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gis tests: minimise rounding #162

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gis tests: minimise rounding #162

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grooverdan
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With the advent of https://github.com/mysql/mysql-server/blob/5.7/cmake/floating_point.cmake, most architecture/compiler differences within the GIS test suites have been eliminated. As such the proliferation of replace_numeric_result/regex/result isn't as needed as it once was. This PR removes as much rounding as possible.

There are 8 remaining replace_numeric_result calls, each containing the maximum possible precision needed to pass test suites on x86_64, ppc64le and ARM64. Interesting it is x86_64 that produces a result that is different to the identical results in ppc64le/ARM64 however tracing the exact cause it beyond current bandwidth.

closes #158 where most of the direction/discussion was. Thanks @akopytov

@grooverdan
MTR: remove (almost) all roundings in GIS tests
2d0997f 
One can expect the same answer on all IEEE 754 architectures provided that no
extensions to the standard are used. Some architectures may use higher (e.g.
80-bit) precision to represent floating point numbers internally. That fact,
combined with fused CPU instructions may indeed result in floating point
calculations being non-portable.

With the advent of in commit 0a417e84 (and similar 5.7 commits), disabling
fused CPU contraction (-ffp-contract=off), there should be no differences.

The proper approach would be to investigate rounding differences on specific
architectures and fix them when possible.

The current test cases here are correct for x86_64. Both ppc64le (on Power8)
and ARM64 record identical differences on the gis.gis_bugs_crashes and
gis.spatial_analysis_functions_buffer tests. They are included here until such
a time that MTR supports architecture specific differences. In the mean time
replace_numeric_round is used with appolgies.

Many thanks to Alexey Kopytov for the paraphrased analysis here and ARM64
testing that resulted the approach here.

Differences from x86_64 -> (ppc64le, ARM64) in gis tests with
--replace_numeric_round lines removed from tests gis.gis_bugs_crashes and
gis.spatial_analysis_functions_buffer.

