Compute the area covered by polygons
Usage
# S4 method for class 'giottoPolygon'
expanse(x, output = c("data.table", "named", "vector"), ...)
# S4 method for class 'giottoPolygon'
area(x, ...)Arguments
- x
giottoPolygon- output
one of
"data.table"(default),"named", or"vector"."data.table"returns adata.tablewith columnscell_IDandarea."named"returns a named numeric vector withcell_IDas names."vector"returns a plain unnamed numeric vector (terra-compatible).- ...
Arguments passed on to
terra::expanseunitcharacter. Output unit of area. One of "m", "km", or "ha"
transformlogical. If
TRUE, planar CRS are transformed to lon/lat for accuracybyValuelogical. If
TRUE, the area for each unique cell value is returnedzonesNULL or SpatRaster with the same geometry identifying zones in
xwidelogical. Should the results be in "wide" rather than "long" format?
usenameslogical. If
TRUElayers are identified by their names instead of their numbers
Details
Giotto's expanse() method dispatches on terra's generic. When the
underlying data is a SpatVector, transform defaults to FALSE and
CRS warnings are suppressed — both appropriate for biological coordinate
systems. When the underlying data is a non-terra representation (e.g. a
disk-backed store), the call is forwarded to a method for that class.
Examples
sl <- GiottoData::loadSubObjectMini("spatLocsObj")
gpoly <- GiottoData::loadSubObjectMini("giottoPolygon")
gpoints <- GiottoData::loadSubObjectMini("giottoPoints")
# area of polygons
head(expanse(gpoly))
#> cell_ID area
#> <char> <num>
#> 1: 100210519278873141813371229408401071444 115.38216
#> 2: 101161259912191124732236989250178928032 137.69959
#> 3: 101488859781016188084173008420811094152 56.25879
#> 4: 101523780333017320796881555775415156847 40.22940
#> 5: 102184699197574201819246996094734116255 97.00258
#> 6: 102893953956695364131894293580364005295 45.33285
# area of the convex hull
expanse(hull(sl))
#> Warning: [expanse] unknown CRS. Results can be wrong
#> [1] 199333.6
feature_hulls <- hull(gpoints, by = "feat_ID")
head(expanse(feature_hulls))
#> Warning: [expanse] unknown CRS. Results can be wrong
#> [1] 144798.7 187046.0 188143.6 210427.2 180407.1 179525.7
# output formats
expanse(gpoly, output = "named")
#> 100210519278873141813371229408401071444 101161259912191124732236989250178928032
#> 115.382156 137.699592
#> 101488859781016188084173008420811094152 101523780333017320796881555775415156847
#> 56.258785 40.229395
#> 102184699197574201819246996094734116255 102893953956695364131894293580364005295
#> 97.002577 45.332848
#> 102959391451552633212801591579971725014 103900749899182016118292452019873808199
#> 71.292382 88.371522
#> 104570855383158731814075192607294301741 104929374280991324709110264935409912418
#> 66.422317 79.931111
#> 105650545880174205232855885504121713476 107393799088150693125543893285009932508
#> 127.027294 95.667698
#> 108292802645853579875588341940198493384 109000884380615525233958453646681846731
#> 68.893156 34.568123
#> 109243397315976550107464572517681395607 109300326319237017972199936203700687945
#> 44.002485 28.509585
#> 110615983935499449765434338770904504245 11065258297873257226330942251431244138
#> 108.275150 73.819729
#> 110858042010405247711695373195937122852 110900719814678261966908552089216814729
#> 78.608663 145.048538
#> 111687473021757662663527126267334037424 112201175467804501210529603201546927780
#> 20.719544 28.778835
#> 112213939421632461263114182386133705127 1132915601442719251817312578799507532
#> 54.980361 57.290988
#> 113376516645503704162815748593947980208 114012541520472915573375160595131120695
#> 61.593386 39.112532
#> 114410116057448570663366123506131178703 114930507336509597805210103184305225198
#> 52.105403 51.045881
#> 115235047525370533075441381313256765131 115370283894795045523368609208878185314
#> 81.704714 168.285559
#> 11582702727048098295158267244657813862 116773984610486768651813739650149729993
#> 42.937577 141.422443
#> 116860147088450350976374609398998546737 118071411587380747913796380721014165557
