split bendattrs to bends and attrs

main
Motiejus Jakštys 2021-05-19 22:57:49 +03:00 committed by Motiejus Jakštys
parent 1a4be957e3
commit 63bde6c7f5
3 changed files with 84 additions and 130 deletions

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@ -19,8 +19,7 @@ begin
st_translate(center, -halfX, -halfY) st_translate(center, -halfX, -halfY)
) )
); );
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_quadrant divides the given geometry to 4 rectangles -- wm_quadrant divides the given geometry to 4 rectangles
-- and returns the requested quadrant following cartesian -- and returns the requested quadrant following cartesian

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@ -8,7 +8,7 @@ begin
else else
raise exception 'Assertion Error. Expected <%> but was <%>', expected, actual; raise exception 'Assertion Error. Expected <%> but was <%>', expected, actual;
end if; end if;
end $$ LANGUAGE plpgsql; end $$ language plpgsql;
drop function if exists dbg_geomsummary; drop function if exists dbg_geomsummary;
create function dbg_geomsummary(geoms geometry[]) returns void as $$ create function dbg_geomsummary(geoms geometry[]) returns void as $$

209
wm.sql
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@ -89,8 +89,7 @@ begin
'bbends-polygon', dbgname, dbggen, i, dbgpolygon); 'bbends-polygon', dbgname, dbggen, i, dbgpolygon);
end loop; end loop;
end if; end if;
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_fix_gentle_inflections moves bend endpoints following "Gentle Inflection -- wm_fix_gentle_inflections moves bend endpoints following "Gentle Inflection
-- at End of a Bend" section. -- at End of a Bend" section.
@ -141,8 +140,7 @@ begin
'cinflections-polygon', dbgname, dbggen, i, dbgpolygon); 'cinflections-polygon', dbgname, dbggen, i, dbgpolygon);
end loop; end loop;
end if; end if;
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_fix_gentle_inflections1 fixes gentle inflections of an array of lines in -- wm_fix_gentle_inflections1 fixes gentle inflections of an array of lines in
-- one direction. An implementation detail of wm_fix_gentle_inflections. -- one direction. An implementation detail of wm_fix_gentle_inflections.
@ -204,8 +202,7 @@ begin
end loop; end loop;
end loop; end loop;
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_if_selfcross returns whether baseline of bendi crosses bendj. -- wm_if_selfcross returns whether baseline of bendi crosses bendj.
-- If it doesn't, returns a null geometry. -- If it doesn't, returns a null geometry.
@ -235,9 +232,7 @@ begin
end if; end if;
return multi; return multi;
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_self_crossing eliminates self-crossing from the bends, following the -- wm_self_crossing eliminates self-crossing from the bends, following the
-- article's section "Self-line Crossing When Cutting a Bend". -- article's section "Self-line Crossing When Cutting a Bend".
@ -305,8 +300,7 @@ begin
unnest(bends) unnest(bends)
); );
end if; end if;
end end $$ language plpgsql;
$$ language plpgsql;
drop function if exists wm_inflection_angle; drop function if exists wm_inflection_angle;
create function wm_inflection_angle (IN bend geometry, OUT angle real) as $$ create function wm_inflection_angle (IN bend geometry, OUT angle real) as $$
@ -324,17 +318,15 @@ begin
continue when p3 is null; continue when p3 is null;
angle = angle + abs(pi() - st_angle(p1, p2, p3)); angle = angle + abs(pi() - st_angle(p1, p2, p3));
end loop; end loop;
end end $$ language plpgsql;
$$ language plpgsql;
drop function if exists wm_bend_attrs; drop function if exists wm_bend_attrs;
drop function if exists wm_isolated_bends; drop function if exists wm_isolated_bends;
drop function if exists wm_elimination; drop function if exists wm_elimination;
drop function if exists wm_exaggeration; drop function if exists wm_exaggeration;
drop function if exists wm_st_intersects_neighbors; drop function if exists wm_st_intersects_neighbors;
drop type if exists wm_t_bend_attrs; drop type if exists wm_t_attrs;
create type wm_t_bend_attrs as ( create type wm_t_attrs as (
bend geometry,
area real, area real,
adjsize real, adjsize real,
baselinelength real, baselinelength real,
@ -345,18 +337,17 @@ create function wm_bend_attrs(
bends geometry[], bends geometry[],
dbgname text default null, dbgname text default null,
dbggen integer default null dbggen integer default null
) returns setof wm_t_bend_attrs as $$ ) returns setof wm_t_attrs as $$
declare declare
cmp float; cmp float;
i int4; i int4;
polygon geometry; polygon geometry;
bend geometry; bend geometry;
res wm_t_bend_attrs; res wm_t_attrs;
begin begin
for i in 1..array_length(bends, 1) loop for i in 1..array_length(bends, 1) loop
bend = bends[i]; bend = bends[i];
res = null; res = null;
res.bend = bend;
res.adjsize = 0; res.adjsize = 0;
res.baselinelength = st_distance(st_startpoint(bend), st_endpoint(bend)); res.baselinelength = st_distance(st_startpoint(bend), st_endpoint(bend));
res.curvature = wm_inflection_angle(bend) / st_length(bend); res.curvature = wm_inflection_angle(bend) / st_length(bend);
@ -377,8 +368,7 @@ begin
end if; end if;
return next res; return next res;
end loop; end loop;
end; end $$ language plpgsql;
$$ language plpgsql;
-- sm_st_split a line by a point in a more robust way than st_split. -- sm_st_split a line by a point in a more robust way than st_split.
