1053 lines
34 KiB
MySQL
1053 lines
34 KiB
MySQL
|
--DO NOT MODIFY THIS FILE, IT IS GENERATED AUTOMATICALLY FROM SOURCES
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-- Complain if script is sourced in psql, rather than via CREATE EXTENSION
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\echo Use "CREATE EXTENSION crankshaft" to load this file. \quit
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-- Version number of the extension release
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CREATE OR REPLACE FUNCTION cdb_crankshaft_version()
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RETURNS text AS $$
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SELECT '0.3.1'::text;
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$$ language 'sql' STABLE STRICT;
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-- Internal identifier of the installed extension instence
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-- e.g. 'dev' for current development version
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CREATE OR REPLACE FUNCTION _cdb_crankshaft_internal_version()
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RETURNS text AS $$
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SELECT installed_version FROM pg_available_extensions where name='crankshaft' and pg_available_extensions IS NOT NULL;
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$$ language 'sql' STABLE STRICT;
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-- Internal function.
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-- Set the seeds of the RNGs (Random Number Generators)
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-- used internally.
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CREATE OR REPLACE FUNCTION
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_cdb_random_seeds (seed_value INTEGER) RETURNS VOID
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AS $$
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from crankshaft import random_seeds
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random_seeds.set_random_seeds(seed_value)
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$$ LANGUAGE plpythonu;
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CREATE OR REPLACE FUNCTION
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CDB_PyAggS(current_state Numeric[], current_row Numeric[])
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returns NUMERIC[] as $$
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BEGIN
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if array_upper(current_state,1) is null then
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RAISE NOTICE 'setting state %',array_upper(current_row,1);
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current_state[1] = array_upper(current_row,1);
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end if;
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return array_cat(current_state,current_row) ;
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END
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$$ LANGUAGE plpgsql;
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-- Create aggregate if it did not exist
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DO $$
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BEGIN
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IF NOT EXISTS (
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SELECT *
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FROM pg_catalog.pg_proc p
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LEFT JOIN pg_catalog.pg_namespace n ON n.oid = p.pronamespace
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WHERE n.nspname = 'cdb_crankshaft'
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AND p.proname = 'cdb_pyagg'
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AND p.proisagg)
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THEN
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CREATE AGGREGATE CDB_PyAgg(NUMERIC[]) (
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SFUNC = CDB_PyAggS,
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STYPE = Numeric[],
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INITCOND = "{}"
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);
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END IF;
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END
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$$ LANGUAGE plpgsql;
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CREATE OR REPLACE FUNCTION
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CDB_CreateAndPredictSegment(
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target NUMERIC[],
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features NUMERIC[],
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target_features NUMERIC[],
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target_ids NUMERIC[],
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n_estimators INTEGER DEFAULT 1200,
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max_depth INTEGER DEFAULT 3,
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subsample DOUBLE PRECISION DEFAULT 0.5,
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learning_rate DOUBLE PRECISION DEFAULT 0.01,
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min_samples_leaf INTEGER DEFAULT 1)
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RETURNS TABLE(cartodb_id NUMERIC, prediction NUMERIC, accuracy NUMERIC)
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AS $$
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import numpy as np
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import plpy
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from crankshaft.segmentation import create_and_predict_segment_agg
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model_params = {'n_estimators': n_estimators,
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'max_depth': max_depth,
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'subsample': subsample,
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'learning_rate': learning_rate,
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'min_samples_leaf': min_samples_leaf}
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def unpack2D(data):
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dimension = data.pop(0)
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a = np.array(data, dtype=float)
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return a.reshape(len(a)/dimension, dimension)
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return create_and_predict_segment_agg(np.array(target, dtype=float),
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unpack2D(features),
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unpack2D(target_features),
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target_ids,
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model_params)
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$$ LANGUAGE plpythonu;
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CREATE OR REPLACE FUNCTION
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CDB_CreateAndPredictSegment (
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query TEXT,
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variable_name TEXT,
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target_table TEXT,
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n_estimators INTEGER DEFAULT 1200,
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max_depth INTEGER DEFAULT 3,
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subsample DOUBLE PRECISION DEFAULT 0.5,
