[Scummvm-cvs-logs] scummvm master -> 6334ec413ffa272e09d46e72d813214df74cb04c

clone2727 clone2727 at gmail.com
Tue Jul 19 06:50:58 CEST 2011


This automated email contains information about 1 new commit which have been
pushed to the 'scummvm' repo located at https://github.com/scummvm/scummvm .

Summary:
6334ec413f COMMON: Move cosine/sine tables out of header files


Commit: 6334ec413ffa272e09d46e72d813214df74cb04c
    https://github.com/scummvm/scummvm/commit/6334ec413ffa272e09d46e72d813214df74cb04c
Author: Matthew Hoops (clone2727 at gmail.com)
Date: 2011-07-18T21:45:16-07:00

Commit Message:
COMMON: Move cosine/sine tables out of header files

Access is now restricted to using the getSineTable()/getCosineTable() helper functions.

Changed paths:
  A common/cosinetables.cpp
  A common/sinetables.cpp
  R common/math.cpp
    common/cosinetables.h
    common/dct.cpp
    common/math.h
    common/module.mk
    common/rdft.cpp
    common/sinetables.h



diff --git a/common/cosinetables.cpp b/common/cosinetables.cpp
new file mode 100644
index 0000000..77e2bb7
--- /dev/null
+++ b/common/cosinetables.cpp
@@ -0,0 +1,8274 @@
+/* ScummVM - Graphic Adventure Engine
+ *
+ * ScummVM is the legal property of its developers, whose names
+ * are too numerous to list here. Please refer to the COPYRIGHT
+ * file distributed with this source distribution.
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ *
+ */
+
+// Based on eos' cosine tables
+
+#include "common/cosinetables.h"
+#include "common/scummsys.h"
+
+namespace Common {
+
+static const float cosTable16[8] = {
+	 1.000000,  0.923880,  0.707107,  0.382683,  0.000000,  0.382683,  0.707107,  0.923880
+};
+
+static const float cosTable32[16] = {
+	 1.000000,  0.980785,  0.923880,  0.831470,  0.707107,  0.555570,  0.382683,  0.195090,
+	 0.000000,  0.195090,  0.382683,  0.555570,  0.707107,  0.831470,  0.923880,  0.980785
+};
+
+static const float cosTable64[32] = {
+	 1.000000,  0.995185,  0.980785,  0.956940,  0.923880,  0.881921,  0.831470,  0.773010,
+	 0.707107,  0.634393,  0.555570,  0.471397,  0.382683,  0.290285,  0.195090,  0.098017,
+	 0.000000,  0.098017,  0.195090,  0.290285,  0.382683,  0.471397,  0.555570,  0.634393,
+	 0.707107,  0.773010,  0.831470,  0.881921,  0.923880,  0.956940,  0.980785,  0.995185
+};
+
+static const float cosTable128[64] = {
+	 1.000000,  0.998795,  0.995185,  0.989177,  0.980785,  0.970031,  0.956940,  0.941544,
+	 0.923880,  0.903989,  0.881921,  0.857729,  0.831470,  0.803208,  0.773010,  0.740951,
+	 0.707107,  0.671559,  0.634393,  0.595699,  0.555570,  0.514103,  0.471397,  0.427555,
+	 0.382683,  0.336890,  0.290285,  0.242980,  0.195090,  0.146730,  0.098017,  0.049068,
+	 0.000000,  0.049068,  0.098017,  0.146730,  0.195090,  0.242980,  0.290285,  0.336890,
+	 0.382683,  0.427555,  0.471397,  0.514103,  0.555570,  0.595699,  0.634393,  0.671559,
+	 0.707107,  0.740951,  0.773010,  0.803208,  0.831470,  0.857729,  0.881921,  0.903989,
+	 0.923880,  0.941544,  0.956940,  0.970031,  0.980785,  0.989177,  0.995185,  0.998795
+};
+
+static const float cosTable256[128] = {
+	 1.000000,  0.999699,  0.998795,  0.997290,  0.995185,  0.992480,  0.989177,  0.985278,
+	 0.980785,  0.975702,  0.970031,  0.963776,  0.956940,  0.949528,  0.941544,  0.932993,
+	 0.923880,  0.914210,  0.903989,  0.893224,  0.881921,  0.870087,  0.857729,  0.844854,
+	 0.831470,  0.817585,  0.803208,  0.788346,  0.773010,  0.757209,  0.740951,  0.724247,
+	 0.707107,  0.689541,  0.671559,  0.653173,  0.634393,  0.615232,  0.595699,  0.575808,
+	 0.555570,  0.534998,  0.514103,  0.492898,  0.471397,  0.449611,  0.427555,  0.405241,
+	 0.382683,  0.359895,  0.336890,  0.313682,  0.290285,  0.266713,  0.242980,  0.219101,
+	 0.195090,  0.170962,  0.146730,  0.122411,  0.098017,  0.073565,  0.049068,  0.024541,
+	 0.000000,  0.024541,  0.049068,  0.073565,  0.098017,  0.122411,  0.146730,  0.170962,
+	 0.195090,  0.219101,  0.242980,  0.266713,  0.290285,  0.313682,  0.336890,  0.359895,
+	 0.382683,  0.405241,  0.427555,  0.449611,  0.471397,  0.492898,  0.514103,  0.534998,
+	 0.555570,  0.575808,  0.595699,  0.615232,  0.634393,  0.653173,  0.671559,  0.689541,
+	 0.707107,  0.724247,  0.740951,  0.757209,  0.773010,  0.788346,  0.803208,  0.817585,
+	 0.831470,  0.844854,  0.857729,  0.870087,  0.881921,  0.893224,  0.903989,  0.914210,
+	 0.923880,  0.932993,  0.941544,  0.949528,  0.956940,  0.963776,  0.970031,  0.975702,
+	 0.980785,  0.985278,  0.989177,  0.992480,  0.995185,  0.997290,  0.998795,  0.999699
+};
+
+static const float cosTable512[256] = {
+	 1.000000,  0.999925,  0.999699,  0.999322,  0.998795,  0.998118,  0.997290,  0.996313,
+	 0.995185,  0.993907,  0.992480,  0.990903,  0.989177,  0.987301,  0.985278,  0.983105,
+	 0.980785,  0.978317,  0.975702,  0.972940,  0.970031,  0.966976,  0.963776,  0.960431,
+	 0.956940,  0.953306,  0.949528,  0.945607,  0.941544,  0.937339,  0.932993,  0.928506,
+	 0.923880,  0.919114,  0.914210,  0.909168,  0.903989,  0.898674,  0.893224,  0.887640,
+	 0.881921,  0.876070,  0.870087,  0.863973,  0.857729,  0.851355,  0.844854,  0.838225,
+	 0.831470,  0.824589,  0.817585,  0.810457,  0.803208,  0.795837,  0.788346,  0.780737,
+	 0.773010,  0.765167,  0.757209,  0.749136,  0.740951,  0.732654,  0.724247,  0.715731,
+	 0.707107,  0.698376,  0.689541,  0.680601,  0.671559,  0.662416,  0.653173,  0.643832,
+	 0.634393,  0.624860,  0.615232,  0.605511,  0.595699,  0.585798,  0.575808,  0.565732,
+	 0.555570,  0.545325,  0.534998,  0.524590,  0.514103,  0.503538,  0.492898,  0.482184,
+	 0.471397,  0.460539,  0.449611,  0.438616,  0.427555,  0.416430,  0.405241,  0.393992,
+	 0.382683,  0.371317,  0.359895,  0.348419,  0.336890,  0.325310,  0.313682,  0.302006,
+	 0.290285,  0.278520,  0.266713,  0.254866,  0.242980,  0.231058,  0.219101,  0.207111,
+	 0.195090,  0.183040,  0.170962,  0.158858,  0.146730,  0.134581,  0.122411,  0.110222,
+	 0.098017,  0.085797,  0.073565,  0.061321,  0.049068,  0.036807,  0.024541,  0.012272,
+	 0.000000,  0.012272,  0.024541,  0.036807,  0.049068,  0.061321,  0.073565,  0.085797,
+	 0.098017,  0.110222,  0.122411,  0.134581,  0.146730,  0.158858,  0.170962,  0.183040,
+	 0.195090,  0.207111,  0.219101,  0.231058,  0.242980,  0.254866,  0.266713,  0.278520,
+	 0.290285,  0.302006,  0.313682,  0.325310,  0.336890,  0.348419,  0.359895,  0.371317,
+	 0.382683,  0.393992,  0.405241,  0.416430,  0.427555,  0.438616,  0.449611,  0.460539,
+	 0.471397,  0.482184,  0.492898,  0.503538,  0.514103,  0.524590,  0.534998,  0.545325,
+	 0.555570,  0.565732,  0.575808,  0.585798,  0.595699,  0.605511,  0.615232,  0.624860,
+	 0.634393,  0.643832,  0.653173,  0.662416,  0.671559,  0.680601,  0.689541,  0.698376,
+	 0.707107,  0.715731,  0.724247,  0.732654,  0.740951,  0.749136,  0.757209,  0.765167,
+	 0.773010,  0.780737,  0.788346,  0.795837,  0.803208,  0.810457,  0.817585,  0.824589,
+	 0.831470,  0.838225,  0.844854,  0.851355,  0.857729,  0.863973,  0.870087,  0.876070,
+	 0.881921,  0.887640,  0.893224,  0.898674,  0.903989,  0.909168,  0.914210,  0.919114,
+	 0.923880,  0.928506,  0.932993,  0.937339,  0.941544,  0.945607,  0.949528,  0.953306,
+	 0.956940,  0.960431,  0.963776,  0.966976,  0.970031,  0.972940,  0.975702,  0.978317,
+	 0.980785,  0.983105,  0.985278,  0.987301,  0.989177,  0.990903,  0.992480,  0.993907,
+	 0.995185,  0.996313,  0.997290,  0.998118,  0.998795,  0.999322,  0.999699,  0.999925
+};
+
+static const float cosTable1024[512] = {
+	 1.000000,  0.999981,  0.999925,  0.999831,  0.999699,  0.999529,  0.999322,  0.999078,
+	 0.998795,  0.998476,  0.998118,  0.997723,  0.997290,  0.996820,  0.996313,  0.995767,
+	 0.995185,  0.994565,  0.993907,  0.993212,  0.992480,  0.991710,  0.990903,  0.990058,
+	 0.989177,  0.988258,  0.987301,  0.986308,  0.985278,  0.984210,  0.983105,  0.981964,
+	 0.980785,  0.979570,  0.978317,  0.977028,  0.975702,  0.974339,  0.972940,  0.971504,
+	 0.970031,  0.968522,  0.966976,  0.965394,  0.963776,  0.962121,  0.960431,  0.958703,
+	 0.956940,  0.955141,  0.953306,  0.951435,  0.949528,  0.947586,  0.945607,  0.943593,
+	 0.941544,  0.939459,  0.937339,  0.935184,  0.932993,  0.930767,  0.928506,  0.926210,
+	 0.923880,  0.921514,  0.919114,  0.916679,  0.914210,  0.911706,  0.909168,  0.906596,
+	 0.903989,  0.901349,  0.898674,  0.895966,  0.893224,  0.890449,  0.887640,  0.884797,
+	 0.881921,  0.879012,  0.876070,  0.873095,  0.870087,  0.867046,  0.863973,  0.860867,
+	 0.857729,  0.854558,  0.851355,  0.848120,  0.844854,  0.841555,  0.838225,  0.834863,
+	 0.831470,  0.828045,  0.824589,  0.821102,  0.817585,  0.814036,  0.810457,  0.806848,
+	 0.803208,  0.799537,  0.795837,  0.792107,  0.788346,  0.784557,  0.780737,  0.776888,
+	 0.773010,  0.769103,  0.765167,  0.761202,  0.757209,  0.753187,  0.749136,  0.745058,
+	 0.740951,  0.736817,  0.732654,  0.728464,  0.724247,  0.720003,  0.715731,  0.711432,
+	 0.707107,  0.702755,  0.698376,  0.693971,  0.689541,  0.685084,  0.680601,  0.676093,
+	 0.671559,  0.667000,  0.662416,  0.657807,  0.653173,  0.648514,  0.643832,  0.639124,
+	 0.634393,  0.629638,  0.624860,  0.620057,  0.615232,  0.610383,  0.605511,  0.600616,
+	 0.595699,  0.590760,  0.585798,  0.580814,  0.575808,  0.570781,  0.565732,  0.560662,
+	 0.555570,  0.550458,  0.545325,  0.540171,  0.534998,  0.529804,  0.524590,  0.519356,
+	 0.514103,  0.508830,  0.503538,  0.498228,  0.492898,  0.487550,  0.482184,  0.476799,
+	 0.471397,  0.465977,  0.460539,  0.455084,  0.449611,  0.444122,  0.438616,  0.433094,
+	 0.427555,  0.422000,  0.416430,  0.410843,  0.405241,  0.399624,  0.393992,  0.388345,
+	 0.382683,  0.377007,  0.371317,  0.365613,  0.359895,  0.354164,  0.348419,  0.342661,
+	 0.336890,  0.331106,  0.325310,  0.319502,  0.313682,  0.307850,  0.302006,  0.296151,
+	 0.290285,  0.284408,  0.278520,  0.272621,  0.266713,  0.260794,  0.254866,  0.248928,
+	 0.242980,  0.237024,  0.231058,  0.225084,  0.219101,  0.213110,  0.207111,  0.201105,
+	 0.195090,  0.189069,  0.183040,  0.177004,  0.170962,  0.164913,  0.158858,  0.152797,
+	 0.146730,  0.140658,  0.134581,  0.128498,  0.122411,  0.116319,  0.110222,  0.104122,
+	 0.098017,  0.091909,  0.085797,  0.079682,  0.073565,  0.067444,  0.061321,  0.055195,
+	 0.049068,  0.042938,  0.036807,  0.030675,  0.024541,  0.018407,  0.012272,  0.006136,
+	 0.000000,  0.006136,  0.012272,  0.018407,  0.024541,  0.030675,  0.036807,  0.042938,
+	 0.049068,  0.055195,  0.061321,  0.067444,  0.073565,  0.079682,  0.085797,  0.091909,
+	 0.098017,  0.104122,  0.110222,  0.116319,  0.122411,  0.128498,  0.134581,  0.140658,
+	 0.146730,  0.152797,  0.158858,  0.164913,  0.170962,  0.177004,  0.183040,  0.189069,
+	 0.195090,  0.201105,  0.207111,  0.213110,  0.219101,  0.225084,  0.231058,  0.237024,
+	 0.242980,  0.248928,  0.254866,  0.260794,  0.266713,  0.272621,  0.278520,  0.284408,
+	 0.290285,  0.296151,  0.302006,  0.307850,  0.313682,  0.319502,  0.325310,  0.331106,
+	 0.336890,  0.342661,  0.348419,  0.354164,  0.359895,  0.365613,  0.371317,  0.377007,
+	 0.382683,  0.388345,  0.393992,  0.399624,  0.405241,  0.410843,  0.416430,  0.422000,
+	 0.427555,  0.433094,  0.438616,  0.444122,  0.449611,  0.455084,  0.460539,  0.465977,
+	 0.471397,  0.476799,  0.482184,  0.487550,  0.492898,  0.498228,  0.503538,  0.508830,
+	 0.514103,  0.519356,  0.524590,  0.529804,  0.534998,  0.540171,  0.545325,  0.550458,
+	 0.555570,  0.560662,  0.565732,  0.570781,  0.575808,  0.580814,  0.585798,  0.590760,
+	 0.595699,  0.600616,  0.605511,  0.610383,  0.615232,  0.620057,  0.624860,  0.629638,
+	 0.634393,  0.639124,  0.643832,  0.648514,  0.653173,  0.657807,  0.662416,  0.667000,
+	 0.671559,  0.676093,  0.680601,  0.685084,  0.689541,  0.693971,  0.698376,  0.702755,
+	 0.707107,  0.711432,  0.715731,  0.720003,  0.724247,  0.728464,  0.732654,  0.736817,
+	 0.740951,  0.745058,  0.749136,  0.753187,  0.757209,  0.761202,  0.765167,  0.769103,
+	 0.773010,  0.776888,  0.780737,  0.784557,  0.788346,  0.792107,  0.795837,  0.799537,
+	 0.803208,  0.806848,  0.810457,  0.814036,  0.817585,  0.821102,  0.824589,  0.828045,
+	 0.831470,  0.834863,  0.838225,  0.841555,  0.844854,  0.848120,  0.851355,  0.854558,
+	 0.857729,  0.860867,  0.863973,  0.867046,  0.870087,  0.873095,  0.876070,  0.879012,
+	 0.881921,  0.884797,  0.887640,  0.890449,  0.893224,  0.895966,  0.898674,  0.901349,
+	 0.903989,  0.906596,  0.909168,  0.911706,  0.914210,  0.916679,  0.919114,  0.921514,
+	 0.923880,  0.926210,  0.928506,  0.930767,  0.932993,  0.935184,  0.937339,  0.939459,
+	 0.941544,  0.943593,  0.945607,  0.947586,  0.949528,  0.951435,  0.953306,  0.955141,
+	 0.956940,  0.958703,  0.960431,  0.962121,  0.963776,  0.965394,  0.966976,  0.968522,
+	 0.970031,  0.971504,  0.972940,  0.974339,  0.975702,  0.977028,  0.978317,  0.979570,
+	 0.980785,  0.981964,  0.983105,  0.984210,  0.985278,  0.986308,  0.987301,  0.988258,
+	 0.989177,  0.990058,  0.990903,  0.991710,  0.992480,  0.993212,  0.993907,  0.994565,
+	 0.995185,  0.995767,  0.996313,  0.996820,  0.997290,  0.997723,  0.998118,  0.998476,
+	 0.998795,  0.999078,  0.999322,  0.999529,  0.999699,  0.999831,  0.999925,  0.999981
+};
+
+static const float cosTable2048[1024] = {
+	 1.000000,  0.999995,  0.999981,  0.999958,  0.999925,  0.999882,  0.999831,  0.999769,
+	 0.999699,  0.999619,  0.999529,  0.999431,  0.999322,  0.999205,  0.999078,  0.998941,
+	 0.998795,  0.998640,  0.998476,  0.998302,  0.998118,  0.997925,  0.997723,  0.997511,
+	 0.997290,  0.997060,  0.996820,  0.996571,  0.996313,  0.996045,  0.995767,  0.995481,
+	 0.995185,  0.994879,  0.994565,  0.994240,  0.993907,  0.993564,  0.993212,  0.992850,
+	 0.992480,  0.992099,  0.991710,  0.991311,  0.990903,  0.990485,  0.990058,  0.989622,
+	 0.989177,  0.988722,  0.988258,  0.987784,  0.987301,  0.986809,  0.986308,  0.985798,
+	 0.985278,  0.984748,  0.984210,  0.983662,  0.983105,  0.982539,  0.981964,  0.981379,
+	 0.980785,  0.980182,  0.979570,  0.978948,  0.978317,  0.977677,  0.977028,  0.976370,
+	 0.975702,  0.975025,  0.974339,  0.973644,  0.972940,  0.972227,  0.971504,  0.970772,
+	 0.970031,  0.969281,  0.968522,  0.967754,  0.966976,  0.966190,  0.965394,  0.964590,
+	 0.963776,  0.962953,  0.962121,  0.961280,  0.960431,  0.959572,  0.958703,  0.957826,
+	 0.956940,  0.956045,  0.955141,  0.954228,  0.953306,  0.952375,  0.951435,  0.950486,
+	 0.949528,  0.948561,  0.947586,  0.946601,  0.945607,  0.944605,  0.943593,  0.942573,
+	 0.941544,  0.940506,  0.939459,  0.938404,  0.937339,  0.936266,  0.935184,  0.934093,
+	 0.932993,  0.931884,  0.930767,  0.929641,  0.928506,  0.927363,  0.926210,  0.925049,
+	 0.923880,  0.922701,  0.921514,  0.920318,  0.919114,  0.917901,  0.916679,  0.915449,
+	 0.914210,  0.912962,  0.911706,  0.910441,  0.909168,  0.907886,  0.906596,  0.905297,
+	 0.903989,  0.902673,  0.901349,  0.900016,  0.898674,  0.897325,  0.895966,  0.894599,
+	 0.893224,  0.891841,  0.890449,  0.889048,  0.887640,  0.886223,  0.884797,  0.883363,
+	 0.881921,  0.880471,  0.879012,  0.877545,  0.876070,  0.874587,  0.873095,  0.871595,
+	 0.870087,  0.868571,  0.867046,  0.865514,  0.863973,  0.862424,  0.860867,  0.859302,
+	 0.857729,  0.856147,  0.854558,  0.852961,  0.851355,  0.849742,  0.848120,  0.846491,
+	 0.844854,  0.843208,  0.841555,  0.839894,  0.838225,  0.836548,  0.834863,  0.833170,
+	 0.831470,  0.829761,  0.828045,  0.826321,  0.824589,  0.822850,  0.821102,  0.819348,
+	 0.817585,  0.815814,  0.814036,  0.812251,  0.810457,  0.808656,  0.806848,  0.805031,
+	 0.803208,  0.801376,  0.799537,  0.797691,  0.795837,  0.793975,  0.792107,  0.790230,
+	 0.788346,  0.786455,  0.784557,  0.782651,  0.780737,  0.778817,  0.776888,  0.774953,
+	 0.773010,  0.771061,  0.769103,  0.767139,  0.765167,  0.763188,  0.761202,  0.759209,
+	 0.757209,  0.755201,  0.753187,  0.751165,  0.749136,  0.747101,  0.745058,  0.743008,
+	 0.740951,  0.738887,  0.736817,  0.734739,  0.732654,  0.730563,  0.728464,  0.726359,
+	 0.724247,  0.722128,  0.720003,  0.717870,  0.715731,  0.713585,  0.711432,  0.709273,
+	 0.707107,  0.704934,  0.702755,  0.700569,  0.698376,  0.696177,  0.693971,  0.691759,
+	 0.689541,  0.687315,  0.685084,  0.682846,  0.680601,  0.678350,  0.676093,  0.673829,
+	 0.671559,  0.669283,  0.667000,  0.664711,  0.662416,  0.660114,  0.657807,  0.655493,
+	 0.653173,  0.650847,  0.648514,  0.646176,  0.643832,  0.641481,  0.639124,  0.636762,
+	 0.634393,  0.632019,  0.629638,  0.627252,  0.624860,  0.622461,  0.620057,  0.617647,
+	 0.615232,  0.612810,  0.610383,  0.607950,  0.605511,  0.603067,  0.600616,  0.598161,
+	 0.595699,  0.593232,  0.590760,  0.588282,  0.585798,  0.583309,  0.580814,  0.578314,
+	 0.575808,  0.573297,  0.570781,  0.568259,  0.565732,  0.563199,  0.560662,  0.558119,
+	 0.555570,  0.553017,  0.550458,  0.547894,  0.545325,  0.542751,  0.540171,  0.537587,
+	 0.534998,  0.532403,  0.529804,  0.527199,  0.524590,  0.521975,  0.519356,  0.516732,
+	 0.514103,  0.511469,  0.508830,  0.506187,  0.503538,  0.500885,  0.498228,  0.495565,
+	 0.492898,  0.490226,  0.487550,  0.484869,  0.482184,  0.479494,  0.476799,  0.474100,
+	 0.471397,  0.468689,  0.465977,  0.463260,  0.460539,  0.457813,  0.455084,  0.452350,
+	 0.449611,  0.446869,  0.444122,  0.441371,  0.438616,  0.435857,  0.433094,  0.430326,
+	 0.427555,  0.424780,  0.422000,  0.419217,  0.416430,  0.413638,  0.410843,  0.408044,
+	 0.405241,  0.402435,  0.399624,  0.396810,  0.393992,  0.391170,  0.388345,  0.385516,
+	 0.382683,  0.379847,  0.377007,  0.374164,  0.371317,  0.368467,  0.365613,  0.362756,
+	 0.359895,  0.357031,  0.354164,  0.351293,  0.348419,  0.345541,  0.342661,  0.339777,
+	 0.336890,  0.334000,  0.331106,  0.328210,  0.325310,  0.322408,  0.319502,  0.316593,
+	 0.313682,  0.310767,  0.307850,  0.304929,  0.302006,  0.299080,  0.296151,  0.293219,
