///|
/// 200 cases (every 50th line) of GeographicLib's GeodTest-short.dat
/// (C. Karney, CC0, https://doi.org/10.5281/zenodo.32156).
/// Columns: lat1 lon1 azi1 lat2 lon2 azi2 s12.
let cases : Array[FixedArray[Double]] = [
[
36.530042355041, 0.0, 176.125875162171, -48.16427077909777, 5.762344694676511,
175.33430831628542, 9398502.0434687,
],
[
31.298927598424, 0.0, 155.772349379607, -69.27763466680739, 93.87641121072019,
98.52503973845283, 13370814.5013951,
],
[
25.548568274778, 0.0, 55.857212031046, 36.70341520737647, 24.20006886288496,
68.56504100216962, 2607761.2745743,
],
[
12.688989342131, 0.0, 164.497086431321, -51.63706712041687, 163.4679144532722,
24.79341243437442, 15437194.7624604,
],
[
24.13019492814, 0.0, 155.611888321669, -24.87352140610902, 21.24661500706862,
155.45860112752422, 5886013.6473135,
],
[
51.758231662523, 0.0, 150.305722711255, -59.67239576582219, 57.34783105810986,
142.62809981769226, 13381909.6625754,
],
[
25.411466108394, 0.0, 63.101008248562, 33.48576652904335, 75.79957475091403,
105.10743889910952, 7248415.0597517,
],
[
1.648973756639, 0.0, 165.080108072597, -74.76239440190434, 77.38371361656556,
102.5335705117169, 9811770.6313543,
],
[
44.501236929536, 0.0, 105.978046145312, -43.36882541853465, 130.23659501774844,
109.3875778320515, 16084900.347075,
],
[
8.722703243865, 0.0, 21.789883036379, 65.55247413043534, 116.57438585050103,
117.85128743826533, 10300679.5609856,
],
[
81.240456838189, 0.0, 43.278528055306, 74.17697955688737, 115.31220157176723,
157.48333146455266, 2353079.7130036,
],
[
52.857429758878, 0.0, 34.880663897765, -14.806119671748203, 156.3854323881583,
159.03255221839336, 15301384.7553364,
],
[
30.651413955264, 0.0, 52.683577444663, -18.857621905745706, 164.57323929447196,
133.66675746238838, 17988864.3855265,
],
[
12.459563594348, 0.0, 69.880615122238, -4.957450205246865, 160.55662388912285,
113.01145035146237, 17739126.9659149,
],
[
7.611041877489, 0.0, 133.503403491142, -31.090236032401975, 149.13325090456397,
57.017657601571436, 15893137.1318238,
],
[
60.787713639189, 0.0, 96.607147173837, -17.502208372399686, 92.32783663427948,
149.3704223063455, 11813455.6307858,
],
[
51.44532779004, 0.0, 70.850556424971, -20.523270077417965, 129.53361603515842,
140.97145768312683, 14476977.5035435,
],
[
23.247342409911, 0.0, 26.335520739639, 56.335899365105234, 126.91125917391216,
132.77698740725558, 9881092.2207418,
],
[
12.118080214951, 0.0, 135.393771288151, -37.85529821236029, 58.52109656776427,
119.70315458114013, 8226881.1400643,
],
[
72.070745920278, 0.0, 174.952482278726, 49.6261207643976, 2.9745174298206476,
177.6010382953117, 2505264.1438444,
],
[
53.884742776083, 0.0, 77.623070632639, 17.414936596574556, 92.3062513355145,
142.806350264416, 8610494.2475792,
],
[
19.053110262602, 0.0, 47.44172536587, 42.22355089586291, 41.771043232683716,
69.90126477896507, 4688987.1312211,
],
[
67.944516299119, 0.0, 96.645049289938, -15.68801450817866, 89.18422151004067,
157.14271381067658, 11574801.8681989,
],
[
13.995403562995, 0.0, 116.433912334798, -24.266525441508865, 77.7344246037068,
107.68797249450441, 9442440.1776511,
],
[
44.634608965391, 0.0, 37.284351473144, 56.24148404479992, 17.419214813779664,
50.82444946394281, 1778488.1512325,
],
[
56.382866699692, 0.0, 148.757361360654, -26.464220219026263, 35.26867855363044,
161.25852445568714, 9764898.0367772,
],
[
18.840178178156, 0.0, 90.647439950653, -14.579773263825116, 137.17335977374105,
102.04464529369399, 15452921.3181445,
],
[
37.578610978395, 0.0, 80.12039765534, 25.905388499621335, 68.45850689123257,
119.71409601050432, 6474215.5989572,
],
[
37.674038497417, 0.0, 48.250140974755, 49.17627800006671, 23.367354440429047,
64.51238082987669, 2268353.0888708,
],
[
