-- Calculate the estimated extent of a cartodbfy'ed table. -- Scope: private. -- Parameters -- reloid: oid of the input table. -- Return value A box2d extent in 3857. CREATE OR REPLACE FUNCTION _cdb_estimated_extent(reloid REGCLASS) RETURNS box2d AS $$ DECLARE ext box2d; ext_query text; table_id record; BEGIN SELECT n.nspname AS schema_name, c.relname table_name INTO STRICT table_id FROM pg_class c JOIN pg_namespace n on n.oid = c.relnamespace WHERE c.oid = reloid::oid; ext_query = format( 'SELECT ST_EstimatedExtent(''%1$I'', ''%2$I'', ''%3$I'');', table_id.schema_name, table_id.table_name, 'the_geom_webmercator' ); BEGIN EXECUTE ext_query INTO ext; EXCEPTION -- This is the typical ERROR: stats for "mytable" do not exist WHEN internal_error THEN -- Get stats and execute again EXECUTE format('ANALYZE %1$I', reloid); EXECUTE ext_query INTO ext; END; RETURN ext; END; $$ LANGUAGE PLPGSQL VOLATILE; -- Determine the max feature density of a given dataset. -- Scope: private. -- Parameters -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- nz: number of zoom levels to consider from z0 upward. -- Return value: feature density (num_features / webmercator_squared_meters). CREATE OR REPLACE FUNCTION _CDB_Feature_Density(reloid REGCLASS, nz integer) RETURNS FLOAT8 AS $$ DECLARE fd FLOAT8; min_features TEXT; n integer = 4; c FLOAT8; BEGIN -- TODO: for small total count or extents we could just: -- EXECUTE 'SELECT Count(*)/ST_Area(ST_Extent(the_geom_webmercator)) FROM ' || reloid::text || ';' INTO fd; -- min_features is a SQL subexpression which can depend on z and represents -- the minimum number of features to recursively consider a tile. -- We can either use a fixed minimum number of features per tile -- or a minimum feature density by dividing the number of features by -- the area of tiles at level Z: c*c*power(2, -2*z) -- with c = CDB_XYZ_Resolution(-8) (earth circumference) min_features = '500'; SELECT CDB_XYZ_Resolution(-8) INTO c; -- We first compute a set of *seed* tiles, of the minimum Z level, z0, such that -- they cover the extent of the table and we have at least n of them in each -- linear dimension (i.e. at least n*n tiles cover the extent). -- We compute the number of features in these tiles, and recursively in -- subtiles up to level z0 + nz. Then we compute the maximum of the feature -- density (per tile area in webmercator squared meters) for all the -- considered tiles. EXECUTE Format(' WITH RECURSIVE t(x, y, z, e) AS ( WITH ext AS (SELECT _cdb_estimated_extent(%6$s) as g), base AS ( SELECT (-floor(log(2, (greatest(ST_XMax(ext.g)-ST_XMin(ext.g), ST_YMax(ext.g)-ST_YMin(ext.g))/(%4$s*%5$s))::numeric)))::integer z FROM ext ), lim AS ( SELECT FLOOR((ST_XMin(ext.g)+CDB_XYZ_Resolution(0)*128)/(CDB_XYZ_Resolution(base.z)*256))::integer x0, FLOOR((ST_XMax(ext.g)+CDB_XYZ_Resolution(0)*128)/(CDB_XYZ_Resolution(base.z)*256))::integer x1, FLOOR((CDB_XYZ_Resolution(0)*128-ST_YMin(ext.g))/(CDB_XYZ_Resolution(base.z)*256))::integer y1, FLOOR((CDB_XYZ_Resolution(0)*128-ST_YMax(ext.g))/(CDB_XYZ_Resolution(base.z)*256))::integer y0 FROM ext, base ), seed AS ( SELECT xt, yt, base.z, ( SELECT count(*) FROM %1$s WHERE the_geom_webmercator && CDB_XYZ_Extent(xt, yt, base.z) ) e FROM base, lim, generate_series(lim.x0, lim.x1) xt, generate_series(lim.y0, lim.y1) yt ) SELECT * from seed UNION ALL SELECT x*2 + xx, y*2 + yy, t.z+1, ( SELECT count(*) FROM %1$s WHERE the_geom_webmercator && CDB_XYZ_Extent(x*2 + xx, y*2 + yy, t.z+1) ) FROM t, base, (VALUES (0, 0), (0, 1), (1, 1), (1, 0)) AS c(xx, yy) WHERE t.e > %2$s AND t.z < (base.z + %3$s) ) SELECT MAX(e/ST_Area(CDB_XYZ_Extent(x,y,z))) FROM t where e > 0; ', reloid::text, min_features, nz, n, c, reloid::oid) INTO fd; RETURN