Nothing
tests/testthat/_snaps/time-warping.md
In fdasrvf: Elastic Functional Data Analysis
The function time_warping() works
Code
out
Output
$time
[1] -3.00 -2.94 -2.88 -2.82 -2.76 -2.70 -2.64 -2.58 -2.52 -2.46 -2.40 -2.34
[13] -2.28 -2.22 -2.16 -2.10 -2.04 -1.98 -1.92 -1.86 -1.80 -1.74 -1.68 -1.62
[25] -1.56 -1.50 -1.44 -1.38 -1.32 -1.26 -1.20 -1.14 -1.08 -1.02 -0.96 -0.90
[37] -0.84 -0.78 -0.72 -0.66 -0.60 -0.54 -0.48 -0.42 -0.36 -0.30 -0.24 -0.18
[49] -0.12 -0.06 0.00 0.06 0.12 0.18 0.24 0.30 0.36 0.42 0.48 0.54
[61] 0.60 0.66 0.72 0.78 0.84 0.90 0.96 1.02 1.08 1.14 1.20 1.26
[73] 1.32 1.38 1.44 1.50 1.56 1.62 1.68 1.74 1.80 1.86 1.92 1.98
[85] 2.04 2.10 2.16 2.22 2.28 2.34 2.40 2.46 2.52 2.58 2.64 2.70
[97] 2.76 2.82 2.88 2.94 3.00
$f0
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] 0.3285130 0.3798331 0.3558281 0.3921415 0.3290320 0.3791704 0.3558118
[2,] 0.3768424 0.4333517 0.4038116 0.4427068 0.3695735 0.4237764 0.3957446
[3,] 0.4279208 0.4898513 0.4544125 0.4959702 0.4122320 0.4706611 0.4376726
[4,] 0.4811547 0.5487370 0.5071506 0.5514760 0.4566804 0.5195032 0.4813403
[5,] 0.5358493 0.6093114 0.5614608 0.6086871 0.5025323 0.5699222 0.5264439
[6,] 0.5912268 0.6707897 0.6167057 0.6669944 0.5493473 0.6214828 0.5726345
[7,] 0.6464488 0.7323209 0.6721890 0.7257288 0.5966395 0.6737015 0.6195220
[8,] 0.7006421 0.7930108 0.7271740 0.7841764 0.6438860 0.7260546 0.6666815
[9,] 0.7529267 0.8519481 0.7809022 0.8415947 0.6905386 0.7779883 0.7136594
[10,] 0.8024442 0.9082319 0.8326145 0.8972317 0.7360358 0.8289295 0.7599818
[11,] 0.8483860 0.9609985 0.8815726 0.9503444 0.7798159 0.8782975 0.8051632
[12,] 0.8900193 1.0094478 0.9270797 1.0002186 0.8213303 0.9255173 0.8487162
[13,] 0.9267105 1.0528673 0.9685002 1.0461871 0.8600571 0.9700321 0.8901614
[14,] 0.9579440 1.0906523 1.0052779 1.0876479 0.8955139 1.0113160 0.9290369
[15,] 0.9833368 1.1223236 1.0369508 1.1240788 0.9272693 1.0488860 0.9649092
[16,] 1.0026483 1.1475390 1.0631636 1.1550517 0.9549543 1.0823138 0.9973817
[17,] 1.0157837 1.1661012 1.0836764 1.1802421 0.9782703 1.1112353 1.0261039
[18,] 1.0227938 1.1779607 1.0983696 1.1994368 0.9969969 1.1353590 1.0507791
[19,] 1.0238687 1.1832134 1.1072455 1.2125380 1.0109964 1.1544728 1.0711709
[20,] 1.0193282 1.1820942 1.1104260 1.2195641 1.0202162 1.1684487 1.0871086
[21,] 1.0096077 1.1749667 1.1081473 1.2206474 1.0246902 1.1772454 1.0984905
[22,] 0.9952423 1.1623098 1.1007508 1.2160285 1.0245360 1.1809083 1.1052868
[23,] 0.9768479 1.1447007 1.0886729 1.2060488 1.0199520 1.1795688 1.1075394
[24,] 0.9551019 1.1227975 1.0724311 1.1911399 1.0112114 1.1734402 1.1053614
[25,] 0.9307228 1.0973195 1.0526098 1.1718115 0.9986550 1.1628125 1.0989344
[26,] 0.9044504 1.0690273 1.0298448 1.1486383 0.9826826 1.1480456 1.0885043
[27,] 0.8770271 1.0387035 1.0048068 1.1222450 0.9637436 1.1295610 1.0743763
[28,] 0.8491799 1.0071338 0.9781858 1.0932918 0.9423263 1.1078326 1.0569083
[29,] 0.8216050 0.9750893 0.9506751 1.0624595 0.9189473 1.0833760 1.0365037
[30,] 0.7949537 0.9433107 0.9229572 1.0304345 0.8941405 1.0567385 1.0136031
[31,] 0.7698207 0.9124941 0.8956894 0.9978954 0.8684461 1.0284878 0.9886759
[32,] 0.7467353 0.8832790 0.8694925 0.9654997 0.8424005 0.9992009 0.9622116
[33,] 0.7261541 0.8562388 0.8449394 0.9338725 0.8165261 0.9694537 0.9347101
[34,] 0.7084565 0.8318728 0.8225468 0.9035958 0.7913224 0.9398106 0.9066736
[35,] 0.6939417 0.8106012 0.8027678 0.8752001 0.7672580 0.9108151 0.8785975
[36,] 0.6828285 0.7927617 0.7859865 0.8491572 0.7447631 0.8829810 0.8509625
[37,] 0.6752561 0.7786080 0.7725144 0.8258744 0.7242238 0.8567844 0.8242268
[38,] 0.6712870 0.7683104 0.7625882 0.8056908 0.7059771 0.8326576 0.7988193
[39,] 0.6709104 0.7619579 0.7563694 0.7888746 0.6903074 0.8109825 0.7751334
[40,] 0.6740482 0.7595616 0.7539456 0.7756223 0.6774434 0.7920869 0.7535219
[41,] 0.6805599 0.7610592 0.7553320 0.7660593 0.6675573 0.7762408 0.7342926
[42,] 0.6902502 0.7663210 0.7604754 0.7602409 0.6607639 0.7636542 0.7177048
[43,] 0.7028755 0.7751559 0.7692582 0.7581555 0.6571213 0.7544759 0.7039667
[44,] 0.7181513 0.7873187 0.7815038 0.7597281 0.6566325 0.7487934 0.6932342
[45,] 0.7357603 0.8025177 0.7969821 0.7648248 0.6592475 0.7466341 0.6856096
[46,] 0.7553594 0.8204221 0.8154165 0.7732579 0.6648664 0.7479665 0.6811424
[47,] 0.7765873 0.8406698 0.8364900 0.7847919 0.6733433 0.7527034 0.6798298
[48,] 0.7990717 0.8628753 0.8598525 0.7991494 0.6844899 0.7607049 0.6816188
[49,] 0.8224358 0.8866374 0.8851281 0.8160174 0.6980809 0.7717827 0.6864083
[50,] 0.8463048 0.9115462 0.9119219 0.8350544 0.7138581 0.7857045 0.6940523
[51,] 0.8703116 0.9371901 0.9398271 0.8558965 0.7315366 0.8021990 0.7043634
[52,] 0.8941020 0.9631623 0.9684317 0.8781643 0.7508091 0.8209613 0.7171169
[53,] 0.9173393 0.9890664 0.9973249 0.9014695 0.7713523 0.8416588 0.7320556
[54,] 0.9397080 1.0145221 1.0261033 0.9254205 0.7928317 0.8639368 0.7488937
[55,] 0.9609174 1.0391697 1.0543762 0.9496289 0.8149073 0.8874245 0.7673227
[56,] 0.9807041 1.0626739 1.0817707 0.9737147 0.8372382 0.9117410 0.7870161
[57,] 0.9988339 1.0847272 1.1079359 0.9973114 0.8594883 0.9365009 0.8076348
[58,] 1.0151032 1.1050530 1.1325473 1.0200704 0.8813302 0.9613201 0.8288321
[59,] 1.0293397 1.1234066 1.1553094 1.0416653 0.9024497 0.9858212 0.8502593
[60,] 1.0414028 1.1395777 1.1759583 1.0617950 0.9225496 1.0096385 0.8715702
[61,] 1.0511833 1.1533903 1.1942639 1.0801866 0.9413533 1.0324228 0.8924263
[62,] 1.0586025 1.1647031 1.2100309 1.0965981 0.9586073 1.0538454 0.9125010
[63,] 1.0636113 1.1734091 1.2230996 1.1108192 0.9740839 1.0736021 0.9314841
[64,] 1.0661884 1.1794351 1.2333460 1.1226732 0.9875833 1.0914163 0.9490853
[65,] 1.0663390 1.1827397 1.2406813 1.1320173 0.9989344 1.1070416 0.9650376
[66,] 1.0640926 1.1833124 1.2450510 1.1387424 1.0079965 1.1202642 0.9791006
[67,] 1.0595006 1.1811712 1.2464336 1.1427726 1.0146590 1.1309042 0.9910619
[68,] 1.0526346 1.1763604 1.2448390 1.1440647 1.0188420 1.1388167 1.0007401
[69,] 1.0435834 1.1689487 1.2403063 1.1426065 1.0204952 1.1438920 1.0079854
[70,] 1.0324511 1.1590259 1.2329013 1.1384153 1.0195975 1.1460557 1.0126805
[71,] 1.0193546 1.1467009 1.2227146 1.1315356 1.0161557 1.1452682 1.0147412
[72,] 1.0044211 1.1320990 1.2098584 1.1220376 1.0102027 1.1415230 1.0141160
[73,] 0.9877860 1.1153589 1.1944640 1.1100137 1.0017959 1.1348461 1.0107852
[74,] 0.9695908 1.0966305 1.1766789 1.0955771 0.9910149 1.1252932 1.0047603
[75,] 0.9499811 1.0760722 1.1566642 1.0788584 0.9779597 1.1129480 0.9960819
[76,] 0.9291045 1.0538484 1.1345917 1.0600030 0.9627477 1.0979198 0.9848183
[77,] 0.9071091 1.0301278 1.1106412 1.0391690 0.9455118 1.0803402 0.9710631
[78,] 0.8841421 1.0050805 1.0849984 1.0165236 0.9263978 1.0603611 0.9549328
[79,] 0.8603478 0.9788768 1.0578518 0.9922416 0.9055616 1.0381509 0.9365642
[80,] 0.8358671 0.9516850 1.0293911 0.9665022 0.8831671 1.0138921 0.9161114
[81,] 0.8108362 0.9236701 0.9998049 0.9394870 0.8593836 0.9877782 0.8937436
[82,] 0.7853855 0.8949923 0.9692789 0.9113779 0.8343838 0.9600106 0.8696413
[83,] 0.7596390 0.8658060 0.9379941 0.8823551 0.8083414 0.9307957 0.8439942
[84,] 0.7337140 0.8362587 0.9061258 0.8525951 0.7814292 0.9003426 0.8169979
[85,] 0.7077203 0.8064900 0.8738417 0.8222698 0.7538174 0.8688601 0.7888513
[86,] 0.6817599 0.7766316 0.8413017 0.7915443 0.7256720 0.8365547 0.7597541
[87,] 0.6559272 0.7468061 0.8086562 0.7605763 0.6971530 0.8036283 0.7299046
[88,] 0.6303085 0.7171270 0.7760462 0.7295151 0.6684137 0.7702763 0.6994968
[89,] 0.6049823 0.6876986 0.7436022 0.6985004 0.6395991 0.7366859 0.6687191
[90,] 0.5800190 0.6586158 0.7114446 0.6676623 0.6108457 0.7030348 0.6377523
[91,] 0.5554815 0.6299641 0.6796827 0.6371205 0.5822801 0.6694900 0.6067679
[92,] 0.5314255 0.6018199 0.6484153 0.6069841 0.5540191 0.6362067 0.5759271
[93,] 0.5078990 0.5742507 0.6177308 0.5773517 0.5261690 0.6033277 0.5453796
[94,] 0.4849437 0.5473151 0.5877069 0.5483111 0.4988257 0.5709831 0.5152629