33.519725109589, 0.0, 109.677882359596, -38.23058202309273, 142.63853851324322,
92.45956335430792, 16633727.7191375,
],
[
18.358660935254, 0.0, 78.106338643501, 5.356517758984946, 109.94575890570935,
111.07921331478698, 11915350.6750211,
],
[
70.820110666011, 0.0, 21.077911326222, -52.53855052102426, 168.87002146118647,
168.7885765717992, 17891815.2276218,
],
[
30.631462858022, 0.0, 131.719043563614, 12.55490881339711, 18.897186528853375,
138.8170092182279, 2790042.4074097,
],
[
74.488538783411, 0.0, 93.195507073326, 30.39589609407224, 77.2776622741438, 161.92477325444452,
6395858.8762547,
],
[
8.858087427105, 0.0, 145.571470491575, -37.69924665114566, 37.153002160580705,
135.1540402772234, 6441354.8706969,
],
[
40.26163414539, 0.0, 144.605640909749, -39.13829530220378, 48.08596879895211,
145.25773456246668, 10059313.5250431,
],
[
69.958586953063, 0.0, 20.984382147501, -40.43249876177753, 166.17617135953947,
170.70702636935434, 16620727.2158047,
],
[
27.669468287799, 0.0, 157.989021141112, -37.65334362953209, 26.239488644880407,
155.2271079692796, 7732516.6833878,
],
[
1.566904460204, 0.0, 82.974750674936, 6.60346972748657, 53.39192644506916, 87.08424486586237,
5951530.0684822,
],
[
42.91730346453, 0.0, 53.075261026397, 53.54219334713478, 60.2491174618157, 100.06322366447803,
4484080.9950392,
],
[
8.226828747671, 0.0, 111.1269645725, -8.516119211674269, 178.68897958262923,
68.98279854495524, 19886305.6710041,
],
[
39.812573105343, 0.0, 160.359722070325, -39.88724414446168, 179.8094981592825,
19.662445371370442, 19992884.2509067,
],
[
42.43571463433, 0.0, 104.793423902611, -42.556031558976706, 178.9439203712876,
75.62875873272785, 19933694.6317208,
],
[
41.422881400728, 0.0, 160.175400861858, -41.75399719456667, 179.68696069264521,
19.930445426253563, 19962649.0941257,
],
[
1.954763014668, 0.0, 36.08400548636, -1.356560679713699, 179.21183071627885,
143.92850883076545, 19910455.6046604,
],
[
15.307964811453, 0.0, 168.815763224517, -16.393998187505275, 179.66471064135973,
11.24499845815506, 19880239.5312094,
],
[
15.052569093184, 0.0, 162.285075532237, -15.724184000395148, 179.60124720008378,
17.77370665732244, 19923004.0634151,
],
[
26.561319983444, 0.0, 91.322327828406, -26.563254073099436, 179.36537301352163,
88.7200147458102, 19967593.7090228,
],
[
6.88173731643, 0.0, 149.34292133022, -7.152265098074216, 179.53410556542138,
30.676693443327792, 19960544.649178,
],
[
21.696293878318, 0.0, 150.505942167937, -21.739077661195417, 179.69807683323666,
29.50364298076232, 19991456.7801541,
],
[
21.825596511879, 0.0, 104.713051412817, -21.839549437269582, 179.40100701429313,
75.3081295718558, 19970733.5221378,
],
[
36.943012344196, 0.0, 111.111830893433, -37.110302510156835, 179.0046294450333,
69.21637837306493, 19933286.6631688,
],
[
37.094681922969, 0.0, 61.683255609854, -36.87659002381509, 179.07450839997858,
118.6183820220012, 19936555.4618959,
],
[
20.510995572038, 0.0, 106.625407450008, -20.614035003108988, 179.0903407874154,
73.50381297342015, 19936827.5928438,
],
[
0.073706780938, 0.0, 55.393632418613, 0.44457473847048795, 178.7572959694517,
124.6039527926914, 19880266.3990723,
],
[
2.811695236791, 0.0, 104.488404489852, -2.94246955309589, 178.9126173173243,
75.53688314704756, 19914658.6098722,
],
[
26.399604861443, 0.0, 66.715264074127, -26.16718137882514, 178.90794061679253,
113.54835470164994, 19916366.811182,
],
[
5.233572508812, 0.0, 33.99793689587, -5.077676422112588, 179.55928145516836,
146.01148528710561, 19972727.3518217,
],
[
63.56592697096, 0.0, 40.428095622473, -63.49326825739287, 179.68705982216733,
139.6957772189402, 19990488.8558516,
],
[
49.236680774381, 0.0, 59.074618453546, -49.160683018430646, 179.46849303459598,
121.07149350296018, 19976946.0163068,
],
[
