draw.von.mises: Generates variates from Von Mises distribution
In UnivRNG: Univariate Pseudo-Random Number Generation
Description
Usage
Arguments
Value
References
Examples
View source: R/draw.von.mises.R
Description
This function implements pseudo-random number generation for a Von Mises distribution with pdf
f(x|K)=\frac{1}{2π I_{0}(K)}e^{Kcos(x)}
for -π ≤q x ≤q π and K > 0 where I_{0}(K) is a modified Bessel function of the first kind of order 0.
Usage
1
draw.von.mises(nrep,K)
Arguments
nrep
Number of data points to generate.
K
Parameter of the desired von Mises distribution.
Value
A list of length three containing generated data, the theoretical mean, and the empirical mean with names y, theo.mean, and emp.mean, respectively.
References
Best, D. J., & Fisher, N. I. (1979). Efficient simulation of the von mises distribution. Applied Statistics, 28, 152-157.
Examples
1
2
3
draw.von.mises(nrep=100000,K=10)
draw.von.mises(nrep=100000,K=0.5)
Example output
$y
[1] 3.549454e-01 -4.653905e-01 2.318165e-02 4.370110e-01 2.470118e-01
[6] 6.557511e-02 2.443672e-01 -1.978957e-01 1.492322e-01 -5.027722e-02
[11] 3.583325e-01 -1.956659e-01 5.891477e-01 -4.935417e-01 -7.492586e-01
[16] -2.126366e-01 5.518764e-01 2.080262e-01 5.441453e-01 -9.977271e-02
[21] -2.538444e-01 -1.881498e-01 7.734334e-02 -3.616340e-02 -5.280204e-01
[26] 5.218820e-02 -7.393054e-02 5.155077e-01 5.639884e-01 -5.462185e-02
[31] 1.007489e+00 1.749700e-01 3.482226e-01 5.540185e-02 -1.384838e-01
[36] 1.463946e-02 -3.735519e-01 3.054046e-01 -1.013565e+00 -1.732142e-01
[41] 7.352061e-01 -3.333980e-01 -5.792424e-02 -4.348046e-01 -4.962403e-01
[46] -5.066829e-01 -1.796566e-01 -4.783043e-01 4.730212e-01 -5.966651e-01
[51] 2.716376e-01 2.504600e-02 -2.862991e-01 6.044222e-01 5.678166e-01
[56] 5.485834e-01 3.011914e-01 3.968077e-01 4.345049e-01 5.864716e-01
[61] -1.036548e-01 -3.018172e-01 2.261195e-01 -1.285688e-01 -1.053088e-01
[66] -9.132137e-02 2.406042e-01 2.864144e-01 -2.066849e-01 -1.856536e-01
[71] -4.110353e-01 3.210647e-01 1.366635e-01 1.420532e-01 -5.776030e-02
[76] 7.106535e-01 2.786060e-01 1.121646e-01 4.598050e-01 2.842515e-01
[81] 2.361462e-01 1.078425e+00 2.398389e-01 -2.268041e-01 3.522712e-01
[86] -1.415155e-01 -2.309161e-01 4.250525e-01 -7.913856e-01 6.317862e-02
[91] 2.037197e-01 -5.657653e-02 -9.641142e-02 9.592300e-03 2.351239e-01
[96] -7.036444e-01 1.997731e-02 -1.649558e-01 3.178661e-01 -1.685230e-02
[101] 2.269317e-01 7.883347e-02 -6.098436e-01 -1.160228e-01 -9.969356e-02
[106] -6.297760e-02 8.784171e-02 6.738826e-02 8.868332e-02 1.277718e-01
[111] 4.892147e-01 4.603069e-01 8.342437e-02 5.031814e-01 5.127348e-02
[116] -3.700829e-01 -3.316457e-01 2.389369e-01 -5.490417e-01 -5.937551e-01
[121] 8.701810e-01 1.826511e-01 -2.407416e-01 1.476267e-01 -1.655426e-01
[126] 2.555294e-01 1.510742e-01 -2.889879e-01 -9.057579e-02 -6.479556e-02
[131] -2.831867e-02 2.362132e-01 -6.014084e-01 2.990087e-01 -3.136172e-01
[136] 8.989458e-02 7.671886e-01 -4.978900e-01 6.509334e-01 2.199882e-01
[141] -2.488848e-01 3.587553e-01 -8.587480e-02 1.774604e-01 2.760696e-01
[146] -2.889552e-01 1.841733e-01 -3.603017e-01 -1.477842e-01 5.921645e-02
[151] 5.748899e-01 -9.787479e-02 -4.468158e-01 -8.616316e-03 3.216031e-01
[156] 2.180492e-01 1.273997e-01 2.721052e-01 1.891164e-01 -1.417055e-01
[161] 1.047648e-01 2.975298e-01 4.206892e-01 3.343726e-02 1.560019e-01
[166] -1.953036e-01 -1.548683e-01 1.423579e-01 -9.592511e-02 2.957905e-01
[171] 2.882601e-01 1.408501e-01 4.494789e-01 -2.991661e-03 -1.228179e-01
[176] 1.733024e-01 4.671646e-01 1.661467e-01 -2.531400e-01 -2.573139e-02
[181] 4.839442e-01 1.898510e-02 -2.461583e-02 -4.663035e-02 -8.552873e-02
[186] 6.448595e-02 5.515545e-01 9.350414e-02 8.597491e-02 1.157263e-01
[191] 3.737363e-01 -3.340889e-02 5.815569e-01 3.778167e-01 -2.038333e-01
[196] 2.959410e-01 -1.521638e-01 -1.756787e-01 -1.540512e-01 1.361102e-01
[201] -1.965096e-01 -2.153169e-01 5.143788e-01 2.847649e-01 -3.394640e-01
[206] -1.636783e-01 2.510364e-01 4.080701e-01 1.046444e-01 -1.467464e-01
[211] 6.912707e-01 1.252800e-01 -2.357204e-02 2.743679e-01 -4.859059e-02
[216] 2.885635e-01 1.031243e-01 -1.391250e-01 3.097643e-01 -1.344025e-03
[221] 2.909214e-01 -1.062012e-01 4.075325e-01 4.015103e-01 -7.581177e-01
[226] 2.845110e-01 6.270242e-01 -1.322881e-01 1.576811e-01 -1.897910e-01
[231] -1.656156e-02 -3.223940e-01 5.608049e-01 1.298832e-01 1.320482e-01
[236] -7.338824e-02 6.521077e-01 2.980221e-01 1.729161e-01 1.674541e-01
[241] 6.059535e-01 4.273848e-01 -4.762224e-01 2.812451e-01 -1.017815e-01
[246] -2.274366e-01 1.163142e-01 -6.084200e-01 5.293518e-01 2.865429e-02
[251] 1.266211e-01 1.895046e-01 8.796652e-01 1.669149e-01 -6.989650e-01
[256] -5.748372e-01 2.768031e-01 1.965028e-01 -2.358156e-02 -3.564663e-01
[261] -6.268609e-02 -1.866301e-01 -7.684675e-02 -2.308827e-01 -1.886620e-02
[266] -2.660861e-01 2.782952e-01 -1.804384e-01 4.838625e-02 7.616426e-03
[271] 2.572785e-01 8.944214e-03 -3.973116e-01 2.870972e-01 4.605536e-01
[276] -1.219680e-01 3.312307e-01 -2.607409e-02 -9.230380e-02 -3.145244e-01
[281] 3.325354e-01 -2.937298e-01 2.632065e-01 -4.819295e-01 1.876625e-01
[286] 4.779316e-02 -5.247567e-02 -8.072168e-01 2.704335e-01 -8.594453e-02
[291] 2.033323e-01 2.067364e-01 -1.508155e-01 -5.473470e-03 2.955104e-01
[296] 3.448656e-02 5.164564e-01 -6.795512e-01 5.800003e-01 8.457333e-02
[301] 6.098318e-01 2.962405e-01 -3.884415e-02 -3.054685e-01 1.905168e-01
[306] -9.379361e-02 3.209852e-01 -1.173012e-01 8.233684e-03 -4.788273e-01
[311] -1.132170e-01 1.670475e-02 -3.769847e-01 -1.109540e-01 -1.000759e-01
[316] 1.719057e-01 -7.363672e-02 -1.747873e-01 1.416087e-01 -8.993216e-04
[321] -5.590541e-02 -2.518102e-02 -2.290551e-01 -1.211388e-01 -5.504937e-01
[326] -3.338833e-01 3.697586e-01 -4.190592e-02 4.695116e-02 -1.833557e-01
[331] 7.450475e-02 4.540293e-01 -5.571679e-01 9.039756e-02 5.288307e-01
[336] -2.761720e-01 -2.127091e-01 -4.713041e-01 -2.143670e-01 1.156009e-01
[341] 1.538883e-01 5.893587e-01 -8.308954e-02 -2.974438e-02 1.072468e+00
[346] -3.993229e-02 -6.109512e-01 3.440753e-01 7.426372e-01 3.675594e-01
[351] 9.664566e-02 9.291102e-02 -3.404625e-01 3.516263e-01 -4.042228e-01
[356] -1.140421e-01 9.225134e-03 -2.468330e-01 -2.907184e-01 1.444423e-01
[361] 2.286959e-01 3.801662e-02 8.334267e-01 6.158932e-01 -1.407716e-01
[366] -1.826232e-01 1.334204e-01 -1.870765e-01 -3.865404e-01 -1.542250e-01
[371] 1.912610e-01 1.165624e-01 3.397215e-02 4.917110e-01 3.274364e-01
[376] 2.638968e-01 -1.116417e-01 4.182202e-01 -1.595027e-01 -5.765006e-01
[381] -2.197740e-01 1.389801e-01 -3.468790e-01 -2.686148e-01 -1.260019e-01
[386] -5.287287e-01 4.668998e-01 4.972399e-02 2.299617e-01 3.768582e-01
[391] 5.602968e-02 2.765991e-01 -6.138484e-02 -1.334252e-01 2.926398e-02
[396] -1.854266e-01 -4.870411e-01 -4.158343e-01 6.344997e-02 1.869077e-02
[401] 2.940895e-02 -3.047615e-02 -1.392274e-01 3.197484e-01 -5.021060e-01
[406] 3.527793e-01 3.965412e-01 -7.136383e-02 -2.677687e-02 3.015931e-01
[411] -4.958305e-02 -8.701691e-02 3.110059e-01 -3.941579e-01 -2.833748e-01
[416] -1.208305e-01 -7.259216e-02 1.013130e+00 -7.324670e-01 3.755850e-02
[421] 7.882140e-02 3.978647e-01 1.884764e-02 1.044890e-01 -6.562633e-01
[426] 3.911620e-01 -4.368570e-01 -5.410901e-01 1.826181e-01 6.131301e-02
[431] -6.000957e-04 -1.007510e-01 -4.496309e-01 -7.541346e-02 -1.275186e-01
[436] -2.589551e-01 3.454777e-01 1.243611e-01 1.796585e-01 1.171650e-01
