COMMON: Add some simple math utilities

Based on eos' code
author: Matthew Hoops 2011-07-02 15:15:04 -0400
committer: Matthew Hoops 2011-07-02 15:15:04 -0400
commit: 1d4ec6f1d18f68f77d5fbe4e8911fcf96cd35c51 (patch)
tree: f6f6bb9173000a0c1b40e8b2cedc66abf7c0a11c /common
parent: 6ff94e255436e6a65824d76f27021840f7106c15 (diff)
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5 files changed, 16705 insertions, 0 deletions
diff --git a/common/cosinetables.h b/common/cosinetables.h
new file mode 100644
index 0000000000..362445bc6d
--- /dev/null
+++ b/common/cosinetables.h
@@ -0,0 +1,8270 @@
+/* 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
+
+#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,
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+	 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,
+	 0.956940,  0.956717,  0.956494,  0.956270,  0.956045,  0.955820,  0.955594,  0.955368,
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+	 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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+	 0.985278,  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,
+	 0.990695,  0.990669,  0.990643,  0.990617,  0.990590,  0.990564,  0.990538,  0.990511,
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+	 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,
+	 0.999294,  0.999290,  0.999287,  0.999283,  0.999279,  0.999276,  0.999272,  0.999268,
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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
+};
+
+} // End of namespace Common
+
+#endif // COMMON_COSINETABLES_H
diff --git a/common/math.cpp b/common/math.cpp
new file mode 100644
index 0000000000..8b7a68368e
--- /dev/null
+++ b/common/math.cpp
@@ -0,0 +1,44 @@
+/* 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' math code
+
+#include "common/math.h"
+
+#include "common/sinetables.h"
+#include "common/cosinetables.h"
+
+namespace Common {
+
+const float *getSineTable(int bits) {
+	assert((bits >= 4) && (bits <= 16));
+
+	return sinTables[bits];
+}
+
+const float *getCosineTable(int bits) {
+	assert((bits >= 4) && (bits <= 16));
+
+	return cosTables[bits];
+}
+
+} // End of namespace Common
diff --git a/common/math.h b/common/math.h
new file mode 100644
index 0000000000..44ba640dfb
--- /dev/null
+++ b/common/math.h
@@ -0,0 +1,120 @@
+/* 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' math code
+
+#ifndef COMMON_MATH_H
+#define COMMON_MATH_H
+
+#include "common/scummsys.h"
+
+#ifndef M_SQRT1_2
+	#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
+#endif
+
+#ifndef M_PI
+	#define M_PI 3.14159265358979323846
+#endif
+
+#ifndef FLT_MIN
+	#define FLT_MIN 1E-37
+#endif
+
+#ifndef FLT_MAX
+	#define FLT_MAX 1E+37
+#endif
+
+extern const float sinTable16[8];
+extern const float sinTable32[16];
+extern const float sinTable64[32];
+extern const float sinTable128[64];
+extern const float sinTable256[128];
+extern const float sinTable512[256];
+extern const float sinTable1024[512];
+extern const float sinTable2048[1024];
+extern const float sinTable4096[2048];
+extern const float sinTable8192[4096];
+extern const float sinTable16384[8192];
+extern const float sinTable32768[16384];
+extern const float sinTable65536[32768];
+
+extern const float cosTable16[8];
+extern const float cosTable32[16];
+extern const float cosTable64[32];
+extern const float cosTable128[64];
+extern const float cosTable256[128];
+extern const float cosTable512[256];
+extern const float cosTable1024[512];
+extern const float cosTable2048[1024];
+extern const float cosTable4096[2048];
+extern const float cosTable8192[4096];
+extern const float cosTable16384[8192];
+extern const float cosTable32768[16384];
+extern const float cosTable65536[32768];
+
+namespace Common {
+
+/** A complex number. */
+struct Complex {
+	float re, im;
+};
+
+const float *getSineTable(int bits);
+const float *getCosineTable(int bits);
+
+// See http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogLookup
+static const char LogTable256[256] = {
+#define LT(n) n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n
