Spherical density estimation
Usage
# S3 method for class 'spherical'
density(x, ...)
density_calc(
x,
FUN = exponential_kamb,
n = 128L,
sigma = 3,
weights = NULL,
upper.hem = FALSE,
r = 1
)Arguments
- x
object of class
"Vec3","Line","Ray", or"Plane", where the rows are the observations and the columns are the coordinates.- ...
arguments passed to
density_calc()- FUN
density estimation function if
kamb=TRUE; one ofexponential_kamb()(the default), kamb_count, andschmidt_count().- n
integer. Grid size.
128by default.- sigma
numeric. Radius for Kamb circle used for counting. 3 by default.
- weights
(optional) numeric vector of length of
nrow(x). The relative weight to be applied to each input measurement. The array will be normalized to sum to 1, so absolute value of theweightsdo not affect the result. Defaults toNULL- upper.hem
logical. Whether the projection is shown for upper hemisphere (
TRUE) or lower hemisphere (FALSE, the default).- r
numeric. radius of stereonet circle
Examples
set.seed(20250411)
test <- rfb(100, mu = Line(120, 10), k = 5, A = diag(c(-1, 0, 1)))
density(x = test, n = 100, sigma = 3, weights = runif(100))
#> $x
#> [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#> [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#> [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#> [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#> [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#> [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#> [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#> [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#> [49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
#> [55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
#> [61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
#> [67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
#> [73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
#> [79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
#> [85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
#> [91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
#> [97] 0.93939394 0.95959596 0.97979798 1.00000000
#>
#> $y
#> [1] -1.00000000 -0.97979798 -0.95959596 -0.93939394 -0.91919192 -0.89898990
#> [7] -0.87878788 -0.85858586 -0.83838384 -0.81818182 -0.79797980 -0.77777778
#> [13] -0.75757576 -0.73737374 -0.71717172 -0.69696970 -0.67676768 -0.65656566
#> [19] -0.63636364 -0.61616162 -0.59595960 -0.57575758 -0.55555556 -0.53535354
#> [25] -0.51515152 -0.49494949 -0.47474747 -0.45454545 -0.43434343 -0.41414141
#> [31] -0.39393939 -0.37373737 -0.35353535 -0.33333333 -0.31313131 -0.29292929
#> [37] -0.27272727 -0.25252525 -0.23232323 -0.21212121 -0.19191919 -0.17171717
#> [43] -0.15151515 -0.13131313 -0.11111111 -0.09090909 -0.07070707 -0.05050505
#> [49] -0.03030303 -0.01010101 0.01010101 0.03030303 0.05050505 0.07070707
#> [55] 0.09090909 0.11111111 0.13131313 0.15151515 0.17171717 0.19191919
#> [61] 0.21212121 0.23232323 0.25252525 0.27272727 0.29292929 0.31313131
#> [67] 0.33333333 0.35353535 0.37373737 0.39393939 0.41414141 0.43434343
#> [73] 0.45454545 0.47474747 0.49494949 0.51515152 0.53535354 0.55555556
#> [79] 0.57575758 0.59595960 0.61616162 0.63636364 0.65656566 0.67676768
#> [85] 0.69696970 0.71717172 0.73737374 0.75757576 0.77777778 0.79797980
#> [91] 0.81818182 0.83838384 0.85858586 0.87878788 0.89898990 0.91919192
