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};
float inv_tan_table[1921] = { 3056.234619, 
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145.511841, 
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1.095380, 
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1.060015, 
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1.039381, 
1.032596, 
1.025857, 
1.019163, 
1.012514, 
1.005908, 
0.999346, 
0.992826, 
0.986349, 
0.979914, 
0.973519, 
0.967166, 
0.960852, 
0.954578, 
0.948343, 
0.942147, 
0.935988, 
0.929868, 
0.923784, 
0.917737, 
0.911726, 
0.905751, 
0.899812, 
0.893907, 
0.888037, 
0.882200, 
0.876398, 
0.870628, 
0.864892, 
0.859187, 
0.853515, 
0.847874, 
0.842265, 
0.836686, 
0.831138, 
0.825620, 
0.820131, 
0.814672, 
0.809242, 
0.803841, 
0.798468, 
0.793123, 
0.787806, 
0.782516, 
0.777253, 
0.772017, 
0.766807, 
0.761624, 
0.756466, 
0.751333, 
0.746226, 
0.741143, 
0.736086, 
0.731052, 
0.726043, 
0.721057, 
0.716095, 
0.711156, 
0.706240, 
0.701346, 
0.696475, 
0.691626, 
0.686799, 
0.681994, 
0.677210, 
0.672447, 
0.667705, 
0.662984, 
0.658284, 
0.653603, 
0.648943, 
0.644302, 
0.639680, 
0.635078, 
0.630496, 
0.625932, 
0.621386, 
0.616859, 
0.612351, 
0.607860, 
0.603387, 
0.598932, 
0.594495, 
0.590074, 
0.585671, 
0.581284, 
0.576914, 
0.572561, 
0.568223, 
0.563902, 
0.559597, 
0.555308, 
0.551034, 
0.546775, 
0.542532, 
0.538304, 
0.534091, 
0.529892, 
0.525708, 
0.521538, 
0.517382, 
0.513241, 
0.509113, 
0.505000, 
0.500899, 
0.496812, 
0.492739, 
0.488678, 
0.484631, 
0.480596, 
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0.339089, 
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0.317339, 
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0.310150, 
0.306566, 
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0.299420, 
0.295858, 
0.292302, 
0.288753, 
0.285211, 
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0.278147, 
0.274625, 
0.271108, 
0.267599, 
0.264095, 
0.260597, 
0.257105, 
0.253619, 
0.250139, 
0.246665, 
0.243196, 
0.239733, 
0.236275, 
0.232822, 
0.229375, 
0.225933, 
0.222496, 
0.219064, 
0.215637, 
0.212215, 
0.208797, 
0.205384, 
0.201976, 
0.198572, 
0.195173, 
0.191778, 
0.188387, 
0.185001, 
0.181618, 
0.178240, 
0.174865, 
0.171495, 
0.168128, 
0.164765, 
0.161405, 
0.158049, 
0.154697, 
0.151347, 
0.148002, 
0.144659, 
0.141320, 
0.137983, 
0.134650, 
0.131320, 
0.127992, 
0.124667, 
0.121345, 
0.118026, 
0.114709, 
0.111395, 
0.108083, 
0.104773, 
0.101466, 
0.098161, 
0.094858, 
0.091557, 
0.088258, 
0.084961, 
0.081666, 
0.078372, 
0.075081, 
0.071791, 
0.068502, 
0.065215, 
0.061929, 
0.058645, 
0.055362, 
0.052080, 
0.048799, 
0.045519, 
0.042240, 
0.038962, 
0.035685, 
0.032409, 
0.029133, 
0.025858, 
0.022584, 
0.019310, 
0.016037, 
0.012763, 
0.009491, 
0.006218, 
0.002945, 
-0.000327, 
-0.003600, 
-0.006872, 
-0.010145, 
-0.013418, 
-0.016691, 
-0.019965, 
-0.023239, 
-0.026513, 
-0.029788, 
-0.033064, 
-0.036341, 
-0.039618, 
-0.042896, 
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-0.473365, 
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-0.687763, 
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-0.702323, 
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-0.717085, 
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-0.727043, 