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learning_rate DOUBLE PRECISION DEFAULT 0.01,
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min_samples_leaf INTEGER DEFAULT 1)
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RETURNS TABLE (cartodb_id TEXT, prediction NUMERIC, accuracy NUMERIC)
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AS $$
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from crankshaft.segmentation import create_and_predict_segment
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model_params = {'n_estimators': n_estimators, 'max_depth':max_depth, 'subsample' : subsample, 'learning_rate': learning_rate, 'min_samples_leaf' : min_samples_leaf}
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return create_and_predict_segment(query,variable_name,target_table, model_params)
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$$ LANGUAGE plpythonu;
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CREATE OR REPLACE FUNCTION CDB_Gravity(
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IN target_query text,
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IN weight_column text,
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IN source_query text,
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IN pop_column text,
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IN target bigint,
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IN radius integer,
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IN minval numeric DEFAULT -10e307
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)
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RETURNS TABLE(
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the_geom geometry,
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source_id bigint,
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target_id bigint,
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dist numeric,
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h numeric,
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hpop numeric) AS $$
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DECLARE
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t_id bigint[];
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t_geom geometry[];
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t_weight numeric[];
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s_id bigint[];
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s_geom geometry[];
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s_pop numeric[];
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BEGIN
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EXECUTE 'WITH foo as('+target_query+') SELECT array_agg(cartodb_id), array_agg(the_geom), array_agg(' || weight_column || ') FROM foo' INTO t_id, t_geom, t_weight;
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EXECUTE 'WITH foo as('+source_query+') SELECT array_agg(cartodb_id), array_agg(the_geom), array_agg(' || pop_column || ') FROM foo' INTO s_id, s_geom, s_pop;
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RETURN QUERY
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SELECT g.* FROM t, s, CDB_Gravity(t_id, t_geom, t_weight, s_id, s_geom, s_pop, target, radius, minval) g;
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END;
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$$ language plpgsql;
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CREATE OR REPLACE FUNCTION CDB_Gravity(
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IN t_id bigint[],
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IN t_geom geometry[],
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IN t_weight numeric[],
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IN s_id bigint[],
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IN s_geom geometry[],
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IN s_pop numeric[],
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IN target bigint,
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IN radius integer,
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IN minval numeric DEFAULT -10e307
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)
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RETURNS TABLE(
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the_geom geometry,
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source_id bigint,
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target_id bigint,
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dist numeric,
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h numeric,
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hpop numeric) AS $$
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DECLARE
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t_type text;
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s_type text;
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t_center geometry[];
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s_center geometry[];
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BEGIN
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t_type := GeometryType(t_geom[1]);
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s_type := GeometryType(s_geom[1]);
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IF t_type = 'POINT' THEN
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t_center := t_geom;
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ELSE
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WITH tmp as (SELECT unnest(t_geom) as g) SELECT array_agg(ST_Centroid(g)) INTO t_center FROM tmp;
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END IF;
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IF s_type = 'POINT' THEN
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s_center := s_geom;
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ELSE
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WITH tmp as (SELECT unnest(s_geom) as g) SELECT array_agg(ST_Centroid(g)) INTO s_center FROM tmp;
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END IF;
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RETURN QUERY
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with target0 as(
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SELECT unnest(t_center) as tc, unnest(t_weight) as tw, unnest(t_id) as td
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),
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source0 as(
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SELECT unnest(s_center) as sc, unnest(s_id) as sd, unnest (s_geom) as sg, unnest(s_pop) as sp
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),
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prev0 as(
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SELECT
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source0.sg,
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source0.sd as sourc_id,
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coalesce(source0.sp,0) as sp,
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target.td as targ_id,
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coalesce(target.tw,0) as tw,
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GREATEST(1.0,ST_Distance(geography(target.tc), geography(source0.sc)))::numeric as distance
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FROM source0
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CROSS JOIN LATERAL
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(
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SELECT
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*
