path: root/common/cosinetables.cpp

/* ScummVM - Graphic Adventure Engine
 *
 * ScummVM is the legal property of its developers, whose names
 * are too numerous to list here. Please refer to the COPYRIGHT
 * file distributed with this source distribution.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.

 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.

 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 *
 */

// Based on eos' cosine tables

#include "common/cosinetables.h"
#include "common/scummsys.h"

namespace Common {

static const float cosTable16[8] = {
	 1.000000,  0.923880,  0.707107,  0.382683,  0.000000,  0.382683,  0.707107,  0.923880
};

static const float cosTable32[16] = {
	 1.000000,  0.980785,  0.923880,  0.831470,  0.707107,  0.555570,  0.382683,  0.195090,
	 0.000000,  0.195090,  0.382683,  0.555570,  0.707107,  0.831470,  0.923880,  0.980785
};

static const float cosTable64[32] = {
	 1.000000,  0.995185,  0.980785,  0.956940,  0.923880,  0.881921,  0.831470,  0.773010,
	 0.707107,  0.634393,  0.555570,  0.471397,  0.382683,  0.290285,  0.195090,  0.098017,
	 0.000000,  0.098017,  0.195090,  0.290285,  0.382683,  0.471397,  0.555570,  0.634393,
	 0.707107,  0.773010,  0.831470,  0.881921,  0.923880,  0.956940,  0.980785,  0.995185
};

static const float cosTable128[64] = {
	 1.000000,  0.998795,  0.995185,  0.989177,  0.980785,  0.970031,  0.956940,  0.941544,
	 0.923880,  0.903989,  0.881921,  0.857729,  0.831470,  0.803208,  0.773010,  0.740951,
	 0.707107,  0.671559,  0.634393,  0.595699,  0.555570,  0.514103,  0.471397,  0.427555,
	 0.382683,  0.336890,  0.290285,  0.242980,  0.195090,  0.146730,  0.098017,  0.049068,
	 0.000000,  0.049068,  0.098017,  0.146730,  0.195090,  0.242980,  0.290285,  0.336890,
	 0.382683,  0.427555,  0.471397,  0.514103,  0.555570,  0.595699,  0.634393,  0.671559,
	 0.707107,  0.740951,  0.773010,  0.803208,  0.831470,  0.857729,  0.881921,  0.903989,
	 0.923880,  0.941544,  0.956940,  0.970031,  0.980785,  0.989177,  0.995185,  0.998795
};

static const float cosTable256[128] = {
	 1.000000,  0.999699,  0.998795,  0.997290,  0.995185,  0.992480,  0.989177,  0.985278,
	 0.980785,  0.975702,  0.970031,  0.963776,  0.956940,  0.949528,  0.941544,  0.932993,
	 0.923880,  0.914210,  0.903989,  0.893224,  0.881921,  0.870087,  0.857729,  0.844854,
	 0.831470,  0.817585,  0.803208,  0.788346,  0.773010,  0.757209,  0.740951,  0.724247,
	 0.707107,  0.689541,  0.671559,  0.653173,  0.634393,  0.615232,  0.595699,  0.575808,
	 0.555570,  0.534998,  0.514103,  0.492898,  0.471397,  0.449611,  0.427555,  0.405241,
	 0.382683,  0.359895,  0.336890,  0.313682,  0.290285,  0.266713,  0.242980,  0.219101,
	 0.195090,  0.170962,  0.146730,  0.122411,  0.098017,  0.073565,  0.049068,  0.024541,
	 0.000000,  0.024541,  0.049068,  0.073565,  0.098017,  0.122411,  0.146730,  0.170962,
	 0.195090,  0.219101,  0.242980,  0.266713,  0.290285,  0.313682,  0.336890,  0.359895,
	 0.382683,  0.405241,  0.427555,  0.449611,  0.471397,  0.492898,  0.514103,  0.534998,
	 0.555570,  0.575808,  0.595699,  0.615232,  0.634393,  0.653173,  0.671559,  0.689541,
	 0.707107,  0.724247,  0.740951,  0.757209,  0.773010,  0.788346,  0.803208,  0.817585,
	 0.831470,  0.844854,  0.857729,  0.870087,  0.881921,  0.893224,  0.903989,  0.914210,
	 0.923880,  0.932993,  0.941544,  0.949528,  0.956940,  0.963776,  0.970031,  0.975702,
	 0.980785,  0.985278,  0.989177,  0.992480,  0.995185,  0.997290,  0.998795,  0.999699
};

static const float cosTable512[256] = {
	 1.000000,  0.999925,  0.999699,  0.999322,  0.998795,  0.998118,  0.997290,  0.996313,
	 0.995185,  0.993907,  0.992480,  0.990903,  0.989177,  0.987301,  0.985278,  0.983105,
	 0.980785,  0.978317,  0.975702,  0.972940,  0.970031,  0.966976,  0.963776,  0.960431,
	 0.956940,  0.953306,  0.949528,  0.945607,  0.941544,  0.937339,  0.932993,  0.928506,
	 0.923880,  0.919114,  0.914210,  0.909168,  0.903989,  0.898674,  0.893224,  0.887640,
	 0.881921,  0.876070,  0.870087,  0.863973,  0.857729,  0.851355,  0.844854,  0.838225,
	 0.831470,  0.824589,  0.817585,  0.810457,  0.803208,  0.795837,  0.788346,  0.780737,
	 0.773010,  0.765167,  0.757209,  0.749136,  0.740951,  0.732654,  0.724247,  0.715731,
	 0.707107,  0.698376,  0.689541,  0.680601,  0.671559,  0.662416,  0.653173,  0.643832,
	 0.634393,  0.624860,  0.615232,  0.605511,  0.595699,  0.585798,  0.575808,  0.565732,
	 0.555570,  0.545325,  0.534998,  0.524590,  0.514103,  0.503538,  0.492898,  0.482184,
	 0.471397,  0.460539,  0.449611,  0.438616,  0.427555,  0.416430,  0.405241,  0.393992,
	 0.382683,  0.371317,  0.359895,  0.348419,  0.336890,  0.325310,  0.313682,  0.302006,
	 0.290285,  0.278520,  0.266713,  0.254866,  0.242980,  0.231058,  0.219101,  0.207111,
	 0.195090,  0.183040,  0.170962,  0.158858,  0.146730,  0.134581,  0.122411,  0.110222,
	 0.098017,  0.085797,  0.073565,  0.061321,  0.049068,  0.036807,  0.024541,  0.012272,
	 0.000000,  0.012272,  0.024541,  0.036807,  0.049068,  0.061321,  0.073565,  0.085797,
	 0.098017,  0.110222,  0.122411,  0.134581,  0.146730,  0.158858,  0.170962,  0.183040,
	 0.195090,  0.207111,  0.219101,  0.231058,  0.242980,  0.254866,  0.266713,  0.278520,
	 0.290285,  0.302006,  0.313682,  0.325310,  0.336890,  0.348419,  0.359895,  0.371317,
	 0.382683,  0.393992,  0.405241,  0.416430,  0.427555,  0.438616,  0.449611,  0.460539,
	 0.471397,  0.482184,  0.492898,  0.503538,  0.514103,  0.524590,  0.534998,  0.545325,
	 0.555570,  0.565732,  0.575808,  0.585798,  0.595699,  0.605511,  0.615232,  0.624860,
	 0.634393,  0.643832,  0.653173,  0.662416,  0.671559,  0.680601,  0.689541,  0.698376,
	 0.707107,  0.715731,  0.724247,  0.732654,  0.740951,  0.749136,  0.757209,  0.765167,
	 0.773010,  0.780737,  0.788346,  0.795837,  0.803208,  0.810457,  0.817585,  0.824589,
	 0.831470,  0.838225,  0.844854,  0.851355,  0.857729,  0.863973,  0.870087,  0.876070,
	 0.881921,  0.887640,  0.893224,  0.898674,  0.903989,  0.909168,  0.914210,  0.919114,
	 0.923880,  0.928506,  0.932993,  0.937339,  0.941544,  0.945607,  0.949528,  0.953306,
	 0.956940,  0.960431,  0.963776,  0.966976,  0.970031,  0.972940,  0.975702,  0.978317,
	 0.980785,  0.983105,  0.985278,  0.987301,  0.989177,  0.990903,  0.992480,  0.993907,
	 0.995185,  0.996313,  0.997290,  0.998118,  0.998795,  0.999322,  0.999699,  0.999925
};

static const float cosTable1024[512] = {
	 1.000000,  0.999981,  0.999925,  0.999831,  0.999699,  0.999529,  0.999322,  0.999078,
	 0.998795,  0.998476,  0.998118,  0.997723,  0.997290,  0.996820,  0.996313,  0.995767,
	 0.995185,  0.994565,  0.993907,  0.993212,  0.992480,  0.991710,  0.990903,  0.990058,
	 0.989177,  0.988258,  0.987301,  0.986308,  0.985278,  0.984210,  0.983105,  0.981964,
	 0.980785,  0.979570,  0.978317,  0.977028,  0.975702,  0.974339,  0.972940,  0.971504,
	 0.970031,  0.968522,  0.966976,  0.965394,  0.963776,  0.962121,  0.960431,  0.958703,
	 0.956940,  0.955141,  0.953306,  0.951435,  0.949528,  0.947586,  0.945607,  0.943593,
	 0.941544,  0.939459,  0.937339,  0.935184,  0.932993,  0.930767,  0.928506,  0.926210,
	 0.923880,  0.921514,  0.919114,  0.916679,  0.914210,  0.911706,  0.909168,  0.906596,
	 0.903989,  0.901349,  0.898674,  0.895966,  0.893224,  0.890449,  0.887640,  0.884797,
	 0.881921,  0.879012,  0.876070,  0.873095,  0.870087,  0.867046,  0.863973,  0.860867,
	 0.857729,  0.854558,  0.851355,  0.848120,  0.844854,  0.841555,  0.838225,  0.834863,
	 0.831470,  0.828045,  0.824589,  0.821102,  0.817585,  0.814036,  0.810457,  0.806848,
	 0.803208,  0.799537,  0.795837,  0.792107,  0.788346,  0.784557,  0.780737,  0.776888,
	 0.773010,  0.769103,  0.765167,  0.761202,  0.757209,  0.753187,  0.749136,  0.745058,
	 0.740951,  0.736817,  0.732654,  0.728464,  0.724247,  0.720003,  0.715731,  0.711432,
	 0.707107,  0.702755,  0.698376,  0.693971,  0.689541,  0.685084,  0.680601,  0.676093,
	 0.671559,  0.667000,  0.662416,  0.657807,  0.653173,  0.648514,  0.643832,  0.639124,
	 0.634393,  0.629638,  0.624860,  0.620057,  0.615232,  0.610383,  0.605511,  0.600616,
	 0.595699,  0.590760,  0.585798,  0.580814,  0.575808,  0.570781,  0.565732,  0.560662,
	 0.555570,  0.550458,  0.545325,  0.540171,  0.534998,  0.529804,  0.524590,  0.519356,
	 0.514103,  0.508830,  0.503538,  0.498228,  0.492898,  0.487550,  0.482184,  0.476799,
	 0.471397,  0.465977,  0.460539,  0.455084,  0.449611,  0.444122,  0.438616,  0.433094,
	 0.427555,  0.422000,  0.416430,  0.410843,  0.405241,  0.399624,  0.393992,  0.388345,
	 0.382683,  0.377007,  0.371317,  0.365613,  0.359895,  0.354164,  0.348419,  0.342661,
	 0.336890,  0.331106,  0.325310,  0.319502,  0.313682,  0.307850,  0.302006,  0.296151,
	 0.290285,  0.284408,  0.278520,  0.272621,  0.266713,  0.260794,  0.254866,  0.248928,
	 0.242980,  0.237024,  0.231058,  0.225084,  0.219101,  0.213110,  0.207111,  0.201105,
	 0.195090,  0.189069,  0.183040,  0.177004,  0.170962,  0.164913,  0.158858,  0.152797,
	 0.146730,  0.140658,  0.134581,  0.128498,  0.122411,  0.116319,  0.110222,  0.104122,
	 0.098017,  0.091909,  0.085797,  0.079682,  0.073565,  0.067444,  0.061321,  0.055195,
	 0.049068,  0.042938,  0.036807,  0.030675,  0.024541,  0.018407,  0.012272,  0.006136,
	 0.000000,  0.006136,  0.012272,  0.018407,  0.024541,  0.030675,  0.036807,  0.042938,
	 0.049068,  0.055195,  0.061321,  0.067444,  0.073565,  0.079682,  0.085797,  0.091909,
	 0.098017,  0.104122,  0.110222,  0.116319,  0.122411,  0.128498,  0.134581,  0.140658,
	 0.146730,  0.152797,  0.158858,  0.164913,  0.170962,  0.177004,  0.183040,  0.189069,
	 0.195090,  0.201105,  0.207111,  0.213110,  0.219101,  0.225084,  0.231058,  0.237024,
	 0.242980,  0.248928,  0.254866,  0.260794,  0.266713,  0.272621,  0.278520,  0.284408,
	 0.290285,  0.296151,  0.302006,  0.307850,  0.313682,  0.319502,  0.325310,  0.331106,
	 0.336890,  0.342661,  0.348419,  0.354164,  0.359895,  0.365613,  0.371317,  0.377007,
	 0.382683,  0.388345,  0.393992,  0.399624,  0.405241,  0.410843,  0.416430,  0.422000,
	 0.427555,  0.433094,  0.438616,  0.444122,  0.449611,  0.455084,  0.460539,  0.465977,
	 0.471397,  0.476799,  0.482184,  0.487550,  0.492898,  0.498228,  0.503538,  0.508830,
	 0.514103,  0.519356,  0.524590,  0.529804,  0.534998,  0.540171,  0.545325,  0.550458,
	 0.555570,  0.560662,  0.565732,  0.570781,  0.575808,  0.580814,  0.585798,  0.590760,
	 0.595699,  0.600616,  0.605511,  0.610383,  0.615232,  0.620057,  0.624860,  0.629638,
	 0.634393,  0.639124,  0.643832,  0.648514,  0.653173,  0.657807,  0.662416,  0.667000,
	 0.671559,  0.676093,  0.680601,  0.685084,  0.689541,  0.693971,  0.698376,  0.702755,
	 0.707107,  0.711432,  0.715731,  0.720003,  0.724247,  0.728464,  0.732654,  0.736817,
	 0.740951,  0.745058,  0.749136,  0.753187,  0.757209,  0.761202,  0.765167,  0.769103,
	 0.773010,  0.776888,  0.780737,  0.784557,  0.788346,  0.792107,  0.795837,  0.799537,
	 0.803208,  0.806848,  0.810457,  0.814036,  0.817585,  0.821102,  0.824589,  0.828045,
	 0.831470,  0.834863,  0.838225,  0.841555,  0.844854,  0.848120,  0.851355,  0.854558,
	 0.857729,  0.860867,  0.863973,  0.867046,  0.870087,  0.873095,  0.876070,  0.879012,
	 0.881921,  0.884797,  0.887640,  0.890449,  0.893224,  0.895966,  0.898674,  0.901349,
	 0.903989,  0.906596,  0.909168,  0.911706,  0.914210,  0.916679,  0.919114,  0.921514,
	 0.923880,  0.926210,  0.928506,  0.930767,  0.932993,  0.935184,  0.937339,  0.939459,
	 0.941544,  0.943593,  0.945607,  0.947586,  0.949528,  0.951435,  0.953306,  0.955141,
	 0.956940,  0.958703,  0.960431,  0.962121,  0.963776,  0.965394,  0.966976,  0.968522,
	 0.970031,  0.971504,  0.972940,  0.974339,  0.975702,  0.977028,  0.978317,  0.979570,
	 0.980785,  0.981964,  0.983105,  0.984210,  0.985278,  0.986308,  0.987301,  0.988258,
	 0.989177,  0.990058,  0.990903,  0.991710,  0.992480,  0.993212,  0.993907,  0.994565,
	 0.995185,  0.995767,  0.996313,  0.996820,  0.997290,  0.997723,  0.998118,  0.998476,
	 0.998795,  0.999078,  0.999322,  0.999529,  0.999699,  0.999831,  0.999925,  0.999981
};

