tfourier_shape calculates a 'Fourier tangent angle shape' given
Fourier coefficients (see Details) or can generate some 'tfourier'
shapes.
Arguments
- an
numeric. The \(a_n\) Fourier coefficients on which to calculate a shape.- bn
numeric. The \(b_n\) Fourier coefficients on which to calculate a shape.- ao
aoHarmonic coefficient.- nb.h
integer. The number of harmonics to use.- nb.pts
integer. The number of points to calculate.- alpha
numeric. The power coefficient associated with the (usually decreasing) amplitude of the Fourier coefficients (see Details).- plot
logical. Whether to plot or not the shape.
See also
Other tfourier:
tfourier_i(),
tfourier()
Examples
tf <- tfourier(bot[1], 24)
tfourier_shape(tf$an, tf$bn) # equivalent to rfourier_i(rf)
#> x y
#> [1,] -0.068536123 0.03816985
#> [2,] 0.010421770 0.02861438
#> [3,] -0.063790622 0.05721817
#> [4,] -0.140579972 0.07793172
#> [5,] -0.183238239 0.14505793
#> [6,] -0.247181702 0.19235370
#> [7,] -0.320133871 0.22403393
#> [8,] -0.368197883 0.28740195
#> [9,] -0.418456077 0.34904422
#> [10,] -0.483991433 0.39410832
#> [11,] -0.527015593 0.46100060
#> [12,] -0.558482563 0.53404501
#> [13,] -0.615378810 0.58961904
#> [14,] -0.666002527 0.65096148
#> [15,] -0.703250243 0.72123426
#> [16,] -0.768466384 0.76675910
#> [17,] -0.843721723 0.79249409
#> [18,] -0.920086430 0.81472216
#> [19,] -0.990492372 0.77772677
#> [20,] -1.035089701 0.71187289
#> [21,] -1.107991534 0.68007700
#> [22,] -1.173409209 0.63484224
#> [23,] -1.172271234 0.55531639
#> [24,] -1.245117865 0.52339423
#> [25,] -1.169306190 0.54744097
#> [26,] -1.166890972 0.46794366
#> [27,] -1.134401707 0.39534818
#> [28,] -1.068636587 0.35062006
#> [29,] -1.007856315 0.29932275
#> [30,] -0.955597746 0.23936695
#> [31,] -0.898595892 0.18390125
#> [32,] -0.832707879 0.13935435
#> [33,] -0.769939719 0.09050956
#> [34,] -0.718591641 0.02977217
#> [35,] -0.653105984 -0.01536412
#> [36,] -0.579711689 -0.04600613
#> [37,] -0.541356302 -0.11568052
#> [38,] -0.489158357 -0.17568911
#> [39,] -0.526675851 -0.10555999
#> [40,] -0.483094002 -0.17209027
#> [41,] -0.411233403 -0.20617413
#> [42,] -0.384991638 -0.28125426
#> [43,] -0.346581120 -0.35089827
#> [44,] -0.281483742 -0.39659277
#> [45,] -0.223918101 -0.45147312
#> [46,] -0.163346561 -0.50301673
#> [47,] -0.086698985 -0.52424890
#> [48,] -0.009264515 -0.54240265
#> [49,] 0.061119622 -0.57943951
#> [50,] 0.129392040 -0.62023819
#> [51,] 0.196505793 -0.66291605
#> [52,] 0.256624481 -0.71498715
#> [53,] 0.315395180 -0.76857503
#> [54,] 0.379092808 -0.81620137
#> [55,] 0.442596932 -0.86408541
#> [56,] 0.501564226 -0.91745689
#> [57,] 0.558878373 -0.97259983
#> [58,] 0.616862632 -1.02703770
#> [59,] 0.683127662 -1.07102180
#> [60,] 0.761505112 -1.05750770
#> [61,] 0.789105491 -0.98291631
#> [62,] 0.836639557 -0.91914980
#> [63,] 0.850183366 -0.99752212
#> [64,] 0.787935223 -0.94801632
