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 0.05841376
#> [28,] NA NA NA NA NA NA 0.06790907
#> [29,] NA NA NA NA NA 0.1131381 0.07954616
#> [30,] NA NA NA NA NA 0.1295108 0.09267105
#> [31,] NA NA NA NA NA 0.1465884 0.10677821
#> [32,] NA NA NA NA 0.2027678 0.1639229 0.12155534
#> [33,] NA NA NA NA 0.2225844 0.1812810 0.13691165
#> [34,] NA NA NA 0.2792991 0.2418012 0.1986645 0.15298785
#> [35,] NA NA NA 0.2995502 0.2605051 0.2163140 0.17014835
#> [36,] NA NA NA 0.3188000 0.2790246 0.2346935 0.18895751
#> [37,] NA NA 0.3704025 0.3374560 0.2979088 0.2544608 0.21014275
#> [38,] NA NA 0.3885784 0.3561402 0.3178924 0.2764252 0.23454821
#> [39,] NA NA 0.4065290 0.3756492 0.3398481 0.3014967 0.26308257
#> [40,] NA NA 0.4251010 0.3969034 0.3647322 0.3306301 0.29666486
#> [41,] NA 0.4651783 0.4452495 0.4208902 0.3935265 0.3647683 0.33617128
#> [42,] NA 0.4842611 0.4679803 0.4486049 0.4271802 0.4047870 0.38238607
#> [43,] NA 0.5058750 0.4942906 0.4809924 0.4665555 0.4514463 0.43595838
#> [44,] NA 0.5310036 0.5251130 0.5188957 0.5123799 0.5053480 0.49736695
#> [45,] NA 0.5605511 0.5612654 0.5630104 0.5652083 0.5669040 0.56689374
#> [46,] NA 0.5952942 0.6034093 0.6138509 0.6253943 0.6363142 0.64460736
#> [47,] NA 0.6358423 0.6520180 0.6717263 0.6930752 0.7135561 0.73035664
#> [48,] NA 0.6826074 0.7073557 0.7367280 0.7681660 0.7983858 0.82377447
#> [49,] NA 0.7357832 0.7694661 0.8087284 0.8503662 0.8903493 0.92429137
#> [50,] NA 0.7953337 0.8381707 0.8873881 0.9391746 0.9888024 1.03115793
#> [51,] NA 0.8609894 0.9130740 0.9721696 1.0339110 1.0929384 1.14347436
#> [52,] NA 0.9322494 0.9935739 1.0623566 1.1337428 1.2018197 1.26022516
#> [53,] NA 1.0083898 1.0788757 1.1570744 1.2377118 1.3144111 1.38031603
#> [54,] NA 1.0884749 1.1680068 1.2553098 1.3447605 1.4296108 1.50260975
#> [55,] NA 1.1713718 1.2598320 1.3559288 1.4537533 1.5462776 1.62595807
#> [56,] NA 1.2557680 1.3530688 1.4576908 1.5634931 1.6632503 1.74922628
#> [57,] NA 1.3401928 1.4463014 1.5592593 1.6727297 1.7793589 1.87130831
#> [58,] NA 1.4230435 1.5379973 1.6592094 1.7801636 1.8934260 1.99113091
#> [59,] NA 1.5026165 1.6265258 1.7560355 1.8844439 2.0042607 2.10764669
#> [60,] NA 1.5771463 1.7101816 1.8481595 1.9841642 2.1106457 2.21981742
#> [61,] NA NA 1.7872153 1.9339438 2.0778596 2.2113209 2.32658985
#> [62,] NA NA 1.8558725 2.0117116 2.1640075 2.3049681 2.42686780
#> [63,] NA NA 1.9144410 2.0797763 2.2410367 2.3901997 2.51948481
#> [64,] NA NA 1.9613075 2.1364810 2.3073463 2.4655566 2.60318169
#> [65,] NA NA NA 2.1802493 2.3613375 2.5295173 2.67659380
#> [66,] NA NA NA 2.2096454 2.4014588 2.5805221 2.73825175
#> [67,] NA NA NA 2.2234423 2.4262639 2.6170136 2.78659916
#> [68,] NA NA NA NA 2.4344819 2.6374944 2.82003002
#> [69,] NA NA NA NA 2.4250965 2.6406007 2.83694728
#> [70,] NA NA NA NA NA 2.6251917 2.83584342
#> [71,] NA NA NA NA NA 2.5904504 2.81540202
#> [72,] NA NA NA NA NA 2.5359904 2.77461731
#> [73,] NA NA NA NA NA NA 2.71292561
#> [74,] NA NA NA NA NA NA 2.63033933
#> [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 0.084966357
#> [20,] NA NA NA NA 0.055477404 0.040134516
#> [21,] NA NA NA 0.034675873 0.018435433 0.003165128
#> [22,] NA NA NA 0.005623914 0.000000000 0.000000000
#> [23,] NA NA 0.002470415 0.000000000 0.000000000 0.000000000
#> [24,] NA 0.009337437 0.000000000 0.000000000 0.000000000 0.000000000