static const float cosTable2048[1024] = {
	 1.000000,  0.999995,  0.999981,  0.999958,  0.999925,  0.999882,  0.999831,  0.999769,
	 0.999699,  0.999619,  0.999529,  0.999431,  0.999322,  0.999205,  0.999078,  0.998941,
	 0.998795,  0.998640,  0.998476,  0.998302,  0.998118,  0.997925,  0.997723,  0.997511,
	 0.997290,  0.997060,  0.996820,  0.996571,  0.996313,  0.996045,  0.995767,  0.995481,
	 0.995185,  0.994879,  0.994565,  0.994240,  0.993907,  0.993564,  0.993212,  0.992850,
	 0.992480,  0.992099,  0.991710,  0.991311,  0.990903,  0.990485,  0.990058,  0.989622,
	 0.989177,  0.988722,  0.988258,  0.987784,  0.987301,  0.986809,  0.986308,  0.985798,
	 0.985278,  0.984748,  0.984210,  0.983662,  0.983105,  0.982539,  0.981964,  0.981379,
	 0.980785,  0.980182,  0.979570,  0.978948,  0.978317,  0.977677,  0.977028,  0.976370,
	 0.975702,  0.975025,  0.974339,  0.973644,  0.972940,  0.972227,  0.971504,  0.970772,
	 0.970031,  0.969281,  0.968522,  0.967754,  0.966976,  0.966190,  0.965394,  0.964590,
	 0.963776,  0.962953,  0.962121,  0.961280,  0.960431,  0.959572,  0.958703,  0.957826,
	 0.956940,  0.956045,  0.955141,  0.954228,  0.953306,  0.952375,  0.951435,  0.950486,
	 0.949528,  0.948561,  0.947586,  0.946601,  0.945607,  0.944605,  0.943593,  0.942573,
	 0.941544,  0.940506,  0.939459,  0.938404,  0.937339,  0.936266,  0.935184,  0.934093,
	 0.932993,  0.931884,  0.930767,  0.929641,  0.928506,  0.927363,  0.926210,  0.925049,
	 0.923880,  0.922701,  0.921514,  0.920318,  0.919114,  0.917901,  0.916679,  0.915449,
	 0.914210,  0.912962,  0.911706,  0.910441,  0.909168,  0.907886,  0.906596,  0.905297,
	 0.903989,  0.902673,  0.901349,  0.900016,  0.898674,  0.897325,  0.895966,  0.894599,
	 0.893224,  0.891841,  0.890449,  0.889048,  0.887640,  0.886223,  0.884797,  0.883363,
	 0.881921,  0.880471,  0.879012,  0.877545,  0.876070,  0.874587,  0.873095,  0.871595,
	 0.870087,  0.868571,  0.867046,  0.865514,  0.863973,  0.862424,  0.860867,  0.859302,
	 0.857729,  0.856147,  0.854558,  0.852961,  0.851355,  0.849742,  0.848120,  0.846491,
	 0.844854,  0.843208,  0.841555,  0.839894,  0.838225,  0.836548,  0.834863,  0.833170,
	 0.831470,  0.829761,  0.828045,  0.826321,  0.824589,  0.822850,  0.821102,  0.819348,
	 0.817585,  0.815814,  0.814036,  0.812251,  0.810457,  0.808656,  0.806848,  0.805031,
	 0.803208,  0.801376,  0.799537,  0.797691,  0.795837,  0.793975,  0.792107,  0.790230,
	 0.788346,  0.786455,  0.784557,  0.782651,  0.780737,  0.778817,  0.776888,  0.774953,
	 0.773010,  0.771061,  0.769103,  0.767139,  0.765167,  0.763188,  0.761202,  0.759209,
	 0.757209,  0.755201,  0.753187,  0.751165,  0.749136,  0.747101,  0.745058,  0.743008,
	 0.740951,  0.738887,  0.736817,  0.734739,  0.732654,  0.730563,  0.728464,  0.726359,
	 0.724247,  0.722128,  0.720003,  0.717870,  0.715731,  0.713585,  0.711432,  0.709273,
	 0.707107,  0.704934,  0.702755,  0.700569,  0.698376,  0.696177,  0.693971,  0.691759,
	 0.689541,  0.687315,  0.685084,  0.682846,  0.680601,  0.678350,  0.676093,  0.673829,
	 0.671559,  0.669283,  0.667000,  0.664711,  0.662416,  0.660114,  0.657807,  0.655493,
	 0.653173,  0.650847,  0.648514,  0.646176,  0.643832,  0.641481,  0.639124,  0.636762,
	 0.634393,  0.632019,  0.629638,  0.627252,  0.624860,  0.622461,  0.620057,  0.617647,
	 0.615232,  0.612810,  0.610383,  0.607950,  0.605511,  0.603067,  0.600616,  0.598161,
	 0.595699,  0.593232,  0.590760,  0.588282,  0.585798,  0.583309,  0.580814,  0.578314,
	 0.575808,  0.573297,  0.570781,  0.568259,  0.565732,  0.563199,  0.560662,  0.558119,
	 0.555570,  0.553017,  0.550458,  0.547894,  0.545325,  0.542751,  0.540171,  0.537587,
	 0.534998,  0.532403,  0.529804,  0.527199,  0.524590,  0.521975,  0.519356,  0.516732,
	 0.514103,  0.511469,  0.508830,  0.506187,  0.503538,  0.500885,  0.498228,  0.495565,
	 0.492898,  0.490226,  0.487550,  0.484869,  0.482184,  0.479494,  0.476799,  0.474100,
	 0.471397,  0.468689,  0.465977,  0.463260,  0.460539,  0.457813,  0.455084,  0.452350,
	 0.449611,  0.446869,  0.444122,  0.441371,  0.438616,  0.435857,  0.433094,  0.430326,
	 0.427555,  0.424780,  0.422000,  0.419217,  0.416430,  0.413638,  0.410843,  0.408044,
	 0.405241,  0.402435,  0.399624,  0.396810,  0.393992,  0.391170,  0.388345,  0.385516,
	 0.382683,  0.379847,  0.377007,  0.374164,  0.371317,  0.368467,  0.365613,  0.362756,
	 0.359895,  0.357031,  0.354164,  0.351293,  0.348419,  0.345541,  0.342661,  0.339777,
	 0.336890,  0.334000,  0.331106,  0.328210,  0.325310,  0.322408,  0.319502,  0.316593,
	 0.313682,  0.310767,  0.307850,  0.304929,  0.302006,  0.299080,  0.296151,  0.293219,
	 0.290285,  0.287347,  0.284408,  0.281465,  0.278520,  0.275572,  0.272621,  0.269668,
	 0.266713,  0.263755,  0.260794,  0.257831,  0.254866,  0.251898,  0.248928,  0.245955,
	 0.242980,  0.240003,  0.237024,  0.234042,  0.231058,  0.228072,  0.225084,  0.222094,
	 0.219101,  0.216107,  0.213110,  0.210112,  0.207111,  0.204109,  0.201105,  0.198098,
	 0.195090,  0.192080,  0.189069,  0.186055,  0.183040,  0.180023,  0.177004,  0.173984,
	 0.170962,  0.167938,  0.164913,  0.161886,  0.158858,  0.155828,  0.152797,  0.149765,
	 0.146730,  0.143695,  0.140658,  0.137620,  0.134581,  0.131540,  0.128498,  0.125455,
	 0.122411,  0.119365,  0.116319,  0.113271,  0.110222,  0.107172,  0.104122,  0.101070,
	 0.098017,  0.094963,  0.091909,  0.088854,  0.085797,  0.082740,  0.079682,  0.076624,
	 0.073565,  0.070505,  0.067444,  0.064383,  0.061321,  0.058258,  0.055195,  0.052132,
	 0.049068,  0.046003,  0.042938,  0.039873,  0.036807,  0.033741,  0.030675,  0.027608,
	 0.024541,  0.021474,  0.018407,  0.015339,  0.012272,  0.009204,  0.006136,  0.003068,
	 0.000000,  0.003068,  0.006136,  0.009204,  0.012272,  0.015339,  0.018407,  0.021474,
	 0.024541,  0.027608,  0.030675,  0.033741,  0.036807,  0.039873,  0.042938,  0.046003,
	 0.049068,  0.052132,  0.055195,  0.058258,  0.061321,  0.064383,  0.067444,  0.070505,
	 0.073565,  0.076624,  0.079682,  0.082740,  0.085797,  0.088854,  0.091909,  0.094963,
	 0.098017,  0.101070,  0.104122,  0.107172,  0.110222,  0.113271,  0.116319,  0.119365,
	 0.122411,  0.125455,  0.128498,  0.131540,  0.134581,  0.137620,  0.140658,  0.143695,
	 0.146730,  0.149765,  0.152797,  0.155828,  0.158858,  0.161886,  0.164913,  0.167938,
	 0.170962,  0.173984,  0.177004,  0.180023,  0.183040,  0.186055,  0.189069,  0.192080,
	 0.195090,  0.198098,  0.201105,  0.204109,  0.207111,  0.210112,  0.213110,  0.216107,
	 0.219101,  0.222094,  0.225084,  0.228072,  0.231058,  0.234042,  0.237024,  0.240003,
	 0.242980,  0.245955,  0.248928,  0.251898,  0.254866,  0.257831,  0.260794,  0.263755,
	 0.266713,  0.269668,  0.272621,  0.275572,  0.278520,  0.281465,  0.284408,  0.287347,
	 0.290285,  0.293219,  0.296151,  0.299080,  0.302006,  0.304929,  0.307850,  0.310767,
	 0.313682,  0.316593,  0.319502,  0.322408,  0.325310,  0.328210,  0.331106,  0.334000,
	 0.336890,  0.339777,  0.342661,  0.345541,  0.348419,  0.351293,  0.354164,  0.357031,
	 0.359895,  0.362756,  0.365613,  0.368467,  0.371317,  0.374164,  0.377007,  0.379847,
	 0.382683,  0.385516,  0.388345,  0.391170,  0.393992,  0.396810,  0.399624,  0.402435,
	 0.405241,  0.408044,  0.410843,  0.413638,  0.416430,  0.419217,  0.422000,  0.424780,
	 0.427555,  0.430326,  0.433094,  0.435857,  0.438616,  0.441371,  0.444122,  0.446869,
	 0.449611,  0.452350,  0.455084,  0.457813,  0.460539,  0.463260,  0.465977,  0.468689,
	 0.471397,  0.474100,  0.476799,  0.479494,  0.482184,  0.484869,  0.487550,  0.490226,
	 0.492898,  0.495565,  0.498228,  0.500885,  0.503538,  0.506187,  0.508830,  0.511469,
	 0.514103,  0.516732,  0.519356,  0.521975,  0.524590,  0.527199,  0.529804,  0.532403,
	 0.534998,  0.537587,  0.540171,  0.542751,  0.545325,  0.547894,  0.550458,  0.553017,
	 0.555570,  0.558119,  0.560662,  0.563199,  0.565732,  0.568259,  0.570781,  0.573297,
	 0.575808,  0.578314,  0.580814,  0.583309,  0.585798,  0.588282,  0.590760,  0.593232,
	 0.595699,  0.598161,  0.600616,  0.603067,  0.605511,  0.607950,  0.610383,  0.612810,
	 0.615232,  0.617647,  0.620057,  0.622461,  0.624860,  0.627252,  0.629638,  0.632019,
	 0.634393,  0.636762,  0.639124,  0.641481,  0.643832,  0.646176,  0.648514,  0.650847,
	 0.653173,  0.655493,  0.657807,  0.660114,  0.662416,  0.664711,  0.667000,  0.669283,
	 0.671559,  0.673829,  0.676093,  0.678350,  0.680601,  0.682846,  0.685084,  0.687315,
	 0.689541,  0.691759,  0.693971,  0.696177,  0.698376,  0.700569,  0.702755,  0.704934,
	 0.707107,  0.709273,  0.711432,  0.713585,  0.715731,  0.717870,  0.720003,  0.722128,
	 0.724247,  0.726359,  0.728464,  0.730563,  0.732654,  0.734739,  0.736817,  0.738887,
	 0.740951,  0.743008,  0.745058,  0.747101,  0.749136,  0.751165,  0.753187,  0.755201,
	 0.757209,  0.759209,  0.761202,  0.763188,  0.765167,  0.767139,  0.769103,  0.771061,
	 0.773010,  0.774953,  0.776888,  0.778817,  0.780737,  0.782651,  0.784557,  0.786455,
	 0.788346,  0.790230,  0.792107,  0.793975,  0.795837,  0.797691,  0.799537,  0.801376,
	 0.803208,  0.805031,  0.806848,  0.808656,  0.810457,  0.812251,  0.814036,  0.815814,
	 0.817585,  0.819348,  0.821102,  0.822850,  0.824589,  0.826321,  0.828045,  0.829761,
	 0.831470,  0.833170,  0.834863,  0.836548,  0.838225,  0.839894,  0.841555,  0.843208,
	 0.844854,  0.846491,  0.848120,  0.849742,  0.851355,  0.852961,  0.854558,  0.856147,
	 0.857729,  0.859302,  0.860867,  0.862424,  0.863973,  0.865514,  0.867046,  0.868571,
	 0.870087,  0.871595,  0.873095,  0.874587,  0.876070,  0.877545,  0.879012,  0.880471,
	 0.881921,  0.883363,  0.884797,  0.886223,  0.887640,  0.889048,  0.890449,  0.891841,
	 0.893224,  0.894599,  0.895966,  0.897325,  0.898674,  0.900016,  0.901349,  0.902673,
	 0.903989,  0.905297,  0.906596,  0.907886,  0.909168,  0.910441,  0.911706,  0.912962,
	 0.914210,  0.915449,  0.916679,  0.917901,  0.919114,  0.920318,  0.921514,  0.922701,
	 0.923880,  0.925049,  0.926210,  0.927363,  0.928506,  0.929641,  0.930767,  0.931884,
	 0.932993,  0.934093,  0.935184,  0.936266,  0.937339,  0.938404,  0.939459,  0.940506,
	 0.941544,  0.942573,  0.943593,  0.944605,  0.945607,  0.946601,  0.947586,  0.948561,
	 0.949528,  0.950486,  0.951435,  0.952375,  0.953306,  0.954228,  0.955141,  0.956045,
	 0.956940,  0.957826,  0.958703,  0.959572,  0.960431,  0.961280,  0.962121,  0.962953,
	 0.963776,  0.964590,  0.965394,  0.966190,  0.966976,  0.967754,  0.968522,  0.969281,
	 0.970031,  0.970772,  0.971504,  0.972227,  0.972940,  0.973644,  0.974339,  0.975025,
	 0.975702,  0.976370,  0.977028,  0.977677,  0.978317,  0.978948,  0.979570,  0.980182,
	 0.980785,  0.981379,  0.981964,  0.982539,  0.983105,  0.983662,  0.984210,  0.984748,
	 0.985278,  0.985798,  0.986308,  0.986809,  0.987301,  0.987784,  0.988258,  0.988722,
	 0.989177,  0.989622,  0.990058,  0.990485,  0.990903,  0.991311,  0.991710,  0.992099,
	 0.992480,  0.992850,  0.993212,  0.993564,  0.993907,  0.994240,  0.994565,  0.994879,
	 0.995185,  0.995481,  0.995767,  0.996045,  0.996313,  0.996571,  0.996820,  0.997060,
	 0.997290,  0.997511,  0.997723,  0.997925,  0.998118,  0.998302,  0.998476,  0.998640,
	 0.998795,  0.998941,  0.999078,  0.999205,  0.999322,  0.999431,  0.999529,  0.999619,
	 0.999699,  0.999769,  0.999831,  0.999882,  0.999925,  0.999958,  0.999981,  0.999995
};