+	 0.290285,  0.287347,  0.284408,  0.281465,  0.278520,  0.275572,  0.272621,  0.269668,
+	 0.266713,  0.263755,  0.260794,  0.257831,  0.254866,  0.251898,  0.248928,  0.245955,
+	 0.242980,  0.240003,  0.237024,  0.234042,  0.231058,  0.228072,  0.225084,  0.222094,
+	 0.219101,  0.216107,  0.213110,  0.210112,  0.207111,  0.204109,  0.201105,  0.198098,
+	 0.195090,  0.192080,  0.189069,  0.186055,  0.183040,  0.180023,  0.177004,  0.173984,
+	 0.170962,  0.167938,  0.164913,  0.161886,  0.158858,  0.155828,  0.152797,  0.149765,
+	 0.146730,  0.143695,  0.140658,  0.137620,  0.134581,  0.131540,  0.128498,  0.125455,
+	 0.122411,  0.119365,  0.116319,  0.113271,  0.110222,  0.107172,  0.104122,  0.101070,
+	 0.098017,  0.094963,  0.091909,  0.088854,  0.085797,  0.082740,  0.079682,  0.076624,
+	 0.073565,  0.070505,  0.067444,  0.064383,  0.061321,  0.058258,  0.055195,  0.052132,
+	 0.049068,  0.046003,  0.042938,  0.039873,  0.036807,  0.033741,  0.030675,  0.027608,
+	 0.024541,  0.021474,  0.018407,  0.015339,  0.012272,  0.009204,  0.006136,  0.003068,
+	 0.000000,  0.003068,  0.006136,  0.009204,  0.012272,  0.015339,  0.018407,  0.021474,
+	 0.024541,  0.027608,  0.030675,  0.033741,  0.036807,  0.039873,  0.042938,  0.046003,
+	 0.049068,  0.052132,  0.055195,  0.058258,  0.061321,  0.064383,  0.067444,  0.070505,
+	 0.073565,  0.076624,  0.079682,  0.082740,  0.085797,  0.088854,  0.091909,  0.094963,
+	 0.098017,  0.101070,  0.104122,  0.107172,  0.110222,  0.113271,  0.116319,  0.119365,
+	 0.122411,  0.125455,  0.128498,  0.131540,  0.134581,  0.137620,  0.140658,  0.143695,
+	 0.146730,  0.149765,  0.152797,  0.155828,  0.158858,  0.161886,  0.164913,  0.167938,
+	 0.170962,  0.173984,  0.177004,  0.180023,  0.183040,  0.186055,  0.189069,  0.192080,
+	 0.195090,  0.198098,  0.201105,  0.204109,  0.207111,  0.210112,  0.213110,  0.216107,
+	 0.219101,  0.222094,  0.225084,  0.228072,  0.231058,  0.234042,  0.237024,  0.240003,
+	 0.242980,  0.245955,  0.248928,  0.251898,  0.254866,  0.257831,  0.260794,  0.263755,
+	 0.266713,  0.269668,  0.272621,  0.275572,  0.278520,  0.281465,  0.284408,  0.287347,
+	 0.290285,  0.293219,  0.296151,  0.299080,  0.302006,  0.304929,  0.307850,  0.310767,
+	 0.313682,  0.316593,  0.319502,  0.322408,  0.325310,  0.328210,  0.331106,  0.334000,
+	 0.336890,  0.339777,  0.342661,  0.345541,  0.348419,  0.351293,  0.354164,  0.357031,
+	 0.359895,  0.362756,  0.365613,  0.368467,  0.371317,  0.374164,  0.377007,  0.379847,
+	 0.382683,  0.385516,  0.388345,  0.391170,  0.393992,  0.396810,  0.399624,  0.402435,
+	 0.405241,  0.408044,  0.410843,  0.413638,  0.416430,  0.419217,  0.422000,  0.424780,
+	 0.427555,  0.430326,  0.433094,  0.435857,  0.438616,  0.441371,  0.444122,  0.446869,
+	 0.449611,  0.452350,  0.455084,  0.457813,  0.460539,  0.463260,  0.465977,  0.468689,
+	 0.471397,  0.474100,  0.476799,  0.479494,  0.482184,  0.484869,  0.487550,  0.490226,
+	 0.492898,  0.495565,  0.498228,  0.500885,  0.503538,  0.506187,  0.508830,  0.511469,
+	 0.514103,  0.516732,  0.519356,  0.521975,  0.524590,  0.527199,  0.529804,  0.532403,
+	 0.534998,  0.537587,  0.540171,  0.542751,  0.545325,  0.547894,  0.550458,  0.553017,
+	 0.555570,  0.558119,  0.560662,  0.563199,  0.565732,  0.568259,  0.570781,  0.573297,
+	 0.575808,  0.578314,  0.580814,  0.583309,  0.585798,  0.588282,  0.590760,  0.593232,
+	 0.595699,  0.598161,  0.600616,  0.603067,  0.605511,  0.607950,  0.610383,  0.612810,
+	 0.615232,  0.617647,  0.620057,  0.622461,  0.624860,  0.627252,  0.629638,  0.632019,
+	 0.634393,  0.636762,  0.639124,  0.641481,  0.643832,  0.646176,  0.648514,  0.650847,
+	 0.653173,  0.655493,  0.657807,  0.660114,  0.662416,  0.664711,  0.667000,  0.669283,
+	 0.671559,  0.673829,  0.676093,  0.678350,  0.680601,  0.682846,  0.685084,  0.687315,
+	 0.689541,  0.691759,  0.693971,  0.696177,  0.698376,  0.700569,  0.702755,  0.704934,
+	 0.707107,  0.709273,  0.711432,  0.713585,  0.715731,  0.717870,  0.720003,  0.722128,
+	 0.724247,  0.726359,  0.728464,  0.730563,  0.732654,  0.734739,  0.736817,  0.738887,
+	 0.740951,  0.743008,  0.745058,  0.747101,  0.749136,  0.751165,  0.753187,  0.755201,
+	 0.757209,  0.759209,  0.761202,  0.763188,  0.765167,  0.767139,  0.769103,  0.771061,
+	 0.773010,  0.774953,  0.776888,  0.778817,  0.780737,  0.782651,  0.784557,  0.786455,
+	 0.788346,  0.790230,  0.792107,  0.793975,  0.795837,  0.797691,  0.799537,  0.801376,
+	 0.803208,  0.805031,  0.806848,  0.808656,  0.810457,  0.812251,  0.814036,  0.815814,
+	 0.817585,  0.819348,  0.821102,  0.822850,  0.824589,  0.826321,  0.828045,  0.829761,
+	 0.831470,  0.833170,  0.834863,  0.836548,  0.838225,  0.839894,  0.841555,  0.843208,
+	 0.844854,  0.846491,  0.848120,  0.849742,  0.851355,  0.852961,  0.854558,  0.856147,
+	 0.857729,  0.859302,  0.860867,  0.862424,  0.863973,  0.865514,  0.867046,  0.868571,
+	 0.870087,  0.871595,  0.873095,  0.874587,  0.876070,  0.877545,  0.879012,  0.880471,
+	 0.881921,  0.883363,  0.884797,  0.886223,  0.887640,  0.889048,  0.890449,  0.891841,
+	 0.893224,  0.894599,  0.895966,  0.897325,  0.898674,  0.900016,  0.901349,  0.902673,
+	 0.903989,  0.905297,  0.906596,  0.907886,  0.909168,  0.910441,  0.911706,  0.912962,
+	 0.914210,  0.915449,  0.916679,  0.917901,  0.919114,  0.920318,  0.921514,  0.922701,
+	 0.923880,  0.925049,  0.926210,  0.927363,  0.928506,  0.929641,  0.930767,  0.931884,
+	 0.932993,  0.934093,  0.935184,  0.936266,  0.937339,  0.938404,  0.939459,  0.940506,
+	 0.941544,  0.942573,  0.943593,  0.944605,  0.945607,  0.946601,  0.947586,  0.948561,
+	 0.949528,  0.950486,  0.951435,  0.952375,  0.953306,  0.954228,  0.955141,  0.956045,
+	 0.956940,  0.957826,  0.958703,  0.959572,  0.960431,  0.961280,  0.962121,  0.962953,
+	 0.963776,  0.964590,  0.965394,  0.966190,  0.966976,  0.967754,  0.968522,  0.969281,
+	 0.970031,  0.970772,  0.971504,  0.972227,  0.972940,  0.973644,  0.974339,  0.975025,
+	 0.975702,  0.976370,  0.977028,  0.977677,  0.978317,  0.978948,  0.979570,  0.980182,
+	 0.980785,  0.981379,  0.981964,  0.982539,  0.983105,  0.983662,  0.984210,  0.984748,
+	 0.985278,  0.985798,  0.986308,  0.986809,  0.987301,  0.987784,  0.988258,  0.988722,
+	 0.989177,  0.989622,  0.990058,  0.990485,  0.990903,  0.991311,  0.991710,  0.992099,
+	 0.992480,  0.992850,  0.993212,  0.993564,  0.993907,  0.994240,  0.994565,  0.994879,
+	 0.995185,  0.995481,  0.995767,  0.996045,  0.996313,  0.996571,  0.996820,  0.997060,
+	 0.997290,  0.997511,  0.997723,  0.997925,  0.998118,  0.998302,  0.998476,  0.998640,
+	 0.998795,  0.998941,  0.999078,  0.999205,  0.999322,  0.999431,  0.999529,  0.999619,
+	 0.999699,  0.999769,  0.999831,  0.999882,  0.999925,  0.999958,  0.999981,  0.999995
+};
+
+static const float cosTable4096[2048] = {
+	 1.000000,  0.999999,  0.999995,  0.999989,  0.999981,  0.999971,  0.999958,  0.999942,
+	 0.999925,  0.999905,  0.999882,  0.999858,  0.999831,  0.999801,  0.999769,  0.999735,
+	 0.999699,  0.999660,  0.999619,  0.999575,  0.999529,  0.999481,  0.999431,  0.999378,
+	 0.999322,  0.999265,  0.999205,  0.999142,  0.999078,  0.999011,  0.998941,  0.998870,
+	 0.998795,  0.998719,  0.998640,  0.998559,  0.998476,  0.998390,  0.998302,  0.998211,
+	 0.998118,  0.998023,  0.997925,  0.997825,  0.997723,  0.997618,  0.997511,  0.997402,
+	 0.997290,  0.997176,  0.997060,  0.996941,  0.996820,  0.996697,  0.996571,  0.996443,
+	 0.996313,  0.996180,  0.996045,  0.995907,  0.995767,  0.995625,  0.995481,  0.995334,
+	 0.995185,  0.995033,  0.994879,  0.994723,  0.994565,  0.994404,  0.994240,  0.994075,
+	 0.993907,  0.993737,  0.993564,  0.993389,  0.993212,  0.993032,  0.992850,  0.992666,
+	 0.992480,  0.992291,  0.992099,  0.991906,  0.991710,  0.991511,  0.991311,  0.991108,
+	 0.990903,  0.990695,  0.990485,  0.990273,  0.990058,  0.989841,  0.989622,  0.989400,
+	 0.989177,  0.988950,  0.988722,  0.988491,  0.988258,  0.988022,  0.987784,  0.987544,
+	 0.987301,  0.987057,  0.986809,  0.986560,  0.986308,  0.986054,  0.985798,  0.985539,
+	 0.985278,  0.985014,  0.984748,  0.984480,  0.984210,  0.983937,  0.983662,  0.983385,
+	 0.983105,  0.982824,  0.982539,  0.982253,  0.981964,  0.981673,  0.981379,  0.981083,
+	 0.980785,  0.980485,  0.980182,  0.979877,  0.979570,  0.979260,  0.978948,  0.978634,
+	 0.978317,  0.977998,  0.977677,  0.977354,  0.977028,  0.976700,  0.976370,  0.976037,
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+	 0.393992,  0.395401,  0.396810,  0.398218,  0.399624,  0.401030,  0.402435,  0.403838,
+	 0.405241,  0.406643,  0.408044,  0.409444,  0.410843,  0.412241,  0.413638,  0.415034,
+	 0.416430,  0.417824,  0.419217,  0.420609,  0.422000,  0.423390,  0.424780,  0.426168,
+	 0.427555,  0.428941,  0.430326,  0.431711,  0.433094,  0.434476,  0.435857,  0.437237,
+	 0.438616,  0.439994,  0.441371,  0.442747,  0.444122,  0.445496,  0.446869,  0.448241,
+	 0.449611,  0.450981,  0.452350,  0.453717,  0.455084,  0.456449,  0.457813,  0.459177,
+	 0.460539,  0.461900,  0.463260,  0.464619,  0.465977,  0.467333,  0.468689,  0.470043,
+	 0.471397,  0.472749,  0.474100,  0.475450,  0.476799,  0.478147,  0.479494,  0.480839,
+	 0.482184,  0.483527,  0.484869,  0.486210,  0.487550,  0.488889,  0.490226,  0.491563,
+	 0.492898,  0.494232,  0.495565,  0.496897,  0.498228,  0.499557,  0.500885,  0.502212,
+	 0.503538,  0.504863,  0.506187,  0.507509,  0.508830,  0.510150,  0.511469,  0.512786,
+	 0.514103,  0.515418,  0.516732,  0.518045,  0.519356,  0.520666,  0.521975,  0.523283,
+	 0.524590,  0.525895,  0.527199,  0.528502,  0.529804,  0.531104,  0.532403,  0.533701,
+	 0.534998,  0.536293,  0.537587,  0.538880,  0.540171,  0.541462,  0.542751,  0.544039,
+	 0.545325,  0.546610,  0.547894,  0.549177,  0.550458,  0.551738,  0.553017,  0.554294,
+	 0.555570,  0.556845,  0.558119,  0.559391,  0.560662,  0.561931,  0.563199,  0.564466,
+	 0.565732,  0.566996,  0.568259,  0.569521,  0.570781,  0.572040,  0.573297,  0.574553,
+	 0.575808,  0.577062,  0.578314,  0.579565,  0.580814,  0.582062,  0.583309,  0.584554,
+	 0.585798,  0.587040,  0.588282,  0.589521,  0.590760,  0.591997,  0.593232,  0.594467,
+	 0.595699,  0.596931,  0.598161,  0.599389,  0.600616,  0.601842,  0.603067,  0.604290,
+	 0.605511,  0.606731,  0.607950,  0.609167,  0.610383,  0.611597,  0.612810,  0.614022,
+	 0.615232,  0.616440,  0.617647,  0.618853,  0.620057,  0.621260,  0.622461,  0.623661,
+	 0.624860,  0.626056,  0.627252,  0.628446,  0.629638,  0.630829,  0.632019,  0.633207,
+	 0.634393,  0.635578,  0.636762,  0.637944,  0.639124,  0.640303,  0.641481,  0.642657,
+	 0.643832,  0.645005,  0.646176,  0.647346,  0.648514,  0.649681,  0.650847,  0.652011,
+	 0.653173,  0.654334,  0.655493,  0.656651,  0.657807,  0.658961,  0.660114,  0.661266,
+	 0.662416,  0.663564,  0.664711,  0.665856,  0.667000,  0.668142,  0.669283,  0.670422,
+	 0.671559,  0.672695,  0.673829,  0.674962,  0.676093,  0.677222,  0.678350,  0.679476,
+	 0.680601,  0.681724,  0.682846,  0.683965,  0.685084,  0.686200,  0.687315,  0.688429,
+	 0.689541,  0.690651,  0.691759,  0.692866,  0.693971,  0.695075,  0.696177,  0.697277,
+	 0.698376,  0.699473,  0.700569,  0.701663,  0.702755,  0.703845,  0.704934,  0.706021,
+	 0.707107,  0.708191,  0.709273,  0.710353,  0.711432,  0.712509,  0.713585,  0.714659,
+	 0.715731,  0.716801,  0.717870,  0.718937,  0.720003,  0.721066,  0.722128,  0.723188,
+	 0.724247,  0.725304,  0.726359,  0.727413,  0.728464,  0.729514,  0.730563,  0.731609,
+	 0.732654,  0.733697,  0.734739,  0.735779,  0.736817,  0.737853,  0.738887,  0.739920,
+	 0.740951,  0.741980,  0.743008,  0.744034,  0.745058,  0.746080,  0.747101,  0.748119,
+	 0.749136,  0.750152,  0.751165,  0.752177,  0.753187,  0.754195,  0.755201,  0.756206,
+	 0.757209,  0.758210,  0.759209,  0.760207,  0.761202,  0.762196,  0.763188,  0.764179,
+	 0.765167,  0.766154,  0.767139,  0.768122,  0.769103,  0.770083,  0.771061,  0.772036,
+	 0.773010,  0.773983,  0.774953,  0.775922,  0.776888,  0.777853,  0.778817,  0.779778,
+	 0.780737,  0.781695,  0.782651,  0.783605,  0.784557,  0.785507,  0.786455,  0.787402,
+	 0.788346,  0.789289,  0.790230,  0.791169,  0.792107,  0.793042,  0.793975,  0.794907,
+	 0.795837,  0.796765,  0.797691,  0.798615,  0.799537,  0.800458,  0.801376,  0.802293,
+	 0.803208,  0.804120,  0.805031,  0.805940,  0.806848,  0.807753,  0.808656,  0.809558,
+	 0.810457,  0.811355,  0.812251,  0.813144,  0.814036,  0.814926,  0.815814,  0.816701,
+	 0.817585,  0.818467,  0.819348,  0.820226,  0.821102,  0.821977,  0.822850,  0.823721,
+	 0.824589,  0.825456,  0.826321,  0.827184,  0.828045,  0.828904,  0.829761,  0.830616,
+	 0.831470,  0.832321,  0.833170,  0.834018,  0.834863,  0.835706,  0.836548,  0.837387,
+	 0.838225,  0.839060,  0.839894,  0.840725,  0.841555,  0.842383,  0.843208,  0.844032,
+	 0.844854,  0.845673,  0.846491,  0.847307,  0.848120,  0.848932,  0.849742,  0.850549,
+	 0.851355,  0.852159,  0.852961,  0.853760,  0.854558,  0.855354,  0.856147,  0.856939,
+	 0.857729,  0.858516,  0.859302,  0.860085,  0.860867,  0.861646,  0.862424,  0.863199,
+	 0.863973,  0.864744,  0.865514,  0.866281,  0.867046,  0.867809,  0.868571,  0.869330,
+	 0.870087,  0.870842,  0.871595,  0.872346,  0.873095,  0.873842,  0.874587,  0.875329,
+	 0.876070,  0.876809,  0.877545,  0.878280,  0.879012,  0.879743,  0.880471,  0.881197,
+	 0.881921,  0.882643,  0.883363,  0.884081,  0.884797,  0.885511,  0.886223,  0.886932,
+	 0.887640,  0.888345,  0.889048,  0.889750,  0.890449,  0.891146,  0.891841,  0.892534,
+	 0.893224,  0.893913,  0.894599,  0.895284,  0.895966,  0.896646,  0.897325,  0.898001,
+	 0.898674,  0.899346,  0.900016,  0.900683,  0.901349,  0.902012,  0.902673,  0.903332,
+	 0.903989,  0.904644,  0.905297,  0.905947,  0.906596,  0.907242,  0.907886,  0.908528,
+	 0.909168,  0.909806,  0.910441,  0.911075,  0.911706,  0.912335,  0.912962,  0.913587,
+	 0.914210,  0.914830,  0.915449,  0.916065,  0.916679,  0.917291,  0.917901,  0.918508,
+	 0.919114,  0.919717,  0.920318,  0.920917,  0.921514,  0.922109,  0.922701,  0.923291,
+	 0.923880,  0.924465,  0.925049,  0.925631,  0.926210,  0.926787,  0.927363,  0.927935,
+	 0.928506,  0.929075,  0.929641,  0.930205,  0.930767,  0.931327,  0.931884,  0.932440,
+	 0.932993,  0.933544,  0.934093,  0.934639,  0.935184,  0.935726,  0.936266,  0.936803,
+	 0.937339,  0.937872,  0.938404,  0.938932,  0.939459,  0.939984,  0.940506,  0.941026,
+	 0.941544,  0.942060,  0.942573,  0.943084,  0.943593,  0.944100,  0.944605,  0.945107,
+	 0.945607,  0.946105,  0.946601,  0.947094,  0.947586,  0.948075,  0.948561,  0.949046,
+	 0.949528,  0.950008,  0.950486,  0.950962,  0.951435,  0.951906,  0.952375,  0.952842,
+	 0.953306,  0.953768,  0.954228,  0.954686,  0.955141,  0.955594,  0.956045,  0.956494,
+	 0.956940,  0.957385,  0.957826,  0.958266,  0.958703,  0.959139,  0.959572,  0.960002,
+	 0.960431,  0.960857,  0.961280,  0.961702,  0.962121,  0.962538,  0.962953,  0.963366,
+	 0.963776,  0.964184,  0.964590,  0.964993,  0.965394,  0.965793,  0.966190,  0.966584,
+	 0.966976,  0.967366,  0.967754,  0.968139,  0.968522,  0.968903,  0.969281,  0.969657,
+	 0.970031,  0.970403,  0.970772,  0.971139,  0.971504,  0.971866,  0.972227,  0.972584,
+	 0.972940,  0.973293,  0.973644,  0.973993,  0.974339,  0.974684,  0.975025,  0.975365,
+	 0.975702,  0.976037,  0.976370,  0.976700,  0.977028,  0.977354,  0.977677,  0.977998,
+	 0.978317,  0.978634,  0.978948,  0.979260,  0.979570,  0.979877,  0.980182,  0.980485,
+	 0.980785,  0.981083,  0.981379,  0.981673,  0.981964,  0.982253,  0.982539,  0.982824,
+	 0.983105,  0.983385,  0.983662,  0.983937,  0.984210,  0.984480,  0.984748,  0.985014,
+	 0.985278,  0.985539,  0.985798,  0.986054,  0.986308,  0.986560,  0.986809,  0.987057,
+	 0.987301,  0.987544,  0.987784,  0.988022,  0.988258,  0.988491,  0.988722,  0.988950,
+	 0.989177,  0.989400,  0.989622,  0.989841,  0.990058,  0.990273,  0.990485,  0.990695,
+	 0.990903,  0.991108,  0.991311,  0.991511,  0.991710,  0.991906,  0.992099,  0.992291,
+	 0.992480,  0.992666,  0.992850,  0.993032,  0.993212,  0.993389,  0.993564,  0.993737,
+	 0.993907,  0.994075,  0.994240,  0.994404,  0.994565,  0.994723,  0.994879,  0.995033,
+	 0.995185,  0.995334,  0.995481,  0.995625,  0.995767,  0.995907,  0.996045,  0.996180,
+	 0.996313,  0.996443,  0.996571,  0.996697,  0.996820,  0.996941,  0.997060,  0.997176,
+	 0.997290,  0.997402,  0.997511,  0.997618,  0.997723,  0.997825,  0.997925,  0.998023,
+	 0.998118,  0.998211,  0.998302,  0.998390,  0.998476,  0.998559,  0.998640,  0.998719,
+	 0.998795,  0.998870,  0.998941,  0.999011,  0.999078,  0.999142,  0.999205,  0.999265,
+	 0.999322,  0.999378,  0.999431,  0.999481,  0.999529,  0.999575,  0.999619,  0.999660,
+	 0.999699,  0.999735,  0.999769,  0.999801,  0.999831,  0.999858,  0.999882,  0.999905,
+	 0.999925,  0.999942,  0.999958,  0.999971,  0.999981,  0.999989,  0.999995,  0.999999
+};
+
+static const float cosTable8192[4096] = {
+	 1.000000,  1.000000,  0.999999,  0.999997,  0.999995,  0.999993,  0.999989,  0.999986,
+	 0.999981,  0.999976,  0.999971,  0.999964,  0.999958,  0.999950,  0.999942,  0.999934,
+	 0.999925,  0.999915,  0.999905,  0.999894,  0.999882,  0.999870,  0.999858,  0.999844,
+	 0.999831,  0.999816,  0.999801,  0.999786,  0.999769,  0.999753,  0.999735,  0.999717,
+	 0.999699,  0.999680,  0.999660,  0.999640,  0.999619,  0.999597,  0.999575,  0.999553,
+	 0.999529,  0.999506,  0.999481,  0.999456,  0.999431,  0.999404,  0.999378,  0.999350,
+	 0.999322,  0.999294,  0.999265,  0.999235,  0.999205,  0.999174,  0.999142,  0.999110,
+	 0.999078,  0.999044,  0.999011,  0.998976,  0.998941,  0.998906,  0.998870,  0.998833,
+	 0.998795,  0.998758,  0.998719,  0.998680,  0.998640,  0.998600,  0.998559,  0.998518,