--- /source/mysql-test/suite/gis/r/gis_bugs_crashes.result	2017-07-21 06:23:33.762428753 +0300
+++ /build/build/mysql-test/var/60/log/gis_bugs_crashes.reject	2017-07-21 06:30:31.120689033 +0300
@@ -1424,20 +1424,20 @@
 POLYGON((0 15,5 0,25 0,30 15,15 25,0 15))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_of_elems), 1));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_of_elems), 1))
-POLYGON((15.000000795499957 3.8819664090000843,24.552786404500043 -0.8944271909999159,24.602840142211626 -0.9138847758624057,24.651848488083576 -0.9374382778350313,24.68956904131013 -0.9476016321993868,24.725680292556177 -0.961638548576301,24.77802155092662 -0.9714341087341194,24.83005135234607 -0.9854529198092623,24.869480168185856 -0.988549181756253,24.9080134293311 -0.9957602476583283,24.960800670876974 -0.9957203886880442,25.014042950796863 -0.9999013929047789,25.053829737719678 -0.9956498621464229,25.09351179301379 -0.995618172075694,25.144929938646055 -0.9859150899698634,25.197556222938477 -0.9802915580470347,25.236357263667767 -0.9686589396187312,25.27579244740165 -0.9612172106013335,25.32407326559291 -0.9423615320937491,25.374340400864735 -0.9272913588945115,25.41077408056943 -0.9085040201644157,25.448583176584915 -0.8937410887303918,25.49215514110493 -0.8665391798604043,25.53837392083365 -0.8427060705644654,25.571110658225003 -0.8172508019757897,25.605938309783095 -0.7955116370847162,25.64340270244788 -0.7610383156635809,25.684069527764475 -0.729416808953626,25.711870449381554 -0.6980408363256528,25.742443309873515 -0.6699088980033491,25.772634026298544 -0.6294633858229352,25.806464586457874 -0.5912823951288695,25.828269533086072 -0.5549258268736386,25.853401085789624 -0.5212548194243296,25.875399599279746 -0.4763433154068152,25.901390117221936 -0.43300791745027806,25.916302203262003 -0.39283300545914124,25.934993617842228 -0.35466453811214743,25.948194154856484 -0.3069123404970965,25.9656127982688 -0.2599844684197425,25.97297277659234 -0.217260979762059,25.98441333449074 -0.17587036952489246,25.988524918699426 -0.12698329989581847,25.99694509804366 -0.07810551508514645,25.996321582660034 -0.03427714921997431,25.999959719934076 0.00897543922952386,25.995018670951374 0.05730758558650476,25.994319786195412 0.1064338422697801,25.98555754526659 0.1498720543473131,25.981097828286487 0.19351240614374826,25.967445939436363 0.23965910557190329,25.957826285221152 0.2873478855663454,23.177098224213704 9.55643874862649,30.52999894000318 14.152001695994912,30.6765730659824 14.263624493626264,30.800181850636 14.400242544095745,30.89662956393401 14.557218535754364,30.962642421022533 14.729224134665076,30.995979706343796 14.91042084756305,30.995509831641094 15.094658201472038,30.961248746164355 15.27568251304255,30.894359395294828 15.447349161224063,30.79711224596506 15.603831157967637,30.672808218784507 15.739816937313561,30.52566664283362 15.850690649185726,30.360682036346724 15.932688838068078,30.183454574666214 15.983028188321189,30 16,19.677033490885258 15.999998676354103,15.92847669088526 25.371390676354103,15.8453224450135 25.5342564589749,15.733900708082256 25.679256763438072,15.597937410913687 25.801542795257895,15.441979151447788 25.897025322767142,15.271241156999427 25.962511420581393,15.091432887621451 25.995811240678275,14.90856711237855 25.995811240678275,14.728758843000575 25.962511420581393,14.558020848552212 25.897025322767142,14.402062589086313 25.801542795257895,14.266099291917746 25.679256763438072,14.154677554986502 25.5342564589749,14.07152330911474 25.371390676354103,10.32296650911474 15.999998676354103,0 16,-0.18473093896596693 15.982789133125083,-0.36310311873549117 15.931748960377504,-0.528976659628168 15.848636372994125,-0.6766419067832469 15.736312250329119,-0.8010159663790529 15.598642983426544,-0.8978176676507933 15.44036738713725,-0.963714928210761 15.266933581895811,-0.9964394501011175 15.084311459969465,-0.9948647985422624 14.89878719141599,-0.9590451757709032 14.716746843211665,-0.8902135553050953 14.544456559754108,-0.7907392408580822 14.38784687130818,-0.6640463107967063 14.25230855487221,-0.5144957554275266 14.142507074287456,7.6262013994373214 9.258085902160555,4.071523309114741 0.3713906763541037,4.018902171713515 0.19351240614374693,4.000040280065924 0.008975439229522573,4.01558666550926 -0.17587036952489368,4.065006382157773 -0.35466453811214854,4.146598914210377 -0.5212548194243305,4.257556690126487 -0.6699088980033499,4.394061690216905 -0.7955116370847167,4.551416823415085 -0.8937410887303923,4.724207552598352 -0.9612172106013338,4.906488206986212 -0.9956181720756941,5.091986570668903 -0.995760247658328,5.2743197074438255 -0.9616385485763005,5.447213595499958 -0.8944271909999159,15.000000795499957 3.8819664090000843))
+POLYGON((15.000000795499957 3.8819664090000843,24.552786404500043 -0.8944271909999159,24.602840142211626 -0.9138847758624057,24.651848488083576 -0.9374382778350313,24.68956904131013 -0.9476016321993868,24.725680292556177 -0.961638548576301,24.77802155092662 -0.9714341087341194,24.83005135234607 -0.9854529198092623,24.869480168185856 -0.988549181756253,24.9080134293311 -0.9957602476583283,24.960800670876974 -0.9957203886880442,25.014042950796863 -0.9999013929047789,25.053829737719678 -0.9956498621464229,25.09351179301379 -0.995618172075694,25.144929938646055 -0.9859150899698634,25.197556222938477 -0.9802915580470347,25.236357263667767 -0.9686589396187312,25.27579244740165 -0.9612172106013335,25.32407326559291 -0.9423615320937491,25.374340400864735 -0.9272913588945115,25.41077408056943 -0.9085040201644157,25.448583176584915 -0.8937410887303918,25.49215514110493 -0.8665391798604043,25.53837392083365 -0.8427060705644656,25.571110658225003 -0.8172508019757899,25.605938309783095 -0.7955116370847162,25.643402702447876 -0.7610383156635812,25.68406952776447 -0.7294168089536263,25.71187044938155 -0.6980408363256531,25.742443309873515 -0.6699088980033491,25.77263402629854 -0.6294633858229353,25.80646458645787 -0.5912823951288696,25.82826953308607 -0.5549258268736387,25.853401085789624 -0.5212548194243296,25.875399599279746 -0.4763433154068152,25.901390117221936 -0.43300791745027806,25.916302203262003 -0.3928330054591413,25.934993617842228 -0.35466453811214743,25.948194154856484 -0.3069123404970965,25.9656127982688 -0.25998446841974254,25.97297277659234 -0.21726097976205905,25.98441333449074 -0.17587036952489246,25.988524918699426 -0.12698329989581852,25.99694509804366 -0.0781055150851465,25.996321582660034 -0.034277149219974365,25.999959719934076 0.00897543922952386,25.995018670951374 0.05730758558650471,25.994319786195412 0.10643384226978005,25.98555754526659 0.14987205434731304,25.981097828286487 0.19351240614374826,25.967445939436363 0.23965910557190329,25.957826285221152 0.2873478855663454,23.177098224213704 9.55643874862649,30.52999894000318 14.152001695994912,30.6765730659824 14.263624493626264,30.800181850636 14.400242544095745,30.89662956393401 14.557218535754364,30.962642421022533 14.729224134665076,30.995979706343796 14.91042084756305,30.995509831641094 15.094658201472038,30.961248746164355 15.27568251304255,30.894359395294828 15.447349161224063,30.79711224596506 15.603831157967637,30.672808218784507 15.739816937313561,30.52566664283362 15.850690649185726,30.360682036346724 15.932688838068078,30.183454574666214 15.983028188321189,30 16,19.677033490885258 15.999998676354103,15.92847669088526 25.371390676354103,15.8453224450135 25.5342564589749,15.733900708082256 25.679256763438072,15.597937410913687 25.801542795257895,15.441979151447788 25.897025322767142,15.271241156999427 25.962511420581393,15.091432887621451 25.995811240678275,14.90856711237855 25.995811240678275,14.728758843000575 25.962511420581393,14.558020848552212 25.897025322767142,14.402062589086313 25.801542795257895,14.266099291917746 25.679256763438072,14.154677554986502 25.5342564589749,14.07152330911474 25.371390676354103,10.32296650911474 15.999998676354103,0 16,-0.18473093896596693 15.982789133125083,-0.36310311873549117 15.931748960377504,-0.528976659628168 15.848636372994125,-0.6766419067832469 15.736312250329119,-0.8010159663790529 15.598642983426544,-0.8978176676507933 15.44036738713725,-0.963714928210761 15.266933581895811,-0.9964394501011175 15.084311459969465,-0.9948647985422624 14.89878719141599,-0.9590451757709032 14.716746843211665,-0.8902135553050953 14.544456559754108,-0.7907392408580822 14.38784687130818,-0.6640463107967063 14.25230855487221,-0.5144957554275266 14.142507074287456,7.6262013994373214 9.258085902160555,4.071523309114741 0.3713906763541037,4.018902171713515 0.19351240614374693,4.000040280065924 0.008975439229522573,4.01558666550926 -0.17587036952489368,4.065006382157773 -0.35466453811214854,4.146598914210377 -0.5212548194243305,4.257556690126487 -0.6699088980033499,4.394061690216905 -0.7955116370847167,4.551416823415085 -0.8937410887303923,4.724207552598352 -0.9612172106013338,4.906488206986212 -0.9956181720756941,5.091986570668903 -0.995760247658328,5.2743197074438255 -0.9616385485763005,5.447213595499958 -0.8944271909999159,15.000000795499957 3.8819664090000843))
 SET @buf = ST_BUFFER(ST_GEOMFROMTEXT(@star_of_elems), 1);
 SELECT st_area(@buf);
 st_area(@buf)
 373.46939430619625
 SELECT ST_ASTEXT(ST_BUFFER(@buf, 1));
 ST_ASTEXT(ST_BUFFER(@buf, 1))
-POLYGON((15.000000290155196 2.7639326356812854,24.10557274941397 -1.7888543522067706,24.190465624402687 -1.826480651006177,24.20450880763201 -1.8319397124452754,24.2186765917243 -1.838749604849458,24.327464375084784 -1.8791490054483488,24.327265107088873 -1.8796616405935884,24.36337635833492 -1.8936985569705027,24.377432904452505 -1.8977094869125704,24.391688354132036 -1.9030037622545586,24.42940890735859 -1.9131671166189141,24.429567186350532 -1.9125796756101496,24.541726040690342 -1.9445733547666615,24.55563178619066 -1.9471757867835535,24.569891218394535 -1.9510184042287908,24.685629868698165 -1.9709769806412392,24.68553468103452 -1.9714856282046784,24.724067942179765 -1.9786966941067539,24.737663156331493 -1.979951916315987,24.751764468567117 -1.9823837919504457,24.7911932844069 -1.9854800538974362,24.791238498823798 -1.9849042786731075,24.908768516313366 -1.9957599625801121,24.92198987082111 -1.9957499793045894,24.935756067017902 -1.996832265045962,25.05462794924518 -1.9951640053093578,25.054628336995563 -1.9956495432659704,25.094310392289675 -1.9956178531952415,25.106974789506733 -1.9944276118346818,25.120295898930813 -1.9942405257024598,25.160082685853627 -1.9899889949441039,25.16002462314325 -1.9894456309612925,25.278948167323914 -1.978274445185837,25.291009452112373 -1.9759983686147133,25.303809171072434 -1.974630690844715,25.42170838156391 -1.9508709191770726,25.421792271895285 -1.9513154705203788,25.461227455629167 -1.943873741502981,25.472555538110104 -1.9406235685422784,25.484729850482733 -1.9381701033976824,25.523530891212022 -1.9265374849693786,25.523381616619808 -1.9260395738956082,25.639575748583034 -1.8927008174251858,25.65007109300261 -1.8886019465357586,25.661514028409 -1.8851699042451564,25.774338674315157 -1.839623201622056,25.774491077496407 -1.8400135188526585,25.812300173511893 -1.8252505874186347,25.82197928512949 -1.8203913123285647,25.83265309543996 -1.8160823770710004,25.869086775144652 -1.7972950383409043,25.86886280852198 -1.7968607070972782,25.978154096852997 -1.7420067549025036,25.986932856023778 -1.7365261893694666,25.996686615408894 -1.731497088740942,26.10041491578313 -1.665232973453728,26.100617024517803 -1.6655567656795678,26.135444676075895 -1.6438176007884941,26.143301076538638 -1.6378305007733711,26.152214788204162 -1.632135858161702,26.184951525595515 -1.6066805895730263,26.18467286200952 -1.6063222143862361,26.283059518461783 -1.531383139969229,26.289992039413388 -1.5250040956013753,26.29791039513499 -1.518846596550859,26.388752027310243 -1.4336533566753693,26.38899094042534 -1.4339129995500939,26.419563800917302 -1.4057810612277901,26.42556885808445 -1.3991245619157515,26.432530124914276 -1.3925960716829135,26.460331046531355 -1.3612200990549401,26.460020162394827 -1.360944637777163,26.54380520507912 -1.2680887312579299,26.54891198163088 -1.2612473502744812,26.55492518360767 -1.2544616578581653,26.629401904826597 -1.1528794358718184,26.629657750562657 -1.1530703954268433,26.65478930326621 -1.1193993879775341,26.658972380407032 -1.1125491297156505,26.664051098007253 -1.1056221419971903,26.68585604463545 -1.0692655737419594,26.685528620652207 -1.0690692003540954,26.75145556177074 -0.9611390748487358,26.754792664946645 -0.9543261452951626,26.7589766287713 -0.9473476643186252,26.81414104741621 -0.8325121235581268,26.814395999910737 -0.8326369759062741,26.83308741449096 -0.7944685085592802,26.835610608648995 -0.7878191445818611,26.838891717269295 -0.7809888794419405,26.85380380330936 -0.7408139674508036,26.8534846612795 -0.7406955086123779,26.898843715462576 -0.6211096343650977,26.90062184765695 -0.6146773415091522,26.90311439831615 -0.6079654304114377,26.93659669557918 -0.4836111295733942,26.93683120216387 -0.4836759482881778,26.94827176006227 -0.4422853380510112,26.949355894784567 -0.4362190908227318,26.95109661980577 -0.4297538339981269,26.95845659812931 -0.3870303453404434,26.958152980569054 -0.38697804112249845,26.980895269627755 -0.25967820296300714,26.981372448603466 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 SELECT ST_ASTEXT(ST_CENTROID(@buf));
 ST_ASTEXT(ST_CENTROID(@buf))
 POINT(15.118234164053845 10.73934130957614)
 SELECT ST_ASTEXT(ST_CONVEXHULL(@buf));
 ST_ASTEXT(ST_CONVEXHULL(@buf))
-POLYGON((-0.9964394501011175 15.084311459969465,-0.9948647985422624 14.89878719141599,-0.9590451757709032 14.716746843211665,4.065006382157773 -0.35466453811214854,4.146598914210377 -0.5212548194243305,4.257556690126487 -0.6699088980033499,4.394061690216905 -0.7955116370847167,4.551416823415085 -0.8937410887303923,4.724207552598352 -0.9612172106013338,4.906488206986212 -0.9956181720756941,5.091986570668903 -0.995760247658328,25.014042950796863 -0.9999013929047789,25.09351179301379 -0.995618172075694,25.197556222938477 -0.9802915580470347,25.27579244740165 -0.9612172106013335,25.374340400864735 -0.9272913588945115,25.448583176584915 -0.8937410887303918,25.53837392083365 -0.8427060705644654,25.605938309783095 -0.7955116370847162,25.684069527764475 -0.729416808953626,25.742443309873515 -0.6699088980033491,25.806464586457874 -0.5912823951288695,25.853401085789624 -0.5212548194243296,25.901390117221936 -0.43300791745027806,25.934993617842228 -0.35466453811214743,30.962642421022533 14.729224134665076,30.995979706343796 14.91042084756305,30.995509831641094 15.094658201472038,30.961248746164355 15.27568251304255,30.894359395294828 15.447349161224063,30.79711224596506 15.603831157967637,30.672808218784507 15.739816937313561,30.52566664283362 15.850690649185726,15.597937410913687 25.801542795257895,15.441979151447788 25.897025322767142,15.271241156999427 25.962511420581393,15.091432887621451 25.995811240678275,14.90856711237855 25.995811240678275,14.728758843000575 25.962511420581393,14.558020848552212 25.897025322767142,14.402062589086313 25.801542795257895,-0.528976659628168 15.848636372994125,-0.6766419067832469 15.736312250329119,-0.8010159663790529 15.598642983426544,-0.8978176676507933 15.44036738713725,-0.963714928210761 15.266933581895811,-0.9964394501011175 15.084311459969465))
+POLYGON((-0.9964394501011175 15.084311459969465,-0.9948647985422624 14.89878719141599,-0.9590451757709032 14.716746843211665,4.065006382157773 -0.35466453811214854,4.146598914210377 -0.5212548194243305,4.257556690126487 -0.6699088980033499,4.394061690216905 -0.7955116370847167,4.551416823415085 -0.8937410887303923,4.724207552598352 -0.9612172106013338,4.906488206986212 -0.9956181720756941,5.091986570668903 -0.995760247658328,25.014042950796863 -0.9999013929047789,25.09351179301379 -0.995618172075694,25.197556222938477 -0.9802915580470347,25.27579244740165 -0.9612172106013335,25.374340400864735 -0.9272913588945115,25.448583176584915 -0.8937410887303918,25.53837392083365 -0.8427060705644656,25.605938309783095 -0.7955116370847162,25.68406952776447 -0.7294168089536263,25.742443309873515 -0.6699088980033491,25.80646458645787 -0.5912823951288696,25.853401085789624 -0.5212548194243296,25.901390117221936 -0.43300791745027806,25.934993617842228 -0.35466453811214743,30.962642421022533 14.729224134665076,30.995979706343796 14.91042084756305,30.995509831641094 15.094658201472038,30.961248746164355 15.27568251304255,30.894359395294828 15.447349161224063,30.79711224596506 15.603831157967637,30.672808218784507 15.739816937313561,30.52566664283362 15.850690649185726,15.597937410913687 25.801542795257895,15.441979151447788 25.897025322767142,15.271241156999427 25.962511420581393,15.091432887621451 25.995811240678275,14.90856711237855 25.995811240678275,14.728758843000575 25.962511420581393,14.558020848552212 25.897025322767142,14.402062589086313 25.801542795257895,-0.528976659628168 15.848636372994125,-0.6766419067832469 15.736312250329119,-0.8010159663790529 15.598642983426544,-0.8978176676507933 15.44036738713725,-0.963714928210761 15.266933581895811,-0.9964394501011175 15.084311459969465))
 SELECT ST_ASTEXT(ST_ENVELOPE(@buf));
 ST_ASTEXT(ST_ENVELOPE(@buf))
 POLYGON((-0.9964394501011175 -0.9999013929047789,30.995979706343796 -0.9999013929047789,30.995979706343796 25.995811240678275,-0.9964394501011175 25.995811240678275,-0.9964394501011175 -0.9999013929047789))

