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] = {
	 1.000000f,  0.923880f,  0.707107f,  0.382683f,  0.000000f,  0.382683f,  0.707107f,  0.923880f
};

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

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

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

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

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

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

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

static const float cosTable4096[2048] = {
	 1.000000f,  0.999999f,  0.999995f,  0.999989f,  0.999981f,  0.999971f,  0.999958f,  0.999942f,
	 0.999925f,  0.999905f,  0.999882f,  0.999858f,  0.999831f,  0.999801f,  0.999769f,  0.999735f,
	 0.999699f,  0.999660f,  0.999619f,  0.999575f,  0.999529f,  0.999481f,  0.999431f,  0.999378f,
	 0.999322f,  0.999265f,  0.999205f,  0.999142f,  0.999078f,  0.999011f,  0.998941f,  0.998870f,
	 0.998795f,  0.998719f,  0.998640f,  0.998559f,  0.998476f,  0.998390f,  0.998302f,  0.998211f,
	 0.998118f,  0.998023f,  0.997925f,  0.997825f,  0.997723f,  0.997618f,  0.997511f,  0.997402f,
	 0.997290f,  0.997176f,  0.997060f,  0.996941f,  0.996820f,  0.996697f,  0.996571f,  0.996443f,
	 0.996313f,  0.996180f,  0.996045f,  0.995907f,  0.995767f,  0.995625f,  0.995481f,  0.995334f,
	 0.995185f,  0.995033f,  0.994879f,  0.994723f,  0.994565f,  0.994404f,  0.994240f,  0.994075f,
	 0.993907f,  0.993737f,  0.993564f,  0.993389f,  0.993212f,  0.993032f,  0.992850f,  0.992666f,
	 0.992480f,  0.992291f,  0.992099f,  0.991906f,  0.991710f,  0.991511f,  0.991311f,  0.991108f,
	 0.990903f,  0.990695f,  0.990485f,  0.990273f,  0.990058f,  0.989841f,  0.989622f,  0.989400f,
	 0.989177f,  0.988950f,  0.988722f,  0.988491f,  0.988258f,  0.988022f,  0.987784f,  0.987544f,
	 0.987301f,  0.987057f,  0.986809f,  0.986560f,  0.986308f,  0.986054f,  0.985798f,  0.985539f,
	 0.985278f,  0.985014f,  0.984748f,  0.984480f,  0.984210f,  0.983937f,  0.983662f,  0.983385f,
	 0.983105f,  0.982824f,  0.982539f,  0.982253f,  0.981964f,  0.981673f,  0.981379f,  0.981083f,
	 0.980785f,  0.980485f,  0.980182f,  0.979877f,  0.979570f,  0.979260f,  0.978948f,  0.978634f,
	 0.978317f,  0.977998f,  0.977677f,  0.977354f,  0.977028f,  0.976700f,  0.976370f,  0.976037f,
	 0.975702f,  0.975365f,  0.975025f,  0.974684f,  0.974339f,  0.973993f,  0.973644f,  0.973293f,
	 0.972940f,  0.972584f,  0.972227f,  0.971866f,  0.971504f,  0.971139f,  0.970772f,  0.970403f,
	 0.970031f,  0.969657f,  0.969281f,  0.968903f,  0.968522f,  0.968139f,  0.967754f,  0.967366f,
	 0.966976f,  0.966584f,  0.966190f,  0.965793f,  0.965394f,  0.964993f,  0.964590f,  0.964184f,
	 0.963776f,  0.963366f,  0.962953f,  0.962538f,  0.962121f,  0.961702f,  0.961280f,  0.960857f,
	 0.960431f,  0.960002f,  0.959572f,  0.959139f,  0.958703f,  0.958266f,  0.957826f,  0.957385f,
	 0.956940f,  0.956494f,  0.956045f,  0.955594f,  0.955141f,  0.954686f,  0.954228f,  0.953768f,
	 0.953306f,  0.952842f,  0.952375f,  0.951906f,  0.951435f,  0.950962f,  0.950486f,  0.950008f,
	 0.949528f,  0.949046f,  0.948561f,  0.948075f,  0.947586f,  0.947094f,  0.946601f,  0.946105f,
	 0.945607f,  0.945107f,  0.944605f,  0.944100f,  0.943593f,  0.943084f,  0.942573f,  0.942060f,
	 0.941544f,  0.941026f,  0.940506f,  0.939984f,  0.939459f,  0.938932f,  0.938404f,  0.937872f,
	 0.937339f,  0.936803f,  0.936266f,  0.935726f,  0.935184f,  0.934639f,  0.934093f,  0.933544f,
	 0.932993f,  0.932440f,  0.931884f,  0.931327f,  0.930767f,  0.930205f,  0.929641f,  0.929075f,
	 0.928506f,  0.927935f,  0.927363f,  0.926787f,  0.926210f,  0.925631f,  0.925049f,  0.924465f,
	 0.923880f,  0.923291f,  0.922701f,  0.922109f,  0.921514f,  0.920917f,  0.920318f,  0.919717f,
	 0.919114f,  0.918508f,  0.917901f,  0.917291f,  0.916679f,  0.916065f,  0.915449f,  0.914830f,
	 0.914210f,  0.913587f,  0.912962f,  0.912335f,  0.911706f,  0.911075f,  0.910441f,  0.909806f,
	 0.909168f,  0.908528f,  0.907886f,  0.907242f,  0.906596f,  0.905947f,  0.905297f,  0.904644f,
	 0.903989f,  0.903332f,  0.902673f,  0.902012f,  0.901349f,  0.900683f,  0.900016f,  0.899346f,
	 0.898674f,  0.898001f,  0.897325f,  0.896646f,  0.895966f,  0.895284f,  0.894599f,  0.893913f,
	 0.893224f,  0.892534f,  0.891841f,  0.891146f,  0.890449f,  0.889750f,  0.889048f,  0.888345f,
	 0.887640f,  0.886932f,  0.886223f,  0.885511f,  0.884797f,  0.884081f,  0.883363f,  0.882643f,
	 0.881921f,  0.881197f,  0.880471f,  0.879743f,  0.879012f,  0.878280f,  0.877545f,  0.876809f,
	 0.876070f,  0.875329f,  0.874587f,  0.873842f,  0.873095f,  0.872346f,  0.871595f,  0.870842f,
	 0.870087f,  0.869330f,  0.868571f,  0.867809f,  0.867046f,  0.866281f,  0.865514f,  0.864744f,
	 0.863973f,  0.863199f,  0.862424f,  0.861646f,  0.860867f,  0.860085f,  0.859302f,  0.858516f,
	 0.857729f,  0.856939f,  0.856147f,  0.855354f,  0.854558f,  0.853760f,  0.852961f,  0.852159f,
	 0.851355f,  0.850549f,  0.849742f,  0.848932f,  0.848120f,  0.847307f,  0.846491f,  0.845673f,
	 0.844854f,  0.844032f,  0.843208f,  0.842383f,  0.841555f,  0.840725f,  0.839894f,  0.839060f,
	 0.838225f,  0.837387f,  0.836548f,  0.835706f,  0.834863f,  0.834018f,  0.833170f,  0.832321f,
	 0.831470f,  0.830616f,  0.829761f,  0.828904f,  0.828045f,  0.827184f,  0.826321f,  0.825456f,
	 0.824589f,  0.823721f,  0.822850f,  0.821977f,  0.821102f,  0.820226f,  0.819348f,  0.818467f,
	 0.817585f,  0.816701f,  0.815814f,  0.814926f,  0.814036f,  0.813144f,  0.812251f,  0.811355f,
	 0.810457f,  0.809558f,  0.808656f,  0.807753f,  0.806848f,  0.805940f,  0.805031f,  0.804120f,
	 0.803208f,  0.802293f,  0.801376f,  0.800458f,  0.799537f,  0.798615f,  0.797691f,  0.796765f,
	 0.795837f,  0.794907f,  0.793975f,  0.793042f,  0.792107f,  0.791169f,  0.790230f,  0.789289f,
	 0.788346f,  0.787402f,  0.786455f,  0.785507f,  0.784557f,  0.783605f,  0.782651f,  0.781695f,
	 0.780737f,  0.779778f,  0.778817f,  0.777853f,  0.776888f,  0.775922f,  0.774953f,  0.773983f,
	 0.773010f,  0.772036f,  0.771061f,  0.770083f,  0.769103f,  0.768122f,  0.767139f,  0.766154f,
	 0.765167f,  0.764179f,  0.763188f,  0.762196f,  0.761202f,  0.760207f,  0.759209f,  0.758210f,
	 0.757209f,  0.756206f,  0.755201f,  0.754195f,  0.753187f,  0.752177f,  0.751165f,  0.750152f,
	 0.749136f,  0.748119f,  0.747101f,  0.746080f,  0.745058f,  0.744034f,  0.743008f,  0.741980f,
	 0.740951f,  0.739920f,  0.738887f,  0.737853f,  0.736817f,  0.735779f,  0.734739f,  0.733697f,
	 0.732654f,  0.731609f,  0.730563f,  0.729514f,  0.728464f,  0.727413f,  0.726359f,  0.725304f,
	 0.724247f,  0.723188f,  0.722128f,  0.721066f,  0.720003f,  0.718937f,  0.717870f,  0.716801f,
	 0.715731f,  0.714659f,  0.713585f,  0.712509f,  0.711432f,  0.710353f,  0.709273f,  0.708191f,
	 0.707107f,  0.706021f,  0.704934f,  0.703845f,  0.702755f,  0.701663f,  0.700569f,  0.699473f,
	 0.698376f,  0.697277f,  0.696177f,  0.695075f,  0.693971f,  0.692866f,  0.691759f,  0.690651f,
	 0.689541f,  0.688429f,  0.687315f,  0.686200f,  0.685084f,  0.683965f,  0.682846f,  0.681724f,
	 0.680601f,  0.679476f,  0.678350f,  0.677222f,  0.676093f,  0.674962f,  0.673829f,  0.672695f,
	 0.671559f,  0.670422f,  0.669283f,  0.668142f,  0.667000f,  0.665856f,  0.664711f,  0.663564f,
	 0.662416f,  0.661266f,  0.660114f,  0.658961f,  0.657807f,  0.656651f,  0.655493f,  0.654334f,
	 0.653173f,  0.652011f,  0.650847f,  0.649681f,  0.648514f,  0.647346f,  0.646176f,  0.645005f,
	 0.643832f,  0.642657f,  0.641481f,  0.640303f,  0.639124f,  0.637944f,  0.636762f,  0.635578f,
	 0.634393f,  0.633207f,  0.632019f,  0.630829f,  0.629638f,  0.628446f,  0.627252f,  0.626056f,
	 0.624860f,  0.623661f,  0.622461f,  0.621260f,  0.620057f,  0.618853f,  0.617647f,  0.616440f,
	 0.615232f,  0.614022f,  0.612810f,  0.611597f,  0.610383f,  0.609167f,  0.607950f,  0.606731f,
	 0.605511f,  0.604290f,  0.603067f,  0.601842f,  0.600616f,  0.599389f,  0.598161f,  0.596931f,
	 0.595699f,  0.594467f,  0.593232f,  0.591997f,  0.590760f,  0.589521f,  0.588282f,  0.587040f,
	 0.585798f,  0.584554f,  0.583309f,  0.582062f,  0.580814f,  0.579565f,  0.578314f,  0.577062f,
	 0.575808f,  0.574553f,  0.573297f,  0.572040f,  0.570781f,  0.569521f,  0.568259f,  0.566996f,
	 0.565732f,  0.564466f,  0.563199f,  0.561931f,  0.560662f,  0.559391f,  0.558119f,  0.556845f,
	 0.555570f,  0.554294f,  0.553017f,  0.551738f,  0.550458f,  0.549177f,  0.547894f,  0.546610f,
	 0.545325f,  0.544039f,  0.542751f,  0.541462f,  0.540171f,  0.538880f,  0.537587f,  0.536293f,
	 0.534998f,  0.533701f,  0.532403f,  0.531104f,  0.529804f,  0.528502f,  0.527199f,  0.525895f,