static const float cosTable4096[2048] = {
	 1.000000,  0.999999,  0.999995,  0.999989,  0.999981,  0.999971,  0.999958,  0.999942,
	 0.999925,  0.999905,  0.999882,  0.999858,  0.999831,  0.999801,  0.999769,  0.999735,
	 0.999699,  0.999660,  0.999619,  0.999575,  0.999529,  0.999481,  0.999431,  0.999378,
	 0.999322,  0.999265,  0.999205,  0.999142,  0.999078,  0.999011,  0.998941,  0.998870,
	 0.998795,  0.998719,  0.998640,  0.998559,  0.998476,  0.998390,  0.998302,  0.998211,
	 0.998118,  0.998023,  0.997925,  0.997825,  0.997723,  0.997618,  0.997511,  0.997402,
	 0.997290,  0.997176,  0.997060,  0.996941,  0.996820,  0.996697,  0.996571,  0.996443,
	 0.996313,  0.996180,  0.996045,  0.995907,  0.995767,  0.995625,  0.995481,  0.995334,
	 0.995185,  0.995033,  0.994879,  0.994723,  0.994565,  0.994404,  0.994240,  0.994075,
	 0.993907,  0.993737,  0.993564,  0.993389,  0.993212,  0.993032,  0.992850,  0.992666,
	 0.992480,  0.992291,  0.992099,  0.991906,  0.991710,  0.991511,  0.991311,  0.991108,
	 0.990903,  0.990695,  0.990485,  0.990273,  0.990058,  0.989841,  0.989622,  0.989400,
	 0.989177,  0.988950,  0.988722,  0.988491,  0.988258,  0.988022,  0.987784,  0.987544,
	 0.987301,  0.987057,  0.986809,  0.986560,  0.986308,  0.986054,  0.985798,  0.985539,
	 0.985278,  0.985014,  0.984748,  0.984480,  0.984210,  0.983937,  0.983662,  0.983385,
	 0.983105,  0.982824,  0.982539,  0.982253,  0.981964,  0.981673,  0.981379,  0.981083,
	 0.980785,  0.980485,  0.980182,  0.979877,  0.979570,  0.979260,  0.978948,  0.978634,
	 0.978317,  0.977998,  0.977677,  0.977354,  0.977028,  0.976700,  0.976370,  0.976037,
	 0.975702,  0.975365,  0.975025,  0.974684,  0.974339,  0.973993,  0.973644,  0.973293,
	 0.972940,  0.972584,  0.972227,  0.971866,  0.971504,  0.971139,  0.970772,  0.970403,
	 0.970031,  0.969657,  0.969281,  0.968903,  0.968522,  0.968139,  0.967754,  0.967366,
	 0.966976,  0.966584,  0.966190,  0.965793,  0.965394,  0.964993,  0.964590,  0.964184,
	 0.963776,  0.963366,  0.962953,  0.962538,  0.962121,  0.961702,  0.961280,  0.960857,
	 0.960431,  0.960002,  0.959572,  0.959139,  0.958703,  0.958266,  0.957826,  0.957385,
	 0.956940,  0.956494,  0.956045,  0.955594,  0.955141,  0.954686,  0.954228,  0.953768,
	 0.953306,  0.952842,  0.952375,  0.951906,  0.951435,  0.950962,  0.950486,  0.950008,
	 0.949528,  0.949046,  0.948561,  0.948075,  0.947586,  0.947094,  0.946601,  0.946105,
	 0.945607,  0.945107,  0.944605,  0.944100,  0.943593,  0.943084,  0.942573,  0.942060,
	 0.941544,  0.941026,  0.940506,  0.939984,  0.939459,  0.938932,  0.938404,  0.937872,
	 0.937339,  0.936803,  0.936266,  0.935726,  0.935184,  0.934639,  0.934093,  0.933544,
	 0.932993,  0.932440,  0.931884,  0.931327,  0.930767,  0.930205,  0.929641,  0.929075,
	 0.928506,  0.927935,  0.927363,  0.926787,  0.926210,  0.925631,  0.925049,  0.924465,
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	 0.313682,  0.315138,  0.316593,  0.318048,  0.319502,  0.320955,  0.322408,  0.323859,
	 0.325310,  0.326760,  0.328210,  0.329658,  0.331106,  0.332553,  0.334000,  0.335445,
	 0.336890,  0.338334,  0.339777,  0.341219,  0.342661,  0.344101,  0.345541,  0.346980,
	 0.348419,  0.349856,  0.351293,  0.352729,  0.354164,  0.355598,  0.357031,  0.358463,
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	 0.382683,  0.384100,  0.385516,  0.386931,  0.388345,  0.389758,  0.391170,  0.392582,
	 0.393992,  0.395401,  0.396810,  0.398218,  0.399624,  0.401030,  0.402435,  0.403838,
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	 0.416430,  0.417824,  0.419217,  0.420609,  0.422000,  0.423390,  0.424780,  0.426168,
	 0.427555,  0.428941,  0.430326,  0.431711,  0.433094,  0.434476,  0.435857,  0.437237,
	 0.438616,  0.439994,  0.441371,  0.442747,  0.444122,  0.445496,  0.446869,  0.448241,
	 0.449611,  0.450981,  0.452350,  0.453717,  0.455084,  0.456449,  0.457813,  0.459177,
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	 0.482184,  0.483527,  0.484869,  0.486210,  0.487550,  0.488889,  0.490226,  0.491563,
	 0.492898,  0.494232,  0.495565,  0.496897,  0.498228,  0.499557,  0.500885,  0.502212,
	 0.503538,  0.504863,  0.506187,  0.507509,  0.508830,  0.510150,  0.511469,  0.512786,
	 0.514103,  0.515418,  0.516732,  0.518045,  0.519356,  0.520666,  0.521975,  0.523283,
	 0.524590,  0.525895,  0.527199,  0.528502,  0.529804,  0.531104,  0.532403,  0.533701,
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	 0.555570,  0.556845,  0.558119,  0.559391,  0.560662,  0.561931,  0.563199,  0.564466,
	 0.565732,  0.566996,  0.568259,  0.569521,  0.570781,  0.572040,  0.573297,  0.574553,
	 0.575808,  0.577062,  0.578314,  0.579565,  0.580814,  0.582062,  0.583309,  0.584554,
	 0.585798,  0.587040,  0.588282,  0.589521,  0.590760,  0.591997,  0.593232,  0.594467,
	 0.595699,  0.596931,  0.598161,  0.599389,  0.600616,  0.601842,  0.603067,  0.604290,
	 0.605511,  0.606731,  0.607950,  0.609167,  0.610383,  0.611597,  0.612810,  0.614022,
	 0.615232,  0.616440,  0.617647,  0.618853,  0.620057,  0.621260,  0.622461,  0.623661,
	 0.624860,  0.626056,  0.627252,  0.628446,  0.629638,  0.630829,  0.632019,  0.633207,
	 0.634393,  0.635578,  0.636762,  0.637944,  0.639124,  0.640303,  0.641481,  0.642657,
	 0.643832,  0.645005,  0.646176,  0.647346,  0.648514,  0.649681,  0.650847,  0.652011,
	 0.653173,  0.654334,  0.655493,  0.656651,  0.657807,  0.658961,  0.660114,  0.661266,
	 0.662416,  0.663564,  0.664711,  0.665856,  0.667000,  0.668142,  0.669283,  0.670422,
	 0.671559,  0.672695,  0.673829,  0.674962,  0.676093,  0.677222,  0.678350,  0.679476,
	 0.680601,  0.681724,  0.682846,  0.683965,  0.685084,  0.686200,  0.687315,  0.688429,
	 0.689541,  0.690651,  0.691759,  0.692866,  0.693971,  0.695075,  0.696177,  0.697277,
	 0.698376,  0.699473,  0.700569,  0.701663,  0.702755,  0.703845,  0.704934,  0.706021,
	 0.707107,  0.708191,  0.709273,  0.710353,  0.711432,  0.712509,  0.713585,  0.714659,
	 0.715731,  0.716801,  0.717870,  0.718937,  0.720003,  0.721066,  0.722128,  0.723188,
	 0.724247,  0.725304,  0.726359,  0.727413,  0.728464,  0.729514,  0.730563,  0.731609,
	 0.732654,  0.733697,  0.734739,  0.735779,  0.736817,  0.737853,  0.738887,  0.739920,
	 0.740951,  0.741980,  0.743008,  0.744034,  0.745058,  0.746080,  0.747101,  0.748119,
	 0.749136,  0.750152,  0.751165,  0.752177,  0.753187,  0.754195,  0.755201,  0.756206,
	 0.757209,  0.758210,  0.759209,  0.760207,  0.761202,  0.762196,  0.763188,  0.764179,
	 0.765167,  0.766154,  0.767139,  0.768122,  0.769103,  0.770083,  0.771061,  0.772036,
	 0.773010,  0.773983,  0.774953,  0.775922,  0.776888,  0.777853,  0.778817,  0.779778,
	 0.780737,  0.781695,  0.782651,  0.783605,  0.784557,  0.785507,  0.786455,  0.787402,
	 0.788346,  0.789289,  0.790230,  0.791169,  0.792107,  0.793042,  0.793975,  0.794907,
	 0.795837,  0.796765,  0.797691,  0.798615,  0.799537,  0.800458,  0.801376,  0.802293,
	 0.803208,  0.804120,  0.805031,  0.805940,  0.806848,  0.807753,  0.808656,  0.809558,
	 0.810457,  0.811355,  0.812251,  0.813144,  0.814036,  0.814926,  0.815814,  0.816701,
	 0.817585,  0.818467,  0.819348,  0.820226,  0.821102,  0.821977,  0.822850,  0.823721,
	 0.824589,  0.825456,  0.826321,  0.827184,  0.828045,  0.828904,  0.829761,  0.830616,
	 0.831470,  0.832321,  0.833170,  0.834018,  0.834863,  0.835706,  0.836548,  0.837387,
	 0.838225,  0.839060,  0.839894,  0.840725,  0.841555,  0.842383,  0.843208,  0.844032,
	 0.844854,  0.845673,  0.846491,  0.847307,  0.848120,  0.848932,  0.849742,  0.850549,
	 0.851355,  0.852159,  0.852961,  0.853760,  0.854558,  0.855354,  0.856147,  0.856939,
	 0.857729,  0.858516,  0.859302,  0.860085,  0.860867,  0.861646,  0.862424,  0.863199,
	 0.863973,  0.864744,  0.865514,  0.866281,  0.867046,  0.867809,  0.868571,  0.869330,
	 0.870087,  0.870842,  0.871595,  0.872346,  0.873095,  0.873842,  0.874587,  0.875329,
	 0.876070,  0.876809,  0.877545,  0.878280,  0.879012,  0.879743,  0.880471,  0.881197,
	 0.881921,  0.882643,  0.883363,  0.884081,  0.884797,  0.885511,  0.886223,  0.886932,
	 0.887640,  0.888345,  0.889048,  0.889750,  0.890449,  0.891146,  0.891841,  0.892534,
	 0.893224,  0.893913,  0.894599,  0.895284,  0.895966,  0.896646,  0.897325,  0.898001,
	 0.898674,  0.899346,  0.900016,  0.900683,  0.901349,  0.902012,  0.902673,  0.903332,
	 0.903989,  0.904644,  0.905297,  0.905947,  0.906596,  0.907242,  0.907886,  0.908528,
	 0.909168,  0.909806,  0.910441,  0.911075,  0.911706,  0.912335,  0.912962,  0.913587,
	 0.914210,  0.914830,  0.915449,  0.916065,  0.916679,  0.917291,  0.917901,  0.918508,
	 0.919114,  0.919717,  0.920318,  0.920917,  0.921514,  0.922109,  0.922701,  0.923291,
	 0.923880,  0.924465,  0.925049,  0.925631,  0.926210,  0.926787,  0.927363,  0.927935,
	 0.928506,  0.929075,  0.929641,  0.930205,  0.930767,  0.931327,  0.931884,  0.932440,
	 0.932993,  0.933544,  0.934093,  0.934639,  0.935184,  0.935726,  0.936266,  0.936803,
	 0.937339,  0.937872,  0.938404,  0.938932,  0.939459,  0.939984,  0.940506,  0.941026,
	 0.941544,  0.942060,  0.942573,  0.943084,  0.943593,  0.944100,  0.944605,  0.945107,
	 0.945607,  0.946105,  0.946601,  0.947094,  0.947586,  0.948075,  0.948561,  0.949046,
	 0.949528,  0.950008,  0.950486,  0.950962,  0.951435,  0.951906,  0.952375,  0.952842,
	 0.953306,  0.953768,  0.954228,  0.954686,  0.955141,  0.955594,  0.956045,  0.956494,
	 0.956940,  0.957385,  0.957826,  0.958266,  0.958703,  0.959139,  0.959572,  0.960002,
	 0.960431,  0.960857,  0.961280,  0.961702,  0.962121,  0.962538,  0.962953,  0.963366,
	 0.963776,  0.964184,  0.964590,  0.964993,  0.965394,  0.965793,  0.966190,  0.966584,
	 0.966976,  0.967366,  0.967754,  0.968139,  0.968522,  0.968903,  0.969281,  0.969657,
	 0.970031,  0.970403,  0.970772,  0.971139,  0.971504,  0.971866,  0.972227,  0.972584,
	 0.972940,  0.973293,  0.973644,  0.973993,  0.974339,  0.974684,  0.975025,  0.975365,
	 0.975702,  0.976037,  0.976370,  0.976700,  0.977028,  0.977354,  0.977677,  0.977998,
	 0.978317,  0.978634,  0.978948,  0.979260,  0.979570,  0.979877,  0.980182,  0.980485,
	 0.980785,  0.981083,  0.981379,  0.981673,  0.981964,  0.982253,  0.982539,  0.982824,
	 0.983105,  0.983385,  0.983662,  0.983937,  0.984210,  0.984480,  0.984748,  0.985014,
	 0.985278,  0.985539,  0.985798,  0.986054,  0.986308,  0.986560,  0.986809,  0.987057,
	 0.987301,  0.987544,  0.987784,  0.988022,  0.988258,  0.988491,  0.988722,  0.988950,
	 0.989177,  0.989400,  0.989622,  0.989841,  0.990058,  0.990273,  0.990485,  0.990695,
	 0.990903,  0.991108,  0.991311,  0.991511,  0.991710,  0.991906,  0.992099,  0.992291,
	 0.992480,  0.992666,  0.992850,  0.993032,  0.993212,  0.993389,  0.993564,  0.993737,
	 0.993907,  0.994075,  0.994240,  0.994404,  0.994565,  0.994723,  0.994879,  0.995033,
	 0.995185,  0.995334,  0.995481,  0.995625,  0.995767,  0.995907,  0.996045,  0.996180,
	 0.996313,  0.996443,  0.996571,  0.996697,  0.996820,  0.996941,  0.997060,  0.997176,
	 0.997290,  0.997402,  0.997511,  0.997618,  0.997723,  0.997825,  0.997925,  0.998023,
	 0.998118,  0.998211,  0.998302,  0.998390,  0.998476,  0.998559,  0.998640,  0.998719,
	 0.998795,  0.998870,  0.998941,  0.999011,  0.999078,  0.999142,  0.999205,  0.999265,
	 0.999322,  0.999378,  0.999431,  0.999481,  0.999529,  0.999575,  0.999619,  0.999660,
	 0.999699,  0.999735,  0.999769,  0.999801,  0.999831,  0.999858,  0.999882,  0.999905,
	 0.999925,  0.999942,  0.999958,  0.999971,  0.999981,  0.999989,  0.999995,  0.999999
};

