Float call(Period period) throws Exception {
+ return period.width();
+ }
+ };
+
+ /**
+ * Given two periods, expands the first into the other.
+ */
+ public static UDF2 expand = new UDF2() {
+ @Override
+ public Period call(Period period, Period other) throws Exception {
+ return period.expand(other);
+ }
+ };
+
+ /**
+ * Converts a Period into a PeriodSet object.
+ */
+ public static UDF1 toPeriodSet = new UDF1() {
+ @Override
+ public PeriodSet call(Period period) throws Exception {
+ return period.to_periodset();
+ }
+ };
+
+ /**
+ * Determines if two periods are adjacent.
+ */
+ public static UDF2 isAdjacentPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.is_adjacent_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is adjacent to a PeriodSet
+ */
+ public static UDF2 isAdjacentPeriodSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, PeriodSet other) throws Exception {
+ return period.is_adjacent_Periodset(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is contained inside a second Period object.
+ */
+ public static UDF2 isContainedInPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.is_contained_in_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is contained inside a PeriodSet object.
+ */
+ public static UDF2 isContainedInPeriodSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, PeriodSet other) throws Exception {
+ return period.is_contained_in_Periodset(other);
+ }
+ };
+
+ /**
+ * Determines if a Period contains a second Period object.
+ */
+ public static UDF2 containsPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.contains_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period contains a PeriodSet.
+ */
+ public static UDF2 containsPeriodSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, PeriodSet other) throws Exception {
+ return period.contains_Periodset(other);
+ }
+ };
+
+ /**
+ * Determines if a first Period overlaps a second Period.
+ */
+ public static UDF2 overlapsPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.overlaps_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period overlaps a second PeriodSet.
+ */
+ public static UDF2 overlapsPeriodSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, PeriodSet other) throws Exception {
+ return period.overlaps_Periodset(other);
+ }
+ };
+
+ /**
+ * Determines if a Period overlaps a TimestampSet
+ */
+ public static UDF2 overlapsTimestampSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, TimestampSet other) throws Exception {
+ return period.overlaps_timestampset(other);
+ }
+ };
+
+ /**
+ * Determines if a first Period is after a second Period.
+ */
+ public static UDF2 isAfterPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.isafter_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a first Period is after a PeriodSet.
+ */
+ public static UDF2 isAfterPeriodSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, PeriodSet other) throws Exception {
+ return period.isafter_Periodset(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is after a TimestampSet.
+ */
+ public static UDF2 isAfterTimestampSet = new UDF2() {
+ @Override
+ public Boolean call(Period period, TimestampSet other) throws Exception {
+ return period.isafter_timestampset(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is before a second Period.
+ */
+ public static UDF2 isBeforePeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.isbefore_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is over or after a second Period.
+ */
+ public static UDF2 isOverOrAfterPeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.isover_or_after_Period(other);
+ }
+ };
+
+ /**
+ * Determines if a Period is over or before a second Period.
+ */
+ public static UDF2 isOverOrBeforePeriod = new UDF2() {
+ @Override
+ public Boolean call(Period period, Period other) throws Exception {
+ return period.isover_or_before_Period(other);
+ }
+ };
+
+ /**
+ * Determines the distance between two Periods.
+ */
+ public static UDF2 distancePeriod = new UDF2() {
+ @Override
+ public Float call(Period period, Period other) throws Exception {
+ return period.distance_Period(other);
+ }
+ };
+
+ /**
+ * Determines the intersection Period between Period A and Period B.
+ */
+ public static UDF2 intersectionPeriod = new UDF2() {
+ @Override
+ public Period call(Period period, Period other) throws Exception {
+ return period.intersection_Period(other);
+ }
+ };
+
+ /**
+ * Returns the String representation of the Period.
+ */
+ public static UDF1 getValue = new UDF1() {
+ @Override
+ public String call(Period period) throws Exception {
+ return period.getValue();
+ }
+ };
+
+
+ /**
+ * Returns the lower bound of the Period.
+ */
+ public static UDF1 getLower = new UDF1() {
+ @Override
+ public OffsetDateTime call(Period period) throws Exception {
+ return period.getLower();
+ }
+ };
+
+ /**
+ * Returns the upper bound of the Period.
+ */
+ public static UDF1 getUpper = new UDF1() {
+ @Override
+ public OffsetDateTime call(Period period) throws Exception {
+ return period.getUpper();
+ }
+ };
+
+ /**
+ * Returns True if upper bound is inclusive.
+ */
+ public static UDF1 getUpperInc = new UDF1() {
+ @Override
+ public Boolean call(Period period) throws Exception {
+ return period.getUpper_inc();
+ }
+ };
+
+ /**
+ * Returns True if lower bound is inclusive.
+ */
+ public static UDF1 getLowerInc = new UDF1() {
+ @Override
+ public Boolean call(Period period) throws Exception {
+ return period.getLower_inc();
+ }
+ };
+
+ /**
+ * Returns True if Period is lower inclusive.
+ */
+ public static UDF1 isLowerInclusive = new UDF1() {
+ @Override
+ public Boolean call(Period period) throws Exception {
+ return period.isLowerInclusive();
+ }
+ };
+
+ /**
+ * Returns True if Period is upper inclusive.