	 0.524590f,  0.523283f,  0.521975f,  0.520666f,  0.519356f,  0.518045f,  0.516732f,  0.515418f,
	 0.514103f,  0.512786f,  0.511469f,  0.510150f,  0.508830f,  0.507509f,  0.506187f,  0.504863f,
	 0.503538f,  0.502212f,  0.500885f,  0.499557f,  0.498228f,  0.496897f,  0.495565f,  0.494232f,
	 0.492898f,  0.491563f,  0.490226f,  0.488889f,  0.487550f,  0.486210f,  0.484869f,  0.483527f,
	 0.482184f,  0.480839f,  0.479494f,  0.478147f,  0.476799f,  0.475450f,  0.474100f,  0.472749f,
	 0.471397f,  0.470043f,  0.468689f,  0.467333f,  0.465977f,  0.464619f,  0.463260f,  0.461900f,
	 0.460539f,  0.459177f,  0.457813f,  0.456449f,  0.455084f,  0.453717f,  0.452350f,  0.450981f,
	 0.449611f,  0.448241f,  0.446869f,  0.445496f,  0.444122f,  0.442747f,  0.441371f,  0.439994f,
	 0.438616f,  0.437237f,  0.435857f,  0.434476f,  0.433094f,  0.431711f,  0.430326f,  0.428941f,
	 0.427555f,  0.426168f,  0.424780f,  0.423390f,  0.422000f,  0.420609f,  0.419217f,  0.417824f,
	 0.416430f,  0.415034f,  0.413638f,  0.412241f,  0.410843f,  0.409444f,  0.408044f,  0.406643f,
	 0.405241f,  0.403838f,  0.402435f,  0.401030f,  0.399624f,  0.398218f,  0.396810f,  0.395401f,
	 0.393992f,  0.392582f,  0.391170f,  0.389758f,  0.388345f,  0.386931f,  0.385516f,  0.384100f,
	 0.382683f,  0.381266f,  0.379847f,  0.378428f,  0.377007f,  0.375586f,  0.374164f,  0.372741f,
	 0.371317f,  0.369892f,  0.368467f,  0.367040f,  0.365613f,  0.364185f,  0.362756f,  0.361326f,
	 0.359895f,  0.358463f,  0.357031f,  0.355598f,  0.354164f,  0.352729f,  0.351293f,  0.349856f,
	 0.348419f,  0.346980f,  0.345541f,  0.344101f,  0.342661f,  0.341219f,  0.339777f,  0.338334f,
	 0.336890f,  0.335445f,  0.334000f,  0.332553f,  0.331106f,  0.329658f,  0.328210f,  0.326760f,
	 0.325310f,  0.323859f,  0.322408f,  0.320955f,  0.319502f,  0.318048f,  0.316593f,  0.315138f,
	 0.313682f,  0.312225f,  0.310767f,  0.309309f,  0.307850f,  0.306390f,  0.304929f,  0.303468f,
	 0.302006f,  0.300543f,  0.299080f,  0.297616f,  0.296151f,  0.294685f,  0.293219f,  0.291752f,
	 0.290285f,  0.288816f,  0.287347f,  0.285878f,  0.284408f,  0.282937f,  0.281465f,  0.279993f,
	 0.278520f,  0.277046f,  0.275572f,  0.274097f,  0.272621f,  0.271145f,  0.269668f,  0.268191f,
	 0.266713f,  0.265234f,  0.263755f,  0.262275f,  0.260794f,  0.259313f,  0.257831f,  0.256349f,
	 0.254866f,  0.253382f,  0.251898f,  0.250413f,  0.248928f,  0.247442f,  0.245955f,  0.244468f,
	 0.242980f,  0.241492f,  0.240003f,  0.238514f,  0.237024f,  0.235533f,  0.234042f,  0.232550f,
	 0.231058f,  0.229565f,  0.228072f,  0.226578f,  0.225084f,  0.223589f,  0.222094f,  0.220598f,
	 0.219101f,  0.217604f,  0.216107f,  0.214609f,  0.213110f,  0.211611f,  0.210112f,  0.208612f,
	 0.207111f,  0.205610f,  0.204109f,  0.202607f,  0.201105f,  0.199602f,  0.198098f,  0.196595f,
	 0.195090f,  0.193586f,  0.192080f,  0.190575f,  0.189069f,  0.187562f,  0.186055f,  0.184548f,
	 0.183040f,  0.181532f,  0.180023f,  0.178514f,  0.177004f,  0.175494f,  0.173984f,  0.172473f,
	 0.170962f,  0.169450f,  0.167938f,  0.166426f,  0.164913f,  0.163400f,  0.161886f,  0.160372f,
	 0.158858f,  0.157343f,  0.155828f,  0.154313f,  0.152797f,  0.151281f,  0.149765f,  0.148248f,
	 0.146730f,  0.145213f,  0.143695f,  0.142177f,  0.140658f,  0.139139f,  0.137620f,  0.136101f,
	 0.134581f,  0.133061f,  0.131540f,  0.130019f,  0.128498f,  0.126977f,  0.125455f,  0.123933f,
	 0.122411f,  0.120888f,  0.119365f,  0.117842f,  0.116319f,  0.114795f,  0.113271f,  0.111747f,
	 0.110222f,  0.108697f,  0.107172f,  0.105647f,  0.104122f,  0.102596f,  0.101070f,  0.099544f,
	 0.098017f,  0.096490f,  0.094963f,  0.093436f,  0.091909f,  0.090381f,  0.088854f,  0.087326f,
	 0.085797f,  0.084269f,  0.082740f,  0.081211f,  0.079682f,  0.078153f,  0.076624f,  0.075094f,
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	 0.993907f,  0.994075f,  0.994240f,  0.994404f,  0.994565f,  0.994723f,  0.994879f,  0.995033f,
	 0.995185f,  0.995334f,  0.995481f,  0.995625f,  0.995767f,  0.995907f,  0.996045f,  0.996180f,
	 0.996313f,  0.996443f,  0.996571f,  0.996697f,  0.996820f,  0.996941f,  0.997060f,  0.997176f,
	 0.997290f,  0.997402f,  0.997511f,  0.997618f,  0.997723f,  0.997825f,  0.997925f,  0.998023f,
	 0.998118f,  0.998211f,  0.998302f,  0.998390f,  0.998476f,  0.998559f,  0.998640f,  0.998719f,
	 0.998795f,  0.998870f,  0.998941f,  0.999011f,  0.999078f,  0.999142f,  0.999205f,  0.999265f,
	 0.999322f,  0.999378f,  0.999431f,  0.999481f,  0.999529f,  0.999575f,  0.999619f,  0.999660f,
	 0.999699f,  0.999735f,  0.999769f,  0.999801f,  0.999831f,  0.999858f,  0.999882f,  0.999905f,
	 0.999925f,  0.999942f,  0.999958f,  0.999971f,  0.999981f,  0.999989f,  0.999995f,  0.999999f
};

static const float cosTable8192[4096] = {
	 1.000000f,  1.000000f,  0.999999f,  0.999997f,  0.999995f,  0.999993f,  0.999989f,  0.999986f,
	 0.999981f,  0.999976f,  0.999971f,  0.999964f,  0.999958f,  0.999950f,  0.999942f,  0.999934f,
	 0.999925f,  0.999915f,  0.999905f,  0.999894f,  0.999882f,  0.999870f,  0.999858f,  0.999844f,
	 0.999831f,  0.999816f,  0.999801f,  0.999786f,  0.999769f,  0.999753f,  0.999735f,  0.999717f,
	 0.999699f,  0.999680f,  0.999660f,  0.999640f,  0.999619f,  0.999597f,  0.999575f,  0.999553f,
	 0.999529f,  0.999506f,  0.999481f,  0.999456f,  0.999431f,  0.999404f,  0.999378f,  0.999350f,
	 0.999322f,  0.999294f,  0.999265f,  0.999235f,  0.999205f,  0.999174f,  0.999142f,  0.999110f,
	 0.999078f,  0.999044f,  0.999011f,  0.998976f,  0.998941f,  0.998906f,  0.998870f,  0.998833f,
	 0.998795f,  0.998758f,  0.998719f,  0.998680f,  0.998640f,  0.998600f,  0.998559f,  0.998518f,
	 0.998476f,  0.998433f,  0.998390f,  0.998346f,  0.998302f,  0.998257f,  0.998211f,  0.998165f,
	 0.998118f,  0.998071f,  0.998023f,  0.997974f,  0.997925f,  0.997876f,  0.997825f,  0.997774f,
	 0.997723f,  0.997671f,  0.997618f,  0.997565f,  0.997511f,  0.997457f,  0.997402f,  0.997347f,
	 0.997290f,  0.997234f,  0.997176f,  0.997119f,  0.997060f,  0.997001f,  0.996941f,  0.996881f,
	 0.996820f,  0.996759f,  0.996697f,  0.996634f,  0.996571f,  0.996507f,  0.996443f,  0.996378f,
	 0.996313f,  0.996247f,  0.996180f,  0.996113f,  0.996045f,  0.995976f,  0.995907f,  0.995838f,
	 0.995767f,  0.995697f,  0.995625f,  0.995553f,  0.995481f,  0.995408f,  0.995334f,  0.995260f,
	 0.995185f,  0.995109f,  0.995033f,  0.994957f,  0.994879f,  0.994802f,  0.994723f,  0.994644f,
	 0.994565f,  0.994484f,  0.994404f,  0.994322f,  0.994240f,  0.994158f,  0.994075f,  0.993991f,
	 0.993907f,  0.993822f,  0.993737f,  0.993651f,  0.993564f,  0.993477f,  0.993389f,  0.993301f,
	 0.993212f,  0.993122f,  0.993032f,  0.992942f,  0.992850f,  0.992759f,  0.992666f,  0.992573f,
	 0.992480f,  0.992385f,  0.992291f,  0.992195f,  0.992099f,  0.992003f,  0.991906f,  0.991808f,
	 0.991710f,  0.991611f,  0.991511f,  0.991411f,  0.991311f,  0.991210f,  0.991108f,  0.991006f,
	 0.990903f,  0.990799f,  0.990695f,  0.990590f,  0.990485f,  0.990379f,  0.990273f,  0.990166f,
	 0.990058f,  0.989950f,  0.989841f,  0.989732f,  0.989622f,  0.989511f,  0.989400f,  0.989289f,
	 0.989177f,  0.989064f,  0.988950f,  0.988836f,  0.988722f,  0.988607f,  0.988491f,  0.988374f,
	 0.988258f,  0.988140f,  0.988022f,  0.987903f,  0.987784f,  0.987664f,  0.987544f,  0.987423f,
	 0.987301f,  0.987179f,  0.987057f,  0.986933f,  0.986809f,  0.986685f,  0.986560f,  0.986434f,
	 0.986308f,  0.986181f,  0.986054f,  0.985926f,  0.985798f,  0.985668f,  0.985539f,  0.985408f,
	 0.985278f,  0.985146f,  0.985014f,  0.984882f,  0.984748f,  0.984615f,  0.984480f,  0.984346f,
	 0.984210f,  0.984074f,  0.983937f,  0.983800f,  0.983662f,  0.983524f,  0.983385f,  0.983246f,
	 0.983105f,  0.982965f,  0.982824f,  0.982682f,  0.982539f,  0.982396f,  0.982253f,  0.982109f,
	 0.981964f,  0.981819f,  0.981673f,  0.981526f,  0.981379f,  0.981232f,  0.981083f,  0.980935f,
	 0.980785f,  0.980635f,  0.980485f,  0.980334f,  0.980182f,  0.980030f,  0.979877f,  0.979724f,
	 0.979570f,  0.979415f,  0.979260f,  0.979104f,  0.978948f,  0.978791f,  0.978634f,  0.978476f,
	 0.978317f,  0.978158f,  0.977998f,  0.977838f,  0.977677f,  0.977516f,  0.977354f,  0.977191f,
	 0.977028f,  0.976864f,  0.976700f,  0.976535f,  0.976370f,  0.976204f,  0.976037f,  0.975870f,
	 0.975702f,  0.975534f,  0.975365f,  0.975195f,  0.975025f,  0.974855f,  0.974684f,  0.974512f,
	 0.974339f,  0.974166f,  0.973993f,  0.973819f,  0.973644f,  0.973469f,  0.973293f,  0.973117f,
	 0.972940f,  0.972762f,  0.972584f,  0.972406f,  0.972227f,  0.972047f,  0.971866f,  0.971685f,
	 0.971504f,  0.971322f,  0.971139f,  0.970956f,  0.970772f,  0.970588f,  0.970403f,  0.970217f,