--- /source/mysql-test/suite/gis/r/spatial_analysis_functions_buffer.result	2017-07-21 06:23:33.766428813 +0300
+++ /build/build/mysql-test/var/60/log/spatial_analysis_functions_buffer.reject	2017-07-21 06:30:35.812759413 +0300
@@ -118,7 +118,7 @@
 LINESTRING(0 5,15 25,0 25)
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_lines_near_horizontal), 2));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_lines_near_horizontal), 2))
-POLYGON((5.097759137044168 9.608963759835378,23.971008489144946 -1.7149858514250884,24.325357414501106 -1.8827791643821026,24.70563247607407 -1.978218329926633,25.097219916508294 -1.997635674449703,25.485071250072664 -1.940285000290664,25.854281567527835 -1.8083702616948187,26.190662323429528 -1.606960868087768,26.481286593972953 -1.3437968695141418,26.714985851425087 -1.0289915108550536,26.882779164382104 -0.6746425854988932,26.978218329926634 -0.294367523925931,26.997635674449704 0.09721991650829534,26.940285000290665 0.4850712500726652,26.80837026169482 0.8542815675278337,26.606960868087768 1.19066232342953,26.343796869514144 1.4812865939729531,26.028991510855054 1.7149858514250884,7.155742122517564 13.038935607632403,16.714985851425087 28.971008489144946,16.880582122258122 29.319257110618747,16.976268115990727 29.69281221749806,16.9984867242907 30.07778697084875,16.946411974686725 30.45987000858517,16.821979735935425 30.824857467591027,16.629815752474318 31.159181009586757,16.37706368326596 31.450412221483944,16.073119537656034 31.687724639240923,15.729282380541067 31.862296219572052,15.358334291813676 31.967637297702602,14.974065195011828 31.99983183940306,14.59076021957528 31.95768301880512,14.222668653918282 31.842757710172116,13.883474230885488 31.65932823965099,13.585786437626904 31.414213562373096,-1.414213562373095 16.414213562373096,-1.6463445737142413 16.1355833499139,-1.824343939397651 15.81961526997919,-1.9423590580029886 15.476698321576386,-1.9965096041812367 15.118107579824843,-1.9850151133658063 14.755633472608594,-1.9082535232702063 14.401194112481479,-1.7687487473336538 14.066443430313068,-1.5710876886984984 13.762387995202046,-1.3217694232916177 13.499025119580162,-1.0289915108550531 13.285014148574911,1.6677882530092312 11.666946290256341,-1.7149858514250884 6.028991510855053,-1.882779164382102 5.674642585498895,-1.9782183299266327 5.294367523925932,-1.997635674449703 4.902780083491706,-1.9402850002906642 4.514928749927336,-1.808370261694819 4.145718432472167,-1.606960868087768 3.80933767657047,-1.3437968695141413 3.5187134060270466,-1.0289915108550527 3.2850141485749114,-0.6746425854988922 3.117220835617897,-0.29436752392593 3.0217816700733673,0.09721991650829634 3.002364325550297,0.4850712500726662 3.0597149997093362,0.8542815675278346 3.1916297383051817,1.1906623234295306 3.393039131912232,1.4812865939729538 3.656203130485859,1.7149858514250884 3.971008489144947,5.097759137044168 9.608963759835378),(4.926404247744273 17.09797712299808,3.7257698196681064 15.09691762934371,3.2255048638235344 15.397077739077343,4.926404247744273 17.09797712299808))
+POLYGON((5.097759137044168 9.608963759835378,23.971008489144946 -1.7149858514250884,24.325357414501106 -1.8827791643821026,24.70563247607407 -1.978218329926633,25.097219916508294 -1.997635674449703,25.485071250072664 -1.940285000290664,25.854281567527835 -1.8083702616948187,26.190662323429528 -1.606960868087768,26.481286593972953 -1.3437968695141418,26.714985851425087 -1.0289915108550536,26.882779164382104 -0.6746425854988932,26.978218329926634 -0.294367523925931,26.997635674449704 0.09721991650829534,26.940285000290665 0.4850712500726652,26.80837026169482 0.8542815675278337,26.606960868087768 1.19066232342953,26.343796869514144 1.4812865939729531,26.028991510855054 1.7149858514250884,7.155742122517564 13.038935607632403,16.714985851425087 28.971008489144946,16.880582122258122 29.319257110618747,16.976268115990727 29.69281221749806,16.9984867242907 30.07778697084875,16.946411974686725 30.45987000858517,16.821979735935425 30.824857467591027,16.629815752474318 31.159181009586757,16.37706368326596 31.450412221483944,16.073119537656034 31.687724639240923,15.729282380541067 31.862296219572052,15.358334291813676 31.967637297702602,14.974065195011828 31.99983183940306,14.59076021957528 31.95768301880512,14.222668653918282 31.842757710172116,13.883474230885488 31.65932823965099,13.585786437626904 31.414213562373096,-1.414213562373095 16.414213562373096,-1.6463445737142413 16.1355833499139,-1.824343939397651 15.81961526997919,-1.9423590580029886 15.476698321576386,-1.9965096041812367 15.118107579824843,-1.9850151133658063 14.755633472608594,-1.9082535232702063 14.401194112481479,-1.7687487473336538 14.066443430313068,-1.5710876886984984 13.762387995202046,-1.3217694232916177 13.499025119580162,-1.0289915108550531 13.285014148574911,1.6677882530092312 11.666946290256341,-1.7149858514250884 6.028991510855053,-1.882779164382102 5.674642585498895,-1.9782183299266327 5.294367523925932,-1.997635674449703 4.902780083491706,-1.9402850002906642 4.514928749927336,-1.808370261694819 4.145718432472167,-1.606960868087768 3.80933767657047,-1.3437968695141413 3.5187134060270466,-1.0289915108550527 3.2850141485749114,-0.6746425854988927 3.117220835617897,-0.29436752392593046 3.0217816700733673,0.0972199165082959 3.002364325550297,0.48507125007266577 3.0597149997093362,0.8542815675278341 3.1916297383051813,1.1906623234295306 3.393039131912232,1.4812865939729536 3.6562031304858587,1.7149858514250884 3.971008489144947,5.097759137044168 9.608963759835378),(4.926404247744273 17.09797712299808,3.7257698196681064 15.09691762934371,3.2255048638235344 15.397077739077343,4.926404247744273 17.09797712299808))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('MULTILINESTRING((0 0,-0.00 0),(0.0 0,0 -0))'), 10));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('MULTILINESTRING((0 0,-0.00 0),(0.0 0,0 -0))'), 10))