+ */
+ public static UDF1 isUpperInclusive = new UDF1() {
+ @Override
+ public Boolean call(Period period) throws Exception {
+ return period.isUpperInclusive();
+ }
+ };
+
+ /**
+ * Returns the _inner representation of the Period (a jts Pointer).
+ */
+ public UDF1 getInner = new UDF1() {
+ @Override
+ public Pointer call(Period period) throws Exception {
+ return period.get_inner();
+ }
+ };
+
+ /**
+ * Returns True if two Periods are equal.
+ */
+ public static UDF2
+
+The MobilityDB project is developed by the Computer & Decision Engineering Department of the
+[Université libre de Bruxelles](https://www.ulb.be/) (ULB) under the direction of
+[Prof. Esteban Zimányi](http://cs.ulb.ac.be/members/esteban/).
+ULB is an OGC Associate Member and member of the OGC Moving Feature Standard Working Group
+([MF-SWG](https://www.ogc.org/projects/groups/movfeatswg)).
+
+
+
+---
+
+## 1. Requirements
+
+- **Java 21** (OpenJDK or Temurin)
+- **Apache Maven 3.8+**
+- **Apache Spark 3.5** (provided at runtime; not needed to compile or run unit tests)
+- **JMEOS 1.4** — bundled in `libs/JMEOS-1.4.jar` (patched from
+ [MobilityDB/JMEOS PR #9](https://github.com/MobilityDB/JMEOS/pull/9) with
+ cross-platform native library loading)
+
+> **Platform support:**
+> - **Linux x86-64** — fully supported; `libmeos.so` is bundled in the jar.
+> - **macOS (Apple Silicon / Intel)** — supported; requires MEOS installed via
+> Homebrew (see §2.3) or built from source. CI-tested on `macos-latest`.
+> - **Windows x86-64** — CI bootstrap in progress (non-blocking); manual MEOS
+> build via MSYS2 required (see §2.4).
+
+---
+
+## 2. Building MobilitySpark
+
+### 2.1 Clone the repository
+
+```sh
+git clone https://github.com/MobilityDB/MobilitySpark.git
+cd MobilitySpark
+```
+
+### 2.2 Linux — no extra steps needed
+
+`libmeos.so` for Linux x86-64 is bundled in `libs/JMEOS-1.4.jar`. Install the
+runtime dependencies and compile:
+
+```sh
+# Ubuntu / Debian
+sudo apt-get install -y libjson-c5 libgeos-c1t64 libproj25 libgsl27
+mvn compile
+```
+
+### 2.3 macOS — install MEOS via Homebrew
+
+```sh
+# Install MEOS build dependencies
+brew install json-c geos proj gsl cmake ninja
+
+# Clone MobilityDB and build the standalone MEOS library
+git clone https://github.com/MobilityDB/MobilityDB.git
+cmake -S MobilityDB -B meos-build \
+ -DCMAKE_BUILD_TYPE=Release \
+ -DCMAKE_PREFIX_PATH="$(brew --prefix)" \
+ -DMEOS=ON -DCBUFFER=ON -DNPOINT=ON -DPOSE=OFF -DRGEO=OFF
+cmake --build meos-build -j
+sudo cmake --install meos-build # installs libmeos.dylib to /usr/local/lib/
+
+# Tell JMEOS where to find the library, then build
+export DYLD_LIBRARY_PATH=/usr/local/lib
+mvn compile
+mvn test
+```
+
+### 2.4 Windows — install MEOS via MSYS2
+
+```sh
+# In an MSYS2 UCRT64 shell
+pacman -S mingw-w64-ucrt-x86_64-{gcc,cmake,ninja,json-c,geos,proj,gsl}
+
+# Clone MobilityDB and build MEOS
+git clone https://github.com/MobilityDB/MobilityDB.git
+cmake -S MobilityDB -B meos-build -G Ninja \
+ -DCMAKE_BUILD_TYPE=Release \
+ -DMEOS=ON -DCBUFFER=ON -DNPOINT=ON -DPOSE=OFF -DRGEO=OFF
+cmake --build meos-build -j
+cmake --install meos-build --prefix "$PWD/meos-install"
+
+# Add libmeos.dll to PATH, then build with Maven (PowerShell)
+$env:PATH = "$PWD\meos-install\bin;" + $env:PATH
+mvn compile
+mvn test
+```
+
+### 2.5 Compile (all platforms)
+
+```sh
+mvn compile
+```
+
+### 2.6 Package (fat jar for `spark-submit`)
+
+```sh
+mvn package -DskipTests
+```
+
+The fat jar is written to `target/mobilityspark-0.1.0-SNAPSHOT-spark.jar`.
+
+---
+
+## 3. Using MobilitySpark
+
+### 3.1. Initialise MEOS and register UDFs
+
+```java
+SparkSession spark = SparkSession.builder().master("local[*]").getOrCreate();
+try (MobilitySparkSession ms = MobilitySparkSession.create(spark)) {
+ // All UDFs are now available in Spark SQL
+ spark.sql("SELECT atTime(trip, '2020-01-01 00:30:00+00') FROM trips").show();
+}
+```
+
+`MobilitySparkSession.create()` initialises MEOS, registers all UDFs, and loads the
+spatial reference system table for geodetic operations.
