19 static const double tack[] = {
20 -0.0019836426, 0.0097045898, 0.019165039, 0.028594971, 0.036102295,
21 0.040679932, 0.040649414, 0.036560059, 0.029693604, 0.016967773,
22 0.0057067871, -0.008026123, -0.021453857, -0.026153564,
23 -0.031921387, -0.036834717, -0.04397583, -0.046844482,
24 -0.045349121, -0.041748047, -0.032623291, -0.026611328,
25 -0.026702881, -0.025482178, -0.013092041, 0.0055847168,
26 0.023040771, 0.027435303, 0.043426514, 0.07925415, 0.1086731,
27 0.09463501, 0.039154053, -0.027832031, -0.081542969, -0.099090576,
28 -0.089385986, -0.051055908, -0.0023803711, 0.031951904,
29 0.044128418, 0.029998779, 0.0086669922, 0.0022888184, 0.0082092285,
30 0.0085144043, -0.0057983398, -0.027496338, -0.036834717,
31 -0.021759033, -0.020721436, -0.024078369, -0.025360107,
32 -0.090698242, -0.16491699, -0.16052246, -0.090454102, 0.0031433105,
33 0.013031006, 0.034790039, 0.30599976, 0.58151245, 0.5078125,
34 0.32858276, 0.21975708, -0.050018311, -0.34790039, -0.46588135,
35 -0.26513672, 0.12893677, 0.19259644, 0.11685181, 0.095825195,
36 -0.039154053, -0.041473389, 0.0069274902, -0.14685059, -0.32232666,
37 -0.21795654, 0.051086426, 0.18112183, 0.30905151, 0.47305298,
38 0.60980225, 0.59518433, 0.46920776, 0.51705933, 0.47116089,
39 0.31832886, 0.20901489, 0.059539795, -0.10055542, -0.23834229,
40 -0.26708984, -0.27468872, -0.29516602, -0.22879028, -0.12854004,
41 -0.064300537, -0.0068664551, 0.060211182, 0.10339355, 0.12594604,
42 0.12954712, 0.063568115, -0.041046143, -0.1184082, -0.19332886,
43 -0.27337646, -0.34906006, -0.40966797, -0.46533203, -0.45361328,
44 -0.39672852, -0.32958984, -0.15246582, 0.086853027, 0.23678589,
45 0.24838257, 0.13034058, -0.15222168, -0.5199585, -0.80224609,
46 -0.9397583, -0.89654541, -0.71923828, -0.47998047, -0.14666748,
47 0.26187134, 0.54995728, 0.69186401, 0.84616089, 0.79928589,
48 0.53170776, 0.39968872, 0.32455444, 0.2137146, 0.19454956,
49 0.24069214, 0.22750854, 0.14596558, 0.047058105, -0.04876709,
50 -0.13095093, -0.19775391, -0.16293335, -0.059265137, 0.027526855,
51 0.13961792, 0.26803589, 0.35470581, 0.37600708, 0.34085083,
52 0.2572937, 0.13265991, -0.008026123, -0.12841797, -0.22216797,
53 -0.30899048, -0.37841797, -0.4251709, -0.45947266, -0.48376465,
54 -0.50341797, -0.52294922, -0.54516602, -0.58447266, -0.62121582,
55 -0.63989258, -0.64990234, -0.63037109, -0.568573, -0.46630859,
56 -0.36468506, -0.27618408, -0.18487549, -0.11065674, -0.070404053,
57 -0.066101074, -0.049835205, -0.026611328, -0.013061523,
58 0.011444092, 0.034576416, 0.046112061, 0.052215576, 0.045501709,
59 0.030059814, 0.011657715, 0.026489258, 0.056121826, 0.10122681,
60 0.20016479, 0.33053589, 0.45944214, 0.54830933, 0.57751465, 0.5625,
61 0.55612183, 0.55319214, 0.5697937, 0.64987183, 0.73553467,
62 0.78170776, 0.84420776, 0.89987183, 0.90475464, 0.85861206,
63 0.75338745, 0.57077026, 0.3354187, 0.067779541, -0.1741333,
64 -0.36557007, -0.47802734, -0.51281738, -0.47766113, -0.36865234,
65 -0.22381592, -0.065765381, 0.066680908, 0.12365723, 0.098114014,
66 0.020965576, -0.10775757, -0.27294922, -0.41845703, -0.50146484,
67 -0.52563477, -0.48291016, -0.38186646, -0.27264404, -0.16925049,
68 -0.07043457, 0.003326416, 0.025085449, -0.028320312, -0.11358643,
69 -0.18164062, -0.21984863, -0.21286011, -0.16635132, -0.12728882,
70 -0.088104248, 0.016693115, 0.18893433, 0.40280151, 0.59127808,
71 0.67233276, 0.64682007, 0.54733276, 0.4213562, 0.30703735,
72 0.19845581, 0.12661743, 0.095611572, 0.10531616, 0.17950439,
73 0.29904175, 0.41726685, 0.47506714, 0.48678589, 0.48873901,
74 0.46694946, 0.42233276, 0.38088989, 0.34689331, 0.30709839,
75 0.26022339, 0.18258667, 0.064544678, -0.09085083, -0.25634766,
76 -0.41540527, -0.54693604, -0.62731934, -0.6809082, -0.70849609,
77 -0.71044922, -0.68469238, -0.64886475, -0.62115479, -0.6104126,
78 -0.62451172, -0.65185547, -0.67504883, -0.68969727, -0.70257568,
79 -0.71337891, -0.68994141, -0.61865234, -0.49755859, -0.32177734,
80 -0.10437012, 0.11209106, 0.30691528, 0.46789551, 0.51602173,
81 0.44674683, 0.32055664, 0.1769104, 0.06072998, 0.0075378418,
82 -0.013641357, -0.0038146973, 0.082244873, 0.22116089, 0.35787964,
83 0.47689819, 0.60266113, 0.71801758, 0.81747437, 0.91799927,
84 0.97079468, 0.97677612, 0.93850708, 0.83322144, 0.65866089,
85 0.42324829, 0.14834595, -0.10574341, -0.31484985, -0.46813965,