[441] 2.488389e-01 3.698844e-01 5.374445e-02 -2.014655e-01 -1.017320e-01
[446] 1.025540e-01 1.032395e-01 1.099331e-02 3.515164e-01 3.464637e-02
[451] -1.663937e-01 1.413540e-01 -7.153392e-01 -7.120156e-02 1.695078e-01
[456] 6.395316e-02 -3.259496e-01 1.359127e-01 -3.002888e-01 -3.301747e-01
[461] -3.189215e-02 2.894804e-01 -3.521401e-03 6.848767e-01 1.985116e-01
[466] -3.205589e-01 -6.821075e-02 -1.139896e-01 -3.781871e-01 6.714008e-01
[471] -4.651205e-02 7.534311e-02 -5.148482e-01 -5.251610e-01 2.129110e-01
[476] -4.398568e-01 -1.680184e-01 4.651617e-01 1.218721e-01 -7.424851e-02
[481] 3.725463e-01 2.098123e-01 -5.185134e-01 -2.748206e-01 -1.888959e-01
[486] 1.024194e-01 -5.639030e-01 -3.745890e-01 -3.502104e-01 2.522135e-01
[491] -3.360265e-02 -3.694474e-02 9.381764e-01 -6.773949e-02 4.437365e-02
[496] -2.022090e-01 3.249078e-01 -1.989769e-01 -1.022546e-01 3.985591e-01
[501] 8.803276e-02 -1.760662e-01 2.230084e-01 1.134595e-01 -1.409253e-01
[506] -1.780529e-01 -1.745441e-01 3.562477e-01 -4.466532e-03 -1.530057e-01
[511] 9.143057e-03 -2.250740e-01 -2.951676e-01 -1.995217e-01 4.629302e-02
[516] -2.254558e-01 5.281877e-01 -5.295661e-02 1.469035e-01 2.366154e-01
[521] 5.263282e-01 1.553106e-01 1.221593e-02 -2.003587e-01 5.408125e-01
[526] -2.390813e-02 3.317706e-01 -2.179235e-01 2.650492e-01 -2.649889e-01
[531] -8.431727e-02 -1.101870e-01 1.091473e-01 -7.888156e-02 1.962666e-02
[536] -2.563912e-01 -3.261152e-01 5.278388e-01 -3.727823e-01 2.266569e-02
[541] -1.807523e-01 2.666721e-02 -6.409905e-02 6.574889e-01 2.826672e-01
[546] -4.486149e-02 1.363733e-01 -3.609510e-01 -2.295602e-01 -9.098969e-02
[551] -1.736875e-02 -8.214203e-02 8.401711e-03 8.345859e-02 -2.547394e-01
[556] 1.400092e-01 -5.096672e-01 5.086130e-01 1.058206e-01 -3.191397e-01
[561] -5.411936e-02 -1.326313e-01 4.423890e-01 -1.206607e-01 2.049376e-01
[566] -1.916745e-01 4.278615e-02 7.900097e-02 8.423624e-02 -1.890829e-01
[571] 1.653785e-01 -2.540655e-01 -5.135918e-03 5.747456e-01 -3.222869e-01
[576] -3.775479e-01 2.658671e-01 -9.386822e-02 3.093937e-01 -1.683163e-01
[581] 3.883941e-02 7.402106e-02 -1.887138e-01 7.593997e-01 1.866654e-01
[586] -5.859960e-01 1.135853e-01 -3.703382e-01 5.785768e-01 -1.069478e-01
[591] 3.289304e-01 8.162984e-01 -3.868721e-01 -2.789169e-02 -4.409660e-01
[596] 3.319851e-01 -5.088232e-01 6.647573e-01 -9.660720e-02 -4.388159e-01
[601] -1.731624e-01 -4.080378e-01 3.908587e-01 1.547233e-01 -3.723409e-02
[606] -2.749322e-01 -3.094764e-01 1.815305e-01 6.288608e-01 -7.758467e-02
[611] -5.222486e-02 -3.531390e-01 -3.643102e-01 -6.031665e-02 -6.181219e-02
[616] -1.404663e-01 -4.568076e-01 5.378472e-01 3.182891e-01 6.013059e-01
[621] 7.416522e-02 -7.222290e-02 4.826449e-02 -1.419783e-01 2.074556e-01
[626] 5.737795e-01 -6.293353e-02 -5.662378e-01 4.354798e-01 1.219470e-01
[631] -1.798257e-01 -4.973258e-02 2.507555e-01 -2.675508e-01 4.277806e-02
[636] -2.705628e-01 -1.174639e-01 -1.250649e-01 4.784451e-02 6.976341e-02
[641] 8.192404e-02 -4.433709e-02 3.364344e-01 2.667945e-01 5.359071e-01
[646] 1.144059e-02 3.734996e-01 2.548477e-01 5.902129e-01 4.028601e-01
[651] -5.682170e-01 6.068823e-01 -5.736990e-02 -4.223961e-01 7.271817e-02
[656] 7.600112e-01 2.959239e-01 -1.789484e-01 3.535624e-01 -1.409506e-01
[661] -3.390556e-01 4.630438e-01 2.584965e-01 -1.166654e-01 1.863770e-01
[666] -2.112337e-01 3.263579e-01 -6.109873e-01 -3.843770e-01 -1.441098e-01
[671] 4.171339e-02 -7.829804e-02 1.026584e-02 4.144156e-01 3.201607e-01
[676] 4.342838e-01 -4.488835e-01 -6.526155e-01 -3.093107e-01 -7.599925e-02
[681] -3.037112e-01 -4.063125e-01 -2.626537e-01 4.806265e-01 -1.805095e-01
[686] -1.948364e-01 3.412964e-01 -1.853441e-01 -4.741122e-02 3.976197e-01
[691] 6.111513e-01 1.587920e-01 1.667300e-01 -4.886514e-01 1.967317e-01
[696] 3.826342e-01 -2.993977e-01 -5.928882e-01 -4.386049e-01 -1.204654e-01
[701] -2.731172e-01 -4.846925e-01 -2.149385e-01 3.590286e-02 -1.352213e-01
[706] 1.713124e-01 -3.088705e-01 -3.924568e-01 2.387212e-01 -1.166659e-01
[711] 4.258826e-01 1.687286e-01 8.164852e-02 -8.284432e-02 -1.277465e-01
[716] -9.886139e-02 -4.469996e-01 -1.745222e-01 1.716789e-01 4.358293e-01
[721] 1.817671e-01 -3.876724e-01 -1.595488e-01 4.670832e-01 1.179055e-01
[726] -5.019602e-02 5.185494e-02 4.446308e-01 3.168648e-01 3.423002e-02
[731] -7.027410e-02 4.115162e-01 3.052431e-01 -1.071456e-01 4.571258e-01
[736] -1.143420e-01 -1.859790e-01 1.467530e-01 -4.914299e-01 -1.357029e-01
[741] -2.655158e-01 -1.158857e-01 2.065659e-01 3.466992e-01 6.137400e-01
[746] -5.274553e-01 3.274179e-01 6.462882e-02 -2.581532e-01 -7.409922e-04
[751] 6.629621e-02 -1.061142e-01 3.801564e-01 -2.137729e-01 1.205769e-01
[756] -3.086158e-01 5.504035e-01 1.712720e-01 4.163265e-01 -2.612160e-01
[761] 2.460120e-01 -2.261604e-01 -4.792280e-01 -1.507148e-01 -4.314583e-01
[766] -5.207264e-01 -1.494623e-01 2.421577e-01 -2.912779e-01 -9.275478e-04
[771] -1.101423e-01 -2.133476e-01 4.369599e-01 4.502720e-01 4.363740e-01
[776] 1.628937e-01 -5.545304e-01 9.943589e-02 5.308500e-02 2.773338e-01
[781] -9.522531e-02 7.829555e-01 -5.998609e-01 8.499170e-01 3.966601e-01
[786] 2.132806e-01 1.115837e-01 2.515848e-01 -1.179326e-01 1.665680e-01
[791] -3.020029e-01 4.619408e-01 2.281340e-01 -3.938432e-01 -5.346938e-01
[796] -2.125786e-01 -4.691837e-01 -9.196651e-02 3.029640e-01 4.250295e-01
[801] -9.725900e-02 3.271210e-01 -3.542597e-02 1.377883e-01 2.598538e-01
[806] 1.150549e-01 2.229966e-01 9.761572e-02 3.258690e-01 -1.781830e-01
[811] 3.227768e-01 5.165690e-02 3.983437e-01 3.036899e-01 -1.022893e-01
[816] -2.463494e-01 -3.076793e-01 7.428413e-01 3.925174e-01 -9.218641e-01
[821] 4.255203e-02 1.566940e-01 -6.283550e-01 -1.677276e-02 -2.282896e-01
[826] 5.747177e-01 -1.185651e-01 -1.643351e-01 -2.521538e-01 4.066933e-01
[831] -4.468627e-01 1.851890e-01 -3.415200e-01 3.810740e-01 -3.481175e-01
[836] 8.191420e-02 1.158264e+00 -3.009808e-01 -8.799859e-02 -3.858671e-01
[841] 2.445646e-01 -2.054586e-01 -1.052746e-01 -1.923413e-02 5.647197e-01
[846] 1.305190e-01 -2.839354e-01 7.461949e-02 1.671333e-01 -2.985649e-01
[851] -2.025117e-01 -3.352389e-01 6.918277e-01 -1.528123e-01 -2.484473e-01
[856] -1.048173e-02 -1.265980e-01 6.280760e-02 -2.301163e-01 -2.065162e-01
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[1731] -5.376579e-02 -2.361303e-01 -9.239952e-02 1.305027e-01 1.245127e-01
[1736] -1.947238e-02 2.401935e-01 -1.677423e-01 -1.677919e-02 -9.559840e-02
[1741] -1.493856e-01 1.216683e-01 -3.484527e-01 1.208391e-01 -5.517446e-01
[1746] -4.177773e-01 -1.386531e-01 -1.159929e-01 4.259629e-01 1.952138e-01
[1751] 2.258215e-01 -3.802220e-01 -2.595867e-01 1.496013e-01 1.578729e-01
[1756] 5.537901e-02 3.531678e-02 -2.332326e-02 -8.223502e-02 -7.097070e-02
[1761] 3.867185e-01 1.682863e-02 4.292233e-01 -3.533766e-01 -2.971628e-01
[1766] -1.428853e-01 7.666457e-02 -3.295900e-01 -3.024890e-01 2.902530e-01
[1771] -1.451341e-01 1.043864e-01 8.337188e-02 -2.255582e-01 2.139203e-01
[1776] 1.496354e-01 -1.140496e-01 -4.245341e-02 -4.881577e-01 4.980928e-01
[1781] -4.969307e-01 -4.965975e-01 2.309165e-01 -5.678453e-01 -5.055495e-01
[1786] -2.316359e-01 -1.718264e-01 -2.959576e-02 -1.251534e-01 4.845335e-01
[1791] 7.109184e-02 -9.660530e-02 -1.636145e-01 4.560884e-01 3.050046e-02
[1796] 4.738463e-01 3.778173e-01 -4.587366e-01 -3.501690e-01 1.560803e-01
[1801] 1.360703e-01 -4.162686e-01 1.633469e-01 -1.435244e-01 -2.428262e-01