static const float cosTable8192[4096] = {
	 1.000000,  1.000000,  0.999999,  0.999997,  0.999995,  0.999993,  0.999989,  0.999986,
	 0.999981,  0.999976,  0.999971,  0.999964,  0.999958,  0.999950,  0.999942,  0.999934,
	 0.999925,  0.999915,  0.999905,  0.999894,  0.999882,  0.999870,  0.999858,  0.999844,
	 0.999831,  0.999816,  0.999801,  0.999786,  0.999769,  0.999753,  0.999735,  0.999717,
	 0.999699,  0.999680,  0.999660,  0.999640,  0.999619,  0.999597,  0.999575,  0.999553,
	 0.999529,  0.999506,  0.999481,  0.999456,  0.999431,  0.999404,  0.999378,  0.999350,
	 0.999322,  0.999294,  0.999265,  0.999235,  0.999205,  0.999174,  0.999142,  0.999110,
	 0.999078,  0.999044,  0.999011,  0.998976,  0.998941,  0.998906,  0.998870,  0.998833,
	 0.998795,  0.998758,  0.998719,  0.998680,  0.998640,  0.998600,  0.998559,  0.998518,
	 0.998476,  0.998433,  0.998390,  0.998346,  0.998302,  0.998257,  0.998211,  0.998165,
	 0.998118,  0.998071,  0.998023,  0.997974,  0.997925,  0.997876,  0.997825,  0.997774,
	 0.997723,  0.997671,  0.997618,  0.997565,  0.997511,  0.997457,  0.997402,  0.997347,
	 0.997290,  0.997234,  0.997176,  0.997119,  0.997060,  0.997001,  0.996941,  0.996881,
	 0.996820,  0.996759,  0.996697,  0.996634,  0.996571,  0.996507,  0.996443,  0.996378,
	 0.996313,  0.996247,  0.996180,  0.996113,  0.996045,  0.995976,  0.995907,  0.995838,
	 0.995767,  0.995697,  0.995625,  0.995553,  0.995481,  0.995408,  0.995334,  0.995260,
	 0.995185,  0.995109,  0.995033,  0.994957,  0.994879,  0.994802,  0.994723,  0.994644,
	 0.994565,  0.994484,  0.994404,  0.994322,  0.994240,  0.994158,  0.994075,  0.993991,
	 0.993907,  0.993822,  0.993737,  0.993651,  0.993564,  0.993477,  0.993389,  0.993301,
	 0.993212,  0.993122,  0.993032,  0.992942,  0.992850,  0.992759,  0.992666,  0.992573,
	 0.992480,  0.992385,  0.992291,  0.992195,  0.992099,  0.992003,  0.991906,  0.991808,
	 0.991710,  0.991611,  0.991511,  0.991411,  0.991311,  0.991210,  0.991108,  0.991006,
	 0.990903,  0.990799,  0.990695,  0.990590,  0.990485,  0.990379,  0.990273,  0.990166,
	 0.990058,  0.989950,  0.989841,  0.989732,  0.989622,  0.989511,  0.989400,  0.989289,
	 0.989177,  0.989064,  0.988950,  0.988836,  0.988722,  0.988607,  0.988491,  0.988374,
	 0.988258,  0.988140,  0.988022,  0.987903,  0.987784,  0.987664,  0.987544,  0.987423,
	 0.987301,  0.987179,  0.987057,  0.986933,  0.986809,  0.986685,  0.986560,  0.986434,
	 0.986308,  0.986181,  0.986054,  0.985926,  0.985798,  0.985668,  0.985539,  0.985408,
	 0.985278,  0.985146,  0.985014,  0.984882,  0.984748,  0.984615,  0.984480,  0.984346,
	 0.984210,  0.984074,  0.983937,  0.983800,  0.983662,  0.983524,  0.983385,  0.983246,
	 0.983105,  0.982965,  0.982824,  0.982682,  0.982539,  0.982396,  0.982253,  0.982109,
	 0.981964,  0.981819,  0.981673,  0.981526,  0.981379,  0.981232,  0.981083,  0.980935,
	 0.980785,  0.980635,  0.980485,  0.980334,  0.980182,  0.980030,  0.979877,  0.979724,
	 0.979570,  0.979415,  0.979260,  0.979104,  0.978948,  0.978791,  0.978634,  0.978476,
	 0.978317,  0.978158,  0.977998,  0.977838,  0.977677,  0.977516,  0.977354,  0.977191,
	 0.977028,  0.976864,  0.976700,  0.976535,  0.976370,  0.976204,  0.976037,  0.975870,
	 0.975702,  0.975534,  0.975365,  0.975195,  0.975025,  0.974855,  0.974684,  0.974512,
	 0.974339,  0.974166,  0.973993,  0.973819,  0.973644,  0.973469,  0.973293,  0.973117,
	 0.972940,  0.972762,  0.972584,  0.972406,  0.972227,  0.972047,  0.971866,  0.971685,
	 0.971504,  0.971322,  0.971139,  0.970956,  0.970772,  0.970588,  0.970403,  0.970217,
	 0.970031,  0.969845,  0.969657,  0.969470,  0.969281,  0.969092,  0.968903,  0.968713,
	 0.968522,  0.968331,  0.968139,  0.967947,  0.967754,  0.967560,  0.967366,  0.967172,
	 0.966976,  0.966781,  0.966584,  0.966387,  0.966190,  0.965992,  0.965793,  0.965594,
	 0.965394,  0.965194,  0.964993,  0.964792,  0.964590,  0.964387,  0.964184,  0.963980,
	 0.963776,  0.963571,  0.963366,  0.963160,  0.962953,  0.962746,  0.962538,  0.962330,
	 0.962121,  0.961912,  0.961702,  0.961492,  0.961280,  0.961069,  0.960857,  0.960644,
	 0.960431,  0.960217,  0.960002,  0.959787,  0.959572,  0.959355,  0.959139,  0.958921,
	 0.958703,  0.958485,  0.958266,  0.958046,  0.957826,  0.957606,  0.957385,  0.957163,
	 0.956940,  0.956717,  0.956494,  0.956270,  0.956045,  0.955820,  0.955594,  0.955368,
	 0.955141,  0.954914,  0.954686,  0.954457,  0.954228,  0.953998,  0.953768,  0.953537,
	 0.953306,  0.953074,  0.952842,  0.952609,  0.952375,  0.952141,  0.951906,  0.951671,
	 0.951435,  0.951199,  0.950962,  0.950724,  0.950486,  0.950247,  0.950008,  0.949768,
	 0.949528,  0.949287,  0.949046,  0.948804,  0.948561,  0.948318,  0.948075,  0.947830,
	 0.947586,  0.947340,  0.947094,  0.946848,  0.946601,  0.946353,  0.946105,  0.945857,
	 0.945607,  0.945358,  0.945107,  0.944856,  0.944605,  0.944353,  0.944100,  0.943847,
	 0.943593,  0.943339,  0.943084,  0.942829,  0.942573,  0.942317,  0.942060,  0.941802,
	 0.941544,  0.941285,  0.941026,  0.940766,  0.940506,  0.940245,  0.939984,  0.939722,
	 0.939459,  0.939196,  0.938932,  0.938668,  0.938404,  0.938138,  0.937872,  0.937606,
	 0.937339,  0.937072,  0.936803,  0.936535,  0.936266,  0.935996,  0.935726,  0.935455,
	 0.935184,  0.934912,  0.934639,  0.934366,  0.934093,  0.933818,  0.933544,  0.933269,
	 0.932993,  0.932716,  0.932440,  0.932162,  0.931884,  0.931606,  0.931327,  0.931047,
	 0.930767,  0.930486,  0.930205,  0.929923,  0.929641,  0.929358,  0.929075,  0.928791,
	 0.928506,  0.928221,  0.927935,  0.927649,  0.927363,  0.927075,  0.926787,  0.926499,
	 0.926210,  0.925921,  0.925631,  0.925340,  0.925049,  0.924758,  0.924465,  0.924173,
	 0.923880,  0.923586,  0.923291,  0.922997,  0.922701,  0.922405,  0.922109,  0.921812,
	 0.921514,  0.921216,  0.920917,  0.920618,  0.920318,  0.920018,  0.919717,  0.919416,
	 0.919114,  0.918811,  0.918508,  0.918205,  0.917901,  0.917596,  0.917291,  0.916985,
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	 0.388345,  0.387638,  0.386931,  0.386224,  0.385516,  0.384808,  0.384100,  0.383392,
	 0.382683,  0.381975,  0.381266,  0.380557,  0.379847,  0.379138,  0.378428,  0.377718,
	 0.377007,  0.376297,  0.375586,  0.374875,  0.374164,  0.373453,  0.372741,  0.372029,
	 0.371317,  0.370605,  0.369892,  0.369180,  0.368467,  0.367754,  0.367040,  0.366327,
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	 0.354164,  0.353446,  0.352729,  0.352011,  0.351293,  0.350575,  0.349856,  0.349138,
	 0.348419,  0.347700,  0.346980,  0.346261,  0.345541,  0.344821,  0.344101,  0.343381,
	 0.342661,  0.341940,  0.341219,  0.340498,  0.339777,  0.339055,  0.338334,  0.337612,
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	 0.325310,  0.324585,  0.323859,  0.323134,  0.322408,  0.321682,  0.320955,  0.320229,
	 0.319502,  0.318775,  0.318048,  0.317321,  0.316593,  0.315866,  0.315138,  0.314410,
	 0.313682,  0.312953,  0.312225,  0.311496,  0.310767,  0.310038,  0.309309,  0.308579,
	 0.307850,  0.307120,  0.306390,  0.305660,  0.304929,  0.304199,  0.303468,  0.302737,
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	 0.260794,  0.260054,  0.259313,  0.258572,  0.257831,  0.257090,  0.256349,  0.255607,
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	 0.189069,  0.188315,  0.187562,  0.186809,  0.186055,  0.185301,  0.184548,  0.183794,
	 0.183040,  0.182286,  0.181532,  0.180777,  0.180023,  0.179268,  0.178514,  0.177759,
	 0.177004,  0.176249,  0.175494,  0.174739,  0.173984,  0.173229,  0.172473,  0.171718,
	 0.170962,  0.170206,  0.169450,  0.168694,  0.167938,  0.167182,  0.166426,  0.165670,
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	 0.158858,  0.158101,  0.157343,  0.156586,  0.155828,  0.155071,  0.154313,  0.153555,
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	 0.140658,  0.139899,  0.139139,  0.138380,  0.137620,  0.136860,  0.136101,  0.135341,
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	 0.128498,  0.127737,  0.126977,  0.126216,  0.125455,  0.124694,  0.123933,  0.123172,
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	 0.116319,  0.115557,  0.114795,  0.114033,  0.113271,  0.112509,  0.111747,  0.110984,
	 0.110222,  0.109460,  0.108697,  0.107935,  0.107172,  0.106410,  0.105647,  0.104884,
	 0.104122,  0.103359,  0.102596,  0.101833,  0.101070,  0.100307,  0.099544,  0.098780,
	 0.098017,  0.097254,  0.096490,  0.095727,  0.094963,  0.094200,  0.093436,  0.092673,
	 0.091909,  0.091145,  0.090381,  0.089617,  0.088854,  0.088090,  0.087326,  0.086561,
	 0.085797,  0.085033,  0.084269,  0.083505,  0.082740,  0.081976,  0.081211,  0.080447,
	 0.079682,  0.078918,  0.078153,  0.077389,  0.076624,  0.075859,  0.075094,  0.074329,
	 0.073565,  0.072800,  0.072035,  0.071270,  0.070505,  0.069739,  0.068974,  0.068209,
	 0.067444,  0.066679,  0.065913,  0.065148,  0.064383,  0.063617,  0.062852,  0.062086,
	 0.061321,  0.060555,  0.059790,  0.059024,  0.058258,  0.057493,  0.056727,  0.055961,
	 0.055195,  0.054429,  0.053664,  0.052898,  0.052132,  0.051366,  0.050600,  0.049834,
	 0.049068,  0.048302,  0.047535,  0.046769,  0.046003,  0.045237,  0.044471,  0.043705,
	 0.042938,  0.042172,  0.041406,  0.040639,  0.039873,  0.039107,  0.038340,  0.037574,
	 0.036807,  0.036041,  0.035274,  0.034508,  0.033741,  0.032975,  0.032208,  0.031441,
	 0.030675,  0.029908,  0.029142,  0.028375,  0.027608,  0.026841,  0.026075,  0.025308,
	 0.024541,  0.023774,  0.023008,  0.022241,  0.021474,  0.020707,  0.019940,  0.019174,
	 0.018407,  0.017640,  0.016873,  0.016106,  0.015339,  0.014572,  0.013805,  0.013038,
	 0.012272,  0.011505,  0.010738,  0.009971,  0.009204,  0.008437,  0.007670,  0.006903,
	 0.006136,  0.005369,  0.004602,  0.003835,  0.003068,  0.002301,  0.001534,  0.000767,
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	 0.006136,  0.006903,  0.007670,  0.008437,  0.009204,  0.009971,  0.010738,  0.011505,
	 0.012272,  0.013038,  0.013805,  0.014572,  0.015339,  0.016106,  0.016873,  0.017640,
	 0.018407,  0.019174,  0.019940,  0.020707,  0.021474,  0.022241,  0.023008,  0.023774,
	 0.024541,  0.025308,  0.026075,  0.026841,  0.027608,  0.028375,  0.029142,  0.029908,
	 0.030675,  0.031441,  0.032208,  0.032975,  0.033741,  0.034508,  0.035274,  0.036041,
	 0.036807,  0.037574,  0.038340,  0.039107,  0.039873,  0.040639,  0.041406,  0.042172,
	 0.042938,  0.043705,  0.044471,  0.045237,  0.046003,  0.046769,  0.047535,  0.048302,
	 0.049068,  0.049834,  0.050600,  0.051366,  0.052132,  0.052898,  0.053664,  0.054429,
	 0.055195,  0.055961,  0.056727,  0.057493,  0.058258,  0.059024,  0.059790,  0.060555,
	 0.061321,  0.062086,  0.062852,  0.063617,  0.064383,  0.065148,  0.065913,  0.066679,
	 0.067444,  0.068209,  0.068974,  0.069739,  0.070505,  0.071270,  0.072035,  0.072800,
	 0.073565,  0.074329,  0.075094,  0.075859,  0.076624,  0.077389,  0.078153,  0.078918,
	 0.079682,  0.080447,  0.081211,  0.081976,  0.082740,  0.083505,  0.084269,  0.085033,
	 0.085797,  0.086561,  0.087326,  0.088090,  0.088854,  0.089617,  0.090381,  0.091145,
	 0.091909,  0.092673,  0.093436,  0.094200,  0.094963,  0.095727,  0.096490,  0.097254,
	 0.098017,  0.098780,  0.099544,  0.100307,  0.101070,  0.101833,  0.102596,  0.103359,
	 0.104122,  0.104884,  0.105647,  0.106410,  0.107172,  0.107935,  0.108697,  0.109460,
	 0.110222,  0.110984,  0.111747,  0.112509,  0.113271,  0.114033,  0.114795,  0.115557,
	 0.116319,  0.117080,  0.117842,  0.118604,  0.119365,  0.120127,  0.120888,  0.121649,
	 0.122411,  0.123172,  0.123933,  0.124694,  0.125455,  0.126216,  0.126977,  0.127737,
	 0.128498,  0.129259,  0.130019,  0.130780,  0.131540,  0.132300,  0.133061,  0.133821,
	 0.134581,  0.135341,  0.136101,  0.136860,  0.137620,  0.138380,  0.139139,  0.139899,
	 0.140658,  0.141418,  0.142177,  0.142936,  0.143695,  0.144454,  0.145213,  0.145972,
	 0.146730,  0.147489,  0.148248,  0.149006,  0.149765,  0.150523,  0.151281,  0.152039,
	 0.152797,  0.153555,  0.154313,  0.155071,  0.155828,  0.156586,  0.157343,  0.158101,
	 0.158858,  0.159615,  0.160372,  0.161129,  0.161886,  0.162643,  0.163400,  0.164157,
	 0.164913,  0.165670,  0.166426,  0.167182,  0.167938,  0.168694,  0.169450,  0.170206,
	 0.170962,  0.171718,  0.172473,  0.173229,  0.173984,  0.174739,  0.175494,  0.176249,
	 0.177004,  0.177759,  0.178514,  0.179268,  0.180023,  0.180777,  0.181532,  0.182286,
	 0.183040,  0.183794,  0.184548,  0.185301,  0.186055,  0.186809,  0.187562,  0.188315,
	 0.189069,  0.189822,  0.190575,  0.191328,  0.192080,  0.192833,  0.193586,  0.194338,
	 0.195090,  0.195843,  0.196595,  0.197347,  0.198098,  0.198850,  0.199602,  0.200353,
	 0.201105,  0.201856,  0.202607,  0.203358,  0.204109,  0.204860,  0.205610,  0.206361,
	 0.207111,  0.207862,  0.208612,  0.209362,  0.210112,  0.210862,  0.211611,  0.212361,
	 0.213110,  0.213860,  0.214609,  0.215358,  0.216107,  0.216856,  0.217604,  0.218353,
	 0.219101,  0.219850,  0.220598,  0.221346,  0.222094,  0.222841,  0.223589,  0.224337,
	 0.225084,  0.225831,  0.226578,  0.227325,  0.228072,  0.228819,  0.229565,  0.230312,
	 0.231058,  0.231804,  0.232550,  0.233296,  0.234042,  0.234788,  0.235533,  0.236278,
	 0.237024,  0.237769,  0.238514,  0.239258,  0.240003,  0.240748,  0.241492,  0.242236,
	 0.242980,  0.243724,  0.244468,  0.245212,  0.245955,  0.246698,  0.247442,  0.248185,
	 0.248928,  0.249670,  0.250413,  0.251155,  0.251898,  0.252640,  0.253382,  0.254124,
	 0.254866,  0.255607,  0.256349,  0.257090,  0.257831,  0.258572,  0.259313,  0.260054,
	 0.260794,  0.261534,  0.262275,  0.263015,  0.263755,  0.264494,  0.265234,  0.265973,
	 0.266713,  0.267452,  0.268191,  0.268930,  0.269668,  0.270407,  0.271145,  0.271883,
	 0.272621,  0.273359,  0.274097,  0.274834,  0.275572,  0.276309,  0.277046,  0.277783,
	 0.278520,  0.279256,  0.279993,  0.280729,  0.281465,  0.282201,  0.282937,  0.283672,
	 0.284408,  0.285143,  0.285878,  0.286613,  0.287347,  0.288082,  0.288816,  0.289551,
	 0.290285,  0.291019,  0.291752,  0.292486,  0.293219,  0.293952,  0.294685,  0.295418,
	 0.296151,  0.296883,  0.297616,  0.298348,  0.299080,  0.299812,  0.300543,  0.301275,
	 0.302006,  0.302737,  0.303468,  0.304199,  0.304929,  0.305660,  0.306390,  0.307120,
	 0.307850,  0.308579,  0.309309,  0.310038,  0.310767,  0.311496,  0.312225,  0.312953,
	 0.313682,  0.314410,  0.315138,  0.315866,  0.316593,  0.317321,  0.318048,  0.318775,
	 0.319502,  0.320229,  0.320955,  0.321682,  0.322408,  0.323134,  0.323859,  0.324585,
	 0.325310,  0.326035,  0.326760,  0.327485,  0.328210,  0.328934,  0.329658,  0.330382,
	 0.331106,  0.331830,  0.332553,  0.333277,  0.334000,  0.334722,  0.335445,  0.336168,
	 0.336890,  0.337612,  0.338334,  0.339055,  0.339777,  0.340498,  0.341219,  0.341940,
	 0.342661,  0.343381,  0.344101,  0.344821,  0.345541,  0.346261,  0.346980,  0.347700,
	 0.348419,  0.349138,  0.349856,  0.350575,  0.351293,  0.352011,  0.352729,  0.353446,
	 0.354164,  0.354881,  0.355598,  0.356314,  0.357031,  0.357747,  0.358463,  0.359179,
	 0.359895,  0.360611,  0.361326,  0.362041,  0.362756,  0.363470,  0.364185,  0.364899,
	 0.365613,  0.366327,  0.367040,  0.367754,  0.368467,  0.369180,  0.369892,  0.370605,
	 0.371317,  0.372029,  0.372741,  0.373453,  0.374164,  0.374875,  0.375586,  0.376297,
	 0.377007,  0.377718,  0.378428,  0.379138,  0.379847,  0.380557,  0.381266,  0.381975,
	 0.382683,  0.383392,  0.384100,  0.384808,  0.385516,  0.386224,  0.386931,  0.387638,
	 0.388345,  0.389052,  0.389758,  0.390464,  0.391170,  0.391876,  0.392582,  0.393287,
	 0.393992,  0.394697,  0.395401,  0.396106,  0.396810,  0.397514,  0.398218,  0.398921,
	 0.399624,  0.400327,  0.401030,  0.401732,  0.402435,  0.403137,  0.403838,  0.404540,
	 0.405241,  0.405942,  0.406643,  0.407344,  0.408044,  0.408744,  0.409444,  0.410144,
	 0.410843,  0.411542,  0.412241,  0.412940,  0.413638,  0.414337,  0.415034,  0.415732,
	 0.416430,  0.417127,  0.417824,  0.418520,  0.419217,  0.419913,  0.420609,  0.421305,
	 0.422000,  0.422695,  0.423390,  0.424085,  0.424780,  0.425474,  0.426168,  0.426862,
	 0.427555,  0.428248,  0.428941,  0.429634,  0.430326,  0.431019,  0.431711,  0.432402,
	 0.433094,  0.433785,  0.434476,  0.435167,  0.435857,  0.436547,  0.437237,  0.437927,
	 0.438616,  0.439305,  0.439994,  0.440683,  0.441371,  0.442059,  0.442747,  0.443435,
	 0.444122,  0.444809,  0.445496,  0.446183,  0.446869,  0.447555,  0.448241,  0.448926,
	 0.449611,  0.450296,  0.450981,  0.451665,  0.452350,  0.453033,  0.453717,  0.454400,
	 0.455084,  0.455766,  0.456449,  0.457131,  0.457813,  0.458495,  0.459177,  0.459858,
	 0.460539,  0.461219,  0.461900,  0.462580,  0.463260,  0.463939,  0.464619,  0.465298,
	 0.465977,  0.466655,  0.467333,  0.468011,  0.468689,  0.469366,  0.470043,  0.470720,
	 0.471397,  0.472073,  0.472749,  0.473425,  0.474100,  0.474775,  0.475450,  0.476125,
	 0.476799,  0.477473,  0.478147,  0.478821,  0.479494,  0.480167,  0.480839,  0.481512,
	 0.482184,  0.482856,  0.483527,  0.484198,  0.484869,  0.485540,  0.486210,  0.486880,
	 0.487550,  0.488220,  0.488889,  0.489558,  0.490226,  0.490895,  0.491563,  0.492231,
	 0.492898,  0.493565,  0.494232,  0.494899,  0.495565,  0.496231,  0.496897,  0.497562,
	 0.498228,  0.498893,  0.499557,  0.500221,  0.500885,  0.501549,  0.502212,  0.502876,
	 0.503538,  0.504201,  0.504863,  0.505525,  0.506187,  0.506848,  0.507509,  0.508170,
	 0.508830,  0.509490,  0.510150,  0.510810,  0.511469,  0.512128,  0.512786,  0.513445,
	 0.514103,  0.514760,  0.515418,  0.516075,  0.516732,  0.517388,  0.518045,  0.518700,
	 0.519356,  0.520011,  0.520666,  0.521321,  0.521975,  0.522629,  0.523283,  0.523937,
	 0.524590,  0.525243,  0.525895,  0.526547,  0.527199,  0.527851,  0.528502,  0.529153,
	 0.529804,  0.530454,  0.531104,  0.531754,  0.532403,  0.533052,  0.533701,  0.534349,
	 0.534998,  0.535645,  0.536293,  0.536940,  0.537587,  0.538234,  0.538880,  0.539526,
	 0.540171,  0.540817,  0.541462,  0.542106,  0.542751,  0.543395,  0.544039,  0.544682,
	 0.545325,  0.545968,  0.546610,  0.547252,  0.547894,  0.548536,  0.549177,  0.549818,
	 0.550458,  0.551098,  0.551738,  0.552378,  0.553017,  0.553656,  0.554294,  0.554932,
	 0.555570,  0.556208,  0.556845,  0.557482,  0.558119,  0.558755,  0.559391,  0.560026,
	 0.560662,  0.561297,  0.561931,  0.562565,  0.563199,  0.563833,  0.564466,  0.565099,
	 0.565732,  0.566364,  0.566996,  0.567628,  0.568259,  0.568890,  0.569521,  0.570151,
	 0.570781,  0.571410,  0.572040,  0.572669,  0.573297,  0.573925,  0.574553,  0.575181,
	 0.575808,  0.576435,  0.577062,  0.577688,  0.578314,  0.578939,  0.579565,  0.580189,
	 0.580814,  0.581438,  0.582062,  0.582685,  0.583309,  0.583931,  0.584554,  0.585176,
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	 0.998476,  0.998518,  0.998559,  0.998600,  0.998640,  0.998680,  0.998719,  0.998758,
	 0.998795,  0.998833,  0.998870,  0.998906,  0.998941,  0.998976,  0.999011,  0.999044,
	 0.999078,  0.999110,  0.999142,  0.999174,  0.999205,  0.999235,  0.999265,  0.999294,
	 0.999322,  0.999350,  0.999378,  0.999404,  0.999431,  0.999456,  0.999481,  0.999506,
	 0.999529,  0.999553,  0.999575,  0.999597,  0.999619,  0.999640,  0.999660,  0.999680,
	 0.999699,  0.999717,  0.999735,  0.999753,  0.999769,  0.999786,  0.999801,  0.999816,
	 0.999831,  0.999844,  0.999858,  0.999870,  0.999882,  0.999894,  0.999905,  0.999915,
	 0.999925,  0.999934,  0.999942,  0.999950,  0.999958,  0.999964,  0.999971,  0.999976,
	 0.999981,  0.999986,  0.999989,  0.999993,  0.999995,  0.999997,  0.999999,  1.000000
};