86 -0.54833984, -0.55517578, -0.51220703, -0.43115234, -0.34613037,
87 -0.29052734, -0.2699585, -0.29443359, -0.33349609, -0.38720703,
88 -0.45751953, -0.51318359, -0.54800415, -0.55706787, -0.5402832,
89 -0.48666382, -0.41162109, -0.32958984, -0.24560547, -0.19873047,
90 -0.18457031, -0.19171143, -0.21240234, -0.23876953, -0.25823975,
91 -0.26184082, -0.24902344, -0.21612549, -0.16552734, -0.11083984,
92 -0.058349609, -0.0034179688, 0.053283691, 0.12722778, 0.23052979,
93 0.35769653, 0.51147461, 0.68243408, 0.85015869, 0.96902466,
94 0.99908447, 0.99899292, 0.99453735, 0.87936401, 0.72964478,
95 0.59124756, 0.45162964, 0.29949951, 0.18435669, 0.087219238,
96 0.0085754395, -0.031677246, -0.057434082, -0.06338501,
97 -0.050262451, -0.021179199, 0.010986328, 0.035095215, 0.041900635,
98 0.026275635, -0.008972168, -0.067260742, -0.14938354, -0.24298096,
99 -0.33901978, -0.44342041, -0.53179932, -0.59924316, -0.64294434,
100 -0.66220093, -0.65362549, -0.61437988, -0.56277466, -0.48764038,
101 -0.41287231, -0.3420105, -0.25909424, -0.17782593, -0.10604858,
102 -0.033355713, 0.037872314, 0.097198486, 0.15203857, 0.19644165,
103 0.23324585, 0.2668457, 0.29403687, 0.31442261, 0.33148193,
104 0.33639526, 0.32794189, 0.31109619, 0.30651855, 0.30456543,
105 0.31005859, 0.32266235, 0.34017944, 0.36062622, 0.37988281,
106 0.39459229, 0.40344238, 0.41464233, 0.41500854, 0.41091919,
107 0.40512085, 0.39819336, 0.3843689, 0.36633301, 0.33621216,
108 0.28076172, 0.19436646, 0.083892822, -0.056732178, -0.21832275,
109 -0.38809204, -0.55502319, -0.70330811, -0.82672119, -0.909729,
110 -0.93505859, -0.9085083, -0.84347534, -0.74786377, -0.63342285,
111 -0.52468872, -0.42883301, -0.35321045, -0.29504395, -0.26339722,
112 -0.23782349, -0.21252441, -0.19006348, -0.16159058, -0.12472534,
113 -0.075958252, -0.012115479, 0.056091309, 0.11953735, 0.17373657,
114 0.22116089, 0.25097656, 0.25982666, 0.2539978, 0.24578857,
115 0.24325562, 0.25292969, 0.28744507, 0.34677124, 0.42510986,
116 0.51596069, 0.60205078, 0.67550659, 0.71774292, 0.728302,
117 0.70874023, 0.6612854, 0.59188843, 0.49536133, 0.37322998,
118 0.23904419, 0.10256958, -0.030303955, -0.15093994, -0.24526978,
119 -0.31253052, -0.3414917, -0.33178711, -0.29302979, -0.23806763,
120 -0.17816162, -0.13470459, -0.12387085, -0.15142822, -0.20706177,
121 -0.28427124, -0.37112427, -0.44927979, -0.50619507, -0.53219604,
122 -0.53118896, -0.49990845, -0.45379639, -0.39599609, -0.31643677,
123 -0.22329712, -0.15414429, -0.1050415, -0.075592041, -0.0753479,
124 -0.088775635, -0.099090576, -0.086639404, -0.035797119,
125 0.052154541, 0.1661377, 0.28082275, 0.39169312, 0.50491333,
126 0.59762573, 0.67288208, 0.71621704, 0.73251343, 0.71405029,
127 0.66171265, 0.60040283, 0.53762817, 0.46520996, 0.3727417,
128 0.26971436, 0.17245483, 0.092346191, 0.034851074, 0.0072937012,
129 0.007232666, 0.017547607, 0.01852417, 0.020172119, 0.023345947,
130 0.014434814, -0.013946533, -0.054168701, -0.094726562, -0.14425659,
131 -0.20623779, -0.27316284, -0.34069824, -0.40481567, -0.4647522,
132 -0.51278687, -0.55215454, -0.57962036, -0.58953857, -0.59140015,
133 -0.57885742, -0.55456543, -0.51055908, -0.45095825, -0.37948608,
134 -0.29974365, -0.22027588, -0.13543701, -0.047271729, 0.033721924,
135 0.1005249, 0.14877319, 0.18429565, 0.20465088, 0.21621704,
136 0.2272644, 0.23416138, 0.24511719, 0.26138306, 0.2805481,
137 0.3006897, 0.32943726, 0.36660767, 0.40802002, 0.44424438,
138 0.47698975, 0.50256348, 0.52005005, 0.5267334, 0.52258301,
139 0.50723267, 0.47485352, 0.42205811, 0.34805298, 0.26202393,
140 0.16522217, 0.067749023, -0.024169922, -0.1060791, -0.18280029,
141 -0.25424194, -0.31921387, -0.37774658, -0.43612671, -0.50094604,
142 -0.56121826, -0.61495972, -0.66091919, -0.69436646, -0.70004272,
143 -0.67868042, -0.63104248, -0.56182861, -0.48074341, -0.39840698,
144 -0.31900024, -0.24609375, -0.18695068, -0.1461792, -0.11993408,
145 -0.11032104, -0.10159302, -0.091918945, -0.076904297, -0.069580078,
146 -0.058898926, -0.038146973, -0.012542725, 0.014831543, 0.043304443,
147 0.082824707, 0.13180542, 0.1895752, 0.25256348, 0.32229614,
148 0.38531494, 0.43493652, 0.4697876, 0.48736572, 0.48733521,
149 0.46533203, 0.42901611, 0.38223267, 0.33636475, 0.2819519,
150 0.22467041, 0.16455078, 0.10604858, 0.047485352, -0.010040283,
151 -0.057098389, -0.093933105, -0.12252808, -0.14291382, -0.15545654,