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FROM target0
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WHERE tw > minval
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AND ST_DWithin(geography(source0.sc), geography(tc), radius)
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) AS target
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),
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deno as(
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SELECT
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sourc_id,
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sum(tw/distance) as h_deno
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FROM
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prev0
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GROUP BY sourc_id
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)
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SELECT
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p.sg as the_geom,
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p.sourc_id as source_id,
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p.targ_id as target_id,
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case when p.distance > 1 then p.distance else 0.0 end as dist,
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100*(p.tw/p.distance)/d.h_deno as h,
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p.sp*(p.tw/p.distance)/d.h_deno as hpop
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FROM
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prev0 p,
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deno d
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WHERE
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p.targ_id = target AND
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p.sourc_id = d.sourc_id;
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|
END;
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$$ language plpgsql;
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|
-- 0: nearest neighbor
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|
-- 1: barymetric
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|
-- 2: IDW
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|
|
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|
CREATE OR REPLACE FUNCTION CDB_SpatialInterpolation(
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|
IN query text,
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|
IN point geometry,
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|
IN method integer DEFAULT 1,
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|
IN p1 numeric DEFAULT 0,
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|||
|
IN p2 numeric DEFAULT 0
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|
)
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|
RETURNS numeric AS
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|
$$
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|
DECLARE
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|
gs geometry[];
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|
vs numeric[];
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output numeric;
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|
BEGIN
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|
EXECUTE 'WITH a AS('||query||') SELECT array_agg(the_geom), array_agg(attrib) FROM a' INTO gs, vs;
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SELECT CDB_SpatialInterpolation(gs, vs, point, method, p1,p2) INTO output FROM a;
|
|||
|
|
|||
|
RETURN output;
|
|||
|
END;
|
|||
|
$$
|
|||
|
language plpgsql IMMUTABLE;
|
|||
|
|
|||
|
CREATE OR REPLACE FUNCTION CDB_SpatialInterpolation(
|
|||
|
IN geomin geometry[],
|
|||
|
IN colin numeric[],
|
|||
|
IN point geometry,
|
|||
|
IN method integer DEFAULT 1,
|
|||
|
IN p1 numeric DEFAULT 0,
|
|||
|
IN p2 numeric DEFAULT 0
|
|||
|
)
|
|||
|
RETURNS numeric AS
|
|||
|
$$
|
|||
|
DECLARE
|
|||
|
gs geometry[];
|
|||
|
vs numeric[];
|
|||
|
gs2 geometry[];
|
|||
|
vs2 numeric[];
|
|||
|
g geometry;
|
|||
|
vertex geometry[];
|
|||
|
sg numeric;
|
|||
|
sa numeric;
|
|||
|
sb numeric;
|
|||
|
sc numeric;
|
|||
|
va numeric;
|
|||
|
vb numeric;
|
|||
|
vc numeric;
|
|||
|
output numeric;
|
|||
|
BEGIN
|
|||
|
output := -999.999;
|
|||
|
-- nearest
|
|||
|
IF method = 0 THEN
|
|||
|
|
|||
|
WITH a as (SELECT unnest(geomin) as g, unnest(colin) as v)
|
|||
|
SELECT a.v INTO output FROM a ORDER BY point<->a.g LIMIT 1;
|
|||
|
RETURN output;
|
|||
|
|
|||
|
-- barymetric
|
|||
|
ELSIF method = 1 THEN
|
|||
|
WITH a as (SELECT unnest(geomin) AS e),
|
|||
|
b as (SELECT ST_DelaunayTriangles(ST_Collect(a.e),0.001, 0) AS t FROM a),
|
|||
|
c as (SELECT (ST_Dump(t)).geom as v FROM b),
|
|||
|
d as (SELECT v FROM c WHERE ST_Within(point, v))
|
|||
|
SELECT v INTO g FROM d;
|
|||
|
IF g is null THEN
|
|||
|
-- out of the realm of the input data
|
|||
|
RETURN -888.888;
|
|||
|
END IF;
|
|||
|
-- vertex of the selected cell
|
|||
|
WITH a AS (SELECT (ST_DumpPoints(g)).geom AS v)
|
|||
|
SELECT array_agg(v) INTO vertex FROM a;
|
|||
|
|
|||
|
-- retrieve the value of each vertex
|
|||
|
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
|
|||
|
SELECT c INTO va FROM a WHERE ST_Equals(geo, vertex[1]);
|
|||
|
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
|
|||
|
SELECT c INTO vb FROM a WHERE ST_Equals(geo, vertex[2]);
|
|||
|
WITH a AS(SELECT unnest(geomin) as geo, unnest(colin) as c)
|
|||
|
SELECT c INTO vc FROM a WHERE ST_Equals(geo, vertex[3]);
|
|||
|
|
|||
|
SELECT ST_area(g), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[2], vertex[3], point]))), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point, vertex[1], vertex[3], point]))), ST_area(ST_MakePolygon(ST_MakeLine(ARRAY[point,vertex[1],vertex[2], point]))) INTO sg, sa, sb, sc;
|
|||
|
|
|||
|
output := (coalesce(sa,0) * coalesce(va,0) + coalesce(sb,0) * coalesce(vb,0) + coalesce(sc,0) * coalesce(vc,0)) / coalesce(sg);
|
|||
|
RETURN output;
|
|||
|
|
|||
|
-- IDW
|
|||
|
-- p1: limit the number of neighbors, 0->no limit
|
|||
|
-- p2: order of distance decay, 0-> order 1
|
|||
|
ELSIF method = 2 THEN
|
|||
|
|
|||
|
IF p2 = 0 THEN
|
|||
|
p2 := 1;
|
|||
|
END IF;
|
|||
|
|
|||
|
WITH a as (SELECT unnest(geomin) as g, unnest(colin) as v),
|
|||
|
b as (SELECT a.g, a.v FROM a ORDER BY point<->a.g)
|
|||
|
SELECT array_agg(b.g), array_agg(b.v) INTO gs, vs FROM b;
|
|||
|
IF p1::integer>0 THEN
|
|||
|
gs2:=gs;
|
|||
|
vs2:=vs;
|
|||
|
FOR i IN 1..p1
|
|||
|
LOOP
|
|||
|
gs2 := gs2 || gs[i];
|
|||
|
vs2 := vs2 || vs[i];
|
|||
|
END LOOP;
|
|||
|
ELSE
|
|||
|
gs2:=gs;
|
|||
|
vs2:=vs;
|
|||
|
END IF;
|
|||
|
|
|||
|
WITH a as (SELECT unnest(gs2) as g, unnest(vs2) as v),
|
|||
|
b as (
|
|||
|
SELECT
|
|||
|
(1/ST_distance(point, a.g)^p2::integer) as k,
|
|||
|
(a.v/ST_distance(point, a.g)^p2::integer) as f
|
|||
|
FROM a
|
|||
|
)
|
|||
|
SELECT sum(b.f)/sum(b.k) INTO output FROM b;
|
|||
|
RETURN output;
|
|||
|
|
|||
|
END IF;
|
|||
|
|
|||
|
RETURN -777.777;
|
|||
|
|
|||
|
END;
|
|||
|
$$
|
|||
|
language plpgsql IMMUTABLE;
|
|||
|
-- =============================================================================================
|
|||
|
--
|
|||
|
-- CDB_Voronoi
|
|||
|
--
|
|||
|
-- =============================================================================================
|
|||
|
CREATE OR REPLACE FUNCTION CDB_voronoi(
|
|||
|
IN geomin geometry[],
|
|||
|
IN buffer numeric DEFAULT 0.5,
|
|||
|
IN tolerance numeric DEFAULT 1e-9
|
|||
|
)
|
|||
|
RETURNS geometry AS $$
|
|||
|
DECLARE
|
|||
|
geomout geometry;
|
|||
|
BEGIN
|
|||
|
-- we need to make the geometry calculations in (pseudo)meters!!!