-- See https://trac.osgeo.org/postgis/ticket/2192 -- See https://trac.osgeo.org/postgis/ticket/2192
@ -439,8 +429,7 @@ begin
)); ));
bend = st_setsrid(st_makeline(points), st_srid(bend)); bend = st_setsrid(st_makeline(points), st_srid(bend));
end end $$ language plpgsql;
$$ language plpgsql;
-- wm_adjsize calculates adjusted size for a polygon. Can return 0. -- wm_adjsize calculates adjusted size for a polygon. Can return 0.
drop function if exists wm_adjsize; drop function if exists wm_adjsize;
@ -469,7 +458,7 @@ end $$ language plpgsql;
drop function if exists wm_st_intersects_neighbors; drop function if exists wm_st_intersects_neighbors;
create function wm_st_intersects_neighbors( create function wm_st_intersects_neighbors(
bendattrs wm_t_bend_attrs[], bends geometry[],
bend geometry, bend geometry,
i integer, i integer,
intersect_patience integer intersect_patience integer
@ -480,15 +469,15 @@ declare
begin begin
-- Do close-by bends intersect with this one? Special -- Do close-by bends intersect with this one? Special
-- handling first, because 2 vertices need to be removed before checking. -- handling first, because 2 vertices need to be removed before checking.
n = st_npoints(bendattrs[i-1].bend); n = st_npoints(bends[i-1]);
if n > 3 and st_intersects(bend, if n > 3 and st_intersects(bend,
st_removepoint(st_removepoint(bendattrs[i-1].bend, n-1), n-2)) then st_removepoint(st_removepoint(bends[i-1], n-1), n-2)) then
return true; return true;
end if; end if;
n = st_npoints(bendattrs[i+1].bend); n = st_npoints(bends[i+1]);
if n > 3 and st_intersects(bend, if n > 3 and st_intersects(bend,
st_removepoint(st_removepoint(bendattrs[i+1].bend, 0), 0)) then st_removepoint(st_removepoint(bends[i+1], 0), 0)) then
return true; return true;
end if; end if;
@ -496,16 +485,16 @@ begin
-- with any of them. If yes -- abort enlargement. -- with any of them. If yes -- abort enlargement.
for n in -intersect_patience+1..intersect_patience-1 loop for n in -intersect_patience+1..intersect_patience-1 loop
continue when i+n < 1 or n in (-1, 0, 1); continue when i+n < 1 or n in (-1, 0, 1);
continue when i+n > array_length(bendattrs, 1); continue when i+n > array_length(bends, 1);
-- More special handling: if the neigbhoring bend has 3 vertices, the -- More special handling: if the neigbhoring bend has 3 vertices, the
-- neighbor's neighbor may just touch the tmpbendattr.bend; in this -- neighbor's neighbor may just touch the bend; in this
-- case, the nearest vertex should be removed before comparing. -- case, the nearest vertex should be removed before comparing.