152 -0.16064453, -0.16348267, -0.16918945, -0.17095947, -0.17773438,
153 -0.19436646, -0.21868896, -0.25158691, -0.2890625, -0.33297729,
154 -0.37677002, -0.41171265, -0.43563843, -0.44619751, -0.44320679,
155 -0.42520142, -0.39151001, -0.34609985, -0.29324341, -0.23846436,
156 -0.18026733, -0.12319946, -0.068023682, -0.017944336, 0.033691406,
157 0.08416748, 0.13388062, 0.18310547, 0.23513794, 0.28579712,
158 0.3314209, 0.37133789, 0.40841675, 0.44143677, 0.46252441,
159 0.47073364, 0.46435547, 0.44342041, 0.40725708, 0.35971069,
160 0.30911255, 0.26272583, 0.22372437, 0.19876099, 0.18948364,
161 0.18948364, 0.19799805, 0.21658325, 0.23733521, 0.25439453,
162 0.26513672, 0.26702881, 0.25582886, 0.2338562, 0.19677734,
163 0.15100098, 0.097106934, 0.036804199, -0.02456665, -0.087005615,
164 -0.14819336, -0.20632935, -0.26040649, -0.30117798, -0.33422852,
165 -0.35610962, -0.36178589, -0.3522644, -0.3237915, -0.28857422,
166 -0.24789429, -0.20108032, -0.14822388, -0.097442627, -0.055877686,
167 -0.019500732, 0.0064086914, 0.024627686, 0.033721924, 0.042114258,
168 0.052032471, 0.069763184, 0.094207764, 0.12030029, 0.14993286,
169 0.18215942, 0.22003174, 0.26171875, 0.30029297, 0.33355713,
170 0.35992432, 0.3833313, 0.40148926, 0.41094971, 0.40899658,
171 0.39849854, 0.37387085, 0.34091187, 0.30215454, 0.26016235,
172 0.2170105, 0.17681885, 0.13604736, 0.093658447, 0.049316406,
173 0.0074462891, -0.037322998, -0.086120605, -0.13262939, -0.18286133,
174 -0.22872925, -0.26879883, -0.3026123, -0.33206177, -0.35943604,
175 -0.37924194, -0.39431763, -0.40466309, -0.40936279, -0.40270996,
176 -0.38815308, -0.36676025, -0.3421936, -0.31149292, -0.27597046,
177 -0.24679565, -0.22177124, -0.20294189, -0.19259644, -0.18527222,
178 -0.18157959, -0.17645264, -0.16998291, -0.1524353, -0.12554932,
179 -0.086669922, -0.03894043, 0.016204834, 0.075744629, 0.13665771,
180 0.18896484, 0.23040771, 0.26107788, 0.28408813, 0.29443359,
181 0.29440308, 0.28460693, 0.27456665, 0.26107788, 0.24020386,
182 0.21322632, 0.18551636, 0.15698242, 0.12554932, 0.095855713,
183 0.069152832, 0.045501709, 0.020141602, -0.0030517578, -0.026702881,
184 -0.0496521, -0.071960449, -0.098327637, -0.12268066, -0.14907837,
185 -0.17523193, -0.20068359, -0.22494507, -0.2482605, -0.27352905,
186 -0.29666138, -0.31420898, -0.32751465, -0.33670044, -0.33874512,
187 -0.32943726, -0.31417847, -0.29504395, -0.26898193, -0.23904419,
188 -0.20245361, -0.16390991, -0.1210022, -0.078308105, -0.039337158,
189 -0.0037231445, 0.029174805, 0.05847168, 0.084106445, 0.1078186,
190 0.13174438, 0.15719604, 0.17941284, 0.20126343, 0.22348022,
191 0.2432251, 0.2578125, 0.2640686, 0.26593018, 0.25933838,
192 0.24685669, 0.2288208, 0.21047974, 0.19494629, 0.18075562,
193 0.17199707, 0.17199707, 0.17175293, 0.1729126, 0.17126465,
194 0.16873169, 0.16256714, 0.15036011, 0.1355896, 0.11254883,
195 0.083465576, 0.050079346, 0.01159668, -0.030029297, -0.074707031,
196 -0.11532593, -0.15432739, -0.18942261, -0.21673584, -0.23681641,
197 -0.24554443, -0.24703979, -0.24472046, -0.23815918, -0.22784424,
198 -0.21243286, -0.19384766, -0.17596436, -0.15844727, -0.14089966,
199 -0.12030029, -0.099395752, -0.076538086, -0.058746338,
200 -0.034484863, -0.0097351074, 0.015625, 0.037445068, 0.063079834,
201 0.087738037, 0.11401367, 0.13973999, 0.16848755, 0.19680786,
202 0.2244873, 0.25567627, 0.28305054, 0.30465698, 0.31854248,
203 0.32287598, 0.31808472, 0.30102539, 0.27633667, 0.24591064,
204 0.20962524, 0.17144775, 0.13021851, 0.09487915, 0.057861328,
205 0.023651123, -0.014129639, -0.051239014, -0.086639404, -0.12316895,
206 -0.15304565, -0.18545532, -0.21154785, -0.23434448, -0.25100708,
207 -0.26113892, -0.26712036, -0.26678467, -0.26687622, -0.262146,
208 -0.25656128, -0.24734497, -0.23501587, -0.22433472, -0.20773315,
209 -0.19207764, -0.17459106, -0.15997314, -0.14196777, -0.12670898,
210 -0.1166687, -0.10726929, -0.099243164, -0.090179443, -0.078521729,
211 -0.062225342, -0.038360596, -0.0068054199, 0.031402588,
212 0.072143555, 0.11181641, 0.15362549, 0.19085693, 0.22195435,
213 0.24661255, 0.26379395, 0.27166748, 0.27072144, 0.26507568,
214 0.25247192, 0.2348938, 0.21447754, 0.18756104, 0.15771484,
215 0.13241577, 0.10873413, 0.087036133, 0.065460205, 0.046875,
216 0.029754639, 0.013153076, -0.0065917969, -0.024993896,