+	 0.998476,  0.998433,  0.998390,  0.998346,  0.998302,  0.998257,  0.998211,  0.998165,
+	 0.998118,  0.998071,  0.998023,  0.997974,  0.997925,  0.997876,  0.997825,  0.997774,
+	 0.997723,  0.997671,  0.997618,  0.997565,  0.997511,  0.997457,  0.997402,  0.997347,
+	 0.997290,  0.997234,  0.997176,  0.997119,  0.997060,  0.997001,  0.996941,  0.996881,
+	 0.996820,  0.996759,  0.996697,  0.996634,  0.996571,  0.996507,  0.996443,  0.996378,
+	 0.996313,  0.996247,  0.996180,  0.996113,  0.996045,  0.995976,  0.995907,  0.995838,
+	 0.995767,  0.995697,  0.995625,  0.995553,  0.995481,  0.995408,  0.995334,  0.995260,
+	 0.995185,  0.995109,  0.995033,  0.994957,  0.994879,  0.994802,  0.994723,  0.994644,
+	 0.994565,  0.994484,  0.994404,  0.994322,  0.994240,  0.994158,  0.994075,  0.993991,
+	 0.993907,  0.993822,  0.993737,  0.993651,  0.993564,  0.993477,  0.993389,  0.993301,
+	 0.993212,  0.993122,  0.993032,  0.992942,  0.992850,  0.992759,  0.992666,  0.992573,
+	 0.992480,  0.992385,  0.992291,  0.992195,  0.992099,  0.992003,  0.991906,  0.991808,
+	 0.991710,  0.991611,  0.991511,  0.991411,  0.991311,  0.991210,  0.991108,  0.991006,
+	 0.990903,  0.990799,  0.990695,  0.990590,  0.990485,  0.990379,  0.990273,  0.990166,
+	 0.990058,  0.989950,  0.989841,  0.989732,  0.989622,  0.989511,  0.989400,  0.989289,
+	 0.989177,  0.989064,  0.988950,  0.988836,  0.988722,  0.988607,  0.988491,  0.988374,
+	 0.988258,  0.988140,  0.988022,  0.987903,  0.987784,  0.987664,  0.987544,  0.987423,
+	 0.987301,  0.987179,  0.987057,  0.986933,  0.986809,  0.986685,  0.986560,  0.986434,
+	 0.986308,  0.986181,  0.986054,  0.985926,  0.985798,  0.985668,  0.985539,  0.985408,
+	 0.985278,  0.985146,  0.985014,  0.984882,  0.984748,  0.984615,  0.984480,  0.984346,
+	 0.984210,  0.984074,  0.983937,  0.983800,  0.983662,  0.983524,  0.983385,  0.983246,
+	 0.983105,  0.982965,  0.982824,  0.982682,  0.982539,  0.982396,  0.982253,  0.982109,
+	 0.981964,  0.981819,  0.981673,  0.981526,  0.981379,  0.981232,  0.981083,  0.980935,
+	 0.980785,  0.980635,  0.980485,  0.980334,  0.980182,  0.980030,  0.979877,  0.979724,
+	 0.979570,  0.979415,  0.979260,  0.979104,  0.978948,  0.978791,  0.978634,  0.978476,
+	 0.978317,  0.978158,  0.977998,  0.977838,  0.977677,  0.977516,  0.977354,  0.977191,
+	 0.977028,  0.976864,  0.976700,  0.976535,  0.976370,  0.976204,  0.976037,  0.975870,
+	 0.975702,  0.975534,  0.975365,  0.975195,  0.975025,  0.974855,  0.974684,  0.974512,
+	 0.974339,  0.974166,  0.973993,  0.973819,  0.973644,  0.973469,  0.973293,  0.973117,
+	 0.972940,  0.972762,  0.972584,  0.972406,  0.972227,  0.972047,  0.971866,  0.971685,
+	 0.971504,  0.971322,  0.971139,  0.970956,  0.970772,  0.970588,  0.970403,  0.970217,
+	 0.970031,  0.969845,  0.969657,  0.969470,  0.969281,  0.969092,  0.968903,  0.968713,
+	 0.968522,  0.968331,  0.968139,  0.967947,  0.967754,  0.967560,  0.967366,  0.967172,
+	 0.966976,  0.966781,  0.966584,  0.966387,  0.966190,  0.965992,  0.965793,  0.965594,
+	 0.965394,  0.965194,  0.964993,  0.964792,  0.964590,  0.964387,  0.964184,  0.963980,
+	 0.963776,  0.963571,  0.963366,  0.963160,  0.962953,  0.962746,  0.962538,  0.962330,
+	 0.962121,  0.961912,  0.961702,  0.961492,  0.961280,  0.961069,  0.960857,  0.960644,
+	 0.960431,  0.960217,  0.960002,  0.959787,  0.959572,  0.959355,  0.959139,  0.958921,
+	 0.958703,  0.958485,  0.958266,  0.958046,  0.957826,  0.957606,  0.957385,  0.957163,
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+	 0.977028,  0.977191,  0.977354,  0.977516,  0.977677,  0.977838,  0.977998,  0.978158,
+	 0.978317,  0.978476,  0.978634,  0.978791,  0.978948,  0.979104,  0.979260,  0.979415,
+	 0.979570,  0.979724,  0.979877,  0.980030,  0.980182,  0.980334,  0.980485,  0.980635,
+	 0.980785,  0.980935,  0.981083,  0.981232,  0.981379,  0.981526,  0.981673,  0.981819,
+	 0.981964,  0.982109,  0.982253,  0.982396,  0.982539,  0.982682,  0.982824,  0.982965,
+	 0.983105,  0.983246,  0.983385,  0.983524,  0.983662,  0.983800,  0.983937,  0.984074,
+	 0.984210,  0.984346,  0.984480,  0.984615,  0.984748,  0.984882,  0.985014,  0.985146,
+	 0.985278,  0.985408,  0.985539,  0.985668,  0.985798,  0.985926,  0.986054,  0.986181,
+	 0.986308,  0.986434,  0.986560,  0.986685,  0.986809,  0.986933,  0.987057,  0.987179,
+	 0.987301,  0.987423,  0.987544,  0.987664,  0.987784,  0.987903,  0.988022,  0.988140,
+	 0.988258,  0.988374,  0.988491,  0.988607,  0.988722,  0.988836,  0.988950,  0.989064,
+	 0.989177,  0.989289,  0.989400,  0.989511,  0.989622,  0.989732,  0.989841,  0.989950,
+	 0.990058,  0.990166,  0.990273,  0.990379,  0.990485,  0.990590,  0.990695,  0.990799,
+	 0.990903,  0.991006,  0.991108,  0.991210,  0.991311,  0.991411,  0.991511,  0.991611,
+	 0.991710,  0.991808,  0.991906,  0.992003,  0.992099,  0.992195,  0.992291,  0.992385,
+	 0.992480,  0.992573,  0.992666,  0.992759,  0.992850,  0.992942,  0.993032,  0.993122,
+	 0.993212,  0.993301,  0.993389,  0.993477,  0.993564,  0.993651,  0.993737,  0.993822,
+	 0.993907,  0.993991,  0.994075,  0.994158,  0.994240,  0.994322,  0.994404,  0.994484,
+	 0.994565,  0.994644,  0.994723,  0.994802,  0.994879,  0.994957,  0.995033,  0.995109,
+	 0.995185,  0.995260,  0.995334,  0.995408,  0.995481,  0.995553,  0.995625,  0.995697,
+	 0.995767,  0.995838,  0.995907,  0.995976,  0.996045,  0.996113,  0.996180,  0.996247,
+	 0.996313,  0.996378,  0.996443,  0.996507,  0.996571,  0.996634,  0.996697,  0.996759,
+	 0.996820,  0.996881,  0.996941,  0.997001,  0.997060,  0.997119,  0.997176,  0.997234,
+	 0.997290,  0.997347,  0.997402,  0.997457,  0.997511,  0.997565,  0.997618,  0.997671,
+	 0.997723,  0.997774,  0.997825,  0.997876,  0.997925,  0.997974,  0.998023,  0.998071,
+	 0.998118,  0.998165,  0.998211,  0.998257,  0.998302,  0.998346,  0.998390,  0.998433,
+	 0.998476,  0.998518,  0.998559,  0.998600,  0.998640,  0.998680,  0.998719,  0.998758,
+	 0.998795,  0.998833,  0.998870,  0.998906,  0.998941,  0.998976,  0.999011,  0.999044,
+	 0.999078,  0.999110,  0.999142,  0.999174,  0.999205,  0.999235,  0.999265,  0.999294,
+	 0.999322,  0.999350,  0.999378,  0.999404,  0.999431,  0.999456,  0.999481,  0.999506,
+	 0.999529,  0.999553,  0.999575,  0.999597,  0.999619,  0.999640,  0.999660,  0.999680,
+	 0.999699,  0.999717,  0.999735,  0.999753,  0.999769,  0.999786,  0.999801,  0.999816,
+	 0.999831,  0.999844,  0.999858,  0.999870,  0.999882,  0.999894,  0.999905,  0.999915,
+	 0.999925,  0.999934,  0.999942,  0.999950,  0.999958,  0.999964,  0.999971,  0.999976,
+	 0.999981,  0.999986,  0.999989,  0.999993,  0.999995,  0.999997,  0.999999,  1.000000
+};
+
+static const float cosTable16384[8192] = {
+	 1.000000,  1.000000,  1.000000,  0.999999,  0.999999,  0.999998,  0.999997,  0.999996,
+	 0.999995,  0.999994,  0.999993,  0.999991,  0.999989,  0.999988,  0.999986,  0.999983,
+	 0.999981,  0.999979,  0.999976,  0.999973,  0.999971,  0.999968,  0.999964,  0.999961,
+	 0.999958,  0.999954,  0.999950,  0.999946,  0.999942,  0.999938,  0.999934,  0.999929,
+	 0.999925,  0.999920,  0.999915,  0.999910,  0.999905,  0.999899,  0.999894,  0.999888,
+	 0.999882,  0.999876,  0.999870,  0.999864,  0.999858,  0.999851,  0.999844,  0.999838,
+	 0.999831,  0.999823,  0.999816,  0.999809,  0.999801,  0.999793,  0.999786,  0.999778,
+	 0.999769,  0.999761,  0.999753,  0.999744,  0.999735,  0.999726,  0.999717,  0.999708,
+	 0.999699,  0.999689,  0.999680,  0.999670,  0.999660,  0.999650,  0.999640,  0.999629,
+	 0.999619,  0.999608,  0.999597,  0.999586,  0.999575,  0.999564,  0.999553,  0.999541,
+	 0.999529,  0.999518,  0.999506,  0.999493,  0.999481,  0.999469,  0.999456,  0.999443,
+	 0.999431,  0.999418,  0.999404,  0.999391,  0.999378,  0.999364,  0.999350,  0.999336,
+	 0.999322,  0.999308,  0.999294,  0.999279,  0.999265,  0.999250,  0.999235,  0.999220,
+	 0.999205,  0.999189,  0.999174,  0.999158,  0.999142,  0.999126,  0.999110,  0.999094,
+	 0.999078,  0.999061,  0.999044,  0.999028,  0.999011,  0.998994,  0.998976,  0.998959,
+	 0.998941,  0.998924,  0.998906,  0.998888,  0.998870,  0.998851,  0.998833,  0.998814,
+	 0.998795,  0.998777,  0.998758,  0.998738,  0.998719,  0.998700,  0.998680,  0.998660,
+	 0.998640,  0.998620,  0.998600,  0.998580,  0.998559,  0.998538,  0.998518,  0.998497,
+	 0.998476,  0.998454,  0.998433,  0.998411,  0.998390,  0.998368,  0.998346,  0.998324,
+	 0.998302,  0.998279,  0.998257,  0.998234,  0.998211,  0.998188,  0.998165,  0.998142,
+	 0.998118,  0.998094,  0.998071,  0.998047,  0.998023,  0.997999,  0.997974,  0.997950,
+	 0.997925,  0.997901,  0.997876,  0.997851,  0.997825,  0.997800,  0.997774,  0.997749,
+	 0.997723,  0.997697,  0.997671,  0.997645,  0.997618,  0.997592,  0.997565,  0.997538,
+	 0.997511,  0.997484,  0.997457,  0.997430,  0.997402,  0.997374,  0.997347,  0.997319,
+	 0.997290,  0.997262,  0.997234,  0.997205,  0.997176,  0.997148,  0.997119,  0.997089,
+	 0.997060,  0.997031,  0.997001,  0.996971,  0.996941,  0.996911,  0.996881,  0.996851,
+	 0.996820,  0.996790,  0.996759,  0.996728,  0.996697,  0.996666,  0.996634,  0.996603,
+	 0.996571,  0.996539,  0.996507,  0.996475,  0.996443,  0.996411,  0.996378,  0.996345,
+	 0.996313,  0.996280,  0.996247,  0.996213,  0.996180,  0.996146,  0.996113,  0.996079,
+	 0.996045,  0.996011,  0.995976,  0.995942,  0.995907,  0.995872,  0.995838,  0.995803,
+	 0.995767,  0.995732,  0.995697,  0.995661,  0.995625,  0.995589,  0.995553,  0.995517,
+	 0.995481,  0.995444,  0.995408,  0.995371,  0.995334,  0.995297,  0.995260,  0.995222,
+	 0.995185,  0.995147,  0.995109,  0.995071,  0.995033,  0.994995,  0.994957,  0.994918,
+	 0.994879,  0.994841,  0.994802,  0.994762,  0.994723,  0.994684,  0.994644,  0.994604,
+	 0.994565,  0.994525,  0.994484,  0.994444,  0.994404,  0.994363,  0.994322,  0.994281,
+	 0.994240,  0.994199,  0.994158,  0.994116,  0.994075,  0.994033,  0.993991,  0.993949,
+	 0.993907,  0.993865,  0.993822,  0.993779,  0.993737,  0.993694,  0.993651,  0.993608,
+	 0.993564,  0.993521,  0.993477,  0.993433,  0.993389,  0.993345,  0.993301,  0.993257,
+	 0.993212,  0.993167,  0.993122,  0.993077,  0.993032,  0.992987,  0.992942,  0.992896,
+	 0.992850,  0.992805,  0.992759,  0.992712,  0.992666,  0.992620,  0.992573,  0.992526,
+	 0.992480,  0.992433,  0.992385,  0.992338,  0.992291,  0.992243,  0.992195,  0.992147,
+	 0.992099,  0.992051,  0.992003,  0.991954,  0.991906,  0.991857,  0.991808,  0.991759,
+	 0.991710,  0.991660,  0.991611,  0.991561,  0.991511,  0.991462,  0.991411,  0.991361,
+	 0.991311,  0.991260,  0.991210,  0.991159,  0.991108,  0.991057,  0.991006,  0.990954,
+	 0.990903,  0.990851,  0.990799,  0.990747,  0.990695,  0.990643,  0.990590,  0.990538,
+	 0.990485,  0.990432,  0.990379,  0.990326,  0.990273,  0.990219,  0.990166,  0.990112,
+	 0.990058,  0.990004,  0.989950,  0.989896,  0.989841,  0.989787,  0.989732,  0.989677,
+	 0.989622,  0.989567,  0.989511,  0.989456,  0.989400,  0.989345,  0.989289,  0.989233,
+	 0.989177,  0.989120,  0.989064,  0.989007,  0.988950,  0.988893,  0.988836,  0.988779,
+	 0.988722,  0.988664,  0.988607,  0.988549,  0.988491,  0.988433,  0.988374,  0.988316,
+	 0.988258,  0.988199,  0.988140,  0.988081,  0.988022,  0.987963,  0.987903,  0.987844,
+	 0.987784,  0.987724,  0.987664,  0.987604,  0.987544,  0.987484,  0.987423,  0.987362,
+	 0.987301,  0.987240,  0.987179,  0.987118,  0.987057,  0.986995,  0.986933,  0.986871,
+	 0.986809,  0.986747,  0.986685,  0.986623,  0.986560,  0.986497,  0.986434,  0.986371,
+	 0.986308,  0.986245,  0.986181,  0.986118,  0.986054,  0.985990,  0.985926,  0.985862,
+	 0.985798,  0.985733,  0.985668,  0.985604,  0.985539,  0.985474,  0.985408,  0.985343,
+	 0.985278,  0.985212,  0.985146,  0.985080,  0.985014,  0.984948,  0.984882,  0.984815,
+	 0.984748,  0.984682,  0.984615,  0.984548,  0.984480,  0.984413,  0.984346,  0.984278,
+	 0.984210,  0.984142,  0.984074,  0.984006,  0.983937,  0.983869,  0.983800,  0.983731,
+	 0.983662,  0.983593,  0.983524,  0.983455,  0.983385,  0.983315,  0.983246,  0.983176,
+	 0.983105,  0.983035,  0.982965,  0.982894,  0.982824,  0.982753,  0.982682,  0.982611,
+	 0.982539,  0.982468,  0.982396,  0.982325,  0.982253,  0.982181,  0.982109,  0.982036,
+	 0.981964,  0.981891,  0.981819,  0.981746,  0.981673,  0.981600,  0.981526,  0.981453,
+	 0.981379,  0.981305,  0.981232,  0.981158,  0.981083,  0.981009,  0.980935,  0.980860,
+	 0.980785,  0.980710,  0.980635,  0.980560,  0.980485,  0.980409,  0.980334,  0.980258,
+	 0.980182,  0.980106,  0.980030,  0.979954,  0.979877,  0.979800,  0.979724,  0.979647,
+	 0.979570,  0.979493,  0.979415,  0.979338,  0.979260,  0.979182,  0.979104,  0.979026,
+	 0.978948,  0.978870,  0.978791,  0.978713,  0.978634,  0.978555,  0.978476,  0.978397,
+	 0.978317,  0.978238,  0.978158,  0.978078,  0.977998,  0.977918,  0.977838,  0.977758,
+	 0.977677,  0.977597,  0.977516,  0.977435,  0.977354,  0.977273,  0.977191,  0.977110,
+	 0.977028,  0.976946,  0.976864,  0.976782,  0.976700,  0.976618,  0.976535,  0.976453,
+	 0.976370,  0.976287,  0.976204,  0.976120,  0.976037,  0.975954,  0.975870,  0.975786,
+	 0.975702,  0.975618,  0.975534,  0.975449,  0.975365,  0.975280,  0.975195,  0.975110,
+	 0.975025,  0.974940,  0.974855,  0.974769,  0.974684,  0.974598,  0.974512,  0.974426,
+	 0.974339,  0.974253,  0.974166,  0.974080,  0.973993,  0.973906,  0.973819,  0.973732,
+	 0.973644,  0.973557,  0.973469,  0.973381,  0.973293,  0.973205,  0.973117,  0.973028,
+	 0.972940,  0.972851,  0.972762,  0.972673,  0.972584,  0.972495,  0.972406,  0.972316,
+	 0.972227,  0.972137,  0.972047,  0.971957,  0.971866,  0.971776,  0.971685,  0.971595,
+	 0.971504,  0.971413,  0.971322,  0.971231,  0.971139,  0.971048,  0.970956,  0.970864,
+	 0.970772,  0.970680,  0.970588,  0.970495,  0.970403,  0.970310,  0.970217,  0.970124,
+	 0.970031,  0.969938,  0.969845,  0.969751,  0.969657,  0.969564,  0.969470,  0.969375,
+	 0.969281,  0.969187,  0.969092,  0.968998,  0.968903,  0.968808,  0.968713,  0.968617,
+	 0.968522,  0.968427,  0.968331,  0.968235,  0.968139,  0.968043,  0.967947,  0.967850,
+	 0.967754,  0.967657,  0.967560,  0.967463,  0.967366,  0.967269,  0.967172,  0.967074,
+	 0.966976,  0.966879,  0.966781,  0.966683,  0.966584,  0.966486,  0.966387,  0.966289,
+	 0.966190,  0.966091,  0.965992,  0.965893,  0.965793,  0.965694,  0.965594,  0.965494,
+	 0.965394,  0.965294,  0.965194,  0.965094,  0.964993,  0.964893,  0.964792,  0.964691,
+	 0.964590,  0.964489,  0.964387,  0.964286,  0.964184,  0.964082,  0.963980,  0.963878,
+	 0.963776,  0.963674,  0.963571,  0.963469,  0.963366,  0.963263,  0.963160,  0.963057,
+	 0.962953,  0.962850,  0.962746,  0.962642,  0.962538,  0.962434,  0.962330,  0.962226,
+	 0.962121,  0.962017,  0.961912,  0.961807,  0.961702,  0.961597,  0.961492,  0.961386,
+	 0.961280,  0.961175,  0.961069,  0.960963,  0.960857,  0.960750,  0.960644,  0.960537,
+	 0.960431,  0.960324,  0.960217,  0.960109,  0.960002,  0.959895,  0.959787,  0.959679,
+	 0.959572,  0.959463,  0.959355,  0.959247,  0.959139,  0.959030,  0.958921,  0.958812,
+	 0.958703,  0.958594,  0.958485,  0.958376,  0.958266,  0.958156,  0.958046,  0.957937,
+	 0.957826,  0.957716,  0.957606,  0.957495,  0.957385,  0.957274,  0.957163,  0.957052,
+	 0.956940,  0.956829,  0.956717,  0.956606,  0.956494,  0.956382,  0.956270,  0.956158,
+	 0.956045,  0.955933,  0.955820,  0.955707,  0.955594,  0.955481,  0.955368,  0.955255,
+	 0.955141,  0.955028,  0.954914,  0.954800,  0.954686,  0.954572,  0.954457,  0.954343,
+	 0.954228,  0.954113,  0.953998,  0.953883,  0.953768,  0.953653,  0.953537,  0.953422,
+	 0.953306,  0.953190,  0.953074,  0.952958,  0.952842,  0.952725,  0.952609,  0.952492,
+	 0.952375,  0.952258,  0.952141,  0.952024,  0.951906,  0.951789,  0.951671,  0.951553,
+	 0.951435,  0.951317,  0.951199,  0.951080,  0.950962,  0.950843,  0.950724,  0.950605,
+	 0.950486,  0.950367,  0.950247,  0.950128,  0.950008,  0.949888,  0.949768,  0.949648,
+	 0.949528,  0.949408,  0.949287,  0.949167,  0.949046,  0.948925,  0.948804,  0.948683,
+	 0.948561,  0.948440,  0.948318,  0.948196,  0.948075,  0.947953,  0.947830,  0.947708,
+	 0.947586,  0.947463,  0.947340,  0.947217,  0.947094,  0.946971,  0.946848,  0.946724,
+	 0.946601,  0.946477,  0.946353,  0.946229,  0.946105,  0.945981,  0.945857,  0.945732,
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+	 0.984748,  0.984815,  0.984882,  0.984948,  0.985014,  0.985080,  0.985146,  0.985212,
+	 0.985278,  0.985343,  0.985408,  0.985474,  0.985539,  0.985604,  0.985668,  0.985733,
+	 0.985798,  0.985862,  0.985926,  0.985990,  0.986054,  0.986118,  0.986181,  0.986245,
+	 0.986308,  0.986371,  0.986434,  0.986497,  0.986560,  0.986623,  0.986685,  0.986747,
+	 0.986809,  0.986871,  0.986933,  0.986995,  0.987057,  0.987118,  0.987179,  0.987240,
+	 0.987301,  0.987362,  0.987423,  0.987484,  0.987544,  0.987604,  0.987664,  0.987724,
+	 0.987784,  0.987844,  0.987903,  0.987963,  0.988022,  0.988081,  0.988140,  0.988199,
+	 0.988258,  0.988316,  0.988374,  0.988433,  0.988491,  0.988549,  0.988607,  0.988664,
+	 0.988722,  0.988779,  0.988836,  0.988893,  0.988950,  0.989007,  0.989064,  0.989120,
+	 0.989177,  0.989233,  0.989289,  0.989345,  0.989400,  0.989456,  0.989511,  0.989567,
+	 0.989622,  0.989677,  0.989732,  0.989787,  0.989841,  0.989896,  0.989950,  0.990004,
+	 0.990058,  0.990112,  0.990166,  0.990219,  0.990273,  0.990326,  0.990379,  0.990432,
+	 0.990485,  0.990538,  0.990590,  0.990643,  0.990695,  0.990747,  0.990799,  0.990851,
+	 0.990903,  0.990954,  0.991006,  0.991057,  0.991108,  0.991159,  0.991210,  0.991260,
+	 0.991311,  0.991361,  0.991411,  0.991462,  0.991511,  0.991561,  0.991611,  0.991660,
+	 0.991710,  0.991759,  0.991808,  0.991857,  0.991906,  0.991954,  0.992003,  0.992051,
+	 0.992099,  0.992147,  0.992195,  0.992243,  0.992291,  0.992338,  0.992385,  0.992433,