[95,] 0.4625945 0.5210635 0.5584114 0.5199398 0.4720746 0.5392895 0.4857015
[96,] 0.4408801 0.4955385 0.5299023 0.4923048 0.4459905 0.5083504 0.4568072
[97,] 0.4198239 0.4707749 0.5022282 0.4654636 0.4206381 0.4782564 0.4286780
[98,] 0.3994435 0.4468007 0.4754290 0.4394637 0.3960720 0.4490846 0.4013991
[99,] 0.3797519 0.4236373 0.4495364 0.4143440 0.3723374 0.4208999 0.3750424
[100,] 0.3607574 0.4012998 0.4245742 0.3901348 0.3494706 0.3937551 0.3496674
[101,] 0.3424644 0.3797981 0.4005590 0.3668583 0.3274990 0.3676914 0.3253212
[,8] [,9] [,10] [,11] [,12] [,13] [,14]
[1,] 0.3585777 0.3725026 0.3933794 0.3321620 0.3584629 0.3985840 0.3460017
[2,] 0.3969400 0.4104628 0.4315324 0.3627992 0.3898797 0.4317508 0.3733174
[3,] 0.4371775 0.4502389 0.4714714 0.3948405 0.4227061 0.4663751 0.4018101
[4,] 0.4790730 0.4916420 0.5130302 0.4281701 0.4568398 0.5023648 0.4314160
[5,] 0.5223677 0.5344458 0.5560093 0.4626481 0.4921565 0.5396068 0.4620558
[6,] 0.5667625 0.5783884 0.6001758 0.4981105 0.5285093 0.5779667 0.4936346
[7,] 0.6119219 0.6231733 0.6452653 0.5343698 0.5657291 0.6172885 0.5260414
[8,] 0.6574771 0.6684732 0.6909835 0.5712160 0.6036252 0.6573950 0.5591488
[9,] 0.7030319 0.7139335 0.7370092 0.6084181 0.6419865 0.6980884 0.5928137
[10,] 0.7481684 0.7591771 0.7829980 0.6457264 0.6805825 0.7391512 0.6268776
[11,] 0.7924539 0.8038096 0.8285864 0.6828750 0.7191660 0.7803477 0.6611668
[12,] 0.8354488 0.8474260 0.8733965 0.7195849 0.7574746 0.8214256 0.6954944
[13,] 0.8767142 0.8896167 0.9170423 0.7555677 0.7952344 0.8621188 0.7296608
[14,] 0.9158207 0.9299751 0.9591347 0.7905291 0.8321626 0.9021493 0.7634556
[15,] 0.9523568 0.9681048 0.9992886 0.8241739 0.8679715 0.9412309 0.7966598
[16,] 0.9859369 1.0036270 1.0371291 0.8562100 0.9023722 0.9790719 0.8290475
[17,] 1.0162099 1.0361881 1.0722981 0.8863531 0.9350787 1.0153794 0.8603891
[18,] 1.0428659 1.0654661 1.1044612 0.9143320 0.9658127 1.0498631 0.8904534
[19,] 1.0656434 1.0911781 1.1333139 0.9398931 0.9943075 1.0822392 0.9190110
[20,] 1.0843344 1.1130855 1.1585876 0.9628052 1.0203129 1.1122348 0.9458370
[21,] 1.0987896 1.1309994 1.1800552 0.9828637 1.0435997 1.1395926 0.9707150
[22,] 1.1089215 1.1447853 1.1975359 0.9998952 1.0639636 1.1640748 0.9934399
[23,] 1.1147061 1.1543656 1.2108994 1.0137611 1.0812294 1.1854677 1.0138214
[24,] 1.1161843 1.1597223 1.2200691 1.0243607 1.0952552 1.2035854 1.0316875
[25,] 1.1134609 1.1608980 1.2250242 1.0316340 1.1059347 1.2182740 1.0468879
[26,] 1.1067028 1.1579953 1.2258016 1.0355636 1.1132009 1.2294146 1.0592969
[27,] 1.0961357 1.1511759 1.2224953 1.0361763 1.1170278 1.2369270 1.0688163
[28,] 1.0820400 1.1406580 1.2152563 1.0335433 1.1174323 1.2407713 1.0753781
[29,] 1.0647456 1.1267128 1.2042903 1.0277799 1.1144747 1.2409506 1.0789470
[30,] 1.0446254 1.1096598 1.1898553 1.0190452 1.1082593 1.2375118 1.0795218
[31,] 1.0220884 1.0898616 1.1722572 1.0075395 1.0989337 1.2305466 1.0771371
[32,] 0.9975726 1.0677180 1.1518460 0.9935023 1.0866875 1.2201910 1.0718643
[33,] 0.9715368 1.0436587 1.1290093 0.9772092 1.0717505 1.2066250 1.0638117
[34,] 0.9444527 1.0181366 1.1041675 0.9589677 1.0543897 1.1900707 1.0531244
[35,] 0.9167970 0.9916204 1.0777660 0.9391131 1.0349062 1.1707901 1.0399836
[36,] 0.8890432 0.9645865 1.0502691 0.9180036 1.0136314 1.1490825 1.0246051
[37,] 0.8616543 0.9375115 1.0221524 0.8960151 0.9909221 1.1252805 1.0072373
[38,] 0.8350752 0.9108650 0.9938954 0.8735354 0.9671559 1.0997460 0.9881590
[39,] 0.8097262 0.8851018 0.9659741 0.8509585 0.9427257 1.0728655 0.9676757
[40,] 0.7859969 0.8606555 0.9388539 0.8286789 0.9180343 1.0450449 0.9461165
[41,] 0.7642411 0.8379316 0.9129825 0.8070855 0.8934880 1.0167038 0.9238298
[42,] 0.7447714 0.8173021 0.8887832 0.7865557 0.8694914 0.9882698 0.9011789
[43,] 0.7278563 0.7990998 0.8666486 0.7674498 0.8464410 0.9601723 0.8785369
[44,] 0.7137165 0.7836143 0.8469352 0.7501057 0.8247192 0.9328362 0.8562818
[45,] 0.7025233 0.7710879 0.8299582 0.7348337 0.8046887 0.9066760 0.8347911
[46,] 0.6943968 0.7617126 0.8159868 0.7219116 0.7866872 0.8820892 0.8144359
[47,] 0.6894056 0.7556282 0.8052413 0.7115810 0.7710220 0.8594506 0.7955759
[48,] 0.6875672 0.7529209 0.7978894 0.7040432 0.7579651 0.8391067 0.7785535
[49,] 0.6888488 0.7536226 0.7940445 0.6994562 0.7477495 0.8213697 0.7636881
[50,] 0.6931692 0.7577112 0.7937645 0.6979323 0.7405647 0.8065135 0.7512714
[51,] 0.7004009 0.7651116 0.7970512 0.6995363 0.7365541 0.7947684 0.7415618
[52,] 0.7103737 0.7756980 0.8038503 0.7042840 0.7358122 0.7863175 0.7347800
[53,] 0.7228776 0.7892955 0.8140532 0.7121424 0.7383830 0.7812936 0.7311048
[54,] 0.7376671 0.8056840 0.8274986 0.7230292 0.7442586 0.7797766 0.7306691
[55,] 0.7544655 0.8246016 0.8439747 0.7368145 0.7533789 0.7817915 0.7335567
[56,] 0.7729698 0.8457490 0.8632235 0.7533218 0.7656323 0.7873073 0.7397999
[57,] 0.7928554 0.8687944 0.8849439 0.7723309 0.7808563 0.7962372 0.7493778
[58,] 0.8137817 0.8933784 0.9087969 0.7935803 0.7988397 0.8084385 0.7622144
[59,] 0.8353967 0.9191197 0.9344104 0.8167716 0.8193252 0.8237148 0.7781793
[60,] 0.8573430 0.9456210 0.9613850 0.8415730 0.8420127 0.8418175 0.7970874
[61,] 0.8792626 0.9724747 0.9892998 0.8676244 0.8665635 0.8624493 0.8187007
[62,] 0.9008020 0.9992688 1.0177190 0.8945427 0.8926048 0.8852681 0.8427305
[63,] 0.9216171 1.0255932 1.0461977 0.9219268 0.9197353 0.9098916 0.8688406
[64,] 0.9413782 1.0510452 1.0742891 0.9493643 0.9475306 0.9359026 0.8966511
[65,] 0.9597736 1.0752355 1.1015507 0.9764371 0.9755498 0.9628552 0.9257437
[66,] 0.9765141 1.0977931 1.1275508 1.0027276 1.0033421 0.9902813 0.9556674
[67,] 0.9913360 1.1183708 1.1518748 1.0278252 1.0304533 1.0176979 0.9859445
[68,] 1.0040044 1.1366492 1.1741308 1.0513325 1.0564334 1.0446143 1.0160785
[69,] 1.0143151 1.1523410 1.1939553 1.0728708 1.0808428 1.0705402 1.0455612
[70,] 1.0220973 1.1651946 1.2110181 1.0920863 1.1032600 1.0949935 1.0738815
[71,] 1.0272140 1.1749963 1.2250267 1.1086551 1.1232877 1.1175078 1.1005334
[72,] 1.0295635 1.1815730 1.2357301 1.1222878 1.1405591 1.1376408 1.1250246
[73,] 1.0290790 1.1847937 1.2429214 1.1327339 1.1547439 1.1549808 1.1468856
[74,] 1.0257289 1.1845696 1.2464405 1.1397851 1.1655536 1.1691544 1.1656779
[75,] 1.0195152 1.1808549 1.2461750 1.1432781 1.1727453 1.1798324 1.1810016
[76,] 1.0104729 1.1736458 1.2420612 1.1430966 1.1761259 1.1867352 1.1925034
[77,] 0.9986676 1.1629793 1.2340840 1.1391722 1.1755546 1.1896377 1.1998832
[78,] 0.9841938 1.1489315 1.2222754 1.1314848 1.1709448 1.1883729 1.2028993
[79,] 0.9671721 1.1316149 1.2067129 1.1200620 1.1622648 1.1828340 1.2013736
[80,] 0.9477468 1.1111760 1.1875176 1.1049778 1.1495373 1.1729764 1.1951947
[81,] 0.9260823 1.0877916 1.1648502 1.0863502 1.1328389 1.1588173 1.1843202
[82,] 0.9023606 1.0616652 1.1389082 1.0643387 1.1122970 1.1404352 1.1687768
[83,] 0.8767779 1.0330234 1.1099212 1.0391402 1.0880875 1.1179672 1.1486603
[84,] 0.8495412 1.0021115 1.0781468 1.0109856 1.0604303 1.0916059 1.1241328
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[,15] [,16] [,17] [,18] [,19] [,20] [,21]
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[79,] 1.0258305 1.0945458 1.1979200 1.0906175 1.2322817 1.1621263 0.9861101
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$q0
[,1] [,2] [,3] [,4] [,5] [,6]
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$fmean
[1] 0.3679645 0.4007400 0.4345401 0.4696884 0.5061259 0.5437690 0.5824046
[8] 0.6217686 0.6616765 0.7019210 0.7422272 0.7822015 0.8214985 0.8598277
[15] 0.8969069 0.9324332 0.9660815 0.9976543 1.0268342 1.0532614 1.0767143
[22] 1.0969649 1.1138087 1.1270507 1.1366251 1.1423607 1.1442203 1.1422012
[29] 1.1364477 1.1275194 1.1155573 1.1006605 1.0831063 1.0630472 1.0407704
[36] 1.0167503 0.9914582 0.9652953 0.9386200 0.9118695 0.8856356 0.8604329
[43] 0.8366226 0.8145892 0.7946997 0.7772685 0.7625857 0.7508511 0.7421133
[50] 0.7364850 0.7344277 0.7361446 0.7413867 0.7498508 0.7613491 0.7757189
[57] 0.7926133 0.8117307 0.8328765 0.8558744 0.8803863 0.9060000 0.9323669