#> 164.660053 88.381279
#> 119102272531447353986749088457842353881 120990022314951784111875169300823080595
#> 77.152979 43.167074
#> 121108122402850896937802185181656711412 122255482918389040447479973511863072680
#> 44.652023 49.536357
#> 122906612256038341059239630042273244949 123540785709544435621019288242840920053
#> 74.097684 93.333373
#> 123860671559578247432410194986927758864 126809950897128716226739975254707226975
#> 108.649889 3.625382
#> 126827073040370531574124290326181150621 126981423897188762239468136959275655616
#> 32.388099 116.489993
#> 127985245744460114911125195868071958750 129220219089532886548658463773454811807
#> 57.535530 92.338288
#> 12925323527075390484710711277617599454 129651421709116970796359170357376179456
#> 52.509047 41.150838
#> 130259975647043922765991420455945942093 130416595705865355812306620146726096256
#> 47.593223 57.158546
#> 130428604684362047522418850101908720496 130720172120660644879676230721263100142
#> 70.455928 25.063070
#> 130958457634120224230424649457895426168 131890283810453131150909184974528681288
#> 57.779990 47.941342
#> 132597437682399706723661851401607977802 133061403473432310288273623600023558748
#> 42.424001 53.835541
#> 133205338573668199366304513669599927883 133778108341983568319541396789501421324
#> 41.876606 55.195710
#> 134146760472988945324695838070256730703 134398773695365619188678200952912609063
#> 137.303108 69.164203
#> 134503679556257538045105223616434677584 134509424346276649608483685115101376571
#> 41.795739 67.310060
#> 134512816139291924739198129882869576276 134990717652400331091412355235091416313
#> 44.371163 46.254949
#> 135700485415388507953688477460595416178 136341171141277731884608634279863298546
#> 19.546489 81.625242
#> 137154375879163008723188861204335796821 137348923180371322628727011975895485209
#> 118.715161 82.471018
#> 137356600627014280700323828086313714576 138499019560758839217618265857052429787
#> 87.892114 69.612346
#> 138859376429590720661963324654447571708 140543565961583233746802451796981444137
#> 103.555573 88.695051
#> 141332891031031919409314720781277973961 14225193593112604305545027950864785906
#> 93.962734 19.435281
#> 143039077916367715716039603175706413532 143283083203972336774182962473799643189
#> 105.202436 152.572181
#> 143386081176260440019925196855300710659 143408196806895889016075556052288734233
#> 47.933664 156.543998
#> 144472141719392958381945362575889661097 145421744145915784890159499930205641713
#> 64.170943 63.638421
#> 145569625864836204034742390655246738820 14615917600474753437497051666515185188
#> 66.326260 106.778907
#> 146715357009983465209963560859286180117 147103070941083943163952951858791268261
#> 112.661813 112.902630
#> 148108075828579037531574808403709598660 148336156782096202859532636956126767457
#> 53.136703 39.287410
#> 150082699777048696177232440639953146354 150338819641781846748929553541898461633
#> 44.853020 78.877723
#> 15047348685047157337712322370654602141 151798130004305208790801168757831384604
#> 56.053503 46.070249
#> 15242486364109501724975900940581726845 15247055772869406897093633424720409278
#> 113.380182 25.782623
#> 152684748256642370929802439227360458069 153751792203577791006158581642177087065
#> 157.828400 65.594372
#> 15570957646572766699990093696758007165 156903360427876380453983412776771432685
#> 171.872443 27.492766
#> 157399406966791992829965288085698660671 15834776842182822801451197571763335013
#> 52.454251 92.875400
#> 159339871790082402253769291852207906892 159910867331779468466664357386427215132
#> 40.546921 80.775562
#> 160318430812610433362422897343020317434 162684318525520950869468479178769741207
#> 17.990194 48.474324
#> 162867077520458456121443579133970123729 16326589507615554063401897357427439030
#> 13.770289 115.135690
#> 164424478098970510930576318421517316799 165786478473465185470745991122188406667
#> 24.315644 97.226983
#> 166456955228473064319115194076209471689 166788256632929614638779193211391658357
#> 68.116633 101.073033
#> 167510831463246601254728331817431905249 167565166109688866385887526385589933736