+	 0.992480,  0.992526,  0.992573,  0.992620,  0.992666,  0.992712,  0.992759,  0.992805,
+	 0.992850,  0.992896,  0.992942,  0.992987,  0.993032,  0.993077,  0.993122,  0.993167,
+	 0.993212,  0.993257,  0.993301,  0.993345,  0.993389,  0.993433,  0.993477,  0.993521,
+	 0.993564,  0.993608,  0.993651,  0.993694,  0.993737,  0.993779,  0.993822,  0.993865,
+	 0.993907,  0.993949,  0.993991,  0.994033,  0.994075,  0.994116,  0.994158,  0.994199,
+	 0.994240,  0.994281,  0.994322,  0.994363,  0.994404,  0.994444,  0.994484,  0.994525,
+	 0.994565,  0.994604,  0.994644,  0.994684,  0.994723,  0.994762,  0.994802,  0.994841,
+	 0.994879,  0.994918,  0.994957,  0.994995,  0.995033,  0.995071,  0.995109,  0.995147,
+	 0.995185,  0.995222,  0.995260,  0.995297,  0.995334,  0.995371,  0.995408,  0.995444,
+	 0.995481,  0.995517,  0.995553,  0.995589,  0.995625,  0.995661,  0.995697,  0.995732,
+	 0.995767,  0.995803,  0.995838,  0.995872,  0.995907,  0.995942,  0.995976,  0.996011,
+	 0.996045,  0.996079,  0.996113,  0.996146,  0.996180,  0.996213,  0.996247,  0.996280,
+	 0.996313,  0.996345,  0.996378,  0.996411,  0.996443,  0.996475,  0.996507,  0.996539,
+	 0.996571,  0.996603,  0.996634,  0.996666,  0.996697,  0.996728,  0.996759,  0.996790,
+	 0.996820,  0.996851,  0.996881,  0.996911,  0.996941,  0.996971,  0.997001,  0.997031,
+	 0.997060,  0.997089,  0.997119,  0.997148,  0.997176,  0.997205,  0.997234,  0.997262,
+	 0.997290,  0.997319,  0.997347,  0.997374,  0.997402,  0.997430,  0.997457,  0.997484,
+	 0.997511,  0.997538,  0.997565,  0.997592,  0.997618,  0.997645,  0.997671,  0.997697,
+	 0.997723,  0.997749,  0.997774,  0.997800,  0.997825,  0.997851,  0.997876,  0.997901,
+	 0.997925,  0.997950,  0.997974,  0.997999,  0.998023,  0.998047,  0.998071,  0.998094,
+	 0.998118,  0.998142,  0.998165,  0.998188,  0.998211,  0.998234,  0.998257,  0.998279,
+	 0.998302,  0.998324,  0.998346,  0.998368,  0.998390,  0.998411,  0.998433,  0.998454,
+	 0.998476,  0.998497,  0.998518,  0.998538,  0.998559,  0.998580,  0.998600,  0.998620,
+	 0.998640,  0.998660,  0.998680,  0.998700,  0.998719,  0.998738,  0.998758,  0.998777,
+	 0.998795,  0.998814,  0.998833,  0.998851,  0.998870,  0.998888,  0.998906,  0.998924,
+	 0.998941,  0.998959,  0.998976,  0.998994,  0.999011,  0.999028,  0.999044,  0.999061,
+	 0.999078,  0.999094,  0.999110,  0.999126,  0.999142,  0.999158,  0.999174,  0.999189,
+	 0.999205,  0.999220,  0.999235,  0.999250,  0.999265,  0.999279,  0.999294,  0.999308,
+	 0.999322,  0.999336,  0.999350,  0.999364,  0.999378,  0.999391,  0.999404,  0.999418,
+	 0.999431,  0.999443,  0.999456,  0.999469,  0.999481,  0.999493,  0.999506,  0.999518,
+	 0.999529,  0.999541,  0.999553,  0.999564,  0.999575,  0.999586,  0.999597,  0.999608,
+	 0.999619,  0.999629,  0.999640,  0.999650,  0.999660,  0.999670,  0.999680,  0.999689,
+	 0.999699,  0.999708,  0.999717,  0.999726,  0.999735,  0.999744,  0.999753,  0.999761,
+	 0.999769,  0.999778,  0.999786,  0.999793,  0.999801,  0.999809,  0.999816,  0.999823,
+	 0.999831,  0.999838,  0.999844,  0.999851,  0.999858,  0.999864,  0.999870,  0.999876,
+	 0.999882,  0.999888,  0.999894,  0.999899,  0.999905,  0.999910,  0.999915,  0.999920,
+	 0.999925,  0.999929,  0.999934,  0.999938,  0.999942,  0.999946,  0.999950,  0.999954,
+	 0.999958,  0.999961,  0.999964,  0.999968,  0.999971,  0.999973,  0.999976,  0.999979,
+	 0.999981,  0.999983,  0.999986,  0.999988,  0.999989,  0.999991,  0.999993,  0.999994,
+	 0.999995,  0.999996,  0.999997,  0.999998,  0.999999,  0.999999,  1.000000,  1.000000
+};
+
+static const float cosTable32768[16384] = {
+	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  0.999999,  0.999999,
+	 0.999999,  0.999999,  0.999998,  0.999998,  0.999997,  0.999997,  0.999996,  0.999996,
+	 0.999995,  0.999995,  0.999994,  0.999993,  0.999993,  0.999992,  0.999991,  0.999990,
+	 0.999989,  0.999988,  0.999988,  0.999987,  0.999986,  0.999985,  0.999983,  0.999982,
+	 0.999981,  0.999980,  0.999979,  0.999977,  0.999976,  0.999975,  0.999973,  0.999972,
+	 0.999971,  0.999969,  0.999968,  0.999966,  0.999964,  0.999963,  0.999961,  0.999959,
+	 0.999958,  0.999956,  0.999954,  0.999952,  0.999950,  0.999948,  0.999946,  0.999944,
+	 0.999942,  0.999940,  0.999938,  0.999936,  0.999934,  0.999932,  0.999929,  0.999927,
+	 0.999925,  0.999922,  0.999920,  0.999917,  0.999915,  0.999913,  0.999910,  0.999907,
+	 0.999905,  0.999902,  0.999899,  0.999897,  0.999894,  0.999891,  0.999888,  0.999885,
+	 0.999882,  0.999879,  0.999876,  0.999873,  0.999870,  0.999867,  0.999864,  0.999861,
+	 0.999858,  0.999854,  0.999851,  0.999848,  0.999844,  0.999841,  0.999838,  0.999834,
+	 0.999831,  0.999827,  0.999823,  0.999820,  0.999816,  0.999812,  0.999809,  0.999805,
+	 0.999801,  0.999797,  0.999793,  0.999790,  0.999786,  0.999782,  0.999778,  0.999774,
+	 0.999769,  0.999765,  0.999761,  0.999757,  0.999753,  0.999748,  0.999744,  0.999740,
+	 0.999735,  0.999731,  0.999726,  0.999722,  0.999717,  0.999713,  0.999708,  0.999704,
+	 0.999699,  0.999694,  0.999689,  0.999685,  0.999680,  0.999675,  0.999670,  0.999665,
+	 0.999660,  0.999655,  0.999650,  0.999645,  0.999640,  0.999635,  0.999629,  0.999624,
+	 0.999619,  0.999614,  0.999608,  0.999603,  0.999597,  0.999592,  0.999586,  0.999581,
+	 0.999575,  0.999570,  0.999564,  0.999558,  0.999553,  0.999547,  0.999541,  0.999535,
+	 0.999529,  0.999524,  0.999518,  0.999512,  0.999506,  0.999500,  0.999493,  0.999487,
+	 0.999481,  0.999475,  0.999469,  0.999462,  0.999456,  0.999450,  0.999443,  0.999437,
+	 0.999431,  0.999424,  0.999418,  0.999411,  0.999404,  0.999398,  0.999391,  0.999384,
+	 0.999378,  0.999371,  0.999364,  0.999357,  0.999350,  0.999343,  0.999336,  0.999329,
+	 0.999322,  0.999315,  0.999308,  0.999301,  0.999294,  0.999287,  0.999279,  0.999272,
+	 0.999265,  0.999257,  0.999250,  0.999243,  0.999235,  0.999228,  0.999220,  0.999212,
+	 0.999205,  0.999197,  0.999189,  0.999182,  0.999174,  0.999166,  0.999158,  0.999150,
+	 0.999142,  0.999134,  0.999126,  0.999118,  0.999110,  0.999102,  0.999094,  0.999086,
+	 0.999078,  0.999069,  0.999061,  0.999053,  0.999044,  0.999036,  0.999028,  0.999019,
+	 0.999011,  0.999002,  0.998994,  0.998985,  0.998976,  0.998968,  0.998959,  0.998950,
+	 0.998941,  0.998932,  0.998924,  0.998915,  0.998906,  0.998897,  0.998888,  0.998879,
+	 0.998870,  0.998860,  0.998851,  0.998842,  0.998833,  0.998824,  0.998814,  0.998805,
+	 0.998795,  0.998786,  0.998777,  0.998767,  0.998758,  0.998748,  0.998738,  0.998729,
+	 0.998719,  0.998709,  0.998700,  0.998690,  0.998680,  0.998670,  0.998660,  0.998650,
+	 0.998640,  0.998630,  0.998620,  0.998610,  0.998600,  0.998590,  0.998580,  0.998569,
+	 0.998559,  0.998549,  0.998538,  0.998528,  0.998518,  0.998507,  0.998497,  0.998486,
+	 0.998476,  0.998465,  0.998454,  0.998444,  0.998433,  0.998422,  0.998411,  0.998401,
+	 0.998390,  0.998379,  0.998368,  0.998357,  0.998346,  0.998335,  0.998324,  0.998313,
+	 0.998302,  0.998290,  0.998279,  0.998268,  0.998257,  0.998245,  0.998234,  0.998222,
+	 0.998211,  0.998200,  0.998188,  0.998176,  0.998165,  0.998153,  0.998142,  0.998130,
+	 0.998118,  0.998106,  0.998094,  0.998083,  0.998071,  0.998059,  0.998047,  0.998035,
+	 0.998023,  0.998011,  0.997999,  0.997987,  0.997974,  0.997962,  0.997950,  0.997938,
+	 0.997925,  0.997913,  0.997901,  0.997888,  0.997876,  0.997863,  0.997851,  0.997838,
+	 0.997825,  0.997813,  0.997800,  0.997787,  0.997774,  0.997762,  0.997749,  0.997736,
+	 0.997723,  0.997710,  0.997697,  0.997684,  0.997671,  0.997658,  0.997645,  0.997632,
+	 0.997618,  0.997605,  0.997592,  0.997579,  0.997565,  0.997552,  0.997538,  0.997525,
+	 0.997511,  0.997498,  0.997484,  0.997471,  0.997457,  0.997443,  0.997430,  0.997416,
+	 0.997402,  0.997388,  0.997374,  0.997361,  0.997347,  0.997333,  0.997319,  0.997305,
+	 0.997290,  0.997276,  0.997262,  0.997248,  0.997234,  0.997219,  0.997205,  0.997191,
+	 0.997176,  0.997162,  0.997148,  0.997133,  0.997119,  0.997104,  0.997089,  0.997075,
+	 0.997060,  0.997045,  0.997031,  0.997016,  0.997001,  0.996986,  0.996971,  0.996956,
+	 0.996941,  0.996926,  0.996911,  0.996896,  0.996881,  0.996866,  0.996851,  0.996836,
+	 0.996820,  0.996805,  0.996790,  0.996774,  0.996759,  0.996743,  0.996728,  0.996712,
+	 0.996697,  0.996681,  0.996666,  0.996650,  0.996634,  0.996619,  0.996603,  0.996587,
+	 0.996571,  0.996555,  0.996539,  0.996523,  0.996507,  0.996491,  0.996475,  0.996459,
+	 0.996443,  0.996427,  0.996411,  0.996394,  0.996378,  0.996362,  0.996345,  0.996329,
+	 0.996313,  0.996296,  0.996280,  0.996263,  0.996247,  0.996230,  0.996213,  0.996197,
+	 0.996180,  0.996163,  0.996146,  0.996129,  0.996113,  0.996096,  0.996079,  0.996062,
+	 0.996045,  0.996028,  0.996011,  0.995993,  0.995976,  0.995959,  0.995942,  0.995925,
+	 0.995907,  0.995890,  0.995872,  0.995855,  0.995838,  0.995820,  0.995803,  0.995785,
+	 0.995767,  0.995750,  0.995732,  0.995714,  0.995697,  0.995679,  0.995661,  0.995643,
+	 0.995625,  0.995607,  0.995589,  0.995571,  0.995553,  0.995535,  0.995517,  0.995499,
+	 0.995481,  0.995463,  0.995444,  0.995426,  0.995408,  0.995389,  0.995371,  0.995352,
+	 0.995334,  0.995315,  0.995297,  0.995278,  0.995260,  0.995241,  0.995222,  0.995203,
+	 0.995185,  0.995166,  0.995147,  0.995128,  0.995109,  0.995090,  0.995071,  0.995052,
+	 0.995033,  0.995014,  0.994995,  0.994976,  0.994957,  0.994937,  0.994918,  0.994899,
+	 0.994879,  0.994860,  0.994841,  0.994821,  0.994802,  0.994782,  0.994762,  0.994743,
+	 0.994723,  0.994703,  0.994684,  0.994664,  0.994644,  0.994624,  0.994604,  0.994585,
+	 0.994565,  0.994545,  0.994525,  0.994505,  0.994484,  0.994464,  0.994444,  0.994424,
+	 0.994404,  0.994383,  0.994363,  0.994343,  0.994322,  0.994302,  0.994281,  0.994261,
+	 0.994240,  0.994220,  0.994199,  0.994179,  0.994158,  0.994137,  0.994116,  0.994096,
+	 0.994075,  0.994054,  0.994033,  0.994012,  0.993991,  0.993970,  0.993949,  0.993928,
+	 0.993907,  0.993886,  0.993865,  0.993843,  0.993822,  0.993801,  0.993779,  0.993758,
+	 0.993737,  0.993715,  0.993694,  0.993672,  0.993651,  0.993629,  0.993608,  0.993586,
+	 0.993564,  0.993542,  0.993521,  0.993499,  0.993477,  0.993455,  0.993433,  0.993411,
+	 0.993389,  0.993367,  0.993345,  0.993323,  0.993301,  0.993279,  0.993257,  0.993234,
+	 0.993212,  0.993190,  0.993167,  0.993145,  0.993122,  0.993100,  0.993077,  0.993055,
+	 0.993032,  0.993010,  0.992987,  0.992964,  0.992942,  0.992919,  0.992896,  0.992873,
+	 0.992850,  0.992828,  0.992805,  0.992782,  0.992759,  0.992736,  0.992712,  0.992689,
+	 0.992666,  0.992643,  0.992620,  0.992596,  0.992573,  0.992550,  0.992526,  0.992503,
+	 0.992480,  0.992456,  0.992433,  0.992409,  0.992385,  0.992362,  0.992338,  0.992314,
+	 0.992291,  0.992267,  0.992243,  0.992219,  0.992195,  0.992171,  0.992147,  0.992123,
+	 0.992099,  0.992075,  0.992051,  0.992027,  0.992003,  0.991979,  0.991954,  0.991930,
+	 0.991906,  0.991881,  0.991857,  0.991832,  0.991808,  0.991783,  0.991759,  0.991734,
+	 0.991710,  0.991685,  0.991660,  0.991636,  0.991611,  0.991586,  0.991561,  0.991536,
+	 0.991511,  0.991487,  0.991462,  0.991437,  0.991411,  0.991386,  0.991361,  0.991336,
+	 0.991311,  0.991286,  0.991260,  0.991235,  0.991210,  0.991184,  0.991159,  0.991133,
+	 0.991108,  0.991082,  0.991057,  0.991031,  0.991006,  0.990980,  0.990954,  0.990928,
+	 0.990903,  0.990877,  0.990851,  0.990825,  0.990799,  0.990773,  0.990747,  0.990721,
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+	 0.988722,  0.988750,  0.988779,  0.988808,  0.988836,  0.988865,  0.988893,  0.988922,
+	 0.988950,  0.988979,  0.989007,  0.989035,  0.989064,  0.989092,  0.989120,  0.989148,
+	 0.989177,  0.989205,  0.989233,  0.989261,  0.989289,  0.989317,  0.989345,  0.989373,
+	 0.989400,  0.989428,  0.989456,  0.989484,  0.989511,  0.989539,  0.989567,  0.989594,
+	 0.989622,  0.989650,  0.989677,  0.989704,  0.989732,  0.989759,  0.989787,  0.989814,
+	 0.989841,  0.989869,  0.989896,  0.989923,  0.989950,  0.989977,  0.990004,  0.990031,
+	 0.990058,  0.990085,  0.990112,  0.990139,  0.990166,  0.990193,  0.990219,  0.990246,
+	 0.990273,  0.990299,  0.990326,  0.990353,  0.990379,  0.990406,  0.990432,  0.990459,
+	 0.990485,  0.990511,  0.990538,  0.990564,  0.990590,  0.990617,  0.990643,  0.990669,
+	 0.990695,  0.990721,  0.990747,  0.990773,  0.990799,  0.990825,  0.990851,  0.990877,
+	 0.990903,  0.990928,  0.990954,  0.990980,  0.991006,  0.991031,  0.991057,  0.991082,
+	 0.991108,  0.991133,  0.991159,  0.991184,  0.991210,  0.991235,  0.991260,  0.991286,
+	 0.991311,  0.991336,  0.991361,  0.991386,  0.991411,  0.991437,  0.991462,  0.991487,
+	 0.991511,  0.991536,  0.991561,  0.991586,  0.991611,  0.991636,  0.991660,  0.991685,
+	 0.991710,  0.991734,  0.991759,  0.991783,  0.991808,  0.991832,  0.991857,  0.991881,
+	 0.991906,  0.991930,  0.991954,  0.991979,  0.992003,  0.992027,  0.992051,  0.992075,
+	 0.992099,  0.992123,  0.992147,  0.992171,  0.992195,  0.992219,  0.992243,  0.992267,
+	 0.992291,  0.992314,  0.992338,  0.992362,  0.992385,  0.992409,  0.992433,  0.992456,
+	 0.992480,  0.992503,  0.992526,  0.992550,  0.992573,  0.992596,  0.992620,  0.992643,
+	 0.992666,  0.992689,  0.992712,  0.992736,  0.992759,  0.992782,  0.992805,  0.992828,
+	 0.992850,  0.992873,  0.992896,  0.992919,  0.992942,  0.992964,  0.992987,  0.993010,
+	 0.993032,  0.993055,  0.993077,  0.993100,  0.993122,  0.993145,  0.993167,  0.993190,
+	 0.993212,  0.993234,  0.993257,  0.993279,  0.993301,  0.993323,  0.993345,  0.993367,
+	 0.993389,  0.993411,  0.993433,  0.993455,  0.993477,  0.993499,  0.993521,  0.993542,
+	 0.993564,  0.993586,  0.993608,  0.993629,  0.993651,  0.993672,  0.993694,  0.993715,
+	 0.993737,  0.993758,  0.993779,  0.993801,  0.993822,  0.993843,  0.993865,  0.993886,
+	 0.993907,  0.993928,  0.993949,  0.993970,  0.993991,  0.994012,  0.994033,  0.994054,
+	 0.994075,  0.994096,  0.994116,  0.994137,  0.994158,  0.994179,  0.994199,  0.994220,
+	 0.994240,  0.994261,  0.994281,  0.994302,  0.994322,  0.994343,  0.994363,  0.994383,
+	 0.994404,  0.994424,  0.994444,  0.994464,  0.994484,  0.994505,  0.994525,  0.994545,
+	 0.994565,  0.994585,  0.994604,  0.994624,  0.994644,  0.994664,  0.994684,  0.994703,
+	 0.994723,  0.994743,  0.994762,  0.994782,  0.994802,  0.994821,  0.994841,  0.994860,
+	 0.994879,  0.994899,  0.994918,  0.994937,  0.994957,  0.994976,  0.994995,  0.995014,
+	 0.995033,  0.995052,  0.995071,  0.995090,  0.995109,  0.995128,  0.995147,  0.995166,
+	 0.995185,  0.995203,  0.995222,  0.995241,  0.995260,  0.995278,  0.995297,  0.995315,
+	 0.995334,  0.995352,  0.995371,  0.995389,  0.995408,  0.995426,  0.995444,  0.995463,
+	 0.995481,  0.995499,  0.995517,  0.995535,  0.995553,  0.995571,  0.995589,  0.995607,
+	 0.995625,  0.995643,  0.995661,  0.995679,  0.995697,  0.995714,  0.995732,  0.995750,
+	 0.995767,  0.995785,  0.995803,  0.995820,  0.995838,  0.995855,  0.995872,  0.995890,
+	 0.995907,  0.995925,  0.995942,  0.995959,  0.995976,  0.995993,  0.996011,  0.996028,
+	 0.996045,  0.996062,  0.996079,  0.996096,  0.996113,  0.996129,  0.996146,  0.996163,
+	 0.996180,  0.996197,  0.996213,  0.996230,  0.996247,  0.996263,  0.996280,  0.996296,
+	 0.996313,  0.996329,  0.996345,  0.996362,  0.996378,  0.996394,  0.996411,  0.996427,
+	 0.996443,  0.996459,  0.996475,  0.996491,  0.996507,  0.996523,  0.996539,  0.996555,
+	 0.996571,  0.996587,  0.996603,  0.996619,  0.996634,  0.996650,  0.996666,  0.996681,
+	 0.996697,  0.996712,  0.996728,  0.996743,  0.996759,  0.996774,  0.996790,  0.996805,
+	 0.996820,  0.996836,  0.996851,  0.996866,  0.996881,  0.996896,  0.996911,  0.996926,
+	 0.996941,  0.996956,  0.996971,  0.996986,  0.997001,  0.997016,  0.997031,  0.997045,
+	 0.997060,  0.997075,  0.997089,  0.997104,  0.997119,  0.997133,  0.997148,  0.997162,
+	 0.997176,  0.997191,  0.997205,  0.997219,  0.997234,  0.997248,  0.997262,  0.997276,
+	 0.997290,  0.997305,  0.997319,  0.997333,  0.997347,  0.997361,  0.997374,  0.997388,
+	 0.997402,  0.997416,  0.997430,  0.997443,  0.997457,  0.997471,  0.997484,  0.997498,
+	 0.997511,  0.997525,  0.997538,  0.997552,  0.997565,  0.997579,  0.997592,  0.997605,
+	 0.997618,  0.997632,  0.997645,  0.997658,  0.997671,  0.997684,  0.997697,  0.997710,
+	 0.997723,  0.997736,  0.997749,  0.997762,  0.997774,  0.997787,  0.997800,  0.997813,
+	 0.997825,  0.997838,  0.997851,  0.997863,  0.997876,  0.997888,  0.997901,  0.997913,
+	 0.997925,  0.997938,  0.997950,  0.997962,  0.997974,  0.997987,  0.997999,  0.998011,
+	 0.998023,  0.998035,  0.998047,  0.998059,  0.998071,  0.998083,  0.998094,  0.998106,
+	 0.998118,  0.998130,  0.998142,  0.998153,  0.998165,  0.998176,  0.998188,  0.998200,
+	 0.998211,  0.998222,  0.998234,  0.998245,  0.998257,  0.998268,  0.998279,  0.998290,
+	 0.998302,  0.998313,  0.998324,  0.998335,  0.998346,  0.998357,  0.998368,  0.998379,
+	 0.998390,  0.998401,  0.998411,  0.998422,  0.998433,  0.998444,  0.998454,  0.998465,
+	 0.998476,  0.998486,  0.998497,  0.998507,  0.998518,  0.998528,  0.998538,  0.998549,
+	 0.998559,  0.998569,  0.998580,  0.998590,  0.998600,  0.998610,  0.998620,  0.998630,
+	 0.998640,  0.998650,  0.998660,  0.998670,  0.998680,  0.998690,  0.998700,  0.998709,
+	 0.998719,  0.998729,  0.998738,  0.998748,  0.998758,  0.998767,  0.998777,  0.998786,
+	 0.998795,  0.998805,  0.998814,  0.998824,  0.998833,  0.998842,  0.998851,  0.998860,
+	 0.998870,  0.998879,  0.998888,  0.998897,  0.998906,  0.998915,  0.998924,  0.998932,
+	 0.998941,  0.998950,  0.998959,  0.998968,  0.998976,  0.998985,  0.998994,  0.999002,
+	 0.999011,  0.999019,  0.999028,  0.999036,  0.999044,  0.999053,  0.999061,  0.999069,