217 -0.046051025, -0.067810059, -0.092285156, -0.11779785, -0.14529419,
218 -0.17376709, -0.19503784, -0.21487427, -0.23205566, -0.24533081,
219 -0.25128174, -0.2522583, -0.24685669, -0.23486328, -0.21954346,
220 -0.19946289, -0.1786499, -0.15280151, -0.12744141, -0.098022461,
221 -0.069091797, -0.038146973, -0.0079040527, 0.024719238,
222 0.054351807, 0.082275391, 0.11019897, 0.13510132, 0.15545654,
223 0.17276001, 0.1854248, 0.19042969, 0.19281006, 0.1930542,
224 0.19232178, 0.18795776, 0.17938232, 0.17156982, 0.16223145,
225 0.15603638, 0.15182495, 0.15118408, 0.14651489, 0.14263916,
226 0.13916016, 0.1343689, 0.12649536, 0.11480713, 0.10400391,
227 0.091766357, 0.079589844, 0.063781738, 0.04776001, 0.029510498,
228 0.013061523, -0.0087890625, -0.034454346, -0.06362915,
229 -0.097381592, -0.12896729, -0.15893555, -0.18429565, -0.20910645,
230 -0.22930908, -0.2411499, -0.25009155, -0.2505188, -0.24719238,
231 -0.23956299, -0.22445679, -0.20892334, -0.18774414, -0.16699219,
232 -0.14205933, -0.12145996, -0.10317993, -0.085449219, -0.066101074,
233 -0.050048828, -0.03326416, -0.014404297, 0.0099182129, 0.041809082,
234 0.077087402, 0.11599731, 0.14718628, 0.18060303, 0.20654297,
235 0.23117065, 0.25247192, 0.27026367, 0.28042603, 0.27871704,
236 0.27175903, 0.25527954, 0.2315979, 0.20584106, 0.17654419,
237 0.1446228, 0.1086731, 0.073699951, 0.040588379, 0.011627197,
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460 -0.020507812, -0.020721436, -0.020355225, -0.019348145,
461 -0.017974854, -0.016235352, -0.014648438, -0.013183594,
462 -0.011657715, -0.010498047, -0.0097961426, -0.0091552734,
463 -0.0082702637, -0.0070800781, -0.0055236816, -0.003112793,
464 -0.00054931641, 0.0024719238, 0.0049743652, 0.0075073242,
465 0.0095825195, 0.011352539, 0.012512207, 0.013580322, 0.014251709,
466 0.015045166, 0.016113281, 0.017089844, 0.018096924, 0.018890381,
467 0.019897461, 0.020629883, 0.020965576, 0.020782471, 0.019744873,
468 0.018371582, 0.016113281, 0.014068604, 0.011260986, 0.0094604492,
469 0.0072631836, 0.0054016113, 0.0033874512, 0.0014343262,
470 -0.0007019043, -0.0032958984, -0.0055847168, -0.0082397461,
471 -0.010650635, -0.013275146, -0.015167236, -0.016662598,
472 -0.017852783, -0.018218994, -0.018157959, -0.017486572,
473 -0.017181396, -0.01675415, -0.01651001, -0.015808105, -0.015014648,
474 -0.01385498, -0.012390137, -0.01083374, -0.0090332031,
475 -0.0072937012, -0.0054626465, -0.0038757324, -0.0022888184,
476 -0.00051879883, 0.0011901855, 0.0027770996, 0.0043334961,
477 0.0057067871, 0.0071716309, 0.0084533691, 0.010101318, 0.011047363,
478 0.011993408, 0.012969971, 0.013092041, 0.013427734, 0.013641357,
479 0.013946533, 0.014221191, 0.014099121, 0.01385498, 0.012756348,
480 0.012054443, 0.011322021, 0.010162354, 0.0087280273, 0.0073547363,
481 0.0061950684, 0.0046386719, 0.0029602051, 0.0014953613,
482 -0.00033569336, -0.0021362305, -0.0043640137, -0.0064086914,
483 -0.0086975098, -0.010498047, -0.012023926, -0.013092041,
484 -0.013366699, -0.01348877, -0.013793945, -0.013763428,
485 -0.013977051, -0.013824463, -0.013519287, -0.013305664,
486 -0.012878418, -0.012390137, -0.011352539, -0.010131836,
487 -0.0085144043, -0.0065307617, -0.0048217773, -0.0028076172,
488 -0.00094604492, 0.00082397461, 0.0019836426, 0.0028991699,
489 0.0037841797, 0.0042114258, 0.0050048828, 0.0057067871,
490 0.0067443848, 0.0078735352, 0.0088195801, 0.0099182129,
491 0.010986328, 0.011657715, 0.012145996, 0.012573242, 0.012969971,
492 0.013000488, 0.0128479, 0.012481689, 0.011993408, 0.011352539,
493 0.010498047, 0.0093688965, 0.0081176758, 0.0067749023,
494 0.0054931641, 0.0044250488, 0.0032958984, 0.001953125,
495 0.00054931641, -0.00085449219, -0.0026855469, -0.0042114258,
496 -0.0060119629, -0.0071716309, -0.0086364746, -0.0095825195,
497 -0.010284424, -0.010528564, -0.010498047, -0.010284424,
498 -0.0096740723, -0.0094299316, -0.0088195801, -0.0082092285,
499 -0.0076599121, -0.007232666, -0.0068359375, -0.0063171387,
500 -0.0056152344, -0.0047607422, -0.0038146973, -0.0027770996,
501 -0.0015563965, -0.00061035156, 0.00057983398, 0.0016174316,
502 0.002532959, 0.0032348633, 0.0037536621, 0.0041503906,
503 0.0043945312, 0.0048217773, 0.0053405762, 0.0060119629,
504 0.0067443848, 0.0075073242, 0.0080566406, 0.0084228516,
505 0.008392334, 0.0083618164, 0.0080566406, 0.0076293945,
506 0.0071411133, 0.0067749023, 0.0062255859, 0.0054626465,