|
|||
|
with a as (
|
|||
|
SELECT unnest(geomin) as g1
|
|||
|
),
|
|||
|
b as(
|
|||
|
SELECT st_transform(g1, 3857) g2 from a
|
|||
|
)
|
|||
|
SELECT array_agg(g2) INTO geomin from b;
|
|||
|
|
|||
|
WITH
|
|||
|
convexhull_1 as (
|
|||
|
SELECT
|
|||
|
ST_ConvexHull(ST_Collect(geomin)) as g,
|
|||
|
buffer * |/ st_area(ST_ConvexHull(ST_Collect(geomin))) as r
|
|||
|
),
|
|||
|
clipper as(
|
|||
|
SELECT
|
|||
|
st_buffer(ST_MinimumBoundingCircle(a.g), buffer*a.r) as g
|
|||
|
FROM convexhull_1 a
|
|||
|
),
|
|||
|
env0 as (
|
|||
|
SELECT
|
|||
|
(st_dumppoints(st_expand(a.g, buffer*a.r))).geom as e
|
|||
|
FROM convexhull_1 a
|
|||
|
),
|
|||
|
env as (
|
|||
|
SELECT
|
|||
|
array_agg(env0.e) as e
|
|||
|
FROM env0
|
|||
|
),
|
|||
|
sample AS (
|
|||
|
SELECT
|
|||
|
ST_Collect(geomin || env.e) as geom
|
|||
|
FROM env
|
|||
|
),
|
|||
|
convexhull as (
|
|||
|
SELECT
|
|||
|
ST_ConvexHull(ST_Collect(geomin)) as cg
|
|||
|
),
|
|||
|
tin as (
|
|||
|
SELECT
|
|||
|
ST_Dump(ST_DelaunayTriangles(geom, tolerance, 0)) as gd
|
|||
|
FROM
|
|||
|
sample
|
|||
|
),
|
|||
|
tin_polygons as (
|
|||
|
SELECT
|
|||
|
(gd).Path as id,
|
|||
|
(gd).Geom as pg,
|
|||
|
ST_Centroid(ST_MinimumBoundingCircle((gd).Geom, 180)) as ct
|
|||
|
FROM tin
|
|||
|
),
|
|||
|
tin_lines as (
|
|||
|
SELECT
|
|||
|
id,
|
|||
|
ST_ExteriorRing(pg) as lg
|
|||
|
FROM tin_polygons
|
|||
|
),
|
|||
|
tin_nodes as (
|
|||
|
SELECT
|
|||
|
id,
|
|||
|
ST_PointN(lg,1) p1,
|
|||
|
ST_PointN(lg,2) p2,
|
|||
|
ST_PointN(lg,3) p3
|
|||
|
FROM tin_lines
|
|||
|
),
|
|||
|
tin_edges AS (
|
|||
|
SELECT
|
|||
|
p.id,
|
|||
|
UNNEST(ARRAY[
|
|||
|
ST_MakeLine(n.p1,n.p2) ,
|
|||
|
ST_MakeLine(n.p2,n.p3) ,
|
|||
|
ST_MakeLine(n.p3,n.p1)]) as Edge,
|
|||
|
ST_Force2D(cdb_crankshaft._Find_Circle(n.p1,n.p2,n.p3)) as ct,
|
|||
|
CASE WHEN st_distance(p.ct, ST_ExteriorRing(p.pg)) < tolerance THEN
|
|||
|
TRUE
|
|||
|
ELSE FALSE END AS ctx,
|
|||
|
p.pg,
|
|||
|
ST_within(p.ct, convexhull.cg) as ctin
|
|||
|
FROM
|
|||
|
tin_polygons p,
|
|||
|
tin_nodes n,
|
|||
|
convexhull
|
|||
|
WHERE p.id = n.id
|
|||
|
),
|
|||
|
voro_nodes as (
|
|||
|
SELECT
|
|||
|
CASE WHEN x.ctx = TRUE THEN
|
|||
|
ST_Centroid(x.edge)
|
|||
|
ELSE
|
|||
|
x.ct
|
|||
|
END as xct,
|
|||
|
CASE WHEN y.id is null THEN
|
|||
|
CASE WHEN x.ctin = TRUE THEN
|
|||
|
ST_SetSRID(ST_MakePoint(
|
|||
|
ST_X(x.ct) + ((ST_X(ST_Centroid(x.edge)) - ST_X(x.ct)) * (1+buffer)),
|
|||
|
ST_Y(x.ct) + ((ST_Y(ST_Centroid(x.edge)) - ST_Y(x.ct)) * (1+buffer))
|
|||
|
), ST_SRID(x.ct))
|
|||
|
END
|
|||
|
ELSE
|
|||
|
y.ct
|
|||
|
END as yct
|
|||
|
FROM
|
|||
|
tin_edges x
|
|||
|
LEFT OUTER JOIN
|
|||
|
tin_edges y
|
|||
|
ON x.id <> y.id AND ST_Equals(x.edge, y.edge)
|
|||
|
),
|
|||
|
voro_edges as(
|
|||
|
SELECT
|
|||
|
ST_LineMerge(ST_Collect(ST_MakeLine(xct, yct))) as v
|
|||
|
FROM
|
|||
|
voro_nodes
|
|||
|
),
|
|||
|
voro_cells as(
|
|||
|
SELECT
|
|||
|
ST_Polygonize(
|
|||
|
ST_Node(
|
|||
|
ST_LineMerge(
|
|||
|
ST_Union(v, ST_ExteriorRing(
|
|||
|
ST_Convexhull(v)
|
|||
|
)
|
|||
|
)
|
|||
|
)
|
|||
|
)
|
|||
|
) as g
|
|||
|
FROM
|
|||
|
voro_edges
|
|||
|
),
|
|||
|
voro_set as(
|
|||
|
SELECT
|
|||
|
(st_dump(v.g)).geom as g
|
|||
|
FROM voro_cells v
|
|||
|
)
|
|||
|
SELECT
|
|||
|
st_collect(
|
|||
|
ST_Transform(ST_intersection(c.g, v.g), 4326)
|
|||
|
)
|
|||
|
INTO geomout
|
|||
|
FROM
|
|||
|
voro_set v,
|
|||
|
clipper c;
|
|||
|
RETURN geomout;
|
|||
|
END;
|
|||
|
$$ language plpgsql IMMUTABLE;
|
|||
|
|
|||
|
/** ----------------------------------------------------------------------------------------
|
|||
|
* @function : FindCircle
|
|||
|
* @precis : Function that determines if three points form a circle. If so a table containing
|
|||
|
* centre and radius is returned. If not, a null table is returned.