#> 15.995823 43.848299
#> 167710327060928309829388429279250508392 167818783196654344295653476753505898360
#> 94.734965 78.376501
#> 168376325588102040437463621554621047372 169315824573918958644050687003673310184
#> 74.425205 119.146342
#> 170833460535439412738579124041592991444 172181421897607556322673704318102678295
#> 82.297781 101.410965
#> 173565652634409972151932833827926844389 173780780834031059819946658163431921979
#> 121.705213 30.474723
#> 174306823762889142173283452439684229948 175540604452034099044348476236813150837
#> 17.119168 151.719441
#> 175694775429793559431486664881241024950 176844289786228093052039491926955764947
#> 43.829745 191.541382
#> 17685062374745280598492217386845129350 177374477012547854406657016583166519897
#> 126.260435 36.689881
#> 177757177666889772027017950398587309639 17817477728742691260808256980746537959
#> 69.020409 54.050307
#> 17868848607867654301368031294266874310 17891772882124348027687846188117055017
#> 185.517103 101.842157
#> 179297712006471333306826676970515917851 180947508370750255585892730777436680945
#> 56.174526 121.983821
#> 182132384503107798660396708280285136358 182235958169292445695483205478317795477
#> 62.215237 159.424280
#> 183227745956657225549068107012033843521 183331095996852402573804086784904555362
#> 132.573959 42.641755
#> 183741411728734025380253058401004927281 185055418446250460085953045917995887188
#> 39.443430 29.879557
#> 185903314401459366597627436588666236388 18618890331367558707292305186664578314
#> 247.246029 121.401552
#> 186404099358317212811882499608798243906 18688512300947206776138477755507677854
#> 25.106711 38.583762
#> 186988931894710833920932112634285943415 187952627468949069447188707715308813657
#> 105.001640 74.286747
#> 188179457167181317036865075745680501410 188272552961210328960576362558402902404
#> 35.445152 139.179936
#> 188746395323628946245311425788373456614 188822519415877250518157478196002237563
#> 46.361149 60.738068
#> 1900302715660571356090444774019116326 190687643154627893064711601675234362640
#> 91.896979 129.837339
#> 190914215414932175319549828964695470199 191206312549658601825330101400584481202
#> 22.904326 33.473557
#> 192016641652249921747616528044078223022 192658791227385134589435190081371416880
#> 130.753727 53.185364
#> 192778585506432744690553563495715115375 19311588976622944909682910864587104989
#> 149.418428 132.050815
#> 193494943380536103911564584209623038894 194075738125756511305414653957971899665
#> 12.792682 78.129115
#> 195560489096124900863839745227342468697 199120674047319197163303511795306438224
#> 70.328907 33.537418
#> 203192161403397797138670022274582721699 204556634364633516361433624159635566159
#> 90.686201 19.452148
#> 204611834270911643022584999768859598082 205313689782471730907939471099462967378
#> 32.440515 90.376179
#> 20548793658722995878220914240286086757 206016050634629330546630679047044021073
#> 219.310104 101.376410
#> 206702762285684421190019779213421380201 208296155235436983609914508200288085338
#> 81.311602 45.864517
#> 210921176344645761631560197472087493107 212501669348639182111017279862555064555
#> 122.496632 54.147531
#> 214394514156259228118188949454902817376 215903882687682534993992774702450409922
#> 27.897431 126.962657
#> 216701996099683814512199402223708471323 21700385406808067007385352842128268009
#> 52.160437 81.601298
#> 217935684608659337114407628630185602063 217996462208701069168232210617040322639
#> 87.474158 122.075417
#> 218629898331681274111795089362460661925 21934936165997373583174173761929761438
#> 38.124635 62.559769
#> 219395460896730409504913370408145829680 220626094022262894991291197563012916160
#> 200.075231 76.312474
#> 221479125645462047472251944457654693279 221552844500892873527711708420843512418
#> 107.187281 189.431723
#> 221669638772738575000116137509912039310 221775490684285165655549810831578378190
#> 61.075352 44.449498
#> 222047855782557501653245982274520432658 222558564793590946281522728407706827280
#> 23.821415 38.340378