neighbor = bendattrs[i+n].bend; neighbor = bends[i+n];
if st_npoints(neighbor) > 2 then if st_npoints(neighbor) > 2 then
if n = -2 and st_npoints(bendattrs[i+n+1].bend) = 3 then if n = -2 and st_npoints(bends[i+n+1]) = 3 then
neighbor = st_removepoint(neighbor, st_npoints(neighbor)-1); neighbor = st_removepoint(neighbor, st_npoints(neighbor)-1);
elsif n = 2 and st_npoints(bendattrs[i+n-1].bend) = 3 then elsif n = 2 and st_npoints(bends[i+n-1]) = 3 then
neighbor = st_removepoint(neighbor, 0); neighbor = st_removepoint(neighbor, 0);
end if; end if;
end if; end if;
@ -519,7 +508,8 @@ end $$ language plpgsql;
-- wm_exaggeration is the Exaggeration Operator described in the WM paper. -- wm_exaggeration is the Exaggeration Operator described in the WM paper.
create function wm_exaggeration( create function wm_exaggeration(
INOUT bendattrs wm_t_bend_attrs[], INOUT bends geometry[],
attrs wm_t_attrs[],
dhalfcircle float, dhalfcircle float,
intersect_patience integer, intersect_patience integer,
dbgname text default null, dbgname text default null,
@ -528,64 +518,52 @@ create function wm_exaggeration(
) as $$ ) as $$
declare declare
desired_size constant float default pi()*(dhalfcircle^2)/8; desired_size constant float default pi()*(dhalfcircle^2)/8;
tmpbendattr wm_t_bend_attrs; bend geometry;
neighbor geometry; neighbor geometry;
size float; size float;
i integer; i integer;
n integer;
this_mutated boolean; this_mutated boolean;
begin begin
mutated = false; mutated = false;
<<bendloop>> <<bendloop>>
for i in 1..array_length(bendattrs, 1) loop for i in 1..array_length(attrs, 1) loop
continue when not bendattrs[i].isolated; continue when not attrs[i].isolated;
size = bendattrs[i].adjsize; size = attrs[i].adjsize;
this_mutated = false; this_mutated = false;
-- keep increasing this bend until either size permits, or it hits a -- keep increasing this bend until either size permits, or it hits a
-- neighboring bend (intersect_patience number of neighbors will be -- neighboring bend (intersect_patience number of neighbors will be
-- checked). When the size is right, stick it to the line. -- checked). When the size is right, stick it to the line.
while size < desired_size loop while size < desired_size loop
tmpbendattr.bend = wm_exaggerate_bend(bendattrs[i].bend); bend = wm_exaggerate_bend(bends[i]);
exit when wm_st_intersects_neighbors( exit when wm_st_intersects_neighbors(bends, bend, i, intersect_patience);
bendattrs,
tmpbendattr.bend,
i,
intersect_patience
);
this_mutated = true; this_mutated = true;
bendattrs[i] = tmpbendattr; bends[i] = bend;
size = wm_adjsize(bendattrs[i].bend); size = wm_adjsize(bends[i]);
end loop; end loop;
continue when not this_mutated; continue when not this_mutated;
mutated = true; mutated = true;
-- Stick the right-sized bend to the line -- Stick the right-sized bend to the line
----------------------------------------- -----------------------------------------
-- Remove last vertex of the previous bend and first vertex of the next -- Remove last vertex of the previous bend and first vertex of the next
-- bend, because bends always share a line segment together this is -- bend, because bends always share a line segment together.
-- duplicated in a few places, because PostGIS does not allow (?) bend = st_removepoint(bends[i-1], st_npoints(bends[i-1])-1);
-- mutating an array when passed to a function. bends[i-1] = bend;
tmpbendattr.bend = st_removepoint( bend = st_removepoint(bends[i+1], 0);
bendattrs[i-1].bend, bends[i+1] = bend;
st_npoints(bendattrs[i-1].bend)-1
);
bendattrs[i-1] = tmpbendattr;
tmpbendattr.bend = st_removepoint(bendattrs[i+1].bend, 0);
bendattrs[i+1] = tmpbendattr;
if dbgname is not null then if dbgname is not null then
insert into wm_debug (stage, name, gen, nbend, way) values( insert into wm_debug (stage, name, gen, nbend, way) values(
'gexaggeration', dbgname, dbggen, i, bendattrs[i].bend 'gexaggeration', dbgname, dbggen, i, bends[i]);
);
end if; end if;