#> [25,] NA 0.001718817 0.000000000 0.000000000 0.000000000 0.000000000
#> [26,] 0.02571993 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
#> [27,] 0.02908482 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
#> [28,] 0.03541273 0.003019063 0.000000000 0.000000000 0.000000000 0.000000000
#> [29,] 0.04402326 0.009228395 0.000000000 0.000000000 0.000000000 0.000000000
#> [30,] 0.05435188 0.017409003 0.000000000 0.000000000 0.000000000 0.000000000
#> [31,] 0.06600189 0.027257095 0.000000000 0.000000000 0.000000000 0.000000000
#> [32,] 0.07878051 0.038678593 0.003944168 0.000000000 0.000000000 0.000000000
#> [33,] 0.09271673 0.051796503 0.016782597 0.000000000 0.000000000 0.000000000
#> [34,] 0.10806075 0.066940143 0.032150985 0.005525264 0.000000000 0.000000000
#> [35,] 0.12526662 0.084618996 0.050583832 0.024838046 0.008330948 0.001321590
#> [36,] 0.14496088 0.105485061 0.072726052 0.048195509 0.032709931 0.026428791
#> [37,] 0.16790078 0.130288027 0.099286532 0.076237509 0.061841033 0.056188631
#> [38,] 0.19492618 0.159827483 0.130992577 0.109591314 0.096228219 0.090963406
#> [39,] 0.22690870 0.194905779 0.168548595 0.148838108 0.136307686 0.131026681
#> [40,] 0.26470159 0.236284312 0.212601082 0.194488831 0.182436549 0.176566614
#> [41,] 0.30909275 0.284644961 0.263710637 0.246968847 0.234892103 0.227701462
#> [42,] 0.36076292 0.340557553 0.322330611 0.306609643 0.293878257 0.284502129
#> [43,] 0.42025022 0.404453486 0.388791260 0.373644962 0.359534970 0.347015907
#> [44,] 0.48792193 0.476605290 0.463287983 0.448208648 0.431946554 0.415285852
#> [45,] 0.56395389 0.557111785 0.545872395 0.530331961 0.511145567 0.489361466
#> [46,] 0.64831793 0.645888698 0.636445540 0.619939040 0.597110362 0.569298209
#> [47,] 0.74077762 0.742664882 0.734753241 0.716840403 0.689756081 0.655145548
#> [48,] 0.84089253 0.846984588 0.840384339 0.820725565 0.788920512 0.746925415
#> [49,] 0.94803099 0.958216401 0.952773101 0.931156752 0.894347607 0.844604636
#> [50,] 1.06139112 1.075569320 1.071207229 1.047566231 1.005672213 0.948065985
#> [51,] 1.18002909 1.198116103 1.194842696 1.169259649 1.122409695 1.057082763
#> [52,] 1.30289337 1.324823259 1.322725944 1.295427202 1.243953543 1.171301249
#> [53,] 1.42886240 1.454586266 1.453823010 1.425163340 1.369582906 1.290234151
#> [54,] 1.55678307 1.586267653 1.587054025 1.557494412 1.498480476 1.413266509
#> [55,] 1.68550652 1.718734856 1.721330423 1.691412255 1.629759537 1.539673704
#> [56,] 1.81391793 1.850894270 1.855591425 1.825910596 1.762497524 1.668649526
#> [57,] 1.94095726 1.981717935 1.988835878 1.960020327 1.895772362 1.799340920
#> [58,] 2.06562850 2.110259686 2.120145719 2.092839510 2.028697288 1.930885246
#> [59,] 2.18699645 2.235658549 2.248697868 2.223554235 2.160449868 2.062445637
#> [60,] 2.30417090 2.357128385 2.373762482 2.351447301 2.290291480 2.193240324
#> [61,] 2.41628009 2.473934255 2.494686817 2.475892839 2.417574441 2.322562489
#> [62,] 2.52243624 2.585357419 2.610865442 2.596336393 2.541735181 2.449788148
#> [63,] 2.62169700 2.690652186 2.721698923 2.712261350 2.662273104 2.574370600
#> [64,] 2.71302769 2.788998792 2.826544328 2.823143877 2.778715973 2.695820930
#> [65,] 2.79526915 2.879457195 2.924661763 2.928399558 2.890573677 2.813675005
#> [66,] 2.86711604 2.960926917 3.015161808 3.027325744 2.997283155 2.927448144
