*** ./expected/geometry.out Tue Sep 12 16:07:16 2000 --- ./results/geometry.out Fri Mar 30 13:08:07 2001 *************** *** 150,160 **** six | box -----+---------------------------------------------------------------------------- | (2.12132034355964,2.12132034355964),(-2.12132034355964,-2.12132034355964) ! | (71.7106781186548,72.7106781186548),(-69.7106781186548,-68.7106781186548) ! | (4.53553390593274,6.53553390593274),(-2.53553390593274,-0.535533905932738) ! | (3.12132034355964,4.12132034355964),(-1.12132034355964,-0.121320343559643) | (107.071067811865,207.071067811865),(92.9289321881345,192.928932188135) ! | (170.710678118655,70.7106781186548),(29.2893218813452,-70.7106781186548) (6 rows) -- translation --- 150,160 ---- six | box -----+---------------------------------------------------------------------------- | (2.12132034355964,2.12132034355964),(-2.12132034355964,-2.12132034355964) ! | (71.7106781186547,72.7106781186547),(-69.7106781186547,-68.7106781186547) ! | (4.53553390593274,6.53553390593274),(-2.53553390593274,-0.535533905932737) ! | (3.12132034355964,4.12132034355964),(-1.12132034355964,-0.121320343559642) | (107.071067811865,207.071067811865),(92.9289321881345,192.928932188135) ! | (170.710678118655,70.7106781186547),(29.2893218813453,-70.7106781186547) (6 rows) -- translation *************** *** 443,454 **** FROM CIRCLE_TBL; six | polygon -----+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ! | ((-3,0),(-2.59807621135076,1.50000000000442),(-1.49999999999116,2.59807621135842),(1.53102359078377e-11,3),(1.50000000001768,2.59807621134311),(2.59807621136607,1.4999999999779),(3,-3.06204718156754e-11),(2.59807621133545,-1.50000000003094),(1.49999999996464,-2.59807621137373),(-4.59307077235131e-11,-3),(-1.5000000000442,-2.5980762113278),(-2.59807621138138,-1.49999999995138)) | ((-99,2),(-85.6025403783588,52.0000000001473),(-48.9999999997054,88.602540378614),(1.00000000051034,102),(51.0000000005893,88.6025403781036),(87.6025403788692,51.9999999992634),(101,1.99999999897932),(87.6025403778485,-48.0000000010313),(50.9999999988214,-84.6025403791243),(0.999999998468976,-98),(-49.0000000014732,-84.6025403775933),(-85.6025403793795,-47.9999999983795)) ! | ((-4,3),(-3.33012701891794,5.50000000000737),(-1.49999999998527,7.3301270189307),(1.00000000002552,8),(3.50000000002946,7.33012701890518),(5.33012701894346,5.49999999996317),(6,2.99999999994897),(5.33012701889242,0.499999999948437),(3.49999999994107,-1.33012701895622),(0.999999999923449,-2),(-1.50000000007366,-1.33012701887966),(-3.33012701896897,0.500000000081028)) ! | ((-2,2),(-1.59807621135076,3.50000000000442),(-0.499999999991161,4.59807621135842),(1.00000000001531,5),(2.50000000001768,4.59807621134311),(3.59807621136607,3.4999999999779),(4,1.99999999996938),(3.59807621133545,0.499999999969062),(2.49999999996464,-0.59807621137373),(0.999999999954069,-1),(-0.500000000044197,-0.598076211327799),(-1.59807621138138,0.500000000048617)) | ((90,200),(91.3397459621641,205.000000000015),(95.0000000000295,208.660254037861),(100.000000000051,210),(105.000000000059,208.66025403781),(108.660254037887,204.999999999926),(110,199.999999999898),(108.660254037785,194.999999999897),(104.999999999882,191.339745962088),(99.9999999998469,190),(94.9999999998527,191.339745962241),(91.3397459620621,195.000000000162)) ! | ((0,0),(13.3974596216412,50.0000000001473),(50.0000000002946,86.602540378614),(100.00000000051,100),(150.000000000589,86.6025403781036),(186.602540378869,49.9999999992634),(200,-1.02068239385585e-09),(186.602540377848,-50.0000000010313),(149.999999998821,-86.6025403791243),(99.999999998469,-100),(49.9999999985268,-86.6025403775933),(13.3974596206205,-49.9999999983795)) (6 