|
|||
|
* @version : 1.0.1
|
|||
|
* @param : p_pt1 : First point in curve
|
|||
|
* @param : p_pt2 : Second point in curve
|
|||
|
* @param : p_pt3 : Third point in curve
|
|||
|
* @return : geometry : In which X,Y ordinates are the centre X, Y and the Z being the radius of found circle
|
|||
|
* or NULL if three points do not form a circle.
|
|||
|
* @history : Simon Greener - Feb 2012 - Original coding.
|
|||
|
* Rafa de la Torre - Aug 2016 - Small fix for type checking
|
|||
|
* @copyright : Simon Greener @ 2012
|
|||
|
* Licensed under a Creative Commons Attribution-Share Alike 2.5 Australia License. (http://creativecommons.org/licenses/by-sa/2.5/au/)
|
|||
|
**/
|
|||
|
CREATE OR REPLACE FUNCTION _Find_Circle(
|
|||
|
IN p_pt1 geometry,
|
|||
|
IN p_pt2 geometry,
|
|||
|
IN p_pt3 geometry)
|
|||
|
RETURNS geometry AS
|
|||
|
$BODY$
|
|||
|
DECLARE
|
|||
|
v_Centre geometry;
|
|||
|
v_radius NUMERIC;
|
|||
|
v_CX NUMERIC;
|
|||
|
v_CY NUMERIC;
|
|||
|
v_dA NUMERIC;
|
|||
|
v_dB NUMERIC;
|
|||
|
v_dC NUMERIC;
|
|||
|
v_dD NUMERIC;
|
|||
|
v_dE NUMERIC;
|
|||
|
v_dF NUMERIC;
|
|||
|
v_dG NUMERIC;
|
|||
|
BEGIN
|
|||
|
IF ( p_pt1 IS NULL OR p_pt2 IS NULL OR p_pt3 IS NULL ) THEN
|
|||
|
RAISE EXCEPTION 'All supplied points must be not null.';
|
|||
|
RETURN NULL;
|
|||
|
END IF;
|
|||
|
IF ( ST_GeometryType(p_pt1) <> 'ST_Point' OR
|
|||
|
ST_GeometryType(p_pt2) <> 'ST_Point' OR
|
|||
|
ST_GeometryType(p_pt3) <> 'ST_Point' ) THEN
|
|||
|
RAISE EXCEPTION 'All supplied geometries must be points.';
|
|||
|
RETURN NULL;
|
|||
|
END IF;
|
|||
|
v_dA := ST_X(p_pt2) - ST_X(p_pt1);
|
|||
|
v_dB := ST_Y(p_pt2) - ST_Y(p_pt1);
|
|||
|
v_dC := ST_X(p_pt3) - ST_X(p_pt1);
|
|||
|
v_dD := ST_Y(p_pt3) - ST_Y(p_pt1);
|
|||
|
v_dE := v_dA * (ST_X(p_pt1) + ST_X(p_pt2)) + v_dB * (ST_Y(p_pt1) + ST_Y(p_pt2));
|
|||
|
v_dF := v_dC * (ST_X(p_pt1) + ST_X(p_pt3)) + v_dD * (ST_Y(p_pt1) + ST_Y(p_pt3));
|
|||
|
v_dG := 2.0 * (v_dA * (ST_Y(p_pt3) - ST_Y(p_pt2)) - v_dB * (ST_X(p_pt3) - ST_X(p_pt2)));
|
|||
|
-- If v_dG is zero then the three points are collinear and no finite-radius
|
|||
|
-- circle through them exists.
|
|||
|
IF ( v_dG = 0 ) THEN
|
|||
|
RETURN NULL;
|
|||
|
ELSE
|
|||
|
v_CX := (v_dD * v_dE - v_dB * v_dF) / v_dG;
|
|||
|
v_CY := (v_dA * v_dF - v_dC * v_dE) / v_dG;
|
|||
|
v_Radius := SQRT(POWER(ST_X(p_pt1) - v_CX,2) + POWER(ST_Y(p_pt1) - v_CY,2) );
|
|||
|
END IF;
|
|||
|
RETURN ST_SetSRID(ST_MakePoint(v_CX, v_CY, v_radius),ST_Srid(p_pt1));
|
|||
|
END;
|
|||
|
$BODY$
|
|||
|
LANGUAGE plpgsql VOLATILE STRICT;
|
|||
|
|
|||
|
-- Moran's I Global Measure (public-facing)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_AreasOfInterestGlobal(
|
|||
|
subquery TEXT,
|
|||
|
column_name TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran NUMERIC, significance NUMERIC)
|
|||
|
AS $$
|
|||
|
from crankshaft.clustering import moran_local
|
|||
|
# TODO: use named parameters or a dictionary
|
|||
|
return moran(subquery, column_name, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
$$ LANGUAGE plpythonu;
|
|||
|
|
|||
|
-- Moran's I Local (internal function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
_CDB_AreasOfInterestLocal(
|
|||
|
subquery TEXT,
|
|||
|
column_name TEXT,
|
|||
|
w_type TEXT,
|
|||
|
num_ngbrs INT,
|
|||
|
permutations INT,
|
|||
|
geom_col TEXT,
|
|||
|
id_col TEXT)
|
|||
|
RETURNS TABLE (moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
from crankshaft.clustering import moran_local
|
|||
|
# TODO: use named parameters or a dictionary
|
|||
|
return moran_local(subquery, column_name, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
$$ LANGUAGE plpythonu;
|
|||
|
|
|||
|
-- Moran's I Local (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_AreasOfInterestLocal(
|
|||
|
subquery TEXT,
|
|||
|
column_name TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocal(subquery, column_name, w_type, num_ngbrs, permutations, geom_col, id_col);
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I only for HH and HL (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialHotspots(
|
|||
|
subquery TEXT,
|
|||
|
column_name TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocal(subquery, column_name, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('HH', 'HL');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I only for LL and LH (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialColdspots(
|
|||
|
subquery TEXT,
|
|||
|
attr TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocal(subquery, attr, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('LL', 'LH');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I only for LH and HL (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialOutliers(
|
|||
|
subquery TEXT,
|
|||
|