+
+### 3.2. Available UDFs
+
+All temporal values are stored as **hex-WKB strings** (portable binary format, identical
+across MobilityDB, MobilityDuck, and MobilitySpark). Geometry values use **hex-EWKB strings**.
+
+#### Temporal axis UDFs
+
+| UDF | Signature | Description |
+|-----|-----------|-------------|
+| `atTime` | `(STRING, STRING) → STRING` | Restrict to a timestamp or tstzspan literal |
+| `startTimestamp` | `(STRING) → TIMESTAMP` | First timestamp of the temporal value |
+| `endTimestamp` | `(STRING) → TIMESTAMP` | Last timestamp of the temporal value |
+| `numInstants` | `(STRING) → INT` | Number of instants |
+| `speed` | `(STRING) → STRING` | Instantaneous speed (returns tfloat hex-WKB) |
+| `atGeometry` | `(STRING, STRING) → STRING` | Restrict tgeompoint to a geometry (WKT) |
+| `asHexWKB` | `(STRING) → STRING` | Parse and re-serialise to canonical hex-WKB |
+
+#### Geo UDFs (eXistential — ever-true semantics)
+
+| UDF | Signature | Description |
+|-----|-----------|-------------|
+| `eIntersects` | `(STRING, STRING) → BOOLEAN` | Ever intersects a geometry |
+| `nearestApproachDistance` | `(STRING, STRING) → DOUBLE` | Min distance at any common instant |
+| `eDwithin` | `(STRING, STRING, DOUBLE) → BOOLEAN` | Ever within given distance |
+
+#### TemporalParquet UDFs
+
+These UDFs support reading from and writing to Parquet files whose temporal columns were
+written by MobilityDuck's `asBinary()` (Parquet `BYTE_ARRAY`).
+
+**Read (Parquet BINARY → hex-WKB string):**
+
+| UDF | Input type | Description |
+|-----|------------|-------------|
+| `tgeompointFromBinary` | `BINARY` | tgeompoint (2D/3D Cartesian) |
+| `tgeogpointFromBinary` | `BINARY` | tgeogpoint (geodetic) |
+| `tintFromBinary` | `BINARY` | tint |
+| `tfloatFromBinary` | `BINARY` | tfloat |
+| `tboolFromBinary` | `BINARY` | tbool |
+| `ttextFromBinary` | `BINARY` | ttext |
+| `tstzspanFromBinary` | `BINARY` | tstzspan |
+| `intspanFromBinary` | `BINARY` | intspan |
+| `floatspanFromBinary` | `BINARY` | floatspan |
+| `bigintspanFromBinary` | `BINARY` | bigintspan |
+| `datespanFromBinary` | `BINARY` | datespan |
+| `tstzspansetFromBinary` | `BINARY` | tstzspanset |
+| `intspansetFromBinary` | `BINARY` | intspanset |
+| `floatspansetFromBinary` | `BINARY` | floatspanset |
+| `bigintspansetFromBinary` | `BINARY` | bigintspanset |
+| `datespansetFromBinary` | `BINARY` | datespanset |
+
+**Write (hex-WKB string → Parquet BINARY):**
+
+| UDF | Signature | Description |
+|-----|-----------|-------------|
+| `asBinary` | `(STRING) → BINARY` | Any hex-WKB → raw bytes for Parquet BYTE_ARRAY |
+
+### 3.3. Portable SQL (BerlinMOD benchmark)
+
+The SQL queries in `berlinmod/` use **named functions only** — no operator symbols — so the
+same file runs unchanged on MobilityDB (PostgreSQL), MobilityDuck (DuckDB), and MobilitySpark
+(Spark SQL). This is the portability contract defined in
+[Discussion #861](https://github.com/MobilityDB/MobilityDB/discussions/861).
+
+Run all 17 BerlinMOD queries plus the round-trip test:
+
+```sh
+./berlinmod/run_mspark.sh
+```
+
+This script builds the fat jar if needed, then submits `BerlinMODDemo` against the
+pre-generated data in `berlinmod/data/` and verifies results against `berlinmod/expected/`.
+`spark-submit` must be on `PATH` (or pass its path as the first argument).
