File: rt_elevation_functions.sql

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SET client_min_messages TO warning;

/*
1 1 1 1 1 1 1 1 1
1 2 2 2 1 2 2 2 1
1 2 3 2 2 2 3 2 1
1 2 2 2 1 2 2 2 1
1 1 2 1 3 1 2 1 1
1 2 2 2 1 2 2 2 1
1 2 3 2 2 2 3 2 1
1 2 2 2 1 2 2 2 1
1 1 1 1 1 1 1 1 1
*/

DROP TABLE IF EXISTS raster_elevation;
CREATE TABLE raster_elevation (rid integer, rast raster);
DROP TABLE IF EXISTS raster_elevation_out;
CREATE TABLE raster_elevation_out (rid integer, functype text, rast raster);

INSERT INTO raster_elevation
	SELECT
		0 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(9, 9, 0, 0, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 1, 1, 1, 1, 1, 1, 1, 1],
				[1, 2, 2, 2, 1, 2, 2, 2, 1],
				[1, 2, 3, 2, 2, 2, 3, 2, 1],
				[1, 2, 2, 2, 1, 2, 2, 2, 1],
				[1, 1, 2, 1, 3, 1, 2, 1, 1],
				[1, 2, 2, 2, 1, 2, 2, 2, 1],
				[1, 2, 3, 2, 2, 2, 3, 2, 1],
				[1, 2, 2, 2, 1, 2, 2, 2, 1],
				[1, 1, 1, 1, 1, 1, 1, 1, 1]
			]::double precision[]
		) AS rast
;

INSERT INTO raster_elevation
	SELECT
		1 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 0, 0, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 1, 1],
				[1, 2, 2],
				[1, 2, 3]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		2 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 0, -3, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 2, 2],
				[1, 1, 2],
				[1, 2, 2]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		3 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 0, -6, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 2, 3],
				[1, 2, 2],
				[1, 1, 1]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		4 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 3, 0, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 1, 1],
				[2, 1, 2],
				[2, 2, 2]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		5 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 3, -3, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[2, 1, 2],
				[1, 3, 1],
				[2, 1, 2]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		6 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 3, -6, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[2, 2, 2],
				[2, 1, 2],
				[1, 1, 1]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		7 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 6, 0, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[1, 1, 1],
				[2, 2, 1],
				[3, 2, 1]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		8 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 6, -3, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[2, 2, 1],
				[2, 1, 1],
				[2, 2, 1]
			]::double precision[]
		) AS rast
	UNION ALL
	SELECT
		9 AS rid,
		ST_SetValues(
			ST_AddBand(ST_MakeEmptyRaster(3, 3, 6, -6, 1, -1, 0, 0, 0), 1, '32BF', 0, -9999),
			1, 1, 1, ARRAY[
				[3, 2, 1],
				[2, 2, 1],
				[1, 1, 1]
			]::double precision[]
		) AS rast
;

/* ST_Slope */
INSERT INTO raster_elevation_out
SELECT
	rid,
	'slope',
	ST_Slope(rast)
FROM raster_elevation
WHERE rid = 0
UNION ALL
SELECT
	rid,
	'aspect',
	ST_Aspect(rast)
FROM raster_elevation
WHERE rid = 0
UNION ALL
SELECT
	rid,
	'hillshade',
	ST_Hillshade(rast)
FROM raster_elevation
WHERE rid = 0
;

/* with coverage */
DO $$
BEGIN
-- this ONLY works for PostgreSQL version 9.1 or higher
IF array_to_string(regexp_matches(split_part(version(), ' ', 2), E'([0-9]+)\.([0-9]+)'), '')::int > 90 THEN

	INSERT INTO raster_elevation_out (
		SELECT
			t1.rid,
			'slope',
			ST_Slope(ST_Union(t2.rast), 1, t1.rast) AS rast
		FROM raster_elevation t1
		CROSS JOIN raster_elevation t2
		WHERE t1.rid != 0
			AND t2.rid != 0
			AND ST_Intersects(t1.rast, t2.rast)
		GROUP BY t1.rid, t1.rast
		ORDER BY t1.rid
	) UNION ALL (
		SELECT
			t1.rid,
			'aspect',
			ST_Aspect(ST_Union(t2.rast), 1, t1.rast) AS rast
		FROM raster_elevation t1
		CROSS JOIN raster_elevation t2
		WHERE t1.rid != 0
			AND t2.rid != 0
			AND ST_Intersects(t1.rast, t2.rast)
		GROUP BY t1.rid, t1.rast
		ORDER BY t1.rid
	) UNION ALL (
		SELECT
			t1.rid,
			'hillshade',
			ST_Hillshade(ST_Union(t2.rast), 1, t1.rast) AS rast
		FROM raster_elevation t1
		CROSS JOIN raster_elevation t2
		WHERE t1.rid != 0
			AND t2.rid != 0
			AND ST_Intersects(t1.rast, t2.rast)
		GROUP BY t1.rid, t1.rast
		ORDER BY t1.rid
	);