static const float cosTable16384[8192] = {
	 1.000000,  1.000000,  1.000000,  0.999999,  0.999999,  0.999998,  0.999997,  0.999996,
	 0.999995,  0.999994,  0.999993,  0.999991,  0.999989,  0.999988,  0.999986,  0.999983,
	 0.999981,  0.999979,  0.999976,  0.999973,  0.999971,  0.999968,  0.999964,  0.999961,
	 0.999958,  0.999954,  0.999950,  0.999946,  0.999942,  0.999938,  0.999934,  0.999929,
	 0.999925,  0.999920,  0.999915,  0.999910,  0.999905,  0.999899,  0.999894,  0.999888,
	 0.999882,  0.999876,  0.999870,  0.999864,  0.999858,  0.999851,  0.999844,  0.999838,
	 0.999831,  0.999823,  0.999816,  0.999809,  0.999801,  0.999793,  0.999786,  0.999778,
	 0.999769,  0.999761,  0.999753,  0.999744,  0.999735,  0.999726,  0.999717,  0.999708,
	 0.999699,  0.999689,  0.999680,  0.999670,  0.999660,  0.999650,  0.999640,  0.999629,
	 0.999619,  0.999608,  0.999597,  0.999586,  0.999575,  0.999564,  0.999553,  0.999541,
	 0.999529,  0.999518,  0.999506,  0.999493,  0.999481,  0.999469,  0.999456,  0.999443,
	 0.999431,  0.999418,  0.999404,  0.999391,  0.999378,  0.999364,  0.999350,  0.999336,
	 0.999322,  0.999308,  0.999294,  0.999279,  0.999265,  0.999250,  0.999235,  0.999220,
	 0.999205,  0.999189,  0.999174,  0.999158,  0.999142,  0.999126,  0.999110,  0.999094,
	 0.999078,  0.999061,  0.999044,  0.999028,  0.999011,  0.998994,  0.998976,  0.998959,
	 0.998941,  0.998924,  0.998906,  0.998888,  0.998870,  0.998851,  0.998833,  0.998814,
	 0.998795,  0.998777,  0.998758,  0.998738,  0.998719,  0.998700,  0.998680,  0.998660,
	 0.998640,  0.998620,  0.998600,  0.998580,  0.998559,  0.998538,  0.998518,  0.998497,
	 0.998476,  0.998454,  0.998433,  0.998411,  0.998390,  0.998368,  0.998346,  0.998324,
	 0.998302,  0.998279,  0.998257,  0.998234,  0.998211,  0.998188,  0.998165,  0.998142,
	 0.998118,  0.998094,  0.998071,  0.998047,  0.998023,  0.997999,  0.997974,  0.997950,
	 0.997925,  0.997901,  0.997876,  0.997851,  0.997825,  0.997800,  0.997774,  0.997749,
	 0.997723,  0.997697,  0.997671,  0.997645,  0.997618,  0.997592,  0.997565,  0.997538,
	 0.997511,  0.997484,  0.997457,  0.997430,  0.997402,  0.997374,  0.997347,  0.997319,
	 0.997290,  0.997262,  0.997234,  0.997205,  0.997176,  0.997148,  0.997119,  0.997089,
	 0.997060,  0.997031,  0.997001,  0.996971,  0.996941,  0.996911,  0.996881,  0.996851,
	 0.996820,  0.996790,  0.996759,  0.996728,  0.996697,  0.996666,  0.996634,  0.996603,
	 0.996571,  0.996539,  0.996507,  0.996475,  0.996443,  0.996411,  0.996378,  0.996345,
	 0.996313,  0.996280,  0.996247,  0.996213,  0.996180,  0.996146,  0.996113,  0.996079,
	 0.996045,  0.996011,  0.995976,  0.995942,  0.995907,  0.995872,  0.995838,  0.995803,
	 0.995767,  0.995732,  0.995697,  0.995661,  0.995625,  0.995589,  0.995553,  0.995517,
	 0.995481,  0.995444,  0.995408,  0.995371,  0.995334,  0.995297,  0.995260,  0.995222,
	 0.995185,  0.995147,  0.995109,  0.995071,  0.995033,  0.994995,  0.994957,  0.994918,
	 0.994879,  0.994841,  0.994802,  0.994762,  0.994723,  0.994684,  0.994644,  0.994604,
	 0.994565,  0.994525,  0.994484,  0.994444,  0.994404,  0.994363,  0.994322,  0.994281,
	 0.994240,  0.994199,  0.994158,  0.994116,  0.994075,  0.994033,  0.993991,  0.993949,
	 0.993907,  0.993865,  0.993822,  0.993779,  0.993737,  0.993694,  0.993651,  0.993608,
	 0.993564,  0.993521,  0.993477,  0.993433,  0.993389,  0.993345,  0.993301,  0.993257,
	 0.993212,  0.993167,  0.993122,  0.993077,  0.993032,  0.992987,  0.992942,  0.992896,
	 0.992850,  0.992805,  0.992759,  0.992712,  0.992666,  0.992620,  0.992573,  0.992526,
	 0.992480,  0.992433,  0.992385,  0.992338,  0.992291,  0.992243,  0.992195,  0.992147,
	 0.992099,  0.992051,  0.992003,  0.991954,  0.991906,  0.991857,  0.991808,  0.991759,
	 0.991710,  0.991660,  0.991611,  0.991561,  0.991511,  0.991462,  0.991411,  0.991361,
	 0.991311,  0.991260,  0.991210,  0.991159,  0.991108,  0.991057,  0.991006,  0.990954,
	 0.990903,  0.990851,  0.990799,  0.990747,  0.990695,  0.990643,  0.990590,  0.990538,
	 0.990485,  0.990432,  0.990379,  0.990326,  0.990273,  0.990219,  0.990166,  0.990112,
	 0.990058,  0.990004,  0.989950,  0.989896,  0.989841,  0.989787,  0.989732,  0.989677,
	 0.989622,  0.989567,  0.989511,  0.989456,  0.989400,  0.989345,  0.989289,  0.989233,
	 0.989177,  0.989120,  0.989064,  0.989007,  0.988950,  0.988893,  0.988836,  0.988779,
	 0.988722,  0.988664,  0.988607,  0.988549,  0.988491,  0.988433,  0.988374,  0.988316,
	 0.988258,  0.988199,  0.988140,  0.988081,  0.988022,  0.987963,  0.987903,  0.987844,
	 0.987784,  0.987724,  0.987664,  0.987604,  0.987544,  0.987484,  0.987423,  0.987362,
	 0.987301,  0.987240,  0.987179,  0.987118,  0.987057,  0.986995,  0.986933,  0.986871,
	 0.986809,  0.986747,  0.986685,  0.986623,  0.986560,  0.986497,  0.986434,  0.986371,
	 0.986308,  0.986245,  0.986181,  0.986118,  0.986054,  0.985990,  0.985926,  0.985862,
	 0.985798,  0.985733,  0.985668,  0.985604,  0.985539,  0.985474,  0.985408,  0.985343,
	 0.985278,  0.985212,  0.985146,  0.985080,  0.985014,  0.984948,  0.984882,  0.984815,
	 0.984748,  0.984682,  0.984615,  0.984548,  0.984480,  0.984413,  0.984346,  0.984278,
	 0.984210,  0.984142,  0.984074,  0.984006,  0.983937,  0.983869,  0.983800,  0.983731,
	 0.983662,  0.983593,  0.983524,  0.983455,  0.983385,  0.983315,  0.983246,  0.983176,
	 0.983105,  0.983035,  0.982965,  0.982894,  0.982824,  0.982753,  0.982682,  0.982611,
	 0.982539,  0.982468,  0.982396,  0.982325,  0.982253,  0.982181,  0.982109,  0.982036,
	 0.981964,  0.981891,  0.981819,  0.981746,  0.981673,  0.981600,  0.981526,  0.981453,
	 0.981379,  0.981305,  0.981232,  0.981158,  0.981083,  0.981009,  0.980935,  0.980860,
	 0.980785,  0.980710,  0.980635,  0.980560,  0.980485,  0.980409,  0.980334,  0.980258,
	 0.980182,  0.980106,  0.980030,  0.979954,  0.979877,  0.979800,  0.979724,  0.979647,
	 0.979570,  0.979493,  0.979415,  0.979338,  0.979260,  0.979182,  0.979104,  0.979026,
	 0.978948,  0.978870,  0.978791,  0.978713,  0.978634,  0.978555,  0.978476,  0.978397,
	 0.978317,  0.978238,  0.978158,  0.978078,  0.977998,  0.977918,  0.977838,  0.977758,
	 0.977677,  0.977597,  0.977516,  0.977435,  0.977354,  0.977273,  0.977191,  0.977110,
	 0.977028,  0.976946,  0.976864,  0.976782,  0.976700,  0.976618,  0.976535,  0.976453,
	 0.976370,  0.976287,  0.976204,  0.976120,  0.976037,  0.975954,  0.975870,  0.975786,
	 0.975702,  0.975618,  0.975534,  0.975449,  0.975365,  0.975280,  0.975195,  0.975110,
	 0.975025,  0.974940,  0.974855,  0.974769,  0.974684,  0.974598,  0.974512,  0.974426,
	 0.974339,  0.974253,  0.974166,  0.974080,  0.973993,  0.973906,  0.973819,  0.973732,
	 0.973644,  0.973557,  0.973469,  0.973381,  0.973293,  0.973205,  0.973117,  0.973028,
	 0.972940,  0.972851,  0.972762,  0.972673,  0.972584,  0.972495,  0.972406,  0.972316,
	 0.972227,  0.972137,  0.972047,  0.971957,  0.971866,  0.971776,  0.971685,  0.971595,
	 0.971504,  0.971413,  0.971322,  0.971231,  0.971139,  0.971048,  0.970956,  0.970864,
	 0.970772,  0.970680,  0.970588,  0.970495,  0.970403,  0.970310,  0.970217,  0.970124,
	 0.970031,  0.969938,  0.969845,  0.969751,  0.969657,  0.969564,  0.969470,  0.969375,
	 0.969281,  0.969187,  0.969092,  0.968998,  0.968903,  0.968808,  0.968713,  0.968617,
	 0.968522,  0.968427,  0.968331,  0.968235,  0.968139,  0.968043,  0.967947,  0.967850,
	 0.967754,  0.967657,  0.967560,  0.967463,  0.967366,  0.967269,  0.967172,  0.967074,
	 0.966976,  0.966879,  0.966781,  0.966683,  0.966584,  0.966486,  0.966387,  0.966289,
	 0.966190,  0.966091,  0.965992,  0.965893,  0.965793,  0.965694,  0.965594,  0.965494,
	 0.965394,  0.965294,  0.965194,  0.965094,  0.964993,  0.964893,  0.964792,  0.964691,
	 0.964590,  0.964489,  0.964387,  0.964286,  0.964184,  0.964082,  0.963980,  0.963878,
	 0.963776,  0.963674,  0.963571,  0.963469,  0.963366,  0.963263,  0.963160,  0.963057,
	 0.962953,  0.962850,  0.962746,  0.962642,  0.962538,  0.962434,  0.962330,  0.962226,
	 0.962121,  0.962017,  0.961912,  0.961807,  0.961702,  0.961597,  0.961492,  0.961386,
	 0.961280,  0.961175,  0.961069,  0.960963,  0.960857,  0.960750,  0.960644,  0.960537,
	 0.960431,  0.960324,  0.960217,  0.960109,  0.960002,  0.959895,  0.959787,  0.959679,
	 0.959572,  0.959463,  0.959355,  0.959247,  0.959139,  0.959030,  0.958921,  0.958812,
	 0.958703,  0.958594,  0.958485,  0.958376,  0.958266,  0.958156,  0.958046,  0.957937,
	 0.957826,  0.957716,  0.957606,  0.957495,  0.957385,  0.957274,  0.957163,  0.957052,
	 0.956940,  0.956829,  0.956717,  0.956606,  0.956494,  0.956382,  0.956270,  0.956158,
	 0.956045,  0.955933,  0.955820,  0.955707,  0.955594,  0.955481,  0.955368,  0.955255,
	 0.955141,  0.955028,  0.954914,  0.954800,  0.954686,  0.954572,  0.954457,  0.954343,
	 0.954228,  0.954113,  0.953998,  0.953883,  0.953768,  0.953653,  0.953537,  0.953422,
	 0.953306,  0.953190,  0.953074,  0.952958,  0.952842,  0.952725,  0.952609,  0.952492,
	 0.952375,  0.952258,  0.952141,  0.952024,  0.951906,  0.951789,  0.951671,  0.951553,
	 0.951435,  0.951317,  0.951199,  0.951080,  0.950962,  0.950843,  0.950724,  0.950605,
	 0.950486,  0.950367,  0.950247,  0.950128,  0.950008,  0.949888,  0.949768,  0.949648,
	 0.949528,  0.949408,  0.949287,  0.949167,  0.949046,  0.948925,  0.948804,  0.948683,
	 0.948561,  0.948440,  0.948318,  0.948196,  0.948075,  0.947953,  0.947830,  0.947708,
	 0.947586,  0.947463,  0.947340,  0.947217,  0.947094,  0.946971,  0.946848,  0.946724,
	 0.946601,  0.946477,  0.946353,  0.946229,  0.946105,  0.945981,  0.945857,  0.945732,
	 0.945607,  0.945482,  0.945358,  0.945232,  0.945107,  0.944982,  0.944856,  0.944731,
	 0.944605,  0.944479,  0.944353,  0.944227,  0.944100,  0.943974,  0.943847,  0.943720,
	 0.943593,  0.943466,  0.943339,  0.943212,  0.943084,  0.942957,  0.942829,  0.942701,
	 0.942573,  0.942445,  0.942317,  0.942188,  0.942060,  0.941931,  0.941802,  0.941673,
	 0.941544,  0.941415,  0.941285,  0.941156,  0.941026,  0.940896,  0.940766,  0.940636,
	 0.940506,  0.940376,  0.940245,  0.940115,  0.939984,  0.939853,  0.939722,  0.939591,
	 0.939459,  0.939328,  0.939196,  0.939064,  0.938932,  0.938800,  0.938668,  0.938536,
	 0.938404,  0.938271,  0.938138,  0.938005,  0.937872,  0.937739,  0.937606,  0.937473,
	 0.937339,  0.937205,  0.937072,  0.936938,  0.936803,  0.936669,  0.936535,  0.936400,
	 0.936266,  0.936131,  0.935996,  0.935861,  0.935726,  0.935590,  0.935455,  0.935319,
	 0.935184,  0.935048,  0.934912,  0.934775,  0.934639,  0.934503,  0.934366,  0.934229,
	 0.934093,  0.933956,  0.933818,  0.933681,  0.933544,  0.933406,  0.933269,  0.933131,
	 0.932993,  0.932855,  0.932716,  0.932578,  0.932440,  0.932301,  0.932162,  0.932023,
	 0.931884,  0.931745,  0.931606,  0.931466,  0.931327,  0.931187,  0.931047,  0.930907,
	 0.930767,  0.930627,  0.930486,  0.930346,  0.930205,  0.930064,  0.929923,  0.929782,
	 0.929641,  0.929500,  0.929358,  0.929216,  0.929075,  0.928933,  0.928791,  0.928648,
	 0.928506,  0.928364,  0.928221,  0.928078,  0.927935,  0.927792,  0.927649,  0.927506,
	 0.927363,  0.927219,  0.927075,  0.926931,  0.926787,  0.926643,  0.926499,  0.926355,
	 0.926210,  0.926066,  0.925921,  0.925776,  0.925631,  0.925486,  0.925340,  0.925195,
	 0.925049,  0.924904,  0.924758,  0.924612,  0.924465,  0.924319,  0.924173,  0.924026,
	 0.923880,  0.923733,  0.923586,  0.923439,  0.923291,  0.923144,  0.922997,  0.922849,
	 0.922701,  0.922553,  0.922405,  0.922257,  0.922109,  0.921960,  0.921812,  0.921663,
	 0.921514,  0.921365,  0.921216,  0.921067,  0.920917,  0.920768,  0.920618,  0.920468,
	 0.920318,  0.920168,  0.920018,  0.919868,  0.919717,  0.919567,  0.919416,  0.919265,
	 0.919114,  0.918963,  0.918811,  0.918660,  0.918508,  0.918357,  0.918205,  0.918053,
	 0.917901,  0.917749,  0.917596,  0.917444,  0.917291,  0.917138,  0.916985,  0.916832,
	 0.916679,  0.916526,  0.916372,  0.916219,  0.916065,  0.915911,  0.915757,  0.915603,
	 0.915449,  0.915294,  0.915140,  0.914985,  0.914830,  0.914675,  0.914520,  0.914365,
	 0.914210,  0.914054,  0.913899,  0.913743,  0.913587,  0.913431,  0.913275,  0.913119,
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	 0.101070,  0.101451,  0.101833,  0.102214,  0.102596,  0.102977,  0.103359,  0.103740,
	 0.104122,  0.104503,  0.104884,  0.105266,  0.105647,  0.106028,  0.106410,  0.106791,
	 0.107172,  0.107554,  0.107935,  0.108316,  0.108697,  0.109079,  0.109460,  0.109841,
	 0.110222,  0.110603,  0.110984,  0.111366,  0.111747,  0.112128,  0.112509,  0.112890,
	 0.113271,  0.113652,  0.114033,  0.114414,  0.114795,  0.115176,  0.115557,  0.115938,
	 0.116319,  0.116700,  0.117080,  0.117461,  0.117842,  0.118223,  0.118604,  0.118984,
	 0.119365,  0.119746,  0.120127,  0.120507,  0.120888,  0.121269,  0.121649,  0.122030,
	 0.122411,  0.122791,  0.123172,  0.123552,  0.123933,  0.124314,  0.124694,  0.125075,
	 0.125455,  0.125835,  0.126216,  0.126596,  0.126977,  0.127357,  0.127737,  0.128118,
	 0.128498,  0.128878,  0.129259,  0.129639,  0.130019,  0.130399,  0.130780,  0.131160,
	 0.131540,  0.131920,  0.132300,  0.132680,  0.133061,  0.133441,  0.133821,  0.134201,
	 0.134581,  0.134961,  0.135341,  0.135721,  0.136101,  0.136480,  0.136860,  0.137240,
	 0.137620,  0.138000,  0.138380,  0.138760,  0.139139,  0.139519,  0.139899,  0.140279,
	 0.140658,  0.141038,  0.141418,  0.141797,  0.142177,  0.142556,  0.142936,  0.143316,
	 0.143695,  0.144075,  0.144454,  0.144833,  0.145213,  0.145592,  0.145972,  0.146351,
	 0.146730,  0.147110,  0.147489,  0.147868,  0.148248,  0.148627,  0.149006,  0.149385,
	 0.149765,  0.150144,  0.150523,  0.150902,  0.151281,  0.151660,  0.152039,  0.152418,
	 0.152797,  0.153176,  0.153555,  0.153934,  0.154313,  0.154692,  0.155071,  0.155450,
	 0.155828,  0.156207,  0.156586,  0.156965,  0.157343,  0.157722,  0.158101,  0.158480,
	 0.158858,  0.159237,  0.159615,  0.159994,  0.160372,  0.160751,  0.161129,  0.161508,
	 0.161886,  0.162265,  0.162643,  0.163022,  0.163400,  0.163778,  0.164157,  0.164535,
	 0.164913,  0.165291,  0.165670,  0.166048,  0.166426,  0.166804,  0.167182,  0.167560,
	 0.167938,  0.168316,  0.168694,  0.169072,  0.169450,  0.169828,  0.170206,  0.170584,
	 0.170962,  0.171340,  0.171718,  0.172095,  0.172473,  0.172851,  0.173229,  0.173606,
	 0.173984,  0.174362,  0.174739,  0.175117,  0.175494,  0.175872,  0.176249,  0.176627,
	 0.177004,  0.177382,  0.177759,  0.178136,  0.178514,  0.178891,  0.179268,  0.179646,
	 0.180023,  0.180400,  0.180777,  0.181154,  0.181532,  0.181909,  0.182286,  0.182663,
	 0.183040,  0.183417,  0.183794,  0.184171,  0.184548,  0.184925,  0.185301,  0.185678,
	 0.186055,  0.186432,  0.186809,  0.187185,  0.187562,  0.187939,  0.188315,  0.188692,
	 0.189069,  0.189445,  0.189822,  0.190198,  0.190575,  0.190951,  0.191328,  0.191704,
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	 0.537587,  0.537910,  0.538234,  0.538557,  0.538880,  0.539203,  0.539526,  0.539849,
	 0.540171,  0.540494,  0.540817,  0.541139,  0.541462,  0.541784,  0.542106,  0.542429,
	 0.542751,  0.543073,  0.543395,  0.543717,  0.544039,  0.544360,  0.544682,  0.545003,
	 0.545325,  0.545646,  0.545968,  0.546289,  0.546610,  0.546931,  0.547252,  0.547573,
	 0.547894,  0.548215,  0.548536,  0.548856,  0.549177,  0.549497,  0.549818,  0.550138,
	 0.550458,  0.550778,  0.551098,  0.551418,  0.551738,  0.552058,  0.552378,  0.552697,
	 0.553017,  0.553336,  0.553656,  0.553975,  0.554294,  0.554613,  0.554932,  0.555251,
	 0.555570,  0.555889,  0.556208,  0.556526,  0.556845,  0.557164,  0.557482,  0.557800,
	 0.558119,  0.558437,  0.558755,  0.559073,  0.559391,  0.559709,  0.560026,  0.560344,
	 0.560662,  0.560979,  0.561297,  0.561614,  0.561931,  0.562248,  0.562565,  0.562882,
	 0.563199,  0.563516,  0.563833,  0.564150,  0.564466,  0.564783,  0.565099,  0.565416,
	 0.565732,  0.566048,  0.566364,  0.566680,  0.566996,  0.567312,  0.567628,  0.567943,
	 0.568259,  0.568574,  0.568890,  0.569205,  0.569521,  0.569836,  0.570151,  0.570466,
	 0.570781,  0.571096,  0.571410,  0.571725,  0.572040,  0.572354,  0.572669,  0.572983,
	 0.573297,  0.573611,  0.573925,  0.574239,  0.574553,  0.574867,  0.575181,  0.575495,
	 0.575808,  0.576122,  0.576435,  0.576748,  0.577062,  0.577375,  0.577688,  0.578001,
	 0.578314,  0.578627,  0.578939,  0.579252,  0.579565,  0.579877,  0.580189,  0.580502,
	 0.580814,  0.581126,  0.581438,  0.581750,  0.582062,  0.582374,  0.582685,  0.582997,
	 0.583309,  0.583620,  0.583931,  0.584243,  0.584554,  0.584865,  0.585176,  0.585487,
	 0.585798,  0.586109,  0.586419,  0.586730,  0.587040,  0.587351,  0.587661,  0.587971,
	 0.588282,  0.588592,  0.588902,  0.589212,  0.589521,  0.589831,  0.590141,  0.590450,
	 0.590760,  0.591069,  0.591378,  0.591688,  0.591997,  0.592306,  0.592615,  0.592924,
	 0.593232,  0.593541,  0.593850,  0.594158,  0.594467,  0.594775,  0.595083,  0.595391,
	 0.595699,  0.596007,  0.596315,  0.596623,  0.596931,  0.597238,  0.597546,  0.597853,
	 0.598161,  0.598468,  0.598775,  0.599082,  0.599389,  0.599696,  0.600003,  0.600310,
	 0.600616,  0.600923,  0.601230,  0.601536,  0.601842,  0.602148,  0.602455,  0.602761,
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	 0.999431,  0.999443,  0.999456,  0.999469,  0.999481,  0.999493,  0.999506,  0.999518,
	 0.999529,  0.999541,  0.999553,  0.999564,  0.999575,  0.999586,  0.999597,  0.999608,
	 0.999619,  0.999629,  0.999640,  0.999650,  0.999660,  0.999670,  0.999680,  0.999689,
	 0.999699,  0.999708,  0.999717,  0.999726,  0.999735,  0.999744,  0.999753,  0.999761,
	 0.999769,  0.999778,  0.999786,  0.999793,  0.999801,  0.999809,  0.999816,  0.999823,
	 0.999831,  0.999838,  0.999844,  0.999851,  0.999858,  0.999864,  0.999870,  0.999876,
	 0.999882,  0.999888,  0.999894,  0.999899,  0.999905,  0.999910,  0.999915,  0.999920,
	 0.999925,  0.999929,  0.999934,  0.999938,  0.999942,  0.999946,  0.999950,  0.999954,
	 0.999958,  0.999961,  0.999964,  0.999968,  0.999971,  0.999973,  0.999976,  0.999979,
	 0.999981,  0.999983,  0.999986,  0.999988,  0.999989,  0.999991,  0.999993,  0.999994,
	 0.999995,  0.999996,  0.999997,  0.999998,  0.999999,  0.999999,  1.000000,  1.000000
};