507 0.0046081543, 0.0036315918, 0.0026550293, 0.0014648438,
508 0.0002746582, -0.00076293945, -0.0018615723, -0.0027160645,
509 -0.0035400391, -0.0041809082, -0.0048522949, -0.0054626465,
510 -0.0061035156, -0.0067138672, -0.0072021484, -0.0072937012,
511 -0.0072937012, -0.0069885254, -0.0065002441, -0.0059204102,
512 -0.0051269531, -0.0045471191, -0.0039672852, -0.0036010742,
513 -0.0031738281, -0.0027770996, -0.0023803711, -0.0018310547,
514 -0.0012817383, -0.00064086914, -3.0517578e-05, 0.00064086914,
515 0.0011901855, 0.0017700195, 0.0021972656, 0.002532959,
516 0.0028381348, 0.003112793, 0.0034484863, 0.0038146973,
517 0.0040893555, 0.0043334961, 0.0044250488, 0.0044555664,
518 0.0045776367, 0.0046691895, 0.0047302246, 0.0046691895,
519 0.0045471191, 0.0042724609, 0.00390625, 0.0035095215, 0.0029296875,
520 0.0024414062, 0.001953125, 0.0014343262, 0.00085449219,
521 0.00021362305, -0.00018310547, -0.00073242188, -0.0012207031,
522 -0.001739502, -0.002166748, 0
525 static const double tick[] = {
526 0.002166748, 0.0023193359, 0.001739502, 0.002166748, 0.0021362305,
527 0.0018615723, 0.0020446777, 0.002166748, 0.0019836426, 0.0022277832,
528 0.0018310547, 0.0023803711, 0.0022277832, 0.001953125, 0.0022888184,
529 0.0018005371, 0.0025024414, 0.0018310547, 0.0019836426, 0.001953125,
530 0.0020446777, 0.0017700195, 0.0021057129, 0.0020751953,
531 0.0019836426, 0.0014343262, 0.0024414062, 0.0015869141,
532 0.0022888184, 0.0016784668, 0.0025024414, 0.0017089844,
533 0.0024719238, 0.0020141602, 0.0026855469, 0.0013427734,
534 0.0028381348, 0.0015563965, 0.0020446777, 0.0018615723, 0.002532959,
535 0.0015258789, 0.0021972656, 0.0016784668, 0.002166748, 0.0016479492,
536 0.0021362305, 0.0018920898, 0.0021362305, 0.0017700195,
537 0.0020141602, 0.0022277832, 0.001739502, 0.0022583008, 0.001953125,
538 0.0021362305, 0.0018920898, 0.0020446777, 0.001953125, 0.0026550293,
539 0.0014953613, 0.0023803711, 0.001953125, 0.0021972656, 0.0015869141,
540 0.0017700195, 0.0020141602, 0.0022277832, 0.0015258789,
541 0.0015869141, -0.0045471191, -0.011230469, -0.009185791,
542 -0.0038757324, -0.020690918, -0.030731201, -0.0088806152,
543 0.0032958984, -0.0068664551, -0.0024719238, 0.024688721,
544 0.035400391, 0.014892578, 0.0047607422, 0.011779785, 0.0035095215,
545 -0.012573242, -0.0059814453, 0.0065612793, 0.0039672852,
546 0.0014343262, 0.010406494, 0.027374268, 0.021942139, 0.0065612793,
547 0.010681152, 0.024688721, 0.024291992, 0.012451172, 0.023590088,
548 0.033203125, 0.024139404, 0.010375977, 0.016662598, 0.026885986,
549 0.039215088, 0.038330078, 0.039703369, 0.048309326, 0.046447754,
550 0.029937744, 0.031311035, 0.066497803, 0.052856445, -0.0074768066,
551 -0.016998291, 0.016784668, 0.039428711, 0.021759033, 0.0040893555,
552 -0.0016174316, 0.012451172, 0.052215576, 0.047485352, 0.017150879,
553 0.015075684, 0.013397217, 0.024475098, 0.035247803, 0.039978027,
554 0.06137085, 0.080108643, 0.078521729, 0.054779053, 0.0625,
555 0.1076355, 0.10934448, 0.079803467, 0.056945801, 0.056182861,
556 0.047851562, 0.028503418, 0.022979736, 0.010803223, -0.015686035,
557 -0.050811768, -0.072509766, -0.057891846, -0.032073975,
558 -0.051300049, -0.078887939, -0.069366455, -0.038146973,
559 -0.0099182129, 0.010528564, 0.048492432, 0.082305908, 0.084838867,
560 0.059753418, 0.0043029785, -0.087158203, -0.18395996, -0.2911377,
561 -0.37133789, -0.33422852, -0.28649902, -0.31976318, -0.33630371,
562 -0.22824097, 0.020385742, 0.24456787, 0.31582642, 0.37380981,
563 0.40820312, 0.40539551, 0.41415405, 0.34210205, 0.20877075,
564 0.010498047, -0.17623901, -0.22705078, -0.15548706, -0.039855957,
565 0.0067443848, -0.0022277832, -0.050048828, -0.10186768, -0.11407471,
566 -0.1050415, -0.067352295, 0.0018615723, 0.079742432, 0.11517334,
567 0.12005615, 0.14709473, 0.19543457, 0.2015686, 0.150177,
568 0.052703857, -0.029602051, -0.084838867, -0.14590454, -0.18951416,
569 -0.18814087, -0.15014648, -0.11505127, -0.094360352, -0.076721191,
570 -0.037872314, 0.011749268, 0.034851074, 0.060791016, 0.11419678,
571 0.14096069, 0.13140869, 0.1277771, 0.12313843, 0.10934448,
572 0.055541992, -0.026397705, -0.07144165, -0.050262451, -0.0097961426,
573 -0.02822876, -0.15008545, -0.28927612, -0.32809448, -0.2772522,
574 -0.15994263, 0.016448975, 0.13085938, 0.12866211, 0.1072998,
575 0.094177246, 0.036346436, -0.026245117, -0.040496826, -0.01348877,