[1806] -1.289291e-01 -5.813396e-02 2.903551e-02 1.427710e-01 6.266664e-01
[1811] -2.567040e-01 -4.465199e-01 2.935868e-01 -4.694524e-01 1.599165e-01
[1816] 2.182151e-01 3.550517e-02 -4.181256e-01 5.188218e-02 -2.420013e-02
[1821] 5.799218e-01 -1.741162e-01 2.243868e-02 1.915763e-01 -2.378120e-01
[1826] -4.958263e-02 1.327821e-01 2.842811e-01 3.940165e-01 -4.831546e-01
[1831] -1.662963e-01 -6.180503e-01 -2.135684e-01 -1.822061e-02 3.485671e-02
[1836] 1.017315e-01 3.435929e-01 -4.969325e-01 2.675984e-01 4.690080e-01
[1841] -4.374650e-02 2.847389e-01 1.827631e-01 -2.888196e-01 1.975745e-01
[1846] -5.636576e-01 -3.985606e-01 -2.271266e-01 1.054063e-02 2.041102e-01
[1851] 1.304067e-01 -3.076065e-01 2.067823e-01 8.882065e-02 -5.135399e-01
[1856] 1.354841e-01 -2.496733e-02 -4.897041e-01 -5.669184e-01 -3.831241e-01
[1861] -1.997742e-01 -4.379474e-02 1.201692e-01 -3.853772e-01 -5.272974e-01
[1866] -2.598481e-01 -7.199056e-02 2.475766e-01 -5.063205e-01 -1.560908e-01
[1871] 1.969269e-02 6.135583e-02 -4.572658e-01 5.677704e-01 5.745478e-02
[1876] 2.472000e-01 7.809257e-01 -7.316842e-01 8.623729e-02 -6.361219e-02
[1881] 5.284823e-01 6.804027e-01 4.360707e-02 2.312588e-01 3.335574e-01
[1886] -6.669192e-01 -1.987967e-01 2.403729e-01 -1.967089e-01 4.770845e-02
[1891] 1.140634e-01 -1.680009e-01 -1.572286e-01 -7.289012e-02 9.164256e-02
[1896] 1.637854e-01 -9.164887e-02 5.857235e-01 -5.987962e-01 1.307263e-01
[1901] -1.887258e-01 -2.468879e-01 -4.084802e-01 3.612760e-02 3.837776e-02
[1906] 2.785414e-01 1.471211e-02 7.235217e-01 4.726570e-01 5.605331e-02
[1911] 5.051421e-02 -3.615616e-01 4.405969e-01 -7.399515e-02 1.062239e-01
[1916] 2.514410e-01 1.351840e-02 -2.808350e-01 -2.044917e-02 -5.773979e-03
[1921] -7.686390e-02 3.642519e-02 3.425443e-01 -2.475547e-01 3.817255e-01
[1926] -5.548963e-02 1.323867e-01 -1.399563e-01 2.271851e-01 8.499984e-01
[1931] 9.893079e-02 4.659213e-01 -3.463299e-02 6.657398e-02 2.293234e-01
[1936] 2.717896e-01 6.220378e-01 1.702224e-01 5.972697e-01 4.534179e-01
[1941] 6.327238e-02 -1.351997e-01 4.896653e-01 1.793936e-01 -2.491453e-01
[1946] 1.520002e-02 -2.822352e-01 4.907429e-01 1.510831e-01 4.205243e-01
[1951] 2.789492e-01 -1.010325e-01 -1.048572e-01 -4.780076e-02 -3.201456e-01
[1956] 4.468452e-01 2.386057e-01 2.833680e-01 1.236878e-01 1.612950e-01
[1961] -1.739364e-01 7.559212e-02 1.141920e-01 -1.847083e-01 3.543150e-01
[1966] 3.579655e-01 -5.529156e-01 2.739043e-01 -4.378905e-01 3.776823e-01
[1971] 1.638901e-01 5.060201e-01 -2.283515e-01 -1.883129e-02 -2.036842e-01
[1976] 1.199404e-01 1.653280e-01 -2.232057e-01 -7.218196e-02 2.241951e-02
[1981] -9.010241e-01 6.309973e-01 1.303106e-01 -6.469322e-01 -4.627053e-01
[1986] -2.923806e-01 2.535630e-01 -4.475606e-03 -1.304976e-03 6.994567e-02
[1991] 4.679021e-01 -2.160599e-01 5.283238e-01 -2.001026e-01 -5.812800e-02
[1996] 1.147085e-02 1.284755e-01 1.632485e-01 -2.982480e-02 8.634917e-02
[2001] -1.697254e-01 3.468899e-02 -1.671163e-02 4.933060e-01 1.555084e-01
[2006] -1.145025e-01 1.033067e-01 -2.638653e-02 -9.945237e-02 4.138388e-01
[2011] -4.004894e-02 -3.634361e-01 -5.831077e-03 1.234697e-01 3.357268e-01
[2016] 2.757647e-01 -1.384643e-01 1.732142e-01 2.236912e-01 -1.255288e-01
[2021] -8.174001e-02 -9.261065e-01 -8.602633e-02 -3.514258e-01 -2.130616e-01
[2026] 7.127861e-02 -1.255649e-01 -1.337734e-02 8.546451e-02 -2.143683e-01
[2031] -4.043022e-01 -2.466404e-01 -2.520925e-01 5.272927e-01 -3.753253e-01
[2036] 6.624853e-01 3.725187e-01 -1.013827e-01 -4.140322e-02 3.476562e-02
[2041] -1.178572e-01 5.260347e-01 3.480008e-01 -4.882685e-01 -2.527684e-01
[2046] -4.205237e-01 -1.558640e-01 2.639532e-01 1.127120e-01 -1.949020e-01
[2051] 1.061516e-01 -4.719697e-02 2.549582e-01 5.350662e-01 -2.064760e-01
[2056] -5.001926e-01 2.829441e-02 3.499759e-01 3.203254e-01 -3.009634e-01
[2061] -2.110315e-01 -7.206710e-03 2.247419e-01 -7.630651e-02 4.335784e-01
[2066] 4.178429e-01 5.166461e-02 1.257750e-01 -5.656627e-02 -3.198950e-01
[2071] -2.326454e-01 -8.381317e-02 -2.470625e-01 -9.718765e-02 -8.960178e-03
[2076] 1.338846e-01 4.674148e-01 9.557404e-02 -1.925556e-01 -3.167474e-01
[2081] -1.181769e-01 5.445484e-01 4.458001e-01 -1.172391e-01 2.807620e-01
[2086] 3.186113e-01 1.489017e-01 2.118991e-01 9.068608e-02 4.758358e-01
[2091] 1.087135e-01 1.248035e-01 -1.048616e-01 -7.091834e-01 -5.334595e-01
[2096] 6.850870e-02 -2.526509e-01 3.628607e-01 2.215392e-01 -6.722856e-02
[2101] -5.344483e-01 -5.370715e-01 -8.105105e-01 -2.215930e-02 -2.713094e-01
[2106] -1.499785e-01 6.402018e-03 4.322283e-02 1.463537e-01 -2.930683e-01
[2111] -1.004068e+00 -2.053883e-01 -2.174928e-01 3.213054e-01 1.299658e-01
[2116] 1.945834e-01 -2.131218e-01 -7.399917e-02 2.275874e-03 1.384728e-01
[2121] 4.473775e-01 1.213692e-01 -2.403622e-01 2.340982e-01 -6.303243e-01
[2126] 6.233531e-01 6.068423e-02 -6.816802e-01 -3.452077e-01 6.689567e-01
[2131] 8.116743e-02 1.102047e-01 2.062974e-01 4.949973e-03 -2.471872e-01
[2136] -5.142031e-01 6.427202e-02 2.457576e-01 -2.522295e-01 -4.351249e-01
[2141] -1.547308e-01 -7.601170e-02 7.648295e-01 8.327161e-02 -2.880008e-01
[2146] -1.819768e-01 7.438512e-02 -1.340652e-01 1.933367e-01 -3.246701e-01
[2151] 1.466183e-01 3.523518e-01 -9.638605e-02 2.596249e-01 -2.381572e-01
[2156] 2.533900e-01 -8.968200e-02 5.492062e-02 -1.638031e-01 7.871687e-02
[2161] -7.522555e-01 6.660596e-01 -3.676841e-02 -4.293065e-02 -1.124360e-01
[2166] -5.436645e-02 -1.466160e-01 3.286703e-01 -1.990768e-01 2.396633e-01
[2171] 4.616131e-01 1.749390e-01 3.313188e-01 8.282933e-01 -4.694485e-01
[2176] 1.328868e-01 1.146563e-01 7.020422e-02 -4.894036e-02 -1.847357e-01
[2181] 4.648297e-02 1.407840e-01 3.103053e-01 5.789803e-02 -1.410797e-01
[2186] -2.939700e-01 1.285911e-01 7.694074e-02 -4.878311e-03 9.124985e-03
[2191] -1.263008e-01 2.125486e-02 -5.718245e-02 -4.070560e-01 -9.523649e-02
[2196] 6.191416e-01 2.913913e-01 -3.867094e-02 -2.902492e-01 4.856967e-01
[2201] 3.115224e-01 -2.426651e-01 5.430286e-03 2.637158e-01 1.291652e-01
[2206] 1.273343e-01 -4.595496e-01 -6.154333e-02 6.145713e-02 3.408196e-01
[2211] 2.931262e-01 5.565033e-01 1.500434e-01 1.891719e-01 -2.593873e-01
[2216] -2.446194e-01 5.955484e-02 -2.224489e-01 1.733647e-01 4.482114e-01
[2221] -2.137708e-01 1.185023e-01 2.026126e-02 9.504233e-02 1.628134e-01
[2226] -2.232980e-01 -1.236502e-01 4.389401e-01 -2.270524e-01 -1.441943e-01
[2231] 1.180181e-01 -2.569446e-01 -8.606124e-03 4.147466e-01 1.386562e-01
[2236] 7.548334e-01 1.744710e-02 -2.241659e-01 3.508173e-01 -1.731231e-01
[2241] -5.273851e-01 2.104184e-01 -1.802039e-01 -3.807753e-01 -2.893682e-01
[2246] -1.686265e-01 3.647654e-01 4.467417e-01 -1.020298e-01 3.180691e-02
[2251] 4.700289e-01 1.108282e-01 1.686251e-01 -1.729239e-01 -1.459317e-02
[2256] 6.311690e-01 1.460721e-01 -2.489753e-01 2.762190e-01 3.010947e-01
[2261] -5.208507e-01 -3.070314e-01 1.888107e-01 -4.526725e-01 1.029217e-01
[2266] 6.727937e-02 -3.522982e-01 3.514025e-01 -4.371148e-01 7.711554e-02
[2271] 4.259499e-02 -1.673823e-01 3.264269e-01 2.027807e-02 2.657825e-01
[2276] -1.991004e-01 -3.961354e-01 -2.562719e-01 -1.087277e-01 6.137376e-01
[2281] 6.001070e-01 -1.996660e-01 -1.876637e-01 -4.436387e-02 -5.959789e-01
[2286] -3.486014e-01 1.704105e-01 -4.526504e-01 -1.756227e-01 3.021168e-01
[2291] 5.623339e-01 -1.053245e-01 -3.027284e-02 5.159079e-02 1.557151e-01
[2296] 1.462092e-01 5.326929e-01 6.359403e-01 3.104667e-01 -3.296405e-03
[2301] -3.083876e-01 2.846528e-01 4.287111e-01 -7.418511e-02 8.278337e-01