attr TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocal(subquery, attr, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('HL', 'LH');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I Global Rate (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_AreasOfInterestGlobalRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (moran FLOAT, significance FLOAT)
|
|||
|
AS $$
|
|||
|
from crankshaft.clustering import moran_local
|
|||
|
# TODO: use named parameters or a dictionary
|
|||
|
return moran_rate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
$$ LANGUAGE plpythonu;
|
|||
|
|
|||
|
|
|||
|
-- Moran's I Local Rate (internal function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
_CDB_AreasOfInterestLocalRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT,
|
|||
|
num_ngbrs INT,
|
|||
|
permutations INT,
|
|||
|
geom_col TEXT,
|
|||
|
id_col TEXT)
|
|||
|
RETURNS
|
|||
|
TABLE(moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
from crankshaft.clustering import moran_local_rate
|
|||
|
# TODO: use named parameters or a dictionary
|
|||
|
return moran_local_rate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
$$ LANGUAGE plpythonu;
|
|||
|
|
|||
|
-- Moran's I Local Rate (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_AreasOfInterestLocalRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS
|
|||
|
TABLE(moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocalRate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col);
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I Local Rate only for HH and HL (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialHotspotsRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS
|
|||
|
TABLE(moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocalRate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('HH', 'HL');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I Local Rate only for LL and LH (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialColdspotsRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS
|
|||
|
TABLE(moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocalRate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('LL', 'LH');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
|
|||
|
-- Moran's I Local Rate only for LH and HL (public-facing function)
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_GetSpatialOutliersRate(
|
|||
|
subquery TEXT,
|
|||
|
numerator TEXT,
|
|||
|
denominator TEXT,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS
|
|||
|
TABLE(moran NUMERIC, quads TEXT, significance NUMERIC, rowid INT, vals NUMERIC)
|
|||
|
AS $$
|
|||
|
|
|||
|
SELECT moran, quads, significance, rowid, vals
|
|||
|
FROM cdb_crankshaft._CDB_AreasOfInterestLocalRate(subquery, numerator, denominator, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
WHERE quads IN ('HL', 'LH');
|
|||
|
|
|||
|
$$ LANGUAGE SQL;
|
|||
|
CREATE OR REPLACE FUNCTION CDB_KMeans(query text, no_clusters integer,no_init integer default 20)
|
|||
|
RETURNS table (cartodb_id integer, cluster_no integer) as $$
|
|||
|
|
|||
|
from crankshaft.clustering import kmeans
|
|||
|
return kmeans(query,no_clusters,no_init)
|
|||
|
|
|||
|
$$ language plpythonu;
|
|||
|
|
|||
|
|
|||
|
CREATE OR REPLACE FUNCTION CDB_WeightedMeanS(state Numeric[],the_geom GEOMETRY(Point, 4326), weight NUMERIC)
|
|||
|
RETURNS Numeric[] AS
|
|||
|
$$
|
|||
|
DECLARE
|
|||
|
newX NUMERIC;
|
|||
|
newY NUMERIC;
|
|||
|
newW NUMERIC;
|
|||
|
BEGIN
|
|||
|
IF weight IS NULL OR the_geom IS NULL THEN
|
|||
|
newX = state[1];
|
|||
|
newY = state[2];
|
|||
|
newW = state[3];
|
|||
|
ELSE
|
|||
|
newX = state[1] + ST_X(the_geom)*weight;
|
|||
|
newY = state[2] + ST_Y(the_geom)*weight;
|
|||
|
newW = state[3] + weight;
|
|||
|
END IF;
|
|||
|
RETURN Array[newX,newY,newW];
|
|||
|
|
|||
|
END
|
|||
|
$$ LANGUAGE plpgsql;
|
|||
|
|
|||
|
CREATE OR REPLACE FUNCTION CDB_WeightedMeanF(state Numeric[])
|
|||
|
RETURNS GEOMETRY AS
|
|||
|
$$
|
|||
|
BEGIN
|
|||
|
IF state[3] = 0 THEN
|
|||
|
RETURN ST_SetSRID(ST_MakePoint(state[1],state[2]), 4326);
|
|||
|
ELSE
|
|||
|
RETURN ST_SETSRID(ST_MakePoint(state[1]/state[3], state[2]/state[3]),4326);
|
|||
|
END IF;
|
|||
|
END
|
|||
|
$$ LANGUAGE plpgsql;
|
|||
|
|
|||
|
-- Create aggregate if it did not exist
|
|||
|
DO $$
|
|||
|
BEGIN
|
|||
|
IF NOT EXISTS (
|
|||
|
SELECT *
|
|||
|
FROM pg_catalog.pg_proc p
|
|||
|
LEFT JOIN pg_catalog.pg_namespace n ON n.oid = p.pronamespace
|
|||
|
WHERE n.nspname = 'cdb_crankshaft'
|
|||
|
AND p.proname = 'cdb_weightedmean'
|
|||
|
AND p.proisagg)
|
|||
|
THEN
|
|||
|
CREATE AGGREGATE CDB_WeightedMean(geometry(Point, 4326), NUMERIC) (
|
|||
|
SFUNC = CDB_WeightedMeanS,
|
|||
|
FINALFUNC = CDB_WeightedMeanF,
|
|||
|
STYPE = Numeric[],
|
|||
|
INITCOND = "{0.0,0.0,0.0}"
|
|||
|
);
|
|||
|
END IF;
|
|||
|
END
|
|||
|
$$ LANGUAGE plpgsql;
|
|||
|
-- Spatial Markov
|
|||
|
|
|||
|
-- input table format:
|
|||
|
-- id | geom | date_1 | date_2 | date_3
|
|||
|
-- 1 | Pt1 | 12.3 | 13.1 | 14.2
|
|||
|
-- 2 | Pt2 | 11.0 | 13.2 | 12.5
|
|||
|
-- ...