end loop; end loop;
end $$ language plpgsql; end $$ language plpgsql;
create function wm_elimination( create function wm_elimination(
INOUT bendattrs wm_t_bend_attrs[], INOUT bends geometry[],
attrs wm_t_attrs[],
dhalfcircle float, dhalfcircle float,
dbgname text default null, dbgname text default null,
dbggen integer default null, dbggen integer default null,
@ -596,73 +574,59 @@ declare
leftsize float; leftsize float;
rightsize float; rightsize float;
i int4; i int4;
j int4; bend geometry;
tmpbendattr wm_t_bend_attrs;
dbgbends geometry[];
begin begin
mutated = false; mutated = false;
i = 1; i = 1;
while i < array_length(bendattrs, 1)-1 loop while i < array_length(attrs, 1)-1 loop
i = i + 1; i = i + 1;
continue when bendattrs[i].adjsize = 0; continue when attrs[i].adjsize = 0;
continue when bendattrs[i].adjsize > desired_size; continue when attrs[i].adjsize > desired_size;
if i = 2 then if i = 2 then
leftsize = bendattrs[i].adjsize + 1; leftsize = attrs[i].adjsize + 1;
else else
leftsize = bendattrs[i-1].adjsize; leftsize = attrs[i-1].adjsize;
end if; end if;
if i = array_length(bendattrs, 1)-1 then if i = array_length(attrs, 1)-1 then
rightsize = bendattrs[i].adjsize + 1; rightsize = attrs[i].adjsize + 1;
else else
rightsize = bendattrs[i+1].adjsize; rightsize = attrs[i+1].adjsize;
end if; end if;
continue when bendattrs[i].adjsize >= leftsize; continue when attrs[i].adjsize >= leftsize;
continue when bendattrs[i].adjsize >= rightsize; continue when attrs[i].adjsize >= rightsize;
-- Local minimum. Elminate bend! -- Local minimum. Elminate bend!
mutated = true; mutated = true;
tmpbendattr.bend = st_makeline( bends[i] = st_makeline(st_pointn(bends[i], 1), st_pointn(bends[i], -1));
st_pointn(bendattrs[i].bend, 1),
st_pointn(bendattrs[i].bend, -1)
);
bendattrs[i] = tmpbendattr;
-- remove last vertex of the previous bend and -- remove last vertex of the previous bend and
-- first vertex of the next bend, because bends always -- first vertex of the next bend, because bends always
-- share a line segment together -- share a line segment together
tmpbendattr.bend = st_removepoint( bends[i-1] = st_removepoint(bends[i-1], st_npoints(bends[i-1])-1);
bendattrs[i-1].bend, bends[i+1] = st_removepoint(bends[i+1], 0);
st_npoints(bendattrs[i-1].bend)-1
);
bendattrs[i-1] = tmpbendattr;
tmpbendattr.bend = st_removepoint(bendattrs[i+1].bend, 0);
bendattrs[i+1] = tmpbendattr;
-- the next bend's adjsize is now messed up; it should not be taken -- the next bend's adjsize is now messed up; it should not be taken
-- into consideration for other local minimas. Skip over 2. -- into consideration for other local minimas. Skip over 2.
i = i + 2; i = i + 2;
end loop; end loop;
if dbgname is not null then if dbgname is not null then
for j in 1..array_length(bendattrs, 1) loop
dbgbends[j] = bendattrs[j].bend;
end loop;
insert into wm_debug(stage, name, gen, nbend, way) values( insert into wm_debug(stage, name, gen, nbend, way) values(
'helimination', 'helimination',
dbgname, dbgname,
dbggen, dbggen,
generate_subscripts(dbgbends, 1), generate_subscripts(bends, 1),
unnest(dbgbends) unnest(bends)
); );
end if; end if;
end end $$ language plpgsql;
$$ language plpgsql;
create function wm_isolated_bends( create function wm_isolated_bends(
INOUT bendattrs wm_t_bend_attrs[], INOUT attrs wm_t_attrs[],
bends geometry[],
dbgname text default null, dbgname text default null,
dbggen integer default null dbggen integer default null
) as $$ ) as $$
@ -671,31 +635,31 @@ declare
isolation_threshold constant real default 0.5; isolation_threshold constant real default 0.5;
this real; this real;
skip_next bool; skip_next bool;
res wm_t_bend_attrs; res wm_t_attrs;
i int4; i int4;
last_id integer; last_id integer;
begin begin
for i in 1..array_length(bendattrs, 1) loop for i in 1..array_length(attrs, 1) loop
if dbgname is not null then if dbgname is not null then
insert into wm_debug (stage, name, gen, nbend, way, props) values( insert into wm_debug (stage, name, gen, nbend, way, props) values(