rows) -- convert the circle to an 8-point polygon --- 443,454 ---- FROM CIRCLE_TBL; six | polygon -----+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ! | ((-3,0),(-2.59807621135076,1.50000000000442),(-1.49999999999116,2.59807621135842),(1.53102359017709e-11,3),(1.50000000001768,2.59807621134311),(2.59807621136607,1.4999999999779),(3,-3.06204718035418e-11),(2.59807621133545,-1.50000000003094),(1.49999999996464,-2.59807621137373),(-4.59307077053127e-11,-3),(-1.5000000000442,-2.5980762113278),(-2.59807621138138,-1.49999999995138)) | ((-99,2),(-85.6025403783588,52.0000000001473),(-48.9999999997054,88.602540378614),(1.00000000051034,102),(51.0000000005893,88.6025403781036),(87.6025403788692,51.9999999992634),(101,1.99999999897932),(87.6025403778485,-48.0000000010313),(50.9999999988214,-84.6025403791243),(0.999999998468976,-98),(-49.0000000014732,-84.6025403775933),(-85.6025403793795,-47.9999999983795)) ! | ((-4,3),(-3.33012701891794,5.50000000000737),(-1.49999999998527,7.3301270189307),(1.00000000002552,8),(3.50000000002946,7.33012701890518),(5.33012701894346,5.49999999996317),(6,2.99999999994897),(5.33012701889242,0.499999999948437),(3.49999999994107,-1.33012701895622),(0.999999999923449,-2),(-1.50000000007366,-1.33012701887967),(-3.33012701896897,0.500000000081028)) ! | ((-2,2),(-1.59807621135076,3.50000000000442),(-0.499999999991161,4.59807621135842),(1.00000000001531,5),(2.50000000001768,4.59807621134311),(3.59807621136607,3.4999999999779),(4,1.99999999996938),(3.59807621133545,0.499999999969062),(2.49999999996464,-0.598076211373729),(0.999999999954069,-1),(-0.500000000044197,-0.598076211327799),(-1.59807621138138,0.500000000048616)) | ((90,200),(91.3397459621641,205.000000000015),(95.0000000000295,208.660254037861),(100.000000000051,210),(105.000000000059,208.66025403781),(108.660254037887,204.999999999926),(110,199.999999999898),(108.660254037785,194.999999999897),(104.999999999882,191.339745962088),(99.9999999998469,190),(94.9999999998527,191.339745962241),(91.3397459620621,195.000000000162)) ! | ((0,0),(13.3974596216412,50.0000000001473),(50.0000000002946,86.602540378614),(100.00000000051,100),(150.000000000589,86.6025403781036),(186.602540378869,49.9999999992634),(200,-1.02068239345139e-09),(186.602540377848,-50.0000000010313),(149.999999998821,-86.6025403791243),(99.999999998469,-100),(49.9999999985268,-86.6025403775933),(13.3974596206205,-49.9999999983795)) (6 rows) -- convert the circle to an 8-point polygon *************** *** 456,467 **** FROM CIRCLE_TBL; six | polygon -----+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ! | ((-3,0),(-2.12132034355423,2.12132034356506),(1.53102359078377e-11,3),(2.12132034357588,2.1213203435434),(3,-3.06204718156754e-11),(2.12132034353258,-2.12132034358671),(-4.59307077235131e-11,-3),(-2.12132034359753,-2.12132034352175)) ! | ((-99,2),(-69.7106781184743,72.7106781188352),(1.00000000051034,102),(71.710678119196,72.7106781181134),(101,1.99999999897932),(71.7106781177526,-68.7106781195569),(0.999999998468976,-98),(-69.7106781199178,-68.7106781173917)) | ((-4,3),(-2.53553390592372,6.53553390594176),(1.00000000002552,8),(4.5355339059598,6.53553390590567),(6,2.99999999994897),(4.53553390588763,-0.535533905977846),(0.999999999923449,-2),(-2.53553390599589,-0.535533905869586)) | ((-2,2),(-1.12132034355423,4.12132034356506),(1.00000000001531,5),(3.12132034357588,4.1213203435434),(4,1.99999999996938),(3.12132034353258,-0.121320343586707),(0.999999999954069,-1),(-1.12132034359753,-0.121320343521752)) | ((90,200),(92.9289321881526,207.071067811884),(100.000000000051,210),(107.07106781192,207.071067811811),(110,199.999999999898),(107.071067811775,192.928932188044),(99.9999999998469,190),(92.9289321880082,192.928932188261)) ! | ((0,0),(29.2893218815257,70.7106781188352),(100.00000000051,100),(170.710678119196,70.7106781181134),(200,-1.02068239385585e-09),(170.710678117753,-70.7106781195569),(99.999999998469,-100),(29.2893218800822,-70.7106781173917)) (6 