#> [97] 0.93939394 0.95959596 0.97979798 1.00000000
#>
#> $density
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7]
#> [1,] NA NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA NA
#> [19,] NA NA NA NA NA NA NA
#> [20,] NA NA NA NA NA NA NA
#> [21,] NA NA NA NA NA NA NA
#> [22,] NA NA NA NA NA NA NA
#> [23,] NA NA NA NA NA NA NA
#> [24,] NA NA NA NA NA NA NA
#> [25,] NA NA NA NA NA NA NA
#> [26,] NA NA NA NA NA NA NA
#> [27,] NA NA NA NA NA NA 0.1432088
#> [28,] NA NA NA NA NA NA 0.1648568
#> [29,] NA NA NA NA NA 0.1453830 0.1848342
#> [30,] NA NA NA NA NA 0.1628274 0.2012954
#> [31,] NA NA NA NA NA 0.1766500 0.2129117
#> [32,] NA NA NA NA 0.1420571 0.1858177 0.2189160
#> [33,] NA NA NA NA 0.1492827 0.1898351 0.2191062
#> [34,] NA NA NA 0.10715224 0.1520878 0.1887356 0.2138129
#> [35,] NA NA NA 0.10969766 0.1507006 0.1830401 0.2038357
#> [36,] NA NA NA 0.10910174 0.1457786 0.1736869 0.1903581
#> [37,] NA NA 0.06828746 0.10609370 0.1383348 0.1619435 0.1748479
#> [38,] NA NA 0.06815116 0.10168988 0.1296484 0.1493067 0.1589537
#> [39,] NA NA 0.06761971 0.09710693 0.1211682 0.1374006 0.1444025
#> [40,] NA NA 0.06777869 0.09367016 0.1144145 0.1278786 0.1329069
#> [41,] NA 0.04454857 0.06976632 0.09272368 0.1108882 0.1223353 0.1260849
#> [42,] NA 0.05181406 0.07469415 0.09554806 0.1119894 0.1222310 0.1253945
#> [43,] NA 0.06212119 0.08357647 0.10328945 0.1189502 0.1288324 0.1320839
#> [44,] NA 0.07620020 0.09727209 0.11690326 0.1327839 0.1431689 0.1471578
#> [45,] NA 0.09462053 0.11644088 0.13711373 0.1542495 0.1660041 0.1713569
#> [46,] NA 0.11776138 0.14151630 0.16439021 0.1838331 0.1978230 0.2051511
#> [47,] NA 0.14579779 0.17269430 0.19893982 0.2217447 0.2388334 0.2487439
#> [48,] NA 0.17870176 0.20993790 0.24071570 0.2679300 0.2889796 0.3020879
#> [49,] NA 0.21625748 0.25299628 0.28943948 0.3220952 0.3479684 0.3649102
#> [50,] NA 0.25808857 0.30143624 0.34463591 0.3837433 0.4153057 0.4367471
#> [51,] NA 0.30369477 0.35468321 0.40567708 0.4522201 0.4903423 0.5169877
#> [52,] NA 0.35249438 0.41206842 0.47183277 0.5267657 0.5723250 0.6049229
#> [53,] NA 0.40386873 0.47287798 0.54232285 0.6065693 0.6604510 0.6997981
#> [54,] NA 0.45720417 0.53639931 0.61636701 0.6908202 0.7539204 0.8008650
#> [55,] NA 0.51192731 0.60196028 0.69322682 0.7787525 0.8519810 0.9074268
#> [56,] NA 0.56752981 0.66895673 0.77223535 0.8696758 0.9539611 1.0188713
#> [57,] NA 0.62357976 0.73686486 0.85281025 0.9629888 1.0592834 1.1346864
#> [58,] NA 0.67971831 0.80523669 0.93444781 1.0581726 1.1674569 1.2544518
#> [59,] NA 0.73564196 0.87367866 1.01669760 1.1547611 1.2780454 1.3778055
#> [60,] NA 0.79107311 0.94181568 1.09911966 1.2522919 1.3906118 1.5043846
#> [61,] NA NA 1.00924554 1.18122931 1.3502410 1.5046441 1.6337429
#> [62,] NA NA 1.07549059 1.26243679 1.4479500 1.6194696 1.7652539
#> [63,] NA NA 1.13995498 1.34199126 1.5445550 1.7341688 1.8980091
#> [64,] NA NA 1.20189639 1.41893935 1.6389299 1.8475005 2.0307251
#> [65,] NA NA NA 1.49210853 1.7296548 1.9578530 2.1616748
#> [66,] NA NA NA 1.56012341 1.8150207 2.0632331 2.2886569
#> [67,] NA NA NA 1.62146051 1.8930780 2.1613023 2.4090148
#> [68,] NA NA NA NA 1.9617318 2.2494673 2.5197159
#> [69,] NA NA NA NA 2.0188813 2.3250232 2.6174905
#> [70,] NA NA NA NA NA 2.3853433 2.6990279
#> [71,] NA NA NA NA NA 2.4281031 2.7612179
#> [72,] NA NA NA NA NA 2.4515193 2.8014195
#> [73,] NA NA NA NA NA NA 2.8177339
#> [74,] NA NA NA NA NA NA 2.8092541