[64] 0.9589891 0.9853623 1.0109867 1.0352086 1.0574983 1.0775297 1.0950161
[71] 1.1096891 1.1213701 1.1298935 1.1348064 1.1362651 1.1341064 1.1279017
[78] 1.1180797 1.1048672 1.0883181 1.0684785 1.0455153 1.0196523 0.9909457
[85] 0.9595905 0.9260615 0.8907494 0.8538968 0.8157665 0.7767187 0.7371595
[92] 0.6974290 0.6577130 0.6182356 0.5792716 0.5410062 0.5036625 0.4673798
[99] 0.4322733 0.3985116 0.3657865
$mqn
[1] 0.73522259 0.74294208 0.75809410 0.77259623 0.78592560 0.79818011
[7] 0.80669672 0.81324924 0.81785615 0.82011808 0.81911495 0.81334267
[13] 0.80521659 0.79326223 0.77891465 0.75993610 0.73763626 0.71296557
[19] 0.68142687 0.64541924 0.60431498 0.55661789 0.50163406 0.43561526
[25] 0.35970545 0.24859062 0.01383817 -0.25979815 -0.35254483 -0.41632030
[31] -0.47477860 -0.52071590 -0.56035383 -0.59551528 -0.62283328 -0.64245563
[37] -0.65598915 -0.66466088 -0.66888146 -0.66654381 -0.65588441 -0.64023721
[43] -0.61949508 -0.59217578 -0.55884837 -0.51839127 -0.46978270 -0.41286504
[49] -0.34756554 -0.25847346 -0.04205041 0.24289266 0.34020650 0.40791672
[55] 0.46570636 0.51196640 0.54866993 0.57983244 0.60716856 0.63082774
[61] 0.64739446 0.65929616 0.66650241 0.66571889 0.66024543 0.64670222
[67] 0.62383562 0.59482678 0.56026378 0.51863853 0.46916048 0.41140938
[73] 0.33889963 0.22116165 -0.01706574 -0.26769836 -0.36764505 -0.43844998
[79] -0.49817461 -0.55087020 -0.59821513 -0.63841788 -0.67418461 -0.70877444
[85] -0.73675671 -0.75817084 -0.77604669 -0.79131014 -0.80301820 -0.81040376
[91] -0.81356429 -0.81391814 -0.81326628 -0.80901900 -0.80267633 -0.79449601
[97] -0.78330442 -0.77191828 -0.75786583 -0.74231295 -0.73471569
$warping_functions
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000
[2,] 0.005969779 0.006633088 0.006633088 0.00710688 0.007462224 0.007462224
[3,] 0.011945398 0.013272665 0.013272665 0.01422071 0.014931748 0.014931748
[4,] 0.017947261 0.019941402 0.019941402 0.02136579 0.022434077 0.022434077
[5,] 0.023980726 0.026645251 0.026645251 0.02854848 0.029975907 0.029975907
[6,] 0.030013875 0.033347208 0.033347208 0.03572915 0.037515609 0.038016650
[7,] 0.036706567 0.040039900 0.040042750 0.04289989 0.045044887 0.046047880
[8,] 0.043408441 0.046741774 0.047223329 0.05008450 0.052584496 0.054090129
[9,] 0.050104053 0.053437387 0.054397200 0.05761706 0.060117060 0.062124864
[10,] 0.056782712 0.060116046 0.061552906 0.06513055 0.067630551 0.070139255
[11,] 0.063438612 0.066771946 0.068684228 0.07261844 0.075118439 0.078126335
[12,] 0.070074503 0.073407836 0.075794110 0.08008382 0.082583816 0.086089403
[13,] 0.076709132 0.080045498 0.082902641 0.08754777 0.090050958 0.094050958
[14,] 0.083340069 0.087150074 0.090007578 0.09500758 0.098008083 0.102008083
[15,] 0.089946412 0.094228298 0.097439713 0.10243971 0.105935694 0.109935694
[16,] 0.096999541 0.101285256 0.104849518 0.10984952 0.113839486 0.118166132
[17,] 0.104092894 0.108378608 0.112297539 0.11729754 0.121784041 0.126441710
[18,] 0.111263918 0.115549632 0.119827114 0.12482711 0.129815588 0.134807904
[19,] 0.118501743 0.122787457 0.127426830 0.13242683 0.137921952 0.143252033
[20,] 0.125773077 0.130061731 0.135061731 0.14006585 0.146065846 0.151735257
[21,] 0.133045092 0.137697347 0.142697347 0.14821050 0.154210503 0.160219274
[22,] 0.140309358 0.145309358 0.150329982 0.15632998 0.162329982 0.168677064
[23,] 0.147912047 0.152912047 0.158439517 0.16443952 0.170439517 0.177124497
[24,] 0.155559831 0.160497627 0.166597153 0.17259715 0.178597153 0.185622034
[25,] 0.163262590 0.167344524 0.174813429 0.18101679 0.186813429 0.194180655
[26,] 0.170895888 0.174527851 0.183433421 0.19089589 0.195433421 0.203159814
[27,] 0.176604849 0.183209697 0.193209697 0.19660485 0.204567758 0.213209697
[28,] 0.183650395 0.193650395 0.202920316 0.20365040 0.213650395 0.223650395
[29,] 0.192931198 0.202442665 0.210344958 0.21293120 0.222931198 0.232931198
[30,] 0.201499183 0.209894982 0.217499183 0.22187398 0.231873979 0.241873979
[31,] 0.208799710 0.217499697 0.224799710 0.23099964 0.240999637 0.250999637
[32,] 0.216301087 0.225313632 0.232301087 0.24037636 0.250322593 0.260322593
[33,] 0.223985110 0.233317823 0.239985110 0.24998139 0.258555475 0.268555475
[34,] 0.231808875 0.241467578 0.247808875 0.25836665 0.266938080 0.276938080
[35,] 0.239722220 0.249710646 0.255722220 0.26684524 0.275416665 0.285416665
[36,] 0.247725909 0.258047822 0.263725909 0.27542062 0.283992046 0.293992046
[37,] 0.255822515 0.266481786 0.271822515 0.28409555 0.292666980 0.302666980
[38,] 0.264008593 0.275008952 0.280009207 0.29286635 0.301437779 0.311437779
[39,] 0.272182271 0.283523199 0.288766718 0.30162386 0.310227838 0.320227838
[40,] 0.280206204 0.291867143 0.297349061 0.31024057 0.320240571 0.330240571
[41,] 0.288621217 0.300049788 0.305764074 0.32005809 0.330058087 0.340058087
[42,] 0.296979732 0.308408304 0.314122589 0.32980969 0.339809688 0.349809688
[43,] 0.305350996 0.316779568 0.322493853 0.33957616 0.349576162 0.359576162
[44,] 0.313752995 0.325181566 0.330895852 0.34937849 0.359378494 0.369378494
[45,] 0.322203502 0.333632074 0.339346359 0.35923742 0.369237419 0.379237419
[46,] 0.330751193 0.342179764 0.347674771 0.36920972 0.379209725 0.389209725
[47,] 0.339386678 0.350815250 0.356070381 0.37928446 0.389284458 0.399284458
[48,] 0.349353444 0.359445809 0.364461203 0.38935344 0.399353444 0.409353444
[49,] 0.359371534 0.369371534 0.372809612 0.39937153 0.409371534 0.419371534
[50,] 0.369799542 0.379799542 0.381499618 0.40979954 0.419799542 0.429799542
[51,] 0.375662705 0.391325410 0.391325410 0.42132541 0.425662705 0.441325410
[52,] 0.382477145 0.402477145 0.402477145 0.43247714 0.432477145 0.452477145
[53,] 0.392563291 0.412563291 0.412563291 0.44256329 0.442990507 0.462563291
[54,] 0.402264494 0.422264494 0.422264494 0.45226449 0.454308577 0.472264494
[55,] 0.411903647 0.431903647 0.431903647 0.46190365 0.465554255 0.481903647
[56,] 0.421679314 0.441439412 0.441679314 0.47143941 0.476679314 0.491439412
[57,] 0.432699824 0.450885563 0.452699824 0.48088556 0.487699824 0.500885563
[58,] 0.443725391 0.460336049 0.463725391 0.49033605 0.498725391 0.510336049
[59,] 0.454892596 0.469907939 0.474892596 0.49990794 0.509892596 0.519907939
[60,] 0.466235032 0.479630027 0.486235032 0.50963003 0.519630027 0.529630027
[61,] 0.477724669 0.489478288 0.497724669 0.51947829 0.529478288 0.539478288
[62,] 0.489442047 0.499521755 0.509442047 0.52952175 0.539521755 0.549521755
[63,] 0.499758760 0.509758760 0.519758760 0.53975876 0.549758760 0.559758760
[64,] 0.510086065 0.520086065 0.530100409 0.55008606 0.560086065 0.570086065
[65,] 0.520464621 0.530464621 0.542208725 0.56046462 0.570464621 0.580464621
[66,] 0.530861776 0.541005406 0.554338739 0.57086178 0.580861776 0.590861776
[67,] 0.541404904 0.553071571 0.566404904 0.58120420 0.591204204 0.601404904
[68,] 0.553331251 0.564997918 0.578331251 0.59166458 0.601664585 0.613331251
[69,] 0.565143763 0.576810429 0.590143763 0.60347710 0.613477096 0.625143763
[70,] 0.576916412 0.588583079 0.601971167 0.61524975 0.625249745 0.636916412
[71,] 0.588638113 0.600304779 0.614027773 0.62697145 0.636971446 0.648638113
[72,] 0.600306531 0.611691312 0.626029575 0.63863986 0.648639864 0.660306531
[73,] 0.611748992 0.621748992 0.638098790 0.65037382 0.660373824 0.671748992
[74,] 0.622188579 0.632188579 0.650626295 0.66218858 0.672188579 0.682188579
[75,] 0.633092777 0.643092777 0.663092777 0.67309278 0.683092777 0.693092777
[76,] 0.645293596 0.655293596 0.673529064 0.68352906 0.693529064 0.703529064
[77,] 0.659735282 0.669735282 0.683946068 0.69394607 0.703946068 0.713946068
[78,] 0.673255450 0.683255450 0.695551984 0.70555198 0.715551984 0.725551984
[79,] 0.685669515 0.695669515 0.707190170 0.71719017 0.727190170 0.737190170
[80,] 0.698195102 0.708195102 0.718932908 0.72893291 0.738932908 0.748932908
[81,] 0.710815957 0.720815957 0.730764960 0.74076496 0.750734361 0.760713962