	 0.970031f,  0.969845f,  0.969657f,  0.969470f,  0.969281f,  0.969092f,  0.968903f,  0.968713f,
	 0.968522f,  0.968331f,  0.968139f,  0.967947f,  0.967754f,  0.967560f,  0.967366f,  0.967172f,
	 0.966976f,  0.966781f,  0.966584f,  0.966387f,  0.966190f,  0.965992f,  0.965793f,  0.965594f,
	 0.965394f,  0.965194f,  0.964993f,  0.964792f,  0.964590f,  0.964387f,  0.964184f,  0.963980f,
	 0.963776f,  0.963571f,  0.963366f,  0.963160f,  0.962953f,  0.962746f,  0.962538f,  0.962330f,
	 0.962121f,  0.961912f,  0.961702f,  0.961492f,  0.961280f,  0.961069f,  0.960857f,  0.960644f,
	 0.960431f,  0.960217f,  0.960002f,  0.959787f,  0.959572f,  0.959355f,  0.959139f,  0.958921f,
	 0.958703f,  0.958485f,  0.958266f,  0.958046f,  0.957826f,  0.957606f,  0.957385f,  0.957163f,
	 0.956940f,  0.956717f,  0.956494f,  0.956270f,  0.956045f,  0.955820f,  0.955594f,  0.955368f,
	 0.955141f,  0.954914f,  0.954686f,  0.954457f,  0.954228f,  0.953998f,  0.953768f,  0.953537f,
	 0.953306f,  0.953074f,  0.952842f,  0.952609f,  0.952375f,  0.952141f,  0.951906f,  0.951671f,
	 0.951435f,  0.951199f,  0.950962f,  0.950724f,  0.950486f,  0.950247f,  0.950008f,  0.949768f,
	 0.949528f,  0.949287f,  0.949046f,  0.948804f,  0.948561f,  0.948318f,  0.948075f,  0.947830f,
	 0.947586f,  0.947340f,  0.947094f,  0.946848f,  0.946601f,  0.946353f,  0.946105f,  0.945857f,
	 0.945607f,  0.945358f,  0.945107f,  0.944856f,  0.944605f,  0.944353f,  0.944100f,  0.943847f,
	 0.943593f,  0.943339f,  0.943084f,  0.942829f,  0.942573f,  0.942317f,  0.942060f,  0.941802f,
	 0.941544f,  0.941285f,  0.941026f,  0.940766f,  0.940506f,  0.940245f,  0.939984f,  0.939722f,
	 0.939459f,  0.939196f,  0.938932f,  0.938668f,  0.938404f,  0.938138f,  0.937872f,  0.937606f,
	 0.937339f,  0.937072f,  0.936803f,  0.936535f,  0.936266f,  0.935996f,  0.935726f,  0.935455f,
	 0.935184f,  0.934912f,  0.934639f,  0.934366f,  0.934093f,  0.933818f,  0.933544f,  0.933269f,
	 0.932993f,  0.932716f,  0.932440f,  0.932162f,  0.931884f,  0.931606f,  0.931327f,  0.931047f,
	 0.930767f,  0.930486f,  0.930205f,  0.929923f,  0.929641f,  0.929358f,  0.929075f,  0.928791f,
	 0.928506f,  0.928221f,  0.927935f,  0.927649f,  0.927363f,  0.927075f,  0.926787f,  0.926499f,
	 0.926210f,  0.925921f,  0.925631f,  0.925340f,  0.925049f,  0.924758f,  0.924465f,  0.924173f,
	 0.923880f,  0.923586f,  0.923291f,  0.922997f,  0.922701f,  0.922405f,  0.922109f,  0.921812f,
	 0.921514f,  0.921216f,  0.920917f,  0.920618f,  0.920318f,  0.920018f,  0.919717f,  0.919416f,
	 0.919114f,  0.918811f,  0.918508f,  0.918205f,  0.917901f,  0.917596f,  0.917291f,  0.916985f,
	 0.916679f,  0.916372f,  0.916065f,  0.915757f,  0.915449f,  0.915140f,  0.914830f,  0.914520f,
	 0.914210f,  0.913899f,  0.913587f,  0.913275f,  0.912962f,  0.912649f,  0.912335f,  0.912021f,
	 0.911706f,  0.911391f,  0.911075f,  0.910758f,  0.910441f,  0.910124f,  0.909806f,  0.909487f,
	 0.909168f,  0.908848f,  0.908528f,  0.908207f,  0.907886f,  0.907564f,  0.907242f,  0.906919f,
	 0.906596f,  0.906272f,  0.905947f,  0.905622f,  0.905297f,  0.904971f,  0.904644f,  0.904317f,
	 0.903989f,  0.903661f,  0.903332f,  0.903003f,  0.902673f,  0.902343f,  0.902012f,  0.901681f,
	 0.901349f,  0.901016f,  0.900683f,  0.900350f,  0.900016f,  0.899681f,  0.899346f,  0.899011f,
	 0.898674f,  0.898338f,  0.898001f,  0.897663f,  0.897325f,  0.896986f,  0.896646f,  0.896307f,
	 0.895966f,  0.895625f,  0.895284f,  0.894942f,  0.894599f,  0.894256f,  0.893913f,  0.893569f,
	 0.893224f,  0.892879f,  0.892534f,  0.892187f,  0.891841f,  0.891493f,  0.891146f,  0.890797f,
	 0.890449f,  0.890099f,  0.889750f,  0.889399f,  0.889048f,  0.888697f,  0.888345f,  0.887993f,
	 0.887640f,  0.887286f,  0.886932f,  0.886578f,  0.886223f,  0.885867f,  0.885511f,  0.885154f,
	 0.884797f,  0.884439f,  0.884081f,  0.883723f,  0.883363f,  0.883004f,  0.882643f,  0.882283f,
	 0.881921f,  0.881559f,  0.881197f,  0.880834f,  0.880471f,  0.880107f,  0.879743f,  0.879378f,
	 0.879012f,  0.878646f,  0.878280f,  0.877913f,  0.877545f,  0.877177f,  0.876809f,  0.876440f,
	 0.876070f,  0.875700f,  0.875329f,  0.874958f,  0.874587f,  0.874215f,  0.873842f,  0.873469f,
	 0.873095f,  0.872721f,  0.872346f,  0.871971f,  0.871595f,  0.871219f,  0.870842f,  0.870465f,
	 0.870087f,  0.869709f,  0.869330f,  0.868951f,  0.868571f,  0.868190f,  0.867809f,  0.867428f,
	 0.867046f,  0.866664f,  0.866281f,  0.865898f,  0.865514f,  0.865129f,  0.864744f,  0.864359f,
	 0.863973f,  0.863586f,  0.863199f,  0.862812f,  0.862424f,  0.862035f,  0.861646f,  0.861257f,
	 0.860867f,  0.860476f,  0.860085f,  0.859694f,  0.859302f,  0.858909f,  0.858516f,  0.858123f,
	 0.857729f,  0.857334f,  0.856939f,  0.856543f,  0.856147f,  0.855751f,  0.855354f,  0.854956f,
	 0.854558f,  0.854159f,  0.853760f,  0.853361f,  0.852961f,  0.852560f,  0.852159f,  0.851757f,
	 0.851355f,  0.850953f,  0.850549f,  0.850146f,  0.849742f,  0.849337f,  0.848932f,  0.848526f,
	 0.848120f,  0.847714f,  0.847307f,  0.846899f,  0.846491f,  0.846082f,  0.845673f,  0.845264f,
	 0.844854f,  0.844443f,  0.844032f,  0.843620f,  0.843208f,  0.842796f,  0.842383f,  0.841969f,
	 0.841555f,  0.841140f,  0.840725f,  0.840310f,  0.839894f,  0.839477f,  0.839060f,  0.838643f,
	 0.838225f,  0.837806f,  0.837387f,  0.836968f,  0.836548f,  0.836127f,  0.835706f,  0.835285f,
	 0.834863f,  0.834440f,  0.834018f,  0.833594f,  0.833170f,  0.832746f,  0.832321f,  0.831895f,
	 0.831470f,  0.831043f,  0.830616f,  0.830189f,  0.829761f,  0.829333f,  0.828904f,  0.828475f,
	 0.828045f,  0.827615f,  0.827184f,  0.826753f,  0.826321f,  0.825889f,  0.825456f,  0.825023f,
	 0.824589f,  0.824155f,  0.823721f,  0.823285f,  0.822850f,  0.822414f,  0.821977f,  0.821540f,
	 0.821102f,  0.820664f,  0.820226f,  0.819787f,  0.819348f,  0.818908f,  0.818467f,  0.818026f,
	 0.817585f,  0.817143f,  0.816701f,  0.816258f,  0.815814f,  0.815371f,  0.814926f,  0.814482f,
	 0.814036f,  0.813591f,  0.813144f,  0.812698f,  0.812251f,  0.811803f,  0.811355f,  0.810906f,
	 0.810457f,  0.810008f,  0.809558f,  0.809107f,  0.808656f,  0.808205f,  0.807753f,  0.807300f,
	 0.806848f,  0.806394f,  0.805940f,  0.805486f,  0.805031f,  0.804576f,  0.804120f,  0.803664f,
	 0.803208f,  0.802750f,  0.802293f,  0.801835f,  0.801376f,  0.800917f,  0.800458f,  0.799998f,
	 0.799537f,  0.799076f,  0.798615f,  0.798153f,  0.797691f,  0.797228f,  0.796765f,  0.796301f,
	 0.795837f,  0.795372f,  0.794907f,  0.794442f,  0.793975f,  0.793509f,  0.793042f,  0.792575f,
	 0.792107f,  0.791638f,  0.791169f,  0.790700f,  0.790230f,  0.789760f,  0.789289f,  0.788818f,
	 0.788346f,  0.787874f,  0.787402f,  0.786929f,  0.786455f,  0.785981f,  0.785507f,  0.785032f,
	 0.784557f,  0.784081f,  0.783605f,  0.783128f,  0.782651f,  0.782173f,  0.781695f,  0.781216f,
	 0.780737f,  0.780258f,  0.779778f,  0.779297f,  0.778817f,  0.778335f,  0.777853f,  0.777371f,
	 0.776888f,  0.776405f,  0.775922f,  0.775438f,  0.774953f,  0.774468f,  0.773983f,  0.773497f,
	 0.773010f,  0.772524f,  0.772036f,  0.771549f,  0.771061f,  0.770572f,  0.770083f,  0.769593f,
	 0.769103f,  0.768613f,  0.768122f,  0.767631f,  0.767139f,  0.766647f,  0.766154f,  0.765661f,
	 0.765167f,  0.764673f,  0.764179f,  0.763684f,  0.763188f,  0.762693f,  0.762196f,  0.761700f,
	 0.761202f,  0.760705f,  0.760207f,  0.759708f,  0.759209f,  0.758710f,  0.758210f,  0.757710f,
	 0.757209f,  0.756708f,  0.756206f,  0.755704f,  0.755201f,  0.754698f,  0.754195f,  0.753691f,
	 0.753187f,  0.752682f,  0.752177f,  0.751671f,  0.751165f,  0.750659f,  0.750152f,  0.749644f,
	 0.749136f,  0.748628f,  0.748119f,  0.747610f,  0.747101f,  0.746591f,  0.746080f,  0.745569f,
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	 0.996820f,  0.996881f,  0.996941f,  0.997001f,  0.997060f,  0.997119f,  0.997176f,  0.997234f,
	 0.997290f,  0.997347f,  0.997402f,  0.997457f,  0.997511f,  0.997565f,  0.997618f,  0.997671f,
	 0.997723f,  0.997774f,  0.997825f,  0.997876f,  0.997925f,  0.997974f,  0.998023f,  0.998071f,
	 0.998118f,  0.998165f,  0.998211f,  0.998257f,  0.998302f,  0.998346f,  0.998390f,  0.998433f,
	 0.998476f,  0.998518f,  0.998559f,  0.998600f,  0.998640f,  0.998680f,  0.998719f,  0.998758f,
	 0.998795f,  0.998833f,  0.998870f,  0.998906f,  0.998941f,  0.998976f,  0.999011f,  0.999044f,
	 0.999078f,  0.999110f,  0.999142f,  0.999174f,  0.999205f,  0.999235f,  0.999265f,  0.999294f,
	 0.999322f,  0.999350f,  0.999378f,  0.999404f,  0.999431f,  0.999456f,  0.999481f,  0.999506f,
	 0.999529f,  0.999553f,  0.999575f,  0.999597f,  0.999619f,  0.999640f,  0.999660f,  0.999680f,