ELSE

	INSERT INTO raster_elevation_out (
		WITH foo AS (
			SELECT
				t1.rid,
				ST_Union(t2.rast) AS rast
			FROM raster_elevation t1
			JOIN raster_elevation t2
				ON ST_Intersects(t1.rast, t2.rast)
					AND t1.rid != 0
					AND t2.rid != 0
			GROUP BY t1.rid
		)
		SELECT
			t1.rid,
			'slope',
			ST_Slope(t2.rast, 1, t1.rast) AS rast
		FROM raster_elevation t1
		JOIN foo t2
			ON t1.rid = t2.rid
		ORDER BY t1.rid
	) UNION ALL (
		WITH foo AS (
			SELECT
				t1.rid,
				ST_Union(t2.rast) AS rast
			FROM raster_elevation t1
			JOIN raster_elevation t2
				ON ST_Intersects(t1.rast, t2.rast)
					AND t1.rid != 0
					AND t2.rid != 0
			GROUP BY t1.rid
		)
		SELECT
			t1.rid,
			'aspect',
			ST_Aspect(t2.rast, 1, t1.rast) AS rast
		FROM raster_elevation t1
		JOIN foo t2
			ON t1.rid = t2.rid
		ORDER BY t1.rid
	) UNION ALL (
		WITH foo AS (
			SELECT
				t1.rid,
				ST_Union(t2.rast) AS rast
			FROM raster_elevation t1
			JOIN raster_elevation t2
				ON ST_Intersects(t1.rast, t2.rast)
					AND t1.rid != 0
					AND t2.rid != 0
				GROUP BY t1.rid
		)
		SELECT
			t1.rid,
			'hillshade',
			ST_Hillshade(t2.rast, 1, t1.rast) AS rast
		FROM raster_elevation t1
		JOIN foo t2
			ON t1.rid = t2.rid
		ORDER BY t1.rid
	);

END IF;
END $$;

WITH foo AS (
	SELECT
		rid,
		functype,
		ST_PixelAsPoints(rast) AS papt
	FROM raster_elevation_out
)
SELECT
	rid,
	functype,
	(papt).x,
	(papt).y,
	round((papt).val::numeric, 6) AS val
FROM foo
ORDER BY 2, 1, 4, 3;

DROP TABLE IF EXISTS raster_elevation_out;
DROP TABLE IF EXISTS raster_elevation;

-- ST_TPI

DROP TABLE IF EXISTS raster_value_arrays;
CREATE TABLE raster_value_arrays (
	id integer,
	val double precision[][]
);
CREATE OR REPLACE FUNCTION make_value_array(
	rows integer DEFAULT 3,
	columns integer DEFAULT 3,
	start_val double precision DEFAULT 1,
	step double precision DEFAULT 1,
	skip_expr text DEFAULT NULL
)
	RETURNS double precision[][][]
	AS $$
	DECLARE
		x int;
		y int;
		value double precision;
		values double precision[][][];
		result boolean;
		expr text;
	BEGIN
		value := start_val;

		values := array_fill(NULL::double precision, ARRAY[1, columns, rows]);

		FOR y IN 1..columns LOOP
			FOR x IN 1..rows LOOP
				IF skip_expr IS NULL OR length(skip_expr) < 1 THEN
					result := TRUE;
				ELSE
					expr := replace(skip_expr, '[v]'::text, value::text);
					EXECUTE 'SELECT (' || expr || ')::boolean' INTO result;
				END IF;

				IF result IS TRUE THEN
					values[1][y][x] := value;
				END IF;

				value := value + step;
			END LOOP;
		END LOOP;

		RETURN values;
	END;
	$$ LANGUAGE 'plpgsql';

INSERT INTO raster_value_arrays VALUES
	(1, make_value_array()),
	(2, make_value_array(3, 3, 15, -1)),
	(3, make_value_array(3, 3, 1, 2)),

	(4, make_value_array(3, 3, 1, 1, '0')),
	(5, make_value_array(3, 3, 1, 1, '[v] % 2')),
	(6, make_value_array(3, 3, 1, 1, '([v] % 2) = 0')),
	(7, make_value_array(3, 3, 1, 2.1, '([v] NOT IN (7.3, 9.4, 15.7, 17.8))')),
	(8, make_value_array(3, 3, 0, 3.14, '([v] IN (3.14, 12.56, 25.12))')),
	(9, make_value_array(3, 3, 1, 1, '[v] > 8')),
	(10,make_value_array(3,3,3.14,12)),
	(11,make_value_array(3,3,2.11,11));

SELECT
	id,
	val,
	round(_st_tpi4ma(val,NULL,NULL)::numeric, 6) as tpi
FROM raster_value_arrays
ORDER BY id;

SELECT
	id,
	val,
	round(_st_roughness4ma(val,NULL,NULL)::numeric, 6) as roughness
FROM raster_value_arrays
ORDER BY id;

SELECT
	id,
	val,
	round(_st_tri4ma(val,NULL,NULL)::numeric, 6) as tri
FROM raster_value_arrays
ORDER BY id;

DROP TABLE IF EXISTS raster_value_arrays;
DROP FUNCTION IF EXISTS make_value_array(integer,integer,double precision, double precision, text);