#> [65,] 0.760460379 -0.87337860
#> [66,] 0.699791505 -0.82194959
#> [67,] 0.638226839 -0.77159636
#> [68,] 0.596708767 -0.70375901
#> [69,] 0.552733618 -0.63748804
#> [70,] 0.492705339 -0.58531274
#> [71,] 0.437325328 -0.52822763
#> [72,] 0.414799359 -0.45195026
#> [73,] 0.364582422 -0.39027438
#> [74,] 0.378601540 -0.46856307
#> [75,] 0.344461362 -0.39672921
#> [76,] 0.268368346 -0.37358815
#> [77,] 0.341471182 -0.34225716
#> [78,] 0.264568188 -0.36254472
#> [79,] 0.260420375 -0.28311896
#> [80,] 0.189614910 -0.24689408
tfourier_shape()
#> x y
#> [1,] 0.001516715 0.05327275
#> [2,] 0.015779539 0.13151742
#> [3,] 0.030251198 0.20972373
#> [4,] 0.045538391 0.28777472
#> [5,] 0.062199796 0.36554395
#> [6,] 0.080739961 0.44288681
#> [7,] 0.101603447 0.51963556
#> [8,] 0.125169341 0.59559808
#> [9,] 0.151746433 0.67056016
#> [10,] 0.181569435 0.74429105
#> [11,] 0.214796683 0.81655173
#> [12,] 0.251509688 0.88710534
#> [13,] 0.291714820 0.95572897
#> [14,] 0.335347235 1.02222610
#> [15,] 0.382276925 1.08643872
#> [16,] 0.432316607 1.14825850
#> [17,] 0.485230944 1.20763635
#> [18,] 0.540746428 1.26458972
#> [19,] 0.598561178 1.31920758
#> [20,] 0.658353875 1.37165269
#> [21,] 0.719791053 1.42216139
#> [22,] 0.782532121 1.47104098
#> [23,] 0.846231576 1.51866487
#> [24,] 0.910538094 1.56546580
#> [25,] 0.975090367 1.61192718
#> [26,] 1.039509789 1.65857259
#> [27,] 1.103390319 1.70595332
#> [28,] 1.166286114 1.75463365
#> [29,] 1.227697771 1.80517338
#> [30,] 1.287058321 1.85810712
#> [31,] 1.343720418 1.91391987
#> [32,] 1.396946475 1.97301845
#> [33,] 1.445903783 2.03569889
#> [34,] 1.489666884 2.10211009
#> [35,] 1.527229520 2.17221504
#> [36,] 1.557528380 2.24575166
#> [37,] 1.579480384 2.32219618
#> [38,] 1.592034458 2.40073312
#> [39,] 1.594237457 2.48023660
#> [40,] 1.585312261 2.55926822
#> [41,] 1.564744045 2.63609662
#> [42,] 1.532368623 2.70874295
#> [43,] 1.488454817 2.77505458
#> [44,] 1.433771343 2.83280728
#> [45,] 1.369628237 2.87983193
#> [46,] 1.297883552 2.91415912
#> [47,] 1.220908256 2.93417060
#> [48,] 1.141505884 2.93874434
#> [49,] 1.062788251 2.92737817
#> [50,] 0.988013858 2.90027751
#> [51,] 0.920400814 2.85839515
#> [52,] 0.862930169 2.80341533
#> [53,] 0.818157940 2.73768023
#> [54,] 0.788054092 2.66406356
#> [55,] 0.773884313 2.58580199
#> [56,] 0.776145825 2.50630016
#> [57,] 0.794562342 2.42892776
#> [58,] 0.828136648 2.35682768
#> [59,] 0.875253046 2.29275194
#> [60,] 0.933817055 2.23893825
#> [61,] 1.001416873 2.19703455
#> [62,] 1.075490376 2.16807299
#> [63,] 1.153482821 2.15248985
#> [64,] 1.232983360 2.15018335
#> [65,] 1.311832391 2.16059902
#> [66,] 1.388195950 2.18283104
#> [67,] 1.460607221 2.21572881
#> [68,] 1.527978325 2.25799925
#> [69,] 1.589587611 2.30829788
#> [70,] 1.645048769 2.36530416
#> [71,] 1.694268193 2.42777898
#> [72,] 1.737396454 2.49460419
#> [73,] 1.774778736 2.56480548