[82,] 0.723579104 0.733579104 0.742730410 0.75273041 0.762221194 0.771881716
[83,] 0.736536779 0.746536779 0.754878230 0.76487823 0.773883101 0.783219682
[84,] 0.749755140 0.759755140 0.767270444 0.77727044 0.785779626 0.794785748
[85,] 0.763125280 0.773125280 0.779804950 0.78980495 0.797812752 0.806484620
[86,] 0.776476155 0.786476155 0.793142822 0.80232140 0.809828539 0.818166636
[87,] 0.789777951 0.799777951 0.806444618 0.81479183 0.822291829 0.829805707
[88,] 0.803705074 0.813052451 0.819719118 0.82723667 0.834736673 0.841747206
[89,] 0.817595190 0.826281133 0.832947800 0.83963856 0.847138562 0.853653020
[90,] 0.831448704 0.839474956 0.846141623 0.85280829 0.859507771 0.865527461
[91,] 0.845313378 0.853313378 0.859346074 0.86601274 0.871886945 0.877411467
[92,] 0.859182735 0.867182735 0.873182735 0.87922165 0.884270299 0.889299487
[93,] 0.873973560 0.881041989 0.887041989 0.89242094 0.896644633 0.901178848
[94,] 0.888874637 0.894949661 0.900949661 0.90566634 0.909062197 0.913099710
[95,] 0.903885658 0.908959947 0.914959947 0.91900947 0.921571382 0.925108526
[96,] 0.918979528 0.923979528 0.929047560 0.93242625 0.934149607 0.937183623
[97,] 0.934141009 0.939141009 0.943198275 0.94590312 0.946784175 0.949312808
[98,] 0.949347635 0.954347635 0.957391126 0.95942012 0.959456363 0.961956363
[99,] 0.966180924 0.969562832 0.971591976 0.97294474 0.972944739 0.974635693
[100,] 0.983090412 0.984781370 0.985795946 0.98647233 0.986472329 0.987317809
[101,] 1.000000000 1.000000000 1.000000000 1.00000000 1.000000000 1.000000000
[,7] [,8] [,9] [,10] [,11] [,12]
[1,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[2,] 0.007959706 0.008528256 0.008528256 0.008528256 0.009949632 0.009949632
[3,] 0.015927198 0.017064855 0.017064855 0.017064855 0.019908997 0.019908997
[4,] 0.023929682 0.025638945 0.025638945 0.025638945 0.029912102 0.029912102
[5,] 0.031974301 0.034258180 0.034258180 0.034258180 0.039967876 0.039967876
[6,] 0.040017344 0.042874982 0.042874982 0.042874982 0.050020812 0.050020812
[7,] 0.048383208 0.051479871 0.051479871 0.051479871 0.060059850 0.060059850
[8,] 0.056760551 0.060096566 0.060096566 0.060112661 0.070112661 0.070112661
[9,] 0.065130067 0.068705211 0.068705211 0.070156080 0.080156080 0.080156080
[10,] 0.073478391 0.077292059 0.077292059 0.080174069 0.090174069 0.090174069
[11,] 0.081798265 0.085849644 0.085849644 0.090157919 0.100157919 0.100157919
[12,] 0.090095789 0.094381504 0.094381504 0.100111754 0.110111754 0.110111754
[13,] 0.098626026 0.102911741 0.102911741 0.110063697 0.120063697 0.120063697
[14,] 0.107151517 0.111437232 0.111437232 0.120010103 0.130010103 0.130010103
[15,] 0.115645386 0.119931101 0.119931101 0.129919618 0.139919618 0.139919618
[16,] 0.124113735 0.128399450 0.129799358 0.139799358 0.149799358 0.149799358
[17,] 0.132625758 0.136911473 0.139730051 0.149730051 0.159730051 0.159730051
[18,] 0.141230987 0.145516701 0.149769485 0.159769485 0.169769485 0.169769485
[19,] 0.149916377 0.154202092 0.159902440 0.169902440 0.179902440 0.179902440
[20,] 0.158641978 0.162927693 0.170082308 0.180082308 0.190082308 0.190082308
[21,] 0.167368396 0.171654111 0.180263129 0.190263129 0.200263129 0.200263129
[22,] 0.176067837 0.180412477 0.190412477 0.200412477 0.210412477 0.210412477
[23,] 0.184756625 0.190549396 0.200549396 0.210549396 0.220549396 0.220549396
[24,] 0.193496949 0.200746441 0.210746441 0.220746441 0.230746441 0.230746441
[25,] 0.202300102 0.211016786 0.221016786 0.231016786 0.241016786 0.241016786
[26,] 0.211791776 0.220895888 0.230895888 0.240895888 0.250895888 0.251791776
[27,] 0.223209697 0.226604849 0.236604849 0.246604849 0.256604849 0.263209697
[28,] 0.233650395 0.235475593 0.243650395 0.253650395 0.263650395 0.274380475
[29,] 0.242931198 0.249396797 0.252931198 0.262931198 0.272931198 0.285517437
[30,] 0.251873979 0.261873979 0.261873979 0.271873979 0.281873979 0.296248775
[31,] 0.260999637 0.270999637 0.270999637 0.280999637 0.290999637 0.307199564
[32,] 0.270376358 0.280376358 0.280376358 0.290376358 0.300376358 0.318451630
[33,] 0.279981388 0.289981388 0.289981388 0.299981388 0.309981388 0.329977666
[34,] 0.289761094 0.299761094 0.299761094 0.309761094 0.319761094 0.339761094
[35,] 0.299652776 0.309652776 0.309652776 0.319652776 0.329652776 0.349652776
[36,] 0.309657387 0.319657387 0.319657387 0.329657387 0.339657387 0.359657387
[37,] 0.319778143 0.329778143 0.329778143 0.339778143 0.349778143 0.369778143
[38,] 0.330010742 0.340010742 0.340010742 0.350010742 0.360010742 0.380010742
[39,] 0.340227838 0.350227838 0.350227838 0.360227838 0.370227838 0.390227838
[40,] 0.350240571 0.360240571 0.360240571 0.370240571 0.380240571 0.400240571
[41,] 0.360058087 0.370058087 0.370058087 0.380058087 0.390058087 0.410058087
[42,] 0.369809688 0.379809688 0.379809688 0.389809688 0.399809688 0.419809688
[43,] 0.379576162 0.389576162 0.389576162 0.399576162 0.409576162 0.429576162
[44,] 0.389378494 0.399378494 0.399378494 0.409378494 0.419378494 0.439378494
[45,] 0.399237419 0.409237419 0.409237419 0.419237419 0.429237419 0.449237419
[46,] 0.409209725 0.419209725 0.419209725 0.429209725 0.439209725 0.459209725
[47,] 0.419284458 0.429284458 0.429284458 0.439284458 0.449284458 0.469284458
[48,] 0.429353444 0.439353444 0.439353444 0.449353444 0.459353444 0.479353444
[49,] 0.439371534 0.449371534 0.449371534 0.459371534 0.469371534 0.489371534
[50,] 0.449799542 0.459799542 0.459799542 0.469799542 0.479799542 0.499799542
[51,] 0.461325410 0.471325410 0.471325410 0.481325410 0.491325410 0.505662705
[52,] 0.472477145 0.482477145 0.482477145 0.492477145 0.502477145 0.512890002
[53,] 0.482563291 0.492563291 0.492563291 0.502990507 0.512563291 0.524657173
[54,] 0.492264494 0.502264494 0.502264494 0.514308577 0.522264494 0.535975243
[55,] 0.501903647 0.511903647 0.512220922 0.525554255 0.532220922 0.547220922
[56,] 0.511439412 0.521439412 0.523345980 0.536679314 0.543345980 0.558345980
[57,] 0.520885563 0.530885563 0.534366490 0.547699824 0.554366490 0.569366490
[58,] 0.530336049 0.540336049 0.545392058 0.558725391 0.565392058 0.580336049
[59,] 0.539907939 0.549907939 0.556559263 0.569892596 0.576559263 0.589907939
[60,] 0.549630027 0.559630027 0.567901698 0.579630027 0.587901698 0.599630027
[61,] 0.559478288 0.569478288 0.579391336 0.589478288 0.599391336 0.609478288
[62,] 0.569521755 0.579521755 0.589521755 0.599521755 0.609521755 0.619521755
[63,] 0.579758760 0.589758760 0.599758760 0.609758760 0.619758760 0.629758760
[64,] 0.590086065 0.600086065 0.610086065 0.620086065 0.630086065 0.640086065
[65,] 0.600464621 0.610464621 0.620464621 0.630464621 0.640464621 0.650464621
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$original_variance
[1] 0.08301909
$amplitude_variance
[1] 0.02002066
$phase_variance
[1] 0.06285961
$qun
[1] 0.08575189 0.05505551
$inverse_average_warping_function
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[49] 0.479371534 0.489799542 0.501325410 0.512477145 0.522563291 0.532264494
[55] 0.541903647 0.551439412 0.560885563 0.570336049 0.579907939 0.589630027
[61] 0.599478288 0.609521755 0.619758760 0.630086065 0.640464621 0.650861776
[67] 0.661204204 0.671426787 0.681551796 0.691642639 0.701689811 0.711691312
[73] 0.721748992 0.732188579 0.743092777 0.753529064 0.763156854 0.772441587
[79] 0.781752136 0.791146327 0.800611968 0.810184328 0.819902584 0.829816355
[85] 0.839843960 0.849857116 0.859833463 0.869789339 0.879710850 0.889606217
[91] 0.899509556 0.909416239 0.919315707 0.929249758 0.939257105 0.949319685
[97] 0.959427340 0.969565090 0.979708554 0.989854247 1.000000000
$rsamps
[1] FALSE
$call
$call$lambda
[1] 0
$call$penalty_method
[1] "roughness"
$call$centroid_type
[1] "mean"
$call$center_warpings
[1] TRUE
$call$smooth_data
[1] FALSE
$call$sparam
[1] 25
$call$parallel
[1] FALSE
$call$optim_method
[1] "DP"
$call$max_iter
[1] 1
attr(,"class")
[1] "fdawarp"
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fdasrvf documentation built on Nov. 19, 2023, 1:09 a.m.