	 0.999699f,  0.999717f,  0.999735f,  0.999753f,  0.999769f,  0.999786f,  0.999801f,  0.999816f,
	 0.999831f,  0.999844f,  0.999858f,  0.999870f,  0.999882f,  0.999894f,  0.999905f,  0.999915f,
	 0.999925f,  0.999934f,  0.999942f,  0.999950f,  0.999958f,  0.999964f,  0.999971f,  0.999976f,
	 0.999981f,  0.999986f,  0.999989f,  0.999993f,  0.999995f,  0.999997f,  0.999999f,  1.000000
};

static const float cosTable16384[8192] = {
	 1.000000f,  1.000000f,  1.000000f,  0.999999f,  0.999999f,  0.999998f,  0.999997f,  0.999996f,
	 0.999995f,  0.999994f,  0.999993f,  0.999991f,  0.999989f,  0.999988f,  0.999986f,  0.999983f,
	 0.999981f,  0.999979f,  0.999976f,  0.999973f,  0.999971f,  0.999968f,  0.999964f,  0.999961f,
	 0.999958f,  0.999954f,  0.999950f,  0.999946f,  0.999942f,  0.999938f,  0.999934f,  0.999929f,
	 0.999925f,  0.999920f,  0.999915f,  0.999910f,  0.999905f,  0.999899f,  0.999894f,  0.999888f,
	 0.999882f,  0.999876f,  0.999870f,  0.999864f,  0.999858f,  0.999851f,  0.999844f,  0.999838f,
	 0.999831f,  0.999823f,  0.999816f,  0.999809f,  0.999801f,  0.999793f,  0.999786f,  0.999778f,
	 0.999769f,  0.999761f,  0.999753f,  0.999744f,  0.999735f,  0.999726f,  0.999717f,  0.999708f,
	 0.999699f,  0.999689f,  0.999680f,  0.999670f,  0.999660f,  0.999650f,  0.999640f,  0.999629f,
	 0.999619f,  0.999608f,  0.999597f,  0.999586f,  0.999575f,  0.999564f,  0.999553f,  0.999541f,
	 0.999529f,  0.999518f,  0.999506f,  0.999493f,  0.999481f,  0.999469f,  0.999456f,  0.999443f,
	 0.999431f,  0.999418f,  0.999404f,  0.999391f,  0.999378f,  0.999364f,  0.999350f,  0.999336f,
	 0.999322f,  0.999308f,  0.999294f,  0.999279f,  0.999265f,  0.999250f,  0.999235f,  0.999220f,
	 0.999205f,  0.999189f,  0.999174f,  0.999158f,  0.999142f,  0.999126f,  0.999110f,  0.999094f,
	 0.999078f,  0.999061f,  0.999044f,  0.999028f,  0.999011f,  0.998994f,  0.998976f,  0.998959f,
	 0.998941f,  0.998924f,  0.998906f,  0.998888f,  0.998870f,  0.998851f,  0.998833f,  0.998814f,
	 0.998795f,  0.998777f,  0.998758f,  0.998738f,  0.998719f,  0.998700f,  0.998680f,  0.998660f,
	 0.998640f,  0.998620f,  0.998600f,  0.998580f,  0.998559f,  0.998538f,  0.998518f,  0.998497f,
	 0.998476f,  0.998454f,  0.998433f,  0.998411f,  0.998390f,  0.998368f,  0.998346f,  0.998324f,
	 0.998302f,  0.998279f,  0.998257f,  0.998234f,  0.998211f,  0.998188f,  0.998165f,  0.998142f,
	 0.998118f,  0.998094f,  0.998071f,  0.998047f,  0.998023f,  0.997999f,  0.997974f,  0.997950f,
	 0.997925f,  0.997901f,  0.997876f,  0.997851f,  0.997825f,  0.997800f,  0.997774f,  0.997749f,
	 0.997723f,  0.997697f,  0.997671f,  0.997645f,  0.997618f,  0.997592f,  0.997565f,  0.997538f,
	 0.997511f,  0.997484f,  0.997457f,  0.997430f,  0.997402f,  0.997374f,  0.997347f,  0.997319f,
	 0.997290f,  0.997262f,  0.997234f,  0.997205f,  0.997176f,  0.997148f,  0.997119f,  0.997089f,
	 0.997060f,  0.997031f,  0.997001f,  0.996971f,  0.996941f,  0.996911f,  0.996881f,  0.996851f,
	 0.996820f,  0.996790f,  0.996759f,  0.996728f,  0.996697f,  0.996666f,  0.996634f,  0.996603f,
	 0.996571f,  0.996539f,  0.996507f,  0.996475f,  0.996443f,  0.996411f,  0.996378f,  0.996345f,
	 0.996313f,  0.996280f,  0.996247f,  0.996213f,  0.996180f,  0.996146f,  0.996113f,  0.996079f,
	 0.996045f,  0.996011f,  0.995976f,  0.995942f,  0.995907f,  0.995872f,  0.995838f,  0.995803f,
	 0.995767f,  0.995732f,  0.995697f,  0.995661f,  0.995625f,  0.995589f,  0.995553f,  0.995517f,
	 0.995481f,  0.995444f,  0.995408f,  0.995371f,  0.995334f,  0.995297f,  0.995260f,  0.995222f,
	 0.995185f,  0.995147f,  0.995109f,  0.995071f,  0.995033f,  0.994995f,  0.994957f,  0.994918f,
	 0.994879f,  0.994841f,  0.994802f,  0.994762f,  0.994723f,  0.994684f,  0.994644f,  0.994604f,
	 0.994565f,  0.994525f,  0.994484f,  0.994444f,  0.994404f,  0.994363f,  0.994322f,  0.994281f,
	 0.994240f,  0.994199f,  0.994158f,  0.994116f,  0.994075f,  0.994033f,  0.993991f,  0.993949f,
	 0.993907f,  0.993865f,  0.993822f,  0.993779f,  0.993737f,  0.993694f,  0.993651f,  0.993608f,
	 0.993564f,  0.993521f,  0.993477f,  0.993433f,  0.993389f,  0.993345f,  0.993301f,  0.993257f,
	 0.993212f,  0.993167f,  0.993122f,  0.993077f,  0.993032f,  0.992987f,  0.992942f,  0.992896f,
	 0.992850f,  0.992805f,  0.992759f,  0.992712f,  0.992666f,  0.992620f,  0.992573f,  0.992526f,
	 0.992480f,  0.992433f,  0.992385f,  0.992338f,  0.992291f,  0.992243f,  0.992195f,  0.992147f,
	 0.992099f,  0.992051f,  0.992003f,  0.991954f,  0.991906f,  0.991857f,  0.991808f,  0.991759f,
	 0.991710f,  0.991660f,  0.991611f,  0.991561f,  0.991511f,  0.991462f,  0.991411f,  0.991361f,
	 0.991311f,  0.991260f,  0.991210f,  0.991159f,  0.991108f,  0.991057f,  0.991006f,  0.990954f,
	 0.990903f,  0.990851f,  0.990799f,  0.990747f,  0.990695f,  0.990643f,  0.990590f,  0.990538f,
	 0.990485f,  0.990432f,  0.990379f,  0.990326f,  0.990273f,  0.990219f,  0.990166f,  0.990112f,
	 0.990058f,  0.990004f,  0.989950f,  0.989896f,  0.989841f,  0.989787f,  0.989732f,  0.989677f,
	 0.989622f,  0.989567f,  0.989511f,  0.989456f,  0.989400f,  0.989345f,  0.989289f,  0.989233f,
	 0.989177f,  0.989120f,  0.989064f,  0.989007f,  0.988950f,  0.988893f,  0.988836f,  0.988779f,
	 0.988722f,  0.988664f,  0.988607f,  0.988549f,  0.988491f,  0.988433f,  0.988374f,  0.988316f,
	 0.988258f,  0.988199f,  0.988140f,  0.988081f,  0.988022f,  0.987963f,  0.987903f,  0.987844f,
	 0.987784f,  0.987724f,  0.987664f,  0.987604f,  0.987544f,  0.987484f,  0.987423f,  0.987362f,
	 0.987301f,  0.987240f,  0.987179f,  0.987118f,  0.987057f,  0.986995f,  0.986933f,  0.986871f,
	 0.986809f,  0.986747f,  0.986685f,  0.986623f,  0.986560f,  0.986497f,  0.986434f,  0.986371f,
	 0.986308f,  0.986245f,  0.986181f,  0.986118f,  0.986054f,  0.985990f,  0.985926f,  0.985862f,
	 0.985798f,  0.985733f,  0.985668f,  0.985604f,  0.985539f,  0.985474f,  0.985408f,  0.985343f,
	 0.985278f,  0.985212f,  0.985146f,  0.985080f,  0.985014f,  0.984948f,  0.984882f,  0.984815f,
	 0.984748f,  0.984682f,  0.984615f,  0.984548f,  0.984480f,  0.984413f,  0.984346f,  0.984278f,
	 0.984210f,  0.984142f,  0.984074f,  0.984006f,  0.983937f,  0.983869f,  0.983800f,  0.983731f,
	 0.983662f,  0.983593f,  0.983524f,  0.983455f,  0.983385f,  0.983315f,  0.983246f,  0.983176f,
	 0.983105f,  0.983035f,  0.982965f,  0.982894f,  0.982824f,  0.982753f,  0.982682f,  0.982611f,
	 0.982539f,  0.982468f,  0.982396f,  0.982325f,  0.982253f,  0.982181f,  0.982109f,  0.982036f,
	 0.981964f,  0.981891f,  0.981819f,  0.981746f,  0.981673f,  0.981600f,  0.981526f,  0.981453f,
	 0.981379f,  0.981305f,  0.981232f,  0.981158f,  0.981083f,  0.981009f,  0.980935f,  0.980860f,
	 0.980785f,  0.980710f,  0.980635f,  0.980560f,  0.980485f,  0.980409f,  0.980334f,  0.980258f,
	 0.980182f,  0.980106f,  0.980030f,  0.979954f,  0.979877f,  0.979800f,  0.979724f,  0.979647f,
	 0.979570f,  0.979493f,  0.979415f,  0.979338f,  0.979260f,  0.979182f,  0.979104f,  0.979026f,
	 0.978948f,  0.978870f,  0.978791f,  0.978713f,  0.978634f,  0.978555f,  0.978476f,  0.978397f,
	 0.978317f,  0.978238f,  0.978158f,  0.978078f,  0.977998f,  0.977918f,  0.977838f,  0.977758f,
	 0.977677f,  0.977597f,  0.977516f,  0.977435f,  0.977354f,  0.977273f,  0.977191f,  0.977110f,
	 0.977028f,  0.976946f,  0.976864f,  0.976782f,  0.976700f,  0.976618f,  0.976535f,  0.976453f,
	 0.976370f,  0.976287f,  0.976204f,  0.976120f,  0.976037f,  0.975954f,  0.975870f,  0.975786f,
	 0.975702f,  0.975618f,  0.975534f,  0.975449f,  0.975365f,  0.975280f,  0.975195f,  0.975110f,
	 0.975025f,  0.974940f,  0.974855f,  0.974769f,  0.974684f,  0.974598f,  0.974512f,  0.974426f,
	 0.974339f,  0.974253f,  0.974166f,  0.974080f,  0.973993f,  0.973906f,  0.973819f,  0.973732f,
	 0.973644f,  0.973557f,  0.973469f,  0.973381f,  0.973293f,  0.973205f,  0.973117f,  0.973028f,
	 0.972940f,  0.972851f,  0.972762f,  0.972673f,  0.972584f,  0.972495f,  0.972406f,  0.972316f,
	 0.972227f,  0.972137f,  0.972047f,  0.971957f,  0.971866f,  0.971776f,  0.971685f,  0.971595f,
	 0.971504f,  0.971413f,  0.971322f,  0.971231f,  0.971139f,  0.971048f,  0.970956f,  0.970864f,
	 0.970772f,  0.970680f,  0.970588f,  0.970495f,  0.970403f,  0.970310f,  0.970217f,  0.970124f,
	 0.970031f,  0.969938f,  0.969845f,  0.969751f,  0.969657f,  0.969564f,  0.969470f,  0.969375f,
	 0.969281f,  0.969187f,  0.969092f,  0.968998f,  0.968903f,  0.968808f,  0.968713f,  0.968617f,
	 0.968522f,  0.968427f,  0.968331f,  0.968235f,  0.968139f,  0.968043f,  0.967947f,  0.967850f,
	 0.967754f,  0.967657f,  0.967560f,  0.967463f,  0.967366f,  0.967269f,  0.967172f,  0.967074f,
	 0.966976f,  0.966879f,  0.966781f,  0.966683f,  0.966584f,  0.966486f,  0.966387f,  0.966289f,
