1 files changed, 1025 insertions, 0 deletions
diff --git a/examples/takagi-sugeno/octave/cubic_approximator.fld b/examples/takagi-sugeno/octave/cubic_approximator.fld
new file mode 100644
index 0000000..4f6ddeb
--- /dev/null
+++ b/examples/takagi-sugeno/octave/cubic_approximator.fld
@@ -0,0 +1,1025 @@
+X ApproxXCubed
+-5.000000000 -125.000000000
+-4.990224829 -124.142364903
+-4.980449658 -123.289889721
+-4.970674487 -122.442574453
+-4.960899316 -121.600419100
+-4.951124145 -120.763423661
+-4.941348974 -119.931588136
+-4.931573803 -119.104912525
+-4.921798631 -118.283396829
+-4.912023460 -117.467041047
+-4.902248289 -116.655845180
+-4.892473118 -115.849809227
+-4.882697947 -115.048933188
+-4.872922776 -114.253217063
+-4.863147605 -113.462660853
+-4.853372434 -112.677264557
+-4.843597263 -111.897028176
+-4.833822092 -111.121951709
+-4.824046921 -110.352035156
+-4.814271750 -109.587278518
+-4.804496579 -108.827681794
+-4.794721408 -108.073244984
+-4.784946237 -107.323968089
+-4.775171065 -106.579851108
+-4.765395894 -105.840894041
+-4.755620723 -105.107096889
+-4.745845552 -104.378459651
+-4.736070381 -103.654982327
+-4.726295210 -102.936664918
+-4.716520039 -102.223507423
+-4.706744868 -101.515509843
+-4.696969697 -100.812672176
+-4.687194526 -100.114994424
+-4.677419355 -99.422476587
+-4.667644184 -98.735118664
+-4.657869013 -98.052920655
+-4.648093842 -97.375882560
+-4.638318671 -96.704004380
+-4.628543500 -96.037286114
+-4.618768328 -95.375727763
+-4.608993157 -94.719329326
+-4.599217986 -94.068090803
+-4.589442815 -93.422012195
+-4.579667644 -92.781093501
+-4.569892473 -92.145334721
+-4.560117302 -91.514735855
+-4.550342131 -90.889296904
+-4.540566960 -90.269017868
+-4.530791789 -89.653898745
+-4.521016618 -89.043939537
+-4.511241447 -88.439140244
+-4.501466276 -87.839500864
+-4.491691105 -87.245021399
+-4.481915934 -86.655701849
+-4.472140762 -86.071542212
+-4.462365591 -85.492542490
+-4.452590420 -84.918702683
+-4.442815249 -84.350022790
+-4.433040078 -83.786502811
+-4.423264907 -83.228142746
+-4.413489736 -82.674942596
+-4.403714565 -82.126902360
+-4.393939394 -81.584022039
+-4.384164223 -81.046301631
+-4.374389052 -80.513741139
+-4.364613881 -79.986340560
+-4.354838710 -79.464099896
+-4.345063539 -78.947019146
+-4.335288368 -78.435098311
+-4.325513196 -77.928337390
+-4.315738025 -77.426736383
+-4.305962854 -76.930295290
+-4.296187683 -76.439014112
+-4.286412512 -75.952892849
+-4.276637341 -75.471931499
+-4.266862170 -74.996130064
+-4.257086999 -74.525488544
+-4.247311828 -74.060006937
+-4.237536657 -73.599685245
+-4.227761486 -73.144523468
+-4.217986315 -72.694521604
+-4.208211144 -72.249679655
+-4.198435973 -71.809997621
+-4.188660802 -71.375475500
+-4.178885630 -70.946113295
+-4.169110459 -70.521911003
+-4.159335288 -70.102868626
+-4.149560117 -69.688986163
+-4.139784946 -69.280263614
+-4.130009775 -68.876700980
+-4.120234604 -68.478298260
+-4.110459433 -68.085055455
+-4.100684262 -67.696972564
+-4.090909091 -67.314049587
+-4.081133920 -66.936286524
+-4.071358749 -66.563683376
+-4.061583578 -66.196240142
+-4.051808407 -65.833956823
+-4.042033236 -65.476833418
+-4.032258065 -65.124869927
+-4.022482893 -64.778066351
+-4.012707722 -64.436422689
+-4.002932551 -64.099938941
+-3.993157380 -63.604111305
+-3.983382209 -63.041967303
+-3.973607038 -62.483836568
+-3.963831867 -61.929719100
+-3.954056696 -61.379614898
+-3.944281525 -60.833523964
+-3.934506354 -60.291446295
+-3.924731183 -59.753381894