#> [67,] 2.92711043 3.032118257 3.096959146 3.119044315 3.098148024 3.036579503
#> [68,] 2.97365461 3.091540051 3.168737971 3.202450162 3.192277323 3.140369117
#> [69,] 3.00504696 3.137509099 3.228935086 3.276171385 3.278528769 3.237911774
#> [70,] 3.01954372 3.168186047 3.275746830 3.338547962 3.355463125 3.328033418
#> [71,] 3.01544825 3.181641898 3.307165963 3.387636313 3.421317557 3.409237642
#> [72,] 2.99122776 3.175958019 3.321054148 3.421247476 3.474007043 3.479671719
#> [73,] 2.94565447 3.149360116 3.315254001 3.437026038 3.511163332 3.537123197
#> [74,] 2.87796400 3.100382874 3.287741667 3.432574929 3.530220234 3.579058603
#> [75,] 2.78801938 3.028056724 3.236815949 3.405627176 3.528551270 3.602714627
#> [76,] NA 2.932101868 3.161313387 3.354259530 3.503660605 3.605248524
#> [77,] NA 2.813108280 3.060831016 3.277134807 3.453420545 3.583948017
#> [78,] NA NA 2.935931022 3.173750733 3.376339331 3.536491827
#> [79,] NA NA NA 3.044664877 3.271832777 3.461240966
#> [80,] NA NA NA 2.891659944 3.140464682 3.357529921
#> [81,] NA NA NA NA 2.984116277 3.225918205
#> [82,] NA NA NA NA NA 3.068359292
#> [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 0.387673613
#> [14,] NA NA NA NA 0.3260821351 0.298445841
#> [15,] NA NA NA 0.268410516 0.2444881780 0.220185034
#> [16,] NA NA 0.21477399 0.194161524 0.1734246391 0.153630204
#> [17,] NA 0.16571218 0.14774959 0.129975919 0.1134718506 0.099191844
#> [18,] 0.122088167 0.10593435 0.09028959 0.076262008 0.0648477110 0.056849636
#> [19,] 0.069685712 0.05518820 0.04262597 0.033051434 0.0273363515 0.026096760
#> [20,] 0.025747532 0.01353383 0.00461979 0.000000000 0.0002685756 0.005942271
#> [21,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
#> [22,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
#> [23,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
#> [24,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
#> [25,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.007332230
#> [26,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.016009464
#> [27,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.024535676
#> [28,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0000000000 0.032477254
#> [29,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0035331585 0.039852773
#> [30,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0116773518 0.047060530
#> [31,] 0.000000000 0.00000000 0.00000000 0.000000000 0.0207558204 0.054763478
#> [32,] 0.000000000 0.00000000 0.00000000 0.002024171 0.0314062943 0.063749064
#> [33,] 0.000000000 0.00000000 0.00000000 0.016073577 0.0442866727 0.074784111
#> [34,] 0.000000000 0.00000000 0.00986379 0.033050509 0.0599554849 0.088484526
#> [35,] 0.003446153 0.01379618 0.03100244 0.053328091 0.0787765937 0.105216498
#> [36,] 0.028913320 0.03919357 0.05584456 0.077078617 0.1008598648 0.125040655
#> [37,] 0.058807078 0.06870875 0.08445574 0.104248329 0.1260440004 0.147704249
#> [38,] 0.093335228 0.10238847 0.11672194 0.134569647 0.1539217213 0.172679810
#> [39,] 0.132596190 0.14014974 0.15237973 0.167607264 0.1839018389 0.199242766
#> [40,] 0.176598436 0.18181649 0.19107062 0.202830153 0.2152982241 0.226576031
#> [41,] 0.225293484 0.22717065 0.23241043 0.239698442 0.2474327691 0.253886947
#> [42,] 0.278615455 0.27600908 0.27606298 0.277752742 0.2797384177 0.280521407
#> [43,] 0.336519651 0.32819686 0.32180737 0.316693892 0.3118491966 0.306061466