'fisolated_bends', dbgname, dbggen, i, bendattrs[i].bend, 'fisolated_bends', dbgname, dbggen, i, bends[i],
jsonb_build_object('isolated', false) jsonb_build_object('isolated', false)
) returning id into last_id; ) returning id into last_id;
end if; end if;
-- first and last bends cannot be isolated -- first and last bends cannot be isolated
if i = 1 or i = array_length(bendattrs, 1) then if i = 1 or i = array_length(attrs, 1) then
continue; continue;
end if; end if;
res = bendattrs[i]; res = attrs[i];
if skip_next then if skip_next then
skip_next = false; skip_next = false;
else else
this = bendattrs[i].curvature * isolation_threshold; this = attrs[i].curvature * isolation_threshold;
if bendattrs[i-1].curvature < this and if attrs[i-1].curvature < this and
bendattrs[i+1].curvature < this then attrs[i+1].curvature < this then
res.isolated = true; res.isolated = true;
bendattrs[i] = res; attrs[i] = res;
skip_next = true; skip_next = true;
if dbgname is not null then if dbgname is not null then
@ -707,8 +671,7 @@ begin
end if; end if;
end loop; end loop;
end end $$ language plpgsql;
$$ language plpgsql;
drop function if exists ST_SimplifyWM_Estimate; drop function if exists ST_SimplifyWM_Estimate;
create function ST_SimplifyWM_Estimate( create function ST_SimplifyWM_Estimate(
@ -734,8 +697,7 @@ begin
npoints = npoints + st_numpoints(lines[i]); npoints = npoints + st_numpoints(lines[i]);
end loop; end loop;
secs = npoints / 33; secs = npoints / 33;
end end $$ language plpgsql;
$$ language plpgsql;
-- ST_SimplifyWM simplifies a given geometry using Wang & Müller's -- ST_SimplifyWM simplifies a given geometry using Wang & Müller's
-- "Line Generalization Based on Analysis of Shape Characteristics" algorithm, -- "Line Generalization Based on Analysis of Shape Characteristics" algorithm,
@ -759,7 +721,7 @@ declare
line geometry; line geometry;
lines geometry[]; lines geometry[];
bends geometry[]; bends geometry[];
bendattrs wm_t_bend_attrs[]; attrs wm_t_attrs[];
mutated boolean; mutated boolean;
l_type text; l_type text;
begin begin
@ -790,31 +752,25 @@ begin
select * from wm_self_crossing(bends, dbgname, gen) into bends, mutated; select * from wm_self_crossing(bends, dbgname, gen) into bends, mutated;
if mutated then if not mutated then
lines[i] = st_linemerge(st_union(bends)); attrs = array((select wm_bend_attrs(bends, dbgname, gen)));
gen = gen + 1; attrs = wm_isolated_bends(attrs, bends, dbgname, gen);
continue;
select * from wm_exaggeration(
bends, attrs, dhalfcircle, intersect_patience, dbgname, gen
) into bends, mutated;
end if; end if;
bendattrs = array((select wm_bend_attrs(bends, dbgname, gen)));
bendattrs = wm_isolated_bends(bendattrs, dbgname, gen);
select * from wm_exaggeration(
bendattrs, dhalfcircle, intersect_patience, dbgname, gen
) into bendattrs, mutated;
-- TODO: wm_combination -- TODO: wm_combination
if not mutated then if not mutated then
select * from wm_elimination( select * from wm_elimination(
bendattrs, dhalfcircle, dbgname, gen) into bendattrs, mutated; bends, attrs, dhalfcircle, dbgname, gen) into bends, mutated;
end if; end if;
if mutated then if mutated then
for j in 1..array_length(bendattrs, 1) loop
bends[j] = bendattrs[j].bend;
end loop;
lines[i] = st_linemerge(st_union(bends)); lines[i] = st_linemerge(st_union(bends));
if st_geometrytype(lines[i]) != 'ST_LineString' then if st_geometrytype(lines[i]) != 'ST_LineString' then
-- For manual debugging, usually when wm_exaggeration returns -- For manual debugging, usually when wm_exaggeration returns
-- ST_MultiLineString. Uncomment the code below and `raise notice`. -- ST_MultiLineString. Uncomment the code below and `raise notice`.
@ -839,5 +795,4 @@ begin
elseif l_type = 'ST_MultiLineString' then elseif l_type = 'ST_MultiLineString' then
return st_union(lines); return st_union(lines);
end if; end if;
end end $$ language plpgsql;
$$ language plpgsql;