#> [74,] 1.806907834 2.63756108
#> [75,] 1.834382083 2.71219901
#> [76,] 1.857869426 2.78818586
#> [77,] 1.878077959 2.86510966
#> [78,] 1.895732549 2.94265946
#> [79,] 1.911556753 3.02060335
#> [80,] 1.926258977 3.09876664
tfourier_shape(nb.h=6, alpha=0.4, nb.pts=500)
#> x y
#> [1,] -0.002108631 -0.01142224
#> [2,] -0.002501370 -0.02400767
#> [3,] -0.001880612 -0.03658391
#> [4,] -0.000235429 -0.04906752
#> [5,] 0.002435011 -0.06137264
#> [6,] 0.006121025 -0.07341260
#> [7,] 0.010802278 -0.08510161
#> [8,] 0.016447951 -0.09635655
#> [9,] 0.023017214 -0.10709862
#> [10,] 0.030460003 -0.11725500
#> [11,] 0.038718070 -0.12676034
#> [12,] 0.047726285 -0.13555803
#> [13,] 0.057414131 -0.14360122
#> [14,] 0.067707341 -0.15085360
#> [15,] 0.078529617 -0.15728987
#> [16,] 0.089804362 -0.16289588
#> [17,] 0.101456362 -0.16766852
#> [18,] 0.113413364 -0.17161534
#> [19,] 0.125607495 -0.17475387
#> [20,] 0.137976476 -0.17711088
#> [21,] 0.150464609 -0.17872140
#> [22,] 0.163023508 -0.17962766
#> [23,] 0.175612571 -0.17987805
#> [24,] 0.188199205 -0.17952609
#> [25,] 0.200758787 -0.17862936
#> [26,] 0.213274414 -0.17724866
#> [27,] 0.225736438 -0.17544723
#> [28,] 0.238141825 -0.17329001
#> [29,] 0.250493362 -0.17084322
#> [30,] 0.262798730 -0.16817392
#> [31,] 0.275069481 -0.16534976
#> [32,] 0.287319934 -0.16243881
#> [33,] 0.299566006 -0.15950949
#> [34,] 0.311824005 -0.15663048
#> [35,] 0.324109401 -0.15387072
#> [36,] 0.336435595 -0.15129931
#> [37,] 0.348812707 -0.14898537
#> [38,] 0.361246402 -0.14699779
#> [39,] 0.373736791 -0.14540487
#> [40,] 0.386277437 -0.14427376
#> [41,] 0.398854497 -0.14366977
#> [42,] 0.411446043 -0.14365552
#> [43,] 0.424021608 -0.14428985
#> [44,] 0.436541994 -0.14562670
#> [45,] 0.448959372 -0.14771379
#> [46,] 0.461217720 -0.15059131
#> [47,] 0.473253593 -0.15429063
#> [48,] 0.484997259 -0.15883305
#> [49,] 0.496374148 -0.16422875
#> [50,] 0.507306617 -0.17047602
#> [51,] 0.517715948 -0.17756073
#> [52,] 0.527524516 -0.18545625
#> [53,] 0.536658044 -0.19412376
#> [54,] 0.545047831 -0.20351305
#> [55,] 0.552632860 -0.21356365
#> [56,] 0.559361680 -0.22420650
#> [57,] 0.565193974 -0.23536587
#> [58,] 0.570101738 -0.24696161
#> [59,] 0.574070028 -0.25891150
#> [60,] 0.577097246 -0.27113374
#> [61,] 0.579194980 -0.28354932
#> [62,] 0.580387426 -0.29608429
#> [63,] 0.580710458 -0.30867169
#> [64,] 0.580210428 -0.32125332
#> [65,] 0.578942782 -0.33378090
#> [66,] 0.576970590 -0.34621704
#> [67,] 0.574363104 -0.35853566
#> [68,] 0.571194404 -0.37072198
#> [69,] 0.567542236 -0.38277225
#> [70,] 0.563487083 -0.39469294
#> [71,] 0.559111504 -0.40649978
#> [72,] 0.554499769 -0.41821640
#> [73,] 0.549737758 -0.42987275
#> [74,] 0.544913126 -0.44150332
#> [75,] 0.540115641 -0.45314511
#> [76,] 0.535437656 -0.46483544
#> [77,] 0.530974607 -0.47660950
#> [78,] 0.526825428 -0.48849779
#> [79,] 0.523092770 -0.50052337
#> [80,] 0.519882881 -0.51269891