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The function time_warping() works
Code
out
Output
$time
[1] -3.00 -2.94 -2.88 -2.82 -2.76 -2.70 -2.64 -2.58 -2.52 -2.46 -2.40 -2.34
[13] -2.28 -2.22 -2.16 -2.10 -2.04 -1.98 -1.92 -1.86 -1.80 -1.74 -1.68 -1.62
[25] -1.56 -1.50 -1.44 -1.38 -1.32 -1.26 -1.20 -1.14 -1.08 -1.02 -0.96 -0.90
[37] -0.84 -0.78 -0.72 -0.66 -0.60 -0.54 -0.48 -0.42 -0.36 -0.30 -0.24 -0.18
[49] -0.12 -0.06 0.00 0.06 0.12 0.18 0.24 0.30 0.36 0.42 0.48 0.54
[61] 0.60 0.66 0.72 0.78 0.84 0.90 0.96 1.02 1.08 1.14 1.20 1.26
[73] 1.32 1.38 1.44 1.50 1.56 1.62 1.68 1.74 1.80 1.86 1.92 1.98
[85] 2.04 2.10 2.16 2.22 2.28 2.34 2.40 2.46 2.52 2.58 2.64 2.70
[97] 2.76 2.82 2.88 2.94 3.00
$f0
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] 0.3285130 0.3798331 0.3558281 0.3921415 0.3290320 0.3791704 0.3558118
[2,] 0.3768424 0.4333517 0.4038116 0.4427068 0.3695735 0.4237764 0.3957446
[3,] 0.4279208 0.4898513 0.4544125 0.4959702 0.4122320 0.4706611 0.4376726
[4,] 0.4811547 0.5487370 0.5071506 0.5514760 0.4566804 0.5195032 0.4813403
[5,] 0.5358493 0.6093114 0.5614608 0.6086871 0.5025323 0.5699222 0.5264439
[6,] 0.5912268 0.6707897 0.6167057 0.6669944 0.5493473 0.6214828 0.5726345
[7,] 0.6464488 0.7323209 0.6721890 0.7257288 0.5966395 0.6737015 0.6195220
[8,] 0.7006421 0.7930108 0.7271740 0.7841764 0.6438860 0.7260546 0.6666815
[9,] 0.7529267 0.8519481 0.7809022 0.8415947 0.6905386 0.7779883 0.7136594
[10,] 0.8024442 0.9082319 0.8326145 0.8972317 0.7360358 0.8289295 0.7599818
[11,] 0.8483860 0.9609985 0.8815726 0.9503444 0.7798159 0.8782975 0.8051632
[12,] 0.8900193 1.0094478 0.9270797 1.0002186 0.8213303 0.9255173 0.8487162
[13,] 0.9267105 1.0528673 0.9685002 1.0461871 0.8600571 0.9700321 0.8901614
[14,] 0.9579440 1.0906523 1.0052779 1.0876479 0.8955139 1.0113160 0.9290369
[15,] 0.9833368 1.1223236 1.0369508 1.1240788 0.9272693 1.0488860 0.9649092
[16,] 1.0026483 1.1475390 1.0631636 1.1550517 0.9549543 1.0823138 0.9973817
[17,] 1.0157837 1.1661012 1.0836764 1.1802421 0.9782703 1.1112353 1.0261039
[18,] 1.0227938 1.1779607 1.0983696 1.1994368 0.9969969 1.1353590 1.0507791
[19,] 1.0238687 1.1832134 1.1072455 1.2125380 1.0109964 1.1544728 1.0711709
[20,] 1.0193282 1.1820942 1.1104260 1.2195641 1.0202162 1.1684487 1.0871086
[21,] 1.0096077 1.1749667 1.1081473 1.2206474 1.0246902 1.1772454 1.0984905
[22,] 0.9952423 1.1623098 1.1007508 1.2160285 1.0245360 1.1809083 1.1052868
[23,] 0.9768479 1.1447007 1.0886729 1.2060488 1.0199520 1.1795688 1.1075394
[24,] 0.9551019 1.1227975 1.0724311 1.1911399 1.0112114 1.1734402 1.1053614
[25,] 0.9307228 1.0973195 1.0526098 1.1718115 0.9986550 1.1628125 1.0989344
[26,] 0.9044504 1.0690273 1.0298448 1.1486383 0.9826826 1.1480456 1.0885043
[27,] 0.8770271 1.0387035 1.0048068 1.1222450 0.9637436 1.1295610 1.0743763
[28,] 0.8491799 1.0071338 0.9781858 1.0932918 0.9423263 1.1078326 1.0569083
[29,] 0.8216050 0.9750893 0.9506751 1.0624595 0.9189473 1.0833760 1.0365037
[30,] 0.7949537 0.9433107 0.9229572 1.0304345 0.8941405 1.0567385 1.0136031
[31,] 0.7698207 0.9124941 0.8956894 0.9978954 0.8684461 1.0284878 0.9886759
[32,] 0.7467353 0.8832790 0.8694925 0.9654997 0.8424005 0.9992009 0.9622116
[33,] 0.7261541 0.8562388 0.8449394 0.9338725 0.8165261 0.9694537 0.9347101
[34,] 0.7084565 0.8318728 0.8225468 0.9035958 0.7913224 0.9398106 0.9066736
[35,] 0.6939417 0.8106012 0.8027678 0.8752001 0.7672580 0.9108151 0.8785975
[36,] 0.6828285 0.7927617 0.7859865 0.8491572 0.7447631 0.8829810 0.8509625
[37,] 0.6752561 0.7786080 0.7725144 0.8258744 0.7242238 0.8567844 0.8242268
[38,] 0.6712870 0.7683104 0.7625882 0.8056908 0.7059771 0.8326576 0.7988193
[39,] 0.6709104 0.7619579 0.7563694 0.7888746 0.6903074 0.8109825 0.7751334
[40,] 0.6740482 0.7595616 0.7539456 0.7756223 0.6774434 0.7920869 0.7535219
[41,] 0.6805599 0.7610592 0.7553320 0.7660593 0.6675573 0.7762408 0.7342926
[42,] 0.6902502 0.7663210 0.7604754 0.7602409 0.6607639 0.7636542 0.7177048
[43,] 0.7028755 0.7751559 0.7692582 0.7581555 0.6571213 0.7544759 0.7039667
[44,] 0.7181513 0.7873187 0.7815038 0.7597281 0.6566325 0.7487934 0.6932342
[45,] 0.7357603 0.8025177 0.7969821 0.7648248 0.6592475 0.7466341 0.6856096
[46,] 0.7553594 0.8204221 0.8154165 0.7732579 0.6648664 0.7479665 0.6811424
[47,] 0.7765873 0.8406698 0.8364900 0.7847919 0.6733433 0.7527034 0.6798298
[48,] 0.7990717 0.8628753 0.8598525 0.7991494 0.6844899 0.7607049 0.6816188
[49,] 0.8224358 0.8866374 0.8851281 0.8160174 0.6980809 0.7717827 0.6864083
[50,] 0.8463048 0.9115462 0.9119219 0.8350544 0.7138581 0.7857045 0.6940523
[51,] 0.8703116 0.9371901 0.9398271 0.8558965 0.7315366 0.8021990 0.7043634
[52,] 0.8941020 0.9631623 0.9684317 0.8781643 0.7508091 0.8209613 0.7171169
[53,] 0.9173393 0.9890664 0.9973249 0.9014695 0.7713523 0.8416588 0.7320556
[54,] 0.9397080 1.0145221 1.0261033 0.9254205 0.7928317 0.8639368 0.7488937
[55,] 0.9609174 1.0391697 1.0543762 0.9496289 0.8149073 0.8874245 0.7673227
[56,] 0.9807041 1.0626739 1.0817707 0.9737147 0.8372382 0.9117410 0.7870161
[57,] 0.9988339 1.0847272 1.1079359 0.9973114 0.8594883 0.9365009 0.8076348
[58,] 1.0151032 1.1050530 1.1325473 1.0200704 0.8813302 0.9613201 0.8288321
[59,] 1.0293397 1.1234066 1.1553094 1.0416653 0.9024497 0.9858212 0.8502593
[60,] 1.0414028 1.1395777 1.1759583 1.0617950 0.9225496 1.0096385 0.8715702
[61,] 1.0511833 1.1533903 1.1942639 1.0801866 0.9413533 1.0324228 0.8924263
[62,] 1.0586025 1.1647031 1.2100309 1.0965981 0.9586073 1.0538454 0.9125010
[63,] 1.0636113 1.1734091 1.2230996 1.1108192 0.9740839 1.0736021 0.9314841
[64,] 1.0661884 1.1794351 1.2333460 1.1226732 0.9875833 1.0914163 0.9490853
[65,] 1.0663390 1.1827397 1.2406813 1.1320173 0.9989344 1.1070416 0.9650376
[66,] 1.0640926 1.1833124 1.2450510 1.1387424 1.0079965 1.1202642 0.9791006
[67,] 1.0595006 1.1811712 1.2464336 1.1427726 1.0146590 1.1309042 0.9910619
[68,] 1.0526346 1.1763604 1.2448390 1.1440647 1.0188420 1.1388167 1.0007401
[69,] 1.0435834 1.1689487 1.2403063 1.1426065 1.0204952 1.1438920 1.0079854
[70,] 1.0324511 1.1590259 1.2329013 1.1384153 1.0195975 1.1460557 1.0126805
[71,] 1.0193546 1.1467009 1.2227146 1.1315356 1.0161557 1.1452682 1.0147412
[72,] 1.0044211 1.1320990 1.2098584 1.1220376 1.0102027 1.1415230 1.0141160
[73,] 0.9877860 1.1153589 1.1944640 1.1100137 1.0017959 1.1348461 1.0107852
[74,] 0.9695908 1.0966305 1.1766789 1.0955771 0.9910149 1.1252932 1.0047603
[75,] 0.9499811 1.0760722 1.1566642 1.0788584 0.9779597 1.1129480 0.9960819
[76,] 0.9291045 1.0538484 1.1345917 1.0600030 0.9627477 1.0979198 0.9848183
[77,] 0.9071091 1.0301278 1.1106412 1.0391690 0.9455118 1.0803402 0.9710631
[78,] 0.8841421 1.0050805 1.0849984 1.0165236 0.9263978 1.0603611 0.9549328
[79,] 0.8603478 0.9788768 1.0578518 0.9922416 0.9055616 1.0381509 0.9365642
[80,] 0.8358671 0.9516850 1.0293911 0.9665022 0.8831671 1.0138921 0.9161114
[81,] 0.8108362 0.9236701 0.9998049 0.9394870 0.8593836 0.9877782 0.8937436
[82,] 0.7853855 0.8949923 0.9692789 0.9113779 0.8343838 0.9600106 0.8696413
[83,] 0.7596390 0.8658060 0.9379941 0.8823551 0.8083414 0.9307957 0.8439942
[84,] 0.7337140 0.8362587 0.9061258 0.8525951 0.7814292 0.9003426 0.8169979
[85,] 0.7077203 0.8064900 0.8738417 0.8222698 0.7538174 0.8688601 0.7888513
[86,] 0.6817599 0.7766316 0.8413017 0.7915443 0.7256720 0.8365547 0.7597541
[87,] 0.6559272 0.7468061 0.8086562 0.7605763 0.6971530 0.8036283 0.7299046
[88,] 0.6303085 0.7171270 0.7760462 0.7295151 0.6684137 0.7702763 0.6994968
[89,] 0.6049823 0.6876986 0.7436022 0.6985004 0.6395991 0.7366859 0.6687191
[90,] 0.5800190 0.6586158 0.7114446 0.6676623 0.6108457 0.7030348 0.6377523
[91,] 0.5554815 0.6299641 0.6796827 0.6371205 0.5822801 0.6694900 0.6067679
[92,] 0.5314255 0.6018199 0.6484153 0.6069841 0.5540191 0.6362067 0.5759271
[93,] 0.5078990 0.5742507 0.6177308 0.5773517 0.5261690 0.6033277 0.5453796
[94,] 0.4849437 0.5473151 0.5877069 0.5483111 0.4988257 0.5709831 0.5152629
[95,] 0.4625945 0.5210635 0.5584114 0.5199398 0.4720746 0.5392895 0.4857015
[96,] 0.4408801 0.4955385 0.5299023 0.4923048 0.4459905 0.5083504 0.4568072