+-3.914956012 -59.219330759
+-3.905180841 -58.689292891
+-3.895405670 -58.163268290
+-3.885630499 -57.641256955
+-3.875855327 -57.123258887
+-3.866080156 -56.609274086
+-3.856304985 -56.099302552
+-3.846529814 -55.593344284
+-3.836754643 -55.091399283
+-3.826979472 -54.593467548
+-3.817204301 -54.099549081
+-3.807429130 -53.609643880
+-3.797653959 -53.123751946
+-3.787878788 -52.641873278
+-3.778103617 -52.164007877
+-3.768328446 -51.690155743
+-3.758553275 -51.220316876
+-3.748778104 -50.754491275
+-3.739002933 -50.292678942
+-3.729227761 -49.834879874
+-3.719452590 -49.381094074
+-3.709677419 -48.931321540
+-3.699902248 -48.485562273
+-3.690127077 -48.043816273
+-3.680351906 -47.606083539
+-3.670576735 -47.172364072
+-3.660801564 -46.742657872
+-3.651026393 -46.316964938
+-3.641251222 -45.895285272
+-3.631476051 -45.477618872
+-3.621700880 -45.063965738
+-3.611925709 -44.654325872
+-3.602150538 -44.248699272
+-3.592375367 -43.847085938
+-3.582600196 -43.449485872
+-3.572825024 -43.055899072
+-3.563049853 -42.666325539
+-3.553274682 -42.280765273
+-3.543499511 -41.899218273
+-3.533724340 -41.521684540
+-3.523949169 -41.148164074
+-3.514173998 -40.778656874
+-3.504398827 -40.413162941
+-3.494623656 -40.051682275
+-3.484848485 -39.694214876
+-3.475073314 -39.340760743
+-3.465298143 -38.991319877
+-3.455522972 -38.645892278
+-3.445747801 -38.304477946
+-3.435972630 -37.967076880
+-3.426197458 -37.633689081
+-3.416422287 -37.304314548
+-3.406647116 -36.978953283
+-3.396871945 -36.657605284
+-3.387096774 -36.340270552
+-3.377321603 -36.026949086
+-3.367546432 -35.717640887
+-3.357771261 -35.412345955
+-3.347996090 -35.111064290
+-3.338220919 -34.813795891
+-3.328445748 -34.520540759
+-3.318670577 -34.231298894
+-3.308895406 -33.946070295
+-3.299120235 -33.664854963
+-3.289345064 -33.387652898
+-3.279569892 -33.114464100
+-3.269794721 -32.845288568
+-3.260019550 -32.580126303
+-3.250244379 -32.318977305
+-3.240469208 -32.061841573
+-3.230694037 -31.808719109
+-3.220918866 -31.559609910
+-3.211143695 -31.314513979
+-3.201368524 -31.073431314
+-3.191593353 -30.836361916
+-3.181818182 -30.603305785
+-3.172043011 -30.374262921
+-3.162267840 -30.149233323
+-3.152492669 -29.928216992
+-3.142717498 -29.711213927
+-3.132942326 -29.498224129
+-3.123167155 -29.289247598
+-3.113391984 -29.084284334
+-3.103616813 -28.883334337
+-3.093841642 -28.686397606
+-3.084066471 -28.493474142
+-3.074291300 -28.304563944
+-3.064516129 -28.119667014
+-3.054740958 -27.938783350
+-3.044965787 -27.761912952
+-3.035190616 -27.589055822
+-3.025415445 -27.420211958
+-3.015640274 -27.255381361
+-3.005865103 -27.094564030
+-2.996089932 -26.867287003
+-2.986314761 -26.537511144
+-2.976539589 -26.210601904
+-2.966764418 -25.886559283
+-2.956989247 -25.565383281
+-2.947214076 -25.247073899
+-2.937438905 -24.931631135
+-2.927663734 -24.619054990
+-2.917888563 -24.309345465
+-2.908113392 -24.002502558
+-2.898338221 -23.698526271
+-2.888563050 -23.397416603
+-2.878787879 -23.099173554
+-2.869012708 -22.803797124
+-2.859237537 -22.511287313
+-2.849462366 -22.221644121
+-2.839687195 -21.934867548
+-2.829912023 -21.650957594
+-2.820136852 -21.369914259
+-2.810361681 -21.091737544
+-2.800586510 -20.816427447
+-2.790811339 -20.543983970
+-2.781036168 -20.274407112
+-2.771260997 -20.007696872
+-2.761485826 -19.743853252
+-2.751710655 -19.482876251
+-2.741935484 -19.224765869
+-2.732160313 -18.969522106
+-2.722385142 -18.717144962
