@@ -112,34 +112,34 @@ SELECT '' AS thirty, p.f1, l.s, p.f1 ## l.s AS closest
112112 thirty | f1 | s | closest
113113--------+------------+-------------------------------+----------------------------------
114114 | (0,0) | [(1,2),(3,4)] | (1,2)
115- | (-10,0) | [(1,2),(3,4)] | (1,2)
116- | (-3,4) | [(1,2),(3,4)] | (1,2)
117- | (5.1,34.5) | [(1,2),(3,4)] | (3,4)
118- | (-5,-12) | [(1,2),(3,4)] | (1,2)
119- | (10,10) | [(1,2),(3,4)] | (3,4)
120115 | (0,0) | [(0,0),(6,6)] | (-0,0)
121- | (-10,0) | [(0,0),(6,6)] | (0,0)
122- | (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
123- | (5.1,34.5) | [(0,0),(6,6)] | (6,6)
124- | (-5,-12) | [(0,0),(6,6)] | (0,0)
125- | (10,10) | [(0,0),(6,6)] | (6,6)
126116 | (0,0) | [(10,-10),(-3,-4)] | (-2.0487804878,-4.43902439024)
127- | (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
128- | (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
129- | (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
130- | (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
131- | (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
132117 | (0,0) | [(-1000000,200),(300000,-40)] | (0.00284023658959,15.3846148603)
133- | (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
134- | (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
135- | (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
136- | (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
137- | (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
138118 | (0,0) | [(11,22),(33,44)] | (11,22)
119+ | (-10,0) | [(1,2),(3,4)] | (1,2)
120+ | (-10,0) | [(0,0),(6,6)] | (0,0)
121+ | (-10,0) | [(10,-10),(-3,-4)] | (-3,-4)
122+ | (-10,0) | [(-1000000,200),(300000,-40)] | (-9.99715942258,15.386461014)
139123 | (-10,0) | [(11,22),(33,44)] | (11,22)
124+ | (-3,4) | [(1,2),(3,4)] | (1,2)
125+ | (-3,4) | [(0,0),(6,6)] | (0.5,0.5)
126+ | (-3,4) | [(10,-10),(-3,-4)] | (-3,-4)
127+ | (-3,4) | [(-1000000,200),(300000,-40)] | (-2.99789812268,15.3851688427)
140128 | (-3,4) | [(11,22),(33,44)] | (11,22)
129+ | (5.1,34.5) | [(1,2),(3,4)] | (3,4)
130+ | (5.1,34.5) | [(0,0),(6,6)] | (6,6)
131+ | (5.1,34.5) | [(10,-10),(-3,-4)] | (-3,-4)
132+ | (5.1,34.5) | [(-1000000,200),(300000,-40)] | (5.09647083221,15.3836744977)
141133 | (5.1,34.5) | [(11,22),(33,44)] | (14.3,25.3)
134+ | (-5,-12) | [(1,2),(3,4)] | (1,2)
135+ | (-5,-12) | [(0,0),(6,6)] | (0,0)
136+ | (-5,-12) | [(10,-10),(-3,-4)] | (-1.60487804878,-4.64390243902)
137+ | (-5,-12) | [(-1000000,200),(300000,-40)] | (-4.99494420846,15.3855375282)
142138 | (-5,-12) | [(11,22),(33,44)] | (11,22)
139+ | (10,10) | [(1,2),(3,4)] | (3,4)
140+ | (10,10) | [(0,0),(6,6)] | (6,6)
141+ | (10,10) | [(10,-10),(-3,-4)] | (2.39024390244,-6.48780487805)
142+ | (10,10) | [(-1000000,200),(300000,-40)] | (10.000993742,15.3827690473)
143143 | (10,10) | [(11,22),(33,44)] | (11,22)