[97,] 0.4198239 0.4707749 0.5022282 0.4654636 0.4206381 0.4782564 0.4286780
[98,] 0.3994435 0.4468007 0.4754290 0.4394637 0.3960720 0.4490846 0.4013991
[99,] 0.3797519 0.4236373 0.4495364 0.4143440 0.3723374 0.4208999 0.3750424
[100,] 0.3607574 0.4012998 0.4245742 0.3901348 0.3494706 0.3937551 0.3496674
[101,] 0.3424644 0.3797981 0.4005590 0.3668583 0.3274990 0.3676914 0.3253212
[,8] [,9] [,10] [,11] [,12] [,13] [,14]
[1,] 0.3585777 0.3725026 0.3933794 0.3321620 0.3584629 0.3985840 0.3460017
[2,] 0.3969400 0.4104628 0.4315324 0.3627992 0.3898797 0.4317508 0.3733174
[3,] 0.4371775 0.4502389 0.4714714 0.3948405 0.4227061 0.4663751 0.4018101
[4,] 0.4790730 0.4916420 0.5130302 0.4281701 0.4568398 0.5023648 0.4314160
[5,] 0.5223677 0.5344458 0.5560093 0.4626481 0.4921565 0.5396068 0.4620558
[6,] 0.5667625 0.5783884 0.6001758 0.4981105 0.5285093 0.5779667 0.4936346
[7,] 0.6119219 0.6231733 0.6452653 0.5343698 0.5657291 0.6172885 0.5260414
[8,] 0.6574771 0.6684732 0.6909835 0.5712160 0.6036252 0.6573950 0.5591488
[9,] 0.7030319 0.7139335 0.7370092 0.6084181 0.6419865 0.6980884 0.5928137
[10,] 0.7481684 0.7591771 0.7829980 0.6457264 0.6805825 0.7391512 0.6268776
[11,] 0.7924539 0.8038096 0.8285864 0.6828750 0.7191660 0.7803477 0.6611668
[12,] 0.8354488 0.8474260 0.8733965 0.7195849 0.7574746 0.8214256 0.6954944
[13,] 0.8767142 0.8896167 0.9170423 0.7555677 0.7952344 0.8621188 0.7296608
[14,] 0.9158207 0.9299751 0.9591347 0.7905291 0.8321626 0.9021493 0.7634556
[15,] 0.9523568 0.9681048 0.9992886 0.8241739 0.8679715 0.9412309 0.7966598
[16,] 0.9859369 1.0036270 1.0371291 0.8562100 0.9023722 0.9790719 0.8290475
[17,] 1.0162099 1.0361881 1.0722981 0.8863531 0.9350787 1.0153794 0.8603891
[18,] 1.0428659 1.0654661 1.1044612 0.9143320 0.9658127 1.0498631 0.8904534
[19,] 1.0656434 1.0911781 1.1333139 0.9398931 0.9943075 1.0822392 0.9190110
[20,] 1.0843344 1.1130855 1.1585876 0.9628052 1.0203129 1.1122348 0.9458370
[21,] 1.0987896 1.1309994 1.1800552 0.9828637 1.0435997 1.1395926 0.9707150
[22,] 1.1089215 1.1447853 1.1975359 0.9998952 1.0639636 1.1640748 0.9934399
[23,] 1.1147061 1.1543656 1.2108994 1.0137611 1.0812294 1.1854677 1.0138214
[24,] 1.1161843 1.1597223 1.2200691 1.0243607 1.0952552 1.2035854 1.0316875
[25,] 1.1134609 1.1608980 1.2250242 1.0316340 1.1059347 1.2182740 1.0468879
[26,] 1.1067028 1.1579953 1.2258016 1.0355636 1.1132009 1.2294146 1.0592969
[27,] 1.0961357 1.1511759 1.2224953 1.0361763 1.1170278 1.2369270 1.0688163
[28,] 1.0820400 1.1406580 1.2152563 1.0335433 1.1174323 1.2407713 1.0753781
[29,] 1.0647456 1.1267128 1.2042903 1.0277799 1.1144747 1.2409506 1.0789470
[30,] 1.0446254 1.1096598 1.1898553 1.0190452 1.1082593 1.2375118 1.0795218
[31,] 1.0220884 1.0898616 1.1722572 1.0075395 1.0989337 1.2305466 1.0771371
[32,] 0.9975726 1.0677180 1.1518460 0.9935023 1.0866875 1.2201910 1.0718643
[33,] 0.9715368 1.0436587 1.1290093 0.9772092 1.0717505 1.2066250 1.0638117
[34,] 0.9444527 1.0181366 1.1041675 0.9589677 1.0543897 1.1900707 1.0531244
[35,] 0.9167970 0.9916204 1.0777660 0.9391131 1.0349062 1.1707901 1.0399836
[36,] 0.8890432 0.9645865 1.0502691 0.9180036 1.0136314 1.1490825 1.0246051
[37,] 0.8616543 0.9375115 1.0221524 0.8960151 0.9909221 1.1252805 1.0072373
[38,] 0.8350752 0.9108650 0.9938954 0.8735354 0.9671559 1.0997460 0.9881590
[39,] 0.8097262 0.8851018 0.9659741 0.8509585 0.9427257 1.0728655 0.9676757
[40,] 0.7859969 0.8606555 0.9388539 0.8286789 0.9180343 1.0450449 0.9461165
[41,] 0.7642411 0.8379316 0.9129825 0.8070855 0.8934880 1.0167038 0.9238298
[42,] 0.7447714 0.8173021 0.8887832 0.7865557 0.8694914 0.9882698 0.9011789
[43,] 0.7278563 0.7990998 0.8666486 0.7674498 0.8464410 0.9601723 0.8785369
[44,] 0.7137165 0.7836143 0.8469352 0.7501057 0.8247192 0.9328362 0.8562818
[45,] 0.7025233 0.7710879 0.8299582 0.7348337 0.8046887 0.9066760 0.8347911
[46,] 0.6943968 0.7617126 0.8159868 0.7219116 0.7866872 0.8820892 0.8144359
[47,] 0.6894056 0.7556282 0.8052413 0.7115810 0.7710220 0.8594506 0.7955759
[48,] 0.6875672 0.7529209 0.7978894 0.7040432 0.7579651 0.8391067 0.7785535
[49,] 0.6888488 0.7536226 0.7940445 0.6994562 0.7477495 0.8213697 0.7636881
[50,] 0.6931692 0.7577112 0.7937645 0.6979323 0.7405647 0.8065135 0.7512714
[51,] 0.7004009 0.7651116 0.7970512 0.6995363 0.7365541 0.7947684 0.7415618
[52,] 0.7103737 0.7756980 0.8038503 0.7042840 0.7358122 0.7863175 0.7347800
[53,] 0.7228776 0.7892955 0.8140532 0.7121424 0.7383830 0.7812936 0.7311048
[54,] 0.7376671 0.8056840 0.8274986 0.7230292 0.7442586 0.7797766 0.7306691
[55,] 0.7544655 0.8246016 0.8439747 0.7368145 0.7533789 0.7817915 0.7335567
[56,] 0.7729698 0.8457490 0.8632235 0.7533218 0.7656323 0.7873073 0.7397999
[57,] 0.7928554 0.8687944 0.8849439 0.7723309 0.7808563 0.7962372 0.7493778
[58,] 0.8137817 0.8933784 0.9087969 0.7935803 0.7988397 0.8084385 0.7622144
[59,] 0.8353967 0.9191197 0.9344104 0.8167716 0.8193252 0.8237148 0.7781793
[60,] 0.8573430 0.9456210 0.9613850 0.8415730 0.8420127 0.8418175 0.7970874
[61,] 0.8792626 0.9724747 0.9892998 0.8676244 0.8665635 0.8624493 0.8187007
[62,] 0.9008020 0.9992688 1.0177190 0.8945427 0.8926048 0.8852681 0.8427305
[63,] 0.9216171 1.0255932 1.0461977 0.9219268 0.9197353 0.9098916 0.8688406
[64,] 0.9413782 1.0510452 1.0742891 0.9493643 0.9475306 0.9359026 0.8966511
[65,] 0.9597736 1.0752355 1.1015507 0.9764371 0.9755498 0.9628552 0.9257437
[66,] 0.9765141 1.0977931 1.1275508 1.0027276 1.0033421 0.9902813 0.9556674
[67,] 0.9913360 1.1183708 1.1518748 1.0278252 1.0304533 1.0176979 0.9859445
[68,] 1.0040044 1.1366492 1.1741308 1.0513325 1.0564334 1.0446143 1.0160785
[69,] 1.0143151 1.1523410 1.1939553 1.0728708 1.0808428 1.0705402 1.0455612
[70,] 1.0220973 1.1651946 1.2110181 1.0920863 1.1032600 1.0949935 1.0738815
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[73,] 1.0290790 1.1847937 1.2429214 1.1327339 1.1547439 1.1549808 1.1468856
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[99,] 0.3833684 0.4451445 0.4719429 0.4367952 0.4527625 0.4612505 0.4712897
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[101,] 0.3301218 0.3804390 0.4002181 0.3674606 0.3777708 0.3816125 0.3865575
[,15] [,16] [,17] [,18] [,19] [,20] [,21]
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[2,] 0.4132039 0.4026978 0.4323155 0.3666199 0.4063406 0.3989556 0.3960404
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[20,] 1.0271509 0.9816408 1.0320965 0.8563965 0.9278436 0.8897852 0.8621315
[21,] 1.0555229 1.0100026 1.0630050 0.8828014 0.9570969 0.9182997 0.8900586
[22,] 1.0818244 1.0366661 1.0924056 0.9081764 0.9854577 0.9461558 0.9175226
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[30,] 1.1952775 1.1664143 1.2491815 1.0541255 1.1589711 1.1256015 1.1023005
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[33,] 1.1860797 1.1681886 1.2616024 1.0732790 1.1887725 1.1623069 1.1450773
[34,] 1.1766563 1.1627112 1.2594192 1.0745712 1.1934050 1.1697070 1.1549175
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[38,] 1.1107246 1.1125951 1.2199569 1.0540181 1.1841119 1.1729476 1.1692359
[39,] 1.0882535 1.0938123 1.2029826 1.0427215 1.1749028 1.1670215 1.1662089
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[72,] 0.9471043 0.9846860 1.0530160 0.9339468 1.0312178 0.9558720 0.8103943
[73,] 0.9665491 1.0085342 1.0815541 0.9624662 1.0653374 0.9884952 0.8357367
[74,] 0.9839084 1.0304666 1.1084870 0.9899579 1.0989189 1.0213504 0.8621672
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[77,] 1.0193767 1.0797606 1.1734445 1.0600644 1.1888468 1.1136692 0.9411343
[78,] 1.0245037 1.0892072 1.1879002 1.0773223 1.2126951 1.1397261 0.9648922
[79,] 1.0258305 1.0945458 1.1979200 1.0906175 1.2322817 1.1621263 0.9861101
[80,] 1.0231740 1.0955000 1.2030992 1.0994858 1.2469637 1.1801417 1.0040541
[81,] 1.0164156 1.0918655 1.2031126 1.1035339 1.2561728 1.1931066 1.0180319
[82,] 1.0055036 1.0835143 1.1977231 1.1024503 1.2594323 1.2004367 1.0274134
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[100,] 0.3654285 0.3926726 0.4336683 0.4000394 0.4589833 0.4402089 0.3792359