+	-1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
+	LT(4), LT(5), LT(5), LT(6), LT(6), LT(6), LT(6),
+	LT(7), LT(7), LT(7), LT(7), LT(7), LT(7), LT(7), LT(7)
+};
+
+inline uint32 log2(uint32 v) {
+	register uint32 t, tt;
+
+	if ((tt = v >> 16))
+		return (t = tt >> 8) ? 24 + LogTable256[t] : 16 + LogTable256[tt];
+	else
+		return (t =  v >> 8) ?  8 + LogTable256[t] : LogTable256[v];
+}
+
+inline float rad2deg(float rad) {
+	return rad * 180.0 / M_PI;
+}
+
+inline float deg2rad(float deg) {
+	return deg * M_PI / 180.0;
+}
+
+inline void vector2orientation(float vX, float vY, float &x, float &y, float &z) {
+	x = 0.0;
+	y = rad2deg(acos(vY));
+	z = 0.0;
+
+	if (vX < 0)
+		y = 360.0 - y;
+}
+
+} // End of namespace Common
+
+#endif // COMMON_MATHS_H
diff --git a/common/module.mk b/common/module.mk
index bada45bf91..d2791c4f9d 100644
--- a/common/module.mk
+++ b/common/module.mk
@@ -15,6 +15,7 @@ MODULE_OBJS := \
 	hashmap.o \
 	iff_container.o \
 	macresman.o \
+	math.o \
 	memorypool.o \
 	md5.o \
 	mutex.o \
diff --git a/common/sinetables.h b/common/sinetables.h
new file mode 100644
index 0000000000..39a5c9fda3
--- /dev/null
+++ b/common/sinetables.h
@@ -0,0 +1,8270 @@
+/* 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' sine tables
+
+#ifndef COMMON_SINETABLES_H
+#define COMMON_SINETABLES_H
+
+namespace Common {
+
+static const float sinTable16[8] = {
+	 0.000000,  0.382683,  0.707107,  0.923880,  0.000000, -0.382683, -0.707107, -0.923880
+};
+
+static const float sinTable32[16] = {
+	 0.000000,  0.195090,  0.382683,  0.555570,  0.707107,  0.831470,  0.923880,  0.980785,
+	 0.000000, -0.195090, -0.382683, -0.555570, -0.707107, -0.831470, -0.923880, -0.980785
+};
+
+static const float sinTable64[32] = {
+	 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,
+	 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 sinTable128[64] = {
+	 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,
+	 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 sinTable256[128] = {
+	 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,
+	 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 sinTable512[256] = {
+	 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,
+	 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 sinTable1024[512] = {
+	 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,
+	 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 sinTable2048[1024] = {
+	 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,
+	 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 sinTable4096[2048] = {
+	 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,
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+	-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 sinTable8192[4096] = {
+	 0.000000,  0.000767,  0.001534,  0.002301,  0.003068,  0.003835,  0.004602,  0.005369,
+	 0.006136,  0.006903,  0.007670,  0.008437,  0.009204,  0.009971,  0.010738,  0.011505,
+	 0.012272,  0.013038,  0.013805,  0.014572,  0.015339,  0.016106,  0.016873,  0.017640,
+	 0.018407,  0.019174,  0.019940,  0.020707,  0.021474,  0.022241,  0.023008,  0.023774,
+	 0.024541,  0.025308,  0.026075,  0.026841,  0.027608,  0.028375,  0.029142,  0.029908,
+	 0.030675,  0.031441,  0.032208,  0.032975,  0.033741,  0.034508,  0.035274,  0.036041,
+	 0.036807,  0.037574,  0.038340,  0.039107,  0.039873,  0.040639,  0.041406,  0.042172,
+	 0.042938,  0.043705,  0.044471,  0.045237,  0.046003,  0.046769,  0.047535,  0.048302,
+	 0.049068,  0.049834,  0.050600,  0.051366,  0.052132,  0.052898,  0.053664,  0.054429,
+	 0.055195,  0.055961,  0.056727,  0.057493,  0.058258,  0.059024,  0.059790,  0.060555,
+	 0.061321,  0.062086,  0.062852,  0.063617,  0.064383,  0.065148,  0.065913,  0.066679,
+	 0.067444,  0.068209,  0.068974,  0.069739,  0.070505,  0.071270,  0.072035,  0.072800,
+	 0.073565,  0.074329,  0.075094,  0.075859,  0.076624,  0.077389,  0.078153,  0.078918,
+	 0.079682,  0.080447,  0.081211,  0.081976,  0.082740,  0.083505,  0.084269,  0.085033,
+	 0.085797,  0.086561,  0.087326,  0.088090,  0.088854,  0.089617,  0.090381,  0.091145,