-0.732057, 
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-0.742158, 
-0.747245, 
-0.752358, 
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-0.767847, 
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-0.788867, 
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-0.799540, 
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-0.826721, 
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-0.837799, 
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-0.849000, 
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-0.877555, 
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-0.918943, 
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-0.937217, 
-0.943383, 
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-0.955829, 
-0.962111, 
-0.968433, 
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-0.981197, 
-0.987641, 
-0.994127, 
-1.000655, 
-1.007225, 
-1.013840, 
-1.020498, 
-1.027201, 
-1.033949, 
-1.040743, 
-1.047583, 
-1.054471, 
-1.061406, 
-1.068390, 
-1.075422, 
-1.082504, 
-1.089637, 
-1.096820, 
-1.104056, 
-1.111344, 
-1.118685, 
-1.126080, 
-1.133529, 
-1.141034, 
-1.148596, 
-1.156214, 
-1.163891, 
-1.171626, 
-1.179420, 
-1.187275, 
-1.195191, 
-1.203170, 
-1.211211, 
-1.219317, 
-1.227487, 
-1.235724, 
-1.244027, 
-1.252398, 
-1.260838, 
-1.269348, 
-1.277929, 
-1.286582, 
-1.295308, 
-1.304109, 
-1.312985, 
-1.321937, 
-1.330967, 
-1.340077, 
-1.349266, 
-1.358537, 
-1.367891, 
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-1.386853, 
-1.396463, 
-1.406162, 
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-1.435801, 
-1.445868, 
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-1.540969, 
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-1.586054, 
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-1.669638, 
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-1.787000, 
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-1.828905, 
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-1.902198, 
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-1.932806, 
-1.948402, 
-1.964199, 
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-2.012833, 
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-2.171036, 
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-2.267973, 
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-2.329664, 
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-2.372383, 
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-2.508905, 
-2.532974, 
-2.557446, 
-2.582330, 
-2.607639, 
-2.633384, 
-2.659576, 
-2.686228, 
-2.713352, 
-2.740963, 
-2.769073, 
-2.797698, 
-2.826852, 
-2.856550, 
-2.886809, 
-2.917645, 
-2.949075, 
-2.981118, 
-3.013792, 
-3.047117, 
-3.081114, 
-3.115803, 
-3.151206, 
-3.187348, 
-3.224251, 
-3.261942, 
-3.300445, 
-3.339790, 
-3.380004, 
-3.421118, 
-3.463163, 
-3.506171, 
-3.550179, 
-3.595220, 
-3.641335, 
-3.688561, 
-3.736941, 
-3.786520, 
-3.837343, 
-3.889457, 
-3.942916, 
-3.997773, 
-4.054084, 
-4.111909, 
-4.171312, 
-4.232359, 
-4.295121, 
-4.359672, 
-4.426092, 
-4.494463, 
-4.564877, 
-4.637426, 
-4.712211, 
-4.789339, 
-4.868922, 
-4.951083, 
-5.035951, 
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-5.214365, 
-5.308217, 
-5.405387, 
-5.506057, 
-5.610421, 
-5.718690, 