#> [81,] 0.517305016 -0.52502376
#> [82,] 0.515470246 -0.53748092
#> [83,] 0.514489542 -0.55003422
#> [84,] 0.514471047 -0.56262576
#> [85,] 0.515516483 -0.57517384
#> [86,] 0.517716714 -0.58757167
#> [87,] 0.521146550 -0.59968709
#> [88,] 0.525858973 -0.61136358
#> [89,] 0.531879072 -0.62242276
#> [90,] 0.539198072 -0.63266871
#> [91,] 0.547767920 -0.64189395
#> [92,] 0.557496962 -0.64988725
#> [93,] 0.568247269 -0.65644302
#> [94,] 0.579834122 -0.66137172
#> [95,] 0.592028072 -0.66451096
#> [96,] 0.604559851 -0.66573642
#> [97,] 0.617128167 -0.66497179
#> [98,] 0.629410174 -0.66219699
#> [99,] 0.641074135 -0.65745365
#> [100,] 0.651793556 -0.65084750
#> [101,] 0.661261840 -0.64254697
#> [102,] 0.669206437 -0.63277811
#> [103,] 0.675401403 -0.62181592
#> [104,] 0.679677420 -0.60997266
#> [105,] 0.681928498 -0.59758396
#> [106,] 0.682114907 -0.58499378
#> [107,] 0.680262169 -0.57253928
#> [108,] 0.676456337 -0.56053666
#> [109,] 0.670836064 -0.54926902
#> [110,] 0.663582217 -0.53897684
#> [111,] 0.654905955 -0.52985162
#> [112,] 0.645036211 -0.52203271
#> [113,] 0.634207485 -0.51560730
#> [114,] 0.622648728 -0.51061306
#> [115,] 0.610573885 -0.50704299
#> [116,] 0.598174478 -0.50485167
#> [117,] 0.585614369 -0.50396235
#> [118,] 0.573026679 -0.50427430
#> [119,] 0.560512676 -0.50566962
#> [120,] 0.548142331 -0.50801947
#> [121,] 0.535956240 -0.51118908
#> [122,] 0.523968541 -0.51504165
#> [123,] 0.512170530 -0.51944099
#> [124,] 0.500534721 -0.52425297
#> [125,] 0.489019154 -0.52934600
#> [126,] 0.477571821 -0.53459059
#> [127,] 0.466135158 -0.53985842
#> [128,] 0.454650578 -0.54502094
#> [129,] 0.443063052 -0.54994806
#> [130,] 0.431325750 -0.55450689
#> [131,] 0.419404746 -0.55856113
#> [132,] 0.407283721 -0.56197112
#> [133,] 0.394968576 -0.56459493
#> [134,] 0.382491745 -0.56629079
#> [135,] 0.369915957 -0.56692069
#> [136,] 0.357337087 -0.56635567
#> [137,] 0.344885689 -0.56448219
#> [138,] 0.332726775 -0.56120988
#> [139,] 0.321057428 -0.55647981
#> [140,] 0.310101919 -0.55027303
#> [141,] 0.300104155 -0.54261850
#> [142,] 0.291317498 -0.53359952
#> [143,] 0.283992284 -0.52335801
#> [144,] 0.278361630 -0.51209556
#> [145,] 0.274626457 -0.50007076
#> [146,] 0.272940836 -0.48759254
#> [147,] 0.273398923 -0.47500933
#> [148,] 0.276024756 -0.46269461
#> [149,] 0.280766008 -0.45102980
#> [150,] 0.287492512 -0.44038549
#> [151,] 0.295999944 -0.43110266
#> [152,] 0.306018542 -0.42347542
#> [153,] 0.317226259 -0.41773657
#> [154,] 0.329265267 -0.41404747
#> [155,] 0.341760448 -0.41249258
#> [156,] 0.354338320 -0.41307940
#> [157,] 0.366644877 -0.41574321
#> [158,] 0.378361032 -0.42035612
#> [159,] 0.389214654 -0.42673939
#> [160,] 0.398988640 -0.43467768
#> [161,] 0.407524855 -0.44393404
#> [162,] 0.414724200 -0.45426441
#> [163,] 0.420543388 -0.46543063
#> [164,] 0.424989183 -0.47721121
#> [165,] 0.428111009 -0.48940963