|
|||
|
-- Sample Function call:
|
|||
|
-- SELECT CDB_SpatialMarkov('SELECT * FROM real_estate',
|
|||
|
-- Array['date_1', 'date_2', 'date_3'])
|
|||
|
|
|||
|
CREATE OR REPLACE FUNCTION
|
|||
|
CDB_SpatialMarkovTrend (
|
|||
|
subquery TEXT,
|
|||
|
time_cols TEXT[],
|
|||
|
num_classes INT DEFAULT 7,
|
|||
|
w_type TEXT DEFAULT 'knn',
|
|||
|
num_ngbrs INT DEFAULT 5,
|
|||
|
permutations INT DEFAULT 99,
|
|||
|
geom_col TEXT DEFAULT 'the_geom',
|
|||
|
id_col TEXT DEFAULT 'cartodb_id')
|
|||
|
RETURNS TABLE (trend NUMERIC, trend_up NUMERIC, trend_down NUMERIC, volatility NUMERIC, rowid INT)
|
|||
|
AS $$
|
|||
|
|
|||
|
from crankshaft.space_time_dynamics import spatial_markov_trend
|
|||
|
|
|||
|
## TODO: use named parameters or a dictionary
|
|||
|
return spatial_markov_trend(subquery, time_cols, num_classes, w_type, num_ngbrs, permutations, geom_col, id_col)
|
|||
|
$$ LANGUAGE plpythonu;
|
|||
|
|
|||
|
-- input table format: identical to above but in a predictable format
|
|||
|
-- Sample function call:
|
|||
|
-- SELECT cdb_spatial_markov('SELECT * FROM real_estate',
|
|||
|
-- 'date_1')
|
|||
|
|
|||
|
|
|||
|
-- CREATE OR REPLACE FUNCTION
|
|||
|
-- cdb_spatial_markov (
|
|||
|
-- subquery TEXT,
|
|||
|
-- time_col_min text,
|
|||
|
-- time_col_max text,
|
|||
|
-- date_format text, -- '_YYYY_MM_DD'
|
|||
|
-- num_time_per_bin INT DEFAULT 1,
|
|||
|
-- permutations INT DEFAULT 99,
|
|||
|
-- geom_column TEXT DEFAULT 'the_geom',
|
|||
|
-- id_col TEXT DEFAULT 'cartodb_id',
|
|||
|
-- w_type TEXT DEFAULT 'knn',
|
|||
|
-- num_ngbrs int DEFAULT 5)
|
|||
|
-- RETURNS TABLE (moran FLOAT, quads TEXT, significance FLOAT, ids INT)
|
|||
|
-- AS $$
|
|||
|
-- plpy.execute('SELECT cdb_crankshaft._cdb_crankshaft_activate_py()')
|
|||
|
-- from crankshaft.clustering import moran_local
|
|||
|
-- # TODO: use named parameters or a dictionary
|
|||
|
-- return spatial_markov(subquery, time_cols, permutations, geom_column, id_col, w_type, num_ngbrs)
|
|||
|
-- $$ LANGUAGE plpythonu;
|
|||
|
--
|
|||
|
-- -- input table format:
|
|||
|
-- -- id | geom | date | measurement
|
|||
|
-- -- 1 | Pt1 | 12/3 | 13.2
|
|||
|
-- -- 2 | Pt2 | 11/5 | 11.3
|
|||
|
-- -- 3 | Pt1 | 11/13 | 12.9
|
|||
|
-- -- 4 | Pt3 | 12/19 | 10.1
|
|||
|
-- -- ...
|
|||
|
--
|
|||
|
-- CREATE OR REPLACE FUNCTION
|
|||
|
-- cdb_spatial_markov (
|
|||
|
-- subquery TEXT,
|
|||
|
-- time_col text,
|
|||
|
-- num_time_per_bin INT DEFAULT 1,
|
|||
|
-- permutations INT DEFAULT 99,
|
|||
|
-- geom_column TEXT DEFAULT 'the_geom',
|
|||
|
-- id_col TEXT DEFAULT 'cartodb_id',
|
|||
|
-- w_type TEXT DEFAULT 'knn',
|
|||
|
-- num_ngbrs int DEFAULT 5)
|
|||
|
-- RETURNS TABLE (moran FLOAT, quads TEXT, significance FLOAT, ids INT)
|
|||
|
-- AS $$
|
|||
|
-- plpy.execute('SELECT cdb_crankshaft._cdb_crankshaft_activate_py()')
|
|||
|
-- from crankshaft.clustering import moran_local
|
|||
|
-- # TODO: use named parameters or a dictionary
|
|||
|
-- return spatial_markov(subquery, time_cols, permutations, geom_column, id_col, w_type, num_ngbrs)
|
|||
|
-- $$ LANGUAGE plpythonu;
|
|||
|
-- Function by Stuart Lynn for a simple interpolation of a value
|
|||
|
-- from a polygon table over an arbitrary polygon
|
|||
|
-- (weighted by the area proportion overlapped)
|
|||
|
-- Aereal weighting is a very simple form of aereal interpolation.