 POLYGON((9.807852804032304 -1.9509032201612824,10 0,9.807852804032311 1.9509032201612437,9.238795325112882 3.826834323650863,8.314696123025472 5.555702330195993,7.071067811865499 7.0710678118654515,5.555702330196048 8.314696123025435,3.8268343236509246 9.238795325112857,1.950903220161309 9.807852804032299,2.4808382392282727e-14 10,-1.9509032201612606 9.807852804032308,-3.826834323650879 9.238795325112875,-5.555702330196008 8.314696123025463,-7.071067811865463 7.071067811865487,-8.314696123025445 5.555702330196034,-9.238795325112862 3.826834323650909,-9.807852804032303 1.9509032201612921,-10 7.6571373978539e-15,-9.807852804032306 -1.9509032201612773,-9.238795325112868 -3.8268343236508944,-8.314696123025453 -5.555702330196022,-7.071067811865475 -7.0710678118654755,-5.55570233019602 -8.314696123025454,-3.826834323650897 -9.238795325112868,-1.950903220161282 -9.807852804032304,6.123233995736766e-16 -10,1.9509032201612833 -9.807852804032304,3.8268343236508984 -9.238795325112868,5.555702330196023 -8.314696123025453,7.0710678118654755 -7.071067811865475,8.314696123025453 -5.555702330196022,9.238795325112868 -3.826834323650898,9.807852804032304 -1.9509032201612824))
@@ -142,7 +142,7 @@
 POLYGON((5 0,7 10,0 15,10 15,15 25,20 15,30 15,22 10,25 0,15 5,5 0))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_elem_vertical), 0.5));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_elem_vertical), 0.5))
-POLYGON((14.999999925856745 4.44098304269668,24.77639320225002 -0.4472135954999579,24.862840146278085 -0.48081927428815,24.954006714665546 -0.49788012382916397,25.046755896506895 -0.4978090860378471,25.137896223700825 -0.4806086053006671,25.224291588292456 -0.44687054436519646,25.302969154891546 -0.39775581854235875,25.371221654936758 -0.3349544490016753,25.42670054289481 -0.26062740971216564,25.467496808921112 -0.1773322690560746,25.49220666724537 -0.08793518476244709,25.499979859967038 0.004487719614761125,25.490548914143243 0.09675620307187341,25.46423834544263 0.18569533817705186,15.464238345442629 25.18569533817705,15.422661222506749 25.26712822948745,15.366950354041126 25.339628381719038,15.298968705456844 25.400771397628947,15.220989575723893 25.44851266138357,15.135620578499712 25.481255710290696,15.045716443810724 25.497905620339136,14.954283556189274 25.497905620339136,14.864379421500287 25.481255710290696,14.779010424276105 25.44851266138357,14.701031294543156 25.400771397628947,14.633049645958872 25.339628381719034,14.577338777493251 25.26712822948745,14.535761654557371 25.18569533817705,4.53576165455737 0.18569533817705186,4.509451085856758 0.09675620307187346,4.500020140032961 0.004487719614761286,4.5077933327546305 -0.08793518476244684,4.532503191078886 -0.17733226905607427,4.573299457105188 -0.26062740971216525,4.628778345063243 -0.3349544490016749,4.697030845108452 -0.39775581854235836,4.775708411707543 -0.44687054436519613,4.8621037762991755 -0.4806086053006669,4.953244103493106 -0.49780908603784707,5.045993285334451 -0.497880123829164,5.137159853721913 -0.48081927428815024,5.223606797749979 -0.4472135954999579,14.999999925856745 4.44098304269668))
+POLYGON((14.999999925856745 4.44098304269668,24.77639320225002 -0.4472135954999579,24.862840146278085 -0.48081927428815,24.954006714665546 -0.49788012382916397,25.046755896506895 -0.4978090860378471,25.137896223700825 -0.4806086053006671,25.224291588292456 -0.44687054436519646,25.302969154891546 -0.39775581854235875,25.371221654936758 -0.3349544490016753,25.42670054289481 -0.26062740971216564,25.467496808921112 -0.17733226905607458,25.49220666724537 -0.08793518476244706,25.499979859967038 0.004487719614761153,25.490548914143243 0.09675620307187344,25.46423834544263 0.18569533817705186,15.464238345442629 25.18569533817705,15.422661222506749 25.26712822948745,15.366950354041126 25.339628381719038,15.298968705456844 25.400771397628947,15.220989575723893 25.44851266138357,15.135620578499712 25.481255710290696,15.045716443810724 25.497905620339136,14.954283556189274 25.497905620339136,14.864379421500287 25.481255710290696,14.779010424276105 25.44851266138357,14.701031294543156 25.400771397628947,14.633049645958872 25.339628381719034,14.577338777493251 25.26712822948745,14.535761654557371 25.18569533817705,4.53576165455737 0.18569533817705186,4.509451085856758 0.09675620307187346,4.500020140032961 0.004487719614761286,4.5077933327546305 -0.08793518476244684,4.532503191078886 -0.17733226905607427,4.573299457105188 -0.26062740971216525,4.628778345063243 -0.3349544490016749,4.697030845108452 -0.39775581854235836,4.775708411707543 -0.44687054436519613,4.8621037762991755 -0.4806086053006669,4.953244103493106 -0.49780908603784707,5.045993285334451 -0.497880123829164,5.137159853721913 -0.48081927428815024,5.223606797749979 -0.4472135954999579,14.999999925856745 4.44098304269668))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('POLYGON((3 3,5 5,7 3,3 3))'), 1));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('POLYGON((3 3,5 5,7 3,3 3))'), 1))
 POLYGON((2.2928932188134525 3.7071067811865475,2.1685303876974555 3.5555702330196035,2.076120467488714 3.382683432365091,2.0192147195967696 3.1950903220161293,2 3.000000000000001,2.0192147195967696 2.8049096779838725,2.076120467488713 2.6173165676349104,2.1685303876974547 2.444429766980398,2.2928932188134525 2.2928932188134525,2.444429766980398 2.1685303876974547,2.6173165676349104 2.076120467488713,2.804909677983872 2.0192147195967696,3 2,7 2,7.195090322016128 2.0192147195967696,7.38268343236509 2.076120467488713,7.555570233019602 2.1685303876974547,7.707106781186547 2.292893218813452,7.831469612302545 2.444429766980398,7.923879532511287 2.61731656763491,7.98078528040323 2.8049096779838716,8 2.9999999999999996,7.98078528040323 3.195090322016128,7.923879532511287 3.3826834323650896,7.831469612302546 3.555570233019602,7.707106781186548 3.7071067811865475,5.707106781186548 5.707106781186548,5.555570233019602 5.831469612302545,5.38268343236509 5.923879532511287,5.195090322016129 5.98078528040323,5 6,4.804909677983872 5.98078528040323,4.61731656763491 5.923879532511287,4.444429766980398 5.831469612302546,4.292893218813452 5.707106781186548,2.2928932188134525 3.7071067811865475))