+
+### 3.4. TemporalParquet: edge-to-cloud pipeline
+
+MobilitySpark can read Parquet files produced by MobilityDuck at the edge:
+
+```sql
+-- 1. Edge (MobilityDuck): write tgeompoint trajectories to Parquet
+COPY (SELECT vesselId, asBinary(trip) AS trip FROM Trips) TO 'trips.parquet';
+
+-- 2. Cloud (MobilitySpark): read and query
+CREATE OR REPLACE TEMPORARY VIEW Trips AS
+ SELECT vesselId, tgeompointFromBinary(trip) AS trip
+ FROM parquet.`trips.parquet`;
+
+SELECT vesselId, startTimestamp(trip), endTimestamp(trip), numInstants(trip)
+FROM Trips;
+```
+
+### 3.5. Sample queries
+
+Restrict a trip to a query instant:
+```sql
+SELECT atTime(trip, '2020-01-01 00:30:00+00') AS pos FROM Trips;
+```
+
+Find vehicles that ever passed a query point:
+```sql
+SELECT DISTINCT v.licence
+FROM Vehicles v JOIN Trips t ON t.vehId = v.vehId
+JOIN QueryPoints p ON eIntersects(t.trip, p.geom);
+```
+
+Minimum nearest-approach distance between vehicle pairs:
+```sql
+SELECT MIN(nearestApproachDistance(t1.trip, t2.trip)) AS min_dist
+FROM Trips t1 JOIN Trips t2 ON t1.vehId < t2.vehId;
+```
+
+---
+
+## 4. Running the tests
+
+Unit tests run without a Spark session (each UDF is a plain Java lambda):
+
+```sh
+mvn test
+```
+
+The test suite covers 51 unit tests across three test classes:
+
+| Class | Tests | Coverage |
+|-------|-------|----------|
+| `GeoUDFsTest` | 23 | eIntersects, nearestApproachDistance, eDwithin |
+| `TemporalUDFsTest` | 17 | atTime, TemporalParquet tgeompoint/tgeogpoint/scalar round-trips |
+| `SpanUDFsTest` | 11 | TemporalParquet span/spanset round-trips |
+
+---
+
+## 5. Examples
+
+Numbered examples mirror the MEOS C examples (`meos/examples/01_hello_world.c`, etc.):
+
+| Class | Description |
+|-------|-------------|
+| `N01HelloWorld` | Round-trip a tgeompoint through hex-WKB |
+| `N03BerlinMOD` | BerlinMOD Q1–Q17 portable SQL |
+
+Run with:
+```sh
+spark-submit --class org.mobilitydb.spark.examples.N01HelloWorld \
+ target/mobilityspark-0.1.0-SNAPSHOT-spark.jar
+```
+
+---
+
+## 6. Project structure
+
+```
+src/main/java/org/mobilitydb/spark/
+ MobilitySparkSession.java — entry point: init MEOS + register all UDFs
+ temporal/
+ TemporalUDFs.java — time-axis UDFs + TemporalParquet scalar UDFs
+ SpanUDFs.java — TemporalParquet span/spanset UDFs
+ geo/
+ GeoUDFs.java — eIntersects, nearestApproachDistance, eDwithin
+ examples/
+ N01HelloWorld.java — hello-world example
+ N03BerlinMOD.java — BerlinMOD portable SQL demo
+ demo/
+ BerlinMODDemo.java — Q1–Q17 + QRT implementation
+ udfs/
+ TemporalUDFs.java — convenience facade (registerAll)
+
+src/test/java/org/mobilitydb/spark/
+ udfs/TemporalUDFsTest.java — 17 unit tests
+ udfs/SpanUDFsTest.java — 11 unit tests
+ geo/GeoUDFsTest.java — 23 unit tests
+ demo/BerlinMODIntegrationTest.java
+ examples/AISDataIntegrationTest.java
+
+berlinmod/
+ q01.sql … q17.sql, qrt.sql — portable SQL (RFC #861)
+ data/ — pre-generated BerlinMOD dataset (scale 0.005)
+ expected/ — expected query results for comparison
+ run_mspark.sh — end-to-end runner (build + spark-submit + compare)
+ run_mbdb.sh — MobilityDB runner
+ run_mduck.sh — MobilityDuck runner
+
+libs/JMEOS-1.3.jar — JMEOS 1.3 (Linux x86-64, includes libmeos.so)
+tools/scripts/ — license header checker (CI)
+```
diff --git a/berlinmod/README.md b/berlinmod/README.md
new file mode 100644
index 00000000..d0fd6a9c
--- /dev/null
+++ b/berlinmod/README.md
@@ -0,0 +1,190 @@
+# BerlinMOD Portable SQL — Cross-Platform Verification
+
+This directory contains BerlinMOD benchmark queries in the **RFC #861 portable
+dialect** — using named functions only, no MobilityDB-specific operator symbols.
+The same SQL files run unchanged on all three platforms.
+
+| Platform | Engine | Extension |
+|---|---|---|
+| [MobilityDB](https://github.com/MobilityDB/MobilityDB) | PostgreSQL | `CREATE EXTENSION mobilitydb` |
+| [MobilityDuck](https://github.com/MobilityDB/MobilityDuck) | DuckDB | `LOAD mobilitydb` (community) |
+| [MobilitySpark](https://github.com/MobilityDB/MobilitySpark) | Apache Spark | `MobilitySparkSession.create(spark)` |
+
+---
+
+## Schema
+
+All three platforms use the same schema:
+
+```
+Vehicles (vehId INT, licence TEXT, type TEXT, model TEXT)
+Trips (tripId INT, vehId INT, trip TEXT) -- tgeompoint hex-WKB
+QueryLicences (licenceId INT, licence TEXT)
+QueryInstants (instantId INT, instant TIMESTAMPTZ)
+QueryPoints (pointId INT, geom TEXT) -- geometry WKT, SRID 0
+QueryRegions (regionId INT, geom TEXT) -- polygon WKT, SRID 0
+QueryPeriods (periodId INT, period TEXT) -- tstzspan literal
+```
+
+**Storage conventions:**
+- `tgeompoint` values → hex-WKB STRING (`temporal_as_hexwkb` / `temporal_from_hexwkb`)
+- `geometry` / polygon values → WKT STRING, parsed via `geo_from_text` / `ST_GeomFromText`
+- `tstzspan` values → literal STRING `"[t1,t2]"`, cast to `tstzspan` by each platform
+
+Storing temporal/geometry values as portable text keeps the CSV files
+human-readable across all platforms without requiring platform-specific binary
+encoding.