#> [166,] 0.429992784 -0.50185977
#> [167,] 0.430744760 -0.51442885
#> [168,] 0.430495992 -0.52701795
#> [169,] 0.429387899 -0.53956065
#> [170,] 0.427569155 -0.55202016
#> [171,] 0.425192036 -0.56438529
#> [172,] 0.422410135 -0.57666570
#> [173,] 0.419377309 -0.58888655
#> [174,] 0.416247586 -0.60108294
#> [175,] 0.413175701 -0.61329403
#> [176,] 0.410317926 -0.62555700
#> [177,] 0.407832766 -0.63790087
#> [178,] 0.405881126 -0.65034026
#> [179,] 0.404625544 -0.66286906
#> [180,] 0.404228078 -0.67545433
#> [181,] 0.404846527 -0.68803069
#> [182,] 0.406628741 -0.70049548
#> [183,] 0.409704904 -0.71270549
#> [184,] 0.414177929 -0.72447576
#> [185,] 0.420112297 -0.73558119
#> [186,] 0.427522044 -0.74576170
#> [187,] 0.436358881 -0.75473152
#> [188,] 0.446501744 -0.76219272
#> [189,] 0.457749287 -0.76785311
#> [190,] 0.469816892 -0.77144757
#> [191,] 0.482339680 -0.77276172
#> [192,] 0.494882596 -0.77165606
#> [193,] 0.506958073 -0.76808813
#> [194,] 0.518050962 -0.76213036
#> [195,] 0.527649444 -0.75398074
#> [196,] 0.535279762 -0.74396448
#> [197,] 0.540541754 -0.73252513
#> [198,] 0.543141751 -0.72020493
#> [199,] 0.542919276 -0.70761535
#> [200,] 0.539864452 -0.69539998
#> [201,] 0.534123851 -0.68419316
#> [202,] 0.525993794 -0.67457810
#> [203,] 0.515901498 -0.66704864
#> [204,] 0.504375878 -0.66197840
#> [205,] 0.492010966 -0.65960013
#> [206,] 0.479425663 -0.65999683
#> [207,] 0.467223760 -0.66310501
#> [208,] 0.455957927 -0.66872891
#> [209,] 0.446100612 -0.67656348
#> [210,] 0.438023807 -0.68622332
#> [211,] 0.431988473 -0.69727420
#> [212,] 0.428143312 -0.70926428
#> [213,] 0.426531705 -0.72175227
#> [214,] 0.427104949 -0.73433077
#> [215,] 0.429739668 -0.74664358
#> [216,] 0.434257236 -0.75839683
#> [217,] 0.440443280 -0.76936406
#> [218,] 0.448065724 -0.77938631
#> [219,] 0.456890287 -0.78836820
#> [220,] 0.466692836 -0.79627119
#> [221,] 0.477268369 -0.80310532
#> [222,] 0.488436766 -0.80892031
#> [223,] 0.500045641 -0.81379692
#> [224,] 0.511970771 -0.81783901
#> [225,] 0.524114613 -0.82116682
#> [226,] 0.536403406 -0.82391141
#> [227,] 0.548783310 -0.82621037
#> [228,] 0.561215938 -0.82820461
#> [229,] 0.573673589 -0.83003604
#> [230,] 0.586134395 -0.83184588
#> [231,] 0.598577552 -0.83377333
#> [232,] 0.610978787 -0.83595430
#> [233,] 0.623306164 -0.83852003
#> [234,] 0.635516378 -0.84159540
#> [235,] 0.647551648 -0.84529669
#> [236,] 0.659337383 -0.84972881
#> [237,] 0.670780778 -0.85498199
#> [238,] 0.681770502 -0.86112798
#> [239,] 0.692177644 -0.86821590
#> [240,] 0.701858022 -0.87626808
#> [241,] 0.710655912 -0.88527609
#> [242,] 0.718409155 -0.89519750
#> [243,] 0.724955505 -0.90595355
#> [244,] 0.730139942 -0.91742826
#> [245,] 0.733822593 -0.92946924
#> [246,] 0.735886755 -0.94189045
#> [247,] 0.736246485 -0.95447686
#> [248,] 0.734853191 -0.96699109
#> [249,] 0.731700665 -0.97918162
#> [250,] 0.726828117 -0.99079219