+-2.712609971 -18.467634437
+-2.702834800 -18.220990532
+-2.693059629 -17.977213245
+-2.683284457 -17.736302577
+-2.673509286 -17.498258529
+-2.663734115 -17.263081100
+-2.653958944 -17.030770289
+-2.644183773 -16.801326098
+-2.634408602 -16.574748526
+-2.624633431 -16.351037573
+-2.614858260 -16.130193239
+-2.605083089 -15.912215524
+-2.595307918 -15.697104428
+-2.585532747 -15.484859951
+-2.575757576 -15.275482094
+-2.565982405 -15.068970855
+-2.556207234 -14.865326236
+-2.546432063 -14.664548235
+-2.536656891 -14.466636854
+-2.526881720 -14.271592092
+-2.517106549 -14.079413948
+-2.507331378 -13.890102424
+-2.497556207 -13.703657519
+-2.487781036 -13.520079233
+-2.478005865 -13.339367566
+-2.468230694 -13.161522519
+-2.458455523 -12.986544090
+-2.448680352 -12.814432280
+-2.438905181 -12.645187090
+-2.429130010 -12.478808518
+-2.419354839 -12.315296566
+-2.409579668 -12.154651233
+-2.399804497 -11.996872519
+-2.390029326 -11.841960423
+-2.380254154 -11.689914947
+-2.370478983 -11.540736090
+-2.360703812 -11.394423853
+-2.350928641 -11.250978234
+-2.341153470 -11.110399234
+-2.331378299 -10.972686853
+-2.321603128 -10.837841092
+-2.311827957 -10.705861949
+-2.302052786 -10.576749426
+-2.292277615 -10.450503522
+-2.282502444 -10.327124236
+-2.272727273 -10.206611570
+-2.262952102 -10.088965523
+-2.253176931 -9.974186095
+-2.243401760 -9.862273286
+-2.233626588 -9.753227096
+-2.223851417 -9.647047526
+-2.214076246 -9.543734574
+-2.204301075 -9.443288241
+-2.194525904 -9.345708528
+-2.184750733 -9.250995433
+-2.174975562 -9.159148958
+-2.165200391 -9.070169102
+-2.155425220 -8.984055865
+-2.145650049 -8.900809247
+-2.135874878 -8.820429248
+-2.126099707 -8.742915868
+-2.116324536 -8.668269107
+-2.106549365 -8.596488965
+-2.096774194 -8.527575442
+-2.086999022 -8.461528539
+-2.077223851 -8.398348254
+-2.067448680 -8.338034589
+-2.057673509 -8.280587542
+-2.047898338 -8.226007115
+-2.038123167 -8.174293307
+-2.028347996 -8.125446118
+-2.018572825 -8.079465548
+-2.008797654 -8.036351597
+-1.999022483 -7.984368326
+-1.989247312 -7.828997572
+-1.979472141 -7.675346789
+-1.969696970 -7.523415978
+-1.959921799 -7.373205138
+-1.950146628 -7.224714270
+-1.940371457 -7.077943373
+-1.930596285 -6.932892447
+-1.920821114 -6.789561493
+-1.911045943 -6.647950511
+-1.901270772 -6.508059500
+-1.891495601 -6.369888460
+-1.881720430 -6.233437392
+-1.871945259 -6.098706295
+-1.862170088 -5.965695169
+-1.852394917 -5.834404016
+-1.842619746 -5.704832833
+-1.832844575 -5.576981622
+-1.823069404 -5.450850383
+-1.813294233 -5.326439114
+-1.803519062 -5.203747818
+-1.793743891 -5.082776493
+-1.783968719 -4.963525139
+-1.774193548 -4.845993757
+-1.764418377 -4.730182346
+-1.754643206 -4.616090906
+-1.744868035 -4.503719438
+-1.735092864 -4.393067942
+-1.725317693 -4.284136417
+-1.715542522 -4.176924863
+-1.705767351 -4.071433281
+-1.695992180 -3.967661670
+-1.686217009 -3.865610031
+-1.676441838 -3.765278363
+-1.666666667 -3.666666667
+-1.656891496 -3.569774942
+-1.647116325 -3.474603188
+-1.637341153 -3.381151406
+-1.627565982 -3.289419596
+-1.617790811 -3.199407756
+-1.608015640 -3.111115889
+-1.598240469 -3.024543993
+-1.588465298 -2.939692068
+-1.578690127 -2.856560114
+-1.568914956 -2.775148133
+-1.559139785 -2.695456122
+-1.549364614 -2.617484083
+-1.539589443 -2.541232016
+-1.529814272 -2.466699919
+-1.520039101 -2.393887795
+-1.510263930 -2.322795642
+-1.500488759 -2.253423460