+
+---
+
+## Queries
+
+| File | Query | Temporal operations |
+|------|-------|---------------------|
+| `q01.sql` | Vehicle models for query licences | none (baseline relational join) |
+| `q02.sql` | Licence plates of vehicles that ever entered a query region | `eIntersects(tgeompoint, geometry)` |
+| `q03.sql` | Position of query-licence vehicles at each query instant | `atTime(tgeompoint, timestamptz)` |
+| `q04.sql` | Vehicles that ever passed a query point | `eIntersects(tgeompoint, geometry)` |
+| `q05.sql` | Min nearest-approach distance between query-licence pairs | `nearestApproachDistance(tgeompoint, tgeompoint)` |
+| `q06.sql` | Truck pairs within 10 m | `eDwithin(tgeompoint, tgeompoint, float)` |
+| `q07.sql` | Trip portions of query-licence vehicles during each query period | `atTime(tgeompoint, tstzspan)` |
+| `q08.sql` | Trajectory geometry of each trip | `trajectory(tgeompoint)` |
+| `q09.sql` | Longest distance driven by any vehicle in each query period | `atTime`, `length` |
+| `q10.sql` | When did query-licence vehicles meet others (within 3 m)? | `expandSpace`, `tDwithin`, `whenTrue` |
+| `q11.sql` | Vehicles passing a query point at a query instant | `valueAtTimestamp`, `stbox` |
+| `q12.sql` | Vehicle pairs at the same query point at the same query instant | `valueAtTimestamp`, `stbox` |
+| `q13.sql` | Vehicles that travelled within a query region during a query period | `atTime`, `eIntersects`, `stbox` |
+| `q14.sql` | Vehicles inside a query region at a query instant | `valueAtTimestamp`, `ST_Contains`, `stbox` |
+| `q15.sql` | Vehicles that passed a query point during a query period | `atTime`, `eIntersects`, `stbox` |
+| `q16.sql` | Query-licence vehicle pairs in same region+period but always disjoint | `atTime`, `eIntersects`, `aDisjoint` |
+| `q17.sql` | Query points visited by the most distinct vehicles | `eIntersects` |
+| `qrt.sql` | Binary roundtrip — all trips serialised as hex-WKB | `asHexWKB(tgeompoint)` |
+
+`atTime` is polymorphic: pass a `TIMESTAMPTZ` (Q3) or a `tstzspan` literal (Q7)
+and the platform routes to the appropriate MEOS function.
+
+---
+
+## Shared dataset
+
+`data/` contains CSV files that all three platforms load:
+
+| File | Description |
+|------|-------------|
+| `data/vehicles.csv` | 5 vehicles (3 passenger, 2 truck) |
+| `data/trips.csv` | 5 trips, each as a tgeompoint hex-WKB string (SRID 0) |
+| `data/query_licences.csv` | 2 query licences |
+| `data/query_instants.csv` | 1 query instant |
+| `data/query_points.csv` | 2 query points (WKT) |
+| `data/query_regions.csv` | 1 query polygon region (WKT) |
+| `data/query_periods.csv` | 1 query period (tstzspan literal) |
+
+**Dataset design (SRID 0, planar):**
+
+```
+trip1 (B-AA 100): (0,0) → (100,0) y = 0
+trip2 (B-BB 200): (0,5) → (100,5) y = 5
+trip3 (B-CC 300): (0,3) → (100,3) y = 3 (truck)
+trip4 (B-DD 400): (0,4) → (100,4) y = 4 (truck, 1 unit from trip3)
+trip5 (B-EE 500): far away (not near others)
+
+QueryPoints: POINT(50 0), POINT(50 5)
+QueryRegions: POLYGON((40 -1,60 -1,60 6,40 6,40 -1)) covers x=40..60, y=-1..6
+QueryPeriods: [2020-01-01 00:02:00+00, 2020-01-01 00:08:00+00]
+All trips active during: 2020-01-01 00:00 – 00:10 UTC
+```
+
+**Expected results (verified on MobilityDuck/DuckDB with toy dataset):**
+
+| Query | Result |
+|-------|--------|
+| Q1 | B-AA 100 → Sedan ; B-CC 300 → Lorry |
+| Q2 | B-AA 100, B-BB 200, B-CC 300, B-DD 400 (all 4 non-remote vehicles) |
+| Q3 | 2 rows — MEOS hex-WKB of position at 00:05 UTC |
+| Q4 | B-AA 100, B-BB 200 |
+| Q5 | B-AA 100 ↔ B-CC 300 : 3.0 (nearest approach distance) |
+| Q6 | B-CC 300 ↔ B-DD 400 (trucks within 10 m) |
+| Q7 | 2 rows — hex-WKB of trip portions during the query period |
+| Q8 | 5 rows — WKT trajectory geometry for each trip |
+| Q9 | 1 row — vehicle 5 (EE 500) covers max distance (600 units) in the query period |
+| Q10 | 4 meetings — B-AA 100 meets vehicle 3; B-CC 300 meets vehicles 1, 2, and 4 |
+| Q11 | 2 rows — B-AA 100 at POINT(50 0); B-BB 200 at POINT(50 5) at 00:05 |
+| Q12 | 0 rows — no two vehicles at the same point at the same instant |
+| Q13 | 4 rows — vehicles AA/BB/CC/DD all traverse the query region in the query period |
+| Q14 | 4 rows — same 4 vehicles inside the query region at 00:05 |
+| Q15 | 2 rows — B-AA 100 passes POINT(50 0); B-BB 200 passes POINT(50 5) in the period |
+| Q16 | 1 row — query-licence pair AA/CC in region during period but always spatially disjoint |
+| Q17 | 2 rows — both query points tied at 1 vehicle visit each |
+| QRT | 5 rows — MEOS hex-WKB of all 5 trips (binary roundtrip) |
+
+Expected CSV files for all queries are in `expected/`.
