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@ncclementi
Created November 21, 2023 22:01
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "bb3fb224-8206-4bd9-9549-6c0e4866006f",
"metadata": {},
"outputs": [],
"source": [
"import duckdb\n",
"import geopandas as gpd\n",
"import shapely\n",
"import shapely.plotting"
]
},
{
"cell_type": "markdown",
"id": "95e95227-52ba-483a-8c98-fd6226367567",
"metadata": {},
"source": [
"### About data\n",
"The data used here is a slight modification of the https://github.com/duckdb/duckdb_spatial/tree/main/test/data/nyc_taxi/taxi_zones\n",
"\n",
"We added two columns and save as geojson https://raw.githubusercontent.com/ibis-project/testing-data/master/geojson/zones.geojson"
]
},
{
"cell_type": "markdown",
"id": "4bf4a301-1422-4236-a50f-c2dbf1c094b9",
"metadata": {},
"source": [
"## DuckDB "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "bac7c568-b399-4ec5-84f2-2b7530fb6c37",
"metadata": {},
"outputs": [],
"source": [
"con = duckdb.connect()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e6ab5d59-6141-4be1-885a-b11c6c850dcd",
"metadata": {},
"outputs": [],
"source": [
"con.load_extension(\"spatial\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c85f4670-1199-4ade-b3b9-a2a65df2c9d5",
"metadata": {},
"outputs": [],
"source": [
"# need st_aswkb to be able to read from shapely\n",
"# see issue https://github.com/duckdb/duckdb_spatial/issues/188\n",
"u_agg_db = con.sql(\"select st_aswkb(st_union_agg(geom)) from st_read('https://raw.githubusercontent.com/ibis-project/testing-data/master/geojson/zones.geojson')\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d0e3ec87-cc89-4ea1-9045-f92bddef06b4",
"metadata": {},
"outputs": [],
"source": [
"val = u_agg_db.arrow()[0][0].as_py()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "aac4a6aa-6462-445e-bae9-32e51b84946a",
"metadata": {},
"outputs": [],
"source": [
"union_agg_db = shapely.from_wkb(val)"
]
},
{
"cell_type": "markdown",
"id": "97ef0a21-b4e7-4a52-978b-ed14c2a1189a",
"metadata": {},
"source": [
"## Geopandas"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "43ed0e63-6a9b-4794-baed-1b5e23ebe9c4",
"metadata": {},
"outputs": [],
"source": [
"gdf = gpd.read_file(\"https://raw.githubusercontent.com/ibis-project/testing-data/master/geojson/zones.geojson\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f721922b-2379-4ff2-a07b-d01cb49a7149",
"metadata": {},
"outputs": [],
"source": [
"unary_union = gdf.geometry.unary_union"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d3aec953-936d-47d4-8241-5ab1d4c8e15e",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "373adb25-8093-4425-bff8-40eb5e258886",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x17fe0d5d0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## plotting\n",
"\n",
"shapely.plotting.plot_polygon(unary_union, color='r', alpha=0.2,\n",
" add_points=True, label=\"geopandas\")\n",
"shapely.plotting.plot_polygon(union_agg_db, color='b', alpha=0.2, \n",
" add_points=True, label=\"duckdb\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "11a36ec5-c43e-461b-bca8-997203794ec6",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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