fd; END $$ LANGUAGE PLPGSQL STABLE; -- Experimental default strategy to assign a reference base Z level -- to a cartodbfied table. The resulting Z level represents the -- minimum scale level at which the table data can be rendered -- without overcrowded results or loss of detail. -- Parameters: -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- Return value: Z level as an integer CREATE OR REPLACE FUNCTION _CDB_Dummy_Ref_Z_Strategy(reloid REGCLASS) RETURNS INTEGER AS $$ DECLARE lim FLOAT8 := 500; -- TODO: determine/parameterize this nz integer := 4; fd FLOAT8; c FLOAT8; BEGIN -- Compute fd as an estimation of the (maximum) number -- of features per unit of tile area (in webmercator squared meters) SELECT _CDB_Feature_Density(reloid, nz) INTO fd; -- lim maximum number of (desiderable) features per tile -- we have c = 2*Pi*R = CDB_XYZ_Resolution(-8) (earth circumference) -- ta(z): tile area = power(c*power(2,z), 2) = c*c*power(2,2*z) -- => fd*ta(z) if the average number of features per tile at level z -- find minimum z so that fd*ta(z) <= lim -- compute a rough 'feature density' value SELECT CDB_XYZ_Resolution(-8) INTO c; RETURN ceil(log(2.0, (c*c*fd/lim)::numeric)/2); END; $$ LANGUAGE PLPGSQL STABLE; -- Overview table name for a given Z level and base dataset or overview table -- Scope: private. -- Parameters: -- ref reference table (can be the base table of the dataset or an existing -- overview) from which the overview is being generated. -- ref_z Z level of the reference table -- overview_z Z level of the overview to be named, must be smaller than ref_z -- Return value: the name to be used for the overview CREATE OR REPLACE FUNCTION _CDB_Overview_Name(ref REGCLASS, ref_z INTEGER, overview_z INTEGER) RETURNS TEXT AS $$ DECLARE base TEXT; suffix TEXT; is_overview BOOLEAN; BEGIN suffix := Format('_ov%s', ref_z); SELECT ref::text LIKE Format('%%%s', suffix) INTO is_overview; IF is_overview THEN SELECT substring(ref::text FROM 1 FOR length(ref::text)-length(suffix)) INTO base; ELSE base := ref; END IF; RETURN Format('%s_ov%s', base::text, overview_z); END $$ LANGUAGE PLPGSQL IMMUTABLE; -- Experimental simplistic reduction method for point datasets to be used as a default. -- Scope: private. -- reloid original table (can be the base table of the dataset or an existing -- overview) from which the overview is being generated. -- ref_z Z level assigned to the original table -- overview_z Z level of the overview to be generated, must be smaller than ref_z -- Return value: Name of the generated overview table CREATE OR REPLACE FUNCTION _CDB_Dummy_Reduce_Strategy(reloid REGCLASS, ref_z INTEGER, overview_z INTEGER) RETURNS REGCLASS AS $$ DECLARE overview_rel TEXT; reduction FLOAT8; base_name TEXT; BEGIN overview_rel := _CDB_Overview_Name(reloid, ref_z, overview_z); -- TODO: implement a proper sampling strategy; -- Here we're just inefficiently sampling the data to mantain -- the approximate visual density of the reference level. reduction := power(2, 2*(overview_z - ref_z)); EXECUTE Format('DROP TABLE IF EXISTS %s CASCADE;', overview_rel); EXECUTE Format('CREATE TABLE %s AS SELECT * FROM %s WHERE random() < %s;', overview_rel, reloid, reduction); RETURN overview_rel; END; $$ LANGUAGE PLPGSQL; -- Register new overview table (post-creation chores) -- Scope: private -- Parameters: -- dataset: oid of the input dataset table, It must be a cartodbfy'ed table. -- overview_table: oid of the overview table to be registered. -- overview_z: intended Z level for the overview table CREATE OR REPLACE FUNCTION _CDB_Register_Overview(dataset REGCLASS, overview_table REGCLASS, overview_z INTEGER) RETURNS VOID AS $$ DECLARE sql TEXT; BEGIN IF current_user != session_user THEN sql := Format('ALTER TABLE IF EXISTS %s OWNER TO %s', overview_table::text, session_user); EXECUTE sql; END IF; PERFORM _CDB_Add_Indexes(overview_table); -- TODO: we'll need to store metadata somewhere to define -- which overlay levels are available. Here we should add this metadata -- (or replace existing metadata) END $$ LANGUAGE PLPGSQL; -- Dataset attributes (column names other than the -- CartoDB primary key and geometry columns) which should be aggregated -- in aggregated overviews. -- Scope: private. -- Parameters -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- Return value: set of attribute names CREATE OR REPLACE FUNCTION _CDB_Aggregable_Attributes(reloid REGCLASS) RETURNS SETOF information_schema.sql_identifier AS $$ SELECT c FROM cartodb.CDB_ColumnNames(reloid) c, _CDB_Columns() cdb WHERE c NOT IN ( cdb.pkey, cdb.geomcol, cdb.mercgeomcol ) $$ LANGUAGE SQL STABLE; -- List of dataset attributes to be aggregated in aggregated overview -- as a comma-separated SQL expression. -- Scope: private. -- Parameters -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- Return value: SQL subexpression as text CREATE OR REPLACE FUNCTION _CDB_Aggregable_Attributes_Expression(reloid REGCLASS) RETURNS TEXT AS $$ DECLARE attr_list TEXT; BEGIN SELECT string_agg(s.c, ',') FROM ( SELECT * FROM _CDB_Aggregable_Attributes(reloid) c ) AS s INTO attr_list; RETURN attr_list; END $$ LANGUAGE PLPGSQL STABLE; -- SQL Aggregation expression for a datase attribute -- Scope: private. -- Parameters -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- column_name: column to be aggregated -- table_alias: (optional) table qualifier for the column to be aggregated -- Return SQL subexpression as text with aggregated attribute aliased -- with its original name. CREATE OR REPLACE FUNCTION _CDB_Attribute_Aggregation_Expression(reloid REGCLASS, column_name TEXT, table_alias TEXT DEFAULT '') RETURNS TEXT AS $$ DECLARE column_type TEXT; qualified_column TEXT; BEGIN IF table_alias <> '' THEN qualified_column := Format('%I.%I', table_alias, column_name); ELSE qualified_column := Format('%I', column_name); END IF; column_type := cartodb.CDB_ColumnType(reloid, column_name); CASE column_type WHEN 'double precision', 'real', 'integer', 'bigint' THEN RETURN Format('AVG(%s)::' || column_type, qualified_column); WHEN 'text' THEN -- TODO: we could define a new aggregate function that returns distinct -- separated values with a limit, adding ellipsis if more values existed -- e.g. with '/' as separator and a limit of three: -- 'A', 'B', 'A', 'C', 'D' => 'A/B/C/...' -- Other ideas: if value is unique then use it, otherwise use something -- like '*' or '(varies)' or '(multiple values)', or NULL RETURN '''''::' || column_type; ELSE RETURN 'NULL::' || column_type; END CASE; END $$ LANGUAGE PLPGSQL IMMUTABLE; -- List of dataset aggregated attributes as a comma-separated SQL expression. -- Scope: private. -- Parameters -- reloid: oid of the input table. It must be a cartodbfy'ed table. -- table_alias: (optional) table qualifier for the columns to be aggregated -- Return value: SQL subexpression as text CREATE OR REPLACE FUNCTION _CDB_Aggregated_Attributes_Expression(reloid REGCLASS, table_alias TEXT DEFAULT '') RETURNS TEXT AS $$ DECLARE attr_list TEXT; BEGIN SELECT string_agg(_CDB_Attribute_Aggregation_Expression(reloid, s.c, table_alias) || Format(' AS %s', s.c), ',') FROM ( SELECT * FROM _CDB_Aggregable_Attributes(reloid) c ) AS s INTO attr_list; RETURN attr_list; END $$ LANGUAGE PLPGSQL STABLE; -- Experimental Overview reduction method for point datasets. -- It clusters the points using a grid, then aggregates the point in each -- cluster into a point at the centroid of the clustered records. -- Scope: public. -- Parameters: -- reloid original table (can be the base table of the dataset or an existing -- overview) from which the overview is being generated. -- ref_z Z level assigned to the original table -- overview_z Z level of the overview to be generated, must be smaller than ref_z -- Return value: Name of the generated overview table CREATE OR REPLACE FUNCTION CDB_GridCluster_Reduce_Strategy(reloid REGCLASS, ref_z INTEGER, overview_z INTEGER) RETURNS REGCLASS AS $$ DECLARE overview_rel TEXT; reduction FLOAT8; base_name TEXT; grid_px FLOAT8 = 7.5; -- Grid size in pixels at Z level overview_z grid_m FLOAT8; aggr_attributes TEXT; attributes TEXT; BEGIN overview_rel := _CDB_Overview_Name(reloid, ref_z, overview_z); -- compute grid cell size using the overview_z dimension... SELECT CDB_XYZ_Resolution(overview_z)*grid_px INTO grid_m; attributes := _CDB_Aggregable_Attributes_Expression(reloid); aggr_attributes := _CDB_Aggregated_Attributes_Expression(reloid); IF attributes <> '' THEN attributes := attributes || ', '; END IF; IF aggr_attributes <> '' THEN aggr_attributes := aggr_attributes || ', '; END IF; EXECUTE Format('DROP TABLE IF EXISTS %s CASCADE;', overview_rel); -- Now we cluster the data using a grid of size grid_m -- and selecte the centroid (average coordinates) of each cluster. -- If we had a selected numeric attribute of interest we could use it -- as a weight for the average coordinates. EXECUTE Format(' CREATE TABLE %3$s AS WITH clusters AS ( SELECT %5$s count(*) AS n, SUM(ST_X(f.the_geom_webmercator)) AS sx, SUM(ST_Y(f.the_geom_webmercator)) AS sy, Floor(ST_X(f.the_geom_webmercator)/%2$s)::int AS gx, Floor(ST_Y(f.the_geom_webmercator)/%2$s)::int AS gy, row_number() OVER () AS cartodb_id FROM %1$s f GROUP BY gx, gy ) SELECT %4$s cartodb_id, ST_SetSRID(ST_MakePoint(sx/n, sy/n), 3857) AS the_geom_webmercator, ST_Transform(ST_SetSRID(ST_MakePoint(sx/n, sy/n), 3857), 4326) AS the_geom FROM clusters ', reloid::text, grid_m, overview_rel, attributes, aggr_attributes); RETURN overview_rel; END; $$ LANGUAGE PLPGSQL; -- Create overview tables for a dataset. -- Scope: public -- Parameters: -- reloid: oid of the input table. It must be a cartodbfy'ed table with -- vector features. -- refscale_strategy: function that computes the reference Z of the dataset -- reduce_strategy: function that generates overviews from a base table -- or higher level overview -- Return value: Array with the names of the generated overview tables CREATE OR REPLACE FUNCTION CDB_CreateOverviews( reloid REGCLASS, refscale_strategy regproc DEFAULT '_CDB_Dummy_Ref_Z_Strategy'::regproc, reduce_strategy regproc DEFAULT '_CDB_Dummy_Reduce_Strategy'::regproc ) RETURNS text[] AS $$ DECLARE ref_z integer; overviews_z integer[]; base_z integer; base_rel REGCLASS; overview_z integer; overview_tables REGCLASS[]; BEGIN -- TODO: adjust statement_timeout here based on input table size? -- Determine the referece zoom level EXECUTE 'SELECT ' || quote_ident(refscale_strategy::text) || Format('(''%s'');', reloid) INTO ref_z; -- Determine overlay zoom levels -- TODO: should be handled by the refscale_stragegy? overview_z := ref_z - 1; WHILE overview_z >= 0 LOOP SELECT array_append(overviews_z, overview_z) INTO overviews_z; overview_z := overview_z - 2; END LOOP; -- Create overlay tables base_z := ref_z; base_rel := reloid; FOREACH overview_z IN ARRAY overviews_z LOOP EXECUTE 'SELECT ' || quote_ident(reduce_strategy::text) || Format('(''%s'', %s, %s);', base_rel, base_z, overview_z) INTO base_rel; base_z := overview_z; PERFORM _CDB_Register_Overview(reloid, base_rel, base_z); SELECT array_append(overview_tables, base_rel) INTO overview_tables; END LOOP; RETURN overview_tables; END; $$ LANGUAGE PLPGSQL;