+
+**Cross-platform portability design:**
+- Q3 / Q7 / QRT: use `asHexWKB()` → `temporal_as_hexwkb(ptr, 0)` — byte-for-byte identical
+- Q8: uses `trajectory()` → `geo_as_hexewkb(ptr, NULL)` (PostgreSQL COPY, DuckDB COPY, and MobilitySpark UDF all produce the same little-endian WKB hex)
+- Q11/Q12/Q15: use `p.geomWKT` (original WKT text from CSV) instead of `ST_AsText(geom)` to avoid `POINT(x y)` vs `POINT (x y)` format divergence between PostGIS and DuckDB spatial
+- All other queries: boolean / integer / float / text outputs — identical across platforms
+
+---
+
+## Running on MobilityDB (PostgreSQL)
+
+```bash
+# Create a database and run the comparison:
+createdb berlinmod_portability
+./berlinmod/run_mbdb.sh berlinmod_portability
+```
+
+---
+
+## Running on MobilityDuck (DuckDB)
+
+```bash
+# Run from the repository root:
+./berlinmod/run_mduck.sh [path/to/duckdb]
+```
+
+---
+
+## Running on MobilitySpark (Apache Spark)
+
+```bash
+./berlinmod/run_mspark.sh [spark-submit-binary]
+```
+
+Or manually:
+
+```bash
+spark-submit \
+ --class org.mobilitydb.spark.demo.BerlinMODDemo \
+ --master "local[*]" \
+ target/mobilityspark-*-spark.jar \
+ berlinmod/data \
+ berlinmod/expected
+```
+
+---
+
+## Replacing the synthetic dataset with real BerlinMOD data
+
+The shared CSV format is produced directly by
+[MobilityDB-BerlinMOD](https://github.com/MobilityDB/MobilityDB-BerlinMOD)
+via `berlinmod_portability_export()`:
+
+```sql
+-- In a PostgreSQL database with generated BerlinMOD data:
+\i BerlinMOD/berlinmod_export.sql
+SELECT berlinmod_portability_export('/path/to/output/');
+```
+
+This writes `vehicles.csv`, `trips.csv`, `query_licences.csv`,
+`query_instants.csv`, `query_points.csv`, `query_regions.csv`, and
+`query_periods.csv` in exactly the schema expected by the comparison scripts.
+
+Replace `data/*.csv` with the generated files and re-run:
+
+```bash
+./berlinmod/run_mbdb.sh berlinmod_portability # MobilityDB
+./berlinmod/run_mduck.sh # MobilityDuck
+./berlinmod/run_mspark.sh # MobilitySpark
+```
diff --git a/berlinmod/data/query_instants.csv b/berlinmod/data/query_instants.csv
new file mode 100644
index 00000000..a314cbec
--- /dev/null
+++ b/berlinmod/data/query_instants.csv
@@ -0,0 +1,2 @@
+instantId,instant
+1,2020-01-01 00:05:00+00
diff --git a/berlinmod/data/query_licences.csv b/berlinmod/data/query_licences.csv
new file mode 100644
index 00000000..791adf9c
--- /dev/null
+++ b/berlinmod/data/query_licences.csv
@@ -0,0 +1,3 @@
+licenceId,licence
+1,B-AA 100
+2,B-CC 300
diff --git a/berlinmod/data/query_periods.csv b/berlinmod/data/query_periods.csv
new file mode 100644
index 00000000..95706ee2
--- /dev/null
+++ b/berlinmod/data/query_periods.csv
@@ -0,0 +1,2 @@
+periodId,period
+1,"[2020-01-01 00:02:00+00,2020-01-01 00:08:00+00]"
diff --git a/berlinmod/data/query_points.csv b/berlinmod/data/query_points.csv
new file mode 100644
index 00000000..443d8aae
--- /dev/null
+++ b/berlinmod/data/query_points.csv
@@ -0,0 +1,3 @@
+pointId,geom
+1,POINT(50 0)
+2,POINT(50 5)
diff --git a/berlinmod/data/query_regions.csv b/berlinmod/data/query_regions.csv
new file mode 100644
index 00000000..9d37879e
--- /dev/null
+++ b/berlinmod/data/query_regions.csv
@@ -0,0 +1,2 @@
+regionId,geom
+1,"POLYGON((40 -1,60 -1,60 6,40 6,40 -1))"
diff --git a/berlinmod/data/trips.csv b/berlinmod/data/trips.csv
new file mode 100644
index 00000000..955c32aa
--- /dev/null
+++ b/berlinmod/data/trips.csv
@@ -0,0 +1,6 @@
+tripId,vehId,trip
+1,1,012E000E02000000030101000000000000000000000000000000000000000060C286073E020001010000000000000000005940000000000000000000A685AA073E0200
+2,2,012E000E02000000030101000000000000000000000000000000000014400060C286073E020001010000000000000000005940000000000000144000A685AA073E0200
+3,3,012E000E02000000030101000000000000000000000000000000000008400060C286073E020001010000000000000000005940000000000000084000A685AA073E0200