#> [44,] 0.399013196 0.38370885 0.36958954 0.356442990 0.3436666601 0.330395722
#> [45,] 0.466172458 0.44265342 0.41955148 0.397174744 0.3753957939 0.353755908
#> [46,] 0.538144304 0.50527512 0.47203463 0.439320971 0.4075476404 0.376717647
#> [47,] 0.615130965 0.57193612 0.52755792 0.483544998 0.4409100776 0.400167636
#> [48,] 0.697360815 0.64307948 0.58677377 0.530691205 0.4764917551 0.425243091
#> [49,] 0.785049491 0.71917927 0.65040825 0.581716512 0.5154467317 0.453251635
#> [50,] 0.878357023 0.80068436 0.71919283 0.637612075 0.5589886396 0.485580847
#> [51,] 0.977347022 0.88796288 0.79379560 0.699323668 0.6083032011 0.523606363
#> [52,] 1.081953422 0.98125374 0.87475917 0.767678363 0.6644668375 0.568606099
#> [53,] 1.191958964 1.08063039 0.96245090 0.843323439 0.7283772638 0.621686081
#> [54,] 1.306987805 1.18597978 1.05702905 0.926681380 0.8006997914 0.683721138
#> [55,] 1.426512695 1.29699784 1.15842644 1.017922678 0.8818309620 0.755311693
#> [56,] 1.549875299 1.41320041 1.26635126 1.116956338 0.9718794585 0.836756393
#> [57,] 1.676316774 1.53394742 1.38030303 1.223436655 1.0706631578 0.928039558
#> [58,] 1.805014769 1.65847691 1.49960114 1.336784087 1.1777207364 1.028832405
#> [59,] 1.935122568 1.78594498 1.62342264 1.456217805 1.2923362807 1.138507367
#> [60,] 2.065806234 1.91546795 1.75084596 1.580797550 1.4135756301 1.256165508
#> [61,] 2.196276017 2.04616301 1.88089762 1.709472557 1.5403334106 1.380677424
#> [62,] 2.325808980 2.17718415 2.01259890 1.841135315 1.6713896197 1.510737963
#> [63,] 2.453760503 2.30775057 2.14500948 1.974677588 1.8054740408 1.644934313
#> [64,] 2.579563001 2.43716503 2.27726508 2.109045498 1.9413356589 1.781825506
#> [65,] 2.702710816 2.56481964 2.40860556 2.243289590 2.0778127680 1.920029285
#> [66,] 2.822730792 2.69018705 2.53838984 2.376604875 2.2138978560 2.058309981
#> [67,] 2.939138725 2.81279529 2.66609384 2.508355198 2.3487900049 2.195658871
#> [68,] 3.051382788 2.93218498 2.79128806 2.638076191 2.4819268169 2.331357052
#> [69,] 3.158776296 3.04784929 2.91359242 2.765451791 2.6129881239 2.465010440
#> [70,] 3.260424009 3.15915871 3.03260797 2.890261057 2.7418651692 2.596547464
#> [71,] 3.355148390 3.26527514 3.14782784 3.012294835 2.8685916718 2.726172494
#> [72,] 3.441424872 3.36506339 3.25853320 3.131245629 2.9932371110 2.854271929
#> [73,] 3.517337638 3.45701087 3.36368425 3.246578523 3.1157674720 2.981275024
#> [74,] 3.580569265 3.53916979 3.46181985 3.357395868 3.2358841796 3.107477497
#> [75,] 3.628437982 3.60913788 3.55098320 3.462312890 3.3528574451 3.232842339
#> [76,] 3.657994404 3.66409338 3.62869212 3.559364721 3.4653750297 3.356798219
#> [77,] 3.666184820 3.70089767 3.69197236 3.645966676 3.5714305925 3.478060793
#> [78,] 3.650080190 3.71627247 3.73746769 3.718947813 3.6682763325 3.594504873
#> [79,] 3.607159244 3.70704892 3.76163346 3.774672394 3.7524616309 3.703114940
#> [80,] 3.535621872 3.67047390 3.76100851 3.809254300 3.8199721555 3.800036820
#> [81,] 3.434697411 3.60454526 3.73254677 3.818856422 3.8664723784 3.880743983
#> [82,] 3.304904259 3.50833627 3.67397596 3.800051895 3.8876395110 3.940318136
#> [83,] 3.148215554 3.38226208 3.58413895 3.750209480 3.8795604978 3.973826921
#> [84,] NA 3.22824172 3.46326799 3.667854560 3.8391489727 3.976764147
#> [85,] NA NA 3.31314509 3.552953748 3.7645296638 3.945503757