576 0.0085144043, 0.0070800781, -0.0086669922, -0.0038452148,
577 0.040252686, 0.077026367, 0.071960449, 0.032470703, 0.002166748,
578 0.0065612793, 0.0053100586, -0.025115967, -0.058532715,
579 -0.060699463, -0.015563965, 0.048278809, 0.086273193, 0.078582764,
580 0.031524658, -0.026580811, -0.077911377, -0.11288452, -0.13244629,
581 -0.15325928, -0.14471436, -0.095672607, -0.048858643, -0.012115479,
582 0.023132324, 0.051544189, 0.046691895, 0.01373291, -0.0097961426,
583 -0.016143799, -0.022460938, -0.025726318, 0.0075378418, 0.091522217,
584 0.19741821, 0.23269653, 0.16726685, 0.12173462, 0.12973022,
585 0.064300537, -0.12158203, -0.29794312, -0.33813477, -0.27990723,
586 -0.19500732, -0.063903809, 0.10449219, 0.23712158, 0.34381104,
587 0.41766357, 0.37658691, 0.22747803, 0.056365967, -0.088317871,
588 -0.19509888, -0.21295166, -0.15499878, -0.1114502, -0.093597412,
589 -0.071289062, -0.034606934, 0.009552002, 0.068084717, 0.12075806,
590 0.13098145, 0.11383057, 0.08291626, 0.037322998, -0.017211914,
591 -0.05456543, -0.074829102, -0.087768555, -0.076202393, -0.022735596,
592 0.032653809, 0.045623779, 0.045806885, 0.040496826, 0.016845703,
593 -0.023712158, -0.057769775, -0.07232666, -0.055145264,
594 -0.00091552734, 0.063201904, 0.11480713, 0.13497925, 0.11572266,
595 0.030731201, -0.11346436, -0.23406982, -0.27478027, -0.23690796,
596 -0.13735962, -0.016479492, 0.076904297, 0.09487915, 0.070220947,
597 0.058074951, 0.05355835, 0.017181396, -0.096893311, -0.21951294,
598 -0.26168823, -0.20983887, -0.093109131, 0.051879883, 0.15631104,
599 0.18319702, 0.15551758, 0.078826904, -0.012084961, -0.083007812,
600 -0.10766602, -0.085479736, -0.059906006, -0.040039062, -0.031646729,
601 -0.046142578, -0.065551758, -0.03414917, 0.025482178, 0.046325684,
602 0.054473877, 0.073303223, 0.073791504, 0.068786621, 0.082366943,
603 0.080596924, 0.052215576, 0.015594482, -0.0053405762, 0.0040588379,
604 0.032501221, 0.065551758, 0.093322754, 0.1199646, 0.13677979,
605 0.14523315, 0.1401062, 0.12902832, 0.11553955, 0.09664917,
606 0.091278076, 0.13305664, 0.24594116, 0.38180542, 0.45907593,
607 0.45343018, 0.4213562, 0.36801147, 0.31027222, 0.30541992,
608 0.33691406, 0.35479736, 0.3321228, 0.27334595, 0.25701904,
609 0.23641968, 0.18139648, 0.16793823, 0.17538452, 0.17803955,
610 0.19009399, 0.25280762, 0.38833618, 0.54940796, 0.70336914,
611 0.74789429, 0.64334106, 0.49359131, 0.30703735, 0.071624756,
612 -0.075897217, -0.096191406, -0.076568604, 0.023406982, 0.15078735,
613 0.21612549, 0.30493164, 0.39697266, 0.41009521, 0.32348633,
614 0.24707031, 0.20645142, 0.11102295, 0.0075073242, -0.046325684,
615 -0.038085938, 0.014251709, 0.096618652, 0.1842041, 0.21417236,
616 0.15905762, 0.0016174316, -0.25387573, -0.57302856, -0.85641479,
617 -0.99038696, -0.99038696, -0.99038696, -0.99038696, -0.99038696,
618 -0.90664673, -0.64364624, -0.42892456, -0.32131958, -0.23550415,
619 -0.25338745, -0.32595825, -0.44995117, -0.57858276, -0.68716431,
620 -0.80804443, -0.90670776, -0.9654541, -0.97409058, -0.95211792,
621 -0.90264893, -0.85357666, -0.80429077, -0.7482605, -0.69125366,
622 -0.60876465, -0.46228027, -0.23776245, -0.049041748, 0.019989014,
623 0.048950195, 0.033172607, -0.02142334, -0.084259033, -0.15020752,
624 -0.16220093, -0.14608765, -0.14526367, -0.16497803, -0.1781311,
625 -0.19717407, -0.24871826, -0.26089478, -0.21688843, -0.19818115,
626 -0.23718262, -0.2824707, -0.32797241, -0.36758423, -0.3258667,
627 -0.18960571, -0.082885742, -0.056365967, -0.054534912, -0.10766602,
628 -0.26501465, -0.44006348, -0.58209229, -0.71032715, -0.77719116,
629 -0.76467896, -0.68914795, -0.51403809, -0.27841187, -0.092163086,
630 0.056030273, 0.16799927, 0.19827271, 0.18478394, 0.17562866,
631 0.15100098, 0.066619873, -0.040313721, -0.15875244, -0.27044678,
632 -0.35754395, -0.39682007, -0.34078979, -0.22293091, -0.13269043,
633 -0.048034668, 0.0730896, 0.19732666, 0.30789185, 0.39804077,
634 0.44244385, 0.41928101, 0.35534668, 0.29177856, 0.22891235,
635 0.18084717, 0.15231323, 0.13360596, 0.13049316, 0.13156128,
636 0.1293335, 0.11477661, 0.12258911, 0.1824646, 0.26675415,
637 0.35171509, 0.43341064, 0.49163818, 0.51086426, 0.50985718,
638 0.49337769, 0.45962524, 0.43182373, 0.42025757, 0.4161377,
639 0.40631104, 0.40435791, 0.42172241, 0.44003296, 0.45986938,