	 0.966190f,  0.966091f,  0.965992f,  0.965893f,  0.965793f,  0.965694f,  0.965594f,  0.965494f,
	 0.965394f,  0.965294f,  0.965194f,  0.965094f,  0.964993f,  0.964893f,  0.964792f,  0.964691f,
	 0.964590f,  0.964489f,  0.964387f,  0.964286f,  0.964184f,  0.964082f,  0.963980f,  0.963878f,
	 0.963776f,  0.963674f,  0.963571f,  0.963469f,  0.963366f,  0.963263f,  0.963160f,  0.963057f,
	 0.962953f,  0.962850f,  0.962746f,  0.962642f,  0.962538f,  0.962434f,  0.962330f,  0.962226f,
	 0.962121f,  0.962017f,  0.961912f,  0.961807f,  0.961702f,  0.961597f,  0.961492f,  0.961386f,
	 0.961280f,  0.961175f,  0.961069f,  0.960963f,  0.960857f,  0.960750f,  0.960644f,  0.960537f,
	 0.960431f,  0.960324f,  0.960217f,  0.960109f,  0.960002f,  0.959895f,  0.959787f,  0.959679f,
	 0.959572f,  0.959463f,  0.959355f,  0.959247f,  0.959139f,  0.959030f,  0.958921f,  0.958812f,
	 0.958703f,  0.958594f,  0.958485f,  0.958376f,  0.958266f,  0.958156f,  0.958046f,  0.957937f,
	 0.957826f,  0.957716f,  0.957606f,  0.957495f,  0.957385f,  0.957274f,  0.957163f,  0.957052f,
	 0.956940f,  0.956829f,  0.956717f,  0.956606f,  0.956494f,  0.956382f,  0.956270f,  0.956158f,
	 0.956045f,  0.955933f,  0.955820f,  0.955707f,  0.955594f,  0.955481f,  0.955368f,  0.955255f,
	 0.955141f,  0.955028f,  0.954914f,  0.954800f,  0.954686f,  0.954572f,  0.954457f,  0.954343f,
	 0.954228f,  0.954113f,  0.953998f,  0.953883f,  0.953768f,  0.953653f,  0.953537f,  0.953422f,
	 0.953306f,  0.953190f,  0.953074f,  0.952958f,  0.952842f,  0.952725f,  0.952609f,  0.952492f,
	 0.952375f,  0.952258f,  0.952141f,  0.952024f,  0.951906f,  0.951789f,  0.951671f,  0.951553f,
	 0.951435f,  0.951317f,  0.951199f,  0.951080f,  0.950962f,  0.950843f,  0.950724f,  0.950605f,
	 0.950486f,  0.950367f,  0.950247f,  0.950128f,  0.950008f,  0.949888f,  0.949768f,  0.949648f,
	 0.949528f,  0.949408f,  0.949287f,  0.949167f,  0.949046f,  0.948925f,  0.948804f,  0.948683f,
	 0.948561f,  0.948440f,  0.948318f,  0.948196f,  0.948075f,  0.947953f,  0.947830f,  0.947708f,
	 0.947586f,  0.947463f,  0.947340f,  0.947217f,  0.947094f,  0.946971f,  0.946848f,  0.946724f,
	 0.946601f,  0.946477f,  0.946353f,  0.946229f,  0.946105f,  0.945981f,  0.945857f,  0.945732f,
	 0.945607f,  0.945482f,  0.945358f,  0.945232f,  0.945107f,  0.944982f,  0.944856f,  0.944731f,
	 0.944605f,  0.944479f,  0.944353f,  0.944227f,  0.944100f,  0.943974f,  0.943847f,  0.943720f,
	 0.943593f,  0.943466f,  0.943339f,  0.943212f,  0.943084f,  0.942957f,  0.942829f,  0.942701f,
	 0.942573f,  0.942445f,  0.942317f,  0.942188f,  0.942060f,  0.941931f,  0.941802f,  0.941673f,
	 0.941544f,  0.941415f,  0.941285f,  0.941156f,  0.941026f,  0.940896f,  0.940766f,  0.940636f,
	 0.940506f,  0.940376f,  0.940245f,  0.940115f,  0.939984f,  0.939853f,  0.939722f,  0.939591f,
	 0.939459f,  0.939328f,  0.939196f,  0.939064f,  0.938932f,  0.938800f,  0.938668f,  0.938536f,
	 0.938404f,  0.938271f,  0.938138f,  0.938005f,  0.937872f,  0.937739f,  0.937606f,  0.937473f,
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	 0.998302f,  0.998324f,  0.998346f,  0.998368f,  0.998390f,  0.998411f,  0.998433f,  0.998454f,
	 0.998476f,  0.998497f,  0.998518f,  0.998538f,  0.998559f,  0.998580f,  0.998600f,  0.998620f,
	 0.998640f,  0.998660f,  0.998680f,  0.998700f,  0.998719f,  0.998738f,  0.998758f,  0.998777f,
	 0.998795f,  0.998814f,  0.998833f,  0.998851f,  0.998870f,  0.998888f,  0.998906f,  0.998924f,
	 0.998941f,  0.998959f,  0.998976f,  0.998994f,  0.999011f,  0.999028f,  0.999044f,  0.999061f,
	 0.999078f,  0.999094f,  0.999110f,  0.999126f,  0.999142f,  0.999158f,  0.999174f,  0.999189f,
	 0.999205f,  0.999220f,  0.999235f,  0.999250f,  0.999265f,  0.999279f,  0.999294f,  0.999308f,
	 0.999322f,  0.999336f,  0.999350f,  0.999364f,  0.999378f,  0.999391f,  0.999404f,  0.999418f,
	 0.999431f,  0.999443f,  0.999456f,  0.999469f,  0.999481f,  0.999493f,  0.999506f,  0.999518f,
	 0.999529f,  0.999541f,  0.999553f,  0.999564f,  0.999575f,  0.999586f,  0.999597f,  0.999608f,
	 0.999619f,  0.999629f,  0.999640f,  0.999650f,  0.999660f,  0.999670f,  0.999680f,  0.999689f,
	 0.999699f,  0.999708f,  0.999717f,  0.999726f,  0.999735f,  0.999744f,  0.999753f,  0.999761f,
	 0.999769f,  0.999778f,  0.999786f,  0.999793f,  0.999801f,  0.999809f,  0.999816f,  0.999823f,
	 0.999831f,  0.999838f,  0.999844f,  0.999851f,  0.999858f,  0.999864f,  0.999870f,  0.999876f,
	 0.999882f,  0.999888f,  0.999894f,  0.999899f,  0.999905f,  0.999910f,  0.999915f,  0.999920f,
	 0.999925f,  0.999929f,  0.999934f,  0.999938f,  0.999942f,  0.999946f,  0.999950f,  0.999954f,
	 0.999958f,  0.999961f,  0.999964f,  0.999968f,  0.999971f,  0.999973f,  0.999976f,  0.999979f,
	 0.999981f,  0.999983f,  0.999986f,  0.999988f,  0.999989f,  0.999991f,  0.999993f,  0.999994f,
	 0.999995f,  0.999996f,  0.999997f,  0.999998f,  0.999999f,  0.999999f,  1.000000f,  1.000000
};

static const float cosTable32768[16384] = {
	 1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  0.999999f,  0.999999f,
	 0.999999f,  0.999999f,  0.999998f,  0.999998f,  0.999997f,  0.999997f,  0.999996f,  0.999996f,
	 0.999995f,  0.999995f,  0.999994f,  0.999993f,  0.999993f,  0.999992f,  0.999991f,  0.999990f,
	 0.999989f,  0.999988f,  0.999988f,  0.999987f,  0.999986f,  0.999985f,  0.999983f,  0.999982f,
	 0.999981f,  0.999980f,  0.999979f,  0.999977f,  0.999976f,  0.999975f,  0.999973f,  0.999972f,
	 0.999971f,  0.999969f,  0.999968f,  0.999966f,  0.999964f,  0.999963f,  0.999961f,  0.999959f,
	 0.999958f,  0.999956f,  0.999954f,  0.999952f,  0.999950f,  0.999948f,  0.999946f,  0.999944f,
	 0.999942f,  0.999940f,  0.999938f,  0.999936f,  0.999934f,  0.999932f,  0.999929f,  0.999927f,
	 0.999925f,  0.999922f,  0.999920f,  0.999917f,  0.999915f,  0.999913f,  0.999910f,  0.999907f,
	 0.999905f,  0.999902f,  0.999899f,  0.999897f,  0.999894f,  0.999891f,  0.999888f,  0.999885f,
	 0.999882f,  0.999879f,  0.999876f,  0.999873f,  0.999870f,  0.999867f,  0.999864f,  0.999861f,
	 0.999858f,  0.999854f,  0.999851f,  0.999848f,  0.999844f,  0.999841f,  0.999838f,  0.999834f,
	 0.999831f,  0.999827f,  0.999823f,  0.999820f,  0.999816f,  0.999812f,  0.999809f,  0.999805f,
	 0.999801f,  0.999797f,  0.999793f,  0.999790f,  0.999786f,  0.999782f,  0.999778f,  0.999774f,
	 0.999769f,  0.999765f,  0.999761f,  0.999757f,  0.999753f,  0.999748f,  0.999744f,  0.999740f,
	 0.999735f,  0.999731f,  0.999726f,  0.999722f,  0.999717f,  0.999713f,  0.999708f,  0.999704f,
	 0.999699f,  0.999694f,  0.999689f,  0.999685f,  0.999680f,  0.999675f,  0.999670f,  0.999665f,
	 0.999660f,  0.999655f,  0.999650f,  0.999645f,  0.999640f,  0.999635f,  0.999629f,  0.999624f,
	 0.999619f,  0.999614f,  0.999608f,  0.999603f,  0.999597f,  0.999592f,  0.999586f,  0.999581f,
	 0.999575f,  0.999570f,  0.999564f,  0.999558f,  0.999553f,  0.999547f,  0.999541f,  0.999535f,
	 0.999529f,  0.999524f,  0.999518f,  0.999512f,  0.999506f,  0.999500f,  0.999493f,  0.999487f,
	 0.999481f,  0.999475f,  0.999469f,  0.999462f,  0.999456f,  0.999450f,  0.999443f,  0.999437f,
	 0.999431f,  0.999424f,  0.999418f,  0.999411f,  0.999404f,  0.999398f,  0.999391f,  0.999384f,
	 0.999378f,  0.999371f,  0.999364f,  0.999357f,  0.999350f,  0.999343f,  0.999336f,  0.999329f,
	 0.999322f,  0.999315f,  0.999308f,  0.999301f,  0.999294f,  0.999287f,  0.999279f,  0.999272f,
	 0.999265f,  0.999257f,  0.999250f,  0.999243f,  0.999235f,  0.999228f,  0.999220f,  0.999212f,
	 0.999205f,  0.999197f,  0.999189f,  0.999182f,  0.999174f,  0.999166f,  0.999158f,  0.999150f,
	 0.999142f,  0.999134f,  0.999126f,  0.999118f,  0.999110f,  0.999102f,  0.999094f,  0.999086f,
	 0.999078f,  0.999069f,  0.999061f,  0.999053f,  0.999044f,  0.999036f,  0.999028f,  0.999019f,
	 0.999011f,  0.999002f,  0.998994f,  0.998985f,  0.998976f,  0.998968f,  0.998959f,  0.998950f,
	 0.998941f,  0.998932f,  0.998924f,  0.998915f,  0.998906f,  0.998897f,  0.998888f,  0.998879f,
	 0.998870f,  0.998860f,  0.998851f,  0.998842f,  0.998833f,  0.998824f,  0.998814f,  0.998805f,
	 0.998795f,  0.998786f,  0.998777f,  0.998767f,  0.998758f,  0.998748f,  0.998738f,  0.998729f,
	 0.998719f,  0.998709f,  0.998700f,  0.998690f,  0.998680f,  0.998670f,  0.998660f,  0.998650f,
	 0.998640f,  0.998630f,  0.998620f,  0.998610f,  0.998600f,  0.998590f,  0.998580f,  0.998569f,
	 0.998559f,  0.998549f,  0.998538f,  0.998528f,  0.998518f,  0.998507f,  0.998497f,  0.998486f,
	 0.998476f,  0.998465f,  0.998454f,  0.998444f,  0.998433f,  0.998422f,  0.998411f,  0.998401f,
	 0.998390f,  0.998379f,  0.998368f,  0.998357f,  0.998346f,  0.998335f,  0.998324f,  0.998313f,
