diff --git a/IV/tests.sql b/IV/tests.sql
index 8b2f35c..9d2fa69 100644
--- a/IV/tests.sql
+++ b/IV/tests.sql
@@ -15,7 +15,7 @@ drop table if exists figures;
 create table figures (name text, way geometry);
 insert into figures (name, way) values ('fig3',ST_GeomFromText('LINESTRING(0 0,12 0,13 4,20 2,20 0,32 0,33 10,38 16,43 15,44 10,44 0,60 0)'));
 insert into figures (name, way) values ('fig3-1',ST_GeomFromText('LINESTRING(0 0,12 0,13 4,20 2,20 0,32 0,33 10,38 16,43 15,44 10,44 0)'));
-insert into figures (name, way) values ('fig5',ST_GeomFromText('LINESTRING(0 39,19 52,27 77,26 104,41 115,49 115,65 103,65 75,53 45,63 15,91 0,91 0)'));
+insert into figures (name, way) values ('fig5',ST_GeomFromText('LINESTRING(0 39,19 52,27 77,26 104,41 115,49 115,65 103,65 75,53 45,63 15,91 0)'));
 insert into figures (name, way) values ('inflection-1',ST_GeomFromText('LINESTRING(110 24,114 20,133 20,145 15,145 0,136 5,123 7,114 7,111 2)'));
 
 -- tables are for manual inspection using, say, qgis
@@ -53,9 +53,16 @@ declare
   vbends geometry[];
   vinflections geometry[];
 begin
+  -- fig5
+  select detect_bends((select way from figures where name='fig5')) into vbends;
+  select fix_gentle_inflections(vbends) into vinflections;
+  perform assert_equals('LINESTRING(0 39,19 52,27 77)', st_astext(vinflections[1]));
+  perform assert_equals('LINESTRING(19 52,27 77,26 104,41 115,49 115,65 103,65 75,53 45)', st_astext(vinflections[2]));
+  perform assert_equals('LINESTRING(65 75,53 45,63 15,91 0)', st_astext(vinflections[3]));
+
+  -- inflections-1, the example in fix_gentle_inflections docstring
   select detect_bends((select way from figures where name='inflection-1')) into vbends;
   select fix_gentle_inflections(vbends) into vinflections;
-
   perform assert_equals(vbends[1], vinflections[1]); -- unchanged
   perform assert_equals('LINESTRING(114 20,133 20,145 15,145 0,136 5,123 7,114 7)', st_astext(vinflections[2]));
   perform assert_equals('LINESTRING(123 7,114 7,111 2)', st_astext(vinflections[3]));