+-1.490713587 -2.185771250
+-1.480938416 -2.119839011
+-1.471163245 -2.055626743
+-1.461388074 -1.993134447
+-1.451612903 -1.932362123
+-1.441837732 -1.873309770
+-1.432062561 -1.815977388
+-1.422287390 -1.760364978
+-1.412512219 -1.706472539
+-1.402737048 -1.654300072
+-1.392961877 -1.603847576
+-1.383186706 -1.555115052
+-1.373411535 -1.508102499
+-1.363636364 -1.462809917
+-1.353861193 -1.419237307
+-1.344086022 -1.377384669
+-1.334310850 -1.337252002
+-1.324535679 -1.298839306
+-1.314760508 -1.262146582
+-1.304985337 -1.227173829
+-1.295210166 -1.193921048
+-1.285434995 -1.162388238
+-1.275659824 -1.132575399
+-1.265884653 -1.104482532
+-1.256109482 -1.078109637
+-1.246334311 -1.053456713
+-1.236559140 -1.030523760
+-1.226783969 -1.009310779
+-1.217008798 -0.989817769
+-1.207233627 -0.972044731
+-1.197458456 -0.955991664
+-1.187683284 -0.941658568
+-1.177908113 -0.929045445
+-1.168132942 -0.918152292
+-1.158357771 -0.908979111
+-1.148582600 -0.901525901
+-1.138807429 -0.895792663
+-1.129032258 -0.891779396
+-1.119257087 -0.889486101
+-1.109481916 -0.888912777
+-1.099706745 -0.890059425
+-1.089931574 -0.892926044
+-1.080156403 -0.897512635
+-1.070381232 -0.903819197
+-1.060606061 -0.911845730
+-1.050830890 -0.921592235
+-1.041055718 -0.933058711
+-1.031280547 -0.946245159
+-1.021505376 -0.961151578
+-1.011730205 -0.977777969
+-1.001955034 -0.996124331
+-0.992179863 -0.968902916
+-0.982404692 -0.930547553
+-0.972629521 -0.892765513
+-0.962854350 -0.855556798
+-0.953079179 -0.818921406
+-0.943304008 -0.782859338
+-0.933528837 -0.747370594
+-0.923753666 -0.712455173
+-0.913978495 -0.678113077
+-0.904203324 -0.644344304
+-0.894428152 -0.611148855
+-0.884652981 -0.578526730
+-0.874877810 -0.546477928
+-0.865102639 -0.515002451
+-0.855327468 -0.484100297
+-0.845552297 -0.453771467
+-0.835777126 -0.424015961
+-0.826001955 -0.394833779
+-0.816226784 -0.366224921
+-0.806451613 -0.338189386
+-0.796676442 -0.310727175
+-0.786901271 -0.283838288
+-0.777126100 -0.257522725
+-0.767350929 -0.231780486
+-0.757575758 -0.206611570
+-0.747800587 -0.182015979
+-0.738025415 -0.157993711
+-0.728250244 -0.134544767
+-0.718475073 -0.111669146
+-0.708699902 -0.089366850
+-0.698924731 -0.067637877
+-0.689149560 -0.046482228
+-0.679374389 -0.025899903
+-0.669599218 -0.005890902
+-0.659824047 0.013544775
+-0.650048876 0.032407129
+-0.640273705 0.050696158
+-0.630498534 0.068411864
+-0.620723363 0.085554246
+-0.610948192 0.102123305
+-0.601173021 0.118119039
+-0.591397849 0.133541450
+-0.581622678 0.148390537
+-0.571847507 0.162666300
+-0.562072336 0.176368739
+-0.552297165 0.189497854
+-0.542521994 0.202053646
+-0.532746823 0.214036114
+-0.522971652 0.225445258
+-0.513196481 0.236281078
+-0.503421310 0.246543574
+-0.493646139 0.256232747
+-0.483870968 0.265348595
+-0.474095797 0.273891120
+-0.464320626 0.281860321
+-0.454545455 0.289256198
+-0.444770283 0.296078752
+-0.434995112 0.302327981
+-0.425219941 0.308003887
+-0.415444770 0.313106469
+-0.405669599 0.317635727
+-0.395894428 0.321591662
+-0.386119257 0.324974272
+-0.376344086 0.327783559
+-0.366568915 0.330019522
+-0.356793744 0.331682161
+-0.347018573 0.332771476
+-0.337243402 0.333287467
+-0.327468231 0.333230135
+-0.317693060 0.332599479
+-0.307917889 0.331395499
+-0.298142717 0.329618195
+-0.288367546 0.327267567
+-0.278592375 0.324343616
+-0.268817204 0.320846341
+-0.259042033 0.316775742
+-0.249266862 0.312131819
+-0.239491691 0.306914572
+-0.229716520 0.301124001