#> [75,] NA NA NA NA NA NA NA
#> [76,] NA NA NA NA NA NA NA
#> [77,] NA NA NA NA NA NA NA
#> [78,] NA NA NA NA NA NA NA
#> [79,] NA NA NA NA NA NA NA
#> [80,] NA NA NA NA NA NA NA
#> [81,] NA NA NA NA NA NA NA
#> [82,] NA NA NA NA NA NA NA
#> [83,] NA NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA NA
#> [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA
#> [13,] NA NA NA NA NA NA
#> [14,] NA NA NA NA NA NA
#> [15,] NA NA NA NA NA NA
#> [16,] NA NA NA NA NA NA
#> [17,] NA NA NA NA NA NA
#> [18,] NA NA NA NA NA NA
#> [19,] NA NA NA NA NA 0.05996006
#> [20,] NA NA NA NA 0.07414877 0.04829987
#> [21,] NA NA NA 0.08901181 0.07140941 0.04898071
#> [22,] NA NA NA 0.09369150 0.07930319 0.05861821
#> [23,] NA NA 0.11225454 0.10733434 0.09450354 0.07397759
#> [24,] NA 0.1244496 0.13007004 0.12668465 0.11384711 0.09211446
#> [25,] NA 0.1448240 0.15207523 0.14867210 0.13447919 0.11048032
#> [26,] 0.1495625 0.1679973 0.17532850 0.17056011 0.15396432 0.12699647
#> [27,] 0.1725378 0.1912018 0.19725080 0.19005874 0.17036356 0.14009833
#> [28,] 0.1945560 0.2120612 0.21573741 0.20540189 0.18227866 0.14875068
#> [29,] 0.2134877 0.2286971 0.22923143 0.21538825 0.18886373 0.15243476
#> [30,] 0.2277171 0.2397956 0.23675862 0.21938682 0.18980573 0.15110906
#> [31,] 0.2361982 0.2446334 0.23792473 0.21730939 0.18527697 0.14514743
#> [32,] 0.2384706 0.2430655 0.23287896 0.20955429 0.17586470 0.13525975
#> [33,] 0.2346368 0.2354792 0.22224902 0.19692800 0.16248454 0.12240221
#> [34,] 0.2253068 0.2227212 0.20705556 0.18055236 0.14628568 0.10768454
#> [35,] 0.2115187 0.2060057 0.18861422 0.16176587 0.12855592 0.09228221
#> [36,] 0.1946416 0.1868127 0.16843428 0.14202746 0.11063415 0.07735998
#> [37,] 0.1762721 0.1667853 0.14812165 0.12282957 0.09383642 0.06401220
#> [38,] 0.1581308 0.1476324 0.12929276 0.10562598 0.07939939 0.05322269
#> [39,] 0.1419670 0.1310436 0.11350347 0.09177709 0.06844314 0.04584463
#> [40,] 0.1294745 0.1186193 0.10219506 0.08251342 0.06195226 0.04259878
#> [41,] 0.1222239 0.1118171 0.09665709 0.07891556 0.06077268 0.04408607
#> [42,] 0.1216093 0.1119136 0.09800516 0.08190760 0.06561997 0.05080951
#> [43,] 0.1288118 0.1199806 0.10717053 0.09225977 0.07709416 0.06319979
#> [44,] 0.1447752 0.1368726 0.12489816 0.11059645 0.09569638 0.08163950
#> [45,] 0.1701948 0.1632230 0.15175019 0.13740569 0.12184350 0.10648157
#> [46,] 0.2055154 0.1994470 0.18811234 0.17304814 0.15587840 0.13806000
#> [47,] 0.2509387 0.2457499 0.23420250 0.21776447 0.19807515 0.17669208
#> [48,] 0.3064380 0.3021412 0.29008141 0.27168181 0.24864044 0.22267406
#> [49,] 0.3717823 0.3684535 0.35566665 0.33482124 0.30771349 0.27627311
#> [50,] 0.4465670 0.4443687 0.43075167 0.40710854 0.37536791 0.33771981
#> [51,] 0.5302527 0.5294508 0.51503103 0.48839085 0.45161871 0.40720521
#> [52,] 0.6222112 0.6231854 0.60813281 0.57846047 0.53643694 0.48488576
#> [53,] 0.7217742 0.7250245 0.70965708 0.67708629 0.62977299 0.57089803
#> [54,] 0.8282832 0.8344328 0.81921810 0.78405052 0.73158723 0.66538266
#> [55,] 0.9411344 0.9509313 0.93648551 0.89918710 0.84188481 0.76851493
#> [56,] 1.0598123 1.0741311 1.06121871 1.02241579 0.96074903 0.88053684
#> [57,] 1.1839063 1.2037520 1.19328709 1.15376468 1.08836603 1.00178367
#> [58,] 1.3131041 1.3396181 1.33266935 1.29337382 1.22503325 1.13269725
#> [59,] 1.4471576 1.4816261 1.47942568 1.44147294 1.37114390 1.27381787