#> [251,] 0.720320890 -1.00157195
#> [252,] 0.712308702 -1.01128545
#> [253,] 0.702961483 -1.01972208
#> [254,] 0.692483056 -1.02670419
#> [255,] 0.681103074 -1.03209336
#> [256,] 0.669067787 -1.03579459
#> [257,] 0.656630248 -1.03775797
#> [258,] 0.644040618 -1.03797807
#> [259,] 0.631537164 -1.03649117
#> [260,] 0.619338444 -1.03337052
#> [261,] 0.607637044 -1.02872031
#> [262,] 0.596595093 -1.02266865
#> [263,] 0.586341602 -1.01536022
#> [264,] 0.576971545 -1.00694897
#> [265,] 0.568546501 -0.99759130
#> [266,] 0.561096561 -0.98744016
#> [267,] 0.554623200 -0.97664003
#> [268,] 0.549102776 -0.96532314
#> [269,] 0.544490327 -0.95360680
#> [270,] 0.540723423 -0.94159191
#> [271,] 0.537725823 -0.92936237
#> [272,] 0.535410781 -0.91698546
#> [273,] 0.533683915 -0.90451289
#> [274,] 0.532445562 -0.89198237
#> [275,] 0.531592646 -0.87941974
#> [276,] 0.531020085 -0.86684121
#> [277,] 0.530621809 -0.85425596
#> [278,] 0.530291482 -0.84166874
#> [279,] 0.529923029 -0.82908258
#> [280,] 0.529411080 -0.81650143
#> [281,] 0.528651442 -0.80393282
#> [282,] 0.527541696 -0.79139026
#> [283,] 0.525982022 -0.77889568
#> [284,] 0.523876323 -0.76648144
#> [285,] 0.521133697 -0.75419221
#> [286,] 0.517670309 -0.74208633
#> [287,] 0.513411637 -0.73023682
#> [288,] 0.508295074 -0.71873169
#> [289,] 0.502272813 -0.70767368
#> [290,] 0.495314891 -0.69717918
#> [291,] 0.487412261 -0.68737634
#> [292,] 0.478579699 -0.67840232
#> [293,] 0.468858353 -0.67039965
#> [294,] 0.458317700 -0.66351185
#> [295,] 0.447056714 -0.65787825
#> [296,] 0.435204029 -0.65362842
#> [297,] 0.422916946 -0.65087618
#> [298,] 0.410379171 -0.64971368
#> [299,] 0.397797234 -0.65020571
#> [300,] 0.385395646 -0.65238467
#> [301,] 0.373410891 -0.65624639
#> [302,] 0.362084473 -0.66174725
#> [303,] 0.351655298 -0.66880271
#> [304,] 0.342351713 -0.67728743
#> [305,] 0.334383602 -0.68703712
#> [306,] 0.327934909 -0.69785200
#> [307,] 0.323156973 -0.70950183
#> [308,] 0.320163022 -0.72173226
#> [309,] 0.319024073 -0.73427220
#> [310,] 0.319766469 -0.74684185
#> [311,] 0.322371111 -0.75916106
#> [312,] 0.326774422 -0.77095759
#> [313,] 0.332870930 -0.78197484
#> [314,] 0.340517297 -0.79197886
#> [315,] 0.349537559 -0.80076419
#> [316,] 0.359729272 -0.80815853
#> [317,] 0.370870249 -0.81402588
#> [318,] 0.382725564 -0.81826837
#> [319,] 0.395054502 -0.82082660
#> [320,] 0.407617192 -0.82167868
#> [321,] 0.420180664 -0.82083821
#> [322,] 0.432524164 -0.81835119
#> [323,] 0.444443587 -0.81429230
#> [324,] 0.455754963 -0.80876057
#> [325,] 0.466296973 -0.80187485
#> [326,] 0.475932513 -0.79376907
#> [327,] 0.484549387 -0.78458775
#> [328,] 0.492060198 -0.77448156
#> [329,] 0.498401565 -0.76360341
#> [330,] 0.503532789 -0.75210481
#> [331,] 0.507434072 -0.74013287
#> [332,] 0.510104440 -0.72782774
#> [333,] 0.511559463 -0.71532054
#> [334,] 0.511828878 -0.70273186
#> [335,] 0.510954212 -0.69017073