+4,4,012E000E02000000030101000000000000000000000000000000000010400060C286073E020001010000000000000000005940000000000000104000A685AA073E0200
+5,5,012E000E020000000301010000000000000000408F400000000000408F400060C286073E020001010000000000000000409F400000000000408F4000A685AA073E0200
diff --git a/berlinmod/data/vehicles.csv b/berlinmod/data/vehicles.csv
new file mode 100644
index 00000000..ff331685
--- /dev/null
+++ b/berlinmod/data/vehicles.csv
@@ -0,0 +1,6 @@
+vehId,licence,type,model
+1,B-AA 100,passenger,Sedan
+2,B-BB 200,passenger,SUV
+3,B-CC 300,truck,Lorry
+4,B-DD 400,truck,Truck
+5,B-EE 500,passenger,Van
diff --git a/berlinmod/expected/q01.csv b/berlinmod/expected/q01.csv
new file mode 100644
index 00000000..f60e8daa
--- /dev/null
+++ b/berlinmod/expected/q01.csv
@@ -0,0 +1,3 @@
+licence,model
+B-AA 100,Sedan
+B-CC 300,Lorry
diff --git a/berlinmod/expected/q02.csv b/berlinmod/expected/q02.csv
new file mode 100644
index 00000000..3c642294
--- /dev/null
+++ b/berlinmod/expected/q02.csv
@@ -0,0 +1,5 @@
+licence
+B-AA 100
+B-BB 200
+B-CC 300
+B-DD 400
diff --git a/berlinmod/expected/q03.csv b/berlinmod/expected/q03.csv
new file mode 100644
index 00000000..eec09de0
--- /dev/null
+++ b/berlinmod/expected/q03.csv
@@ -0,0 +1,3 @@
+vehid,licence,instantid,pos
+1,B-AA 100,1,012E00010101000000000000000000494000000000000000000003A498073E0200
+3,B-CC 300,1,012E00010101000000000000000000494000000000000008400003A498073E0200
diff --git a/berlinmod/expected/q04.csv b/berlinmod/expected/q04.csv
new file mode 100644
index 00000000..5720896c
--- /dev/null
+++ b/berlinmod/expected/q04.csv
@@ -0,0 +1,3 @@
+licence
+B-AA 100
+B-BB 200
diff --git a/berlinmod/expected/q05.csv b/berlinmod/expected/q05.csv
new file mode 100644
index 00000000..9f4d11f1
--- /dev/null
+++ b/berlinmod/expected/q05.csv
@@ -0,0 +1,2 @@
+licence1,licence2,min_dist
+B-AA 100,B-CC 300,3.0
diff --git a/berlinmod/expected/q06.csv b/berlinmod/expected/q06.csv
new file mode 100644
index 00000000..4fe90fb5
--- /dev/null
+++ b/berlinmod/expected/q06.csv
@@ -0,0 +1,2 @@
+licence1,licence2
+B-CC 300,B-DD 400
diff --git a/berlinmod/expected/q07.csv b/berlinmod/expected/q07.csv
new file mode 100644
index 00000000..da8f39b2
--- /dev/null
+++ b/berlinmod/expected/q07.csv
@@ -0,0 +1,3 @@
+vehid,licence,periodid,pos
+1,B-AA 100,1,012E000E0200000003010100000000000000000034400000000000000000006EE98D073E020001010000000000000000005440000000000000000000985EA3073E0200
+3,B-CC 300,1,012E000E0200000003010100000000000000000034400000000000000840006EE98D073E020001010000000000000000005440000000000000084000985EA3073E0200
diff --git a/berlinmod/expected/q08.csv b/berlinmod/expected/q08.csv
new file mode 100644
index 00000000..ab85f43d
--- /dev/null
+++ b/berlinmod/expected/q08.csv
@@ -0,0 +1,6 @@
+tripid,traj
+1,0102000000020000000000000000000000000000000000000000000000000059400000000000000000
+2,0102000000020000000000000000000000000000000000144000000000000059400000000000001440
+3,0102000000020000000000000000000000000000000000084000000000000059400000000000000840
+4,0102000000020000000000000000000000000000000000104000000000000059400000000000001040
+5,0102000000020000000000000000408F400000000000408F400000000000409F400000000000408F40
diff --git a/berlinmod/expected/q09.csv b/berlinmod/expected/q09.csv
new file mode 100644
index 00000000..32eb2dde
--- /dev/null
+++ b/berlinmod/expected/q09.csv
@@ -0,0 +1,2 @@
+periodId,period,maxDist
+1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",600.000
diff --git a/berlinmod/expected/q10.csv b/berlinmod/expected/q10.csv
new file mode 100644
index 00000000..2641d861
--- /dev/null
+++ b/berlinmod/expected/q10.csv
@@ -0,0 +1,5 @@
+licence1,car2Id,periods
+B-AA 100,3,"{[2020-01-01 01:00:00+01, 2020-01-01 01:10:00+01]}"
+B-CC 300,1,"{[2020-01-01 01:00:00+01, 2020-01-01 01:10:00+01]}"