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-5.947859, 
-6.069266, 
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-8.977072, 
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-11.330393, 
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-12.759580, 
-13.318996, 
-13.929403, 
-14.598117, 
-15.333927, 
-16.147486, 
-17.051825, 
-18.063053, 
-19.201345, 
-20.492281, 
-21.968803, 
-23.674076, 
-25.665766, 
-28.022701, 
-30.855568, 
-34.324783, 
-38.672005, 
-44.278969, 
-51.786232, 
-62.357220, 
-78.348648, 
-105.367851, 
-160.826935, 
-339.523987, 
3056.227051 
};
int cos_table[1921] = { 983552 , 
981696 , 
979840 , 
978048 , 
976256 , 
974464 , 
972736 , 
970944 , 
969216 , 
967552 , 
965824 , 
964160 , 
962496 , 
960832 , 
959232 , 
957568 , 
955968 , 
954432 , 
952832 , 
951296 , 
949760 , 
948224 , 
946688 , 
945216 , 
943744 , 
942272 , 
940800 , 
939392 , 
937984 , 
936576 , 
935168 , 
933760 , 
932416 , 
931072 , 
929728 , 
928448 , 
927104 , 
925824 , 
924544 , 
923264 , 
921984 , 
920768 , 
919552 , 
918336 , 
917120 , 
915904 , 
914752 , 
913600 , 
912448 , 
911296 , 
910144 , 
909056 , 
907968 , 
906880 , 
905792 , 
904704 , 
903680 , 
902656 , 
901632 , 
900608 , 
899584 , 
898560 , 
897600 , 
896640 , 
895680 , 
894720 , 
893824 , 
892864 , 
891968 , 
891072 , 
890176 , 
889280 , 
888448 , 
887616 , 
886720 , 
885888 , 
885120 , 
884288 , 
883456 , 
882688 , 
881920 , 
881152 , 
880384 , 
879616 , 
878912 , 
878208 , 
877440 , 
876800 , 
876096 , 
875392 , 
874752 , 
874048 , 
873408 , 
872768 , 
872128 , 
871488 , 
870912 , 
870336 , 
869696 , 
869120 , 
868544 , 
868032 , 
867456 , 
866944 , 
866368 , 
865856 , 
865344 , 
864832 , 
864384 , 
863872 , 
863424 , 
862976 , 
862528 , 
862080 , 
861632 , 
861248 , 
860800 , 
860416 , 
860032 , 
859648 , 
859264 , 
858880 , 
858560 , 
858176 , 
857856 , 
857536 , 
857216 , 
856896 , 
856576 , 
856320 , 
856000 , 
855744 , 
855488 , 
855232 , 
854976 , 
854784 , 
854528 , 
854336 , 
854144 , 
853952 , 
853760 , 
853568 , 
853376 , 
853248 , 
853120 , 
852928 , 
852800 , 
852672 , 
852608 , 
852480 , 
852352 , 
852288 , 
852224 , 
852160 , 
852096 , 
852032 , 
852032 , 
851968 , 
851968 , 
851968 , 
851968 , 
851968 , 
851968 , 
851968 , 
852032 , 
852032 , 
852096 , 
852160 , 
852224 , 
852288 , 
852416 , 
852480 , 
852608 , 
852736 , 
852864 , 
852992 , 
853120 , 
853248 , 
853440 , 
853632 , 
853760 , 
853952 , 
854144 , 
854400 , 
854592 , 
854848 , 
855040 , 
855296 , 
855552 , 
855808 , 
856064 , 
856384 , 
856640 , 
856960 , 
857280 , 
857600 , 
857920 , 
858240 , 
858624 , 
858944 , 
859328 , 
859712 , 
860096 , 
860480 , 
860864 , 
861312 , 
861696 , 
862144 , 
862592 , 
863040 , 
863488 , 
864000 , 
864448 , 
864960 , 
865472 , 
865984 , 
866496 , 
867008 , 
867584 , 
868096 , 
868672 , 
869248 , 
869824 , 
870400 , 
871040 , 
871616 , 
872256 , 
872896 , 
873536 , 
874176 , 
874880 , 
875520 , 
876224 , 
876928 , 
877632 , 
878336 , 
879040 , 
879808 , 
880512 , 
881280 , 
882048 , 
882816 , 
883648 , 
884416 , 
885248 , 
886080 , 
886912 , 
887744 , 
888640 , 
889472 , 
890368 , 
891264 , 
892160 , 
893056 , 
894016 , 
894912 , 
895872 , 
896832 , 
897792 , 
898816 , 
899776 , 
900800 , 
901824 , 
902848 , 
903872 , 
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