@@ -243,7 +243,7 @@
 POLYGON((10 1010,0 1010,-195.09032201612712 990.7852804032307,-382.68343236508866 933.8795325112872,-555.5702330196012 841.4696123025459,-707.1067811865468 717.1067811865482,-831.4696123025448 565.5702330196028,-923.8795325112865 392.68343236509025,-980.7852804032304 205.0903220161286,-1000 10,-1000 0,-980.7852804032306 -195.09032201612771,-923.8795325112868 -382.68343236508946,-831.4696123025453 -555.5702330196021,-707.1067811865474 -707.1067811865476,-555.5702330196019 -831.4696123025454,-382.68343236508974 -923.8795325112867,-195.0903220161282 -980.7852804032304,0 -1000,10 -1000,205.09032201612834 -980.7852804032304,392.68343236508986 -923.8795325112867,565.5702330196023 -831.4696123025452,717.1067811865476 -707.1067811865474,841.4696123025452 -555.5702330196021,933.8795325112867 -382.6834323650898,990.7852804032304 -195.09032201612825,1010 0,1010 10,990.7852804032304 205.09032201612825,933.8795325112867 392.6834323650898,841.4696123025452 565.5702330196021,717.1067811865476 717.1067811865474,565.5702330196023 841.4696123025452,392.68343236508986 933.8795325112867,205.09032201612834 990.7852804032304,10 1010))
 SELECT ST_ASTEXT(ST_BUFFER(g, 20)) FROM gis_geometrycollection WHERE fid=103;
 ST_ASTEXT(ST_BUFFER(g, 20))
-POLYGON((15.000001034273785 -17.36068029213479,16.05572809000084 -17.88854381999832,17.056952410220337 -18.2777673989394,18.036969761671553 -18.748765556700626,18.791543359698245 -18.95207643670473,19.513605851123483 -19.23277097152601,20.560323430981825 -19.428653186496685,21.601027046921402 -19.709058396185245,22.38962089548151 -19.770985011857633,23.160268586621935 -19.915204953166562,24.215869804709342 -19.914396496147507,25.280859015937267 -19.998027858095575,26.07680280094823 -19.912975011519617,26.87023586027576 -19.912363441513882,27.898439945492665 -19.718318771355786,28.951124458769538 -19.605831160940696,29.72700731871155 -19.37322015141297,30.515848948032968 -19.224344212026676,31.48183399105669 -18.84712011122019,32.48680801729469 -18.54582717789023,33.215198543550905 -18.170226369641217,33.9716635316983 -17.874821774607845,34.843454553240534 -17.33060222403472,35.767478416673015 -16.854121411289313,36.421934267429464 -16.345232902905558,37.118766195661905 -15.910232741694333,37.868228891705265 -15.220630359922026,38.68139055528946 -14.588336179072526,39.23747994125983 -13.960736648624097,39.848866197470265 -13.398177960066992,40.45247868228838 -12.589495516167762,41.12929172915745 -11.825647902577392,41.565485691837615 -11.09835808861414,42.068021715792476 -10.425096388486605,42.50778732035646 -9.527207557571023,43.0278023444387 -8.660158349005561,43.32621505532017 -7.856199441815339,43.699872356844544 -7.0932907622429635,43.963765683363576 -6.138563136424185,44.31225596537602 -5.19968936839485,44.459455114067076 -4.345222020385013,44.688266689814796 -3.517407390497862,44.77050040107925 -2.539654230981104,44.93890196087321 -1.5621103017029268,44.926432690102686 -0.6856158706838436,44.99919439868154 0.1795087845904661,44.90037052573094 1.146355088366184,44.891418507444705 1.7755764067017321,46.003637012720034 3.0048508819149156,47.93259127868019 6.144370715087325,49.25284842045066 9.58448269330154,49.91959412687596 13.208416951261013,49.91019663282188 16.893164029440783,49.22497492328709 20.513650260851016,47.887187905896525 23.946983224481265,45.94224491930119 27.07662315935276,43.456164375690136 29.796338746271246,40.5133328566724 32.013812983714516,37.21364072693446 33.653776761361556,33.66909149332426 34.66056376642378,32.36810898233639 34.780922427548354,31.906448900269943 35.68512917949808,29.678014161645084 38.585135268761455,26.95874821827371 41.030855905157885,23.83958302895573 42.940506455342835,20.424823139988483 44.25022841162789,16.828657752428988 44.91622481356548,13.171342247570983 44.91622481356548,9.57517686001149 44.25022841162788,6.160416971044246 42.94050645534282,3.0412517817262703 41.030855905157864,0.32198583835490346 38.58513526876144,-1.9064489002699538 35.68512917949806,-2.3689402361660488 34.7792943350306,-3.6946187793193386 34.655782662501665,-7.262062374709823 33.63497920755008,-10.57953319256336 31.97272745988252,-13.532838135664944 29.72624500658238,-16.020319327581063 26.972859668530845,-17.956353353015867 23.80734774274502,-19.274298564215222 20.338671637916217,-19.928789002022352 16.686229199389274,-19.897295970845246 12.97574382831976,-19.180903515418063 9.33493686423328,-17.8042711061019 5.889131195082161,-15.814784817161637 2.756937426163592,-14.842110268168344 1.7163551167007156,-14.999194398681535 0.17950878459045144,-14.688266689814796 -3.5174073904978735,-13.699872356844537 -7.093290762242971,-12.068021715792472 -10.42509638848661,-9.848866197470263 -13.398177960066997,-7.118766195661898 -15.910232741694335,-3.971663531698301 -17.874821774607845,-0.5158489480329749 -19.224344212026672,3.129764139724236 -19.912363441513882,6.839731413378058 -19.915204953166562,10.48639414887651 -19.232770971526012,13.94427190999916 -17.88854381999832,15.000001034273785 -17.36068029213479))