+	 0.999078,  0.999086,  0.999094,  0.999102,  0.999110,  0.999118,  0.999126,  0.999134,
+	 0.999142,  0.999150,  0.999158,  0.999166,  0.999174,  0.999182,  0.999189,  0.999197,
+	 0.999205,  0.999212,  0.999220,  0.999228,  0.999235,  0.999243,  0.999250,  0.999257,
+	 0.999265,  0.999272,  0.999279,  0.999287,  0.999294,  0.999301,  0.999308,  0.999315,
+	 0.999322,  0.999329,  0.999336,  0.999343,  0.999350,  0.999357,  0.999364,  0.999371,
+	 0.999378,  0.999384,  0.999391,  0.999398,  0.999404,  0.999411,  0.999418,  0.999424,
+	 0.999431,  0.999437,  0.999443,  0.999450,  0.999456,  0.999462,  0.999469,  0.999475,
+	 0.999481,  0.999487,  0.999493,  0.999500,  0.999506,  0.999512,  0.999518,  0.999524,
+	 0.999529,  0.999535,  0.999541,  0.999547,  0.999553,  0.999558,  0.999564,  0.999570,
+	 0.999575,  0.999581,  0.999586,  0.999592,  0.999597,  0.999603,  0.999608,  0.999614,
+	 0.999619,  0.999624,  0.999629,  0.999635,  0.999640,  0.999645,  0.999650,  0.999655,
+	 0.999660,  0.999665,  0.999670,  0.999675,  0.999680,  0.999685,  0.999689,  0.999694,
+	 0.999699,  0.999704,  0.999708,  0.999713,  0.999717,  0.999722,  0.999726,  0.999731,
+	 0.999735,  0.999740,  0.999744,  0.999748,  0.999753,  0.999757,  0.999761,  0.999765,
+	 0.999769,  0.999774,  0.999778,  0.999782,  0.999786,  0.999790,  0.999793,  0.999797,
+	 0.999801,  0.999805,  0.999809,  0.999812,  0.999816,  0.999820,  0.999823,  0.999827,
+	 0.999831,  0.999834,  0.999838,  0.999841,  0.999844,  0.999848,  0.999851,  0.999854,
+	 0.999858,  0.999861,  0.999864,  0.999867,  0.999870,  0.999873,  0.999876,  0.999879,
+	 0.999882,  0.999885,  0.999888,  0.999891,  0.999894,  0.999897,  0.999899,  0.999902,
+	 0.999905,  0.999907,  0.999910,  0.999913,  0.999915,  0.999917,  0.999920,  0.999922,
+	 0.999925,  0.999927,  0.999929,  0.999932,  0.999934,  0.999936,  0.999938,  0.999940,
+	 0.999942,  0.999944,  0.999946,  0.999948,  0.999950,  0.999952,  0.999954,  0.999956,
+	 0.999958,  0.999959,  0.999961,  0.999963,  0.999964,  0.999966,  0.999968,  0.999969,
+	 0.999971,  0.999972,  0.999973,  0.999975,  0.999976,  0.999977,  0.999979,  0.999980,
+	 0.999981,  0.999982,  0.999983,  0.999985,  0.999986,  0.999987,  0.999988,  0.999988,
+	 0.999989,  0.999990,  0.999991,  0.999992,  0.999993,  0.999993,  0.999994,  0.999995,
+	 0.999995,  0.999996,  0.999996,  0.999997,  0.999997,  0.999998,  0.999998,  0.999999,
+	 0.999999,  0.999999,  0.999999,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000
+};
+
+static const float cosTable65536[32768] = {
+	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,
+	 1.000000,  1.000000,  1.000000,  0.999999,  0.999999,  0.999999,  0.999999,  0.999999,
+	 0.999999,  0.999999,  0.999999,  0.999998,  0.999998,  0.999998,  0.999998,  0.999998,
+	 0.999997,  0.999997,  0.999997,  0.999997,  0.999996,  0.999996,  0.999996,  0.999996,
+	 0.999995,  0.999995,  0.999995,  0.999994,  0.999994,  0.999994,  0.999993,  0.999993,
+	 0.999993,  0.999992,  0.999992,  0.999991,  0.999991,  0.999991,  0.999990,  0.999990,
+	 0.999989,  0.999989,  0.999988,  0.999988,  0.999988,  0.999987,  0.999987,  0.999986,
+	 0.999986,  0.999985,  0.999985,  0.999984,  0.999983,  0.999983,  0.999982,  0.999982,
+	 0.999981,  0.999981,  0.999980,  0.999979,  0.999979,  0.999978,  0.999977,  0.999977,
+	 0.999976,  0.999976,  0.999975,  0.999974,  0.999973,  0.999973,  0.999972,  0.999971,
+	 0.999971,  0.999970,  0.999969,  0.999968,  0.999968,  0.999967,  0.999966,  0.999965,
+	 0.999964,  0.999964,  0.999963,  0.999962,  0.999961,  0.999960,  0.999959,  0.999959,
+	 0.999958,  0.999957,  0.999956,  0.999955,  0.999954,  0.999953,  0.999952,  0.999951,
+	 0.999950,  0.999949,  0.999948,  0.999947,  0.999946,  0.999945,  0.999944,  0.999943,
+	 0.999942,  0.999941,  0.999940,  0.999939,  0.999938,  0.999937,  0.999936,  0.999935,
+	 0.999934,  0.999933,  0.999932,  0.999930,  0.999929,  0.999928,  0.999927,  0.999926,
+	 0.999925,  0.999924,  0.999922,  0.999921,  0.999920,  0.999919,  0.999917,  0.999916,
+	 0.999915,  0.999914,  0.999913,  0.999911,  0.999910,  0.999909,  0.999907,  0.999906,
+	 0.999905,  0.999903,  0.999902,  0.999901,  0.999899,  0.999898,  0.999897,  0.999895,
+	 0.999894,  0.999892,  0.999891,  0.999890,  0.999888,  0.999887,  0.999885,  0.999884,
+	 0.999882,  0.999881,  0.999879,  0.999878,  0.999876,  0.999875,  0.999873,  0.999872,
+	 0.999870,  0.999869,  0.999867,  0.999866,  0.999864,  0.999862,  0.999861,  0.999859,
+	 0.999858,  0.999856,  0.999854,  0.999853,  0.999851,  0.999849,  0.999848,  0.999846,
+	 0.999844,  0.999843,  0.999841,  0.999839,  0.999838,  0.999836,  0.999834,  0.999832,
+	 0.999831,  0.999829,  0.999827,  0.999825,  0.999823,  0.999822,  0.999820,  0.999818,
+	 0.999816,  0.999814,  0.999812,  0.999811,  0.999809,  0.999807,  0.999805,  0.999803,
+	 0.999801,  0.999799,  0.999797,  0.999795,  0.999793,  0.999792,  0.999790,  0.999788,
+	 0.999786,  0.999784,  0.999782,  0.999780,  0.999778,  0.999776,  0.999774,  0.999771,
+	 0.999769,  0.999767,  0.999765,  0.999763,  0.999761,  0.999759,  0.999757,  0.999755,
+	 0.999753,  0.999750,  0.999748,  0.999746,  0.999744,  0.999742,  0.999740,  0.999738,
+	 0.999735,  0.999733,  0.999731,  0.999729,  0.999726,  0.999724,  0.999722,  0.999720,
+	 0.999717,  0.999715,  0.999713,  0.999710,  0.999708,  0.999706,  0.999704,  0.999701,
+	 0.999699,  0.999696,  0.999694,  0.999692,  0.999689,  0.999687,  0.999685,  0.999682,
+	 0.999680,  0.999677,  0.999675,  0.999672,  0.999670,  0.999667,  0.999665,  0.999663,
+	 0.999660,  0.999658,  0.999655,  0.999652,  0.999650,  0.999647,  0.999645,  0.999642,
+	 0.999640,  0.999637,  0.999635,  0.999632,  0.999629,  0.999627,  0.999624,  0.999621,
+	 0.999619,  0.999616,  0.999614,  0.999611,  0.999608,  0.999605,  0.999603,  0.999600,
+	 0.999597,  0.999595,  0.999592,  0.999589,  0.999586,  0.999584,  0.999581,  0.999578,
+	 0.999575,  0.999573,  0.999570,  0.999567,  0.999564,  0.999561,  0.999558,  0.999556,
+	 0.999553,  0.999550,  0.999547,  0.999544,  0.999541,  0.999538,  0.999535,  0.999532,
+	 0.999529,  0.999527,  0.999524,  0.999521,  0.999518,  0.999515,  0.999512,  0.999509,
+	 0.999506,  0.999503,  0.999500,  0.999497,  0.999493,  0.999490,  0.999487,  0.999484,
+	 0.999481,  0.999478,  0.999475,  0.999472,  0.999469,  0.999466,  0.999462,  0.999459,
+	 0.999456,  0.999453,  0.999450,  0.999447,  0.999443,  0.999440,  0.999437,  0.999434,
+	 0.999431,  0.999427,  0.999424,  0.999421,  0.999418,  0.999414,  0.999411,  0.999408,
+	 0.999404,  0.999401,  0.999398,  0.999394,  0.999391,  0.999388,  0.999384,  0.999381,
+	 0.999378,  0.999374,  0.999371,  0.999367,  0.999364,  0.999361,  0.999357,  0.999354,
+	 0.999350,  0.999347,  0.999343,  0.999340,  0.999336,  0.999333,  0.999329,  0.999326,
+	 0.999322,  0.999319,  0.999315,  0.999312,  0.999308,  0.999305,  0.999301,  0.999297,
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+	 0.999575,  0.999578,  0.999581,  0.999584,  0.999586,  0.999589,  0.999592,  0.999595,
+	 0.999597,  0.999600,  0.999603,  0.999605,  0.999608,  0.999611,  0.999614,  0.999616,
+	 0.999619,  0.999621,  0.999624,  0.999627,  0.999629,  0.999632,  0.999635,  0.999637,
+	 0.999640,  0.999642,  0.999645,  0.999647,  0.999650,  0.999652,  0.999655,  0.999658,
+	 0.999660,  0.999663,  0.999665,  0.999667,  0.999670,  0.999672,  0.999675,  0.999677,
+	 0.999680,  0.999682,  0.999685,  0.999687,  0.999689,  0.999692,  0.999694,  0.999696,
+	 0.999699,  0.999701,  0.999704,  0.999706,  0.999708,  0.999710,  0.999713,  0.999715,
+	 0.999717,  0.999720,  0.999722,  0.999724,  0.999726,  0.999729,  0.999731,  0.999733,
+	 0.999735,  0.999738,  0.999740,  0.999742,  0.999744,  0.999746,  0.999748,  0.999750,
+	 0.999753,  0.999755,  0.999757,  0.999759,  0.999761,  0.999763,  0.999765,  0.999767,
+	 0.999769,  0.999771,  0.999774,  0.999776,  0.999778,  0.999780,  0.999782,  0.999784,
+	 0.999786,  0.999788,  0.999790,  0.999792,  0.999793,  0.999795,  0.999797,  0.999799,
+	 0.999801,  0.999803,  0.999805,  0.999807,  0.999809,  0.999811,  0.999812,  0.999814,
+	 0.999816,  0.999818,  0.999820,  0.999822,  0.999823,  0.999825,  0.999827,  0.999829,
+	 0.999831,  0.999832,  0.999834,  0.999836,  0.999838,  0.999839,  0.999841,  0.999843,
+	 0.999844,  0.999846,  0.999848,  0.999849,  0.999851,  0.999853,  0.999854,  0.999856,
+	 0.999858,  0.999859,  0.999861,  0.999862,  0.999864,  0.999866,  0.999867,  0.999869,
+	 0.999870,  0.999872,  0.999873,  0.999875,  0.999876,  0.999878,  0.999879,  0.999881,
+	 0.999882,  0.999884,  0.999885,  0.999887,  0.999888,  0.999890,  0.999891,  0.999892,
+	 0.999894,  0.999895,  0.999897,  0.999898,  0.999899,  0.999901,  0.999902,  0.999903,
+	 0.999905,  0.999906,  0.999907,  0.999909,  0.999910,  0.999911,  0.999913,  0.999914,
+	 0.999915,  0.999916,  0.999917,  0.999919,  0.999920,  0.999921,  0.999922,  0.999924,
+	 0.999925,  0.999926,  0.999927,  0.999928,  0.999929,  0.999930,  0.999932,  0.999933,
+	 0.999934,  0.999935,  0.999936,  0.999937,  0.999938,  0.999939,  0.999940,  0.999941,
+	 0.999942,  0.999943,  0.999944,  0.999945,  0.999946,  0.999947,  0.999948,  0.999949,
+	 0.999950,  0.999951,  0.999952,  0.999953,  0.999954,  0.999955,  0.999956,  0.999957,
+	 0.999958,  0.999959,  0.999959,  0.999960,  0.999961,  0.999962,  0.999963,  0.999964,
+	 0.999964,  0.999965,  0.999966,  0.999967,  0.999968,  0.999968,  0.999969,  0.999970,
+	 0.999971,  0.999971,  0.999972,  0.999973,  0.999973,  0.999974,  0.999975,  0.999976,
+	 0.999976,  0.999977,  0.999977,  0.999978,  0.999979,  0.999979,  0.999980,  0.999981,
+	 0.999981,  0.999982,  0.999982,  0.999983,  0.999983,  0.999984,  0.999985,  0.999985,
+	 0.999986,  0.999986,  0.999987,  0.999987,  0.999988,  0.999988,  0.999988,  0.999989,
+	 0.999989,  0.999990,  0.999990,  0.999991,  0.999991,  0.999991,  0.999992,  0.999992,
+	 0.999993,  0.999993,  0.999993,  0.999994,  0.999994,  0.999994,  0.999995,  0.999995,
+	 0.999995,  0.999996,  0.999996,  0.999996,  0.999996,  0.999997,  0.999997,  0.999997,
+	 0.999997,  0.999998,  0.999998,  0.999998,  0.999998,  0.999998,  0.999999,  0.999999,
+	 0.999999,  0.999999,  0.999999,  0.999999,  0.999999,  0.999999,  1.000000,  1.000000,
+	 1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000,  1.000000
+};
+
+static const float *cosTables[17] = {
+	0           , 0           , 0            , 0            ,
+	cosTable16  , cosTable32  , cosTable64   , cosTable128  ,
+	cosTable256 , cosTable512 , cosTable1024 , cosTable2048 ,
+	cosTable4096, cosTable8192, cosTable16384, cosTable32768,
+	cosTable65536
+};
+
+const float *getCosineTable(int bits) {
+	assert((bits >= 4) && (bits <= 16));
+
+	return cosTables[bits];
+}
+
+} // End of namespace Common
diff --git a/common/cosinetables.h b/common/cosinetables.h
index 362445b..5744d21 100644
--- a/common/cosinetables.h
+++ b/common/cosinetables.h
@@ -20,8250 +20,17 @@
  *
  */
 
-// Based on eos' cosine tables
-
 #ifndef COMMON_COSINETABLES_H
 #define COMMON_COSINETABLES_H
 
 namespace Common {
 
-static const float cosTable16[8] = {
-	 1.000000,  0.923880,  0.707107,  0.382683,  0.000000,  0.382683,  0.707107,  0.923880
-};
-
-static const float cosTable32[16] = {
-	 1.000000,  0.980785,  0.923880,  0.831470,  0.707107,  0.555570,  0.382683,  0.195090,
-	 0.000000,  0.195090,  0.382683,  0.555570,  0.707107,  0.831470,  0.923880,  0.980785
-};
-
-static const float cosTable64[32] = {
-	 1.000000,  0.995185,  0.980785,  0.956940,  0.923880,  0.881921,  0.831470,  0.773010,
-	 0.707107,  0.634393,  0.555570,  0.471397,  0.382683,  0.290285,  0.195090,  0.098017,
-	 0.000000,  0.098017,  0.195090,  0.290285,  0.382683,  0.471397,  0.555570,  0.634393,
-	 0.707107,  0.773010,  0.831470,  0.881921,  0.923880,  0.956940,  0.980785,  0.995185
-};
-
-static const float cosTable128[64] = {
-	 1.000000,  0.998795,  0.995185,  0.989177,  0.980785,  0.970031,  0.956940,  0.941544,
-	 0.923880,  0.903989,  0.881921,  0.857729,  0.831470,  0.803208,  0.773010,  0.740951,
-	 0.707107,  0.671559,  0.634393,  0.595699,  0.555570,  0.514103,  0.471397,  0.427555,
-	 0.382683,  0.336890,  0.290285,  0.242980,  0.195090,  0.146730,  0.098017,  0.049068,
-	 0.000000,  0.049068,  0.098017,  0.146730,  0.195090,  0.242980,  0.290285,  0.336890,
-	 0.382683,  0.427555,  0.471397,  0.514103,  0.555570,  0.595699,  0.634393,  0.671559,
-	 0.707107,  0.740951,  0.773010,  0.803208,  0.831470,  0.857729,  0.881921,  0.903989,
-	 0.923880,  0.941544,  0.956940,  0.970031,  0.980785,  0.989177,  0.995185,  0.998795
-};
-
-static const float cosTable256[128] = {
-	 1.000000,  0.999699,  0.998795,  0.997290,  0.995185,  0.992480,  0.989177,  0.985278,
-	 0.980785,  0.975702,  0.970031,  0.963776,  0.956940,  0.949528,  0.941544,  0.932993,
-	 0.923880,  0.914210,  0.903989,  0.893224,  0.881921,  0.870087,  0.857729,  0.844854,
-	 0.831470,  0.817585,  0.803208,  0.788346,  0.773010,  0.757209,  0.740951,  0.724247,
-	 0.707107,  0.689541,  0.671559,  0.653173,  0.634393,  0.615232,  0.595699,  0.575808,
-	 0.555570,  0.534998,  0.514103,  0.492898,  0.471397,  0.449611,  0.427555,  0.405241,
-	 0.382683,  0.359895,  0.336890,  0.313682,  0.290285,  0.266713,  0.242980,  0.219101,
-	 0.195090,  0.170962,  0.146730,  0.122411,  0.098017,  0.073565,  0.049068,  0.024541,
-	 0.000000,  0.024541,  0.049068,  0.073565,  0.098017,  0.122411,  0.146730,  0.170962,
-	 0.195090,  0.219101,  0.242980,  0.266713,  0.290285,  0.313682,  0.336890,  0.359895,
-	 0.382683,  0.405241,  0.427555,  0.449611,  0.471397,  0.492898,  0.514103,  0.534998,
-	 0.555570,  0.575808,  0.595699,  0.615232,  0.634393,  0.653173,  0.671559,  0.689541,
-	 0.707107,  0.724247,  0.740951,  0.757209,  0.773010,  0.788346,  0.803208,  0.817585,
-	 0.831470,  0.844854,  0.857729,  0.870087,  0.881921,  0.893224,  0.903989,  0.914210,
-	 0.923880,  0.932993,  0.941544,  0.949528,  0.956940,  0.963776,  0.970031,  0.975702,
-	 0.980785,  0.985278,  0.989177,  0.992480,  0.995185,  0.997290,  0.998795,  0.999699
-};
-
-static const float cosTable512[256] = {
-	 1.000000,  0.999925,  0.999699,  0.999322,  0.998795,  0.998118,  0.997290,  0.996313,
-	 0.995185,  0.993907,  0.992480,  0.990903,  0.989177,  0.987301,  0.985278,  0.983105,
-	 0.980785,  0.978317,  0.975702,  0.972940,  0.970031,  0.966976,  0.963776,  0.960431,
-	 0.956940,  0.953306,  0.949528,  0.945607,  0.941544,  0.937339,  0.932993,  0.928506,
-	 0.923880,  0.919114,  0.914210,  0.909168,  0.903989,  0.898674,  0.893224,  0.887640,
-	 0.881921,  0.876070,  0.870087,  0.863973,  0.857729,  0.851355,  0.844854,  0.838225,
-	 0.831470,  0.824589,  0.817585,  0.810457,  0.803208,  0.795837,  0.788346,  0.780737,
-	 0.773010,  0.765167,  0.757209,  0.749136,  0.740951,  0.732654,  0.724247,  0.715731,
-	 0.707107,  0.698376,  0.689541,  0.680601,  0.671559,  0.662416,  0.653173,  0.643832,
-	 0.634393,  0.624860,  0.615232,  0.605511,  0.595699,  0.585798,  0.575808,  0.565732,
-	 0.555570,  0.545325,  0.534998,  0.524590,  0.514103,  0.503538,  0.492898,  0.482184,
-	 0.471397,  0.460539,  0.449611,  0.438616,  0.427555,  0.416430,  0.405241,  0.393992,
-	 0.382683,  0.371317,  0.359895,  0.348419,  0.336890,  0.325310,  0.313682,  0.302006,
-	 0.290285,  0.278520,  0.266713,  0.254866,  0.242980,  0.231058,  0.219101,  0.207111,
-	 0.195090,  0.183040,  0.170962,  0.158858,  0.146730,  0.134581,  0.122411,  0.110222,
-	 0.098017,  0.085797,  0.073565,  0.061321,  0.049068,  0.036807,  0.024541,  0.012272,
-	 0.000000,  0.012272,  0.024541,  0.036807,  0.049068,  0.061321,  0.073565,  0.085797,
-	 0.098017,  0.110222,  0.122411,  0.134581,  0.146730,  0.158858,  0.170962,  0.183040,
-	 0.195090,  0.207111,  0.219101,  0.231058,  0.242980,  0.254866,  0.266713,  0.278520,
-	 0.290285,  0.302006,  0.313682,  0.325310,  0.336890,  0.348419,  0.359895,  0.371317,
-	 0.382683,  0.393992,  0.405241,  0.416430,  0.427555,  0.438616,  0.449611,  0.460539,
-	 0.471397,  0.482184,  0.492898,  0.503538,  0.514103,  0.524590,  0.534998,  0.545325,
-	 0.555570,  0.565732,  0.575808,  0.585798,  0.595699,  0.605511,  0.615232,  0.624860,
-	 0.634393,  0.643832,  0.653173,  0.662416,  0.671559,  0.680601,  0.689541,  0.698376,
-	 0.707107,  0.715731,  0.724247,  0.732654,  0.740951,  0.749136,  0.757209,  0.765167,
-	 0.773010,  0.780737,  0.788346,  0.795837,  0.803208,  0.810457,  0.817585,  0.824589,
-	 0.831470,  0.838225,  0.844854,  0.851355,  0.857729,  0.863973,  0.870087,  0.876070,
-	 0.881921,  0.887640,  0.893224,  0.898674,  0.903989,  0.909168,  0.914210,  0.919114,
-	 0.923880,  0.928506,  0.932993,  0.937339,  0.941544,  0.945607,  0.949528,  0.953306,
-	 0.956940,  0.960431,  0.963776,  0.966976,  0.970031,  0.972940,  0.975702,  0.978317,
-	 0.980785,  0.983105,  0.985278,  0.987301,  0.989177,  0.990903,  0.992480,  0.993907,
-	 0.995185,  0.996313,  0.997290,  0.998118,  0.998795,  0.999322,  0.999699,  0.999925
-};
-
-static const float cosTable1024[512] = {
-	 1.000000,  0.999981,  0.999925,  0.999831,  0.999699,  0.999529,  0.999322,  0.999078,
-	 0.998795,  0.998476,  0.998118,  0.997723,  0.997290,  0.996820,  0.996313,  0.995767,
-	 0.995185,  0.994565,  0.993907,  0.993212,  0.992480,  0.991710,  0.990903,  0.990058,
-	 0.989177,  0.988258,  0.987301,  0.986308,  0.985278,  0.984210,  0.983105,  0.981964,
-	 0.980785,  0.979570,  0.978317,  0.977028,  0.975702,  0.974339,  0.972940,  0.971504,
-	 0.970031,  0.968522,  0.966976,  0.965394,  0.963776,  0.962121,  0.960431,  0.958703,
-	 0.956940,  0.955141,  0.953306,  0.951435,  0.949528,  0.947586,  0.945607,  0.943593,
-	 0.941544,  0.939459,  0.937339,  0.935184,  0.932993,  0.930767,  0.928506,  0.926210,
-	 0.923880,  0.921514,  0.919114,  0.916679,  0.914210,  0.911706,  0.909168,  0.906596,