#> [60,] 1.5858221 1.6296841 1.63363937 1.59832866 1.52714178 1.42574828
#> [61,] 1.7287679 1.7836214 1.79532766 1.76415939 1.69344355 1.58908562
#> [62,] 1.8754744 1.9430754 1.96432571 1.93902065 1.87032913 1.76432053
#> [63,] 2.0251140 2.1073650 2.14015240 2.12266768 2.05780599 1.95170751
#> [64,] 2.1764418 2.2753638 2.32187066 2.31440720 2.25545723 2.15111466
#> [65,] 2.3277056 2.4453895 2.50795864 2.51295376 2.46228809 2.36186590
#> [66,] 2.4765928 2.6151274 2.69620974 2.71630890 2.67658830 2.58259192
#> [67,] 2.6202283 2.7816037 2.88367938 2.92168192 2.89582942 2.81110870
#> [68,] 2.7552356 2.9412220 3.06669432 3.12546960 3.11661551 3.04434203
#> [69,] 2.8778637 3.0898721 3.24093510 3.32330830 3.33470265 3.27831502
#> [70,] 2.9841805 3.2231106 3.40159643 3.51020598 3.54509743 3.50821087
#> [71,] 3.0703228 3.3364090 3.54362163 3.68075392 3.74223774 3.72851699
#> [72,] 3.1327849 3.4254521 3.66199973 3.82940973 3.92025066 3.93324896
#> [73,] 3.1687257 3.4864674 3.75210539 3.95083476 4.07327413 4.11624445
#> [74,] 3.1762639 3.5165577 3.81005575 4.04026188 4.19582108 4.27150948
#> [75,] 3.1547343 3.5140058 3.83305392 4.09386444 4.28315892 4.39359252
#> [76,] NA 3.4785218 3.81968756 4.10909465 4.33167352 4.47795799
#> [77,] NA 3.4114037 3.77015201 4.08495988 4.33918605 4.52132838
#> [78,] NA NA 3.68637223 4.02220876 4.30519350 4.52196566
#> [79,] NA NA NA 3.92340503 4.23100826 4.47986636
#> [80,] NA NA NA 3.79287514 4.11978004 4.39685092
#> [81,] NA NA NA NA 3.97639202 4.27653629
#> [82,] NA NA NA NA NA 4.12418981
#> [83,] NA NA NA NA NA NA
#> [84,] NA NA NA NA NA NA
#> [85,] NA NA NA NA NA NA
#> [86,] NA NA NA NA NA NA
#> [87,] NA NA NA NA NA NA
#> [88,] NA NA NA NA NA NA
#> [89,] NA NA NA NA NA NA
#> [90,] NA NA NA NA NA NA
#> [91,] NA NA NA NA NA NA
#> [92,] NA NA NA NA NA NA
#> [93,] NA NA NA NA NA NA
#> [94,] NA NA NA NA NA NA
#> [95,] NA NA NA NA NA NA
#> [96,] NA NA NA NA NA NA
#> [97,] NA NA NA NA NA NA
#> [98,] NA NA NA NA NA NA
#> [99,] NA NA NA NA NA NA
#> [100,] NA NA NA NA NA NA
#> [,14] [,15] [,16] [,17] [,18] [,19]
#> [1,] NA NA NA NA NA NA
#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA NA NA NA
#> [7,] NA NA NA NA NA NA
#> [8,] NA NA NA NA NA NA
#> [9,] NA NA NA NA NA NA
#> [10,] NA NA NA NA NA NA
#> [11,] NA NA NA NA NA NA
#> [12,] NA NA NA NA NA NA
#> [13,] NA NA NA NA NA 0.127318417
#> [14,] NA NA NA NA 0.087319953 0.034566051
#> [15,] NA NA NA 0.061418744 0.011676161 0.000000000
#> [16,] NA NA 0.047726439 0.001195999 0.000000000 0.000000000
#> [17,] NA 0.044331605 0.001506199 0.000000000 0.000000000 0.000000000
#> [18,] 0.04917366 0.010854417 0.000000000 0.000000000 0.000000000 0.000000000
#> [19,] 0.02723085 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
#> [20,] 0.01938205 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
#> [21,] 0.02218112 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
#> [22,] 0.03232677 0.001743600 0.000000000 0.000000000 0.000000000 0.000000000
#> [23,] 0.04679892 0.014695244 0.000000000 0.000000000 0.000000000 0.000000000
#> [24,] 0.06295703 0.028542247 0.000000000 0.000000000 0.000000000 0.000000000
#> [25,] 0.07860783 0.041457272 0.001953148 0.000000000 0.000000000 0.000000000
#> [26,] 0.09204640 0.052093375 0.010335842 0.000000000 0.000000000 0.000000000
#> [27,] 0.10207230 0.059578061 0.015999095 0.000000000 0.000000000 0.000000000