#> 22324195774794543740330922827922612078 224458376429228506642398057779371677646
#> 111.967876 95.682535
#> 225320076698585701230879835670228271140 22589134237962396239798326549117591973
#> 40.150629 150.355333
#> 226667648171626631993624597360362535576 226912346807310637711937183879196326571
#> 158.018954 70.179077
#> 227232155811404089141823608874580791245 227356122322603538491761885302392892043
#> 43.838012 29.885799
#> 229457572568694183703128077940694870639 230344318208995342827768566280706457626
#> 129.266905 137.371563
#> 230434995691599163145128681350572473545 231212643322278795528005770495251497705
#> 87.088326 103.063248
#> 231214965974920639621074459624115776485 231660546017839462615756171107600325424
#> 57.474822 61.101909
#> 232341148243064965949760007626810012851 233229703476821612486041386363745481186
#> 33.657407 38.653428
#> 233382175508626991409571538780521441397 234003732411085239787840498999176376451
#> 57.924050 177.706024
#> 234088357422223940809493872293907937063 23470744401352443589618734383441183930
#> 15.250413 36.841646
#> 234988593327199604253479621078255555503 23551753773108861958615969019645270616
#> 48.513825 87.425664
#> 235525236509310611219079834156467779332 235618384612800641161632285805461980617
#> 132.978824 66.737607
#> 236677629222667262221261861475728542818 236938169420664432126575547704304293443
#> 157.029775 54.854626
#> 237208479802011398022456526669115595941 238309699419057978548260502617868197180
#> 132.416601 37.131024
#> 239846537277340745174658842807578498270 240266318468784815782282035231012189978
#> 90.288613 35.586162
#> 240649020551054330404932383065726870513 24065553107572578810405955533838966091
#> 59.038520 95.582097
#> 242344253446335828801918911189454926407 244015124549889909957742476033146111487
#> 32.162960 100.569991
#> 244247765904337326625465691380839405459 244410583035254308944305978721579469225
#> 116.654919 28.754218
#> 244448312826260498647079278647004353269 244840145612854293464477850603474951260
#> 60.072974 102.246471
#> 245103083552800322536720574313609922881 246032583624178870926087715226493279333
#> 81.471684 20.977006
#> 246126973650386079946610175780694884246 2467888014556719520437642348850497467
#> 64.997885 54.027689
#> 24699651456008400222756535113165190693 247361386871565801975800133016251357782
#> 17.416627 67.521147
#> 247969201651378197344222393255993686662 248026342734562151407765229569772513183
#> 69.259391 75.810748
#> 250481714349085757816071122854700489348 251165453467855037835078154867769901116
#> 95.765004 25.195225
#> 251905496166492083168644493421091558216 253052486928807825512468515844100012460
#> 100.951886 44.630761
#> 254538897036257180617662178141894962698 254829253202043893331055483138743800247
#> 160.643637 179.393657
#> 255399242169888297270328346140653951261 257184545464839903394564555141875300987
#> 97.423910 215.156341
#> 2582675971475731682260721390861103474 25922583678755692656920964930662005596
#> 58.553909 29.777089
#> 261177732716438162305697512158250834806 262323915115773877344473192484876459225
#> 58.746361 121.143932
#> 262797098003740683881650619022037793005 262996653580953175020435707363716649390
#> 55.699201 89.429782
#> 263875000650313986266616666686991961034 263958103644625994793451997426584734716
#> 160.979431 145.446617
#> 264234489423886906860498828392801290668 265185306239991354232232246957204545228
#> 93.233779 83.193754
#> 26600094853800457409258487269921579081 266005163053960773010098888475281400503
#> 35.647268 158.733011
#> 266246243070401825856501948379131507953 266413162898429280572455841453688616870
#> 116.032780 124.781295
#> 266784614074408496658057365712205158914 266856617350510621690765662339614725825
#> 117.895490 22.248638
#> 26764248937762708816383106393244759234 268188723720442422020503054898954079256
#> 56.941543 62.493490
#> 269762584503067483382226769755792813261 271967915636064836314881508293335292245
#> 95.618526 112.839798
#> 273453901382597562433878618029414197004 273673567134859598195435250950149370161
#> 61.189989 148.845224