[2306] -3.525943e-01 2.314207e-01 5.817466e-01 -1.486824e-01 -3.648930e-02
[2311] 1.849114e-01 6.890970e-02 -5.820050e-02 8.662383e-02 -3.241756e-01
[2316] -8.401066e-02 -1.139167e-01 -6.108205e-01 -2.462530e-01 -1.200164e-01
[2321] -3.000445e-01 2.106534e-01 -5.872883e-01 9.065869e-01 8.258143e-01
[2326] 1.331903e-01 2.746980e-01 -1.014404e-01 1.108740e-03 3.365771e-01
[2331] -1.386664e-01 4.137857e-02 1.736545e-01 1.651234e-01 -3.146549e-01
[2336] 2.372611e-02 6.435450e-01 -1.409290e-01 -9.055399e-02 -4.375570e-01
[2341] -1.173601e-01 3.187251e-01 2.766502e-02 -3.489089e-01 -1.325327e-01
[2346] -1.293566e-01 -1.507791e-01 6.249060e-01 7.747581e-02 6.536307e-01
[2351] -7.910312e-02 2.264749e-02 1.014266e-01 1.565536e-01 5.873661e-02
[2356] -3.379387e-01 -3.806494e-01 -1.747052e-01 8.219442e-01 -2.409763e-01
[2361] -3.349082e-01 -5.869441e-01 -2.295243e-01 -2.924206e-02 -4.138974e-01
[2366] -2.249024e-01 4.437522e-01 9.304705e-02 -5.033244e-02 -5.200726e-02
[2371] -3.912885e-01 6.553631e-01 1.068907e-01 1.537223e-01 -1.683489e-01
[2376] 1.718072e-01 -1.110411e-01 -1.429120e-01 -4.476105e-01 4.335606e-01
[2381] 3.200342e-01 -9.048186e-02 -4.269296e-01 -6.920416e-01 -1.311999e-01
[2386] -9.549798e-01 6.503164e-02 -3.702713e-01 1.737910e-01 -6.454104e-01
[2391] -4.939991e-01 -3.324242e-01 8.954696e-02 -1.406014e-01 -2.384787e-01
[2396] 2.789515e-01 3.698710e-01 -4.131454e-01 -1.097551e-01 2.489372e-01
[2401] -6.265495e-03 1.977663e-01 -6.082340e-01 -1.776537e-01 -2.464626e-01
[2406] 2.569087e-01 3.031517e-01 1.608622e-01 -3.632913e-01 5.127009e-01
[2411] -1.356487e-02 2.995532e-01 -5.201785e-01 -5.502927e-01 -3.550150e-03
[2416] -2.555762e-02 -2.245627e-01 -1.546219e-01 -4.686748e-02 2.201403e-01
[2421] -1.227808e-02 3.092771e-01 -4.155976e-01 -6.059233e-01 -3.590632e-01
[2426] 3.441469e-01 -1.015073e+00 -1.356601e-01 1.922739e-01 3.681942e-03
[2431] 5.906858e-02 -1.486606e-02 3.682742e-01 -3.177967e-01 -1.678580e-01
[2436] -2.300832e-04 6.228752e-01 -3.619008e-01 -8.659739e-02 2.948300e-01
[2441] 3.068431e-01 3.844201e-02 3.976931e-01 -3.102221e-01 -2.650513e-01
[2446] 4.320554e-01 1.632189e-02 -3.248784e-01 -9.630132e-03 3.741979e-01
[2451] 1.887689e-01 1.760773e-02 -7.997007e-02 5.909547e-01 -1.300332e-01
[2456] 1.718301e-01 -7.901079e-01 -1.781985e-01 -5.802674e-01 -3.037362e-01
[2461] -1.172594e-01 -1.743878e-01 -1.457204e-01 5.545245e-02 8.595204e-02
[2466] -9.811069e-02 7.149664e-02 -3.177051e-01 5.267658e-02 9.538333e-02
[2471] 1.766973e-01 -2.649086e-01 4.575096e-01 -5.416698e-02 -3.917551e-01
[2476] -3.663464e-01 -2.279011e-01 2.828194e-01 4.708281e-02 -4.413191e-01
[2481] 2.248595e-01 -2.415211e-01 2.374217e-01 2.357066e-01 -2.009889e-01
[2486] -3.559587e-01 1.788888e-01 -5.854129e-01 -1.329393e-02 1.888674e-01
[2491] 3.314240e-01 2.207269e-01 -1.566624e-01 -8.632133e-02 4.272349e-01
[2496] 2.173948e-01 -4.475357e-01 2.362821e-01 2.330285e-01 -2.754620e-01
[2501] 5.506923e-02 2.926407e-01 1.094309e-01 2.025362e-01 -2.446848e-02
[2506] -9.472119e-02 8.191340e-01 2.601956e-01 -1.333153e-02 4.986749e-01
[2511] 3.339751e-01 -3.249893e-01 2.268861e-01 -2.707709e-01 6.699818e-01
[2516] -3.646371e-01 -4.882805e-01 2.034539e-01 -6.759318e-01 -1.241030e-01
[2521] 1.579559e-01 -2.371262e-01 -2.391180e-01 3.591872e-01 3.677507e-01
[2526] 3.462066e-02 3.438450e-01 -4.993272e-01 -1.821439e-01 3.460417e-01
[2531] 1.956360e-01 2.323638e-01 -1.018627e-01 -2.037565e-01 -4.343340e-01
[2536] 3.340937e-01 -6.057263e-02 -2.388126e-01 -5.321827e-02 2.443349e-01
[2541] 6.233425e-01 -8.439541e-01 2.898685e-01 8.088574e-01 -8.609839e-01
[2546] -1.152393e+00 2.037643e-02 -1.099283e-01 4.018241e-01 -4.521599e-01
[2551] -5.569018e-01 -5.328755e-01 2.857174e-01 -6.005043e-01 -2.325490e-01
[2556] 1.803974e-02 3.562866e-01 -1.503612e-01 5.031088e-01 3.045756e-01
[2561] 5.363299e-04 -2.270609e-01 -4.312090e-01 3.240971e-01 -4.602046e-02
[2566] 3.038340e-01 2.006089e-01 5.116734e-01 -1.692362e-02 -3.635955e-01
[2571] 1.830276e-02 3.720358e-01 -3.598726e-01 2.076008e-01 -2.606085e-01
[2576] -4.625939e-01 2.051500e-01 -2.346250e-01 -5.096220e-01 -3.691834e-01
[2581] 2.054301e-01 -5.823668e-02 -1.540445e-01 -6.813005e-03 -1.368137e-02
[2586] 2.029594e-01 -2.618096e-01 -7.546731e-01 -2.486016e-01 -3.668423e-01
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[19751] 5.433928e-01 2.778323e-01 -7.751941e-01 7.470423e-02 9.816897e-02
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[19761] -6.789075e-02 3.001208e-01 -4.247589e-01 3.470969e-01 -2.145815e-01
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[19846] -2.250101e-01 5.158616e-01 -5.894675e-02 9.840043e-01 4.024203e-01
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[19876] -2.258216e-01 5.385192e-02 -6.941872e-02 6.607855e-01 2.051488e-01
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[19886] -3.704402e-01 -5.776276e-01 3.895120e-01 -2.980864e-03 3.580677e-01
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[19896] -1.812425e-01 3.764455e-01 1.796250e-02 -1.385330e-01 5.382725e-01
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[63191] -5.726347e-01 3.674398e-01 3.570685e-01 -1.400087e-02 3.404697e-01
[63196] 2.085248e-01 -1.157104e-01 -1.132491e-02 6.070426e-02 1.060771e-01
[63201] -5.346619e-01 9.600650e-02 -2.158665e-01 4.650388e-01 1.451652e-01
[63206] -1.617733e-02 -3.179959e-01 4.346200e-01 -9.287660e-02 2.478781e-01
[63211] -1.824491e-01 -6.755247e-02 4.687184e-01 -1.524603e-01 -4.118725e-01
[63216] -1.564545e-01 -2.228046e-02 2.193182e-01 -8.448515e-03 -3.093412e-01
[63221] -2.955568e-02 -3.856426e-01 3.176803e-01 -1.017588e-01 -1.518382e-01
[63226] 3.124487e-01 3.509729e-01 -5.134775e-02 4.017853e-01 -5.004046e-01
[63231] -2.783422e-01 -1.823975e-01 -1.167510e-01 3.467568e-01 6.942889e-02
[63236] 3.163005e-01 -2.197043e-01 -3.318678e-01 -4.918739e-01 4.004485e-01
[63241] 1.862992e-01 -2.436478e-01 -1.110143e-01 -1.943760e-02 2.123900e-01
[63246] -2.099748e-02 1.496943e-01 1.066516e-01 1.439724e-01 1.392346e-02
[63251] -2.179283e-01 -3.005051e-01 3.545523e-01 -6.659950e-02 2.712205e-01
[63256] -1.154209e-01 6.359557e-02 6.312561e-01 -2.709302e-01 -6.012526e-02
[63261] 4.272350e-01 8.278718e-02 -6.554502e-02 5.052849e-02 -1.746766e-01
[63266] -1.971442e-01 7.001736e-01 -3.520100e-02 -1.930365e-01 -1.030578e-02
[63271] 5.974246e-01 -1.426217e-01 5.448962e-01 -3.528646e-01 2.697555e-01
[63276] 9.829378e-01 4.488150e-01 -2.021129e-01 2.818792e-01 8.727971e-02
[63281] 3.841688e-01 -4.293068e-02 -3.274895e-01 -1.965009e-01 1.604630e-01
[63286] 6.827145e-02 -4.685820e-01 -1.409972e-02 2.563842e-01 5.064323e-01
[63291] -8.092
UnivRNG documentation built on March 6, 2021, 1:08 a.m.
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Description Usage Arguments Value References Examples
View source: R/draw.von.mises.R
Description
This function implements pseudo-random number generation for a Von Mises distribution with pdf
f(x|K)=\frac{1}{2π I_{0}(K)}e^{Kcos(x)}
for -π ≤q x ≤q π and K > 0 where I_{0}(K) is a modified Bessel function of the first kind of order 0.
Usage
1 | draw.von.mises(nrep,K)
|
Arguments
nrep |
Number of data points to generate. |
K |
Parameter of the desired von Mises distribution. |
Value
A list of length three containing generated data, the theoretical mean, and the empirical mean with names y, theo.mean, and emp.mean, respectively.