static const float cosTable32768[16384] = {
	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  0.999999,  0.999999,
	 0.999999,  0.999999,  0.999998,  0.999998,  0.999997,  0.999997,  0.999996,  0.999996,
	 0.999995,  0.999995,  0.999994,  0.999993,  0.999993,  0.999992,  0.999991,  0.999990,
	 0.999989,  0.999988,  0.999988,  0.999987,  0.999986,  0.999985,  0.999983,  0.999982,
	 0.999981,  0.999980,  0.999979,  0.999977,  0.999976,  0.999975,  0.999973,  0.999972,
	 0.999971,  0.999969,  0.999968,  0.999966,  0.999964,  0.999963,  0.999961,  0.999959,
	 0.999958,  0.999956,  0.999954,  0.999952,  0.999950,  0.999948,  0.999946,  0.999944,
	 0.999942,  0.999940,  0.999938,  0.999936,  0.999934,  0.999932,  0.999929,  0.999927,
	 0.999925,  0.999922,  0.999920,  0.999917,  0.999915,  0.999913,  0.999910,  0.999907,
	 0.999905,  0.999902,  0.999899,  0.999897,  0.999894,  0.999891,  0.999888,  0.999885,
	 0.999882,  0.999879,  0.999876,  0.999873,  0.999870,  0.999867,  0.999864,  0.999861,
	 0.999858,  0.999854,  0.999851,  0.999848,  0.999844,  0.999841,  0.999838,  0.999834,
	 0.999831,  0.999827,  0.999823,  0.999820,  0.999816,  0.999812,  0.999809,  0.999805,
	 0.999801,  0.999797,  0.999793,  0.999790,  0.999786,  0.999782,  0.999778,  0.999774,
	 0.999769,  0.999765,  0.999761,  0.999757,  0.999753,  0.999748,  0.999744,  0.999740,
	 0.999735,  0.999731,  0.999726,  0.999722,  0.999717,  0.999713,  0.999708,  0.999704,
	 0.999699,  0.999694,  0.999689,  0.999685,  0.999680,  0.999675,  0.999670,  0.999665,
	 0.999660,  0.999655,  0.999650,  0.999645,  0.999640,  0.999635,  0.999629,  0.999624,
	 0.999619,  0.999614,  0.999608,  0.999603,  0.999597,  0.999592,  0.999586,  0.999581,
	 0.999575,  0.999570,  0.999564,  0.999558,  0.999553,  0.999547,  0.999541,  0.999535,
	 0.999529,  0.999524,  0.999518,  0.999512,  0.999506,  0.999500,  0.999493,  0.999487,
	 0.999481,  0.999475,  0.999469,  0.999462,  0.999456,  0.999450,  0.999443,  0.999437,
	 0.999431,  0.999424,  0.999418,  0.999411,  0.999404,  0.999398,  0.999391,  0.999384,
	 0.999378,  0.999371,  0.999364,  0.999357,  0.999350,  0.999343,  0.999336,  0.999329,
	 0.999322,  0.999315,  0.999308,  0.999301,  0.999294,  0.999287,  0.999279,  0.999272,
	 0.999265,  0.999257,  0.999250,  0.999243,  0.999235,  0.999228,  0.999220,  0.999212,
	 0.999205,  0.999197,  0.999189,  0.999182,  0.999174,  0.999166,  0.999158,  0.999150,
	 0.999142,  0.999134,  0.999126,  0.999118,  0.999110,  0.999102,  0.999094,  0.999086,
	 0.999078,  0.999069,  0.999061,  0.999053,  0.999044,  0.999036,  0.999028,  0.999019,
	 0.999011,  0.999002,  0.998994,  0.998985,  0.998976,  0.998968,  0.998959,  0.998950,
	 0.998941,  0.998932,  0.998924,  0.998915,  0.998906,  0.998897,  0.998888,  0.998879,
	 0.998870,  0.998860,  0.998851,  0.998842,  0.998833,  0.998824,  0.998814,  0.998805,
	 0.998795,  0.998786,  0.998777,  0.998767,  0.998758,  0.998748,  0.998738,  0.998729,
	 0.998719,  0.998709,  0.998700,  0.998690,  0.998680,  0.998670,  0.998660,  0.998650,
	 0.998640,  0.998630,  0.998620,  0.998610,  0.998600,  0.998590,  0.998580,  0.998569,
	 0.998559,  0.998549,  0.998538,  0.998528,  0.998518,  0.998507,  0.998497,  0.998486,
	 0.998476,  0.998465,  0.998454,  0.998444,  0.998433,  0.998422,  0.998411,  0.998401,
	 0.998390,  0.998379,  0.998368,  0.998357,  0.998346,  0.998335,  0.998324,  0.998313,
	 0.998302,  0.998290,  0.998279,  0.998268,  0.998257,  0.998245,  0.998234,  0.998222,
	 0.998211,  0.998200,  0.998188,  0.998176,  0.998165,  0.998153,  0.998142,  0.998130,
	 0.998118,  0.998106,  0.998094,  0.998083,  0.998071,  0.998059,  0.998047,  0.998035,
	 0.998023,  0.998011,  0.997999,  0.997987,  0.997974,  0.997962,  0.997950,  0.997938,
	 0.997925,  0.997913,  0.997901,  0.997888,  0.997876,  0.997863,  0.997851,  0.997838,
	 0.997825,  0.997813,  0.997800,  0.997787,  0.997774,  0.997762,  0.997749,  0.997736,
	 0.997723,  0.997710,  0.997697,  0.997684,  0.997671,  0.997658,  0.997645,  0.997632,
	 0.997618,  0.997605,  0.997592,  0.997579,  0.997565,  0.997552,  0.997538,  0.997525,
	 0.997511,  0.997498,  0.997484,  0.997471,  0.997457,  0.997443,  0.997430,  0.997416,
	 0.997402,  0.997388,  0.997374,  0.997361,  0.997347,  0.997333,  0.997319,  0.997305,
	 0.997290,  0.997276,  0.997262,  0.997248,  0.997234,  0.997219,  0.997205,  0.997191,
	 0.997176,  0.997162,  0.997148,  0.997133,  0.997119,  0.997104,  0.997089,  0.997075,
	 0.997060,  0.997045,  0.997031,  0.997016,  0.997001,  0.996986,  0.996971,  0.996956,
	 0.996941,  0.996926,  0.996911,  0.996896,  0.996881,  0.996866,  0.996851,  0.996836,
	 0.996820,  0.996805,  0.996790,  0.996774,  0.996759,  0.996743,  0.996728,  0.996712,
	 0.996697,  0.996681,  0.996666,  0.996650,  0.996634,  0.996619,  0.996603,  0.996587,
	 0.996571,  0.996555,  0.996539,  0.996523,  0.996507,  0.996491,  0.996475,  0.996459,
	 0.996443,  0.996427,  0.996411,  0.996394,  0.996378,  0.996362,  0.996345,  0.996329,
	 0.996313,  0.996296,  0.996280,  0.996263,  0.996247,  0.996230,  0.996213,  0.996197,
	 0.996180,  0.996163,  0.996146,  0.996129,  0.996113,  0.996096,  0.996079,  0.996062,
	 0.996045,  0.996028,  0.996011,  0.995993,  0.995976,  0.995959,  0.995942,  0.995925,
	 0.995907,  0.995890,  0.995872,  0.995855,  0.995838,  0.995820,  0.995803,  0.995785,
	 0.995767,  0.995750,  0.995732,  0.995714,  0.995697,  0.995679,  0.995661,  0.995643,
	 0.995625,  0.995607,  0.995589,  0.995571,  0.995553,  0.995535,  0.995517,  0.995499,
	 0.995481,  0.995463,  0.995444,  0.995426,  0.995408,  0.995389,  0.995371,  0.995352,
	 0.995334,  0.995315,  0.995297,  0.995278,  0.995260,  0.995241,  0.995222,  0.995203,
	 0.995185,  0.995166,  0.995147,  0.995128,  0.995109,  0.995090,  0.995071,  0.995052,
	 0.995033,  0.995014,  0.994995,  0.994976,  0.994957,  0.994937,  0.994918,  0.994899,
	 0.994879,  0.994860,  0.994841,  0.994821,  0.994802,  0.994782,  0.994762,  0.994743,
	 0.994723,  0.994703,  0.994684,  0.994664,  0.994644,  0.994624,  0.994604,  0.994585,
	 0.994565,  0.994545,  0.994525,  0.994505,  0.994484,  0.994464,  0.994444,  0.994424,
	 0.994404,  0.994383,  0.994363,  0.994343,  0.994322,  0.994302,  0.994281,  0.994261,
	 0.994240,  0.994220,  0.994199,  0.994179,  0.994158,  0.994137,  0.994116,  0.994096,
	 0.994075,  0.994054,  0.994033,  0.994012,  0.993991,  0.993970,  0.993949,  0.993928,
	 0.993907,  0.993886,  0.993865,  0.993843,  0.993822,  0.993801,  0.993779,  0.993758,
	 0.993737,  0.993715,  0.993694,  0.993672,  0.993651,  0.993629,  0.993608,  0.993586,
	 0.993564,  0.993542,  0.993521,  0.993499,  0.993477,  0.993455,  0.993433,  0.993411,
	 0.993389,  0.993367,  0.993345,  0.993323,  0.993301,  0.993279,  0.993257,  0.993234,
	 0.993212,  0.993190,  0.993167,  0.993145,  0.993122,  0.993100,  0.993077,  0.993055,
	 0.993032,  0.993010,  0.992987,  0.992964,  0.992942,  0.992919,  0.992896,  0.992873,
	 0.992850,  0.992828,  0.992805,  0.992782,  0.992759,  0.992736,  0.992712,  0.992689,
	 0.992666,  0.992643,  0.992620,  0.992596,  0.992573,  0.992550,  0.992526,  0.992503,
	 0.992480,  0.992456,  0.992433,  0.992409,  0.992385,  0.992362,  0.992338,  0.992314,
	 0.992291,  0.992267,  0.992243,  0.992219,  0.992195,  0.992171,  0.992147,  0.992123,
	 0.992099,  0.992075,  0.992051,  0.992027,  0.992003,  0.991979,  0.991954,  0.991930,
	 0.991906,  0.991881,  0.991857,  0.991832,  0.991808,  0.991783,  0.991759,  0.991734,
	 0.991710,  0.991685,  0.991660,  0.991636,  0.991611,  0.991586,  0.991561,  0.991536,
	 0.991511,  0.991487,  0.991462,  0.991437,  0.991411,  0.991386,  0.991361,  0.991336,
	 0.991311,  0.991286,  0.991260,  0.991235,  0.991210,  0.991184,  0.991159,  0.991133,
	 0.991108,  0.991082,  0.991057,  0.991031,  0.991006,  0.990980,  0.990954,  0.990928,
	 0.990903,  0.990877,  0.990851,  0.990825,  0.990799,  0.990773,  0.990747,  0.990721,
	 0.990695,  0.990669,  0.990643,  0.990617,  0.990590,  0.990564,  0.990538,  0.990511,
	 0.990485,  0.990459,  0.990432,  0.990406,  0.990379,  0.990353,  0.990326,  0.990299,
	 0.990273,  0.990246,  0.990219,  0.990193,  0.990166,  0.990139,  0.990112,  0.990085,
	 0.990058,  0.990031,  0.990004,  0.989977,  0.989950,  0.989923,  0.989896,  0.989869,
	 0.989841,  0.989814,  0.989787,  0.989759,  0.989732,  0.989704,  0.989677,  0.989650,
	 0.989622,  0.989594,  0.989567,  0.989539,  0.989511,  0.989484,  0.989456,  0.989428,
	 0.989400,  0.989373,  0.989345,  0.989317,  0.989289,  0.989261,  0.989233,  0.989205,
	 0.989177,  0.989148,  0.989120,  0.989092,  0.989064,  0.989035,  0.989007,  0.988979,
	 0.988950,  0.988922,  0.988893,  0.988865,  0.988836,  0.988808,  0.988779,  0.988750,
	 0.988722,  0.988693,  0.988664,  0.988635,  0.988607,  0.988578,  0.988549,  0.988520,
	 0.988491,  0.988462,  0.988433,  0.988404,  0.988374,  0.988345,  0.988316,  0.988287,
	 0.988258,  0.988228,  0.988199,  0.988169,  0.988140,  0.988111,  0.988081,  0.988052,
	 0.988022,  0.987992,  0.987963,  0.987933,  0.987903,  0.987874,  0.987844,  0.987814,
	 0.987784,  0.987754,  0.987724,  0.987694,  0.987664,  0.987634,  0.987604,  0.987574,
	 0.987544,  0.987514,  0.987484,  0.987453,  0.987423,  0.987393,  0.987362,  0.987332,
	 0.987301,  0.987271,  0.987240,  0.987210,  0.987179,  0.987149,  0.987118,  0.987087,
	 0.987057,  0.987026,  0.986995,  0.986964,  0.986933,  0.986902,  0.986871,  0.986840,
	 0.986809,  0.986778,  0.986747,  0.986716,  0.986685,  0.986654,  0.986623,  0.986591,
	 0.986560,  0.986529,  0.986497,  0.986466,  0.986434,  0.986403,  0.986371,  0.986340,
	 0.986308,  0.986276,  0.986245,  0.986213,  0.986181,  0.986150,  0.986118,  0.986086,
	 0.986054,  0.986022,  0.985990,  0.985958,  0.985926,  0.985894,  0.985862,  0.985830,
	 0.985798,  0.985765,  0.985733,  0.985701,  0.985668,  0.985636,  0.985604,  0.985571,
	 0.985539,  0.985506,  0.985474,  0.985441,  0.985408,  0.985376,  0.985343,  0.985310,
	 0.985278,  0.985245,  0.985212,  0.985179,  0.985146,  0.985113,  0.985080,  0.985047,
	 0.985014,  0.984981,  0.984948,  0.984915,  0.984882,  0.984848,  0.984815,  0.984782,
	 0.984748,  0.984715,  0.984682,  0.984648,  0.984615,  0.984581,  0.984548,  0.984514,
	 0.984480,  0.984447,  0.984413,  0.984379,  0.984346,  0.984312,  0.984278,  0.984244,
	 0.984210,  0.984176,  0.984142,  0.984108,  0.984074,  0.984040,  0.984006,  0.983972,
	 0.983937,  0.983903,  0.983869,  0.983835,  0.983800,  0.983766,  0.983731,  0.983697,
	 0.983662,  0.983628,  0.983593,  0.983559,  0.983524,  0.983489,  0.983455,  0.983420,
	 0.983385,  0.983350,  0.983315,  0.983281,  0.983246,  0.983211,  0.983176,  0.983141,
	 0.983105,  0.983070,  0.983035,  0.983000,  0.982965,  0.982930,  0.982894,  0.982859,
	 0.982824,  0.982788,  0.982753,  0.982717,  0.982682,  0.982646,  0.982611,  0.982575,