+POLYGON((15.000001034273785 -17.36068029213479,16.05572809000084 -17.88854381999832,17.056952410220333 -18.2777673989394,18.03696976167155 -18.748765556700626,18.79154335969824 -18.95207643670473,19.513605851123483 -19.23277097152601,20.560323430981818 -19.428653186496685,21.601027046921395 -19.709058396185245,22.389620895481507 -19.770985011857633,23.160268586621935 -19.915204953166562,24.215869804709335 -19.914396496147507,25.280859015937263 -19.998027858095575,26.076802800948226 -19.912975011519617,26.87023586027576 -19.912363441513882,27.898439945492658 -19.718318771355786,28.95112445876953 -19.605831160940696,29.727007318711543 -19.37322015141297,30.515848948032968 -19.224344212026676,31.481833991056682 -18.84712011122019,32.486808017294685 -18.54582717789023,33.215198543550905 -18.170226369641217,33.9716635316983 -17.874821774607845,34.843454553240534 -17.33060222403472,35.767478416673015 -16.854121411289313,36.421934267429464 -16.345232902905558,37.118766195661905 -15.910232741694333,37.868228891705265 -15.220630359922028,38.681390555289454 -14.588336179072527,39.23747994125982 -13.9607366486241,39.848866197470265 -13.398177960066992,40.45247868228837 -12.589495516167764,41.129291729157444 -11.825647902577394,41.56548569183761 -11.098358088614141,42.068021715792476 -10.425096388486605,42.50778732035646 -9.527207557571025,43.0278023444387 -8.660158349005563,43.32621505532017 -7.85619944181534,43.699872356844544 -7.0932907622429635,43.963765683363576 -6.138563136424186,44.31225596537602 -5.199689368394851,44.459455114067076 -4.345222020385014,44.688266689814796 -3.517407390497862,44.77050040107925 -2.5396542309811054,44.93890196087321 -1.5621103017029279,44.926432690102686 -0.6856158706838449,44.99919439868154 0.1795087845904661,44.90037052573094 1.146355088366183,44.891418507444705 1.7755764067017321,46.003637012720034 3.0048508819149156,47.93259127868019 6.144370715087325,49.25284842045066 9.58448269330154,49.91959412687596 13.208416951261013,49.91019663282188 16.893164029440783,49.22497492328709 20.513650260851016,47.887187905896525 23.946983224481265,45.94224491930119 27.07662315935276,43.456164375690136 29.796338746271246,40.5133328566724 32.013812983714516,37.21364072693446 33.653776761361556,33.66909149332426 34.66056376642378,32.36810898233639 34.780922427548354,31.906448900269943 35.68512917949808,29.678014161645084 38.585135268761455,26.95874821827371 41.030855905157885,23.83958302895573 42.940506455342835,20.424823139988483 44.25022841162789,16.828657752428988 44.91622481356548,13.171342247570983 44.91622481356548,9.57517686001149 44.25022841162788,6.160416971044246 42.94050645534282,3.0412517817262703 41.030855905157864,0.32198583835490346 38.58513526876144,-1.9064489002699538 35.68512917949806,-2.3689402361660488 34.7792943350306,-3.6946187793193386 34.655782662501665,-7.262062374709823 33.63497920755008,-10.57953319256336 31.97272745988252,-13.532838135664937 29.72624500658239,-16.02031932758106 26.972859668530855,-17.956353353015867 23.807347742745026,-19.27429856421522 20.338671637916228,-19.92878900202235 16.686229199389285,-19.89729597084525 12.975743828319768,-19.180903515418063 9.334936864233288,-17.804271106101904 5.88913119508217,-15.814784817161645 2.756937426163601,-14.842110268168344 1.7163551167007156,-14.999194398681535 0.17950878459045144,-14.688266689814796 -3.5174073904978735,-13.699872356844537 -7.093290762242971,-12.068021715792472 -10.42509638848661,-9.848866197470263 -13.398177960066997,-7.118766195661898 -15.910232741694335,-3.971663531698301 -17.874821774607845,-0.5158489480329749 -19.224344212026672,3.129764139724236 -19.912363441513882,6.839731413378058 -19.915204953166562,10.48639414887651 -19.232770971526012,13.94427190999916 -17.88854381999832,15.000001034273785 -17.36068029213479))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('MULTIPOLYGON(((0 0,0 10,10 10,10 0,0 0)))'), -2));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT('MULTIPOLYGON(((0 0,0 10,10 10,10 0,0 0)))'), -2))
 POLYGON((8 2,8 8,2 8,2 2,8 2))
@@ -291,7 +291,7 @@
 GEOMETRYCOLLECTION(MULTIPOLYGON(((5 0,15 25,25 0,15 5,5 0)),((25 0,0 15,30 15,22 10,25 0))),POLYGON((5 0,7 10,0 15,10 15,15 25,20 15,30 15,22 10,25 0,15 5,5 0)),LINESTRING(15 25,15 10),MULTIPOINT((5 0),(25 0)),POINT(15 25))
 SELECT ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_collection_multilinestr), 1));
 ST_ASTEXT(ST_BUFFER(ST_GEOMFROMTEXT(@star_collection_multilinestr), 1))
-POLYGON((7.766188802991196 16,15.857492925712544 29.485504244572475,15.940291061129061 29.659628555309375,15.988134057995364 29.846406108749033,15.99924336214535 30.038893485424374,15.973205987343363 30.22993500429259,15.91098986796771 30.412428733795515,15.814907876237157 30.57959050479338,15.68853184163298 30.725206110741972,15.536559768828015 30.843862319620463,15.364641190270532 30.931148109786026,15.179167145906836 30.9838186488513,14.987032597505912 30.99991591970153,14.795380109787638 30.97884150940256,14.611334326959138 30.921378855086058,14.441737115442743 30.829664119825495,14.292893218813452 30.707106781186546,-0.7071067811865475 15.707106781186548,-0.7554688419207334 15.649058956452391,-0.8010159663790529 15.598642983426544,-0.8108044236437141 15.582638368941852,-0.8231722868571226 15.567791674956947,-0.82387353370499 15.56654688613857,-0.8247428766160511 15.56550790221807,-0.838215676583904 15.541084926404501,-0.86153056257408 15.499698608780829,-0.8978176676507933 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@grooverdan
MTR: test gis.spatial_analysis_functions_buffer
872e446 
Reverts parts of efe0284 and d4300b9 now that precision has been normalised
with compiler flags.

Signed-off-by: Daniel Black <daniel.black@au.ibm.com>
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I confirm the code being submitted is offered under the terms of the OCA, and that I am authorized to contribute it.

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Hi, thank you for your contribution. Please confirm this code is submitted under the terms of the OCA (Oracle's Contribution Agreement) you have previously signed by cutting and pasting the following text as a comment:
"I confirm the code being submitted is offered under the terms of the OCA, and that I am authorized to contribute it."
Thanks

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Hi, thank you for your contribution. Your code has been assigned to an internal queue. Please follow
bug http://bugs.mysql.com/bug.php?id=87223 for updates.
Thanks

@grooverdan grooverdan mentioned this pull request Jul 31, 2017
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