[101,] 0.3285523 0.3513394 0.3860951 0.3543470 0.4044466 0.3858438 0.3305983
$q0
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.8974905 0.94444478 0.89427297 0.91801706 0.82200445 0.86222608
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[62,] 0.3218169 0.40844056 0.49020162 0.50524367 0.52225975 0.58579925
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[61,] 0.57973051
[62,] 0.59486240
[63,] 0.60483533
[64,] 0.60718268
[65,] 0.60170121
[66,] 0.58919721
[67,] 0.56974162
[68,] 0.54262865
[69,] 0.49884752
[70,] 0.45089847
[71,] 0.40896682
[72,] 0.35588963
[73,] 0.27089048
[74,] 0.14825847
[75,] -0.06782903
[76,] -0.30166789
[77,] -0.38014992
[78,] -0.42238102
[79,] -0.46796714
[80,] -0.51642282
[81,] -0.56577357
[82,] -0.60701511
[83,] -0.64243033
[84,] -0.67180337
[85,] -0.69188347
[86,] -0.70818652
[87,] -0.72920102
[88,] -0.74679389
[89,] -0.75592884
[90,] -0.76732970
[91,] -0.77625117
[92,] -0.78002942
[93,] -0.78297442
[94,] -0.78463658
[95,] -0.78484556
[96,] -0.76241091
[97,] -0.73554956
[98,] -0.72738640
[99,] -0.71596576
[100,] -0.70593644
[101,] -0.70247057
$fmean
[1] 0.3679645 0.4007400 0.4345401 0.4696884 0.5061259 0.5437690 0.5824046
[8] 0.6217686 0.6616765 0.7019210 0.7422272 0.7822015 0.8214985 0.8598277
[15] 0.8969069 0.9324332 0.9660815 0.9976543 1.0268342 1.0532614 1.0767143
[22] 1.0969649 1.1138087 1.1270507 1.1366251 1.1423607 1.1442203 1.1422012
[29] 1.1364477 1.1275194 1.1155573 1.1006605 1.0831063 1.0630472 1.0407704
[36] 1.0167503 0.9914582 0.9652953 0.9386200 0.9118695 0.8856356 0.8604329
[43] 0.8366226 0.8145892 0.7946997 0.7772685 0.7625857 0.7508511 0.7421133
[50] 0.7364850 0.7344277 0.7361446 0.7413867 0.7498508 0.7613491 0.7757189
[57] 0.7926133 0.8117307 0.8328765 0.8558744 0.8803863 0.9060000 0.9323669
[64] 0.9589891 0.9853623 1.0109867 1.0352086 1.0574983 1.0775297 1.0950161
[71] 1.1096891 1.1213701 1.1298935 1.1348064 1.1362651 1.1341064 1.1279017
[78] 1.1180797 1.1048672 1.0883181 1.0684785 1.0455153 1.0196523 0.9909457
[85] 0.9595905 0.9260615 0.8907494 0.8538968 0.8157665 0.7767187 0.7371595
[92] 0.6974290 0.6577130 0.6182356 0.5792716 0.5410062 0.5036625 0.4673798
[99] 0.4322733 0.3985116 0.3657865
$mqn
[1] 0.73522259 0.74294208 0.75809410 0.77259623 0.78592560 0.79818011
[7] 0.80669672 0.81324924 0.81785615 0.82011808 0.81911495 0.81334267
[13] 0.80521659 0.79326223 0.77891465 0.75993610 0.73763626 0.71296557
[19] 0.68142687 0.64541924 0.60431498 0.55661789 0.50163406 0.43561526
[25] 0.35970545 0.24859062 0.01383817 -0.25979815 -0.35254483 -0.41632030
[31] -0.47477860 -0.52071590 -0.56035383 -0.59551528 -0.62283328 -0.64245563
[37] -0.65598915 -0.66466088 -0.66888146 -0.66654381 -0.65588441 -0.64023721
[43] -0.61949508 -0.59217578 -0.55884837 -0.51839127 -0.46978270 -0.41286504
[49] -0.34756554 -0.25847346 -0.04205041 0.24289266 0.34020650 0.40791672
[55] 0.46570636 0.51196640 0.54866993 0.57983244 0.60716856 0.63082774
[61] 0.64739446 0.65929616 0.66650241 0.66571889 0.66024543 0.64670222
[67] 0.62383562 0.59482678 0.56026378 0.51863853 0.46916048 0.41140938
[73] 0.33889963 0.22116165 -0.01706574 -0.26769836 -0.36764505 -0.43844998
[79] -0.49817461 -0.55087020 -0.59821513 -0.63841788 -0.67418461 -0.70877444
[85] -0.73675671 -0.75817084 -0.77604669 -0.79131014 -0.80301820 -0.81040376
[91] -0.81356429 -0.81391814 -0.81326628 -0.80901900 -0.80267633 -0.79449601
[97] -0.78330442 -0.77191828 -0.75786583 -0.74231295 -0.73471569
$warping_functions
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000 0.000000000
[2,] 0.005969779 0.006633088 0.006633088 0.00710688 0.007462224 0.007462224
[3,] 0.011945398 0.013272665 0.013272665 0.01422071 0.014931748 0.014931748
[4,] 0.017947261 0.019941402 0.019941402 0.02136579 0.022434077 0.022434077
[5,] 0.023980726 0.026645251 0.026645251 0.02854848 0.029975907 0.029975907
[6,] 0.030013875 0.033347208 0.033347208 0.03572915 0.037515609 0.038016650
[7,] 0.036706567 0.040039900 0.040042750 0.04289989 0.045044887 0.046047880
[8,] 0.043408441 0.046741774 0.047223329 0.05008450 0.052584496 0.054090129
[9,] 0.050104053 0.053437387 0.054397200 0.05761706 0.060117060 0.062124864
[10,] 0.056782712 0.060116046 0.061552906 0.06513055 0.067630551 0.070139255
[11,] 0.063438612 0.066771946 0.068684228 0.07261844 0.075118439 0.078126335
[12,] 0.070074503 0.073407836 0.075794110 0.08008382 0.082583816 0.086089403
[13,] 0.076709132 0.080045498 0.082902641 0.08754777 0.090050958 0.094050958
[14,] 0.083340069 0.087150074 0.090007578 0.09500758 0.098008083 0.102008083
[15,] 0.089946412 0.094228298 0.097439713 0.10243971 0.105935694 0.109935694
[16,] 0.096999541 0.101285256 0.104849518 0.10984952 0.113839486 0.118166132
[17,] 0.104092894 0.108378608 0.112297539 0.11729754 0.121784041 0.126441710
[18,] 0.111263918 0.115549632 0.119827114 0.12482711 0.129815588 0.134807904
[19,] 0.118501743 0.122787457 0.127426830 0.13242683 0.137921952 0.143252033
[20,] 0.125773077 0.130061731 0.135061731 0.14006585 0.146065846 0.151735257
[21,] 0.133045092 0.137697347 0.142697347 0.14821050 0.154210503 0.160219274
[22,] 0.140309358 0.145309358 0.150329982 0.15632998 0.162329982 0.168677064
[23,] 0.147912047 0.152912047 0.158439517 0.16443952 0.170439517 0.177124497
[24,] 0.155559831 0.160497627 0.166597153 0.17259715 0.178597153 0.185622034
[25,] 0.163262590 0.167344524 0.174813429 0.18101679 0.186813429 0.194180655
[26,] 0.170895888 0.174527851 0.183433421 0.19089589 0.195433421 0.203159814
[27,] 0.176604849 0.183209697 0.193209697 0.19660485 0.204567758 0.213209697
[28,] 0.183650395 0.193650395 0.202920316 0.20365040 0.213650395 0.223650395
[29,] 0.192931198 0.202442665 0.210344958 0.21293120 0.222931198 0.232931198
[30,] 0.201499183 0.209894982 0.217499183 0.22187398 0.231873979 0.241873979
[31,] 0.208799710 0.217499697 0.224799710 0.23099964 0.240999637 0.250999637
[32,] 0.216301087 0.225313632 0.232301087 0.24037636 0.250322593 0.260322593
[33,] 0.223985110 0.233317823 0.239985110 0.24998139 0.258555475 0.268555475
[34,] 0.231808875 0.241467578 0.247808875 0.25836665 0.266938080 0.276938080
[35,] 0.239722220 0.249710646 0.255722220 0.26684524 0.275416665 0.285416665
[36,] 0.247725909 0.258047822 0.263725909 0.27542062 0.283992046 0.293992046
[37,] 0.255822515 0.266481786 0.271822515 0.28409555 0.292666980 0.302666980
[38,] 0.264008593 0.275008952 0.280009207 0.29286635 0.301437779 0.311437779
[39,] 0.272182271 0.283523199 0.288766718 0.30162386 0.310227838 0.320227838
[40,] 0.280206204 0.291867143 0.297349061 0.31024057 0.320240571 0.330240571
[41,] 0.288621217 0.300049788 0.305764074 0.32005809 0.330058087 0.340058087
[42,] 0.296979732 0.308408304 0.314122589 0.32980969 0.339809688 0.349809688
[43,] 0.305350996 0.316779568 0.322493853 0.33957616 0.349576162 0.359576162
[44,] 0.313752995 0.325181566 0.330895852 0.34937849 0.359378494 0.369378494
[45,] 0.322203502 0.333632074 0.339346359 0.35923742 0.369237419 0.379237419
[46,] 0.330751193 0.342179764 0.347674771 0.36920972 0.379209725 0.389209725
[47,] 0.339386678 0.350815250 0.356070381 0.37928446 0.389284458 0.399284458
[48,] 0.349353444 0.359445809 0.364461203 0.38935344 0.399353444 0.409353444
[49,] 0.359371534 0.369371534 0.372809612 0.39937153 0.409371534 0.419371534
[50,] 0.369799542 0.379799542 0.381499618 0.40979954 0.419799542 0.429799542
[51,] 0.375662705 0.391325410 0.391325410 0.42132541 0.425662705 0.441325410
[52,] 0.382477145 0.402477145 0.402477145 0.43247714 0.432477145 0.452477145
[53,] 0.392563291 0.412563291 0.412563291 0.44256329 0.442990507 0.462563291
[54,] 0.402264494 0.422264494 0.422264494 0.45226449 0.454308577 0.472264494
[55,] 0.411903647 0.431903647 0.431903647 0.46190365 0.465554255 0.481903647
[56,] 0.421679314 0.441439412 0.441679314 0.47143941 0.476679314 0.491439412
[57,] 0.432699824 0.450885563 0.452699824 0.48088556 0.487699824 0.500885563
[58,] 0.443725391 0.460336049 0.463725391 0.49033605 0.498725391 0.510336049
[59,] 0.454892596 0.469907939 0.474892596 0.49990794 0.509892596 0.519907939
[60,] 0.466235032 0.479630027 0.486235032 0.50963003 0.519630027 0.529630027