+-0.219941349 0.294760107
+-0.210166178 0.287822889
+-0.200391007 0.280312347
+-0.190615836 0.272228481
+-0.180840665 0.263571291
+-0.171065494 0.254340778
+-0.161290323 0.244536941
+-0.151515152 0.234159780
+-0.141739980 0.223209295
+-0.131964809 0.211685486
+-0.122189638 0.199588353
+-0.112414467 0.186917897
+-0.102639296 0.173674117
+-0.092864125 0.159857013
+-0.083088954 0.145466585
+-0.073313783 0.130502834
+-0.063538612 0.114965758
+-0.053763441 0.098855359
+-0.043988270 0.082171636
+-0.034213099 0.064914589
+-0.024437928 0.047084218
+-0.014662757 0.028680524
+-0.004887586 0.009703506
+0.004887586 -0.009703506
+0.014662757 -0.028680524
+0.024437928 -0.047084218
+0.034213099 -0.064914589
+0.043988270 -0.082171636
+0.053763441 -0.098855359
+0.063538612 -0.114965758
+0.073313783 -0.130502834
+0.083088954 -0.145466585
+0.092864125 -0.159857013
+0.102639296 -0.173674117
+0.112414467 -0.186917897
+0.122189638 -0.199588353
+0.131964809 -0.211685486
+0.141739980 -0.223209295
+0.151515152 -0.234159780
+0.161290323 -0.244536941
+0.171065494 -0.254340778
+0.180840665 -0.263571291
+0.190615836 -0.272228481
+0.200391007 -0.280312347
+0.210166178 -0.287822889
+0.219941349 -0.294760107
+0.229716520 -0.301124001
+0.239491691 -0.306914572
+0.249266862 -0.312131819
+0.259042033 -0.316775742
+0.268817204 -0.320846341
+0.278592375 -0.324343616
+0.288367546 -0.327267567
+0.298142717 -0.329618195
+0.307917889 -0.331395499
+0.317693060 -0.332599479
+0.327468231 -0.333230135
+0.337243402 -0.333287467
+0.347018573 -0.332771476
+0.356793744 -0.331682161
+0.366568915 -0.330019522
+0.376344086 -0.327783559
+0.386119257 -0.324974272
+0.395894428 -0.321591662
+0.405669599 -0.317635727
+0.415444770 -0.313106469
+0.425219941 -0.308003887
+0.434995112 -0.302327981
+0.444770283 -0.296078752
+0.454545455 -0.289256198
+0.464320626 -0.281860321
+0.474095797 -0.273891120
+0.483870968 -0.265348595
+0.493646139 -0.256232747
+0.503421310 -0.246543574
+0.513196481 -0.236281078
+0.522971652 -0.225445258
+0.532746823 -0.214036114
+0.542521994 -0.202053646
+0.552297165 -0.189497854
+0.562072336 -0.176368739
+0.571847507 -0.162666300
+0.581622678 -0.148390537
+0.591397849 -0.133541450
+0.601173021 -0.118119039
+0.610948192 -0.102123305
+0.620723363 -0.085554246
+0.630498534 -0.068411864
+0.640273705 -0.050696158
+0.650048876 -0.032407129
+0.659824047 -0.013544775
+0.669599218 0.005890902
+0.679374389 0.025899903
+0.689149560 0.046482228
+0.698924731 0.067637877
+0.708699902 0.089366850
+0.718475073 0.111669146
+0.728250244 0.134544767
+0.738025415 0.157993711
+0.747800587 0.182015979
+0.757575758 0.206611570
+0.767350929 0.231780486
+0.777126100 0.257522725
+0.786901271 0.283838288
+0.796676442 0.310727175
+0.806451613 0.338189386
+0.816226784 0.366224921
+0.826001955 0.394833779
+0.835777126 0.424015961
+0.845552297 0.453771467
+0.855327468 0.484100297
+0.865102639 0.515002451
+0.874877810 0.546477928
+0.884652981 0.578526730
+0.894428152 0.611148855
+0.904203324 0.644344304
+0.913978495 0.678113077
+0.923753666 0.712455173
+0.933528837 0.747370594
+0.943304008 0.782859338
+0.953079179 0.818921406
+0.962854350 0.855556798
+0.972629521 0.892765513
+0.982404692 0.930547553
+0.992179863 0.968902916
+1.001955034 0.996124331
+1.011730205 0.977777969
+1.021505376 0.961151578
+1.031280547 0.946245159
+1.041055718 0.933058711
+1.050830890 0.921592235
+1.060606061 0.911845730
+1.070381232 0.903819197
+1.080156403 0.897512635