#> 274176126496863898679934791272921588227 275114654277609277360760057781974602468
#> 74.224374 80.251044
#> 275433384489110810553053224140654159944 275784684664527332374777211328350223506
#> 39.901354 66.450440
#> 275841288419653375629395126018772872016 27666206735695437393204421885258583706
#> 75.327080 43.292625
#> 277057315125198906319398446608128392905 277649896089373302104931776245681942029
#> 147.586155 38.198580
#> 27849375930353420407648187924644578710 279869243339430268002980976279350641444
#> 81.429289 67.505694
#> 280661554698226730422771895627995747059 281402768276240444401858895141644361656
#> 69.769232 119.652217
#> 281507924845092486101374634274198866453 282850891930907509412045175294442459530
#> 105.853346 101.714301
#> 283821893476134729825893155000887153128 28384214365488550451919004957861784305
#> 30.890972 87.606791
#> 284140281535622889625016165327980867101 284369037604804626865110888576050199330
#> 65.124539 27.064328
#> 285327092730254305898484549338981819019 286146294981380023269011675378975275188
#> 38.120760 40.075655
#> 286906689872367261752702769926754066848 287330377702310805971026616573810741665
#> 62.308542 80.001513
#> 287769191931929540682855969052193377568 287969199156100786397777302380341680560
#> 103.832092 142.686465
#> 288822108801800165318171357739905375883 289148615199370873797853262369404024216
#> 24.557224 64.228162
#> 29022983717691141416347581059842026237 290442965172011620870251146805010627671
#> 41.272696 58.873217
#> 291975341311453330406711526698967834209 292254379263157279159966458654907155929
#> 72.104235 6.660052
#> 292504201660417228678538217822983666799 293490979527928845906184572736930005899
#> 96.070015 145.968844
#> 293652672526983996543508493676572879068 293693386983964643482561813994426364527
#> 90.020228 37.489668
#> 293900582929631255788566880963197704396 29479908025566786754721409752134977949
#> 129.927467 134.536297
#> 295193149306421749943849825086053455411 29528151115077617700837505751448202323
#> 36.758667 20.868081
#> 296019945099320175547230863498668480924 297563171753100265814870270563920274574
#> 35.585220 70.229709
#> 29830797402170053137610418043225506847 298689167746167965915888767957052773818
#> 105.964373 25.159487
#> 298736543860310751956600241513285727995 299369249493863603085089713363428254253
#> 61.289897 78.716248
#> 301054712356664458042996323827909441002 301775007782900467662505750315226942375
#> 74.899171 17.922789
#> 30222355550742125173065032035537805062 304560432600831995659079356647103974886
#> 76.998708 75.030590
#> 304673565524465389880593944274656011132 304763943125750366158403753213031436047
#> 27.077454 51.461024
#> 304842190541754537761816256358565562302 305306955532868686456926844192964831687
#> 66.444366 71.757876
#> 305541713153000350491948015377322269301 305625923911364188380681674803716663189
#> 24.097374 62.408624
#> 30571638947438619177947320407779261750 306415949245581212081161219410047325001
#> 84.651353 57.801908
#> 307030440204593378842812081935039092344 307090767942904357946740728728278236688
#> 141.544944 65.071704
#> 307662886482854582941216578059098333084 307915098305811968258082436904262060268
#> 29.312598 108.802794
#> 307983214226701503881620469518487517765 31072896077757820678000109671990674373
#> 55.070164 254.011504
#> 311565496674213535805029947713320284697 311587331826654155209560142756469108973
#> 108.318436 97.225920
#> 31181189933655291443473789457874864875 313341882093478712453835418083823400203
#> 76.222028 219.411328
#> 313975735429362327941519981070086437594 314397389362641167108869069386457433770
#> 46.441821 83.046394
#> 3151102251621248215463444891373423271 315355495413290675346823717752991334334
#> 28.717752 24.335424
#> 31617660672408056199009792519270924934 316289522368890354495930310222776908199
#> 55.846265 99.011556
#> 316643138037436111979502485064115212429 318035034604626466273938282537515473359
#> 20.737471 70.343241
#> 318439340668767417720582355350205310941 318532784331621717580657927096623303776
#> 75.132632 19.092044