rows) -- --- 456,467 ---- FROM CIRCLE_TBL; six | polygon -----+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ! | ((-3,0),(-2.12132034355423,2.12132034356506),(1.53102359017709e-11,3),(2.12132034357588,2.1213203435434),(3,-3.06204718035418e-11),(2.12132034353258,-2.12132034358671),(-4.59307077053127e-11,-3),(-2.12132034359753,-2.12132034352175)) ! | ((-99,2),(-69.7106781184743,72.7106781188352),(1.00000000051034,102),(71.710678119196,72.7106781181135),(101,1.99999999897932),(71.7106781177526,-68.7106781195569),(0.999999998468976,-98),(-69.7106781199178,-68.7106781173917)) | ((-4,3),(-2.53553390592372,6.53553390594176),(1.00000000002552,8),(4.5355339059598,6.53553390590567),(6,2.99999999994897),(4.53553390588763,-0.535533905977846),(0.999999999923449,-2),(-2.53553390599589,-0.535533905869586)) | ((-2,2),(-1.12132034355423,4.12132034356506),(1.00000000001531,5),(3.12132034357588,4.1213203435434),(4,1.99999999996938),(3.12132034353258,-0.121320343586707),(0.999999999954069,-1),(-1.12132034359753,-0.121320343521752)) | ((90,200),(92.9289321881526,207.071067811884),(100.000000000051,210),(107.07106781192,207.071067811811),(110,199.999999999898),(107.071067811775,192.928932188044),(99.9999999998469,190),(92.9289321880082,192.928932188261)) ! | ((0,0),(29.2893218815257,70.7106781188352),(100.00000000051,100),(170.710678119196,70.7106781181135),(200,-1.02068239345139e-09),(170.710678117753,-70.7106781195569),(99.999999998469,-100),(29.2893218800822,-70.7106781173917)) (6 rows) -- *************** *** 503,513 **** WHERE (p1.f1 <-> c1.f1) > 0 ORDER BY distance, circle, point using <<; twentyfour | circle | point | distance ! ------------+----------------+------------+------------------- ! | <(100,0),100> | (5.1,34.5) | 0.976531926977964 | <(1,2),3> | (-3,4) | 1.47213595499958 | <(0,0),3> | (-3,4) | 2 ! | <(100,0),100> | (-3,4) | 3.07764064044151 | <(100,0),100> | (-5,-12) | 5.68348972285122 | <(1,3),5> | (-10,0) | 6.40175425099138 | <(1,3),5> | (10,10) | 6.40175425099138 --- 503,513 ---- WHERE (p1.f1 <-> c1.f1) > 0 ORDER BY distance, circle, point using <<; twentyfour | circle | point | distance ! ------------+----------------+------------+------------------ ! | <(100,0),100> | (5.1,34.5) | 0.97653192697797 | <(1,2),3> | (-3,4) | 1.47213595499958 | <(0,0),3> | (-3,4) | 2 ! | <(100,0),100> | (-3,4) | 3.07764064044152 | <(100,0),100> | (-5,-12) | 5.68348972285122 | <(1,3),5> | (-10,0) | 6.40175425099138 | <(1,3),5> | (10,10) | 6.40175425099138 *************** *** 519,525 **** | <(0,0),3> | (10,10) | 11.142135623731 | <(1,3),5> | (-5,-12) | 11.1554944214035 | <(1,2),3> | (-5,-12) | 12.2315462117278 ! | <(1,3),5> | (5.1,34.5) | 26.7657047773224 | <(1,2),3> | (5.1,34.5) | 29.757594539282 | <(0,0),3> | (5.1,34.5) | 31.8749193547455 | <(100,200),10> | (5.1,34.5) | 180.778038568384 --- 519,525 ---- | <(0,0),3> | (10,10) | 11.142135623731 | <(1,3),5> | (-5,-12) | 11.1554944214035 | <(1,2),3> | (-5,-12) | 12.2315462117278 ! | <(1,3),5> | (5.1,34.5) | 26.7657047773223 | <(1,2),3> | (5.1,34.5) | 29.757594539282 | <(0,0),3> | (5.1,34.5) | 31.8749193547455 | <(100,200),10> | (5.1,34.5) | 180.778038568384 ======================================================================