#> [86,] NA NA NA 3.407077461 3.6553370540 3.877711516
#> [87,] NA NA NA NA 3.5128851426 3.772661400
#> [88,] NA NA NA NA NA 3.631417690
#> [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
#> [,20] [,21] [,22] [,23] [,24] [,25]
#> [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 0.64792637 0.60862726
#> [10,] NA NA NA 0.56249811 0.52314992 0.48543684
#> [11,] NA 0.52465296 0.48675506 0.44881544 0.41196586 0.37716988
#> [12,] 0.45356380 0.41858206 0.38321335 0.34856965 0.31559725 0.28504638
#> [13,] 0.35623365 0.32424778 0.29280680 0.26283843 0.23506631 0.20998950
#> [14,] 0.27027526 0.24264420 0.21646784 0.19245041 0.17105348 0.15248741
#> [15,] 0.19656613 0.17454547 0.15482278 0.13783940 0.12375769 0.11246710
#> [16,] 0.13570515 0.12036411 0.10805305 0.09891487 0.09278225 0.08920091
#> [17,] 0.08788558 0.08003144 0.07578829 0.07497270 0.07706746 0.08126420
#> [18,] 0.05280449 0.05292316 0.05705222 0.06466462 0.07488587 0.08655776
#> [19,] 0.02962652 0.03784593 0.05027453 0.06603710 0.08390902 0.10240183
#> [20,] 0.01701091 0.03309107 0.05337267 0.07664162 0.10134522 0.12569932
#> [21,] 0.01320122 0.03655254 0.06389798 0.09370791 0.12413785 0.15315579
#> [22,] 0.01616785 0.04589625 0.07923082 0.11436262 0.14920403 0.18153364
#> [23,] 0.02378606 0.05876081 0.09680177 0.13586776 0.17368607 0.20791142
#> [24,] 0.03402663 0.07296435 0.11431150 0.15584952 0.19518455 0.22991575
#> [25,] 0.04513453 0.08669079 0.12992092 0.17248814 0.21194303 0.24589624
#> [26,] 0.05577243 0.09863147 0.14238715 0.18464409 0.22296055 0.25502062
#> [27,] 0.06511075 0.10806421 0.15112821 0.19190505 0.22801823 0.25727889
#> [28,] 0.07285374 0.11486080 0.15620924 0.19454914 0.22761816 0.25339799
#> [29,] 0.07920012 0.11942397 0.15825463 0.19343157 0.22284553 0.24468108
#> [30,] 0.08474592 0.12256480 0.15830004 0.18981269 0.21517479 0.23279529
#> [31,] 0.09034497 0.12533921 0.15760650 0.18515206 0.20624744 0.21953759
#> [32,] 0.09694748 0.12886700 0.15746242 0.18089707 0.19765127 0.20660948
#> [33,] 0.10543935 0.13415796 0.15899978 0.17829287 0.19072842 0.19542742
#> [34,] 0.11650330 0.14196725 0.16304686 0.17823610 0.18643359 0.18698908
#> [35,] 0.13051881 0.15269666 0.17003366 0.18118707 0.18525554 0.18180621
#> [36,] 0.14751170 0.16635149 0.17995783 0.18714631 0.18720540 0.17990533
#> [37,] 0.16715682 0.18255460 0.19241068 0.19569271 0.19186660 0.18088864
#> [38,] 0.18883026 0.20061201 0.20665536 0.20607306 0.19849408 0.18404093
#> [39,] 0.21170161 0.21961823 0.22174334 0.21732731 0.20614572 0.18846423
#> [40,] 0.23485218 0.23858567 0.23665212 0.22843138 0.21382689 0.19322075
#> [41,] 0.25740325 0.25658097 0.25042613 0.23843902 0.22062973 0.19746633
#> [42,] 0.27863814 0.27285159 0.26230419 0.24660659 0.22585174 0.20055978
#> [43,] 0.29810426 0.28692897 0.27182047 0.25248842 0.22908278 0.20213898
#> [44,] 0.31568475 0.29869854 0.27887002 0.25599553 0.23025470 0.20215972
#> [45,] 0.33163374 0.30843171 0.28373570 0.25741577 0.22965337 0.20089877
#> [46,] 0.34657421 0.31677995 0.28707771 0.25739818 0.22789759 0.19892705
#> [47,] 0.36146178 0.32473534 0.28989119 0.25690826 0.22589240 0.19706172
#> [48,] 0.37752087 0.33356491 0.29344029 0.25716295 0.22476660 0.19630728
#> [49,] 0.39616220 0.34472812 0.29917795 0.25955527 0.22580398 0.19779534
#> [50,] 0.41889085 0.35978673 0.30866079 0.26557698 0.23037660 0.20273050