References
Best, D. J., & Fisher, N. I. (1979). Efficient simulation of the von mises distribution. Applied Statistics, 28, 152-157.
Examples
1 2 3 | draw.von.mises(nrep=100000,K=10)
draw.von.mises(nrep=100000,K=0.5)
|
Example output
$y
[1] 3.549454e-01 -4.653905e-01 2.318165e-02 4.370110e-01 2.470118e-01
[6] 6.557511e-02 2.443672e-01 -1.978957e-01 1.492322e-01 -5.027722e-02
[11] 3.583325e-01 -1.956659e-01 5.891477e-01 -4.935417e-01 -7.492586e-01
[16] -2.126366e-01 5.518764e-01 2.080262e-01 5.441453e-01 -9.977271e-02
[21] -2.538444e-01 -1.881498e-01 7.734334e-02 -3.616340e-02 -5.280204e-01
[26] 5.218820e-02 -7.393054e-02 5.155077e-01 5.639884e-01 -5.462185e-02
[31] 1.007489e+00 1.749700e-01 3.482226e-01 5.540185e-02 -1.384838e-01
[36] 1.463946e-02 -3.735519e-01 3.054046e-01 -1.013565e+00 -1.732142e-01
[41] 7.352061e-01 -3.333980e-01 -5.792424e-02 -4.348046e-01 -4.962403e-01
[46] -5.066829e-01 -1.796566e-01 -4.783043e-01 4.730212e-01 -5.966651e-01
[51] 2.716376e-01 2.504600e-02 -2.862991e-01 6.044222e-01 5.678166e-01
[56] 5.485834e-01 3.011914e-01 3.968077e-01 4.345049e-01 5.864716e-01
[61] -1.036548e-01 -3.018172e-01 2.261195e-01 -1.285688e-01 -1.053088e-01
[66] -9.132137e-02 2.406042e-01 2.864144e-01 -2.066849e-01 -1.856536e-01
[71] -4.110353e-01 3.210647e-01 1.366635e-01 1.420532e-01 -5.776030e-02
[76] 7.106535e-01 2.786060e-01 1.121646e-01 4.598050e-01 2.842515e-01
[81] 2.361462e-01 1.078425e+00 2.398389e-01 -2.268041e-01 3.522712e-01
[86] -1.415155e-01 -2.309161e-01 4.250525e-01 -7.913856e-01 6.317862e-02
[91] 2.037197e-01 -5.657653e-02 -9.641142e-02 9.592300e-03 2.351239e-01
[96] -7.036444e-01 1.997731e-02 -1.649558e-01 3.178661e-01 -1.685230e-02
[101] 2.269317e-01 7.883347e-02 -6.098436e-01 -1.160228e-01 -9.969356e-02
[106] -6.297760e-02 8.784171e-02 6.738826e-02 8.868332e-02 1.277718e-01
[111] 4.892147e-01 4.603069e-01 8.342437e-02 5.031814e-01 5.127348e-02
[116] -3.700829e-01 -3.316457e-01 2.389369e-01 -5.490417e-01 -5.937551e-01
[121] 8.701810e-01 1.826511e-01 -2.407416e-01 1.476267e-01 -1.655426e-01
[126] 2.555294e-01 1.510742e-01 -2.889879e-01 -9.057579e-02 -6.479556e-02
[131] -2.831867e-02 2.362132e-01 -6.014084e-01 2.990087e-01 -3.136172e-01
[136] 8.989458e-02 7.671886e-01 -4.978900e-01 6.509334e-01 2.199882e-01
[141] -2.488848e-01 3.587553e-01 -8.587480e-02 1.774604e-01 2.760696e-01
[146] -2.889552e-01 1.841733e-01 -3.603017e-01 -1.477842e-01 5.921645e-02
[151] 5.748899e-01 -9.787479e-02 -4.468158e-01 -8.616316e-03 3.216031e-01
[156] 2.180492e-01 1.273997e-01 2.721052e-01 1.891164e-01 -1.417055e-01
[161] 1.047648e-01 2.975298e-01 4.206892e-01 3.343726e-02 1.560019e-01
[166] -1.953036e-01 -1.548683e-01 1.423579e-01 -9.592511e-02 2.957905e-01
[171] 2.882601e-01 1.408501e-01 4.494789e-01 -2.991661e-03 -1.228179e-01
[176] 1.733024e-01 4.671646e-01 1.661467e-01 -2.531400e-01 -2.573139e-02
[181] 4.839442e-01 1.898510e-02 -2.461583e-02 -4.663035e-02 -8.552873e-02
[186] 6.448595e-02 5.515545e-01 9.350414e-02 8.597491e-02 1.157263e-01
[191] 3.737363e-01 -3.340889e-02 5.815569e-01 3.778167e-01 -2.038333e-01
[196] 2.959410e-01 -1.521638e-01 -1.756787e-01 -1.540512e-01 1.361102e-01
[201] -1.965096e-01 -2.153169e-01 5.143788e-01 2.847649e-01 -3.394640e-01
[206] -1.636783e-01 2.510364e-01 4.080701e-01 1.046444e-01 -1.467464e-01
[211] 6.912707e-01 1.252800e-01 -2.357204e-02 2.743679e-01 -4.859059e-02
[216] 2.885635e-01 1.031243e-01 -1.391250e-01 3.097643e-01 -1.344025e-03
[221] 2.909214e-01 -1.062012e-01 4.075325e-01 4.015103e-01 -7.581177e-01
[226] 2.845110e-01 6.270242e-01 -1.322881e-01 1.576811e-01 -1.897910e-01
[231] -1.656156e-02 -3.223940e-01 5.608049e-01 1.298832e-01 1.320482e-01
[236] -7.338824e-02 6.521077e-01 2.980221e-01 1.729161e-01 1.674541e-01
[241] 6.059535e-01 4.273848e-01 -4.762224e-01 2.812451e-01 -1.017815e-01
[246] -2.274366e-01 1.163142e-01 -6.084200e-01 5.293518e-01 2.865429e-02
[251] 1.266211e-01 1.895046e-01 8.796652e-01 1.669149e-01 -6.989650e-01
[256] -5.748372e-01 2.768031e-01 1.965028e-01 -2.358156e-02 -3.564663e-01
[261] -6.268609e-02 -1.866301e-01 -7.684675e-02 -2.308827e-01 -1.886620e-02
[266] -2.660861e-01 2.782952e-01 -1.804384e-01 4.838625e-02 7.616426e-03
[271] 2.572785e-01 8.944214e-03 -3.973116e-01 2.870972e-01 4.605536e-01
[276] -1.219680e-01 3.312307e-01 -2.607409e-02 -9.230380e-02 -3.145244e-01
[281] 3.325354e-01 -2.937298e-01 2.632065e-01 -4.819295e-01 1.876625e-01
[286] 4.779316e-02 -5.247567e-02 -8.072168e-01 2.704335e-01 -8.594453e-02
[291] 2.033323e-01 2.067364e-01 -1.508155e-01 -5.473470e-03 2.955104e-01
[296] 3.448656e-02 5.164564e-01 -6.795512e-01 5.800003e-01 8.457333e-02
[301] 6.098318e-01 2.962405e-01 -3.884415e-02 -3.054685e-01 1.905168e-01
[306] -9.379361e-02 3.209852e-01 -1.173012e-01 8.233684e-03 -4.788273e-01
[311] -1.132170e-01 1.670475e-02 -3.769847e-01 -1.109540e-01 -1.000759e-01
[316] 1.719057e-01 -7.363672e-02 -1.747873e-01 1.416087e-01 -8.993216e-04
[321] -5.590541e-02 -2.518102e-02 -2.290551e-01 -1.211388e-01 -5.504937e-01
[326] -3.338833e-01 3.697586e-01 -4.190592e-02 4.695116e-02 -1.833557e-01
[331] 7.450475e-02 4.540293e-01 -5.571679e-01 9.039756e-02 5.288307e-01
[336] -2.761720e-01 -2.127091e-01 -4.713041e-01 -2.143670e-01 1.156009e-01
[341] 1.538883e-01 5.893587e-01 -8.308954e-02 -2.974438e-02 1.072468e+00
[346] -3.993229e-02 -6.109512e-01 3.440753e-01 7.426372e-01 3.675594e-01
[351] 9.664566e-02 9.291102e-02 -3.404625e-01 3.516263e-01 -4.042228e-01
[356] -1.140421e-01 9.225134e-03 -2.468330e-01 -2.907184e-01 1.444423e-01
[361] 2.286959e-01 3.801662e-02 8.334267e-01 6.158932e-01 -1.407716e-01
[366] -1.826232e-01 1.334204e-01 -1.870765e-01 -3.865404e-01 -1.542250e-01
[371] 1.912610e-01 1.165624e-01 3.397215e-02 4.917110e-01 3.274364e-01
[376] 2.638968e-01 -1.116417e-01 4.182202e-01 -1.595027e-01 -5.765006e-01
[381] -2.197740e-01 1.389801e-01 -3.468790e-01 -2.686148e-01 -1.260019e-01
[386] -5.287287e-01 4.668998e-01 4.972399e-02 2.299617e-01 3.768582e-01
[391] 5.602968e-02 2.765991e-01 -6.138484e-02 -1.334252e-01 2.926398e-02
[396] -1.854266e-01 -4.870411e-01 -4.158343e-01 6.344997e-02 1.869077e-02
[401] 2.940895e-02 -3.047615e-02 -1.392274e-01 3.197484e-01 -5.021060e-01
[406] 3.527793e-01 3.965412e-01 -7.136383e-02 -2.677687e-02 3.015931e-01
[411] -4.958305e-02 -8.701691e-02 3.110059e-01 -3.941579e-01 -2.833748e-01
[416] -1.208305e-01 -7.259216e-02 1.013130e+00 -7.324670e-01 3.755850e-02
[421] 7.882140e-02 3.978647e-01 1.884764e-02 1.044890e-01 -6.562633e-01
[426] 3.911620e-01 -4.368570e-01 -5.410901e-01 1.826181e-01 6.131301e-02
[431] -6.000957e-04 -1.007510e-01 -4.496309e-01 -7.541346e-02 -1.275186e-01
[436] -2.589551e-01 3.454777e-01 1.243611e-01 1.796585e-01 1.171650e-01
[441] 2.488389e-01 3.698844e-01 5.374445e-02 -2.014655e-01 -1.017320e-01
[446] 1.025540e-01 1.032395e-01 1.099331e-02 3.515164e-01 3.464637e-02
[451] -1.663937e-01 1.413540e-01 -7.153392e-01 -7.120156e-02 1.695078e-01
[456] 6.395316e-02 -3.259496e-01 1.359127e-01 -3.002888e-01 -3.301747e-01
[461] -3.189215e-02 2.894804e-01 -3.521401e-03 6.848767e-01 1.985116e-01
[466] -3.205589e-01 -6.821075e-02 -1.139896e-01 -3.781871e-01 6.714008e-01
[471] -4.651205e-02 7.534311e-02 -5.148482e-01 -5.251610e-01 2.129110e-01
[476] -4.398568e-01 -1.680184e-01 4.651617e-01 1.218721e-01 -7.424851e-02
[481] 3.725463e-01 2.098123e-01 -5.185134e-01 -2.748206e-01 -1.888959e-01