#> [336,] 0.508986463 -0.67773388
#> [337,] 0.505983905 -0.66550556
#> [338,] 0.502010062 -0.65355751
#> [339,] 0.497131870 -0.64194930
#> [340,] 0.491418052 -0.63072881
#> [341,] 0.484937714 -0.61993286
#> [342,] 0.477759157 -0.60958803
#> [343,] 0.469948897 -0.59971144
#> [344,] 0.461570887 -0.59031164
#> [345,] 0.452685922 -0.58138950
#> [346,] 0.443351209 -0.57293903
#> [347,] 0.433620088 -0.56494826
#> [348,] 0.423541880 -0.55739995
#> [349,] 0.413161848 -0.55027239
#> [350,] 0.402521259 -0.54354000
#> [351,] 0.391657518 -0.53717397
#> [352,] 0.380604375 -0.53114277
#> [353,] 0.369392188 -0.52541267
#> [354,] 0.358048219 -0.51994809
#> [355,] 0.346596981 -0.51471203
#> [356,] 0.335060595 -0.50966634
#> [357,] 0.323459176 -0.50477202
#> [358,] 0.311811233 -0.49998949
#> [359,] 0.300134071 -0.49527874
#> [360,] 0.288444209 -0.49059960
#> [361,] 0.276757783 -0.48591189
#> [362,] 0.265090965 -0.48117558
#> [363,] 0.253460357 -0.47635104
#> [364,] 0.241883386 -0.47139918
#> [365,] 0.230378680 -0.46628166
#> [366,] 0.218966425 -0.46096117
#> [367,] 0.207668700 -0.45540162
#> [368,] 0.196509773 -0.44956847
#> [369,] 0.185516375 -0.44342906
#> [370,] 0.174717912 -0.43695291
#> [371,] 0.164146643 -0.43011219
#> [372,] 0.153837784 -0.42288207
#> [373,] 0.143829554 -0.41524122
#> [374,] 0.134163142 -0.40717229
#> [375,] 0.124882583 -0.39866238
#> [376,] 0.116034558 -0.38970361
#> [377,] 0.107668080 -0.38029354
#> [378,] 0.099834094 -0.37043576
#> [379,] 0.092584960 -0.36014026
#> [380,] 0.085973843 -0.34942390
#> [381,] 0.080054001 -0.33831073
#> [382,] 0.074877974 -0.32683223
#> [383,] 0.070496704 -0.31502749
#> [384,] 0.066958575 -0.30294325
#> [385,] 0.064308412 -0.29063375
#> [386,] 0.062586451 -0.27816050
#> [387,] 0.061827305 -0.26559185
#> [388,] 0.062058966 -0.25300243
#> [389,] 0.063301849 -0.24047236
#> [390,] 0.065567931 -0.22808640
#> [391,] 0.068860011 -0.21593282
#> [392,] 0.073171098 -0.20410228
#> [393,] 0.078483991 -0.19268648
#> [394,] 0.084771028 -0.18177684
#> [395,] 0.091994062 -0.17146301
#> [396,] 0.100104636 -0.16183151
#> [397,] 0.109044392 -0.15296427
#> [398,] 0.118745680 -0.14493730
#> [399,] 0.129132386 -0.13781946
#> [400,] 0.140120928 -0.13167136
#> [401,] 0.151621420 -0.12654438
#> [402,] 0.163538958 -0.12247996
#> [403,] 0.175775005 -0.11950904
#> [404,] 0.188228826 -0.11765174
#> [405,] 0.200798940 -0.11691726
#> [406,] 0.213384553 -0.11730400
#> [407,] 0.225886932 -0.11879991
#> [408,] 0.238210688 -0.12138298
#> [409,] 0.250264941 -0.12502196
#> [410,] 0.261964339 -0.12967721
#> [411,] 0.273229922 -0.13530161
#> [412,] 0.283989809 -0.14184165
#> [413,] 0.294179715 -0.14923847
#> [414,] 0.303743287 -0.15742903
#> [415,] 0.312632273 -0.16634717
#> [416,] 0.320806528 -0.17592469
#> [417,] 0.328233881 -0.18609236
#> [418,] 0.334889871 -0.19678091
#> [419,] 0.340757371 -0.20792181
#> [420,] 0.345826128 -0.21944808