#> [51,] 0.44721370 0.38031537 0.32346648 0.27674628 0.23988572 0.21234701
#> [52,] 0.48255325 0.40781899 0.34511887 0.29454422 0.25571272 0.22787683
#> [53,] 0.52617256 0.44366104 0.37502324 0.32036079 0.27917925 0.25052651
#> [54,] 0.57911388 0.48900357 0.41441172 0.35544908 0.31151327 0.28145782
#> [55,] 0.64215132 0.54475902 0.46429714 0.40088429 0.35381621 0.32176547
#> [56,] 0.71575705 0.61155202 0.52543300 0.45752437 0.40702651 0.37244590
#> [57,] 0.80007980 0.68969012 0.59827780 0.52596961 0.47187642 0.43435307
#> [58,] 0.89493510 0.77914293 0.68296341 0.60652099 0.54884136 0.50814019
#> [59,] 0.99980742 0.87953066 0.77926926 0.69913964 0.63808479 0.59419061
#> [60,] 1.11386556 0.99012490 0.88660623 0.80341243 0.73940471 0.69254503
#> [61,] 1.23599329 1.10986515 1.00401587 0.91853113 0.85219073 0.80283538
#> [62,] 1.36483738 1.23739538 1.13019104 1.04329329 0.97540214 0.92423781
#> [63,] 1.49887414 1.37112368 1.26352345 1.17613271 1.10757711 1.05545738
#> [64,] 1.63649395 1.50930624 1.40218118 1.31518506 1.24688114 1.19475478
#> [65,] 1.77610046 1.65015355 1.54421617 1.45839036 1.39119876 1.34002199
#> [66,] 1.91621818 1.79195323 1.68769675 1.60362943 1.53826760 1.48890785
#> [67,] 2.05559912 1.93319982 1.83085632 1.74888592 1.68584775 1.63898856
#> [68,] 2.19331696 2.07271892 1.97224454 1.89242050 1.83191376 1.78797137
#> [69,] 2.32883582 2.20977070 2.11086482 2.03293984 1.97485130 1.93391395
#> [70,] 2.46204135 2.34411751 2.24628010 2.16974054 2.11363724 2.07543724
#> [71,] 2.59322338 2.47604165 2.37866983 2.30280772 2.24798060 2.21190732
#> [72,] 2.72300378 2.60630270 2.50882361 2.43285008 2.37840236 2.34356153
#> [73,] 2.85220749 2.73602882 2.63806159 2.56125730 2.50623597 2.47155625
#> [74,] 2.98168195 2.86654299 2.76807849 2.68997180 2.63353575 2.59791924
#> [75,] 3.11207634 2.99913264 2.90071563 2.82127497 2.76288845 2.72539618
#> [76,] 3.24359977 3.13477905 3.03767412 2.95749706 2.89713229 2.85719106
#> [77,] 3.37578344 3.27387079 3.18019129 3.10066957 3.03899895 2.99661078
#> [78,] 3.50727682 3.41593150 3.32871049 3.25214897 3.19070421 3.14663674
#> [79,] 3.63570966 3.55939720 3.48258077 3.41224862 3.35352394 3.30945780
#> [80,] 3.75764965 3.70147844 3.63982628 3.57992179 3.52739981 3.48600990
#> [81,] 3.86867887 3.83813885 3.79702409 3.75254015 3.71062371 3.67557447
#> [82,] 3.96360015 3.96421207 3.94932204 3.92580816 3.89964855 3.87548945
#> [83,] 4.03676819 4.07366394 4.09061521 4.09384264 4.08906501 4.08102153
#> [84,] 4.08252147 4.15998787 4.21388130 4.24943000 4.27176784 4.28543406
#> [85,] 4.09567329 4.21670108 4.31165333 4.38445116 4.43931401 4.48026445
#> [86,] 4.07200726 4.23789215 4.37658762 4.49044121 4.58244951 4.65579860
#> [87,] 4.00871895 4.21876011 4.40206971 4.55923142 4.69175911 4.80170426
#> [88,] 3.90475275 4.15608644 4.38279533 4.58360988 4.75837735 4.90776491
#> [89,] 3.76100090 4.04859362 4.31527050 4.55793861 4.77469472 4.96464709
#> [90,] NA 3.89716497 4.19819178 4.47867749 4.73500200 4.96463860
#> [91,] NA NA NA 4.34478587 4.63603363 4.90231082
#> [92,] NA NA NA NA 4.47739042 4.77507862
#> [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
#> [,26] [,27] [,28] [,29] [,30] [,31]
#> [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 0.93270542 0.91505327 0.9039347116
#> [7,] NA 0.82300428 0.79307815 0.76815679 0.74892717 0.7358925108
#> [8,] 0.70777787 0.67338673 0.64311274 0.61770217 0.59772119 0.5835685386