	 0.982539,  0.982504,  0.982468,  0.982432,  0.982396,  0.982360,  0.982325,  0.982289,
	 0.982253,  0.982217,  0.982181,  0.982145,  0.982109,  0.982072,  0.982036,  0.982000,
	 0.981964,  0.981928,  0.981891,  0.981855,  0.981819,  0.981782,  0.981746,  0.981709,
	 0.981673,  0.981636,  0.981600,  0.981563,  0.981526,  0.981490,  0.981453,  0.981416,
	 0.981379,  0.981342,  0.981305,  0.981269,  0.981232,  0.981195,  0.981158,  0.981120,
	 0.981083,  0.981046,  0.981009,  0.980972,  0.980935,  0.980897,  0.980860,  0.980823,
	 0.980785,  0.980748,  0.980710,  0.980673,  0.980635,  0.980598,  0.980560,  0.980523,
	 0.980485,  0.980447,  0.980409,  0.980372,  0.980334,  0.980296,  0.980258,  0.980220,
	 0.980182,  0.980144,  0.980106,  0.980068,  0.980030,  0.979992,  0.979954,  0.979915,
	 0.979877,  0.979839,  0.979800,  0.979762,  0.979724,  0.979685,  0.979647,  0.979608,
	 0.979570,  0.979531,  0.979493,  0.979454,  0.979415,  0.979376,  0.979338,  0.979299,
	 0.979260,  0.979221,  0.979182,  0.979143,  0.979104,  0.979065,  0.979026,  0.978987,
	 0.978948,  0.978909,  0.978870,  0.978831,  0.978791,  0.978752,  0.978713,  0.978673,
	 0.978634,  0.978594,  0.978555,  0.978516,  0.978476,  0.978436,  0.978397,  0.978357,
	 0.978317,  0.978278,  0.978238,  0.978198,  0.978158,  0.978118,  0.978078,  0.978038,
	 0.977998,  0.977959,  0.977918,  0.977878,  0.977838,  0.977798,  0.977758,  0.977718,
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	 0.073565,  0.073756,  0.073947,  0.074138,  0.074329,  0.074521,  0.074712,  0.074903,
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	 0.076624,  0.076815,  0.077006,  0.077197,  0.077389,  0.077580,  0.077771,  0.077962,
	 0.078153,  0.078344,  0.078536,  0.078727,  0.078918,  0.079109,  0.079300,  0.079491,
	 0.079682,  0.079874,  0.080065,  0.080256,  0.080447,  0.080638,  0.080829,  0.081020,
	 0.081211,  0.081403,  0.081594,  0.081785,  0.081976,  0.082167,  0.082358,  0.082549,
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	 0.084269,  0.084460,  0.084651,  0.084842,  0.085033,  0.085224,  0.085415,  0.085606,
	 0.085797,  0.085988,  0.086179,  0.086370,  0.086561,  0.086752,  0.086943,  0.087135,
	 0.087326,  0.087517,  0.087708,  0.087899,  0.088090,  0.088281,  0.088472,  0.088663,
	 0.088854,  0.089045,  0.089236,  0.089427,  0.089617,  0.089808,  0.089999,  0.090190,
	 0.090381,  0.090572,  0.090763,  0.090954,  0.091145,  0.091336,  0.091527,  0.091718,
	 0.091909,  0.092100,  0.092291,  0.092482,  0.092673,  0.092864,  0.093055,  0.093245,
	 0.093436,  0.093627,  0.093818,  0.094009,  0.094200,  0.094391,  0.094582,  0.094773,
	 0.094963,  0.095154,  0.095345,  0.095536,  0.095727,  0.095918,  0.096109,  0.096300,
	 0.096490,  0.096681,  0.096872,  0.097063,  0.097254,  0.097445,  0.097635,  0.097826,
	 0.098017,  0.098208,  0.098399,  0.098590,  0.098780,  0.098971,  0.099162,  0.099353,
	 0.099544,  0.099734,  0.099925,  0.100116,  0.100307,  0.100498,  0.100688,  0.100879,
	 0.101070,  0.101261,  0.101451,  0.101642,  0.101833,  0.102024,  0.102214,  0.102405,
	 0.102596,  0.102787,  0.102977,  0.103168,  0.103359,  0.103550,  0.103740,  0.103931,
	 0.104122,  0.104312,  0.104503,  0.104694,  0.104884,  0.105075,  0.105266,  0.105456,
	 0.105647,  0.105838,  0.106028,  0.106219,  0.106410,  0.106600,  0.106791,  0.106982,
	 0.107172,  0.107363,  0.107554,  0.107744,  0.107935,  0.108126,  0.108316,  0.108507,
	 0.108697,  0.108888,  0.109079,  0.109269,  0.109460,  0.109650,  0.109841,  0.110032,
	 0.110222,  0.110413,  0.110603,  0.110794,  0.110984,  0.111175,  0.111366,  0.111556,
	 0.111747,  0.111937,  0.112128,  0.112318,  0.112509,  0.112699,  0.112890,  0.113080,
	 0.113271,  0.113461,  0.113652,  0.113842,  0.114033,  0.114223,  0.114414,  0.114604,
	 0.114795,  0.114985,  0.115176,  0.115366,  0.115557,  0.115747,  0.115938,  0.116128,
	 0.116319,  0.116509,  0.116700,  0.116890,  0.117080,  0.117271,  0.117461,  0.117652,
	 0.117842,  0.118032,  0.118223,  0.118413,  0.118604,  0.118794,  0.118984,  0.119175,
	 0.119365,  0.119556,  0.119746,  0.119936,  0.120127,  0.120317,  0.120507,  0.120698,
	 0.120888,  0.121078,  0.121269,  0.121459,  0.121649,  0.121840,  0.122030,  0.122220,
	 0.122411,  0.122601,  0.122791,  0.122982,  0.123172,  0.123362,  0.123552,  0.123743,
	 0.123933,  0.124123,  0.124314,  0.124504,  0.124694,  0.124884,  0.125075,  0.125265,
	 0.125455,  0.125645,  0.125835,  0.126026,  0.126216,  0.126406,  0.126596,  0.126787,
	 0.126977,  0.127167,  0.127357,  0.127547,  0.127737,  0.127928,  0.128118,  0.128308,
	 0.128498,  0.128688,  0.128878,  0.129069,  0.129259,  0.129449,  0.129639,  0.129829,
	 0.130019,  0.130209,  0.130399,  0.130590,  0.130780,  0.130970,  0.131160,  0.131350,
	 0.131540,  0.131730,  0.131920,  0.132110,  0.132300,  0.132490,  0.132680,  0.132870,
	 0.133061,  0.133251,  0.133441,  0.133631,  0.133821,  0.134011,  0.134201,  0.134391,
	 0.134581,  0.134771,  0.134961,  0.135151,  0.135341,  0.135531,  0.135721,  0.135911,
	 0.136101,  0.136291,  0.136480,  0.136670,  0.136860,  0.137050,  0.137240,  0.137430,
	 0.137620,  0.137810,  0.138000,  0.138190,  0.138380,  0.138570,  0.138760,  0.138949,
	 0.139139,  0.139329,  0.139519,  0.139709,  0.139899,  0.140089,  0.140279,  0.140468,
	 0.140658,  0.140848,  0.141038,  0.141228,  0.141418,  0.141607,  0.141797,  0.141987,
	 0.142177,  0.142367,  0.142556,  0.142746,  0.142936,  0.143126,  0.143316,  0.143505,
	 0.143695,  0.143885,  0.144075,  0.144264,  0.144454,  0.144644,  0.144833,  0.145023,
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	 0.146730,  0.146920,  0.147110,  0.147299,  0.147489,  0.147679,  0.147868,  0.148058,
	 0.148248,  0.148437,  0.148627,  0.148817,  0.149006,  0.149196,  0.149385,  0.149575,
	 0.149765,  0.149954,  0.150144,  0.150333,  0.150523,  0.150712,  0.150902,  0.151092,
	 0.151281,  0.151471,  0.151660,  0.151850,  0.152039,  0.152229,  0.152418,  0.152608,
	 0.152797,  0.152987,  0.153176,  0.153366,  0.153555,  0.153745,  0.153934,  0.154124,
	 0.154313,  0.154502,  0.154692,  0.154881,  0.155071,  0.155260,  0.155450,  0.155639,
	 0.155828,  0.156018,  0.156207,  0.156397,  0.156586,  0.156775,  0.156965,  0.157154,
	 0.157343,  0.157533,  0.157722,  0.157912,  0.158101,  0.158290,  0.158480,  0.158669,
	 0.158858,  0.159047,  0.159237,  0.159426,  0.159615,  0.159805,  0.159994,  0.160183,
	 0.160372,  0.160562,  0.160751,  0.160940,  0.161129,  0.161319,  0.161508,  0.161697,
	 0.161886,  0.162076,  0.162265,  0.162454,  0.162643,  0.162832,  0.163022,  0.163211,
	 0.163400,  0.163589,  0.163778,  0.163967,  0.164157,  0.164346,  0.164535,  0.164724,
	 0.164913,  0.165102,  0.165291,  0.165480,  0.165670,  0.165859,  0.166048,  0.166237,
	 0.166426,  0.166615,  0.166804,  0.166993,  0.167182,  0.167371,  0.167560,  0.167749,
	 0.167938,  0.168127,  0.168316,  0.168505,  0.168694,  0.168883,  0.169072,  0.169261,
	 0.169450,  0.169639,  0.169828,  0.170017,  0.170206,  0.170395,  0.170584,  0.170773,
	 0.170962,  0.171151,  0.171340,  0.171529,  0.171718,  0.171906,  0.172095,  0.172284,
	 0.172473,  0.172662,  0.172851,  0.173040,  0.173229,  0.173417,  0.173606,  0.173795,
	 0.173984,  0.174173,  0.174362,  0.174550,  0.174739,  0.174928,  0.175117,  0.175305,
	 0.175494,  0.175683,  0.175872,  0.176061,  0.176249,  0.176438,  0.176627,  0.176815,
	 0.177004,  0.177193,  0.177382,  0.177570,  0.177759,  0.177948,  0.178136,  0.178325,
	 0.178514,  0.178702,  0.178891,  0.179080,  0.179268,  0.179457,  0.179646,  0.179834,
	 0.180023,  0.180212,  0.180400,  0.180589,  0.180777,  0.180966,  0.181154,  0.181343,
	 0.181532,  0.181720,  0.181909,  0.182097,  0.182286,  0.182474,  0.182663,  0.182851,
	 0.183040,  0.183228,  0.183417,  0.183605,  0.183794,  0.183982,  0.184171,  0.184359,
	 0.184548,  0.184736,  0.184925,  0.185113,  0.185301,  0.185490,  0.185678,  0.185867,
	 0.186055,  0.186244,  0.186432,  0.186620,  0.186809,  0.186997,  0.187185,  0.187374,
	 0.187562,  0.187750,  0.187939,  0.188127,  0.188315,  0.188504,  0.188692,  0.188880,
	 0.189069,  0.189257,  0.189445,  0.189634,  0.189822,  0.190010,  0.190198,  0.190387,
	 0.190575,  0.190763,  0.190951,  0.191139,  0.191328,  0.191516,  0.191704,  0.191892,
	 0.192080,  0.192269,  0.192457,  0.192645,  0.192833,  0.193021,  0.193209,  0.193397,
	 0.193586,  0.193774,  0.193962,  0.194150,  0.194338,  0.194526,  0.194714,  0.194902,
	 0.195090,  0.195278,  0.195466,  0.195654,  0.195843,  0.196031,  0.196219,  0.196407,
	 0.196595,  0.196783,  0.196971,  0.197159,  0.197347,  0.197535,  0.197722,  0.197910,
	 0.198098,  0.198286,  0.198474,  0.198662,  0.198850,  0.199038,  0.199226,  0.199414,
	 0.199602,  0.199790,  0.199978,  0.200165,  0.200353,  0.200541,  0.200729,  0.200917,
	 0.201105,  0.201292,  0.201480,  0.201668,  0.201856,  0.202044,  0.202231,  0.202419,
	 0.202607,  0.202795,  0.202983,  0.203170,  0.203358,  0.203546,  0.203734,  0.203921,
	 0.204109,  0.204297,  0.204484,  0.204672,  0.204860,  0.205047,  0.205235,  0.205423,
	 0.205610,  0.205798,  0.205986,  0.206173,  0.206361,  0.206549,  0.206736,  0.206924,
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	 0.409444,  0.409619,  0.409794,  0.409969,  0.410144,  0.410319,  0.410493,  0.410668,
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	 0.999699,  0.999704,  0.999708,  0.999713,  0.999717,  0.999722,  0.999726,  0.999731,
	 0.999735,  0.999740,  0.999744,  0.999748,  0.999753,  0.999757,  0.999761,  0.999765,
	 0.999769,  0.999774,  0.999778,  0.999782,  0.999786,  0.999790,  0.999793,  0.999797,
	 0.999801,  0.999805,  0.999809,  0.999812,  0.999816,  0.999820,  0.999823,  0.999827,
	 0.999831,  0.999834,  0.999838,  0.999841,  0.999844,  0.999848,  0.999851,  0.999854,
	 0.999858,  0.999861,  0.999864,  0.999867,  0.999870,  0.999873,  0.999876,  0.999879,
	 0.999882,  0.999885,  0.999888,  0.999891,  0.999894,  0.999897,  0.999899,  0.999902,
	 0.999905,  0.999907,  0.999910,  0.999913,  0.999915,  0.999917,  0.999920,  0.999922,
	 0.999925,  0.999927,  0.999929,  0.999932,  0.999934,  0.999936,  0.999938,  0.999940,
	 0.999942,  0.999944,  0.999946,  0.999948,  0.999950,  0.999952,  0.999954,  0.999956,
	 0.999958,  0.999959,  0.999961,  0.999963,  0.999964,  0.999966,  0.999968,  0.999969,
	 0.999971,  0.999972,  0.999973,  0.999975,  0.999976,  0.999977,  0.999979,  0.999980,
	 0.999981,  0.999982,  0.999983,  0.999985,  0.999986,  0.999987,  0.999988,  0.999988,
	 0.999989,  0.999990,  0.999991,  0.999992,  0.999993,  0.999993,  0.999994,  0.999995,
	 0.999995,  0.999996,  0.999996,  0.999997,  0.999997,  0.999998,  0.999998,  0.999999,
	 0.999999,  0.999999,  0.999999,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000
};