|
|||
|
--
|
|||
|
-- Parameters:
|
|||
|
-- * geom a Polygon geometry which defines the area where a value will be
|
|||
|
-- estimated as the area-weighted sum of a given table/column
|
|||
|
-- * target_table_name table name of the table that provides the values
|
|||
|
-- * target_column column name of the column that provides the values
|
|||
|
-- * schema_name optional parameter to defina the schema the target table
|
|||
|
-- belongs to, which is necessary if its not in the search_path.
|
|||
|
-- Note that target_table_name should never include the schema in it.
|
|||
|
-- Return value:
|
|||
|
-- Aereal-weighted interpolation of the column values over the geometry
|
|||
|
CREATE OR REPLACE
|
|||
|
FUNCTION cdb_overlap_sum(geom geometry, target_table_name text, target_column text, schema_name text DEFAULT NULL)
|
|||
|
RETURNS numeric AS
|
|||
|
$$
|
|||
|
DECLARE
|
|||
|
result numeric;
|
|||
|
qualified_name text;
|
|||
|
BEGIN
|
|||
|
IF schema_name IS NULL THEN
|
|||
|
qualified_name := Format('%I', target_table_name);
|
|||
|
ELSE
|
|||
|
qualified_name := Format('%I.%s', schema_name, target_table_name);
|
|||
|
END IF;
|
|||
|
EXECUTE Format('
|
|||
|
SELECT sum(%I*ST_Area(St_Intersection($1, a.the_geom))/ST_Area(a.the_geom))
|
|||
|
FROM %s AS a
|
|||
|
WHERE $1 && a.the_geom
|
|||
|
', target_column, qualified_name)
|
|||
|
USING geom
|
|||
|
INTO result;
|
|||
|
RETURN result;
|
|||
|
END;
|
|||
|
$$ LANGUAGE plpgsql;
|
|||
|
--
|
|||
|
-- Creates N points randomly distributed arround the polygon
|
|||
|
--
|
|||
|
-- @param g - the geometry to be turned in to points
|
|||
|
--
|
|||
|
-- @param no_points - the number of points to generate
|
|||
|
--
|
|||
|
-- @params max_iter_per_point - the function generates points in the polygon's bounding box
|
|||
|
-- and discards points which don't lie in the polygon. max_iter_per_point specifies how many
|
|||
|
-- misses per point the funciton accepts before giving up.
|
|||
|
--
|
|||
|
-- Returns: Multipoint with the requested points
|
|||
|
CREATE OR REPLACE FUNCTION cdb_dot_density(geom geometry , no_points Integer, max_iter_per_point Integer DEFAULT 1000)
|
|||
|
RETURNS GEOMETRY AS $$
|
|||
|
DECLARE
|
|||
|
extent GEOMETRY;
|
|||
|
test_point Geometry;
|
|||
|
width NUMERIC;
|
|||
|
height NUMERIC;
|
|||
|
x0 NUMERIC;
|
|||
|
y0 NUMERIC;
|
|||
|
xp NUMERIC;
|
|||
|
yp NUMERIC;
|
|||
|
no_left INTEGER;
|
|||
|
remaining_iterations INTEGER;
|
|||
|
points GEOMETRY[];
|
|||
|
bbox_line GEOMETRY;
|
|||
|
intersection_line GEOMETRY;
|
|||
|
BEGIN
|
|||
|
extent := ST_Envelope(geom);
|
|||
|
width := ST_XMax(extent) - ST_XMIN(extent);
|
|||
|
height := ST_YMax(extent) - ST_YMIN(extent);
|
|||
|
x0 := ST_XMin(extent);
|
|||
|
y0 := ST_YMin(extent);
|
|||
|
no_left := no_points;
|
|||
|
|
|||
|
LOOP
|
|||
|
if(no_left=0) THEN
|
|||
|
EXIT;
|
|||
|
END IF;
|
|||
|
yp = y0 + height*random();
|
|||
|
bbox_line = ST_MakeLine(
|
|||
|
ST_SetSRID(ST_MakePoint(yp, x0),4326),
|
|||
|
ST_SetSRID(ST_MakePoint(yp, x0+width),4326)
|
|||
|
);
|
|||
|
intersection_line = ST_Intersection(bbox_line,geom);
|
|||
|
test_point = ST_LineInterpolatePoint(st_makeline(st_linemerge(intersection_line)),random());
|
|||
|
points := points || test_point;
|
|||
|
no_left = no_left - 1 ;
|
|||
|
END LOOP;
|
|||
|
RETURN ST_Collect(points);
|
|||
|
END;
|
|||
|
$$
|
|||
|
LANGUAGE plpgsql VOLATILE;
|
|||
|
-- Make sure by default there are no permissions for publicuser
|
|||
|
-- NOTE: this happens at extension creation time, as part of an implicit transaction.
|
|||
|
-- REVOKE ALL PRIVILEGES ON SCHEMA cdb_crankshaft FROM PUBLIC, publicuser CASCADE;
|
|||
|
|
|||
|
-- Grant permissions on the schema to publicuser (but just the schema)
|
|||
|
GRANT USAGE ON SCHEMA cdb_crankshaft TO publicuser;
|
|||
|
|
|||
|
-- Revoke execute permissions on all functions in the schema by default
|
|||
|
-- REVOKE EXECUTE ON ALL FUNCTIONS IN SCHEMA cdb_crankshaft FROM PUBLIC, publicuser;
|