#> 3188909098022617910378369321966273882 318995879282318989627235045690211636294
#> 58.283696 63.382027
#> 321548286800507302842094370722988018222 322749018360113729239532727743897856655
#> 74.342376 114.644585
#> 322879686187630160969459793861944841206 323425294836234834327823003063686325779
#> 30.219673 26.280021
#> 323754550002953984063006506310071917306 323855205301861459598863982849418740052
#> 170.236248 63.422589
#> 32422253415776258079819139802733069941 324637742389179243201282186318588452049
#> 116.251979 48.900846
#> 324877467507432389063800715005904969237 32535304551014256860916796345005841454
#> 90.521441 60.011770
#> 325896428237586114830946437310469001833 326170763238444727334902609993698047961
#> 75.488249 54.209468
#> 328891726607418454659643302361160567789 32944790627105381861829233020285020883
#> 37.091655 84.761878
#> 330404862840097944636249994320280071064 330850389163886577071114668277958486114
#> 31.721098 97.065126
#> 331580323004945087311483453179965743309 331675815801204232182324913632094035806
#> 47.004961 32.547595
#> 333572131402082081028422604080773296689 334145636372571939036618142120397559762
#> 139.575862 11.718641
#> 334199301045926627171760429217123408914 334356931858742201981142004419227940530
#> 91.200086 62.877798
#> 335295524680090725199231409883288198017 336962253419631471227152861374195773820
#> 92.867375 9.942683
#> 339814056401091912617621500767389941735 34878460784377706458972107228242295523
#> 111.628109 46.906968
#> 35118346554513854436644695033199584696 35350560665352546376343309949550148561
#> 126.742572 146.659695
#> 36648998424868029072860674954666559763 37479641932811677921943248732877032868
#> 121.516530 128.993617
#> 38331878467780982488753572125978727953 38916994407041414328293715049546370868
#> 49.814376 159.781874
#> 39033692777509843205319060807429911979 39092428598574451585825742476177899084
#> 105.119283 76.190982
#> 3942785923272820952395109293003259310 40893553496134212159002004537795080008
#> 64.170765 74.998533
#> 41054036480225512911591384807281320971 41792385033810443584506825240935851959
#> 60.373170 54.510092
#> 42056064196611141769700924475836317519 43149905814879257254044429661772116678
#> 74.993138 74.356919
#> 43731708947199618294982749003938483862 44008904762684544698290274594786253864
#> 141.118014 65.791923
#> 44197902970141946871502798467323259089 44721220002773982161418195292536576043
#> 72.891288 139.330262
#> 44800312482364429019010873942090508992 45132055669603860975170270958616474203
#> 54.700658 20.005007
#> 47275912178029130797780898068213599096 48024672048124996997588408479044670509
#> 94.911861 91.686109
#> 48152965157308750991850607159706350880 48397968139053633868743221368648769526
#> 94.647883 147.515935
#> 49659261269402625560370048163327909098 51348907619842676963078202479438175138
#> 122.057396 39.560030
#> 52046521295547656906553376592693748387 5354320566326536115841810233457333218
#> 92.092400 163.831117
#> 53613579601853014930793381801962795926 56815638009315000170441964570512336625
#> 61.586632 117.874102
#> 57203625626451579261315887898923502046 57886540394173804425059553784879702260
#> 40.784218 39.639844
#> 59141517931138845718061638546803837463 6017441551851134235916601481192643500
#> 30.144736 66.180669
#> 60863868456807893930962592949762104949 61273130520076218830774520817874849090
#> 11.170534 56.022100
#> 62669443199671326763841071380380779477 6380671372744430258754116433861320161
#> 120.455304 157.455917
#> 64228015236811922665804882776457047292 65855854848879329159292019718060662708
#> 99.923896 176.239903
#> 66946836857814073236396205199912161961 67505083691358463281364224289464582799
#> 53.023597 36.134329
#> 67532821514617092397935003422482443295 68418314542386876178693610244900595267
#> 71.485715 113.977649
#> 68990549542278897227915268250541247751 69758036960578764659538567543488921480
#> 54.369377 65.763036
#> 70219882915166469874938407731799217344 71594783203305290534744951238212591740
#> 38.420173 66.186141