	 0.998302f,  0.998290f,  0.998279f,  0.998268f,  0.998257f,  0.998245f,  0.998234f,  0.998222f,
	 0.998211f,  0.998200f,  0.998188f,  0.998176f,  0.998165f,  0.998153f,  0.998142f,  0.998130f,
	 0.998118f,  0.998106f,  0.998094f,  0.998083f,  0.998071f,  0.998059f,  0.998047f,  0.998035f,
	 0.998023f,  0.998011f,  0.997999f,  0.997987f,  0.997974f,  0.997962f,  0.997950f,  0.997938f,
	 0.997925f,  0.997913f,  0.997901f,  0.997888f,  0.997876f,  0.997863f,  0.997851f,  0.997838f,
	 0.997825f,  0.997813f,  0.997800f,  0.997787f,  0.997774f,  0.997762f,  0.997749f,  0.997736f,
	 0.997723f,  0.997710f,  0.997697f,  0.997684f,  0.997671f,  0.997658f,  0.997645f,  0.997632f,
	 0.997618f,  0.997605f,  0.997592f,  0.997579f,  0.997565f,  0.997552f,  0.997538f,  0.997525f,
	 0.997511f,  0.997498f,  0.997484f,  0.997471f,  0.997457f,  0.997443f,  0.997430f,  0.997416f,
	 0.997402f,  0.997388f,  0.997374f,  0.997361f,  0.997347f,  0.997333f,  0.997319f,  0.997305f,
	 0.997290f,  0.997276f,  0.997262f,  0.997248f,  0.997234f,  0.997219f,  0.997205f,  0.997191f,
	 0.997176f,  0.997162f,  0.997148f,  0.997133f,  0.997119f,  0.997104f,  0.997089f,  0.997075f,
	 0.997060f,  0.997045f,  0.997031f,  0.997016f,  0.997001f,  0.996986f,  0.996971f,  0.996956f,
	 0.996941f,  0.996926f,  0.996911f,  0.996896f,  0.996881f,  0.996866f,  0.996851f,  0.996836f,
	 0.996820f,  0.996805f,  0.996790f,  0.996774f,  0.996759f,  0.996743f,  0.996728f,  0.996712f,
	 0.996697f,  0.996681f,  0.996666f,  0.996650f,  0.996634f,  0.996619f,  0.996603f,  0.996587f,
	 0.996571f,  0.996555f,  0.996539f,  0.996523f,  0.996507f,  0.996491f,  0.996475f,  0.996459f,
	 0.996443f,  0.996427f,  0.996411f,  0.996394f,  0.996378f,  0.996362f,  0.996345f,  0.996329f,
	 0.996313f,  0.996296f,  0.996280f,  0.996263f,  0.996247f,  0.996230f,  0.996213f,  0.996197f,
	 0.996180f,  0.996163f,  0.996146f,  0.996129f,  0.996113f,  0.996096f,  0.996079f,  0.996062f,
	 0.996045f,  0.996028f,  0.996011f,  0.995993f,  0.995976f,  0.995959f,  0.995942f,  0.995925f,
	 0.995907f,  0.995890f,  0.995872f,  0.995855f,  0.995838f,  0.995820f,  0.995803f,  0.995785f,
	 0.995767f,  0.995750f,  0.995732f,  0.995714f,  0.995697f,  0.995679f,  0.995661f,  0.995643f,
	 0.995625f,  0.995607f,  0.995589f,  0.995571f,  0.995553f,  0.995535f,  0.995517f,  0.995499f,
	 0.995481f,  0.995463f,  0.995444f,  0.995426f,  0.995408f,  0.995389f,  0.995371f,  0.995352f,
	 0.995334f,  0.995315f,  0.995297f,  0.995278f,  0.995260f,  0.995241f,  0.995222f,  0.995203f,
	 0.995185f,  0.995166f,  0.995147f,  0.995128f,  0.995109f,  0.995090f,  0.995071f,  0.995052f,
	 0.995033f,  0.995014f,  0.994995f,  0.994976f,  0.994957f,  0.994937f,  0.994918f,  0.994899f,
	 0.994879f,  0.994860f,  0.994841f,  0.994821f,  0.994802f,  0.994782f,  0.994762f,  0.994743f,
	 0.994723f,  0.994703f,  0.994684f,  0.994664f,  0.994644f,  0.994624f,  0.994604f,  0.994585f,
	 0.994565f,  0.994545f,  0.994525f,  0.994505f,  0.994484f,  0.994464f,  0.994444f,  0.994424f,
	 0.994404f,  0.994383f,  0.994363f,  0.994343f,  0.994322f,  0.994302f,  0.994281f,  0.994261f,
	 0.994240f,  0.994220f,  0.994199f,  0.994179f,  0.994158f,  0.994137f,  0.994116f,  0.994096f,
	 0.994075f,  0.994054f,  0.994033f,  0.994012f,  0.993991f,  0.993970f,  0.993949f,  0.993928f,
	 0.993907f,  0.993886f,  0.993865f,  0.993843f,  0.993822f,  0.993801f,  0.993779f,  0.993758f,
	 0.993737f,  0.993715f,  0.993694f,  0.993672f,  0.993651f,  0.993629f,  0.993608f,  0.993586f,
	 0.993564f,  0.993542f,  0.993521f,  0.993499f,  0.993477f,  0.993455f,  0.993433f,  0.993411f,
	 0.993389f,  0.993367f,  0.993345f,  0.993323f,  0.993301f,  0.993279f,  0.993257f,  0.993234f,
	 0.993212f,  0.993190f,  0.993167f,  0.993145f,  0.993122f,  0.993100f,  0.993077f,  0.993055f,
	 0.993032f,  0.993010f,  0.992987f,  0.992964f,  0.992942f,  0.992919f,  0.992896f,  0.992873f,
	 0.992850f,  0.992828f,  0.992805f,  0.992782f,  0.992759f,  0.992736f,  0.992712f,  0.992689f,
	 0.992666f,  0.992643f,  0.992620f,  0.992596f,  0.992573f,  0.992550f,  0.992526f,  0.992503f,
	 0.992480f,  0.992456f,  0.992433f,  0.992409f,  0.992385f,  0.992362f,  0.992338f,  0.992314f,
	 0.992291f,  0.992267f,  0.992243f,  0.992219f,  0.992195f,  0.992171f,  0.992147f,  0.992123f,
	 0.992099f,  0.992075f,  0.992051f,  0.992027f,  0.992003f,  0.991979f,  0.991954f,  0.991930f,
	 0.991906f,  0.991881f,  0.991857f,  0.991832f,  0.991808f,  0.991783f,  0.991759f,  0.991734f,
	 0.991710f,  0.991685f,  0.991660f,  0.991636f,  0.991611f,  0.991586f,  0.991561f,  0.991536f,
	 0.991511f,  0.991487f,  0.991462f,  0.991437f,  0.991411f,  0.991386f,  0.991361f,  0.991336f,
	 0.991311f,  0.991286f,  0.991260f,  0.991235f,  0.991210f,  0.991184f,  0.991159f,  0.991133f,
	 0.991108f,  0.991082f,  0.991057f,  0.991031f,  0.991006f,  0.990980f,  0.990954f,  0.990928f,
	 0.990903f,  0.990877f,  0.990851f,  0.990825f,  0.990799f,  0.990773f,  0.990747f,  0.990721f,
	 0.990695f,  0.990669f,  0.990643f,  0.990617f,  0.990590f,  0.990564f,  0.990538f,  0.990511f,
	 0.990485f,  0.990459f,  0.990432f,  0.990406f,  0.990379f,  0.990353f,  0.990326f,  0.990299f,
	 0.990273f,  0.990246f,  0.990219f,  0.990193f,  0.990166f,  0.990139f,  0.990112f,  0.990085f,
	 0.990058f,  0.990031f,  0.990004f,  0.989977f,  0.989950f,  0.989923f,  0.989896f,  0.989869f,
	 0.989841f,  0.989814f,  0.989787f,  0.989759f,  0.989732f,  0.989704f,  0.989677f,  0.989650f,
	 0.989622f,  0.989594f,  0.989567f,  0.989539f,  0.989511f,  0.989484f,  0.989456f,  0.989428f,
	 0.989400f,  0.989373f,  0.989345f,  0.989317f,  0.989289f,  0.989261f,  0.989233f,  0.989205f,
	 0.989177f,  0.989148f,  0.989120f,  0.989092f,  0.989064f,  0.989035f,  0.989007f,  0.988979f,
	 0.988950f,  0.988922f,  0.988893f,  0.988865f,  0.988836f,  0.988808f,  0.988779f,  0.988750f,
	 0.988722f,  0.988693f,  0.988664f,  0.988635f,  0.988607f,  0.988578f,  0.988549f,  0.988520f,
	 0.988491f,  0.988462f,  0.988433f,  0.988404f,  0.988374f,  0.988345f,  0.988316f,  0.988287f,
	 0.988258f,  0.988228f,  0.988199f,  0.988169f,  0.988140f,  0.988111f,  0.988081f,  0.988052f,
	 0.988022f,  0.987992f,  0.987963f,  0.987933f,  0.987903f,  0.987874f,  0.987844f,  0.987814f,
	 0.987784f,  0.987754f,  0.987724f,  0.987694f,  0.987664f,  0.987634f,  0.987604f,  0.987574f,
	 0.987544f,  0.987514f,  0.987484f,  0.987453f,  0.987423f,  0.987393f,  0.987362f,  0.987332f,
	 0.987301f,  0.987271f,  0.987240f,  0.987210f,  0.987179f,  0.987149f,  0.987118f,  0.987087f,
	 0.987057f,  0.987026f,  0.986995f,  0.986964f,  0.986933f,  0.986902f,  0.986871f,  0.986840f,
	 0.986809f,  0.986778f,  0.986747f,  0.986716f,  0.986685f,  0.986654f,  0.986623f,  0.986591f,
	 0.986560f,  0.986529f,  0.986497f,  0.986466f,  0.986434f,  0.986403f,  0.986371f,  0.986340f,
	 0.986308f,  0.986276f,  0.986245f,  0.986213f,  0.986181f,  0.986150f,  0.986118f,  0.986086f,
	 0.986054f,  0.986022f,  0.985990f,  0.985958f,  0.985926f,  0.985894f,  0.985862f,  0.985830f,
	 0.985798f,  0.985765f,  0.985733f,  0.985701f,  0.985668f,  0.985636f,  0.985604f,  0.985571f,
	 0.985539f,  0.985506f,  0.985474f,  0.985441f,  0.985408f,  0.985376f,  0.985343f,  0.985310f,
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	 0.998795f,  0.998805f,  0.998814f,  0.998824f,  0.998833f,  0.998842f,  0.998851f,  0.998860f,
	 0.998870f,  0.998879f,  0.998888f,  0.998897f,  0.998906f,  0.998915f,  0.998924f,  0.998932f,
	 0.998941f,  0.998950f,  0.998959f,  0.998968f,  0.998976f,  0.998985f,  0.998994f,  0.999002f,
	 0.999011f,  0.999019f,  0.999028f,  0.999036f,  0.999044f,  0.999053f,  0.999061f,  0.999069f,
	 0.999078f,  0.999086f,  0.999094f,  0.999102f,  0.999110f,  0.999118f,  0.999126f,  0.999134f,
	 0.999142f,  0.999150f,  0.999158f,  0.999166f,  0.999174f,  0.999182f,  0.999189f,  0.999197f,
	 0.999205f,  0.999212f,  0.999220f,  0.999228f,  0.999235f,  0.999243f,  0.999250f,  0.999257f,
	 0.999265f,  0.999272f,  0.999279f,  0.999287f,  0.999294f,  0.999301f,  0.999308f,  0.999315f,
	 0.999322f,  0.999329f,  0.999336f,  0.999343f,  0.999350f,  0.999357f,  0.999364f,  0.999371f,
	 0.999378f,  0.999384f,  0.999391f,  0.999398f,  0.999404f,  0.999411f,  0.999418f,  0.999424f,
	 0.999431f,  0.999437f,  0.999443f,  0.999450f,  0.999456f,  0.999462f,  0.999469f,  0.999475f,
	 0.999481f,  0.999487f,  0.999493f,  0.999500f,  0.999506f,  0.999512f,  0.999518f,  0.999524f,
	 0.999529f,  0.999535f,  0.999541f,  0.999547f,  0.999553f,  0.999558f,  0.999564f,  0.999570f,
	 0.999575f,  0.999581f,  0.999586f,  0.999592f,  0.999597f,  0.999603f,  0.999608f,  0.999614f,