+B-CC 300,2,"{[2020-01-01 01:00:00+01, 2020-01-01 01:10:00+01]}"
+B-CC 300,4,"{[2020-01-01 01:00:00+01, 2020-01-01 01:10:00+01]}"
diff --git a/berlinmod/expected/q11.csv b/berlinmod/expected/q11.csv
new file mode 100644
index 00000000..a84aa87f
--- /dev/null
+++ b/berlinmod/expected/q11.csv
@@ -0,0 +1,3 @@
+pointId,geom,instantId,instant,licence
+1,POINT(50 0),1,2020-01-01 01:05:00+01,B-AA 100
+2,POINT(50 5),1,2020-01-01 01:05:00+01,B-BB 200
diff --git a/berlinmod/expected/q12.csv b/berlinmod/expected/q12.csv
new file mode 100644
index 00000000..adc56dc1
--- /dev/null
+++ b/berlinmod/expected/q12.csv
@@ -0,0 +1 @@
+pointId,geom,instantId,instant,licence1,licence2
diff --git a/berlinmod/expected/q13.csv b/berlinmod/expected/q13.csv
new file mode 100644
index 00000000..199346aa
--- /dev/null
+++ b/berlinmod/expected/q13.csv
@@ -0,0 +1,5 @@
+regionId,periodId,period,licence
+1,1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-AA 100
+1,1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-BB 200
+1,1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-CC 300
+1,1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-DD 400
diff --git a/berlinmod/expected/q14.csv b/berlinmod/expected/q14.csv
new file mode 100644
index 00000000..05cb9493
--- /dev/null
+++ b/berlinmod/expected/q14.csv
@@ -0,0 +1,5 @@
+regionId,instantId,instant,licence
+1,1,2020-01-01 01:05:00+01,B-AA 100
+1,1,2020-01-01 01:05:00+01,B-BB 200
+1,1,2020-01-01 01:05:00+01,B-CC 300
+1,1,2020-01-01 01:05:00+01,B-DD 400
diff --git a/berlinmod/expected/q15.csv b/berlinmod/expected/q15.csv
new file mode 100644
index 00000000..c3ff1376
--- /dev/null
+++ b/berlinmod/expected/q15.csv
@@ -0,0 +1,3 @@
+pointId,geom,periodId,period,licence
+1,POINT(50 0),1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-AA 100
+2,POINT(50 5),1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",B-BB 200
diff --git a/berlinmod/expected/q16.csv b/berlinmod/expected/q16.csv
new file mode 100644
index 00000000..caba2ade
--- /dev/null
+++ b/berlinmod/expected/q16.csv
@@ -0,0 +1,2 @@
+periodId,period,regionId,licence1,licence2
+1,"[2020-01-01 01:02:00+01, 2020-01-01 01:08:00+01]",1,B-AA 100,B-CC 300
diff --git a/berlinmod/expected/q17.csv b/berlinmod/expected/q17.csv
new file mode 100644
index 00000000..bc78509c
--- /dev/null
+++ b/berlinmod/expected/q17.csv
@@ -0,0 +1,3 @@
+pointId,hits
+1,1
+2,1
diff --git a/berlinmod/expected/qrt.csv b/berlinmod/expected/qrt.csv
new file mode 100644
index 00000000..70d2a4b8
--- /dev/null
+++ b/berlinmod/expected/qrt.csv
@@ -0,0 +1,6 @@
+tripid,trip_hexwkb
+1,012E000E02000000030101000000000000000000000000000000000000000060C286073E020001010000000000000000005940000000000000000000A685AA073E0200
+2,012E000E02000000030101000000000000000000000000000000000014400060C286073E020001010000000000000000005940000000000000144000A685AA073E0200
+3,012E000E02000000030101000000000000000000000000000000000008400060C286073E020001010000000000000000005940000000000000084000A685AA073E0200
+4,012E000E02000000030101000000000000000000000000000000000010400060C286073E020001010000000000000000005940000000000000104000A685AA073E0200
+5,012E000E020000000301010000000000000000408F400000000000408F400060C286073E020001010000000000000000409F400000000000408F4000A685AA073E0200
diff --git a/berlinmod/load_mbdb.sql b/berlinmod/load_mbdb.sql
new file mode 100644
index 00000000..0a6a1cdf
--- /dev/null
+++ b/berlinmod/load_mbdb.sql
@@ -0,0 +1,127 @@
+/******************************************************************************
+ * BerlinMOD portable SQL — MobilityDB/PostgreSQL data loader
+ *
+ * Loads the shared berlinmod/data/ CSV files into a PostgreSQL database with
+ * the MobilityDB extension. Run via the companion shell script:
+ *
+ * ./berlinmod/run_mbdb.sh [dbname]
+ *
+ * Or manually (psql must be run from the repository root):
+ *
+ * psql -d