[486] 1.024194e-01 -5.639030e-01 -3.745890e-01 -3.502104e-01 2.522135e-01
[491] -3.360265e-02 -3.694474e-02 9.381764e-01 -6.773949e-02 4.437365e-02
[496] -2.022090e-01 3.249078e-01 -1.989769e-01 -1.022546e-01 3.985591e-01
[501] 8.803276e-02 -1.760662e-01 2.230084e-01 1.134595e-01 -1.409253e-01
[506] -1.780529e-01 -1.745441e-01 3.562477e-01 -4.466532e-03 -1.530057e-01
[511] 9.143057e-03 -2.250740e-01 -2.951676e-01 -1.995217e-01 4.629302e-02
[516] -2.254558e-01 5.281877e-01 -5.295661e-02 1.469035e-01 2.366154e-01
[521] 5.263282e-01 1.553106e-01 1.221593e-02 -2.003587e-01 5.408125e-01
[526] -2.390813e-02 3.317706e-01 -2.179235e-01 2.650492e-01 -2.649889e-01
[531] -8.431727e-02 -1.101870e-01 1.091473e-01 -7.888156e-02 1.962666e-02
[536] -2.563912e-01 -3.261152e-01 5.278388e-01 -3.727823e-01 2.266569e-02
[541] -1.807523e-01 2.666721e-02 -6.409905e-02 6.574889e-01 2.826672e-01
[546] -4.486149e-02 1.363733e-01 -3.609510e-01 -2.295602e-01 -9.098969e-02
[551] -1.736875e-02 -8.214203e-02 8.401711e-03 8.345859e-02 -2.547394e-01
[556] 1.400092e-01 -5.096672e-01 5.086130e-01 1.058206e-01 -3.191397e-01
[561] -5.411936e-02 -1.326313e-01 4.423890e-01 -1.206607e-01 2.049376e-01
[566] -1.916745e-01 4.278615e-02 7.900097e-02 8.423624e-02 -1.890829e-01
[571] 1.653785e-01 -2.540655e-01 -5.135918e-03 5.747456e-01 -3.222869e-01
[576] -3.775479e-01 2.658671e-01 -9.386822e-02 3.093937e-01 -1.683163e-01
[581] 3.883941e-02 7.402106e-02 -1.887138e-01 7.593997e-01 1.866654e-01
[586] -5.859960e-01 1.135853e-01 -3.703382e-01 5.785768e-01 -1.069478e-01
[591] 3.289304e-01 8.162984e-01 -3.868721e-01 -2.789169e-02 -4.409660e-01
[596] 3.319851e-01 -5.088232e-01 6.647573e-01 -9.660720e-02 -4.388159e-01
[601] -1.731624e-01 -4.080378e-01 3.908587e-01 1.547233e-01 -3.723409e-02
[606] -2.749322e-01 -3.094764e-01 1.815305e-01 6.288608e-01 -7.758467e-02
[611] -5.222486e-02 -3.531390e-01 -3.643102e-01 -6.031665e-02 -6.181219e-02
[616] -1.404663e-01 -4.568076e-01 5.378472e-01 3.182891e-01 6.013059e-01
[621] 7.416522e-02 -7.222290e-02 4.826449e-02 -1.419783e-01 2.074556e-01
[626] 5.737795e-01 -6.293353e-02 -5.662378e-01 4.354798e-01 1.219470e-01
[631] -1.798257e-01 -4.973258e-02 2.507555e-01 -2.675508e-01 4.277806e-02
[636] -2.705628e-01 -1.174639e-01 -1.250649e-01 4.784451e-02 6.976341e-02
[641] 8.192404e-02 -4.433709e-02 3.364344e-01 2.667945e-01 5.359071e-01
[646] 1.144059e-02 3.734996e-01 2.548477e-01 5.902129e-01 4.028601e-01
[651] -5.682170e-01 6.068823e-01 -5.736990e-02 -4.223961e-01 7.271817e-02
[656] 7.600112e-01 2.959239e-01 -1.789484e-01 3.535624e-01 -1.409506e-01
[661] -3.390556e-01 4.630438e-01 2.584965e-01 -1.166654e-01 1.863770e-01
[666] -2.112337e-01 3.263579e-01 -6.109873e-01 -3.843770e-01 -1.441098e-01
[671] 4.171339e-02 -7.829804e-02 1.026584e-02 4.144156e-01 3.201607e-01
[676] 4.342838e-01 -4.488835e-01 -6.526155e-01 -3.093107e-01 -7.599925e-02
[681] -3.037112e-01 -4.063125e-01 -2.626537e-01 4.806265e-01 -1.805095e-01
[686] -1.948364e-01 3.412964e-01 -1.853441e-01 -4.741122e-02 3.976197e-01
[691] 6.111513e-01 1.587920e-01 1.667300e-01 -4.886514e-01 1.967317e-01
[696] 3.826342e-01 -2.993977e-01 -5.928882e-01 -4.386049e-01 -1.204654e-01
[701] -2.731172e-01 -4.846925e-01 -2.149385e-01 3.590286e-02 -1.352213e-01
[706] 1.713124e-01 -3.088705e-01 -3.924568e-01 2.387212e-01 -1.166659e-01
[711] 4.258826e-01 1.687286e-01 8.164852e-02 -8.284432e-02 -1.277465e-01
[716] -9.886139e-02 -4.469996e-01 -1.745222e-01 1.716789e-01 4.358293e-01
[721] 1.817671e-01 -3.876724e-01 -1.595488e-01 4.670832e-01 1.179055e-01
[726] -5.019602e-02 5.185494e-02 4.446308e-01 3.168648e-01 3.423002e-02
[731] -7.027410e-02 4.115162e-01 3.052431e-01 -1.071456e-01 4.571258e-01
[736] -1.143420e-01 -1.859790e-01 1.467530e-01 -4.914299e-01 -1.357029e-01
[741] -2.655158e-01 -1.158857e-01 2.065659e-01 3.466992e-01 6.137400e-01
[746] -5.274553e-01 3.274179e-01 6.462882e-02 -2.581532e-01 -7.409922e-04
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[1621] 2.655183e-01 1.691578e-01 1.340230e-01 -3.000256e-02 -1.510387e-01
[1626] 4.230420e-01 1.263353e-01 -2.780205e-01 -2.999869e-01 5.626270e-01
[1631] 1.537107e-02 -3.093778e-03 3.737098e-02 -3.828248e-01 2.474329e-01
[1636] 2.599322e-01 1.407781e-01 -2.040542e-01 -3.271420e-01 1.529023e-01
[1641] 2.481344e-01 4.644951e-01 -4.695723e-01 -3.124502e-01 -2.731285e-01
[1646] 2.360447e-01 3.647384e-01 7.885637e-02 1.639697e-01 5.642260e-01
[1651] -5.092941e-01 2.077339e-01 -2.551526e-01 -4.222466e-02 2.519837e-04
[1656] 1.941592e-01 5.231555e-01 3.520302e-01 3.903078e-01 -5.022035e-02
[1661] -9.872708e-02 -1.648031e-01 -1.680767e-01 3.424940e-02 -6.728458e-01
[1666] -3.042808e-01 3.352533e-01 -1.493790e-01 1.591105e-01 2.393218e-01
[1671] -4.990528e-01 -2.492652e-01 4.019662e-01 2.191047e-02 6.934636e-01
[1676] 4.751548e-01 1.205018e-01 -1.609697e-01 -5.174229e-01 -1.049258e-01
[1681] -1.231790e-01 2.321490e-01 -1.480779e-01 4.578979e-01 -2.776813e-01
[1686] 6.490216e-02 4.016652e-01 7.305972e-02 -4.999117e-01 1.401668e-02
[1691] 4.482620e-01 -3.262813e-02 3.328821e-01 -2.834507e-02 6.086531e-02
[1696] 4.763454e-01 -4.836426e-01 2.651256e-01 -4.997792e-01 9.873268e-02
[1701] -6.400129e-03 -5.044189e-02 -4.882333e-01 -2.951382e-01 4.206632e-01
[1706] 2.931748e-01 2.376294e-01 -4.187638e-01 -8.886531e-01 -3.794445e-01
[1711] 2.211204e-02 8.895302e-02 -3.546389e-01 -4.463689e-02 9.104863e-02
[1716] -9.176662e-02 3.549691e-02 -4.966716e-01 7.217448e-01 2.022993e-02
[1721] -6.223865e-01 -4.669745e-01 -4.723898e-03 -8.535203e-02 -2.744621e-01
[1726] 3.446411e-02 -2.446510e-01 5.770693e-02 1.226983e-01 9.043013e-02
[1731] -5.376579e-02 -2.361303e-01 -9.239952e-02 1.305027e-01 1.245127e-01
[1736] -1.947238e-02 2.401935e-01 -1.677423e-01 -1.677919e-02 -9.559840e-02
[1741] -1.493856e-01 1.216683e-01 -3.484527e-01 1.208391e-01 -5.517446e-01
[1746] -4.177773e-01 -1.386531e-01 -1.159929e-01 4.259629e-01 1.952138e-01
[1751] 2.258215e-01 -3.802220e-01 -2.595867e-01 1.496013e-01 1.578729e-01
[1756] 5.537901e-02 3.531678e-02 -2.332326e-02 -8.223502e-02 -7.097070e-02
[1761] 3.867185e-01 1.682863e-02 4.292233e-01 -3.533766e-01 -2.971628e-01
[1766] -1.428853e-01 7.666457e-02 -3.295900e-01 -3.024890e-01 2.902530e-01
[1771] -1.451341e-01 1.043864e-01 8.337188e-02 -2.255582e-01 2.139203e-01
[1776] 1.496354e-01 -1.140496e-01 -4.245341e-02 -4.881577e-01 4.980928e-01
[1781] -4.969307e-01 -4.965975e-01 2.309165e-01 -5.678453e-01 -5.055495e-01
[1786] -2.316359e-01 -1.718264e-01 -2.959576e-02 -1.251534e-01 4.845335e-01
[1791] 7.109184e-02 -9.660530e-02 -1.636145e-01 4.560884e-01 3.050046e-02
[1796] 4.738463e-01 3.778173e-01 -4.587366e-01 -3.501690e-01 1.560803e-01
[1801] 1.360703e-01 -4.162686e-01 1.633469e-01 -1.435244e-01 -2.428262e-01
[1806] -1.289291e-01 -5.813396e-02 2.903551e-02 1.427710e-01 6.266664e-01
[1811] -2.567040e-01 -4.465199e-01 2.935868e-01 -4.694524e-01 1.599165e-01
[1816] 2.182151e-01 3.550517e-02 -4.181256e-01 5.188218e-02 -2.420013e-02
[1821] 5.799218e-01 -1.741162e-01 2.243868e-02 1.915763e-01 -2.378120e-01
[1826] -4.958263e-02 1.327821e-01 2.842811e-01 3.940165e-01 -4.831546e-01
[1831] -1.662963e-01 -6.180503e-01 -2.135684e-01 -1.822061e-02 3.485671e-02
[1836] 1.017315e-01 3.435929e-01 -4.969325e-01 2.675984e-01 4.690080e-01
[1841] -4.374650e-02 2.847389e-01 1.827631e-01 -2.888196e-01 1.975745e-01
[1846] -5.636576e-01 -3.985606e-01 -2.271266e-01 1.054063e-02 2.041102e-01