-	 0.903989,  0.901349,  0.898674,  0.895966,  0.893224,  0.890449,  0.887640,  0.884797,
-	 0.881921,  0.879012,  0.876070,  0.873095,  0.870087,  0.867046,  0.863973,  0.860867,
-	 0.857729,  0.854558,  0.851355,  0.848120,  0.844854,  0.841555,  0.838225,  0.834863,
-	 0.831470,  0.828045,  0.824589,  0.821102,  0.817585,  0.814036,  0.810457,  0.806848,
-	 0.803208,  0.799537,  0.795837,  0.792107,  0.788346,  0.784557,  0.780737,  0.776888,
-	 0.773010,  0.769103,  0.765167,  0.761202,  0.757209,  0.753187,  0.749136,  0.745058,
-	 0.740951,  0.736817,  0.732654,  0.728464,  0.724247,  0.720003,  0.715731,  0.711432,
-	 0.707107,  0.702755,  0.698376,  0.693971,  0.689541,  0.685084,  0.680601,  0.676093,
-	 0.671559,  0.667000,  0.662416,  0.657807,  0.653173,  0.648514,  0.643832,  0.639124,
-	 0.634393,  0.629638,  0.624860,  0.620057,  0.615232,  0.610383,  0.605511,  0.600616,
-	 0.595699,  0.590760,  0.585798,  0.580814,  0.575808,  0.570781,  0.565732,  0.560662,
-	 0.555570,  0.550458,  0.545325,  0.540171,  0.534998,  0.529804,  0.524590,  0.519356,
-	 0.514103,  0.508830,  0.503538,  0.498228,  0.492898,  0.487550,  0.482184,  0.476799,
-	 0.471397,  0.465977,  0.460539,  0.455084,  0.449611,  0.444122,  0.438616,  0.433094,
-	 0.427555,  0.422000,  0.416430,  0.410843,  0.405241,  0.399624,  0.393992,  0.388345,
-	 0.382683,  0.377007,  0.371317,  0.365613,  0.359895,  0.354164,  0.348419,  0.342661,
-	 0.336890,  0.331106,  0.325310,  0.319502,  0.313682,  0.307850,  0.302006,  0.296151,
-	 0.290285,  0.284408,  0.278520,  0.272621,  0.266713,  0.260794,  0.254866,  0.248928,
-	 0.242980,  0.237024,  0.231058,  0.225084,  0.219101,  0.213110,  0.207111,  0.201105,
-	 0.195090,  0.189069,  0.183040,  0.177004,  0.170962,  0.164913,  0.158858,  0.152797,
-	 0.146730,  0.140658,  0.134581,  0.128498,  0.122411,  0.116319,  0.110222,  0.104122,
-	 0.098017,  0.091909,  0.085797,  0.079682,  0.073565,  0.067444,  0.061321,  0.055195,
-	 0.049068,  0.042938,  0.036807,  0.030675,  0.024541,  0.018407,  0.012272,  0.006136,
-	 0.000000,  0.006136,  0.012272,  0.018407,  0.024541,  0.030675,  0.036807,  0.042938,
-	 0.049068,  0.055195,  0.061321,  0.067444,  0.073565,  0.079682,  0.085797,  0.091909,
-	 0.098017,  0.104122,  0.110222,  0.116319,  0.122411,  0.128498,  0.134581,  0.140658,
-	 0.146730,  0.152797,  0.158858,  0.164913,  0.170962,  0.177004,  0.183040,  0.189069,
-	 0.195090,  0.201105,  0.207111,  0.213110,  0.219101,  0.225084,  0.231058,  0.237024,
-	 0.242980,  0.248928,  0.254866,  0.260794,  0.266713,  0.272621,  0.278520,  0.284408,
-	 0.290285,  0.296151,  0.302006,  0.307850,  0.313682,  0.319502,  0.325310,  0.331106,
-	 0.336890,  0.342661,  0.348419,  0.354164,  0.359895,  0.365613,  0.371317,  0.377007,
-	 0.382683,  0.388345,  0.393992,  0.399624,  0.405241,  0.410843,  0.416430,  0.422000,
-	 0.427555,  0.433094,  0.438616,  0.444122,  0.449611,  0.455084,  0.460539,  0.465977,
-	 0.471397,  0.476799,  0.482184,  0.487550,  0.492898,  0.498228,  0.503538,  0.508830,
-	 0.514103,  0.519356,  0.524590,  0.529804,  0.534998,  0.540171,  0.545325,  0.550458,
-	 0.555570,  0.560662,  0.565732,  0.570781,  0.575808,  0.580814,  0.585798,  0.590760,
-	 0.595699,  0.600616,  0.605511,  0.610383,  0.615232,  0.620057,  0.624860,  0.629638,
-	 0.634393,  0.639124,  0.643832,  0.648514,  0.653173,  0.657807,  0.662416,  0.667000,
-	 0.671559,  0.676093,  0.680601,  0.685084,  0.689541,  0.693971,  0.698376,  0.702755,
-	 0.707107,  0.711432,  0.715731,  0.720003,  0.724247,  0.728464,  0.732654,  0.736817,
-	 0.740951,  0.745058,  0.749136,  0.753187,  0.757209,  0.761202,  0.765167,  0.769103,
-	 0.773010,  0.776888,  0.780737,  0.784557,  0.788346,  0.792107,  0.795837,  0.799537,
-	 0.803208,  0.806848,  0.810457,  0.814036,  0.817585,  0.821102,  0.824589,  0.828045,
-	 0.831470,  0.834863,  0.838225,  0.841555,  0.844854,  0.848120,  0.851355,  0.854558,
-	 0.857729,  0.860867,  0.863973,  0.867046,  0.870087,  0.873095,  0.876070,  0.879012,
-	 0.881921,  0.884797,  0.887640,  0.890449,  0.893224,  0.895966,  0.898674,  0.901349,
-	 0.903989,  0.906596,  0.909168,  0.911706,  0.914210,  0.916679,  0.919114,  0.921514,
-	 0.923880,  0.926210,  0.928506,  0.930767,  0.932993,  0.935184,  0.937339,  0.939459,
-	 0.941544,  0.943593,  0.945607,  0.947586,  0.949528,  0.951435,  0.953306,  0.955141,
-	 0.956940,  0.958703,  0.960431,  0.962121,  0.963776,  0.965394,  0.966976,  0.968522,
-	 0.970031,  0.971504,  0.972940,  0.974339,  0.975702,  0.977028,  0.978317,  0.979570,
-	 0.980785,  0.981964,  0.983105,  0.984210,  0.985278,  0.986308,  0.987301,  0.988258,
-	 0.989177,  0.990058,  0.990903,  0.991710,  0.992480,  0.993212,  0.993907,  0.994565,
-	 0.995185,  0.995767,  0.996313,  0.996820,  0.997290,  0.997723,  0.998118,  0.998476,
-	 0.998795,  0.999078,  0.999322,  0.999529,  0.999699,  0.999831,  0.999925,  0.999981
-};
-
-static const float cosTable2048[1024] = {
-	 1.000000,  0.999995,  0.999981,  0.999958,  0.999925,  0.999882,  0.999831,  0.999769,
-	 0.999699,  0.999619,  0.999529,  0.999431,  0.999322,  0.999205,  0.999078,  0.998941,
-	 0.998795,  0.998640,  0.998476,  0.998302,  0.998118,  0.997925,  0.997723,  0.997511,
-	 0.997290,  0.997060,  0.996820,  0.996571,  0.996313,  0.996045,  0.995767,  0.995481,
-	 0.995185,  0.994879,  0.994565,  0.994240,  0.993907,  0.993564,  0.993212,  0.992850,
-	 0.992480,  0.992099,  0.991710,  0.991311,  0.990903,  0.990485,  0.990058,  0.989622,
-	 0.989177,  0.988722,  0.988258,  0.987784,  0.987301,  0.986809,  0.986308,  0.985798,
-	 0.985278,  0.984748,  0.984210,  0.983662,  0.983105,  0.982539,  0.981964,  0.981379,
-	 0.980785,  0.980182,  0.979570,  0.978948,  0.978317,  0.977677,  0.977028,  0.976370,
-	 0.975702,  0.975025,  0.974339,  0.973644,  0.972940,  0.972227,  0.971504,  0.970772,
-	 0.970031,  0.969281,  0.968522,  0.967754,  0.966976,  0.966190,  0.965394,  0.964590,
-	 0.963776,  0.962953,  0.962121,  0.961280,  0.960431,  0.959572,  0.958703,  0.957826,
-	 0.956940,  0.956045,  0.955141,  0.954228,  0.953306,  0.952375,  0.951435,  0.950486,
-	 0.949528,  0.948561,  0.947586,  0.946601,  0.945607,  0.944605,  0.943593,  0.942573,
-	 0.941544,  0.940506,  0.939459,  0.938404,  0.937339,  0.936266,  0.935184,  0.934093,
-	 0.932993,  0.931884,  0.930767,  0.929641,  0.928506,  0.927363,  0.926210,  0.925049,
-	 0.923880,  0.922701,  0.921514,  0.920318,  0.919114,  0.917901,  0.916679,  0.915449,
-	 0.914210,  0.912962,  0.911706,  0.910441,  0.909168,  0.907886,  0.906596,  0.905297,
-	 0.903989,  0.902673,  0.901349,  0.900016,  0.898674,  0.897325,  0.895966,  0.894599,
-	 0.893224,  0.891841,  0.890449,  0.889048,  0.887640,  0.886223,  0.884797,  0.883363,
-	 0.881921,  0.880471,  0.879012,  0.877545,  0.876070,  0.874587,  0.873095,  0.871595,
-	 0.870087,  0.868571,  0.867046,  0.865514,  0.863973,  0.862424,  0.860867,  0.859302,
-	 0.857729,  0.856147,  0.854558,  0.852961,  0.851355,  0.849742,  0.848120,  0.846491,
-	 0.844854,  0.843208,  0.841555,  0.839894,  0.838225,  0.836548,  0.834863,  0.833170,
-	 0.831470,  0.829761,  0.828045,  0.826321,  0.824589,  0.822850,  0.821102,  0.819348,
-	 0.817585,  0.815814,  0.814036,  0.812251,  0.810457,  0.808656,  0.806848,  0.805031,
-	 0.803208,  0.801376,  0.799537,  0.797691,  0.795837,  0.793975,  0.792107,  0.790230,
-	 0.788346,  0.786455,  0.784557,  0.782651,  0.780737,  0.778817,  0.776888,  0.774953,
-	 0.773010,  0.771061,  0.769103,  0.767139,  0.765167,  0.763188,  0.761202,  0.759209,
-	 0.757209,  0.755201,  0.753187,  0.751165,  0.749136,  0.747101,  0.745058,  0.743008,
-	 0.740951,  0.738887,  0.736817,  0.734739,  0.732654,  0.730563,  0.728464,  0.726359,
-	 0.724247,  0.722128,  0.720003,  0.717870,  0.715731,  0.713585,  0.711432,  0.709273,
-	 0.707107,  0.704934,  0.702755,  0.700569,  0.698376,  0.696177,  0.693971,  0.691759,
-	 0.689541,  0.687315,  0.685084,  0.682846,  0.680601,  0.678350,  0.676093,  0.673829,
-	 0.671559,  0.669283,  0.667000,  0.664711,  0.662416,  0.660114,  0.657807,  0.655493,
-	 0.653173,  0.650847,  0.648514,  0.646176,  0.643832,  0.641481,  0.639124,  0.636762,
-	 0.634393,  0.632019,  0.629638,  0.627252,  0.624860,  0.622461,  0.620057,  0.617647,
-	 0.615232,  0.612810,  0.610383,  0.607950,  0.605511,  0.603067,  0.600616,  0.598161,
-	 0.595699,  0.593232,  0.590760,  0.588282,  0.585798,  0.583309,  0.580814,  0.578314,
-	 0.575808,  0.573297,  0.570781,  0.568259,  0.565732,  0.563199,  0.560662,  0.558119,
-	 0.555570,  0.553017,  0.550458,  0.547894,  0.545325,  0.542751,  0.540171,  0.537587,
-	 0.534998,  0.532403,  0.529804,  0.527199,  0.524590,  0.521975,  0.519356,  0.516732,
-	 0.514103,  0.511469,  0.508830,  0.506187,  0.503538,  0.500885,  0.498228,  0.495565,
-	 0.492898,  0.490226,  0.487550,  0.484869,  0.482184,  0.479494,  0.476799,  0.474100,
-	 0.471397,  0.468689,  0.465977,  0.463260,  0.460539,  0.457813,  0.455084,  0.452350,
-	 0.449611,  0.446869,  0.444122,  0.441371,  0.438616,  0.435857,  0.433094,  0.430326,
-	 0.427555,  0.424780,  0.422000,  0.419217,  0.416430,  0.413638,  0.410843,  0.408044,
-	 0.405241,  0.402435,  0.399624,  0.396810,  0.393992,  0.391170,  0.388345,  0.385516,
-	 0.382683,  0.379847,  0.377007,  0.374164,  0.371317,  0.368467,  0.365613,  0.362756,
-	 0.359895,  0.357031,  0.354164,  0.351293,  0.348419,  0.345541,  0.342661,  0.339777,
-	 0.336890,  0.334000,  0.331106,  0.328210,  0.325310,  0.322408,  0.319502,  0.316593,
-	 0.313682,  0.310767,  0.307850,  0.304929,  0.302006,  0.299080,  0.296151,  0.293219,
-	 0.290285,  0.287347,  0.284408,  0.281465,  0.278520,  0.275572,  0.272621,  0.269668,
-	 0.266713,  0.263755,  0.260794,  0.257831,  0.254866,  0.251898,  0.248928,  0.245955,
-	 0.242980,  0.240003,  0.237024,  0.234042,  0.231058,  0.228072,  0.225084,  0.222094,
-	 0.219101,  0.216107,  0.213110,  0.210112,  0.207111,  0.204109,  0.201105,  0.198098,
-	 0.195090,  0.192080,  0.189069,  0.186055,  0.183040,  0.180023,  0.177004,  0.173984,
-	 0.170962,  0.167938,  0.164913,  0.161886,  0.158858,  0.155828,  0.152797,  0.149765,
-	 0.146730,  0.143695,  0.140658,  0.137620,  0.134581,  0.131540,  0.128498,  0.125455,
-	 0.122411,  0.119365,  0.116319,  0.113271,  0.110222,  0.107172,  0.104122,  0.101070,
-	 0.098017,  0.094963,  0.091909,  0.088854,  0.085797,  0.082740,  0.079682,  0.076624,
-	 0.073565,  0.070505,  0.067444,  0.064383,  0.061321,  0.058258,  0.055195,  0.052132,
-	 0.049068,  0.046003,  0.042938,  0.039873,  0.036807,  0.033741,  0.030675,  0.027608,
-	 0.024541,  0.021474,  0.018407,  0.015339,  0.012272,  0.009204,  0.006136,  0.003068,
-	 0.000000,  0.003068,  0.006136,  0.009204,  0.012272,  0.015339,  0.018407,  0.021474,
-	 0.024541,  0.027608,  0.030675,  0.033741,  0.036807,  0.039873,  0.042938,  0.046003,
-	 0.049068,  0.052132,  0.055195,  0.058258,  0.061321,  0.064383,  0.067444,  0.070505,
-	 0.073565,  0.076624,  0.079682,  0.082740,  0.085797,  0.088854,  0.091909,  0.094963,
-	 0.098017,  0.101070,  0.104122,  0.107172,  0.110222,  0.113271,  0.116319,  0.119365,
-	 0.122411,  0.125455,  0.128498,  0.131540,  0.134581,  0.137620,  0.140658,  0.143695,
-	 0.146730,  0.149765,  0.152797,  0.155828,  0.158858,  0.161886,  0.164913,  0.167938,
-	 0.170962,  0.173984,  0.177004,  0.180023,  0.183040,  0.186055,  0.189069,  0.192080,
-	 0.195090,  0.198098,  0.201105,  0.204109,  0.207111,  0.210112,  0.213110,  0.216107,
-	 0.219101,  0.222094,  0.225084,  0.228072,  0.231058,  0.234042,  0.237024,  0.240003,
-	 0.242980,  0.245955,  0.248928,  0.251898,  0.254866,  0.257831,  0.260794,  0.263755,
-	 0.266713,  0.269668,  0.272621,  0.275572,  0.278520,  0.281465,  0.284408,  0.287347,
-	 0.290285,  0.293219,  0.296151,  0.299080,  0.302006,  0.304929,  0.307850,  0.310767,
-	 0.313682,  0.316593,  0.319502,  0.322408,  0.325310,  0.328210,  0.331106,  0.334000,
-	 0.336890,  0.339777,  0.342661,  0.345541,  0.348419,  0.351293,  0.354164,  0.357031,
-	 0.359895,  0.362756,  0.365613,  0.368467,  0.371317,  0.374164,  0.377007,  0.379847,
-	 0.382683,  0.385516,  0.388345,  0.391170,  0.393992,  0.396810,  0.399624,  0.402435,
-	 0.405241,  0.408044,  0.410843,  0.413638,  0.416430,  0.419217,  0.422000,  0.424780,
-	 0.427555,  0.430326,  0.433094,  0.435857,  0.438616,  0.441371,  0.444122,  0.446869,
-	 0.449611,  0.452350,  0.455084,  0.457813,  0.460539,  0.463260,  0.465977,  0.468689,
-	 0.471397,  0.474100,  0.476799,  0.479494,  0.482184,  0.484869,  0.487550,  0.490226,
-	 0.492898,  0.495565,  0.498228,  0.500885,  0.503538,  0.506187,  0.508830,  0.511469,
-	 0.514103,  0.516732,  0.519356,  0.521975,  0.524590,  0.527199,  0.529804,  0.532403,
-	 0.534998,  0.537587,  0.540171,  0.542751,  0.545325,  0.547894,  0.550458,  0.553017,
-	 0.555570,  0.558119,  0.560662,  0.563199,  0.565732,  0.568259,  0.570781,  0.573297,
-	 0.575808,  0.578314,  0.580814,  0.583309,  0.585798,  0.588282,  0.590760,  0.593232,
-	 0.595699,  0.598161,  0.600616,  0.603067,  0.605511,  0.607950,  0.610383,  0.612810,
-	 0.615232,  0.617647,  0.620057,  0.622461,  0.624860,  0.627252,  0.629638,  0.632019,
-	 0.634393,  0.636762,  0.639124,  0.641481,  0.643832,  0.646176,  0.648514,  0.650847,
-	 0.653173,  0.655493,  0.657807,  0.660114,  0.662416,  0.664711,  0.667000,  0.669283,
-	 0.671559,  0.673829,  0.676093,  0.678350,  0.680601,  0.682846,  0.685084,  0.687315,
-	 0.689541,  0.691759,  0.693971,  0.696177,  0.698376,  0.700569,  0.702755,  0.704934,
-	 0.707107,  0.709273,  0.711432,  0.713585,  0.715731,  0.717870,  0.720003,  0.722128,
-	 0.724247,  0.726359,  0.728464,  0.730563,  0.732654,  0.734739,  0.736817,  0.738887,
-	 0.740951,  0.743008,  0.745058,  0.747101,  0.749136,  0.751165,  0.753187,  0.755201,
-	 0.757209,  0.759209,  0.761202,  0.763188,  0.765167,  0.767139,  0.769103,  0.771061,
-	 0.773010,  0.774953,  0.776888,  0.778817,  0.780737,  0.782651,  0.784557,  0.786455,
-	 0.788346,  0.790230,  0.792107,  0.793975,  0.795837,  0.797691,  0.799537,  0.801376,
-	 0.803208,  0.805031,  0.806848,  0.808656,  0.810457,  0.812251,  0.814036,  0.815814,
-	 0.817585,  0.819348,  0.821102,  0.822850,  0.824589,  0.826321,  0.828045,  0.829761,
-	 0.831470,  0.833170,  0.834863,  0.836548,  0.838225,  0.839894,  0.841555,  0.843208,
-	 0.844854,  0.846491,  0.848120,  0.849742,  0.851355,  0.852961,  0.854558,  0.856147,
-	 0.857729,  0.859302,  0.860867,  0.862424,  0.863973,  0.865514,  0.867046,  0.868571,
-	 0.870087,  0.871595,  0.873095,  0.874587,  0.876070,  0.877545,  0.879012,  0.880471,
-	 0.881921,  0.883363,  0.884797,  0.886223,  0.887640,  0.889048,  0.890449,  0.891841,
-	 0.893224,  0.894599,  0.895966,  0.897325,  0.898674,  0.900016,  0.901349,  0.902673,
-	 0.903989,  0.905297,  0.906596,  0.907886,  0.909168,  0.910441,  0.911706,  0.912962,
-	 0.914210,  0.915449,  0.916679,  0.917901,  0.919114,  0.920318,  0.921514,  0.922701,
-	 0.923880,  0.925049,  0.926210,  0.927363,  0.928506,  0.929641,  0.930767,  0.931884,
-	 0.932993,  0.934093,  0.935184,  0.936266,  0.937339,  0.938404,  0.939459,  0.940506,
-	 0.941544,  0.942573,  0.943593,  0.944605,  0.945607,  0.946601,  0.947586,  0.948561,
-	 0.949528,  0.950486,  0.951435,  0.952375,  0.953306,  0.954228,  0.955141,  0.956045,
-	 0.956940,  0.957826,  0.958703,  0.959572,  0.960431,  0.961280,  0.962121,  0.962953,
-	 0.963776,  0.964590,  0.965394,  0.966190,  0.966976,  0.967754,  0.968522,  0.969281,
-	 0.970031,  0.970772,  0.971504,  0.972227,  0.972940,  0.973644,  0.974339,  0.975025,
-	 0.975702,  0.976370,  0.977028,  0.977677,  0.978317,  0.978948,  0.979570,  0.980182,
-	 0.980785,  0.981379,  0.981964,  0.982539,  0.983105,  0.983662,  0.984210,  0.984748,
-	 0.985278,  0.985798,  0.986308,  0.986809,  0.987301,  0.987784,  0.988258,  0.988722,
-	 0.989177,  0.989622,  0.990058,  0.990485,  0.990903,  0.991311,  0.991710,  0.992099,
-	 0.992480,  0.992850,  0.993212,  0.993564,  0.993907,  0.994240,  0.994565,  0.994879,
-	 0.995185,  0.995481,  0.995767,  0.996045,  0.996313,  0.996571,  0.996820,  0.997060,
-	 0.997290,  0.997511,  0.997723,  0.997925,  0.998118,  0.998302,  0.998476,  0.998640,
-	 0.998795,  0.998941,  0.999078,  0.999205,  0.999322,  0.999431,  0.999529,  0.999619,
-	 0.999699,  0.999769,  0.999831,  0.999882,  0.999925,  0.999958,  0.999981,  0.999995
-};
-
-static const float cosTable4096[2048] = {
-	 1.000000,  0.999999,  0.999995,  0.999989,  0.999981,  0.999971,  0.999958,  0.999942,
-	 0.999925,  0.999905,  0.999882,  0.999858,  0.999831,  0.999801,  0.999769,  0.999735,
-	 0.999699,  0.999660,  0.999619,  0.999575,  0.999529,  0.999481,  0.999431,  0.999378,
-	 0.999322,  0.999265,  0.999205,  0.999142,  0.999078,  0.999011,  0.998941,  0.998870,
-	 0.998795,  0.998719,  0.998640,  0.998559,  0.998476,  0.998390,  0.998302,  0.998211,
-	 0.998118,  0.998023,  0.997925,  0.997825,  0.997723,  0.997618,  0.997511,  0.997402,
-	 0.997290,  0.997176,  0.997060,  0.996941,  0.996820,  0.996697,  0.996571,  0.996443,
-	 0.996313,  0.996180,  0.996045,  0.995907,  0.995767,  0.995625,  0.995481,  0.995334,
-	 0.995185,  0.995033,  0.994879,  0.994723,  0.994565,  0.994404,  0.994240,  0.994075,
-	 0.993907,  0.993737,  0.993564,  0.993389,  0.993212,  0.993032,  0.992850,  0.992666,
-	 0.992480,  0.992291,  0.992099,  0.991906,  0.991710,  0.991511,  0.991311,  0.991108,
-	 0.990903,  0.990695,  0.990485,  0.990273,  0.990058,  0.989841,  0.989622,  0.989400,
-	 0.989177,  0.988950,  0.988722,  0.988491,  0.988258,  0.988022,  0.987784,  0.987544,
-	 0.987301,  0.987057,  0.986809,  0.986560,  0.986308,  0.986054,  0.985798,  0.985539,
-	 0.985278,  0.985014,  0.984748,  0.984480,  0.984210,  0.983937,  0.983662,  0.983385,
-	 0.983105,  0.982824,  0.982539,  0.982253,  0.981964,  0.981673,  0.981379,  0.981083,