#> 71600478055455467653117564960659847487 72822579613387275003530123860517675400
#> 108.683300 49.961911
#> 73431468557394859280671604185501794778 74125701104049486882485321540287535703
#> 55.405510 109.453060
#> 74839862687032814962428783365592582127 74968218442850503187630737213712231283
#> 17.935675 76.790187
#> 75286702783716447443887872812098770697 75427879267941007278525459498051337848
#> 123.710744 31.263041
#> 75660428514717127988983246148828583482 75682347267697870039469591993208007445
#> 75.685700 40.072969
#> 76322781861215450124167009829890606622 76396616519260032039655319003749545565
#> 55.842580 44.135987
#> 77151711298730578178892667721058396928 77541886028463256801311974652160917274
#> 36.906334 96.058841
#> 77782228870577724567477221255169934206 78012909104745781869894200959280724483
#> 112.879696 35.377052
#> 79657539548156727931862352284967450950 79668971589879493465166271739355011800
#> 209.891465 58.217434
#> 7974460202504320202511564310548388122 81527318330034058749368671310130399347
#> 156.125202 83.515929
#> 81593876287340493013457914240003956286 84576212513852183046872073655366585876
#> 51.581023 89.286940
#> 85256332381047379632101125573323549097 86277139408727638500404865562141876167
#> 78.399934 103.823589
#> 86608057220384468155234792658531818493 87201732838895803160157966154040078721
#> 86.643317 64.811750
#> 87260224659312905497866017323180367450 87704531827902937263159273193361050752
#> 141.296392 89.394817
#> 8777587181320516093160667806451882030 87903363874776475366779322866396664731
#> 53.750554 53.189547
#> 88684037232090648725039839526491456412 88743795534206169429467675642537392511
#> 54.276573 100.814926
#> 88966929892701743590207517249832912256 90740652120142025598838838824737408007
#> 66.101887 179.872754
#> 91211463254554380221520030192271461128 93224512791273624539716048847627852106
#> 26.422177 59.277010
#> 93766399603521973873598911761678204002 94116688659316792325585723413480005969
#> 141.781207 65.796310
#> 94915957193797412218079317943892351685 9538866320245722231901445225545432644
#> 45.170500 71.155894
#> 95576868254612369736656993305254629824 95838678880751873613229512065975406368
#> 48.213360 243.277797
#> 95947958963963707263153541936375959179 96091484747656303270745913028146994621
#> 24.620358 99.923534
#> 9668748337336721830701975018211142813 9677424102111816817518421117250891895
#> 72.348473 82.358683
#> 97068595823890802071024838798130036179 97411078642927912684859796714759494710
#> 137.263692 151.990487
#> 9816437869021910185567097363182418837 98561957902191275233320065611022298397
#> 46.179693 73.811876
expanse(gpoly, output = "vector")
#> [1] 115.382156 137.699592 56.258785 40.229395 97.002577 45.332848
#> [7] 71.292382 88.371522 66.422317 79.931111 127.027294 95.667698
#> [13] 68.893156 34.568123 44.002485 28.509585 108.275150 73.819729
#> [19] 78.608663 145.048538 20.719544 28.778835 54.980361 57.290988
#> [25] 61.593386 39.112532 52.105403 51.045881 81.704714 168.285559
#> [31] 42.937577 141.422443 164.660053 88.381279 77.152979 43.167074
#> [37] 44.652023 49.536357 74.097684 93.333373 108.649889 3.625382
#> [43] 32.388099 116.489993 57.535530 92.338288 52.509047 41.150838
#> [49] 47.593223 57.158546 70.455928 25.063070 57.779990 47.941342
#> [55] 42.424001 53.835541 41.876606 55.195710 137.303108 69.164203
#> [61] 41.795739 67.310060 44.371163 46.254949 19.546489 81.625242
#> [67] 118.715161 82.471018 87.892114 69.612346 103.555573 88.695051
#> [73] 93.962734 19.435281 105.202436 152.572181 47.933664 156.543998
#> [79] 64.170943 63.638421 66.326260 106.778907 112.661813 112.902630
#> [85] 53.136703 39.287410 44.853020 78.877723 56.053503 46.070249
#> [91] 113.380182 25.782623 157.828400 65.594372 171.872443 27.492766
#> [97] 52.454251 92.875400 40.546921 80.775562 17.990194 48.474324
#> [103] 13.770289 115.135690 24.315644 97.226983 68.116633 101.073033
#> [109] 15.995823 43.848299 94.734965 78.376501 74.425205 119.146342
#> [115] 82.297781 101.410965 121.705213 30.474723 17.119168 151.719441