#> [421,] 0.350092233 -0.23129492
#> [422,] 0.353557540 -0.24340024
#> [423,] 0.356229060 -0.25570513
#> [424,] 0.358118331 -0.26815414
#> [425,] 0.359240806 -0.28069556
#> [426,] 0.359615239 -0.29328155
#> [427,] 0.359263110 -0.30586818
#> [428,] 0.358208071 -0.31841545
#> [429,] 0.356475449 -0.33088723
#> [430,] 0.354091776 -0.34325110
#> [431,] 0.351084379 -0.35547823
#> [432,] 0.347481014 -0.36754318
#> [433,] 0.343309547 -0.37942367
#> [434,] 0.338597684 -0.39110039
#> [435,] 0.333372746 -0.40255670
#> [436,] 0.327661484 -0.41377850
#> [437,] 0.321489931 -0.42475389
#> [438,] 0.314883297 -0.43547301
#> [439,] 0.307865883 -0.44592783
#> [440,] 0.300461033 -0.45611190
#> [441,] 0.292691106 -0.46602026
#> [442,] 0.284577463 -0.47564917
#> [443,] 0.276140481 -0.48499607
#> [444,] 0.267399571 -0.49405939
#> [445,] 0.258373212 -0.50283846
#> [446,] 0.249078990 -0.51133344
#> [447,] 0.239533647 -0.51954524
#> [448,] 0.229753125 -0.52747547
#> [449,] 0.219752622 -0.53512643
#> [450,] 0.209546636 -0.54250105
#> [451,] 0.199149017 -0.54960294
#> [452,] 0.188573012 -0.55643634
#> [453,] 0.177831306 -0.56300619
#> [454,] 0.166936061 -0.56931815
#> [455,] 0.155898946 -0.57537863
#> [456,] 0.144731171 -0.58119481
#> [457,] 0.133443505 -0.58677476
#> [458,] 0.122046301 -0.59212742
#> [459,] 0.110549511 -0.59726269
#> [460,] 0.098962704 -0.60219150
#> [461,] 0.087295079 -0.60692582
#> [462,] 0.075555483 -0.61147874
#> [463,] 0.063752430 -0.61586453
#> [464,] 0.051894127 -0.62009866
#> [465,] 0.039988500 -0.62419784
#> [466,] 0.028043242 -0.62818006
#> [467,] 0.016065863 -0.63206459
#> [468,] 0.004063753 -0.63587203
#> [469,] -0.007955728 -0.63962427
#> [470,] -0.019985155 -0.64334450
#> [471,] -0.032016912 -0.64705719
#> [472,] -0.044043052 -0.65078803
#> [473,] -0.056055133 -0.65456389
#> [474,] -0.068044026 -0.65841274
#> [475,] -0.079999708 -0.66236355
#> [476,] -0.091911031 -0.66644615
#> [477,] -0.103765470 -0.67069109
#> [478,] -0.115548859 -0.67512944
#> [479,] -0.127245112 -0.67979258
#> [480,] -0.138835946 -0.68471191
#> [481,] -0.150300593 -0.68991855
#> [482,] -0.161615540 -0.69544297
#> [483,] -0.172754277 -0.70131458
#> [484,] -0.183687084 -0.70756125
#> [485,] -0.194380867 -0.71420883
#> [486,] -0.204799045 -0.72128052
#> [487,] -0.214901527 -0.72879630
#> [488,] -0.224644766 -0.73677230
#> [489,] -0.233981928 -0.74522006
#> [490,] -0.242863174 -0.75414590
#> [491,] -0.251236071 -0.76355025
#> [492,] -0.259046144 -0.77342699
#> [493,] -0.266237563 -0.78376289
#> [494,] -0.272753971 -0.79453710
#> [495,] -0.278539437 -0.80572082
#> [496,] -0.283539532 -0.81727704
#> [497,] -0.287702482 -0.82916052
#> [498,] -0.290980393 -0.84131793
#> [499,] -0.293330497 -0.85368823
#> [500,] -0.294716374 -0.86620328
panel(Out(a2l(replicate(100,
coo_force2close(tfourier_shape(nb.h=6, alpha=2, nb.pts=200, plot=FALSE)))))) # biological shapes