640 0.47451782, 0.47540283, 0.48825073, 0.51907349, 0.5612793,
641 0.62319946, 0.7109375, 0.79650879, 0.86904907, 0.92111206,
642 0.96124268, 0.96994019, 0.92593384, 0.83483887, 0.70803833,
643 0.57583618, 0.45834351, 0.3828125, 0.35479736, 0.35110474,
644 0.38894653, 0.45022583, 0.49264526, 0.48919678, 0.45336914,
645 0.40823364, 0.35009766, 0.28097534, 0.22503662, 0.18313599,
646 0.14697266, 0.11010742, 0.07019043, 0.023956299, -0.024658203,
647 -0.087219238, -0.14846802, -0.19796753, -0.23556519, -0.25576782,
648 -0.25366211, -0.2333374, -0.19955444, -0.13546753, -0.052581787,
649 0.018371582, 0.079620361, 0.14343262, 0.20013428, 0.2388916,
650 0.25930786, 0.26889038, 0.26208496, 0.24691772, 0.22842407,
651 0.19110107, 0.14624023, 0.093017578, 0.034301758, -0.044189453,
652 -0.1378479, -0.22967529, -0.29983521, -0.32650757, -0.31271362,
653 -0.26196289, -0.19345093, -0.11380005, -0.032806396, 0.038330078,
654 0.087677002, 0.10690308, 0.092254639, 0.035766602, -0.057952881,
655 -0.17190552, -0.28945923, -0.40023804, -0.49761963, -0.5635376,
656 -0.59222412, -0.60348511, -0.61352539, -0.60958862, -0.57702637,
657 -0.53674316, -0.49453735, -0.45465088, -0.42507935, -0.40863037,
658 -0.4095459, -0.42730713, -0.45852661, -0.49362183, -0.53048706,
659 -0.55499268, -0.5526123, -0.52798462, -0.49053955, -0.44320679,
660 -0.38500977, -0.30548096, -0.2182312, -0.14306641, -0.073547363,
661 -0.0094299316, 0.045196533, 0.083312988, 0.11129761, 0.14489746,
662 0.19921875, 0.24578857, 0.25418091, 0.23397827, 0.20111084,
663 0.14822388, 0.078582764, 0.020812988, -0.012390137, -0.02520752,
664 -0.010559082, 0.026947021, 0.081542969, 0.13687134, 0.18441772,
665 0.21426392, 0.22711182, 0.21377563, 0.17559814, 0.12246704,
666 0.060882568, -0.0017089844, -0.067504883, -0.12475586, -0.16159058,
667 -0.16809082, -0.15145874, -0.12081909, -0.077362061, -0.03012085,
668 0.011444092, 0.044189453, 0.075256348, 0.1050415, 0.13238525,
669 0.15667725, 0.17337036, 0.17050171, 0.14389038, 0.10055542,
670 0.057220459, 0.016204834, -0.012664795, -0.025024414, -0.014221191,
671 0.012939453, 0.063781738, 0.12664795, 0.19824219, 0.26501465,
672 0.32858276, 0.3782959, 0.40698242, 0.42160034, 0.42788696,
673 0.43948364, 0.46075439, 0.48413086, 0.49819946, 0.50167847,
674 0.49963379, 0.48529053, 0.45324707, 0.40890503, 0.36273193,
675 0.31619263, 0.27200317, 0.23919678, 0.21868896, 0.2046814,
676 0.18276978, 0.15286255, 0.11727905, 0.071807861, 0.015777588,
677 -0.054199219, -0.12478638, -0.19580078, -0.25622559, -0.30892944,
678 -0.34820557, -0.37606812, -0.39535522, -0.40704346, -0.42147827,
679 -0.43313599, -0.4447937, -0.44998169, -0.44503784, -0.431427,
680 -0.40750122, -0.37838745, -0.34109497, -0.29644775, -0.24822998,
681 -0.1991272, -0.15881348, -0.12728882, -0.10827637, -0.09979248,
682 -0.094055176, -0.091125488, -0.089508057, -0.087646484, -0.0809021,
683 -0.072387695, -0.055328369, -0.035583496, -0.0079956055,
684 0.018188477, 0.04309082, 0.060577393, 0.073272705, 0.080413818,
685 0.084503174, 0.083343506, 0.07522583, 0.071136475, 0.076141357,
686 0.088348389, 0.10449219, 0.12374878, 0.14376831, 0.1534729,
687 0.14807129, 0.1255188, 0.092559814, 0.047485352, -0.0028076172,
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1125 -0.0050354004, -0.0045471191, -0.0035705566, -0.0025939941,
1126 -0.00091552734, 0.00082397461, 0.0028076172, 0.0045471191,
1127 0.0061950684, 0.0078430176, 0.0096435547, 0.010742188, 0.011474609,
1128 0.012176514, 0.01260376, 0.013153076, 0.013458252, 0.014129639,
1129 0.014801025, 0.015228271, 0.015991211, 0.016204834, 0.01663208,
1130 0.016601562, 0.016357422, 0.015808105, 0.014770508, 0.014007568,
1131 0.012939453, 0.012268066, 0.011444092, 0.01071167, 0.010070801,
1132 0.0086975098, 0.0075683594, 0.0058288574, 0.0040588379,
1133 0.0018615723, 6.1035156e-05, -0.0015258789, -0.0029602051,
1134 -0.0040283203, -0.0055236816, -0.0065307617, -0.0078735352,
1135 -0.0090942383, -0.010131836, -0.010925293, -0.011260986,
1136 -0.011322021, -0.011199951, -0.010955811, -0.010925293, -0.0105896,
1137 -0.010375977, -0.0097351074, -0.0092163086, -0.0085754395,
1138 -0.0077819824, -0.007232666, -0.0067443848, -0.0063171387,
1139 -0.0060119629, -0.0053405762, -0.0050048828, -0.0045166016,
1140 -0.0040588379, -0.0035400391, -0.0030517578, -0.0029907227,
1141 -0.0027160645, -0.0028076172, -0.0025024414, -0.0021972656,