144144(30 rows)
145145
@@ -166,28 +166,28 @@ SELECT '' AS twentyfour, b.f1 + p.f1 AS translation
166166 twentyfour | translation
167167------------+-------------------------
168168 | (2,2),(0,0)
169- | (-8,2),(-10,0)
170- | (-1,6),(-3,4)
171- | (7.1,36.5),(5.1,34.5)
172- | (-3,-10),(-5,-12)
173- | (12,12),(10,10)
174169 | (3,3),(1,1)
175- | (-7,3),(-9,1)
176- | (0,7),(-2,5)
177- | (8.1,37.5),(6.1,35.5)
178- | (-2,-9),(-4,-11)
179- | (13,13),(11,11)
180170 | (2.5,3.5),(2.5,2.5)
181- | (-7.5,3.5),(-7.5,2.5)
182- | (-0.5,7.5),(-0.5,6.5)
183- | (7.6,38),(7.6,37)
184- | (-2.5,-8.5),(-2.5,-9.5)
185- | (12.5,13.5),(12.5,12.5)
186171 | (3,3),(3,3)
172+ | (-8,2),(-10,0)
173+ | (-7,3),(-9,1)
174+ | (-7.5,3.5),(-7.5,2.5)
187175 | (-7,3),(-7,3)
176+ | (-1,6),(-3,4)
177+ | (0,7),(-2,5)
178+ | (-0.5,7.5),(-0.5,6.5)
188179 | (0,7),(0,7)
180+ | (7.1,36.5),(5.1,34.5)
181+ | (8.1,37.5),(6.1,35.5)
182+ | (7.6,38),(7.6,37)
189183 | (8.1,37.5),(8.1,37.5)
184+ | (-3,-10),(-5,-12)
185+ | (-2,-9),(-4,-11)
186+ | (-2.5,-8.5),(-2.5,-9.5)
190187 | (-2,-9),(-2,-9)
188+ | (12,12),(10,10)
189+ | (13,13),(11,11)
190+ | (12.5,13.5),(12.5,12.5)
191191 | (13,13),(13,13)
192192(24 rows)
193193
@@ -196,28 +196,28 @@ SELECT '' AS twentyfour, b.f1 - p.f1 AS translation
196196 twentyfour | translation
197197------------+---------------------------
198198 | (2,2),(0,0)
199- | (12,2),(10,0)
200- | (5,-2),(3,-4)
201- | (-3.1,-32.5),(-5.1,-34.5)
202- | (7,14),(5,12)
203- | (-8,-8),(-10,-10)
204199 | (3,3),(1,1)
205- | (13,3),(11,1)
206- | (6,-1),(4,-3)
207- | (-2.1,-31.5),(-4.1,-33.5)
208- | (8,15),(6,13)
209- | (-7,-7),(-9,-9)
210200 | (2.5,3.5),(2.5,2.5)
211- | (12.5,3.5),(12.5,2.5)
212- | (5.5,-0.5),(5.5,-1.5)
213- | (-2.6,-31),(-2.6,-32)
214- | (7.5,15.5),(7.5,14.5)
215- | (-7.5,-6.5),(-7.5,-7.5)
216201 | (3,3),(3,3)
202+ | (12,2),(10,0)
203+ | (13,3),(11,1)
204+ | (12.5,3.5),(12.5,2.5)
217205 | (13,3),(13,3)
206+ | (5,-2),(3,-4)
207+ | (6,-1),(4,-3)
208+ | (5.5,-0.5),(5.5,-1.5)
218209 | (6,-1),(6,-1)
210+ | (-3.1,-32.5),(-5.1,-34.5)
211+ | (-2.1,-31.5),(-4.1,-33.5)
212+ | (-2.6,-31),(-2.6,-32)
219213 | (-2.1,-31.5),(-2.1,-31.5)
214+ | (7,14),(5,12)
215+ | (8,15),(6,13)
216+ | (7.5,15.5),(7.5,14.5)
220217 | (8,15),(8,15)
218+ | (-8,-8),(-10,-10)
219+ | (-7,-7),(-9,-9)
220+ | (-7.5,-6.5),(-7.5,-7.5)
221221 | (-7,-7),(-7,-7)
222222(24 rows)
223223
@@ -227,28 +227,28 @@ SELECT '' AS twentyfour, b.f1 * p.f1 AS rotation
227227 twentyfour | rotation
228228------------+-----------------------------
229229 | (0,0),(0,0)
230- | (-0,0),(-20,-20)
231- | (-0,2),(-14,0)
232- | (0,79.2),(-58.8,0)
233- | (14,-0),(0,-34)
234- | (0,40),(0,0)
235230 | (0,0),(0,0)
236- | (-10,-10),(-30,-30)
237- | (-7,3),(-21,1)
238- | (-29.4,118.8),(-88.2,39.6)
239- | (21,-17),(7,-51)
240- | (0,60),(0,20)
241231 | (0,0),(0,0)
242- | (-25,-25),(-25,-35)
243- | (-17.5,2.5),(-21.5,-0.5)