19.707097385334, 0.0, 20.996796804557, 19.707739582810255, 0.000260256428101053,
20.996884567489086, 76.1478894,
],
[
82.786287471918, 0.0, 149.552536516624, 82.7805582560024, 0.026791440301593437,
149.57911572583072, 742.0646704,
],
[
68.151529304092, 0.0, 40.944947160955, 68.15643268174978, 0.011423947551584882,
40.95555072344334, 724.1192125,
],
[
75.745038288552, 0.0, 24.893798755408, 75.74632345866007, 0.002421249470403149,
24.896145460300183, 158.1532812,
],
[
50.052034055497, 0.0, 108.882473277847, 50.04907265058191, 0.013442635322648087,
108.89277855388657, 1017.5590486,
],
[
19.792302249495, 0.0, 38.154504295274, 19.795700216446576, 0.002820422951029277,
38.155459401638204, 478.3676233,
],
[
89.54645598847, 0.0, 16.220214435894, 89.54967267714622, 0.11909599789522356,
16.339306728969518, 374.2918026,
],
[
60.382577130999, 0.0, 48.051352430945, 60.38831200175466, 0.01289348574035593,
48.06256163319486, 955.9853234,
],
[
1.158225349646, 0.0, 161.607433100928, 1.1525175036948139, 0.001885606197499621,
161.6074711216671, 665.1197845,
],
[
36.708143497239, 0.0, 69.86743038348, 36.70841716496835, 0.000927177895875152,
69.86798459573433, 88.2349876,
],
[
36.539490003454, 0.0, 77.519415005192, 36.54055002629345, 0.005935824203626787,
77.52294910066635, 544.3837714,
],
[
78.920653505017, 0.0, 24.655209256444, 78.92660201175703, 0.014213051669152158,
24.66915754702689, 730.8279132,
],
[
73.450372808758, 0.0, 140.098803696734, 73.44669938906789, 0.010774300902910356,
140.10913155631354, 534.355272,
],
[
79.640467200539, 0.0, 99.432608599717, 79.63925397060463, 0.04051199436291519,
99.47246011978632, 824.854073,
],
[
45.231101818279, 0.0, 85.794028754814, 45.231752728520675, 0.012539636542512164,
85.80293135918097, 987.375928,
],
[
76.475988875528, 0.0, 74.178699030445, 76.47796229809936, 0.02979948432677527,
74.20767235484536, 808.7442296,
],
[
8.236747374575, 0.0, 29.106916916182, 8.244440944416306, 0.004299762330280436,
29.107533201789376, 973.8764242,
],
[
9.633714706957, 0.0, 59.669109879542, 9.634558182199788, 0.001452763657411197,
59.669353008499236, 184.7416353,
],
[
69.153176354215, 0.0, 87.639764191224, 69.15354696520707, 0.02537289920201262,
87.66347608692558, 1008.9465739,
],
[
89.941179365049, 0.0, 11.711385202613, 89.94318267466763, 0.4190992318731979,
12.130484221158037, 228.6881093,
],
[
89.997817345644, 0.0, 2.624783190362, 39.575446357285394, 177.37513389772602,
179.99987006158307, 5619818.6599569,
],
[
89.993408865184, 0.0, 57.477694589222, 13.81068831370128, 122.52091457243215,
179.99425886243154, 8474961.0214815,
],
[
89.990893734543, 0.0, 106.363057904446, -30.320337739661877, 73.64199015757139,
179.98985267745275, 13357303.7131263,
],
[
89.994893274178, 0.0, 72.878839174529, -58.08295171135035, 107.1289540319295,
179.9907601730235, 16442655.3847316,
],
[
89.999750575769, 0.0, 80.636254011369, 6.499478106262027, 99.36371674557586,
179.99975148471935, 9283264.3002412,
],
[
89.992998234529, 0.0, 102.18293881897, -27.14965552053041, 77.82052385887064,
179.99228795554535, 13006013.541991,
],
[
89.996322702105, 0.0, 20.094822925942, -20.165367403528464, 159.9056329339922,
179.99865007899822, 12233024.7646243,
],
[
89.993192102742, 0.0, 21.011031040877, 47.24131413037506, 158.98632315305443,
179.9963990268232, 4768600.8944213,
],
[
89.993904261776, 0.0, 23.76632772227, 41.461171840633405, 156.2314949166803,
179.99671569532129, 5410798.5589814,
],
[
89.998624856024, 0.0, 113.291204132571, 4.052567714372, 66.70870000436764, 179.99872951589745,
9553787.7602231,
],
[
89.994117468461, 0.0, 74.207345586457, 47.4437655724694, 105.78647516281782,
179.99161749557928, 4745561.793025,
],
[
89.991779838464, 0.0, 76.252250653764, -49.14832424327144, 103.75691781046514,