1142 -0.001953125, -0.0013122559, -0.00091552734, -0.00033569336,
1143 -0.00012207031, -0.00024414062, -0.00054931641, -0.0010375977,
1144 -0.0018615723, -0.0028686523, -0.0036010742, -0.0042724609,
1145 -0.0046691895, -0.0052490234, -0.0056152344, -0.0061035156,
1146 -0.0066833496, -0.0074768066, -0.0083007812, -0.0089111328,
1147 -0.0093688965, -0.0096435547, -0.0096740723, -0.0093994141,
1148 -0.0086669922, -0.0079040527, -0.0073242188, -0.007019043,
1149 -0.0067749023, -0.0067138672, -0.0064697266, -0.0060424805,
1150 -0.0054931641, -0.0048828125, -0.0044250488, -0.0039367676,
1151 -0.0031738281, -0.0024414062, -0.0014953613, -0.00039672852,
1152 0.0007019043, 0.001739502, 0.0028991699, 0.0042724609, 0.005645752,
1153 0.0072021484, 0.0087585449, 0.010192871, 0.011627197, 0.012542725,
1154 0.013244629, 0.01361084, 0.013671875, 0.013580322, 0.013122559,
1155 0.012512207, 0.012145996, 0.011993408, 0.011932373, 0.011779785,
1156 0.011352539, 0.010742188, 0.0099487305, 0.0090942383, 0.0079956055,
1157 0.0068054199, 0.0057373047, 0.0047912598, 0.004119873, 0.003326416,
1158 0.0027770996, 0.0021057129, 0.0015869141, 0.0010375977,
1159 0.00024414062, -0.00030517578, -0.00085449219, -0.0012512207,
1160 -0.0015869141, -0.002166748, -0.0025939941, -0.0032043457,
1161 -0.0038757324, -0.0043640137, -0.0044250488, -0.004486084,
1162 -0.004119873, -0.0036621094, -0.0028381348, -0.0020751953,
1163 -0.0012817383, -0.00064086914, -0.00012207031, 0.00051879883,
1164 0.0012512207, 0.002166748, 0.0032653809, 0.0042419434, 0.0049743652,
1165 0.0056152344, 0.0059509277, 0.0061645508, 0.0062866211,
1166 0.0061035156, 0.0059204102, 0.005645752, 0.005645752, 0.0054016113,
1167 0.0051879883, 0.0050354004, 0.0049133301, 0.0049133301, 0.004699707,
1168 0.0045776367, 0.0043640137, 0.0040283203, 0.0033569336,
1169 0.0025024414, 0.0013122559, 6.1035156e-05, -0.0009765625,
1170 -0.0021972656, -0.0028076172, -0.0036010742, -0.0038452148,
1171 -0.0042419434, -0.004699707, -0.0052185059, -0.0058898926,
1172 -0.0064697266, -0.0073242188, -0.0082397461, -0.0091552734,
1173 -0.0096740723, -0.0099182129, -0.0096435547, -0.0091552734,
1174 -0.0085449219, -0.0079040527, -0.0074768066, -0.0068969727,
1175 -0.0066223145, -0.0062561035, -0.005859375, -0.0055236816,
1176 -0.0049438477, -0.0045471191, -0.0039672852, -0.0035095215,
1177 -0.0030822754, -0.002746582, -0.0026245117, -0.0025939941,
1178 -0.002532959, -0.0024414062, -0.0020141602, -0.0015869141,
1179 -0.001159668, -0.00067138672, -0.0002746582, 0.00021362305,
1180 0.00033569336, 0.00045776367, 0.00051879883, 0.00064086914,
1181 0.00079345703, 0.00088500977, 0.00094604492, 0.00082397461,
1182 0.00064086914, 0.00030517578, 0.00015258789, -0.00024414062,
1183 -0.00061035156, -0.0011901855, -0.0016174316, -0.0020446777,
1184 -0.0022888184, -0.0023803711, -0.0023803711, -0.0023803711,
1185 -0.0023498535, -0.0022888184, -0.0020446777, -0.0018005371,
1186 -0.0014343262, -0.0011901855, -0.00088500977, -0.00064086914,
1187 -0.00045776367, -0.00039672852, -0.00033569336, -0.00015258789, 0,
1188 0.00030517578, 0.00054931641, 0.0010375977, 0.001373291,
1189 0.0016784668, 0.001953125, 0.0023193359, 0.0028381348, 0.0035095215,
1190 0.0043334961, 0.0049133301, 0.0056152344, 0.006072998, 0.0065917969,
1191 0.0068664551, 0.0072021484, 0.0073547363, 0.0074768066,
1192 0.0075378418, 0.0073547363, 0.0070800781, 0.0066223145,
1193 0.0062866211, 0.005859375, 0.0054321289, 0.0050048828, 0.0045776367,
1194 0.0043334961, 0.0039978027, 0.003692627, 0.0032958984, 0.0029602051,
1195 0.0024108887, 0.0019226074, 0.0014343262, 0.00088500977,
1196 0.00054931641, 0.00012207031, -0.00015258789, -0.00045776367,
1197 -0.00067138672, -0.0009765625, -0.0012512207, -0.0015869141,
1198 -0.001953125, -0.0022888184, -3.0517578e-05, -3.0517578e-05,
1199 -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1200 -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -6.1035156e-05,
1201 -3.0517578e-05, -6.1035156e-05, -3.0517578e-05, -6.1035156e-05,
1202 -6.1035156e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1203 -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1204 -3.0517578e-05, -3.0517578e-05, -3.0517578e-05, -3.0517578e-05,
1205 -3.0517578e-05, -3.0517578e-05, 0,
1208 static const unsigned tickLength =
sizeof(tick) /
sizeof(*tick);
1209 static const unsigned tackLength =
sizeof(tack) /
sizeof(*tack);