#> [28,] 0.10798134 0.063487656 0.018739509 0.000000000 0.000000000 0.000000000
#> [29,] 0.10953382 0.063802609 0.018696225 0.000000000 0.000000000 0.000000000
#> [30,] 0.10690129 0.060845654 0.016285134 0.000000000 0.000000000 0.000000000
#> [31,] 0.10059559 0.055206417 0.012122740 0.000000000 0.000000000 0.000000000
#> [32,] 0.09138541 0.047657677 0.006944627 0.000000000 0.000000000 0.000000000
#> [33,] 0.08020727 0.039069689 0.001524675 0.000000000 0.000000000 0.000000000
#> [34,] 0.06807790 0.030329460 0.000000000 0.000000000 0.000000000 0.000000000
#> [35,] 0.05601540 0.022271544 0.000000000 0.000000000 0.000000000 0.000000000
#> [36,] 0.04497498 0.015625780 0.000000000 0.000000000 0.000000000 0.000000000
#> [37,] 0.03580368 0.010985561 0.000000000 0.000000000 0.000000000 0.000000000
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#> [81,] 4.808791182 4.734430362 4.660295e+00 4.59803322 4.55634290 4.540438506
#> [82,] 4.926391516 4.885647408 4.839340e+00 4.79885599 4.77310389 4.767873620
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#> [85,] 5.050518325 5.127614882 5.185743e+00 5.23345172 5.27836788 5.326390293
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#> [88,] 4.813875815 5.004512694 5.173195e+00 5.32329926 5.45862220 5.582665647
#> [89,] 4.661438596 4.881346517 5.081136e+00 5.26225520 5.42687610 5.577265526
#> [90,] NA 4.721249662 4.946595e+00 5.15459743 5.34575427 5.520971253
#> [91,] NA NA NA 5.00231262 5.21574523 5.412885663
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#> [96,] NA NA NA NA NA NA
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#> [100,] NA NA NA NA NA NA
#> [,26] [,27] [,28] [,29] [,30] [,31]
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#> [2,] NA NA NA NA NA NA
#> [3,] NA NA NA NA NA NA
#> [4,] NA NA NA NA NA NA
#> [5,] NA NA NA NA NA NA
#> [6,] NA NA NA 0.785002457 0.725390246 0.674551655
#> [7,] NA 0.64726156 0.58314475 0.527181843 0.479415146 0.439775611
#> [8,] 0.47731307 0.41745730 0.36543604 0.321090057 0.284167108 0.254382030
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#> [58,] 0.09575013 0.09262578 0.09472326 0.099914461 0.106245864 0.112006354
#> [59,] 0.16681117 0.16729189 0.17345415 0.182801310 0.193036966 0.202148836
#> [60,] 0.25053061 0.25486509 0.26534662 0.279082536 0.293405982 0.305977674
#> [61,] 0.34756757 0.35597630 0.37100483 0.389334824 0.407899536 0.424005736
#> [62,] 0.45846013 0.47111760 0.49087934 0.513969769 0.536891259 0.556568653
#> [63,] 0.58359837 0.60061573 0.62524186 0.653211267 0.680563172 0.703811528
#> [64,] 0.72319256 0.74460194 0.77415758 0.807071344 0.838886332 0.865675745
#> [65,] 0.87723999 0.90298140 0.93745733 0.975325803 1.011601055 1.041884970
#> [66,] 1.04549522 1.07540655 1.11471345 1.157492759 1.198198633 1.231930879
#> [67,] 1.22745025 1.26126052 1.30522510 1.352818892 1.397908298 1.435061062
#> [68,] 1.42233085 1.45965719 1.50801920 1.560279370 1.609694747 1.650273447
#> [69,] 1.62911434 1.66946320 1.72187299 1.778597414 1.832272107 1.876322793
#> [70,] 1.84657105 1.88934493 1.94536154 2.006287830 2.064139357 2.111744762
#> [71,] 2.07332734 2.11783882 2.17692996 2.241725360 2.303639482 2.354901231
#> [72,] 2.30794253 2.35343804 2.41498435 2.483233702 2.549040255 2.604047012
#> [73,] 2.54898713 2.59468298 2.65798982 2.729185221 2.798629041 2.857413166
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#>
#> attr(,"class")
#> [1] "list" "sph_density"