	 0.999619f,  0.999624f,  0.999629f,  0.999635f,  0.999640f,  0.999645f,  0.999650f,  0.999655f,
	 0.999660f,  0.999665f,  0.999670f,  0.999675f,  0.999680f,  0.999685f,  0.999689f,  0.999694f,
	 0.999699f,  0.999704f,  0.999708f,  0.999713f,  0.999717f,  0.999722f,  0.999726f,  0.999731f,
	 0.999735f,  0.999740f,  0.999744f,  0.999748f,  0.999753f,  0.999757f,  0.999761f,  0.999765f,
	 0.999769f,  0.999774f,  0.999778f,  0.999782f,  0.999786f,  0.999790f,  0.999793f,  0.999797f,
	 0.999801f,  0.999805f,  0.999809f,  0.999812f,  0.999816f,  0.999820f,  0.999823f,  0.999827f,
	 0.999831f,  0.999834f,  0.999838f,  0.999841f,  0.999844f,  0.999848f,  0.999851f,  0.999854f,
	 0.999858f,  0.999861f,  0.999864f,  0.999867f,  0.999870f,  0.999873f,  0.999876f,  0.999879f,
	 0.999882f,  0.999885f,  0.999888f,  0.999891f,  0.999894f,  0.999897f,  0.999899f,  0.999902f,
	 0.999905f,  0.999907f,  0.999910f,  0.999913f,  0.999915f,  0.999917f,  0.999920f,  0.999922f,
	 0.999925f,  0.999927f,  0.999929f,  0.999932f,  0.999934f,  0.999936f,  0.999938f,  0.999940f,
	 0.999942f,  0.999944f,  0.999946f,  0.999948f,  0.999950f,  0.999952f,  0.999954f,  0.999956f,
	 0.999958f,  0.999959f,  0.999961f,  0.999963f,  0.999964f,  0.999966f,  0.999968f,  0.999969f,
	 0.999971f,  0.999972f,  0.999973f,  0.999975f,  0.999976f,  0.999977f,  0.999979f,  0.999980f,
	 0.999981f,  0.999982f,  0.999983f,  0.999985f,  0.999986f,  0.999987f,  0.999988f,  0.999988f,
	 0.999989f,  0.999990f,  0.999991f,  0.999992f,  0.999993f,  0.999993f,  0.999994f,  0.999995f,
	 0.999995f,  0.999996f,  0.999996f,  0.999997f,  0.999997f,  0.999998f,  0.999998f,  0.999999f,
	 0.999999f,  0.999999f,  0.999999f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f
};

static const float cosTable65536[32768] = {
	 1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,
	 1.000000f,  1.000000f,  1.000000f,  0.999999f,  0.999999f,  0.999999f,  0.999999f,  0.999999f,
	 0.999999f,  0.999999f,  0.999999f,  0.999998f,  0.999998f,  0.999998f,  0.999998f,  0.999998f,
	 0.999997f,  0.999997f,  0.999997f,  0.999997f,  0.999996f,  0.999996f,  0.999996f,  0.999996f,
	 0.999995f,  0.999995f,  0.999995f,  0.999994f,  0.999994f,  0.999994f,  0.999993f,  0.999993f,
	 0.999993f,  0.999992f,  0.999992f,  0.999991f,  0.999991f,  0.999991f,  0.999990f,  0.999990f,
	 0.999989f,  0.999989f,  0.999988f,  0.999988f,  0.999988f,  0.999987f,  0.999987f,  0.999986f,
	 0.999986f,  0.999985f,  0.999985f,  0.999984f,  0.999983f,  0.999983f,  0.999982f,  0.999982f,
	 0.999981f,  0.999981f,  0.999980f,  0.999979f,  0.999979f,  0.999978f,  0.999977f,  0.999977f,
	 0.999976f,  0.999976f,  0.999975f,  0.999974f,  0.999973f,  0.999973f,  0.999972f,  0.999971f,
	 0.999971f,  0.999970f,  0.999969f,  0.999968f,  0.999968f,  0.999967f,  0.999966f,  0.999965f,
	 0.999964f,  0.999964f,  0.999963f,  0.999962f,  0.999961f,  0.999960f,  0.999959f,  0.999959f,
	 0.999958f,  0.999957f,  0.999956f,  0.999955f,  0.999954f,  0.999953f,  0.999952f,  0.999951f,
	 0.999950f,  0.999949f,  0.999948f,  0.999947f,  0.999946f,  0.999945f,  0.999944f,  0.999943f,
	 0.999942f,  0.999941f,  0.999940f,  0.999939f,  0.999938f,  0.999937f,  0.999936f,  0.999935f,
	 0.999934f,  0.999933f,  0.999932f,  0.999930f,  0.999929f,  0.999928f,  0.999927f,  0.999926f,
	 0.999925f,  0.999924f,  0.999922f,  0.999921f,  0.999920f,  0.999919f,  0.999917f,  0.999916f,
	 0.999915f,  0.999914f,  0.999913f,  0.999911f,  0.999910f,  0.999909f,  0.999907f,  0.999906f,
	 0.999905f,  0.999903f,  0.999902f,  0.999901f,  0.999899f,  0.999898f,  0.999897f,  0.999895f,
	 0.999894f,  0.999892f,  0.999891f,  0.999890f,  0.999888f,  0.999887f,  0.999885f,  0.999884f,
	 0.999882f,  0.999881f,  0.999879f,  0.999878f,  0.999876f,  0.999875f,  0.999873f,  0.999872f,
	 0.999870f,  0.999869f,  0.999867f,  0.999866f,  0.999864f,  0.999862f,  0.999861f,  0.999859f,
	 0.999858f,  0.999856f,  0.999854f,  0.999853f,  0.999851f,  0.999849f,  0.999848f,  0.999846f,
	 0.999844f,  0.999843f,  0.999841f,  0.999839f,  0.999838f,  0.999836f,  0.999834f,  0.999832f,
	 0.999831f,  0.999829f,  0.999827f,  0.999825f,  0.999823f,  0.999822f,  0.999820f,  0.999818f,
	 0.999816f,  0.999814f,  0.999812f,  0.999811f,  0.999809f,  0.999807f,  0.999805f,  0.999803f,
	 0.999801f,  0.999799f,  0.999797f,  0.999795f,  0.999793f,  0.999792f,  0.999790f,  0.999788f,
	 0.999786f,  0.999784f,  0.999782f,  0.999780f,  0.999778f,  0.999776f,  0.999774f,  0.999771f,
	 0.999769f,  0.999767f,  0.999765f,  0.999763f,  0.999761f,  0.999759f,  0.999757f,  0.999755f,
	 0.999753f,  0.999750f,  0.999748f,  0.999746f,  0.999744f,  0.999742f,  0.999740f,  0.999738f,
	 0.999735f,  0.999733f,  0.999731f,  0.999729f,  0.999726f,  0.999724f,  0.999722f,  0.999720f,
	 0.999717f,  0.999715f,  0.999713f,  0.999710f,  0.999708f,  0.999706f,  0.999704f,  0.999701f,
	 0.999699f,  0.999696f,  0.999694f,  0.999692f,  0.999689f,  0.999687f,  0.999685f,  0.999682f,
	 0.999680f,  0.999677f,  0.999675f,  0.999672f,  0.999670f,  0.999667f,  0.999665f,  0.999663f,
	 0.999660f,  0.999658f,  0.999655f,  0.999652f,  0.999650f,  0.999647f,  0.999645f,  0.999642f,
	 0.999640f,  0.999637f,  0.999635f,  0.999632f,  0.999629f,  0.999627f,  0.999624f,  0.999621f,
	 0.999619f,  0.999616f,  0.999614f,  0.999611f,  0.999608f,  0.999605f,  0.999603f,  0.999600f,
	 0.999597f,  0.999595f,  0.999592f,  0.999589f,  0.999586f,  0.999584f,  0.999581f,  0.999578f,
	 0.999575f,  0.999573f,  0.999570f,  0.999567f,  0.999564f,  0.999561f,  0.999558f,  0.999556f,
	 0.999553f,  0.999550f,  0.999547f,  0.999544f,  0.999541f,  0.999538f,  0.999535f,  0.999532f,
	 0.999529f,  0.999527f,  0.999524f,  0.999521f,  0.999518f,  0.999515f,  0.999512f,  0.999509f,
	 0.999506f,  0.999503f,  0.999500f,  0.999497f,  0.999493f,  0.999490f,  0.999487f,  0.999484f,
	 0.999481f,  0.999478f,  0.999475f,  0.999472f,  0.999469f,  0.999466f,  0.999462f,  0.999459f,
	 0.999456f,  0.999453f,  0.999450f,  0.999447f,  0.999443f,  0.999440f,  0.999437f,  0.999434f,
	 0.999431f,  0.999427f,  0.999424f,  0.999421f,  0.999418f,  0.999414f,  0.999411f,  0.999408f,
	 0.999404f,  0.999401f,  0.999398f,  0.999394f,  0.999391f,  0.999388f,  0.999384f,  0.999381f,
	 0.999378f,  0.999374f,  0.999371f,  0.999367f,  0.999364f,  0.999361f,  0.999357f,  0.999354f,
	 0.999350f,  0.999347f,  0.999343f,  0.999340f,  0.999336f,  0.999333f,  0.999329f,  0.999326f,
	 0.999322f,  0.999319f,  0.999315f,  0.999312f,  0.999308f,  0.999305f,  0.999301f,  0.999297f,
	 0.999294f,  0.999290f,  0.999287f,  0.999283f,  0.999279f,  0.999276f,  0.999272f,  0.999268f,
	 0.999265f,  0.999261f,  0.999257f,  0.999254f,  0.999250f,  0.999246f,  0.999243f,  0.999239f,
	 0.999235f,  0.999231f,  0.999228f,  0.999224f,  0.999220f,  0.999216f,  0.999212f,  0.999209f,
	 0.999205f,  0.999201f,  0.999197f,  0.999193f,  0.999189f,  0.999186f,  0.999182f,  0.999178f,
	 0.999174f,  0.999170f,  0.999166f,  0.999162f,  0.999158f,  0.999154f,  0.999150f,  0.999146f,
	 0.999142f,  0.999138f,  0.999134f,  0.999130f,  0.999126f,  0.999122f,  0.999118f,  0.999114f,
	 0.999110f,  0.999106f,  0.999102f,  0.999098f,  0.999094f,  0.999090f,  0.999086f,  0.999082f,
	 0.999078f,  0.999074f,  0.999069f,  0.999065f,  0.999061f,  0.999057f,  0.999053f,  0.999049f,
	 0.999044f,  0.999040f,  0.999036f,  0.999032f,  0.999028f,  0.999023f,  0.999019f,  0.999015f,
	 0.999011f,  0.999006f,  0.999002f,  0.998998f,  0.998994f,  0.998989f,  0.998985f,  0.998981f,
	 0.998976f,  0.998972f,  0.998968f,  0.998963f,  0.998959f,  0.998954f,  0.998950f,  0.998946f,
	 0.998941f,  0.998937f,  0.998932f,  0.998928f,  0.998924f,  0.998919f,  0.998915f,  0.998910f,
	 0.998906f,  0.998901f,  0.998897f,  0.998892f,  0.998888f,  0.998883f,  0.998879f,  0.998874f,
	 0.998870f,  0.998865f,  0.998860f,  0.998856f,  0.998851f,  0.998847f,  0.998842f,  0.998837f,
	 0.998833f,  0.998828f,  0.998824f,  0.998819f,  0.998814f,  0.998810f,  0.998805f,  0.998800f,
	 0.998795f,  0.998791f,  0.998786f,  0.998781f,  0.998777f,  0.998772f,  0.998767f,  0.998762f,
	 0.998758f,  0.998753f,  0.998748f,  0.998743f,  0.998738f,  0.998734f,  0.998729f,  0.998724f,
	 0.998719f,  0.998714f,  0.998709f,  0.998704f,  0.998700f,  0.998695f,  0.998690f,  0.998685f,
	 0.998680f,  0.998675f,  0.998670f,  0.998665f,  0.998660f,  0.998655f,  0.998650f,  0.998645f,
	 0.998640f,  0.998635f,  0.998630f,  0.998625f,  0.998620f,  0.998615f,  0.998610f,  0.998605f,
	 0.998600f,  0.998595f,  0.998590f,  0.998585f,  0.998580f,  0.998574f,  0.998569f,  0.998564f,
	 0.998559f,  0.998554f,  0.998549f,  0.998544f,  0.998538f,  0.998533f,  0.998528f,  0.998523f,