#> [9,] 0.57167027 0.53801889 0.50845197 0.48356838 0.46379913 0.4494239472
#> [10,] 0.45033050 0.41861746 0.39089995 0.36760741 0.34901550 0.3352687046
#> [11,] 0.34520188 0.31664270 0.29188964 0.27117762 0.25460752 0.2421771919
#> [12,] 0.25745983 0.23317963 0.21236911 0.19504662 0.18112544 0.1704546856
#> [13,] 0.18788299 0.16881839 0.15270106 0.13931875 0.12839491 0.1196397558
#> [14,] 0.13672676 0.12354775 0.11258323 0.10338794 0.09550581 0.0885305547
#> [15,] 0.10361721 0.09667470 0.09099785 0.08591928 0.08082663 0.0752308961
#> [16,] 0.08748270 0.08678396 0.08620040 0.08486691 0.08204981 0.0772201102
#> [17,] 0.08653845 0.09175018 0.09575870 0.09753780 0.09627681 0.0914551932
#> [18,] 0.09833615 0.10881332 0.11665132 0.12070949 0.12015068 0.1145128998
#> [19,] 0.11988340 0.13472060 0.14542795 0.15080387 0.15003753 0.1427733943
#> [20,] 0.14782924 0.16592974 0.17842513 0.18410947 0.18224944 0.1726377764
#> [21,] 0.17870107 0.19885760 0.21202039 0.21703481 0.21329089 0.2007620646
#> [22,] 0.20916915 0.23014868 0.24289861 0.24636652 0.24010295 0.2242829066
#> [23,] 0.23630778 0.25693246 0.26829944 0.26950149 0.26027595 0.2410075103
#> [24,] 0.25782081 0.27703687 0.28621425 0.28462352 0.27220313 0.2495429434
#> [25,] 0.27220205 0.28913055 0.29550709 0.29080124 0.27515492 0.2493475710
#> [26,] 0.27881016 0.29277541 0.29594423 0.28799493 0.26926473 0.2406983985
#> [27,] 0.27784944 0.28838425 0.28812996 0.27697312 0.25542981 0.2245802106
#> [28,] 0.27026130 0.27709137 0.27335972 0.25915240 0.23514247 0.2025132944
#> [29,] 0.25754371 0.26055615 0.25341255 0.23638407 0.21027630 0.1763442835
#> [30,] 0.24152486 0.24072772 0.23031224 0.21071721 0.18285637 0.1480281109
#> [31,] 0.22412220 0.21960243 0.20608861 0.18416877 0.15484250 0.1194279919
#> [32,] 0.20711746 0.19900421 0.18256776 0.15852766 0.12795029 0.0921553787
#> [33,] 0.19197382 0.18041234 0.16121367 0.13521265 0.10352683 0.0674641558
#> [34,] 0.17971318 0.16485219 0.14303421 0.11519451 0.08248901 0.0462044784
#> [35,] 0.17086201 0.15285502 0.12855494 0.09898332 0.06532327 0.0288330724
#> [36,] 0.16546448 0.14448285 0.11785473 0.08667318 0.05213723 0.0154697263
#> [37,] 0.16315296 0.13940698 0.11065006 0.07802997 0.04274863 0.0059849083
#> [38,] 0.16326036 0.13702304 0.10641035 0.07260437 0.03679358 0.0001012937
#> [39,] 0.16495500 0.13658338 0.10448499 0.06985125 0.03383638 0.0000000000
#> [40,] 0.16737893 0.13732776 0.10422410 0.06923852 0.03346514 0.0000000000
#> [41,] 0.16977236 0.13859641 0.10507828 0.07033229 0.03536173 0.0010103830
#> [42,] 0.17157136 0.13991404 0.10666769 0.07285048 0.03933988 0.0068343764
#> [43,] 0.17247110 0.14103903 0.10881648 0.07668241 0.04535062 0.0153430517
#> [44,] 0.17245271 0.14197755 0.11155409 0.08187775 0.05345977 0.0266133235
#> [45,] 0.17177678 0.14296744 0.11508978 0.08861236 0.06380604 0.0407440241
#> [46,] 0.17095099 0.14444054 0.11977021 0.09714182 0.07655135 0.0578040268
#> [47,] 0.17068149 0.14697405 0.12603133 0.10775437 0.09183557 0.0777892117
#> [48,] 0.17181869 0.15124175 0.13435568 0.12073474 0.10974676 0.1005993093
#> [49,] 0.17530684 0.15797439 0.14524401 0.13634703 0.13031528 0.1260424202
#> [50,] 0.18214423 0.16793518 0.15920654 0.15484160 0.15353541 0.1538703633
#> [51,] 0.19335728 0.18191246 0.17677454 0.17648521 0.17941317 0.1838425530