-	 0.980785,  0.980485,  0.980182,  0.979877,  0.979570,  0.979260,  0.978948,  0.978634,
-	 0.978317,  0.977998,  0.977677,  0.977354,  0.977028,  0.976700,  0.976370,  0.976037,
-	 0.975702,  0.975365,  0.975025,  0.974684,  0.974339,  0.973993,  0.973644,  0.973293,
-	 0.972940,  0.972584,  0.972227,  0.971866,  0.971504,  0.971139,  0.970772,  0.970403,
-	 0.970031,  0.969657,  0.969281,  0.968903,  0.968522,  0.968139,  0.967754,  0.967366,
-	 0.966976,  0.966584,  0.966190,  0.965793,  0.965394,  0.964993,  0.964590,  0.964184,
-	 0.963776,  0.963366,  0.962953,  0.962538,  0.962121,  0.961702,  0.961280,  0.960857,
-	 0.960431,  0.960002,  0.959572,  0.959139,  0.958703,  0.958266,  0.957826,  0.957385,
-	 0.956940,  0.956494,  0.956045,  0.955594,  0.955141,  0.954686,  0.954228,  0.953768,
-	 0.953306,  0.952842,  0.952375,  0.951906,  0.951435,  0.950962,  0.950486,  0.950008,
-	 0.949528,  0.949046,  0.948561,  0.948075,  0.947586,  0.947094,  0.946601,  0.946105,
-	 0.945607,  0.945107,  0.944605,  0.944100,  0.943593,  0.943084,  0.942573,  0.942060,
-	 0.941544,  0.941026,  0.940506,  0.939984,  0.939459,  0.938932,  0.938404,  0.937872,
-	 0.937339,  0.936803,  0.936266,  0.935726,  0.935184,  0.934639,  0.934093,  0.933544,
-	 0.932993,  0.932440,  0.931884,  0.931327,  0.930767,  0.930205,  0.929641,  0.929075,
-	 0.928506,  0.927935,  0.927363,  0.926787,  0.926210,  0.925631,  0.925049,  0.924465,
-	 0.923880,  0.923291,  0.922701,  0.922109,  0.921514,  0.920917,  0.920318,  0.919717,
-	 0.919114,  0.918508,  0.917901,  0.917291,  0.916679,  0.916065,  0.915449,  0.914830,
-	 0.914210,  0.913587,  0.912962,  0.912335,  0.911706,  0.911075,  0.910441,  0.909806,
-	 0.909168,  0.908528,  0.907886,  0.907242,  0.906596,  0.905947,  0.905297,  0.904644,
-	 0.903989,  0.903332,  0.902673,  0.902012,  0.901349,  0.900683,  0.900016,  0.899346,
-	 0.898674,  0.898001,  0.897325,  0.896646,  0.895966,  0.895284,  0.894599,  0.893913,
-	 0.893224,  0.892534,  0.891841,  0.891146,  0.890449,  0.889750,  0.889048,  0.888345,
-	 0.887640,  0.886932,  0.886223,  0.885511,  0.884797,  0.884081,  0.883363,  0.882643,
-	 0.881921,  0.881197,  0.880471,  0.879743,  0.879012,  0.878280,  0.877545,  0.876809,
-	 0.876070,  0.875329,  0.874587,  0.873842,  0.873095,  0.872346,  0.871595,  0.870842,
-	 0.870087,  0.869330,  0.868571,  0.867809,  0.867046,  0.866281,  0.865514,  0.864744,
-	 0.863973,  0.863199,  0.862424,  0.861646,  0.860867,  0.860085,  0.859302,  0.858516,
-	 0.857729,  0.856939,  0.856147,  0.855354,  0.854558,  0.853760,  0.852961,  0.852159,
-	 0.851355,  0.850549,  0.849742,  0.848932,  0.848120,  0.847307,  0.846491,  0.845673,
-	 0.844854,  0.844032,  0.843208,  0.842383,  0.841555,  0.840725,  0.839894,  0.839060,
-	 0.838225,  0.837387,  0.836548,  0.835706,  0.834863,  0.834018,  0.833170,  0.832321,
-	 0.831470,  0.830616,  0.829761,  0.828904,  0.828045,  0.827184,  0.826321,  0.825456,
-	 0.824589,  0.823721,  0.822850,  0.821977,  0.821102,  0.820226,  0.819348,  0.818467,
-	 0.817585,  0.816701,  0.815814,  0.814926,  0.814036,  0.813144,  0.812251,  0.811355,
-	 0.810457,  0.809558,  0.808656,  0.807753,  0.806848,  0.805940,  0.805031,  0.804120,
-	 0.803208,  0.802293,  0.801376,  0.800458,  0.799537,  0.798615,  0.797691,  0.796765,
-	 0.795837,  0.794907,  0.793975,  0.793042,  0.792107,  0.791169,  0.790230,  0.789289,
-	 0.788346,  0.787402,  0.786455,  0.785507,  0.784557,  0.783605,  0.782651,  0.781695,
-	 0.780737,  0.779778,  0.778817,  0.777853,  0.776888,  0.775922,  0.774953,  0.773983,
-	 0.773010,  0.772036,  0.771061,  0.770083,  0.769103,  0.768122,  0.767139,  0.766154,
-	 0.765167,  0.764179,  0.763188,  0.762196,  0.761202,  0.760207,  0.759209,  0.758210,
-	 0.757209,  0.756206,  0.755201,  0.754195,  0.753187,  0.752177,  0.751165,  0.750152,
-	 0.749136,  0.748119,  0.747101,  0.746080,  0.745058,  0.744034,  0.743008,  0.741980,
-	 0.740951,  0.739920,  0.738887,  0.737853,  0.736817,  0.735779,  0.734739,  0.733697,
-	 0.732654,  0.731609,  0.730563,  0.729514,  0.728464,  0.727413,  0.726359,  0.725304,
-	 0.724247,  0.723188,  0.722128,  0.721066,  0.720003,  0.718937,  0.717870,  0.716801,
-	 0.715731,  0.714659,  0.713585,  0.712509,  0.711432,  0.710353,  0.709273,  0.708191,
-	 0.707107,  0.706021,  0.704934,  0.703845,  0.702755,  0.701663,  0.700569,  0.699473,
-	 0.698376,  0.697277,  0.696177,  0.695075,  0.693971,  0.692866,  0.691759,  0.690651,
-	 0.689541,  0.688429,  0.687315,  0.686200,  0.685084,  0.683965,  0.682846,  0.681724,
-	 0.680601,  0.679476,  0.678350,  0.677222,  0.676093,  0.674962,  0.673829,  0.672695,
-	 0.671559,  0.670422,  0.669283,  0.668142,  0.667000,  0.665856,  0.664711,  0.663564,
-	 0.662416,  0.661266,  0.660114,  0.658961,  0.657807,  0.656651,  0.655493,  0.654334,
-	 0.653173,  0.652011,  0.650847,  0.649681,  0.648514,  0.647346,  0.646176,  0.645005,
-	 0.643832,  0.642657,  0.641481,  0.640303,  0.639124,  0.637944,  0.636762,  0.635578,
-	 0.634393,  0.633207,  0.632019,  0.630829,  0.629638,  0.628446,  0.627252,  0.626056,
-	 0.624860,  0.623661,  0.622461,  0.621260,  0.620057,  0.618853,  0.617647,  0.616440,
-	 0.615232,  0.614022,  0.612810,  0.611597,  0.610383,  0.609167,  0.607950,  0.606731,
-	 0.605511,  0.604290,  0.603067,  0.601842,  0.600616,  0.599389,  0.598161,  0.596931,
-	 0.595699,  0.594467,  0.593232,  0.591997,  0.590760,  0.589521,  0.588282,  0.587040,
-	 0.585798,  0.584554,  0.583309,  0.582062,  0.580814,  0.579565,  0.578314,  0.577062,
-	 0.575808,  0.574553,  0.573297,  0.572040,  0.570781,  0.569521,  0.568259,  0.566996,
-	 0.565732,  0.564466,  0.563199,  0.561931,  0.560662,  0.559391,  0.558119,  0.556845,
-	 0.555570,  0.554294,  0.553017,  0.551738,  0.550458,  0.549177,  0.547894,  0.546610,
-	 0.545325,  0.544039,  0.542751,  0.541462,  0.540171,  0.538880,  0.537587,  0.536293,
-	 0.534998,  0.533701,  0.532403,  0.531104,  0.529804,  0.528502,  0.527199,  0.525895,
-	 0.524590,  0.523283,  0.521975,  0.520666,  0.519356,  0.518045,  0.516732,  0.515418,
-	 0.514103,  0.512786,  0.511469,  0.510150,  0.508830,  0.507509,  0.506187,  0.504863,
-	 0.503538,  0.502212,  0.500885,  0.499557,  0.498228,  0.496897,  0.495565,  0.494232,
-	 0.492898,  0.491563,  0.490226,  0.488889,  0.487550,  0.486210,  0.484869,  0.483527,
-	 0.482184,  0.480839,  0.479494,  0.478147,  0.476799,  0.475450,  0.474100,  0.472749,
-	 0.471397,  0.470043,  0.468689,  0.467333,  0.465977,  0.464619,  0.463260,  0.461900,
-	 0.460539,  0.459177,  0.457813,  0.456449,  0.455084,  0.453717,  0.452350,  0.450981,
-	 0.449611,  0.448241,  0.446869,  0.445496,  0.444122,  0.442747,  0.441371,  0.439994,
-	 0.438616,  0.437237,  0.435857,  0.434476,  0.433094,  0.431711,  0.430326,  0.428941,
-	 0.427555,  0.426168,  0.424780,  0.423390,  0.422000,  0.420609,  0.419217,  0.417824,
-	 0.416430,  0.415034,  0.413638,  0.412241,  0.410843,  0.409444,  0.408044,  0.406643,
-	 0.405241,  0.403838,  0.402435,  0.401030,  0.399624,  0.398218,  0.396810,  0.395401,
-	 0.393992,  0.392582,  0.391170,  0.389758,  0.388345,  0.386931,  0.385516,  0.384100,
-	 0.382683,  0.381266,  0.379847,  0.378428,  0.377007,  0.375586,  0.374164,  0.372741,
-	 0.371317,  0.369892,  0.368467,  0.367040,  0.365613,  0.364185,  0.362756,  0.361326,
-	 0.359895,  0.358463,  0.357031,  0.355598,  0.354164,  0.352729,  0.351293,  0.349856,
-	 0.348419,  0.346980,  0.345541,  0.344101,  0.342661,  0.341219,  0.339777,  0.338334,
-	 0.336890,  0.335445,  0.334000,  0.332553,  0.331106,  0.329658,  0.328210,  0.326760,
-	 0.325310,  0.323859,  0.322408,  0.320955,  0.319502,  0.318048,  0.316593,  0.315138,
-	 0.313682,  0.312225,  0.310767,  0.309309,  0.307850,  0.306390,  0.304929,  0.303468,
-	 0.302006,  0.300543,  0.299080,  0.297616,  0.296151,  0.294685,  0.293219,  0.291752,
-	 0.290285,  0.288816,  0.287347,  0.285878,  0.284408,  0.282937,  0.281465,  0.279993,
-	 0.278520,  0.277046,  0.275572,  0.274097,  0.272621,  0.271145,  0.269668,  0.268191,
-	 0.266713,  0.265234,  0.263755,  0.262275,  0.260794,  0.259313,  0.257831,  0.256349,
-	 0.254866,  0.253382,  0.251898,  0.250413,  0.248928,  0.247442,  0.245955,  0.244468,
-	 0.242980,  0.241492,  0.240003,  0.238514,  0.237024,  0.235533,  0.234042,  0.232550,
-	 0.231058,  0.229565,  0.228072,  0.226578,  0.225084,  0.223589,  0.222094,  0.220598,
-	 0.219101,  0.217604,  0.216107,  0.214609,  0.213110,  0.211611,  0.210112,  0.208612,
-	 0.207111,  0.205610,  0.204109,  0.202607,  0.201105,  0.199602,  0.198098,  0.196595,
-	 0.195090,  0.193586,  0.192080,  0.190575,  0.189069,  0.187562,  0.186055,  0.184548,
-	 0.183040,  0.181532,  0.180023,  0.178514,  0.177004,  0.175494,  0.173984,  0.172473,
-	 0.170962,  0.169450,  0.167938,  0.166426,  0.164913,  0.163400,  0.161886,  0.160372,
-	 0.158858,  0.157343,  0.155828,  0.154313,  0.152797,  0.151281,  0.149765,  0.148248,
-	 0.146730,  0.145213,  0.143695,  0.142177,  0.140658,  0.139139,  0.137620,  0.136101,
-	 0.134581,  0.133061,  0.131540,  0.130019,  0.128498,  0.126977,  0.125455,  0.123933,
-	 0.122411,  0.120888,  0.119365,  0.117842,  0.116319,  0.114795,  0.113271,  0.111747,
-	 0.110222,  0.108697,  0.107172,  0.105647,  0.104122,  0.102596,  0.101070,  0.099544,
-	 0.098017,  0.096490,  0.094963,  0.093436,  0.091909,  0.090381,  0.088854,  0.087326,
-	 0.085797,  0.084269,  0.082740,  0.081211,  0.079682,  0.078153,  0.076624,  0.075094,
-	 0.073565,  0.072035,  0.070505,  0.068974,  0.067444,  0.065913,  0.064383,  0.062852,
-	 0.061321,  0.059790,  0.058258,  0.056727,  0.055195,  0.053664,  0.052132,  0.050600,
-	 0.049068,  0.047535,  0.046003,  0.044471,  0.042938,  0.041406,  0.039873,  0.038340,
-	 0.036807,  0.035274,  0.033741,  0.032208,  0.030675,  0.029142,  0.027608,  0.026075,
-	 0.024541,  0.023008,  0.021474,  0.019940,  0.018407,  0.016873,  0.015339,  0.013805,
-	 0.012272,  0.010738,  0.009204,  0.007670,  0.006136,  0.004602,  0.003068,  0.001534,
-	 0.000000,  0.001534,  0.003068,  0.004602,  0.006136,  0.007670,  0.009204,  0.010738,
-	 0.012272,  0.013805,  0.015339,  0.016873,  0.018407,  0.019940,  0.021474,  0.023008,
-	 0.024541,  0.026075,  0.027608,  0.029142,  0.030675,  0.032208,  0.033741,  0.035274,
-	 0.036807,  0.038340,  0.039873,  0.041406,  0.042938,  0.044471,  0.046003,  0.047535,
-	 0.049068,  0.050600,  0.052132,  0.053664,  0.055195,  0.056727,  0.058258,  0.059790,
-	 0.061321,  0.062852,  0.064383,  0.065913,  0.067444,  0.068974,  0.070505,  0.072035,
-	 0.073565,  0.075094,  0.076624,  0.078153,  0.079682,  0.081211,  0.082740,  0.084269,
-	 0.085797,  0.087326,  0.088854,  0.090381,  0.091909,  0.093436,  0.094963,  0.096490,
-	 0.098017,  0.099544,  0.101070,  0.102596,  0.104122,  0.105647,  0.107172,  0.108697,
-	 0.110222,  0.111747,  0.113271,  0.114795,  0.116319,  0.117842,  0.119365,  0.120888,
-	 0.122411,  0.123933,  0.125455,  0.126977,  0.128498,  0.130019,  0.131540,  0.133061,
-	 0.134581,  0.136101,  0.137620,  0.139139,  0.140658,  0.142177,  0.143695,  0.145213,
-	 0.146730,  0.148248,  0.149765,  0.151281,  0.152797,  0.154313,  0.155828,  0.157343,
-	 0.158858,  0.160372,  0.161886,  0.163400,  0.164913,  0.166426,  0.167938,  0.169450,
-	 0.170962,  0.172473,  0.173984,  0.175494,  0.177004,  0.178514,  0.180023,  0.181532,
-	 0.183040,  0.184548,  0.186055,  0.187562,  0.189069,  0.190575,  0.192080,  0.193586,
-	 0.195090,  0.196595,  0.198098,  0.199602,  0.201105,  0.202607,  0.204109,  0.205610,
-	 0.207111,  0.208612,  0.210112,  0.211611,  0.213110,  0.214609,  0.216107,  0.217604,
-	 0.219101,  0.220598,  0.222094,  0.223589,  0.225084,  0.226578,  0.228072,  0.229565,
-	 0.231058,  0.232550,  0.234042,  0.235533,  0.237024,  0.238514,  0.240003,  0.241492,
-	 0.242980,  0.244468,  0.245955,  0.247442,  0.248928,  0.250413,  0.251898,  0.253382,
-	 0.254866,  0.256349,  0.257831,  0.259313,  0.260794,  0.262275,  0.263755,  0.265234,
-	 0.266713,  0.268191,  0.269668,  0.271145,  0.272621,  0.274097,  0.275572,  0.277046,
-	 0.278520,  0.279993,  0.281465,  0.282937,  0.284408,  0.285878,  0.287347,  0.288816,
-	 0.290285,  0.291752,  0.293219,  0.294685,  0.296151,  0.297616,  0.299080,  0.300543,
-	 0.302006,  0.303468,  0.304929,  0.306390,  0.307850,  0.309309,  0.310767,  0.312225,
-	 0.313682,  0.315138,  0.316593,  0.318048,  0.319502,  0.320955,  0.322408,  0.323859,
-	 0.325310,  0.326760,  0.328210,  0.329658,  0.331106,  0.332553,  0.334000,  0.335445,
-	 0.336890,  0.338334,  0.339777,  0.341219,  0.342661,  0.344101,  0.345541,  0.346980,
-	 0.348419,  0.349856,  0.351293,  0.352729,  0.354164,  0.355598,  0.357031,  0.358463,
-	 0.359895,  0.361326,  0.362756,  0.364185,  0.365613,  0.367040,  0.368467,  0.369892,
-	 0.371317,  0.372741,  0.374164,  0.375586,  0.377007,  0.378428,  0.379847,  0.381266,
-	 0.382683,  0.384100,  0.385516,  0.386931,  0.388345,  0.389758,  0.391170,  0.392582,
-	 0.393992,  0.395401,  0.396810,  0.398218,  0.399624,  0.401030,  0.402435,  0.403838,
-	 0.405241,  0.406643,  0.408044,  0.409444,  0.410843,  0.412241,  0.413638,  0.415034,
-	 0.416430,  0.417824,  0.419217,  0.420609,  0.422000,  0.423390,  0.424780,  0.426168,
-	 0.427555,  0.428941,  0.430326,  0.431711,  0.433094,  0.434476,  0.435857,  0.437237,
-	 0.438616,  0.439994,  0.441371,  0.442747,  0.444122,  0.445496,  0.446869,  0.448241,
-	 0.449611,  0.450981,  0.452350,  0.453717,  0.455084,  0.456449,  0.457813,  0.459177,
-	 0.460539,  0.461900,  0.463260,  0.464619,  0.465977,  0.467333,  0.468689,  0.470043,
-	 0.471397,  0.472749,  0.474100,  0.475450,  0.476799,  0.478147,  0.479494,  0.480839,
-	 0.482184,  0.483527,  0.484869,  0.486210,  0.487550,  0.488889,  0.490226,  0.491563,
-	 0.492898,  0.494232,  0.495565,  0.496897,  0.498228,  0.499557,  0.500885,  0.502212,
-	 0.503538,  0.504863,  0.506187,  0.507509,  0.508830,  0.510150,  0.511469,  0.512786,
-	 0.514103,  0.515418,  0.516732,  0.518045,  0.519356,  0.520666,  0.521975,  0.523283,
-	 0.524590,  0.525895,  0.527199,  0.528502,  0.529804,  0.531104,  0.532403,  0.533701,
-	 0.534998,  0.536293,  0.537587,  0.538880,  0.540171,  0.541462,  0.542751,  0.544039,
-	 0.545325,  0.546610,  0.547894,  0.549177,  0.550458,  0.551738,  0.553017,  0.554294,
-	 0.555570,  0.556845,  0.558119,  0.559391,  0.560662,  0.561931,  0.563199,  0.564466,
-	 0.565732,  0.566996,  0.568259,  0.569521,  0.570781,  0.572040,  0.573297,  0.574553,
-	 0.575808,  0.577062,  0.578314,  0.579565,  0.580814,  0.582062,  0.583309,  0.584554,
-	 0.585798,  0.587040,  0.588282,  0.589521,  0.590760,  0.591997,  0.593232,  0.594467,
-	 0.595699,  0.596931,  0.598161,  0.599389,  0.600616,  0.601842,  0.603067,  0.604290,
-	 0.605511,  0.606731,  0.607950,  0.609167,  0.610383,  0.611597,  0.612810,  0.614022,
-	 0.615232,  0.616440,  0.617647,  0.618853,  0.620057,  0.621260,  0.622461,  0.623661,
-	 0.624860,  0.626056,  0.627252,  0.628446,  0.629638,  0.630829,  0.632019,  0.633207,
-	 0.634393,  0.635578,  0.636762,  0.637944,  0.639124,  0.640303,  0.641481,  0.642657,
-	 0.643832,  0.645005,  0.646176,  0.647346,  0.648514,  0.649681,  0.650847,  0.652011,
-	 0.653173,  0.654334,  0.655493,  0.656651,  0.657807,  0.658961,  0.660114,  0.661266,
-	 0.662416,  0.663564,  0.664711,  0.665856,  0.667000,  0.668142,  0.669283,  0.670422,
-	 0.671559,  0.672695,  0.673829,  0.674962,  0.676093,  0.677222,  0.678350,  0.679476,
-	 0.680601,  0.681724,  0.682846,  0.683965,  0.685084,  0.686200,  0.687315,  0.688429,
-	 0.689541,  0.690651,  0.691759,  0.692866,  0.693971,  0.695075,  0.696177,  0.697277,
-	 0.698376,  0.699473,  0.700569,  0.701663,  0.702755,  0.703845,  0.704934,  0.706021,
-	 0.707107,  0.708191,  0.709273,  0.710353,  0.711432,  0.712509,  0.713585,  0.714659,
-	 0.715731,  0.716801,  0.717870,  0.718937,  0.720003,  0.721066,  0.722128,  0.723188,
-	 0.724247,  0.725304,  0.726359,  0.727413,  0.728464,  0.729514,  0.730563,  0.731609,
-	 0.732654,  0.733697,  0.734739,  0.735779,  0.736817,  0.737853,  0.738887,  0.739920,
-	 0.740951,  0.741980,  0.743008,  0.744034,  0.745058,  0.746080,  0.747101,  0.748119,
-	 0.749136,  0.750152,  0.751165,  0.752177,  0.753187,  0.754195,  0.755201,  0.756206,
-	 0.757209,  0.758210,  0.759209,  0.760207,  0.761202,  0.762196,  0.763188,  0.764179,
-	 0.765167,  0.766154,  0.767139,  0.768122,  0.769103,  0.770083,  0.771061,  0.772036,
-	 0.773010,  0.773983,  0.774953,  0.775922,  0.776888,  0.777853,  0.778817,  0.779778,
-	 0.780737,  0.781695,  0.782651,  0.783605,  0.784557,  0.785507,  0.786455,  0.787402,
-	 0.788346,  0.789289,  0.790230,  0.791169,  0.792107,  0.793042,  0.793975,  0.794907,
-	 0.795837,  0.796765,  0.797691,  0.798615,  0.799537,  0.800458,  0.801376,  0.802293,
-	 0.803208,  0.804120,  0.805031,  0.805940,  0.806848,  0.807753,  0.808656,  0.809558,
-	 0.810457,  0.811355,  0.812251,  0.813144,  0.814036,  0.814926,  0.815814,  0.816701,
-	 0.817585,  0.818467,  0.819348,  0.820226,  0.821102,  0.821977,  0.822850,  0.823721,
-	 0.824589,  0.825456,  0.826321,  0.827184,  0.828045,  0.828904,  0.829761,  0.830616,
-	 0.831470,  0.832321,  0.833170,  0.834018,  0.834863,  0.835706,  0.836548,  0.837387,
-	 0.838225,  0.839060,  0.839894,  0.840725,  0.841555,  0.842383,  0.843208,  0.844032,
-	 0.844854,  0.845673,  0.846491,  0.847307,  0.848120,  0.848932,  0.849742,  0.850549,
-	 0.851355,  0.852159,  0.852961,  0.853760,  0.854558,  0.855354,  0.856147,  0.856939,
-	 0.857729,  0.858516,  0.859302,  0.860085,  0.860867,  0.861646,  0.862424,  0.863199,
-	 0.863973,  0.864744,  0.865514,  0.866281,  0.867046,  0.867809,  0.868571,  0.869330,
-	 0.870087,  0.870842,  0.871595,  0.872346,  0.873095,  0.873842,  0.874587,  0.875329,
-	 0.876070,  0.876809,  0.877545,  0.878280,  0.879012,  0.879743,  0.880471,  0.881197,