[1851] 1.304067e-01 -3.076065e-01 2.067823e-01 8.882065e-02 -5.135399e-01
[1856] 1.354841e-01 -2.496733e-02 -4.897041e-01 -5.669184e-01 -3.831241e-01
[1861] -1.997742e-01 -4.379474e-02 1.201692e-01 -3.853772e-01 -5.272974e-01
[1866] -2.598481e-01 -7.199056e-02 2.475766e-01 -5.063205e-01 -1.560908e-01
[1871] 1.969269e-02 6.135583e-02 -4.572658e-01 5.677704e-01 5.745478e-02
[1876] 2.472000e-01 7.809257e-01 -7.316842e-01 8.623729e-02 -6.361219e-02
[1881] 5.284823e-01 6.804027e-01 4.360707e-02 2.312588e-01 3.335574e-01
[1886] -6.669192e-01 -1.987967e-01 2.403729e-01 -1.967089e-01 4.770845e-02
[1891] 1.140634e-01 -1.680009e-01 -1.572286e-01 -7.289012e-02 9.164256e-02
[1896] 1.637854e-01 -9.164887e-02 5.857235e-01 -5.987962e-01 1.307263e-01
[1901] -1.887258e-01 -2.468879e-01 -4.084802e-01 3.612760e-02 3.837776e-02
[1906] 2.785414e-01 1.471211e-02 7.235217e-01 4.726570e-01 5.605331e-02
[1911] 5.051421e-02 -3.615616e-01 4.405969e-01 -7.399515e-02 1.062239e-01
[1916] 2.514410e-01 1.351840e-02 -2.808350e-01 -2.044917e-02 -5.773979e-03
[1921] -7.686390e-02 3.642519e-02 3.425443e-01 -2.475547e-01 3.817255e-01
[1926] -5.548963e-02 1.323867e-01 -1.399563e-01 2.271851e-01 8.499984e-01
[1931] 9.893079e-02 4.659213e-01 -3.463299e-02 6.657398e-02 2.293234e-01
[1936] 2.717896e-01 6.220378e-01 1.702224e-01 5.972697e-01 4.534179e-01
[1941] 6.327238e-02 -1.351997e-01 4.896653e-01 1.793936e-01 -2.491453e-01
[1946] 1.520002e-02 -2.822352e-01 4.907429e-01 1.510831e-01 4.205243e-01
[1951] 2.789492e-01 -1.010325e-01 -1.048572e-01 -4.780076e-02 -3.201456e-01
[1956] 4.468452e-01 2.386057e-01 2.833680e-01 1.236878e-01 1.612950e-01
[1961] -1.739364e-01 7.559212e-02 1.141920e-01 -1.847083e-01 3.543150e-01
[1966] 3.579655e-01 -5.529156e-01 2.739043e-01 -4.378905e-01 3.776823e-01
[1971] 1.638901e-01 5.060201e-01 -2.283515e-01 -1.883129e-02 -2.036842e-01
[1976] 1.199404e-01 1.653280e-01 -2.232057e-01 -7.218196e-02 2.241951e-02
[1981] -9.010241e-01 6.309973e-01 1.303106e-01 -6.469322e-01 -4.627053e-01
[1986] -2.923806e-01 2.535630e-01 -4.475606e-03 -1.304976e-03 6.994567e-02
[1991] 4.679021e-01 -2.160599e-01 5.283238e-01 -2.001026e-01 -5.812800e-02
[1996] 1.147085e-02 1.284755e-01 1.632485e-01 -2.982480e-02 8.634917e-02
[2001] -1.697254e-01 3.468899e-02 -1.671163e-02 4.933060e-01 1.555084e-01
[2006] -1.145025e-01 1.033067e-01 -2.638653e-02 -9.945237e-02 4.138388e-01
[2011] -4.004894e-02 -3.634361e-01 -5.831077e-03 1.234697e-01 3.357268e-01
[2016] 2.757647e-01 -1.384643e-01 1.732142e-01 2.236912e-01 -1.255288e-01
[2021] -8.174001e-02 -9.261065e-01 -8.602633e-02 -3.514258e-01 -2.130616e-01
[2026] 7.127861e-02 -1.255649e-01 -1.337734e-02 8.546451e-02 -2.143683e-01
[2031] -4.043022e-01 -2.466404e-01 -2.520925e-01 5.272927e-01 -3.753253e-01
[2036] 6.624853e-01 3.725187e-01 -1.013827e-01 -4.140322e-02 3.476562e-02
[2041] -1.178572e-01 5.260347e-01 3.480008e-01 -4.882685e-01 -2.527684e-01
[2046] -4.205237e-01 -1.558640e-01 2.639532e-01 1.127120e-01 -1.949020e-01
[2051] 1.061516e-01 -4.719697e-02 2.549582e-01 5.350662e-01 -2.064760e-01
[2056] -5.001926e-01 2.829441e-02 3.499759e-01 3.203254e-01 -3.009634e-01
[2061] -2.110315e-01 -7.206710e-03 2.247419e-01 -7.630651e-02 4.335784e-01
[2066] 4.178429e-01 5.166461e-02 1.257750e-01 -5.656627e-02 -3.198950e-01
[2071] -2.326454e-01 -8.381317e-02 -2.470625e-01 -9.718765e-02 -8.960178e-03
[2076] 1.338846e-01 4.674148e-01 9.557404e-02 -1.925556e-01 -3.167474e-01
[2081] -1.181769e-01 5.445484e-01 4.458001e-01 -1.172391e-01 2.807620e-01
[2086] 3.186113e-01 1.489017e-01 2.118991e-01 9.068608e-02 4.758358e-01
[2091] 1.087135e-01 1.248035e-01 -1.048616e-01 -7.091834e-01 -5.334595e-01
[2096] 6.850870e-02 -2.526509e-01 3.628607e-01 2.215392e-01 -6.722856e-02
[2101] -5.344483e-01 -5.370715e-01 -8.105105e-01 -2.215930e-02 -2.713094e-01
[2106] -1.499785e-01 6.402018e-03 4.322283e-02 1.463537e-01 -2.930683e-01
[2111] -1.004068e+00 -2.053883e-01 -2.174928e-01 3.213054e-01 1.299658e-01
[2116] 1.945834e-01 -2.131218e-01 -7.399917e-02 2.275874e-03 1.384728e-01
[2121] 4.473775e-01 1.213692e-01 -2.403622e-01 2.340982e-01 -6.303243e-01
[2126] 6.233531e-01 6.068423e-02 -6.816802e-01 -3.452077e-01 6.689567e-01
[2131] 8.116743e-02 1.102047e-01 2.062974e-01 4.949973e-03 -2.471872e-01
[2136] -5.142031e-01 6.427202e-02 2.457576e-01 -2.522295e-01 -4.351249e-01
[2141] -1.547308e-01 -7.601170e-02 7.648295e-01 8.327161e-02 -2.880008e-01
[2146] -1.819768e-01 7.438512e-02 -1.340652e-01 1.933367e-01 -3.246701e-01
[2151] 1.466183e-01 3.523518e-01 -9.638605e-02 2.596249e-01 -2.381572e-01
[2156] 2.533900e-01 -8.968200e-02 5.492062e-02 -1.638031e-01 7.871687e-02
[2161] -7.522555e-01 6.660596e-01 -3.676841e-02 -4.293065e-02 -1.124360e-01
[2166] -5.436645e-02 -1.466160e-01 3.286703e-01 -1.990768e-01 2.396633e-01
[2171] 4.616131e-01 1.749390e-01 3.313188e-01 8.282933e-01 -4.694485e-01
[2176] 1.328868e-01 1.146563e-01 7.020422e-02 -4.894036e-02 -1.847357e-01
[2181] 4.648297e-02 1.407840e-01 3.103053e-01 5.789803e-02 -1.410797e-01
[2186] -2.939700e-01 1.285911e-01 7.694074e-02 -4.878311e-03 9.124985e-03
[2191] -1.263008e-01 2.125486e-02 -5.718245e-02 -4.070560e-01 -9.523649e-02
[2196] 6.191416e-01 2.913913e-01 -3.867094e-02 -2.902492e-01 4.856967e-01
[2201] 3.115224e-01 -2.426651e-01 5.430286e-03 2.637158e-01 1.291652e-01
[2206] 1.273343e-01 -4.595496e-01 -6.154333e-02 6.145713e-02 3.408196e-01
[2211] 2.931262e-01 5.565033e-01 1.500434e-01 1.891719e-01 -2.593873e-01
[2216] -2.446194e-01 5.955484e-02 -2.224489e-01 1.733647e-01 4.482114e-01
[2221] -2.137708e-01 1.185023e-01 2.026126e-02 9.504233e-02 1.628134e-01
[2226] -2.232980e-01 -1.236502e-01 4.389401e-01 -2.270524e-01 -1.441943e-01
[2231] 1.180181e-01 -2.569446e-01 -8.606124e-03 4.147466e-01 1.386562e-01
[2236] 7.548334e-01 1.744710e-02 -2.241659e-01 3.508173e-01 -1.731231e-01
[2241] -5.273851e-01 2.104184e-01 -1.802039e-01 -3.807753e-01 -2.893682e-01
[2246] -1.686265e-01 3.647654e-01 4.467417e-01 -1.020298e-01 3.180691e-02
[2251] 4.700289e-01 1.108282e-01 1.686251e-01 -1.729239e-01 -1.459317e-02
[2256] 6.311690e-01 1.460721e-01 -2.489753e-01 2.762190e-01 3.010947e-01
[2261] -5.208507e-01 -3.070314e-01 1.888107e-01 -4.526725e-01 1.029217e-01
[2266] 6.727937e-02 -3.522982e-01 3.514025e-01 -4.371148e-01 7.711554e-02
[2271] 4.259499e-02 -1.673823e-01 3.264269e-01 2.027807e-02 2.657825e-01
[2276] -1.991004e-01 -3.961354e-01 -2.562719e-01 -1.087277e-01 6.137376e-01
[2281] 6.001070e-01 -1.996660e-01 -1.876637e-01 -4.436387e-02 -5.959789e-01
[2286] -3.486014e-01 1.704105e-01 -4.526504e-01 -1.756227e-01 3.021168e-01
[2291] 5.623339e-01 -1.053245e-01 -3.027284e-02 5.159079e-02 1.557151e-01
[2296] 1.462092e-01 5.326929e-01 6.359403e-01 3.104667e-01 -3.296405e-03
[2301] -3.083876e-01 2.846528e-01 4.287111e-01 -7.418511e-02 8.278337e-01
[2306] -3.525943e-01 2.314207e-01 5.817466e-01 -1.486824e-01 -3.648930e-02
[2311] 1.849114e-01 6.890970e-02 -5.820050e-02 8.662383e-02 -3.241756e-01
[2316] -8.401066e-02 -1.139167e-01 -6.108205e-01 -2.462530e-01 -1.200164e-01
[2321] -3.000445e-01 2.106534e-01 -5.872883e-01 9.065869e-01 8.258143e-01
[2326] 1.331903e-01 2.746980e-01 -1.014404e-01 1.108740e-03 3.365771e-01
[2331] -1.386664e-01 4.137857e-02 1.736545e-01 1.651234e-01 -3.146549e-01
[2336] 2.372611e-02 6.435450e-01 -1.409290e-01 -9.055399e-02 -4.375570e-01
[2341] -1.173601e-01 3.187251e-01 2.766502e-02 -3.489089e-01 -1.325327e-01