static const float cosTable65536[32768] = {
	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,
	 1.000000,  1.000000,  1.000000,  0.999999,  0.999999,  0.999999,  0.999999,  0.999999,
	 0.999999,  0.999999,  0.999999,  0.999998,  0.999998,  0.999998,  0.999998,  0.999998,
	 0.999997,  0.999997,  0.999997,  0.999997,  0.999996,  0.999996,  0.999996,  0.999996,
	 0.999995,  0.999995,  0.999995,  0.999994,  0.999994,  0.999994,  0.999993,  0.999993,
	 0.999993,  0.999992,  0.999992,  0.999991,  0.999991,  0.999991,  0.999990,  0.999990,
	 0.999989,  0.999989,  0.999988,  0.999988,  0.999988,  0.999987,  0.999987,  0.999986,
	 0.999986,  0.999985,  0.999985,  0.999984,  0.999983,  0.999983,  0.999982,  0.999982,
	 0.999981,  0.999981,  0.999980,  0.999979,  0.999979,  0.999978,  0.999977,  0.999977,
	 0.999976,  0.999976,  0.999975,  0.999974,  0.999973,  0.999973,  0.999972,  0.999971,
	 0.999971,  0.999970,  0.999969,  0.999968,  0.999968,  0.999967,  0.999966,  0.999965,
	 0.999964,  0.999964,  0.999963,  0.999962,  0.999961,  0.999960,  0.999959,  0.999959,
	 0.999958,  0.999957,  0.999956,  0.999955,  0.999954,  0.999953,  0.999952,  0.999951,
	 0.999950,  0.999949,  0.999948,  0.999947,  0.999946,  0.999945,  0.999944,  0.999943,
	 0.999942,  0.999941,  0.999940,  0.999939,  0.999938,  0.999937,  0.999936,  0.999935,
	 0.999934,  0.999933,  0.999932,  0.999930,  0.999929,  0.999928,  0.999927,  0.999926,
	 0.999925,  0.999924,  0.999922,  0.999921,  0.999920,  0.999919,  0.999917,  0.999916,
	 0.999915,  0.999914,  0.999913,  0.999911,  0.999910,  0.999909,  0.999907,  0.999906,
	 0.999905,  0.999903,  0.999902,  0.999901,  0.999899,  0.999898,  0.999897,  0.999895,
	 0.999894,  0.999892,  0.999891,  0.999890,  0.999888,  0.999887,  0.999885,  0.999884,
	 0.999882,  0.999881,  0.999879,  0.999878,  0.999876,  0.999875,  0.999873,  0.999872,
	 0.999870,  0.999869,  0.999867,  0.999866,  0.999864,  0.999862,  0.999861,  0.999859,
	 0.999858,  0.999856,  0.999854,  0.999853,  0.999851,  0.999849,  0.999848,  0.999846,
	 0.999844,  0.999843,  0.999841,  0.999839,  0.999838,  0.999836,  0.999834,  0.999832,
	 0.999831,  0.999829,  0.999827,  0.999825,  0.999823,  0.999822,  0.999820,  0.999818,
	 0.999816,  0.999814,  0.999812,  0.999811,  0.999809,  0.999807,  0.999805,  0.999803,
	 0.999801,  0.999799,  0.999797,  0.999795,  0.999793,  0.999792,  0.999790,  0.999788,
	 0.999786,  0.999784,  0.999782,  0.999780,  0.999778,  0.999776,  0.999774,  0.999771,
	 0.999769,  0.999767,  0.999765,  0.999763,  0.999761,  0.999759,  0.999757,  0.999755,
	 0.999753,  0.999750,  0.999748,  0.999746,  0.999744,  0.999742,  0.999740,  0.999738,
	 0.999735,  0.999733,  0.999731,  0.999729,  0.999726,  0.999724,  0.999722,  0.999720,
	 0.999717,  0.999715,  0.999713,  0.999710,  0.999708,  0.999706,  0.999704,  0.999701,
	 0.999699,  0.999696,  0.999694,  0.999692,  0.999689,  0.999687,  0.999685,  0.999682,
	 0.999680,  0.999677,  0.999675,  0.999672,  0.999670,  0.999667,  0.999665,  0.999663,
	 0.999660,  0.999658,  0.999655,  0.999652,  0.999650,  0.999647,  0.999645,  0.999642,
	 0.999640,  0.999637,  0.999635,  0.999632,  0.999629,  0.999627,  0.999624,  0.999621,
	 0.999619,  0.999616,  0.999614,  0.999611,  0.999608,  0.999605,  0.999603,  0.999600,
	 0.999597,  0.999595,  0.999592,  0.999589,  0.999586,  0.999584,  0.999581,  0.999578,
	 0.999575,  0.999573,  0.999570,  0.999567,  0.999564,  0.999561,  0.999558,  0.999556,
	 0.999553,  0.999550,  0.999547,  0.999544,  0.999541,  0.999538,  0.999535,  0.999532,
	 0.999529,  0.999527,  0.999524,  0.999521,  0.999518,  0.999515,  0.999512,  0.999509,
	 0.999506,  0.999503,  0.999500,  0.999497,  0.999493,  0.999490,  0.999487,  0.999484,
	 0.999481,  0.999478,  0.999475,  0.999472,  0.999469,  0.999466,  0.999462,  0.999459,
	 0.999456,  0.999453,  0.999450,  0.999447,  0.999443,  0.999440,  0.999437,  0.999434,
	 0.999431,  0.999427,  0.999424,  0.999421,  0.999418,  0.999414,  0.999411,  0.999408,
	 0.999404,  0.999401,  0.999398,  0.999394,  0.999391,  0.999388,  0.999384,  0.999381,
	 0.999378,  0.999374,  0.999371,  0.999367,  0.999364,  0.999361,  0.999357,  0.999354,
	 0.999350,  0.999347,  0.999343,  0.999340,  0.999336,  0.999333,  0.999329,  0.999326,
	 0.999322,  0.999319,  0.999315,  0.999312,  0.999308,  0.999305,  0.999301,  0.999297,
	 0.999294,  0.999290,  0.999287,  0.999283,  0.999279,  0.999276,  0.999272,  0.999268,
	 0.999265,  0.999261,  0.999257,  0.999254,  0.999250,  0.999246,  0.999243,  0.999239,
	 0.999235,  0.999231,  0.999228,  0.999224,  0.999220,  0.999216,  0.999212,  0.999209,
	 0.999205,  0.999201,  0.999197,  0.999193,  0.999189,  0.999186,  0.999182,  0.999178,
	 0.999174,  0.999170,  0.999166,  0.999162,  0.999158,  0.999154,  0.999150,  0.999146,
	 0.999142,  0.999138,  0.999134,  0.999130,  0.999126,  0.999122,  0.999118,  0.999114,
	 0.999110,  0.999106,  0.999102,  0.999098,  0.999094,  0.999090,  0.999086,  0.999082,
	 0.999078,  0.999074,  0.999069,  0.999065,  0.999061,  0.999057,  0.999053,  0.999049,
	 0.999044,  0.999040,  0.999036,  0.999032,  0.999028,  0.999023,  0.999019,  0.999015,
	 0.999011,  0.999006,  0.999002,  0.998998,  0.998994,  0.998989,  0.998985,  0.998981,
	 0.998976,  0.998972,  0.998968,  0.998963,  0.998959,  0.998954,  0.998950,  0.998946,
	 0.998941,  0.998937,  0.998932,  0.998928,  0.998924,  0.998919,  0.998915,  0.998910,
	 0.998906,  0.998901,  0.998897,  0.998892,  0.998888,  0.998883,  0.998879,  0.998874,
	 0.998870,  0.998865,  0.998860,  0.998856,  0.998851,  0.998847,  0.998842,  0.998837,
	 0.998833,  0.998828,  0.998824,  0.998819,  0.998814,  0.998810,  0.998805,  0.998800,
	 0.998795,  0.998791,  0.998786,  0.998781,  0.998777,  0.998772,  0.998767,  0.998762,
	 0.998758,  0.998753,  0.998748,  0.998743,  0.998738,  0.998734,  0.998729,  0.998724,
	 0.998719,  0.998714,  0.998709,  0.998704,  0.998700,  0.998695,  0.998690,  0.998685,
	 0.998680,  0.998675,  0.998670,  0.998665,  0.998660,  0.998655,  0.998650,  0.998645,
	 0.998640,  0.998635,  0.998630,  0.998625,  0.998620,  0.998615,  0.998610,  0.998605,
	 0.998600,  0.998595,  0.998590,  0.998585,  0.998580,  0.998574,  0.998569,  0.998564,
	 0.998559,  0.998554,  0.998549,  0.998544,  0.998538,  0.998533,  0.998528,  0.998523,
	 0.998518,  0.998512,  0.998507,  0.998502,  0.998497,  0.998491,  0.998486,  0.998481,
	 0.998476,  0.998470,  0.998465,  0.998460,  0.998454,  0.998449,  0.998444,  0.998438,
	 0.998433,  0.998428,  0.998422,  0.998417,  0.998411,  0.998406,  0.998401,  0.998395,
	 0.998390,  0.998384,  0.998379,  0.998373,  0.998368,  0.998362,  0.998357,  0.998351,
	 0.998346,  0.998340,  0.998335,  0.998329,  0.998324,  0.998318,  0.998313,  0.998307,
	 0.998302,  0.998296,  0.998290,  0.998285,  0.998279,  0.998273,  0.998268,  0.998262,
	 0.998257,  0.998251,  0.998245,  0.998240,  0.998234,  0.998228,  0.998222,  0.998217,
	 0.998211,  0.998205,  0.998200,  0.998194,  0.998188,  0.998182,  0.998176,  0.998171,
	 0.998165,  0.998159,  0.998153,  0.998147,  0.998142,  0.998136,  0.998130,  0.998124,
	 0.998118,  0.998112,  0.998106,  0.998100,  0.998094,  0.998089,  0.998083,  0.998077,
	 0.998071,  0.998065,  0.998059,  0.998053,  0.998047,  0.998041,  0.998035,  0.998029,
	 0.998023,  0.998017,  0.998011,  0.998005,  0.997999,  0.997993,  0.997987,  0.997980,
	 0.997974,  0.997968,  0.997962,  0.997956,  0.997950,  0.997944,  0.997938,  0.997931,
	 0.997925,  0.997919,  0.997913,  0.997907,  0.997901,  0.997894,  0.997888,  0.997882,
	 0.997876,  0.997869,  0.997863,  0.997857,  0.997851,  0.997844,  0.997838,  0.997832,
	 0.997825,  0.997819,  0.997813,  0.997806,  0.997800,  0.997794,  0.997787,  0.997781,
	 0.997774,  0.997768,  0.997762,  0.997755,  0.997749,  0.997742,  0.997736,  0.997730,
	 0.997723,  0.997717,  0.997710,  0.997704,  0.997697,  0.997691,  0.997684,  0.997678,
	 0.997671,  0.997665,  0.997658,  0.997651,  0.997645,  0.997638,  0.997632,  0.997625,
	 0.997618,  0.997612,  0.997605,  0.997599,  0.997592,  0.997585,  0.997579,  0.997572,
	 0.997565,  0.997559,  0.997552,  0.997545,  0.997538,  0.997532,  0.997525,  0.997518,
	 0.997511,  0.997505,  0.997498,  0.997491,  0.997484,  0.997478,  0.997471,  0.997464,
	 0.997457,  0.997450,  0.997443,  0.997437,  0.997430,  0.997423,  0.997416,  0.997409,
	 0.997402,  0.997395,  0.997388,  0.997381,  0.997374,  0.997368,  0.997361,  0.997354,
	 0.997347,  0.997340,  0.997333,  0.997326,  0.997319,  0.997312,  0.997305,  0.997298,
	 0.997290,  0.997283,  0.997276,  0.997269,  0.997262,  0.997255,  0.997248,  0.997241,
	 0.997234,  0.997227,  0.997219,  0.997212,  0.997205,  0.997198,  0.997191,  0.997184,
	 0.997176,  0.997169,  0.997162,  0.997155,  0.997148,  0.997140,  0.997133,  0.997126,
	 0.997119,  0.997111,  0.997104,  0.997097,  0.997089,  0.997082,  0.997075,  0.997067,
	 0.997060,  0.997053,  0.997045,  0.997038,  0.997031,  0.997023,  0.997016,  0.997008,
	 0.997001,  0.996994,  0.996986,  0.996979,  0.996971,  0.996964,  0.996956,  0.996949,
	 0.996941,  0.996934,  0.996926,  0.996919,  0.996911,  0.996904,  0.996896,  0.996889,
	 0.996881,  0.996874,  0.996866,  0.996858,  0.996851,  0.996843,  0.996836,  0.996828,
	 0.996820,  0.996813,  0.996805,  0.996797,  0.996790,  0.996782,  0.996774,  0.996767,
	 0.996759,  0.996751,  0.996743,  0.996736,  0.996728,  0.996720,  0.996712,  0.996705,
	 0.996697,  0.996689,  0.996681,  0.996674,  0.996666,  0.996658,  0.996650,  0.996642,
	 0.996634,  0.996626,  0.996619,  0.996611,  0.996603,  0.996595,  0.996587,  0.996579,
	 0.996571,  0.996563,  0.996555,  0.996547,  0.996539,  0.996531,  0.996523,  0.996515,
	 0.996507,  0.996499,  0.996491,  0.996483,  0.996475,  0.996467,  0.996459,  0.996451,
	 0.996443,  0.996435,  0.996427,  0.996419,  0.996411,  0.996403,  0.996394,  0.996386,
	 0.996378,  0.996370,  0.996362,  0.996354,  0.996345,  0.996337,  0.996329,  0.996321,
	 0.996313,  0.996304,  0.996296,  0.996288,  0.996280,  0.996271,  0.996263,  0.996255,
	 0.996247,  0.996238,  0.996230,  0.996222,  0.996213,  0.996205,  0.996197,  0.996188,
	 0.996180,  0.996171,  0.996163,  0.996155,  0.996146,  0.996138,  0.996129,  0.996121,
	 0.996113,  0.996104,  0.996096,  0.996087,  0.996079,  0.996070,  0.996062,  0.996053,
	 0.996045,  0.996036,  0.996028,  0.996019,  0.996011,  0.996002,  0.995993,  0.995985,
	 0.995976,  0.995968,  0.995959,  0.995950,  0.995942,  0.995933,  0.995925,  0.995916,
	 0.995907,  0.995899,  0.995890,  0.995881,  0.995872,  0.995864,  0.995855,  0.995846,
	 0.995838,  0.995829,  0.995820,  0.995811,  0.995803,  0.995794,  0.995785,  0.995776,
	 0.995767,  0.995759,  0.995750,  0.995741,  0.995732,  0.995723,  0.995714,  0.995705,
	 0.995697,  0.995688,  0.995679,  0.995670,  0.995661,  0.995652,  0.995643,  0.995634,
	 0.995625,  0.995616,  0.995607,  0.995598,  0.995589,  0.995580,  0.995571,  0.995562,
	 0.995553,  0.995544,  0.995535,  0.995526,  0.995517,  0.995508,  0.995499,  0.995490,
	 0.995481,  0.995472,  0.995463,  0.995453,  0.995444,  0.995435,  0.995426,  0.995417,
	 0.995408,  0.995398,  0.995389,  0.995380,  0.995371,  0.995362,  0.995352,  0.995343,
	 0.995334,  0.995325,  0.995315,  0.995306,  0.995297,  0.995288,  0.995278,  0.995269,
	 0.995260,  0.995250,  0.995241,  0.995232,  0.995222,  0.995213,  0.995203,  0.995194,
	 0.995185,  0.995175,  0.995166,  0.995156,  0.995147,  0.995138,  0.995128,  0.995119,
	 0.995109,  0.995100,  0.995090,  0.995081,  0.995071,  0.995062,  0.995052,  0.995043,
	 0.995033,  0.995024,  0.995014,  0.995005,  0.994995,  0.994985,  0.994976,  0.994966,
	 0.994957,  0.994947,  0.994937,  0.994928,  0.994918,  0.994908,  0.994899,  0.994889,
	 0.994879,  0.994870,  0.994860,  0.994850,  0.994841,  0.994831,  0.994821,  0.994811,
	 0.994802,  0.994792,  0.994782,  0.994772,  0.994762,  0.994753,  0.994743,  0.994733,
	 0.994723,  0.994713,  0.994703,  0.994694,  0.994684,  0.994674,  0.994664,  0.994654,
	 0.994644,  0.994634,  0.994624,  0.994614,  0.994604,  0.994594,  0.994585,  0.994575,
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	 0.039873,  0.039969,  0.040065,  0.040160,  0.040256,  0.040352,  0.040448,  0.040544,
	 0.040639,  0.040735,  0.040831,  0.040927,  0.041022,  0.041118,  0.041214,  0.041310,
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	 0.075859,  0.075955,  0.076050,  0.076146,  0.076241,  0.076337,  0.076433,  0.076528,
	 0.076624,  0.076719,  0.076815,  0.076911,  0.077006,  0.077102,  0.077197,  0.077293,
	 0.077389,  0.077484,  0.077580,  0.077675,  0.077771,  0.077866,  0.077962,  0.078058,
	 0.078153,  0.078249,  0.078344,  0.078440,  0.078536,  0.078631,  0.078727,  0.078822,
	 0.078918,  0.079013,  0.079109,  0.079205,  0.079300,  0.079396,  0.079491,  0.079587,
	 0.079682,  0.079778,  0.079874,  0.079969,  0.080065,  0.080160,  0.080256,  0.080351,
	 0.080447,  0.080543,  0.080638,  0.080734,  0.080829,  0.080925,  0.081020,  0.081116,
	 0.081211,  0.081307,  0.081403,  0.081498,  0.081594,  0.081689,  0.081785,  0.081880,
	 0.081976,  0.082071,  0.082167,  0.082263,  0.082358,  0.082454,  0.082549,  0.082645,
	 0.082740,  0.082836,  0.082931,  0.083027,  0.083122,  0.083218,  0.083314,  0.083409,
	 0.083505,  0.083600,  0.083696,  0.083791,  0.083887,  0.083982,  0.084078,  0.084173,
	 0.084269,  0.084364,  0.084460,  0.084555,  0.084651,  0.084747,  0.084842,  0.084938,
	 0.085033,  0.085129,  0.085224,  0.085320,  0.085415,  0.085511,  0.085606,  0.085702,
	 0.085797,  0.085893,  0.085988,  0.086084,  0.086179,  0.086275,  0.086370,  0.086466,
	 0.086561,  0.086657,  0.086752,  0.086848,  0.086943,  0.087039,  0.087135,  0.087230,
	 0.087326,  0.087421,  0.087517,  0.087612,  0.087708,  0.087803,  0.087899,  0.087994,
	 0.088090,  0.088185,  0.088281,  0.088376,  0.088472,  0.088567,  0.088663,  0.088758,
	 0.088854,  0.088949,  0.089045,  0.089140,  0.089236,  0.089331,  0.089427,  0.089522,
	 0.089617,  0.089713,  0.089808,  0.089904,  0.089999,  0.090095,  0.090190,  0.090286,
	 0.090381,  0.090477,  0.090572,  0.090668,  0.090763,  0.090859,  0.090954,  0.091050,
	 0.091145,  0.091241,  0.091336,  0.091432,  0.091527,  0.091623,  0.091718,  0.091813,
	 0.091909,  0.092004,  0.092100,  0.092195,  0.092291,  0.092386,  0.092482,  0.092577,
	 0.092673,  0.092768,  0.092864,  0.092959,  0.093055,  0.093150,  0.093245,  0.093341,
	 0.093436,  0.093532,  0.093627,  0.093723,  0.093818,  0.093914,  0.094009,  0.094104,
	 0.094200,  0.094295,  0.094391,  0.094486,  0.094582,  0.094677,  0.094773,  0.094868,
	 0.094963,  0.095059,  0.095154,  0.095250,  0.095345,  0.095441,  0.095536,  0.095632,
	 0.095727,  0.095822,  0.095918,  0.096013,  0.096109,  0.096204,  0.096300,  0.096395,
	 0.096490,  0.096586,  0.096681,  0.096777,  0.096872,  0.096968,  0.097063,  0.097158,
	 0.097254,  0.097349,  0.097445,  0.097540,  0.097635,  0.097731,  0.097826,  0.097922,
	 0.098017,  0.098113,  0.098208,  0.098303,  0.098399,  0.098494,  0.098590,  0.098685,
	 0.098780,  0.098876,  0.098971,  0.099067,  0.099162,  0.099257,  0.099353,  0.099448,
	 0.099544,  0.099639,  0.099734,  0.099830,  0.099925,  0.100021,  0.100116,  0.100211,
	 0.100307,  0.100402,  0.100498,  0.100593,  0.100688,  0.100784,  0.100879,  0.100974,
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	 0.999858,  0.999859,  0.999861,  0.999862,  0.999864,  0.999866,  0.999867,  0.999869,
	 0.999870,  0.999872,  0.999873,  0.999875,  0.999876,  0.999878,  0.999879,  0.999881,
	 0.999882,  0.999884,  0.999885,  0.999887,  0.999888,  0.999890,  0.999891,  0.999892,
	 0.999894,  0.999895,  0.999897,  0.999898,  0.999899,  0.999901,  0.999902,  0.999903,
	 0.999905,  0.999906,  0.999907,  0.999909,  0.999910,  0.999911,  0.999913,  0.999914,
	 0.999915,  0.999916,  0.999917,  0.999919,  0.999920,  0.999921,  0.999922,  0.999924,
	 0.999925,  0.999926,  0.999927,  0.999928,  0.999929,  0.999930,  0.999932,  0.999933,
	 0.999934,  0.999935,  0.999936,  0.999937,  0.999938,  0.999939,  0.999940,  0.999941,
	 0.999942,  0.999943,  0.999944,  0.999945,  0.999946,  0.999947,  0.999948,  0.999949,
	 0.999950,  0.999951,  0.999952,  0.999953,  0.999954,  0.999955,  0.999956,  0.999957,
	 0.999958,  0.999959,  0.999959,  0.999960,  0.999961,  0.999962,  0.999963,  0.999964,
	 0.999964,  0.999965,  0.999966,  0.999967,  0.999968,  0.999968,  0.999969,  0.999970,
	 0.999971,  0.999971,  0.999972,  0.999973,  0.999973,  0.999974,  0.999975,  0.999976,
	 0.999976,  0.999977,  0.999977,  0.999978,  0.999979,  0.999979,  0.999980,  0.999981,
	 0.999981,  0.999982,  0.999982,  0.999983,  0.999983,  0.999984,  0.999985,  0.999985,
	 0.999986,  0.999986,  0.999987,  0.999987,  0.999988,  0.999988,  0.999988,  0.999989,
	 0.999989,  0.999990,  0.999990,  0.999991,  0.999991,  0.999991,  0.999992,  0.999992,
	 0.999993,  0.999993,  0.999993,  0.999994,  0.999994,  0.999994,  0.999995,  0.999995,
	 0.999995,  0.999996,  0.999996,  0.999996,  0.999996,  0.999997,  0.999997,  0.999997,
	 0.999997,  0.999998,  0.999998,  0.999998,  0.999998,  0.999998,  0.999999,  0.999999,
	 0.999999,  0.999999,  0.999999,  0.999999,  0.999999,  0.999999,  1.000000,  1.000000,
	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000
};

static const float *cosTables[17] = {
	0           , 0           , 0            , 0            ,
	cosTable16  , cosTable32  , cosTable64   , cosTable128  ,
	cosTable256 , cosTable512 , cosTable1024 , cosTable2048 ,
	cosTable4096, cosTable8192, cosTable16384, cosTable32768,
	cosTable65536
};

const float *getCosineTable(int bits) {
	assert((bits >= 4) && (bits <= 16));

	return cosTables[bits];
}

} // End of namespace Common