-	 0.881921,  0.882643,  0.883363,  0.884081,  0.884797,  0.885511,  0.886223,  0.886932,
-	 0.887640,  0.888345,  0.889048,  0.889750,  0.890449,  0.891146,  0.891841,  0.892534,
-	 0.893224,  0.893913,  0.894599,  0.895284,  0.895966,  0.896646,  0.897325,  0.898001,
-	 0.898674,  0.899346,  0.900016,  0.900683,  0.901349,  0.902012,  0.902673,  0.903332,
-	 0.903989,  0.904644,  0.905297,  0.905947,  0.906596,  0.907242,  0.907886,  0.908528,
-	 0.909168,  0.909806,  0.910441,  0.911075,  0.911706,  0.912335,  0.912962,  0.913587,
-	 0.914210,  0.914830,  0.915449,  0.916065,  0.916679,  0.917291,  0.917901,  0.918508,
-	 0.919114,  0.919717,  0.920318,  0.920917,  0.921514,  0.922109,  0.922701,  0.923291,
-	 0.923880,  0.924465,  0.925049,  0.925631,  0.926210,  0.926787,  0.927363,  0.927935,
-	 0.928506,  0.929075,  0.929641,  0.930205,  0.930767,  0.931327,  0.931884,  0.932440,
-	 0.932993,  0.933544,  0.934093,  0.934639,  0.935184,  0.935726,  0.936266,  0.936803,
-	 0.937339,  0.937872,  0.938404,  0.938932,  0.939459,  0.939984,  0.940506,  0.941026,
-	 0.941544,  0.942060,  0.942573,  0.943084,  0.943593,  0.944100,  0.944605,  0.945107,
-	 0.945607,  0.946105,  0.946601,  0.947094,  0.947586,  0.948075,  0.948561,  0.949046,
-	 0.949528,  0.950008,  0.950486,  0.950962,  0.951435,  0.951906,  0.952375,  0.952842,
-	 0.953306,  0.953768,  0.954228,  0.954686,  0.955141,  0.955594,  0.956045,  0.956494,
-	 0.956940,  0.957385,  0.957826,  0.958266,  0.958703,  0.959139,  0.959572,  0.960002,
-	 0.960431,  0.960857,  0.961280,  0.961702,  0.962121,  0.962538,  0.962953,  0.963366,
-	 0.963776,  0.964184,  0.964590,  0.964993,  0.965394,  0.965793,  0.966190,  0.966584,
-	 0.966976,  0.967366,  0.967754,  0.968139,  0.968522,  0.968903,  0.969281,  0.969657,
-	 0.970031,  0.970403,  0.970772,  0.971139,  0.971504,  0.971866,  0.972227,  0.972584,
-	 0.972940,  0.973293,  0.973644,  0.973993,  0.974339,  0.974684,  0.975025,  0.975365,
-	 0.975702,  0.976037,  0.976370,  0.976700,  0.977028,  0.977354,  0.977677,  0.977998,
-	 0.978317,  0.978634,  0.978948,  0.979260,  0.979570,  0.979877,  0.980182,  0.980485,
-	 0.980785,  0.981083,  0.981379,  0.981673,  0.981964,  0.982253,  0.982539,  0.982824,
-	 0.983105,  0.983385,  0.983662,  0.983937,  0.984210,  0.984480,  0.984748,  0.985014,
-	 0.985278,  0.985539,  0.985798,  0.986054,  0.986308,  0.986560,  0.986809,  0.987057,
-	 0.987301,  0.987544,  0.987784,  0.988022,  0.988258,  0.988491,  0.988722,  0.988950,
-	 0.989177,  0.989400,  0.989622,  0.989841,  0.990058,  0.990273,  0.990485,  0.990695,
-	 0.990903,  0.991108,  0.991311,  0.991511,  0.991710,  0.991906,  0.992099,  0.992291,
-	 0.992480,  0.992666,  0.992850,  0.993032,  0.993212,  0.993389,  0.993564,  0.993737,
-	 0.993907,  0.994075,  0.994240,  0.994404,  0.994565,  0.994723,  0.994879,  0.995033,
-	 0.995185,  0.995334,  0.995481,  0.995625,  0.995767,  0.995907,  0.996045,  0.996180,
-	 0.996313,  0.996443,  0.996571,  0.996697,  0.996820,  0.996941,  0.997060,  0.997176,
-	 0.997290,  0.997402,  0.997511,  0.997618,  0.997723,  0.997825,  0.997925,  0.998023,
-	 0.998118,  0.998211,  0.998302,  0.998390,  0.998476,  0.998559,  0.998640,  0.998719,
-	 0.998795,  0.998870,  0.998941,  0.999011,  0.999078,  0.999142,  0.999205,  0.999265,
-	 0.999322,  0.999378,  0.999431,  0.999481,  0.999529,  0.999575,  0.999619,  0.999660,
-	 0.999699,  0.999735,  0.999769,  0.999801,  0.999831,  0.999858,  0.999882,  0.999905,
-	 0.999925,  0.999942,  0.999958,  0.999971,  0.999981,  0.999989,  0.999995,  0.999999
-};
-
-static const float cosTable8192[4096] = {
-	 1.000000,  1.000000,  0.999999,  0.999997,  0.999995,  0.999993,  0.999989,  0.999986,
-	 0.999981,  0.999976,  0.999971,  0.999964,  0.999958,  0.999950,  0.999942,  0.999934,
-	 0.999925,  0.999915,  0.999905,  0.999894,  0.999882,  0.999870,  0.999858,  0.999844,
-	 0.999831,  0.999816,  0.999801,  0.999786,  0.999769,  0.999753,  0.999735,  0.999717,
-	 0.999699,  0.999680,  0.999660,  0.999640,  0.999619,  0.999597,  0.999575,  0.999553,
-	 0.999529,  0.999506,  0.999481,  0.999456,  0.999431,  0.999404,  0.999378,  0.999350,
-	 0.999322,  0.999294,  0.999265,  0.999235,  0.999205,  0.999174,  0.999142,  0.999110,
-	 0.999078,  0.999044,  0.999011,  0.998976,  0.998941,  0.998906,  0.998870,  0.998833,
-	 0.998795,  0.998758,  0.998719,  0.998680,  0.998640,  0.998600,  0.998559,  0.998518,
-	 0.998476,  0.998433,  0.998390,  0.998346,  0.998302,  0.998257,  0.998211,  0.998165,
-	 0.998118,  0.998071,  0.998023,  0.997974,  0.997925,  0.997876,  0.997825,  0.997774,
-	 0.997723,  0.997671,  0.997618,  0.997565,  0.997511,  0.997457,  0.997402,  0.997347,
-	 0.997290,  0.997234,  0.997176,  0.997119,  0.997060,  0.997001,  0.996941,  0.996881,
-	 0.996820,  0.996759,  0.996697,  0.996634,  0.996571,  0.996507,  0.996443,  0.996378,
-	 0.996313,  0.996247,  0.996180,  0.996113,  0.996045,  0.995976,  0.995907,  0.995838,
-	 0.995767,  0.995697,  0.995625,  0.995553,  0.995481,  0.995408,  0.995334,  0.995260,
-	 0.995185,  0.995109,  0.995033,  0.994957,  0.994879,  0.994802,  0.994723,  0.994644,
-	 0.994565,  0.994484,  0.994404,  0.994322,  0.994240,  0.994158,  0.994075,  0.993991,
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-	 0.928506,  0.928791,  0.929075,  0.929358,  0.929641,  0.929923,  0.930205,  0.930486,
-	 0.930767,  0.931047,  0.931327,  0.931606,  0.931884,  0.932162,  0.932440,  0.932716,
-	 0.932993,  0.933269,  0.933544,  0.933818,  0.934093,  0.934366,  0.934639,  0.934912,
-	 0.935184,  0.935455,  0.935726,  0.935996,  0.936266,  0.936535,  0.936803,  0.937072,
-	 0.937339,  0.937606,  0.937872,  0.938138,  0.938404,  0.938668,  0.938932,  0.939196,
-	 0.939459,  0.939722,  0.939984,  0.940245,  0.940506,  0.940766,  0.941026,  0.941285,
-	 0.941544,  0.941802,  0.942060,  0.942317,  0.942573,  0.942829,  0.943084,  0.943339,
-	 0.943593,  0.943847,  0.944100,  0.944353,  0.944605,  0.944856,  0.945107,  0.945358,
-	 0.945607,  0.945857,  0.946105,  0.946353,  0.946601,  0.946848,  0.947094,  0.947340,
-	 0.947586,  0.947830,  0.948075,  0.948318,  0.948561,  0.948804,  0.949046,  0.949287,
-	 0.949528,  0.949768,  0.950008,  0.950247,  0.950486,  0.950724,  0.950962,  0.951199,
-	 0.951435,  0.951671,  0.951906,  0.952141,  0.952375,  0.952609,  0.952842,  0.953074,
-	 0.953306,  0.953537,  0.953768,  0.953998,  0.954228,  0.954457,  0.954686,  0.954914,
-	 0.955141,  0.955368,  0.955594,  0.955820,  0.956045,  0.956270,  0.956494,  0.956717,
-	 0.956940,  0.957163,  0.957385,  0.957606,  0.957826,  0.958046,  0.958266,  0.958485,
-	 0.958703,  0.958921,  0.959139,  0.959355,  0.959572,  0.959787,  0.960002,  0.960217,
-	 0.960431,  0.960644,  0.960857,  0.961069,  0.961280,  0.961492,  0.961702,  0.961912,
-	 0.962121,  0.962330,  0.962538,  0.962746,  0.962953,  0.963160,  0.963366,  0.963571,
-	 0.963776,  0.963980,  0.964184,  0.964387,  0.964590,  0.964792,  0.964993,  0.965194,
-	 0.965394,  0.965594,  0.965793,  0.965992,  0.966190,  0.966387,  0.966584,  0.966781,
-	 0.966976,  0.967172,  0.967366,  0.967560,  0.967754,  0.967947,  0.968139,  0.968331,
-	 0.968522,  0.968713,  0.968903,  0.969092,  0.969281,  0.969470,  0.969657,  0.969845,
-	 0.970031,  0.970217,  0.970403,  0.970588,  0.970772,  0.970956,  0.971139,  0.971322,
-	 0.971504,  0.971685,  0.971866,  0.972047,  0.972227,  0.972406,  0.972584,  0.972762,
-	 0.972940,  0.973117,  0.973293,  0.973469,  0.973644,  0.973819,  0.973993,  0.974166,
-	 0.974339,  0.974512,  0.974684,  0.974855,  0.975025,  0.975195,  0.975365,  0.975534,
-	 0.975702,  0.975870,  0.976037,  0.976204,  0.976370,  0.976535,  0.976700,  0.976864,
-	 0.977028,  0.977191,  0.977354,  0.977516,  0.977677,  0.977838,  0.977998,  0.978158,
-	 0.978317,  0.978476,  0.978634,  0.978791,  0.978948,  0.979104,  0.979260,  0.979415,
-	 0.979570,  0.979724,  0.979877,  0.980030,  0.980182,  0.980334,  0.980485,  0.980635,
-	 0.980785,  0.980935,  0.981083,  0.981232,  0.981379,  0.981526,  0.981673,  0.981819,
-	 0.981964,  0.982109,  0.982253,  0.982396,  0.982539,  0.982682,  0.982824,  0.982965,
-	 0.983105,  0.983246,  0.983385,  0.983524,  0.983662,  0.983800,  0.983937,  0.984074,
-	 0.984210,  0.984346,  0.984480,  0.984615,  0.984748,  0.984882,  0.985014,  0.985146,
-	 0.985278,  0.985408,  0.985539,  0.985668,  0.985798,  0.985926,  0.986054,  0.986181,
-	 0.986308,  0.986434,  0.986560,  0.986685,  0.986809,  0.986933,  0.987057,  0.987179,
-	 0.987301,  0.987423,  0.987544,  0.987664,  0.987784,  0.987903,  0.988022,  0.988140,
-	 0.988258,  0.988374,  0.988491,  0.988607,  0.988722,  0.988836,  0.988950,  0.989064,
-	 0.989177,  0.989289,  0.989400,  0.989511,  0.989622,  0.989732,  0.989841,  0.989950,
-	 0.990058,  0.990166,  0.990273,  0.990379,  0.990485,  0.990590,  0.990695,  0.990799,
-	 0.990903,  0.991006,  0.991108,  0.991210,  0.991311,  0.991411,  0.991511,  0.991611,
-	 0.991710,  0.991808,  0.991906,  0.992003,  0.992099,  0.992195,  0.992291,  0.992385,
-	 0.992480,  0.992573,  0.992666,  0.992759,  0.992850,  0.992942,  0.993032,  0.993122,
-	 0.993212,  0.993301,  0.993389,  0.993477,  0.993564,  0.993651,  0.993737,  0.993822,
-	 0.993907,  0.993991,  0.994075,  0.994158,  0.994240,  0.994322,  0.994404,  0.994484,
-	 0.994565,  0.994644,  0.994723,  0.994802,  0.994879,  0.994957,  0.995033,  0.995109,
-	 0.995185,  0.995260,  0.995334,  0.995408,  0.995481,  0.995553,  0.995625,  0.995697,
-	 0.995767,  0.995838,  0.995907,  0.995976,  0.996045,  0.996113,  0.996180,  0.996247,
-	 0.996313,  0.996378,  0.996443,  0.996507,  0.996571,  0.996634,  0.996697,  0.996759,
-	 0.996820,  0.996881,  0.996941,  0.997001,  0.997060,  0.997119,  0.997176,  0.997234,
-	 0.997290,  0.997347,  0.997402,  0.997457,  0.997511,  0.997565,  0.997618,  0.997671,
-	 0.997723,  0.997774,  0.997825,  0.997876,  0.997925,  0.997974,  0.998023,  0.998071,
-	 0.998118,  0.998165,  0.998211,  0.998257,  0.998302,  0.998346,  0.998390,  0.998433,
-	 0.998476,  0.998518,  0.998559,  0.998600,  0.998640,  0.998680,  0.998719,  0.998758,
-	 0.998795,  0.998833,  0.998870,  0.998906,  0.998941,  0.998976,  0.999011,  0.999044,
-	 0.999078,  0.999110,  0.999142,  0.999174,  0.999205,  0.999235,  0.999265,  0.999294,
-	 0.999322,  0.999350,  0.999378,  0.999404,  0.999431,  0.999456,  0.999481,  0.999506,
-	 0.999529,  0.999553,  0.999575,  0.999597,  0.999619,  0.999640,  0.999660,  0.999680,
-	 0.999699,  0.999717,  0.999735,  0.999753,  0.999769,  0.999786,  0.999801,  0.999816,
-	 0.999831,  0.999844,  0.999858,  0.999870,  0.999882,  0.999894,  0.999905,  0.999915,
-	 0.999925,  0.999934,  0.999942,  0.999950,  0.999958,  0.999964,  0.999971,  0.999976,
-	 0.999981,  0.999986,  0.999989,  0.999993,  0.999995,  0.999997,  0.999999,  1.000000
-};
-
-static const float cosTable16384[8192] = {
-	 1.000000,  1.000000,  1.000000,  0.999999,  0.999999,  0.999998,  0.999997,  0.999996,
-	 0.999995,  0.999994,  0.999993,  0.999991,  0.999989,  0.999988,  0.999986,  0.999983,
-	 0.999981,  0.999979,  0.999976,  0.999973,  0.999971,  0.999968,  0.999964,  0.999961,
-	 0.999958,  0.999954,  0.999950,  0.999946,  0.999942,  0.999938,  0.999934,  0.999929,
-	 0.999925,  0.999920,  0.999915,  0.999910,  0.999905,  0.999899,  0.999894,  0.999888,
-	 0.999882,  0.999876,  0.999870,  0.999864,  0.999858,  0.999851,  0.999844,  0.999838,
-	 0.999831,  0.999823,  0.999816,  0.999809,  0.999801,  0.999793,  0.999786,  0.999778,
-	 0.999769,  0.999761,  0.999753,  0.999744,  0.999735,  0.999726,  0.999717,  0.999708,
-	 0.999699,  0.999689,  0.999680,  0.999670,  0.999660,  0.999650,  0.999640,  0.999629,
-	 0.999619,  0.999608,  0.999597,  0.999586,  0.999575,  0.999564,  0.999553,  0.999541,
-	 0.999529,  0.999518,  0.999506,  0.999493,  0.999481,  0.999469,  0.999456,  0.999443,
-	 0.999431,  0.999418,  0.999404,  0.999391,  0.999378,  0.999364,  0.999350,  0.999336,
-	 0.999322,  0.999308,  0.999294,  0.999279,  0.999265,  0.999250,  0.999235,  0.999220,
-	 0.999205,  0.999189,  0.999174,  0.999158,  0.999142,  0.999126,  0.999110,  0.999094,
-	 0.999078,  0.999061,  0.999044,  0.999028,  0.999011,  0.998994,  0.998976,  0.998959,
-	 0.998941,  0.998924,  0.998906,  0.998888,  0.998870,  0.998851,  0.998833,  0.998814,
-	 0.998795,  0.998777,  0.998758,  0.998738,  0.998719,  0.998700,  0.998680,  0.998660,
-	 0.998640,  0.998620,  0.998600,  0.998580,  0.998559,  0.998538,  0.998518,  0.998497,
-	 0.998476,  0.998454,  0.998433,  0.998411,  0.998390,  0.998368,  0.998346,  0.998324,
-	 0.998302,  0.998279,  0.998257,  0.998234,  0.998211,  0.998188,  0.998165,  0.998142,
-	 0.998118,  0.998094,  0.998071,  0.998047,  0.998023,  0.997999,  0.997974,  0.997950,
-	 0.997925,  0.997901,  0.997876,  0.997851,  0.997825,  0.997800,  0.997774,  0.997749,
-	 0.997723,  0.997697,  0.997671,  0.997645,  0.997618,  0.997592,  0.997565,  0.997538,
-	 0.997511,  0.997484,  0.997457,  0.997430,  0.997402,  0.997374,  0.997347,  0.997319,
-	 0.997290,  0.997262,  0.997234,  0.997205,  0.997176,  0.997148,  0.997119,  0.997089,
-	 0.997060,  0.997031,  0.997001,  0.996971,  0.996941,  0.996911,  0.996881,  0.996851,
-	 0.996820,  0.996790,  0.996759,  0.996728,  0.996697,  0.996666,  0.996634,  0.996603,
-	 0.996571,  0.996539,  0.996507,  0.996475,  0.996443,  0.996411,  0.996378,  0.996345,
-	 0.996313,  0.996280,  0.996247,  0.996213,  0.996180,  0.996146,  0.996113,  0.996079,
-	 0.996045,  0.996011,  0.995976,  0.995942,  0.995907,  0.995872,  0.995838,  0.995803,
-	 0.995767,  0.995732,  0.995697,  0.995661,  0.995625,  0.995589,  0.995553,  0.995517,
-	 0.995481,  0.995444,  0.995408,  0.995371,  0.995334,  0.995297,  0.995260,  0.995222,
-	 0.995185,  0.995147,  0.995109,  0.995071,  0.995033,  0.994995,  0.994957,  0.994918,
-	 0.994879,  0.994841,  0.994802,  0.994762,  0.994723,  0.994684,  0.994644,  0.994604,
-	 0.994565,  0.994525,  0.994484,  0.994444,  0.994404,  0.994363,  0.994322,  0.994281,
-	 0.994240,  0.994199,  0.994158,  0.994116,  0.994075,  0.994033,  0.993991,  0.993949,
-	 0.993907,  0.993865,  0.993822,  0.993779,  0.993737,  0.993694,  0.993651,  0.993608,
-	 0.993564,  0.993521,  0.993477,  0.993433,  0.993389,  0.993345,  0.993301,  0.993257,
-	 0.993212,  0.993167,  0.993122,  0.993077,  0.993032,  0.992987,  0.992942,  0.992896,
-	 0.992850,  0.992805,  0.992759,  0.992712,  0.992666,  0.992620,  0.992573,  0.992526,
-	 0.992480,  0.992433,  0.992385,  0.992338,  0.992291,  0.992243,  0.992195,  0.992147,
-	 0.992099,  0.992051,  0.992003,  0.991954,  0.991906,  0.991857,  0.991808,  0.991759,
-	 0.991710,  0.991660,  0.991611,  0.991561,  0.991511,  0.991462,  0.991411,  0.991361,
-	 0.991311,  0.991260,  0.991210,  0.991159,  0.991108,  0.991057,  0.991006,  0.990954,
-	 0.990903,  0.990851,  0.990799,  0.990747,  0.990695,  0.990643,  0.990590,  0.990538,
-	 0.990485,  0.990432,  0.990379,  0.990326,  0.990273,  0.990219,  0.990166,  0.990112,
-	 0.990058,  0.990004,  0.989950,  0.989896,  0.989841,  0.989787,  0.989732,  0.989677,
-	 0.989622,  0.989567,  0.989511,  0.989456,  0.989400,  0.989345,  0.989289,  0.989233,
-	 0.989177,  0.989120,  0.989064,  0.989007,  0.988950,  0.988893,  0.988836,  0.988779,
-	 0.988722,  0.988664,  0.988607,  0.988549,  0.988491,  0.988433,  0.988374,  0.988316,
-	 0.988258,  0.988199,  0.988140,  0.988081,  0.988022,  0.987963,  0.987903,  0.987844,
-	 0.987784,  0.987724,  0.987664,  0.987604,  0.987544,  0.987484,  0.987423,  0.987362,
-	 0.987301,  0.987240,  0.987179,  0.987118,  0.987057,  0.986995,  0.986933,  0.986871,
-	 0.986809,  0.986747,  0.986685,  0.986623,  0.986560,  0.986497,  0.986434,  0.986371,
-	 0.986308,  0.986245,  0.986181,  0.986118,  0.986054,  0.985990,  0.985926,  0.985862,
-	 0.985798,  0.985733,  0.985668,  0.985604,  0.985539,  0.985474,  0.985408,  0.985343,
-	 0.985278,  0.985212,  0.985146,  0.985080,  0.985014,  0.984948,  0.984882,  0.984815,
-	 0.984748,  0.984682,  0.984615,  0.984548,  0.984480,  0.984413,  0.984346,  0.984278,
-	 0.984210,  0.984142,  0.984074,  0.984006,  0.983937,  0.983869,  0.983800,  0.983731,
-	 0.983662,  0.983593,  0.983524,  0.983455,  0.983385,  0.983315,  0.983246,  0.983176,
-	 0.983105,  0.983035,  0.982965,  0.982894,  0.982824,  0.982753,  0.982682,  0.982611,
-	 0.982539,  0.982468,  0.982396,  0.982325,  0.982253,  0.982181,  0.982109,  0.982036,
-	 0.981964,  0.981891,  0.981819,  0.981746,  0.981673,  0.981600,  0.981526,  0.981453,
-	 0.981379,  0.981305,  0.981232,  0.981158,  0.981083,  0.981009,  0.980935,  0.980860,
-	 0.980785,  0.980710,  0.980635,  0.980560,  0.980485,  0.980409,  0.980334,  0.980258,
-	 0.980182,  0.980106,  0.980030,  0.979954,  0.979877,  0.979800,  0.979724,  0.979647,
-	 0.979570,  0.979493,  0.979415,  0.979338,  0.979260,  0.979182,  0.979104,  0.979026,
-	 0.978948,  0.978870,  0.978791,  0.978713,  0.978634,  0.978555,  0.978476,  0.978397,
-	 0.978317,  0.978238,  0.978158,  0.978078,  0.977998,  0.977918,  0.977838,  0.977758,
-	 0.977677,  0.977597,  0.977516,  0.977435,  0.977354,  0.977273,  0.977191,  0.977110,
-	 0.977028,  0.976946,  0.976864,  0.976782,  0.976700,  0.976618,  0.976535,  0.976453,
-	 0.976370,  0.976287,  0.976204,  0.976120,  0.976037,  0.975954,  0.975870,  0.975786,
-	 0.975702,  0.975618,  0.975534,  0.975449,  0.975365,  0.975280,  0.975195,  0.975110,
-	 0.975025,  0.974940,  0.974855,  0.974769,  0.974684,  0.974598,  0.974512,  0.974426,
-	 0.974339,  0.974253,  0.974166,  0.974080,  0.973993,  0.973906,  0.973819,  0.973732,
-	 0.973644,  0.973557,  0.973469,  0.973381,  0.973293,  0.973205,  0.973117,  0.973028,
-	 0.972940,  0.972851,  0.972762,  0.972673,  0.972584,  0.972495,  0.972406,  0.972316,
-	 0.972227,  0.972137,  0.972047,  0.971957,  0.971866,  0.971776,  0.971685,  0.971595,
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