	 0.998518f,  0.998512f,  0.998507f,  0.998502f,  0.998497f,  0.998491f,  0.998486f,  0.998481f,
	 0.998476f,  0.998470f,  0.998465f,  0.998460f,  0.998454f,  0.998449f,  0.998444f,  0.998438f,
	 0.998433f,  0.998428f,  0.998422f,  0.998417f,  0.998411f,  0.998406f,  0.998401f,  0.998395f,
	 0.998390f,  0.998384f,  0.998379f,  0.998373f,  0.998368f,  0.998362f,  0.998357f,  0.998351f,
	 0.998346f,  0.998340f,  0.998335f,  0.998329f,  0.998324f,  0.998318f,  0.998313f,  0.998307f,
	 0.998302f,  0.998296f,  0.998290f,  0.998285f,  0.998279f,  0.998273f,  0.998268f,  0.998262f,
	 0.998257f,  0.998251f,  0.998245f,  0.998240f,  0.998234f,  0.998228f,  0.998222f,  0.998217f,
	 0.998211f,  0.998205f,  0.998200f,  0.998194f,  0.998188f,  0.998182f,  0.998176f,  0.998171f,
	 0.998165f,  0.998159f,  0.998153f,  0.998147f,  0.998142f,  0.998136f,  0.998130f,  0.998124f,
	 0.998118f,  0.998112f,  0.998106f,  0.998100f,  0.998094f,  0.998089f,  0.998083f,  0.998077f,
	 0.998071f,  0.998065f,  0.998059f,  0.998053f,  0.998047f,  0.998041f,  0.998035f,  0.998029f,
	 0.998023f,  0.998017f,  0.998011f,  0.998005f,  0.997999f,  0.997993f,  0.997987f,  0.997980f,
	 0.997974f,  0.997968f,  0.997962f,  0.997956f,  0.997950f,  0.997944f,  0.997938f,  0.997931f,
	 0.997925f,  0.997919f,  0.997913f,  0.997907f,  0.997901f,  0.997894f,  0.997888f,  0.997882f,
	 0.997876f,  0.997869f,  0.997863f,  0.997857f,  0.997851f,  0.997844f,  0.997838f,  0.997832f,
	 0.997825f,  0.997819f,  0.997813f,  0.997806f,  0.997800f,  0.997794f,  0.997787f,  0.997781f,
	 0.997774f,  0.997768f,  0.997762f,  0.997755f,  0.997749f,  0.997742f,  0.997736f,  0.997730f,
	 0.997723f,  0.997717f,  0.997710f,  0.997704f,  0.997697f,  0.997691f,  0.997684f,  0.997678f,
	 0.997671f,  0.997665f,  0.997658f,  0.997651f,  0.997645f,  0.997638f,  0.997632f,  0.997625f,
	 0.997618f,  0.997612f,  0.997605f,  0.997599f,  0.997592f,  0.997585f,  0.997579f,  0.997572f,
	 0.997565f,  0.997559f,  0.997552f,  0.997545f,  0.997538f,  0.997532f,  0.997525f,  0.997518f,
	 0.997511f,  0.997505f,  0.997498f,  0.997491f,  0.997484f,  0.997478f,  0.997471f,  0.997464f,
	 0.997457f,  0.997450f,  0.997443f,  0.997437f,  0.997430f,  0.997423f,  0.997416f,  0.997409f,
	 0.997402f,  0.997395f,  0.997388f,  0.997381f,  0.997374f,  0.997368f,  0.997361f,  0.997354f,
	 0.997347f,  0.997340f,  0.997333f,  0.997326f,  0.997319f,  0.997312f,  0.997305f,  0.997298f,
	 0.997290f,  0.997283f,  0.997276f,  0.997269f,  0.997262f,  0.997255f,  0.997248f,  0.997241f,
	 0.997234f,  0.997227f,  0.997219f,  0.997212f,  0.997205f,  0.997198f,  0.997191f,  0.997184f,
	 0.997176f,  0.997169f,  0.997162f,  0.997155f,  0.997148f,  0.997140f,  0.997133f,  0.997126f,
	 0.997119f,  0.997111f,  0.997104f,  0.997097f,  0.997089f,  0.997082f,  0.997075f,  0.997067f,
	 0.997060f,  0.997053f,  0.997045f,  0.997038f,  0.997031f,  0.997023f,  0.997016f,  0.997008f,
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	 0.999011f,  0.999015f,  0.999019f,  0.999023f,  0.999028f,  0.999032f,  0.999036f,  0.999040f,
	 0.999044f,  0.999049f,  0.999053f,  0.999057f,  0.999061f,  0.999065f,  0.999069f,  0.999074f,
	 0.999078f,  0.999082f,  0.999086f,  0.999090f,  0.999094f,  0.999098f,  0.999102f,  0.999106f,
	 0.999110f,  0.999114f,  0.999118f,  0.999122f,  0.999126f,  0.999130f,  0.999134f,  0.999138f,
	 0.999142f,  0.999146f,  0.999150f,  0.999154f,  0.999158f,  0.999162f,  0.999166f,  0.999170f,
	 0.999174f,  0.999178f,  0.999182f,  0.999186f,  0.999189f,  0.999193f,  0.999197f,  0.999201f,
	 0.999205f,  0.999209f,  0.999212f,  0.999216f,  0.999220f,  0.999224f,  0.999228f,  0.999231f,
	 0.999235f,  0.999239f,  0.999243f,  0.999246f,  0.999250f,  0.999254f,  0.999257f,  0.999261f,
	 0.999265f,  0.999268f,  0.999272f,  0.999276f,  0.999279f,  0.999283f,  0.999287f,  0.999290f,
	 0.999294f,  0.999297f,  0.999301f,  0.999305f,  0.999308f,  0.999312f,  0.999315f,  0.999319f,
	 0.999322f,  0.999326f,  0.999329f,  0.999333f,  0.999336f,  0.999340f,  0.999343f,  0.999347f,
	 0.999350f,  0.999354f,  0.999357f,  0.999361f,  0.999364f,  0.999367f,  0.999371f,  0.999374f,
	 0.999378f,  0.999381f,  0.999384f,  0.999388f,  0.999391f,  0.999394f,  0.999398f,  0.999401f,
	 0.999404f,  0.999408f,  0.999411f,  0.999414f,  0.999418f,  0.999421f,  0.999424f,  0.999427f,
	 0.999431f,  0.999434f,  0.999437f,  0.999440f,  0.999443f,  0.999447f,  0.999450f,  0.999453f,
	 0.999456f,  0.999459f,  0.999462f,  0.999466f,  0.999469f,  0.999472f,  0.999475f,  0.999478f,
	 0.999481f,  0.999484f,  0.999487f,  0.999490f,  0.999493f,  0.999497f,  0.999500f,  0.999503f,
	 0.999506f,  0.999509f,  0.999512f,  0.999515f,  0.999518f,  0.999521f,  0.999524f,  0.999527f,
	 0.999529f,  0.999532f,  0.999535f,  0.999538f,  0.999541f,  0.999544f,  0.999547f,  0.999550f,
	 0.999553f,  0.999556f,  0.999558f,  0.999561f,  0.999564f,  0.999567f,  0.999570f,  0.999573f,
	 0.999575f,  0.999578f,  0.999581f,  0.999584f,  0.999586f,  0.999589f,  0.999592f,  0.999595f,
	 0.999597f,  0.999600f,  0.999603f,  0.999605f,  0.999608f,  0.999611f,  0.999614f,  0.999616f,
	 0.999619f,  0.999621f,  0.999624f,  0.999627f,  0.999629f,  0.999632f,  0.999635f,  0.999637f,
	 0.999640f,  0.999642f,  0.999645f,  0.999647f,  0.999650f,  0.999652f,  0.999655f,  0.999658f,
	 0.999660f,  0.999663f,  0.999665f,  0.999667f,  0.999670f,  0.999672f,  0.999675f,  0.999677f,
	 0.999680f,  0.999682f,  0.999685f,  0.999687f,  0.999689f,  0.999692f,  0.999694f,  0.999696f,
	 0.999699f,  0.999701f,  0.999704f,  0.999706f,  0.999708f,  0.999710f,  0.999713f,  0.999715f,
	 0.999717f,  0.999720f,  0.999722f,  0.999724f,  0.999726f,  0.999729f,  0.999731f,  0.999733f,
	 0.999735f,  0.999738f,  0.999740f,  0.999742f,  0.999744f,  0.999746f,  0.999748f,  0.999750f,
	 0.999753f,  0.999755f,  0.999757f,  0.999759f,  0.999761f,  0.999763f,  0.999765f,  0.999767f,
	 0.999769f,  0.999771f,  0.999774f,  0.999776f,  0.999778f,  0.999780f,  0.999782f,  0.999784f,
	 0.999786f,  0.999788f,  0.999790f,  0.999792f,  0.999793f,  0.999795f,  0.999797f,  0.999799f,
	 0.999801f,  0.999803f,  0.999805f,  0.999807f,  0.999809f,  0.999811f,  0.999812f,  0.999814f,
	 0.999816f,  0.999818f,  0.999820f,  0.999822f,  0.999823f,  0.999825f,  0.999827f,  0.999829f,
	 0.999831f,  0.999832f,  0.999834f,  0.999836f,  0.999838f,  0.999839f,  0.999841f,  0.999843f,
	 0.999844f,  0.999846f,  0.999848f,  0.999849f,  0.999851f,  0.999853f,  0.999854f,  0.999856f,
	 0.999858f,  0.999859f,  0.999861f,  0.999862f,  0.999864f,  0.999866f,  0.999867f,  0.999869f,
	 0.999870f,  0.999872f,  0.999873f,  0.999875f,  0.999876f,  0.999878f,  0.999879f,  0.999881f,
	 0.999882f,  0.999884f,  0.999885f,  0.999887f,  0.999888f,  0.999890f,  0.999891f,  0.999892f,
	 0.999894f,  0.999895f,  0.999897f,  0.999898f,  0.999899f,  0.999901f,  0.999902f,  0.999903f,
	 0.999905f,  0.999906f,  0.999907f,  0.999909f,  0.999910f,  0.999911f,  0.999913f,  0.999914f,
	 0.999915f,  0.999916f,  0.999917f,  0.999919f,  0.999920f,  0.999921f,  0.999922f,  0.999924f,
	 0.999925f,  0.999926f,  0.999927f,  0.999928f,  0.999929f,  0.999930f,  0.999932f,  0.999933f,
	 0.999934f,  0.999935f,  0.999936f,  0.999937f,  0.999938f,  0.999939f,  0.999940f,  0.999941f,
	 0.999942f,  0.999943f,  0.999944f,  0.999945f,  0.999946f,  0.999947f,  0.999948f,  0.999949f,
	 0.999950f,  0.999951f,  0.999952f,  0.999953f,  0.999954f,  0.999955f,  0.999956f,  0.999957f,
	 0.999958f,  0.999959f,  0.999959f,  0.999960f,  0.999961f,  0.999962f,  0.999963f,  0.999964f,
	 0.999964f,  0.999965f,  0.999966f,  0.999967f,  0.999968f,  0.999968f,  0.999969f,  0.999970f,
	 0.999971f,  0.999971f,  0.999972f,  0.999973f,  0.999973f,  0.999974f,  0.999975f,  0.999976f,
	 0.999976f,  0.999977f,  0.999977f,  0.999978f,  0.999979f,  0.999979f,  0.999980f,  0.999981f,
	 0.999981f,  0.999982f,  0.999982f,  0.999983f,  0.999983f,  0.999984f,  0.999985f,  0.999985f,
	 0.999986f,  0.999986f,  0.999987f,  0.999987f,  0.999988f,  0.999988f,  0.999988f,  0.999989f,
	 0.999989f,  0.999990f,  0.999990f,  0.999991f,  0.999991f,  0.999991f,  0.999992f,  0.999992f,
	 0.999993f,  0.999993f,  0.999993f,  0.999994f,  0.999994f,  0.999994f,  0.999995f,  0.999995f,
	 0.999995f,  0.999996f,  0.999996f,  0.999996f,  0.999996f,  0.999997f,  0.999997f,  0.999997f,
	 0.999997f,  0.999998f,  0.999998f,  0.999998f,  0.999998f,  0.999998f,  0.999999f,  0.999999f,
	 0.999999f,  0.999999f,  0.999999f,  0.999999f,  0.999999f,  0.999999f,  1.000000f,  1.000000f,
	 1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f,  1.000000f
};

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