#> [52,] 0.20998769 0.20072706 0.19852836 0.20160930 0.20803368 0.2158106533
#> [53,] 0.23308814 0.22524810 0.22513371 0.23066653 0.23963690 0.2498116624
#> [54,] 0.26371948 0.25640815 0.25737558 0.26428321 0.27468765 0.2861541377
#> [55,] 0.30294110 0.29520780 0.29617770 0.30329404 0.31392531 0.3254815585
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#> [2,] NA NA NA 2.140161026 2.2291544570 2.32332203
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#> [60,] 0.40937502 0.43075446 0.44836605 0.4619478 0.4710049 0.4749929 0.4736293
#> [61,] 0.38843577 0.41017276 0.42845586 0.4426923 0.4520152 0.4555293 0.4526858
#> [62,] 0.36672895 0.38878973 0.40760226 0.4222515 0.4315357 0.4342713 0.4297223
#> [63,] 0.34393649 0.36620052 0.38531609 0.4000648 0.4089577 0.4105955 0.4041407
#> [64,] 0.31992436 0.34217374 0.36127793 0.3757454 0.3838590 0.3840834 0.3755673
#> [65,] 0.29473801 0.31665389 0.33534745 0.3490964 0.3560237 0.3545425 NA
#> [66,] 0.26858241 0.28974922 0.30755903 0.3201127 0.3254487 0.3220142 NA
#> [67,] 0.24178974 0.26170777 0.27810531 0.2889701 0.2923358 0.2867661 NA
#> [68,] 0.21477870 0.23288455 0.24731128 0.2560044 0.2570730 NA NA
#> [69,] 0.18800953 0.20370378 0.21560204 0.2216823 0.2202049 NA NA
#> [70,] 0.16193894 0.17461950 0.18346715 0.1865665 NA NA NA
#> [71,] 0.13697874 0.14607825 0.15142504 0.1512794 NA NA NA
#> [72,] 0.11346140 0.11848679 0.11999033 0.1164679 NA NA NA
#> [73,] 0.09161557 0.09218762 0.08964702 NA NA NA NA
#> [74,] 0.07155370 0.06744471 0.06083016 NA NA NA NA
#> [75,] 0.05327346 0.04444122 NA NA NA NA NA
#> [76,] 0.03667406 NA NA NA NA NA NA
#> [77,] 0.02158757 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
#> [,99] [,100]
#> [1,] NA NA
#> [2,] NA NA
#> [3,] NA NA
#> [4,] NA NA
#> [5,] NA NA
#> [6,] NA NA
#> [7,] NA NA
#> [8,] NA NA
#> [9,] NA NA
#> [10,] NA NA
#> [11,] NA NA
#> [12,] NA NA
#> [13,] NA NA
#> [14,] NA NA
#> [15,] NA NA
#> [16,] NA NA
#> [17,] NA NA
#> [18,] NA NA
#> [19,] NA NA
#> [20,] NA NA
#> [21,] NA NA
#> [22,] NA NA
#> [23,] NA NA
#> [24,] NA NA
#> [25,] NA NA
#> [26,] NA NA
#> [27,] NA NA
#> [28,] NA NA
#> [29,] NA NA
#> [30,] NA NA
#> [31,] NA NA
#> [32,] NA NA
#> [33,] NA NA
#> [34,] NA NA
#> [35,] NA NA
#> [36,] NA NA
#> [37,] NA NA
#> [38,] NA NA
#> [39,] NA NA
#> [40,] NA NA
#> [41,] 1.5596392 NA
#> [42,] 1.4496459 NA
#> [43,] 1.3453083 NA
#> [44,] 1.2468370 NA
#> [45,] 1.1544388 NA
#> [46,] 1.0683189 NA
#> [47,] 0.9886712 NA
#> [48,] 0.9156585 NA
#> [49,] 0.8493852 NA
#> [50,] 0.7898657 NA
#> [51,] 0.7369940 NA
#> [52,] 0.6905166 NA
#> [53,] 0.6500145 NA
#> [54,] 0.6148971 NA
#> [55,] 0.5844092 NA
#> [56,] 0.5576525 NA
#> [57,] 0.5336213 NA
#> [58,] 0.5112488 NA
#> [59,] 0.4894624 NA
#> [60,] 0.4672423 NA
#> [61,] NA NA
#> [62,] NA NA
#> [63,] NA NA
#> [64,] NA NA
#> [65,] NA NA
#> [66,] NA NA
#> [67,] NA NA
#> [68,] NA NA
#> [69,] NA NA
#> [70,] NA NA
#> [71,] NA NA
#> [72,] NA NA
#> [73,] NA NA
#> [74,] NA NA
#> [75,] NA NA
#> [76,] NA NA
#> [77,] NA NA
#> [78,] NA NA
#> [79,] NA NA
#> [80,] NA NA
#> [81,] NA NA
#> [82,] NA NA
#> [83,] NA NA
#> [84,] NA NA
#> [85,] NA NA
#> [86,] NA NA
#> [87,] NA NA
#> [88,] NA NA
#> [89,] NA NA
#> [90,] NA NA
#> [91,] NA NA
#> [92,] NA NA
#> [93,] NA NA
#> [94,] NA NA
#> [95,] NA NA
#> [96,] NA NA
#> [97,] NA NA
#> [98,] NA NA
#> [99,] NA NA
#> [100,] NA NA
#>
#> attr(,"class")
#> [1] "list" "sph_density"