+1.089931574 0.892926044
+1.099706745 0.890059425
+1.109481916 0.888912777
+1.119257087 0.889486101
+1.129032258 0.891779396
+1.138807429 0.895792663
+1.148582600 0.901525901
+1.158357771 0.908979111
+1.168132942 0.918152292
+1.177908113 0.929045445
+1.187683284 0.941658568
+1.197458456 0.955991664
+1.207233627 0.972044731
+1.217008798 0.989817769
+1.226783969 1.009310779
+1.236559140 1.030523760
+1.246334311 1.053456713
+1.256109482 1.078109637
+1.265884653 1.104482532
+1.275659824 1.132575399
+1.285434995 1.162388238
+1.295210166 1.193921048
+1.304985337 1.227173829
+1.314760508 1.262146582
+1.324535679 1.298839306
+1.334310850 1.337252002
+1.344086022 1.377384669
+1.353861193 1.419237307
+1.363636364 1.462809917
+1.373411535 1.508102499
+1.383186706 1.555115052
+1.392961877 1.603847576
+1.402737048 1.654300072
+1.412512219 1.706472539
+1.422287390 1.760364978
+1.432062561 1.815977388
+1.441837732 1.873309770
+1.451612903 1.932362123
+1.461388074 1.993134447
+1.471163245 2.055626743
+1.480938416 2.119839011
+1.490713587 2.185771250
+1.500488759 2.253423460
+1.510263930 2.322795642
+1.520039101 2.393887795
+1.529814272 2.466699919
+1.539589443 2.541232016
+1.549364614 2.617484083
+1.559139785 2.695456122
+1.568914956 2.775148133
+1.578690127 2.856560114
+1.588465298 2.939692068
+1.598240469 3.024543993
+1.608015640 3.111115889
+1.617790811 3.199407756
+1.627565982 3.289419596
+1.637341153 3.381151406
+1.647116325 3.474603188
+1.656891496 3.569774942
+1.666666667 3.666666667
+1.676441838 3.765278363
+1.686217009 3.865610031
+1.695992180 3.967661670
+1.705767351 4.071433281
+1.715542522 4.176924863
+1.725317693 4.284136417
+1.735092864 4.393067942
+1.744868035 4.503719438
+1.754643206 4.616090906
+1.764418377 4.730182346
+1.774193548 4.845993757
+1.783968719 4.963525139
+1.793743891 5.082776493
+1.803519062 5.203747818
+1.813294233 5.326439114
+1.823069404 5.450850383
+1.832844575 5.576981622
+1.842619746 5.704832833
+1.852394917 5.834404016
+1.862170088 5.965695169
+1.871945259 6.098706295
+1.881720430 6.233437392
+1.891495601 6.369888460
+1.901270772 6.508059500
+1.911045943 6.647950511
+1.920821114 6.789561493
+1.930596285 6.932892447
+1.940371457 7.077943373
+1.950146628 7.224714270
+1.959921799 7.373205138
+1.969696970 7.523415978
+1.979472141 7.675346789
+1.989247312 7.828997572
+1.999022483 7.984368326
+2.008797654 8.036351597
+2.018572825 8.079465548
+2.028347996 8.125446118
+2.038123167 8.174293307
+2.047898338 8.226007115
+2.057673509 8.280587542
+2.067448680 8.338034589
+2.077223851 8.398348254
+2.086999022 8.461528539
+2.096774194 8.527575442
+2.106549365 8.596488965
+2.116324536 8.668269107
+2.126099707 8.742915868
+2.135874878 8.820429248
+2.145650049 8.900809247
+2.155425220 8.984055865
+2.165200391 9.070169102
+2.174975562 9.159148958
+2.184750733 9.250995433
+2.194525904 9.345708528
+2.204301075 9.443288241
+2.214076246 9.543734574
+2.223851417 9.647047526
+2.233626588 9.753227096
+2.243401760 9.862273286
+2.253176931 9.974186095
+2.262952102 10.088965523
+2.272727273 10.206611570
+2.282502444 10.327124236
+2.292277615 10.450503522
+2.302052786 10.576749426
+2.311827957 10.705861949
+2.321603128 10.837841092
+2.331378299 10.972686853
+2.341153470 11.110399234
+2.350928641 11.250978234
+2.360703812 11.394423853
+2.370478983 11.540736090
+2.380254154 11.689914947
+2.390029326 11.841960423
+2.399804497 11.996872519
+2.409579668 12.154651233
+2.419354839 12.315296566