[61,] 0.477724669 0.489478288 0.497724669 0.51947829 0.529478288 0.539478288
[62,] 0.489442047 0.499521755 0.509442047 0.52952175 0.539521755 0.549521755
[63,] 0.499758760 0.509758760 0.519758760 0.53975876 0.549758760 0.559758760
[64,] 0.510086065 0.520086065 0.530100409 0.55008606 0.560086065 0.570086065
[65,] 0.520464621 0.530464621 0.542208725 0.56046462 0.570464621 0.580464621
[66,] 0.530861776 0.541005406 0.554338739 0.57086178 0.580861776 0.590861776
[67,] 0.541404904 0.553071571 0.566404904 0.58120420 0.591204204 0.601404904
[68,] 0.553331251 0.564997918 0.578331251 0.59166458 0.601664585 0.613331251
[69,] 0.565143763 0.576810429 0.590143763 0.60347710 0.613477096 0.625143763
[70,] 0.576916412 0.588583079 0.601971167 0.61524975 0.625249745 0.636916412
[71,] 0.588638113 0.600304779 0.614027773 0.62697145 0.636971446 0.648638113
[72,] 0.600306531 0.611691312 0.626029575 0.63863986 0.648639864 0.660306531
[73,] 0.611748992 0.621748992 0.638098790 0.65037382 0.660373824 0.671748992
[74,] 0.622188579 0.632188579 0.650626295 0.66218858 0.672188579 0.682188579
[75,] 0.633092777 0.643092777 0.663092777 0.67309278 0.683092777 0.693092777
[76,] 0.645293596 0.655293596 0.673529064 0.68352906 0.693529064 0.703529064
[77,] 0.659735282 0.669735282 0.683946068 0.69394607 0.703946068 0.713946068
[78,] 0.673255450 0.683255450 0.695551984 0.70555198 0.715551984 0.725551984
[79,] 0.685669515 0.695669515 0.707190170 0.71719017 0.727190170 0.737190170
[80,] 0.698195102 0.708195102 0.718932908 0.72893291 0.738932908 0.748932908
[81,] 0.710815957 0.720815957 0.730764960 0.74076496 0.750734361 0.760713962
[82,] 0.723579104 0.733579104 0.742730410 0.75273041 0.762221194 0.771881716
[83,] 0.736536779 0.746536779 0.754878230 0.76487823 0.773883101 0.783219682
[84,] 0.749755140 0.759755140 0.767270444 0.77727044 0.785779626 0.794785748
[85,] 0.763125280 0.773125280 0.779804950 0.78980495 0.797812752 0.806484620
[86,] 0.776476155 0.786476155 0.793142822 0.80232140 0.809828539 0.818166636
[87,] 0.789777951 0.799777951 0.806444618 0.81479183 0.822291829 0.829805707
[88,] 0.803705074 0.813052451 0.819719118 0.82723667 0.834736673 0.841747206
[89,] 0.817595190 0.826281133 0.832947800 0.83963856 0.847138562 0.853653020
[90,] 0.831448704 0.839474956 0.846141623 0.85280829 0.859507771 0.865527461
[91,] 0.845313378 0.853313378 0.859346074 0.86601274 0.871886945 0.877411467
[92,] 0.859182735 0.867182735 0.873182735 0.87922165 0.884270299 0.889299487
[93,] 0.873973560 0.881041989 0.887041989 0.89242094 0.896644633 0.901178848
[94,] 0.888874637 0.894949661 0.900949661 0.90566634 0.909062197 0.913099710
[95,] 0.903885658 0.908959947 0.914959947 0.91900947 0.921571382 0.925108526
[96,] 0.918979528 0.923979528 0.929047560 0.93242625 0.934149607 0.937183623
[97,] 0.934141009 0.939141009 0.943198275 0.94590312 0.946784175 0.949312808
[98,] 0.949347635 0.954347635 0.957391126 0.95942012 0.959456363 0.961956363
[99,] 0.966180924 0.969562832 0.971591976 0.97294474 0.972944739 0.974635693
[100,] 0.983090412 0.984781370 0.985795946 0.98647233 0.986472329 0.987317809
[101,] 1.000000000 1.000000000 1.000000000 1.00000000 1.000000000 1.000000000
[,7] [,8] [,9] [,10] [,11] [,12]
[1,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[2,] 0.007959706 0.008528256 0.008528256 0.008528256 0.009949632 0.009949632
[3,] 0.015927198 0.017064855 0.017064855 0.017064855 0.019908997 0.019908997
[4,] 0.023929682 0.025638945 0.025638945 0.025638945 0.029912102 0.029912102
[5,] 0.031974301 0.034258180 0.034258180 0.034258180 0.039967876 0.039967876
[6,] 0.040017344 0.042874982 0.042874982 0.042874982 0.050020812 0.050020812
[7,] 0.048383208 0.051479871 0.051479871 0.051479871 0.060059850 0.060059850
[8,] 0.056760551 0.060096566 0.060096566 0.060112661 0.070112661 0.070112661
[9,] 0.065130067 0.068705211 0.068705211 0.070156080 0.080156080 0.080156080
[10,] 0.073478391 0.077292059 0.077292059 0.080174069 0.090174069 0.090174069
[11,] 0.081798265 0.085849644 0.085849644 0.090157919 0.100157919 0.100157919
[12,] 0.090095789 0.094381504 0.094381504 0.100111754 0.110111754 0.110111754
[13,] 0.098626026 0.102911741 0.102911741 0.110063697 0.120063697 0.120063697
[14,] 0.107151517 0.111437232 0.111437232 0.120010103 0.130010103 0.130010103
[15,] 0.115645386 0.119931101 0.119931101 0.129919618 0.139919618 0.139919618
[16,] 0.124113735 0.128399450 0.129799358 0.139799358 0.149799358 0.149799358
[17,] 0.132625758 0.136911473 0.139730051 0.149730051 0.159730051 0.159730051
[18,] 0.141230987 0.145516701 0.149769485 0.159769485 0.169769485 0.169769485
[19,] 0.149916377 0.154202092 0.159902440 0.169902440 0.179902440 0.179902440
[20,] 0.158641978 0.162927693 0.170082308 0.180082308 0.190082308 0.190082308
[21,] 0.167368396 0.171654111 0.180263129 0.190263129 0.200263129 0.200263129
[22,] 0.176067837 0.180412477 0.190412477 0.200412477 0.210412477 0.210412477
[23,] 0.184756625 0.190549396 0.200549396 0.210549396 0.220549396 0.220549396
[24,] 0.193496949 0.200746441 0.210746441 0.220746441 0.230746441 0.230746441
[25,] 0.202300102 0.211016786 0.221016786 0.231016786 0.241016786 0.241016786
[26,] 0.211791776 0.220895888 0.230895888 0.240895888 0.250895888 0.251791776
[27,] 0.223209697 0.226604849 0.236604849 0.246604849 0.256604849 0.263209697
[28,] 0.233650395 0.235475593 0.243650395 0.253650395 0.263650395 0.274380475
[29,] 0.242931198 0.249396797 0.252931198 0.262931198 0.272931198 0.285517437
[30,] 0.251873979 0.261873979 0.261873979 0.271873979 0.281873979 0.296248775
[31,] 0.260999637 0.270999637 0.270999637 0.280999637 0.290999637 0.307199564
[32,] 0.270376358 0.280376358 0.280376358 0.290376358 0.300376358 0.318451630
[33,] 0.279981388 0.289981388 0.289981388 0.299981388 0.309981388 0.329977666
[34,] 0.289761094 0.299761094 0.299761094 0.309761094 0.319761094 0.339761094
[35,] 0.299652776 0.309652776 0.309652776 0.319652776 0.329652776 0.349652776
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[38,] 0.330010742 0.340010742 0.340010742 0.350010742 0.360010742 0.380010742
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[98,] 0.97971006 0.98173905 0.98173905
[99,] 0.98647237 0.98782513 0.98782513
[100,] 0.99323616 0.99391255 0.99391255
[101,] 1.00000000 1.00000000 1.00000000
$original_variance
[1] 0.08301909
$amplitude_variance
[1] 0.02002066
$phase_variance
[1] 0.06285961
$qun
[1] 0.08575189 0.05505551
$inverse_average_warping_function
[1] 0.000000000 0.009949632 0.019908997 0.029912102 0.039967876 0.050020812
[7] 0.060059850 0.070112661 0.080156080 0.090174069 0.100157919 0.110111754
[13] 0.120063697 0.130010103 0.139919618 0.149799358 0.159730051 0.169769485
[19] 0.179902440 0.190082308 0.200263129 0.210412477 0.220549396 0.230746441
[25] 0.241016786 0.251791776 0.263209697 0.273650395 0.282931198 0.291873979
[31] 0.300999637 0.310376358 0.319981388 0.329761094 0.339652776 0.349657387
[37] 0.359778143 0.370010742 0.380227838 0.390240571 0.400058087 0.409809688
[43] 0.419576162 0.429378494 0.439237419 0.449209725 0.459284458 0.469353444
[49] 0.479371534 0.489799542 0.501325410 0.512477145 0.522563291 0.532264494
[55] 0.541903647 0.551439412 0.560885563 0.570336049 0.579907939 0.589630027
[61] 0.599478288 0.609521755 0.619758760 0.630086065 0.640464621 0.650861776
[67] 0.661204204 0.671426787 0.681551796 0.691642639 0.701689811 0.711691312
[73] 0.721748992 0.732188579 0.743092777 0.753529064 0.763156854 0.772441587
[79] 0.781752136 0.791146327 0.800611968 0.810184328 0.819902584 0.829816355
[85] 0.839843960 0.849857116 0.859833463 0.869789339 0.879710850 0.889606217
[91] 0.899509556 0.909416239 0.919315707 0.929249758 0.939257105 0.949319685
[97] 0.959427340 0.969565090 0.979708554 0.989854247 1.000000000
$rsamps
[1] FALSE
$call
$call$lambda
[1] 0
$call$penalty_method
[1] "roughness"
$call$centroid_type
[1] "mean"
$call$center_warpings
[1] TRUE
$call$smooth_data
[1] FALSE
$call$sparam
[1] 25
$call$parallel
[1] FALSE
$call$optim_method
[1] "DP"
$call$max_iter
[1] 1
attr(,"class")
[1] "fdawarp"
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