244- | (-73.5,104.1),(-108,99)
245- | (29.5,-42.5),(17.5,-47.5)
246- | (0,60),(-10,50)
247232 | (0,0),(0,0)
233+ | (-0,0),(-20,-20)
234+ | (-10,-10),(-30,-30)
235+ | (-25,-25),(-25,-35)
248236 | (-30,-30),(-30,-30)
237+ | (-0,2),(-14,0)
238+ | (-7,3),(-21,1)
239+ | (-17.5,2.5),(-21.5,-0.5)
249240 | (-21,3),(-21,3)
241+ | (0,79.2),(-58.8,0)
242+ | (-29.4,118.8),(-88.2,39.6)
243+ | (-73.5,104.1),(-108,99)
250244 | (-88.2,118.8),(-88.2,118.8)
245+ | (14,-0),(0,-34)
246+ | (21,-17),(7,-51)
247+ | (29.5,-42.5),(17.5,-47.5)
251248 | (21,-51),(21,-51)
249+ | (0,40),(0,0)
250+ | (0,60),(0,20)
251+ | (0,60),(-10,50)
252252 | (0,60),(0,60)
253253(24 rows)
254254
@@ -258,24 +258,24 @@ SELECT '' AS twenty, b.f1 / p.f1 AS rotation
258258 twenty | rotation
259259--------+----------------------------------------------------------------------
260260 | (0,-0),(-0.2,-0.2)
261- | (-0.1,-0.1),(-0.3,-0.3)
262- | (-0.25,-0.25),(-0.25,-0.35)
263- | (-0.3,-0.3),(-0.3,-0.3)
264261 | (0.08,-0),(0,-0.56)
265- | (0.12,-0.28),(0.04,-0.84)
266- | (0.26,-0.7),(0.1,-0.82)
267- | (0.12,-0.84),(0.12,-0.84)
268262 | (0.0651176557644,0),(0,-0.0483449262493)
269- | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
270- | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
271- | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
272263 | (-0,0.0828402366864),(-0.201183431953,0)
273- | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
274- | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
275- | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
276264 | (0.2,0),(0,0)
265+ | (-0.1,-0.1),(-0.3,-0.3)
266+ | (0.12,-0.28),(0.04,-0.84)
267+ | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
268+ | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
277269 | (0.3,0),(0.1,0)
270+ | (-0.25,-0.25),(-0.25,-0.35)
271+ | (0.26,-0.7),(0.1,-0.82)
272+ | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
273+ | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
278274 | (0.3,0.05),(0.25,0)
275+ | (-0.3,-0.3),(-0.3,-0.3)
276+ | (0.12,-0.84),(0.12,-0.84)
277+ | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
278+ | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
279279 | (0.3,0),(0.3,0)
280280(20 rows)
281281
@@ -345,28 +345,28 @@ SELECT '' AS twentyfour, p.f1, poly.f1, poly.f1 ~ p.f1 AS contains
345345 twentyfour | f1 | f1 | contains
346346------------+------------+---------------------+----------
347347 | (0,0) | ((2,0),(2,4),(0,0)) | t
348- | (-10,0) | ((2,0),(2,4),(0,0)) | f
349- | (-3,4) | ((2,0),(2,4),(0,0)) | f
350- | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
351- | (-5,-12) | ((2,0),(2,4),(0,0)) | f
352- | (10,10) | ((2,0),(2,4),(0,0)) | f
353348 | (0,0) | ((3,1),(3,3),(1,0)) | f
354- | (-10,0) | ((3,1),(3,3),(1,0)) | f
355- | (-3,4) | ((3,1),(3,3),(1,0)) | f
356- | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
357- | (-5,-12) | ((3,1),(3,3),(1,0)) | f
358- | (10,10) | ((3,1),(3,3),(1,0)) | f
359349 | (0,0) | ((0,0)) | t
360- | (-10,0) | ((0,0)) | f
361- | (-3,4) | ((0,0)) | f
362- | (5.1,34.5) | ((0,0)) | f
363- | (-5,-12) | ((0,0)) | f
364- | (10,10) | ((0,0)) | f
365350 | (0,0) | ((0,1),(0,1)) | f
351+ | (-10,0) | ((2,0),(2,4),(0,0)) | f
352+ | (-10,0) | ((3,1),(3,3),(1,0)) | f
353+ | (-10,0) | ((0,0)) | f
366354 | (-10,0) | ((0,1),(0,1)) | f
355+ | (-3,4) | ((2,0),(2,4),(0,0)) | f
356+ | (-3,4) | ((3,1),(3,3),(1,0)) | f
357+ | (-3,4) | ((0,0)) | f
367358 | (-3,4) | ((0,1),(0,1)) | f
359+ | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
360+ | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
361+ | (5.1,34.5) | ((0,0)) | f
368362 | (5.1,34.5) | ((0,1),(0,1)) | f
363+ | (-5,-12) | ((2,0),(2,4),(0,0)) | f
364+ | (-5,-12) | ((3,1),(3,3),(1,0)) | f
365+ | (-5,-12) | ((0,0)) | f
369366 | (-5,-12) | ((0,1),(0,1)) | f
367+ | (10,10) | ((2,0),(2,4),(0,0)) | f
368+ | (10,10) | ((3,1),(3,3),(1,0)) | f
369+ | (10,10) | ((0,0)) | f
370370 | (10,10) | ((0,1),(0,1)) | f
371371(24 rows)
372372
@@ -375,28 +375,28 @@ SELECT '' AS twentyfour, p.f1, poly.f1, p.f1 @ poly.f1 AS contained
375375 twentyfour | f1 | f1 | contained
376376------------+------------+---------------------+-----------
377377 | (0,0) | ((2,0),(2,4),(0,0)) | t
378- | (-10,0) | ((2,0),(2,4),(0,0)) | f
379- | (-3,4) | ((2,0),(2,4),(0,0)) | f
380- | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
381- | (-5,-12) | ((2,0),(2,4),(0,0)) | f
382- | (10,10) | ((2,0),(2,4),(0,0)) | f
383378 | (0,0) | ((3,1),(3,3),(1,0)) | f
384- | (-10,0) | ((3,1),(3,3),(1,0)) | f
385- | (-3,4) | ((3,1),(3,3),(1,0)) | f
386- | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
387- | (-5,-12) | ((3,1),(3,3),(1,0)) | f
388- | (10,10) | ((3,1),(3,3),(1,0)) | f
389379 | (0,0) | ((0,0)) | t
390- | (-10,0) | ((0,0)) | f
391- | (-3,4) | ((0,0)) | f
392- | (5.1,34.5) | ((0,0)) | f
393- | (-5,-12) | ((0,0)) | f
394- | (10,10) | ((0,0)) | f
395380 | (0,0) | ((0,1),(0,1)) | f
381+ | (-10,0) | ((2,0),(2,4),(0,0)) | f
382+ | (-10,0) | ((3,1),(3,3),(1,0)) | f
383+ | (-10,0) | ((0,0)) | f
396384 | (-10,0) | ((0,1),(0,1)) | f
385+ | (-3,4) | ((2,0),(2,4),(0,0)) | f
386+ | (-3,4) | ((3,1),(3,3),(1,0)) | f
387+ | (-3,4) | ((0,0)) | f
397388 | (-3,4) | ((0,1),(0,1)) | f
389+ | (5.1,34.5) | ((2,0),(2,4),(0,0)) | f
390+ | (5.1,34.5) | ((3,1),(3,3),(1,0)) | f
391+ | (5.1,34.5) | ((0,0)) | f
398392 | (5.1,34.5) | ((0,1),(0,1)) | f
393+ | (-5,-12) | ((2,0),(2,4),(0,0)) | f
394+ | (-5,-12) | ((3,1),(3,3),(1,0)) | f
395+ | (-5,-12) | ((0,0)) | f
399396 | (-5,-12) | ((0,1),(0,1)) | f
397+ | (10,10) | ((2,0),(2,4),(0,0)) | f
398+ | (10,10) | ((3,1),(3,3),(1,0)) | f
399+ | (10,10) | ((0,0)) | f
400400 | (10,10) | ((0,1),(0,1)) | f
401401(24 rows)
402402