#> [121] 43.829745 191.541382 126.260435 36.689881 69.020409 54.050307
#> [127] 185.517103 101.842157 56.174526 121.983821 62.215237 159.424280
#> [133] 132.573959 42.641755 39.443430 29.879557 247.246029 121.401552
#> [139] 25.106711 38.583762 105.001640 74.286747 35.445152 139.179936
#> [145] 46.361149 60.738068 91.896979 129.837339 22.904326 33.473557
#> [151] 130.753727 53.185364 149.418428 132.050815 12.792682 78.129115
#> [157] 70.328907 33.537418 90.686201 19.452148 32.440515 90.376179
#> [163] 219.310104 101.376410 81.311602 45.864517 122.496632 54.147531
#> [169] 27.897431 126.962657 52.160437 81.601298 87.474158 122.075417
#> [175] 38.124635 62.559769 200.075231 76.312474 107.187281 189.431723
#> [181] 61.075352 44.449498 23.821415 38.340378 111.967876 95.682535
#> [187] 40.150629 150.355333 158.018954 70.179077 43.838012 29.885799
#> [193] 129.266905 137.371563 87.088326 103.063248 57.474822 61.101909
#> [199] 33.657407 38.653428 57.924050 177.706024 15.250413 36.841646
#> [205] 48.513825 87.425664 132.978824 66.737607 157.029775 54.854626
#> [211] 132.416601 37.131024 90.288613 35.586162 59.038520 95.582097
#> [217] 32.162960 100.569991 116.654919 28.754218 60.072974 102.246471
#> [223] 81.471684 20.977006 64.997885 54.027689 17.416627 67.521147
#> [229] 69.259391 75.810748 95.765004 25.195225 100.951886 44.630761
#> [235] 160.643637 179.393657 97.423910 215.156341 58.553909 29.777089
#> [241] 58.746361 121.143932 55.699201 89.429782 160.979431 145.446617
#> [247] 93.233779 83.193754 35.647268 158.733011 116.032780 124.781295
#> [253] 117.895490 22.248638 56.941543 62.493490 95.618526 112.839798
#> [259] 61.189989 148.845224 74.224374 80.251044 39.901354 66.450440
#> [265] 75.327080 43.292625 147.586155 38.198580 81.429289 67.505694
#> [271] 69.769232 119.652217 105.853346 101.714301 30.890972 87.606791
#> [277] 65.124539 27.064328 38.120760 40.075655 62.308542 80.001513
#> [283] 103.832092 142.686465 24.557224 64.228162 41.272696 58.873217
#> [289] 72.104235 6.660052 96.070015 145.968844 90.020228 37.489668
#> [295] 129.927467 134.536297 36.758667 20.868081 35.585220 70.229709
#> [301] 105.964373 25.159487 61.289897 78.716248 74.899171 17.922789
#> [307] 76.998708 75.030590 27.077454 51.461024 66.444366 71.757876
#> [313] 24.097374 62.408624 84.651353 57.801908 141.544944 65.071704
#> [319] 29.312598 108.802794 55.070164 254.011504 108.318436 97.225920
#> [325] 76.222028 219.411328 46.441821 83.046394 28.717752 24.335424
#> [331] 55.846265 99.011556 20.737471 70.343241 75.132632 19.092044
#> [337] 58.283696 63.382027 74.342376 114.644585 30.219673 26.280021
#> [343] 170.236248 63.422589 116.251979 48.900846 90.521441 60.011770
#> [349] 75.488249 54.209468 37.091655 84.761878 31.721098 97.065126
#> [355] 47.004961 32.547595 139.575862 11.718641 91.200086 62.877798
#> [361] 92.867375 9.942683 111.628109 46.906968 126.742572 146.659695
#> [367] 121.516530 128.993617 49.814376 159.781874 105.119283 76.190982
#> [373] 64.170765 74.998533 60.373170 54.510092 74.993138 74.356919
#> [379] 141.118014 65.791923 72.891288 139.330262 54.700658 20.005007
#> [385] 94.911861 91.686109 94.647883 147.515935 122.057396 39.560030
#> [391] 92.092400 163.831117 61.586632 117.874102 40.784218 39.639844
#> [397] 30.144736 66.180669 11.170534 56.022100 120.455304 157.455917
#> [403] 99.923896 176.239903 53.023597 36.134329 71.485715 113.977649
#> [409] 54.369377 65.763036 38.420173 66.186141 108.683300 49.961911
#> [415] 55.405510 109.453060 17.935675 76.790187 123.710744 31.263041
#> [421] 75.685700 40.072969 55.842580 44.135987 36.906334 96.058841
#> [427] 112.879696 35.377052 209.891465 58.217434 156.125202 83.515929
#> [433] 51.581023 89.286940 78.399934 103.823589 86.643317 64.811750
#> [439] 141.296392 89.394817 53.750554 53.189547 54.276573 100.814926
#> [445] 66.101887 179.872754 26.422177 59.277010 141.781207 65.796310
#> [451] 45.170500 71.155894 48.213360 243.277797 24.620358 99.923534
#> [457] 72.348473 82.358683 137.263692 151.990487 46.179693 73.811876