+2.429130010 12.478808518
+2.438905181 12.645187090
+2.448680352 12.814432280
+2.458455523 12.986544090
+2.468230694 13.161522519
+2.478005865 13.339367566
+2.487781036 13.520079233
+2.497556207 13.703657519
+2.507331378 13.890102424
+2.517106549 14.079413948
+2.526881720 14.271592092
+2.536656891 14.466636854
+2.546432063 14.664548235
+2.556207234 14.865326236
+2.565982405 15.068970855
+2.575757576 15.275482094
+2.585532747 15.484859951
+2.595307918 15.697104428
+2.605083089 15.912215524
+2.614858260 16.130193239
+2.624633431 16.351037573
+2.634408602 16.574748526
+2.644183773 16.801326098
+2.653958944 17.030770289
+2.663734115 17.263081100
+2.673509286 17.498258529
+2.683284457 17.736302577
+2.693059629 17.977213245
+2.702834800 18.220990532
+2.712609971 18.467634437
+2.722385142 18.717144962
+2.732160313 18.969522106
+2.741935484 19.224765869
+2.751710655 19.482876251
+2.761485826 19.743853252
+2.771260997 20.007696872
+2.781036168 20.274407112
+2.790811339 20.543983970
+2.800586510 20.816427447
+2.810361681 21.091737544
+2.820136852 21.369914259
+2.829912023 21.650957594
+2.839687195 21.934867548
+2.849462366 22.221644121
+2.859237537 22.511287313
+2.869012708 22.803797124
+2.878787879 23.099173554
+2.888563050 23.397416603
+2.898338221 23.698526271
+2.908113392 24.002502558
+2.917888563 24.309345465
+2.927663734 24.619054990
+2.937438905 24.931631135
+2.947214076 25.247073899
+2.956989247 25.565383281
+2.966764418 25.886559283
+2.976539589 26.210601904
+2.986314761 26.537511144
+2.996089932 26.867287003
+3.005865103 27.094564030
+3.015640274 27.255381361
+3.025415445 27.420211958
+3.035190616 27.589055822
+3.044965787 27.761912952
+3.054740958 27.938783350
+3.064516129 28.119667014
+3.074291300 28.304563944
+3.084066471 28.493474142
+3.093841642 28.686397606
+3.103616813 28.883334337
+3.113391984 29.084284334
+3.123167155 29.289247598
+3.132942326 29.498224129
+3.142717498 29.711213927
+3.152492669 29.928216992
+3.162267840 30.149233323
+3.172043011 30.374262921
+3.181818182 30.603305785
+3.191593353 30.836361916
+3.201368524 31.073431314
+3.211143695 31.314513979
+3.220918866 31.559609910
+3.230694037 31.808719109
+3.240469208 32.061841573
+3.250244379 32.318977305
+3.260019550 32.580126303
+3.269794721 32.845288568
+3.279569892 33.114464100
+3.289345064 33.387652898
+3.299120235 33.664854963
+3.308895406 33.946070295
+3.318670577 34.231298894
+3.328445748 34.520540759
+3.338220919 34.813795891
+3.347996090 35.111064290
+3.357771261 35.412345955
+3.367546432 35.717640887
+3.377321603 36.026949086
+3.387096774 36.340270552
+3.396871945 36.657605284
+3.406647116 36.978953283
+3.416422287 37.304314548
+3.426197458 37.633689081
+3.435972630 37.967076880
+3.445747801 38.304477946
+3.455522972 38.645892278
+3.465298143 38.991319877
+3.475073314 39.340760743
+3.484848485 39.694214876
+3.494623656 40.051682275
+3.504398827 40.413162941
+3.514173998 40.778656874
+3.523949169 41.148164074
+3.533724340 41.521684540
+3.543499511 41.899218273
+3.553274682 42.280765273
+3.563049853 42.666325539
+3.572825024 43.055899072
+3.582600196 43.449485872
+3.592375367 43.847085938
+3.602150538 44.248699272
+3.611925709 44.654325872
+3.621700880 45.063965738
+3.631476051 45.477618872
+3.641251222 45.895285272
+3.651026393 46.316964938
+3.660801564 46.742657872
+3.670576735 47.172364072
+3.680351906 47.606083539
+3.690127077 48.043816273
+3.699902248 48.485562273
+3.709677419 48.931321540
+3.719452590 49.381094074