179.9877753685492, 15448306.9407271,
],
[
89.998324588741, 0.0, 160.733182151072, 4.741082341827159, 19.266769225664852,
179.99944341681422, 9477535.3313922,
],
[
89.992615434494, 0.0, 43.425231471671, 30.609694143349216, 136.57174784219183,
179.99408723058605, 6614862.1237191,
],
[
89.99048932494, 0.0, 128.950712589255, -44.950091113627025, 51.05661195478403,
179.9895314869671, 14980695.9138871,
],
[
89.992126787229, 0.0, 126.14313281573, -62.340215376992276, 53.868940979299964,
179.98629401769148, 16916294.4934283,
],
[
89.992044473517, 0.0, 134.031252711125, 5.4422359946408045, 45.968173708897446,
179.9942352339149, 9399558.6701581,
],
[
89.998448197183, 0.0, 134.662969435898, 52.04049677025494, 45.33561332649252,
179.99820334199333, 4233994.3560906,
],
[
89.996473717417, 0.0, 15.478525768769, -71.69407537823525, 164.52430992418576,
179.99700278484354, 17960338.2307955,
],
[
89.997031241098, 0.0, 88.061630084156, -39.30568671037899, 91.94077642580454,
179.99615775724965, 14354417.7864738,
],
[
89.99833069486, 0.0, 141.970826400559, -89.99660978510279, 55.68763971258267,
162.34152298647257, 20003423.7670087,
],
[
89.998665393548, 0.0, 106.053798600321, -89.99050713167132, 81.71103838323572,
172.23514936354516, 20002839.6612155,
],
[
89.994197925038, 0.0, 148.585674112129, -89.99661540950042, 148.0962495346273,
63.31804432819133, 20003548.1469933,
],
[
89.992426338722, 0.0, 49.497258693826, -89.98941948485181, 163.4785369185607,
147.02414337712662, 20003489.4830805,
],
[
89.993883753317, 0.0, 29.278300311896, -89.99361237587377, 178.64403734674914,
152.07763074739685, 20003896.9371337,
],
[
89.996088724026, 0.0, 12.547856479447, -89.9905858404049, 172.63083498949754,
174.8212995167686, 20003310.677273,
],
[
89.992975230607, 0.0, 171.043876990422, -89.99357786183602, 179.1516436273589,
9.804467828239943, 20003863.2379494,
],
[
89.99428601957, 0.0, 26.763941920728, -89.99157827496667, 171.02612336457344,
162.20990747799445, 20003605.6272528,
],
[
89.992041970393, 0.0, 147.143751453076, -89.99568066726313, 124.52768143349664,
88.3285212747046, 20003198.8543399,
],
[
89.994091107586, 0.0, 155.544433395194, -89.99740830571433, 95.16649163327031,
109.28904900714146, 20003235.0592607,
],
[
89.994228888209, 0.0, 58.520253557699, -89.99093105079608, 154.3475387394165,
147.1321555328179, 20003417.2667336,
],
[
89.998930582886, 0.0, 77.848342855633, -89.99514261256093, 114.58066847228099,
167.57097759113012, 20003426.7766986,
],
[
89.995169747907, 0.0, 4.268368980053, -89.99303590588879, 178.6907188957812,
177.04090832116034, 20003692.6620635,
],
[
89.995165930003, 0.0, 91.255840286561, -89.99312477231472, 133.40789294334897,
135.3362155251562, 20003373.4451697,
],
[
89.990358570273, 0.0, 58.115823555414, -89.98365367744763, 151.938931789239,
149.94515755892078, 20002919.972821,
],
[
89.994369418102, 0.0, 12.441727031399, -89.99029609207452, 174.73961688029505,
172.81864323468903, 20003470.2257273,
],
[
89.995550087451, 0.0, 88.866349645715, -89.99268033852053, 128.56569271457786,
142.56791043676503, 20003292.086862,
],
[
89.991971535549, 0.0, 83.022408871935, -89.99069877315117, 155.9332347526858,
121.0442719590772, 20003504.6375248,
],
[
89.999171864523, 0.0, 164.081993439106, -89.99600440650974, 19.176683775030103,
176.74132037799248, 20003396.9455604,
],
[
89.990496542448, 0.0, 36.491668712641, -89.98748565573271, 170.35611533209797,
153.15215610029222, 20003537.7181128,
],
[
6.169086571167, 0.0, 179.998607283442, -81.44365772329188, 0.009314581453032444,
179.9907235671047, 9728514.005172,
],
[
64.929881471958, 0.0, 179.995092034019, -13.819370099885221, 0.004944552319828849,
179.99785287379063, 8731882.4953522,
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