[2346] -1.293566e-01 -1.507791e-01 6.249060e-01 7.747581e-02 6.536307e-01
[2351] -7.910312e-02 2.264749e-02 1.014266e-01 1.565536e-01 5.873661e-02
[2356] -3.379387e-01 -3.806494e-01 -1.747052e-01 8.219442e-01 -2.409763e-01
[2361] -3.349082e-01 -5.869441e-01 -2.295243e-01 -2.924206e-02 -4.138974e-01
[2366] -2.249024e-01 4.437522e-01 9.304705e-02 -5.033244e-02 -5.200726e-02
[2371] -3.912885e-01 6.553631e-01 1.068907e-01 1.537223e-01 -1.683489e-01
[2376] 1.718072e-01 -1.110411e-01 -1.429120e-01 -4.476105e-01 4.335606e-01
[2381] 3.200342e-01 -9.048186e-02 -4.269296e-01 -6.920416e-01 -1.311999e-01
[2386] -9.549798e-01 6.503164e-02 -3.702713e-01 1.737910e-01 -6.454104e-01
[2391] -4.939991e-01 -3.324242e-01 8.954696e-02 -1.406014e-01 -2.384787e-01
[2396] 2.789515e-01 3.698710e-01 -4.131454e-01 -1.097551e-01 2.489372e-01
[2401] -6.265495e-03 1.977663e-01 -6.082340e-01 -1.776537e-01 -2.464626e-01
[2406] 2.569087e-01 3.031517e-01 1.608622e-01 -3.632913e-01 5.127009e-01
[2411] -1.356487e-02 2.995532e-01 -5.201785e-01 -5.502927e-01 -3.550150e-03
[2416] -2.555762e-02 -2.245627e-01 -1.546219e-01 -4.686748e-02 2.201403e-01
[2421] -1.227808e-02 3.092771e-01 -4.155976e-01 -6.059233e-01 -3.590632e-01
[2426] 3.441469e-01 -1.015073e+00 -1.356601e-01 1.922739e-01 3.681942e-03
[2431] 5.906858e-02 -1.486606e-02 3.682742e-01 -3.177967e-01 -1.678580e-01
[2436] -2.300832e-04 6.228752e-01 -3.619008e-01 -8.659739e-02 2.948300e-01
[2441] 3.068431e-01 3.844201e-02 3.976931e-01 -3.102221e-01 -2.650513e-01
[2446] 4.320554e-01 1.632189e-02 -3.248784e-01 -9.630132e-03 3.741979e-01
[2451] 1.887689e-01 1.760773e-02 -7.997007e-02 5.909547e-01 -1.300332e-01
[2456] 1.718301e-01 -7.901079e-01 -1.781985e-01 -5.802674e-01 -3.037362e-01
[2461] -1.172594e-01 -1.743878e-01 -1.457204e-01 5.545245e-02 8.595204e-02
[2466] -9.811069e-02 7.149664e-02 -3.177051e-01 5.267658e-02 9.538333e-02
[2471] 1.766973e-01 -2.649086e-01 4.575096e-01 -5.416698e-02 -3.917551e-01
[2476] -3.663464e-01 -2.279011e-01 2.828194e-01 4.708281e-02 -4.413191e-01
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[19816] 3.853961e-01 -8.959532e-02 -1.386884e-01 3.534954e-01 -5.934058e-01
[19821] 1.351378e-01 -3.142698e-01 -2.886458e-02 -2.079527e-01 3.475162e-01
[19826] -3.914500e-01 -1.704365e-01 9.347343e-02 5.395102e-01 1.979428e-01
[19831] 1.976848e-01 2.876868e-03 1.914937e-01 8.644355e-02 5.654739e-01
[19836] 4.471553e-01 2.384782e-01 3.702419e-01 -6.044063e-01 2.944015e-01
[19841] -1.429893e-01 1.200293e-01 1.324241e-01 1.840050e-01 -3.327922e-02
[19846] -2.250101e-01 5.158616e-01 -5.894675e-02 9.840043e-01 4.024203e-01
[19851] 2.962502e-01 7.014738e-02 -3.866081e-01 9.231473e-02 -5.148882e-01
[19856] 2.913488e-01 -3.272339e-01 4.946277e-02 -1.128629e-01 -2.263482e-03
[19861] -4.929578e-01 -5.713835e-01 -1.876550e-01 -2.449458e-01 -8.276075e-03
[19866] 3.078333e-01 -5.971031e-02 5.362326e-02 -5.133437e-02 5.251917e-01
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[19876] -2.258216e-01 5.385192e-02 -6.941872e-02 6.607855e-01 2.051488e-01
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[19886] -3.704402e-01 -5.776276e-01 3.895120e-01 -2.980864e-03 3.580677e-01
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[19896] -1.812425e-01 3.764455e-01 1.796250e-02 -1.385330e-01 5.382725e-01
[19901] -1.660845e-01 1.342088e-01 -3.628238e-01 -2.655548e-01 2.181717e-01
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[19911] 6.834249e-01 1.065782e-01 -1.343231e-01 2.084927e-01 -2.808984e-01
[19916] -1.158200e-01 6.962830e-02 -3.501511e-02 1.393741e-01 1.944702e-01
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[19926] -5.272274e-02 -1.513442e-01 -3.253675e-01 5.180604e-01 4.669496e-01
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[19936] 1.654497e-01 -2.481386e-01 2.385054e-01 2.938021e-02 4.109770e-02
[19941] 6.355986e-02 6.074211e-01 9.960364e-02 2.137893e-02 1.629701e-01
[19946] 6.251673e-01 2.396457e-01 9.294882e-02 -1.557938e-01 -1.323331e-01
[19951] -2.709683e-01 7.263635e-01 6.337994e-02 2.158459e-01 8.412254e-01
[19956] 2.138794e-01 2.566635e-02 7.252080e-03 9.283689e-02 1.788387e-01
[19961] -1.001279e-01 3.421894e-01 -1.894505e-01 -3.866951e-01 5.060476e-01
[19966] 2.643956e-01 3.876349e-01 -2.287860e-01 2.181460e-01 -1.916653e-01
[19971] 1.285937e-01 -2.201319e-01 -2.481763e-02 -3.453813e-01 -1.202192e-03
[19976] 5.066951e-01 -1.461778e-01 -3.575230e-01 2.213893e-01 -5.481223e-01
[19981] 5.853327e-01 -1.231470e-01 -4.968167e-02 -3.514160e-01 -2.219138e-01
[19986] 2.830159e-01 5.510109e-01 -4.198212e-02 6.014616e-01 -9.853477e-02
[19991] 3.034126e-01 -3.440679e-01 -5.016851e-01 -1.301232e-01 -6.111899e-01
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[20001] -3.994132e-02 -3.988739e-03 7.207584e-02 3.251933e-01 1.058965e-01
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[20011] 3.279841e-01 4.092458e-01 2.621242e-01 -2.227395e-01 1.967334e-01
[20016] 3.719398e-01 -1.482336e-01 6.721608e-01 2.725783e-01 4.523360e-01
[20021] -3.080649e-01 1.955810e-01 3.671985e-02 -1.201272e-02 -2.419672e-01
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[20101] -1.813003e-01 -4.155579e-02 3.540250e-02 -3.510881e-01 5.688087e-01
[20106] -2.839726e-01 -3.870047e-02 -2.051271e-01 2.319192e-01 -3.247546e-01
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[63126] 4.450418e-02 -2.507728e-01 4.818413e-01 1.534773e-01 1.520117e-02
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[63136] -1.853371e-01 1.051514e-01 -1.856387e-01 1.584942e-01 -2.406683e-02
[63141] -7.643546e-01 7.910355e-02 -7.783060e-01 -2.570581e-01 -2.003423e-02
[63146] -2.550232e-01 -3.908752e-01 2.257385e-01 4.102747e-01 1.438706e-01
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[63176] 1.338568e-01 -6.628551e-02 1.879074e-02 1.133589e-01 1.345113e-01
[63181] -1.939015e-01 2.739750e-01 -7.353642e-01 -2.302065e-01 -2.883192e-01
[63186] -2.073285e-01 -2.561918e-01 -3.201645e-01 -2.967260e-01 8.155940e-02
[63191] -5.726347e-01 3.674398e-01 3.570685e-01 -1.400087e-02 3.404697e-01
[63196] 2.085248e-01 -1.157104e-01 -1.132491e-02 6.070426e-02 1.060771e-01
[63201] -5.346619e-01 9.600650e-02 -2.158665e-01 4.650388e-01 1.451652e-01
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[63221] -2.955568e-02 -3.856426e-01 3.176803e-01 -1.017588e-01 -1.518382e-01
[63226] 3.124487e-01 3.509729e-01 -5.134775e-02 4.017853e-01 -5.004046e-01
[63231] -2.783422e-01 -1.823975e-01 -1.167510e-01 3.467568e-01 6.942889e-02
[63236] 3.163005e-01 -2.197043e-01 -3.318678e-01 -4.918739e-01 4.004485e-01
[63241] 1.862992e-01 -2.436478e-01 -1.110143e-01 -1.943760e-02 2.123900e-01
[63246] -2.099748e-02 1.496943e-01 1.066516e-01 1.439724e-01 1.392346e-02
[63251] -2.179283e-01 -3.005051e-01 3.545523e-01 -6.659950e-02 2.712205e-01
[63256] -1.154209e-01 6.359557e-02 6.312561e-01 -2.709302e-01 -6.012526e-02
[63261] 4.272350e-01 8.278718e-02 -6.554502e-02 5.052849e-02 -1.746766e-01
[63266] -1.971442e-01 7.001736e-01 -3.520100e-02 -1.930365e-01 -1.030578e-02
[63271] 5.974246e-01 -1.426217e-01 5.448962e-01 -3.528646e-01 2.697555e-01
[63276] 9.829378e-01 4.488150e-01 -2.021129e-01 2.818792e-01 8.727971e-02
[63281] 3.841688e-01 -4.293068e-02 -3.274895e-01 -1.965009e-01 1.604630e-01
[63286] 6.827145e-02 -4.685820e-01 -1.409972e-02 2.563842e-01 5.064323e-01
[63291] -8.092
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