+3.729227761 49.834879874
+3.739002933 50.292678942
+3.748778104 50.754491275
+3.758553275 51.220316876
+3.768328446 51.690155743
+3.778103617 52.164007877
+3.787878788 52.641873278
+3.797653959 53.123751946
+3.807429130 53.609643880
+3.817204301 54.099549081
+3.826979472 54.593467548
+3.836754643 55.091399283
+3.846529814 55.593344284
+3.856304985 56.099302552
+3.866080156 56.609274086
+3.875855327 57.123258887
+3.885630499 57.641256955
+3.895405670 58.163268290
+3.905180841 58.689292891
+3.914956012 59.219330759
+3.924731183 59.753381894
+3.934506354 60.291446295
+3.944281525 60.833523964
+3.954056696 61.379614898
+3.963831867 61.929719100
+3.973607038 62.483836568
+3.983382209 63.041967303
+3.993157380 63.604111305
+4.002932551 64.099938941
+4.012707722 64.436422689
+4.022482893 64.778066351
+4.032258065 65.124869927
+4.042033236 65.476833418
+4.051808407 65.833956823
+4.061583578 66.196240142
+4.071358749 66.563683376
+4.081133920 66.936286524
+4.090909091 67.314049587
+4.100684262 67.696972564
+4.110459433 68.085055455
+4.120234604 68.478298260
+4.130009775 68.876700980
+4.139784946 69.280263614
+4.149560117 69.688986163
+4.159335288 70.102868626
+4.169110459 70.521911003
+4.178885630 70.946113295
+4.188660802 71.375475500
+4.198435973 71.809997621
+4.208211144 72.249679655
+4.217986315 72.694521604
+4.227761486 73.144523468
+4.237536657 73.599685245
+4.247311828 74.060006937
+4.257086999 74.525488544
+4.266862170 74.996130064
+4.276637341 75.471931499
+4.286412512 75.952892849
+4.296187683 76.439014112
+4.305962854 76.930295290
+4.315738025 77.426736383
+4.325513196 77.928337390
+4.335288368 78.435098311
+4.345063539 78.947019146
+4.354838710 79.464099896
+4.364613881 79.986340560
+4.374389052 80.513741139
+4.384164223 81.046301631
+4.393939394 81.584022039
+4.403714565 82.126902360
+4.413489736 82.674942596
+4.423264907 83.228142746
+4.433040078 83.786502811
+4.442815249 84.350022790
+4.452590420 84.918702683
+4.462365591 85.492542490
+4.472140762 86.071542212
+4.481915934 86.655701849
+4.491691105 87.245021399
+4.501466276 87.839500864
+4.511241447 88.439140244
+4.521016618 89.043939537
+4.530791789 89.653898745
+4.540566960 90.269017868
+4.550342131 90.889296904
+4.560117302 91.514735855
+4.569892473 92.145334721
+4.579667644 92.781093501
+4.589442815 93.422012195
+4.599217986 94.068090803
+4.608993157 94.719329326
+4.618768328 95.375727763
+4.628543500 96.037286114
+4.638318671 96.704004380
+4.648093842 97.375882560
+4.657869013 98.052920655
+4.667644184 98.735118664
+4.677419355 99.422476587
+4.687194526 100.114994424
+4.696969697 100.812672176
+4.706744868 101.515509843
+4.716520039 102.223507423
+4.726295210 102.936664918
+4.736070381 103.654982327
+4.745845552 104.378459651
+4.755620723 105.107096889
+4.765395894 105.840894041
+4.775171065 106.579851108
+4.784946237 107.323968089
+4.794721408 108.073244984
+4.804496579 108.827681794
+4.814271750 109.587278518
+4.824046921 110.352035156
+4.833822092 111.121951709
+4.843597263 111.897028176
+4.853372434 112.677264557
+4.863147605 113.462660853
+4.872922776 114.253217063
+4.882697947 115.048933188
+4.892473118 115.849809227
+4.902248289 116.655845180
+4.912023460 117.467041047
+4.921798631 118.283396829
+4.931573803 119.104912525
+4.941348974 119.931588136
+4.951124145 120.763423661
+4.960899316 121.600419100
+4.970674487 122.442574453
+4.980449658 123.289889721
+4.990224829 124.142364903
+5.000000000 125.000000000