+	 0.091909,  0.092673,  0.093436,  0.094200,  0.094963,  0.095727,  0.096490,  0.097254,
+	 0.098017,  0.098780,  0.099544,  0.100307,  0.101070,  0.101833,  0.102596,  0.103359,
+	 0.104122,  0.104884,  0.105647,  0.106410,  0.107172,  0.107935,  0.108697,  0.109460,
+	 0.110222,  0.110984,  0.111747,  0.112509,  0.113271,  0.114033,  0.114795,  0.115557,
+	 0.116319,  0.117080,  0.117842,  0.118604,  0.119365,  0.120127,  0.120888,  0.121649,
+	 0.122411,  0.123172,  0.123933,  0.124694,  0.125455,  0.126216,  0.126977,  0.127737,
+	 0.128498,  0.129259,  0.130019,  0.130780,  0.131540,  0.132300,  0.133061,  0.133821,
+	 0.134581,  0.135341,  0.136101,  0.136860,  0.137620,  0.138380,  0.139139,  0.139899,
+	 0.140658,  0.141418,  0.142177,  0.142936,  0.143695,  0.144454,  0.145213,  0.145972,
+	 0.146730,  0.147489,  0.148248,  0.149006,  0.149765,  0.150523,  0.151281,  0.152039,
+	 0.152797,  0.153555,  0.154313,  0.155071,  0.155828,  0.156586,  0.157343,  0.158101,
+	 0.158858,  0.159615,  0.160372,  0.161129,  0.161886,  0.162643,  0.163400,  0.164157,
+	 0.164913,  0.165670,  0.166426,  0.167182,  0.167938,  0.168694,  0.169450,  0.170206,
+	 0.170962,  0.171718,  0.172473,  0.173229,  0.173984,  0.174739,  0.175494,  0.176249,
+	 0.177004,  0.177759,  0.178514,  0.179268,  0.180023,  0.180777,  0.181532,  0.182286,
+	 0.183040,  0.183794,  0.184548,  0.185301,  0.186055,  0.186809,  0.187562,  0.188315,
+	 0.189069,  0.189822,  0.190575,  0.191328,  0.192080,  0.192833,  0.193586,  0.194338,
+	 0.195090,  0.195843,  0.196595,  0.197347,  0.198098,  0.198850,  0.199602,  0.200353,
+	 0.201105,  0.201856,  0.202607,  0.203358,  0.204109,  0.204860,  0.205610,  0.206361,
+	 0.207111,  0.207862,  0.208612,  0.209362,  0.210112,  0.210862,  0.211611,  0.212361,
+	 0.213110,  0.213860,  0.214609,  0.215358,  0.216107,  0.216856,  0.217604,  0.218353,
+	 0.219101,  0.219850,  0.220598,  0.221346,  0.222094,  0.222841,  0.223589,  0.224337,
+	 0.225084,  0.225831,  0.226578,  0.227325,  0.228072,  0.228819,  0.229565,  0.230312,
+	 0.231058,  0.231804,  0.232550,  0.233296,  0.234042,  0.234788,  0.235533,  0.236278,
+	 0.237024,  0.237769,  0.238514,  0.239258,  0.240003,  0.240748,  0.241492,  0.242236,
+	 0.242980,  0.243724,  0.244468,  0.245212,  0.245955,  0.246698,  0.247442,  0.248185,
+	 0.248928,  0.249670,  0.250413,  0.251155,  0.251898,  0.252640,  0.253382,  0.254124,
+	 0.254866,  0.255607,  0.256349,  0.257090,  0.257831,  0.258572,  0.259313,  0.260054,
+	 0.260794,  0.261534,  0.262275,  0.263015,  0.263755,  0.264494,  0.265234,  0.265973,
+	 0.266713,  0.267452,  0.268191,  0.268930,  0.269668,  0.270407,  0.271145,  0.271883,
+	 0.272621,  0.273359,  0.274097,  0.274834,  0.275572,  0.276309,  0.277046,  0.277783,
+	 0.278520,  0.279256,  0.279993,  0.280729,  0.281465,  0.282201,  0.282937,  0.283672,
+	 0.284408,  0.285143,  0.285878,  0.286613,  0.287347,  0.288082,  0.288816,  0.289551,
+	 0.290285,  0.291019,  0.291752,  0.292486,  0.293219,  0.293952,  0.294685,  0.295418,
+	 0.296151,  0.296883,  0.297616,  0.298348,  0.299080,  0.299812,  0.300543,  0.301275,
+	 0.302006,  0.302737,  0.303468,  0.304199,  0.304929,  0.305660,  0.306390,  0.307120,
+	 0.307850,  0.308579,  0.309309,  0.310038,  0.310767,  0.311496,  0.312225,  0.312953,
+	 0.313682,  0.314410,  0.315138,  0.315866,  0.316593,  0.317321,  0.318048,  0.318775,
+	 0.319502,  0.320229,  0.320955,  0.321682,  0.322408,  0.323134,  0.323859,  0.324585,
+	 0.325310,  0.326035,  0.326760,  0.327485,  0.328210,  0.328934,  0.329658,  0.330382,
+	 0.331106,  0.331830,  0.332553,  0.333277,  0.334000,  0.334722,  0.335445,  0.336168,
+	 0.336890,  0.337612,  0.338334,  0.339055,  0.339777,  0.340498,  0.341219,  0.341940,
+	 0.342661,  0.343381,  0.344101,  0.344821,  0.345541,  0.346261,  0.346980,  0.347700,
+	 0.348419,  0.349138,  0.349856,  0.350575,  0.351293,  0.352011,  0.352729,  0.353446,
+	 0.354164,  0.354881,  0.355598,  0.356314,  0.357031,  0.357747,  0.358463,  0.359179,
+	 0.359895,  0.360611,  0.361326,  0.362041,  0.362756,  0.363470,  0.364185,  0.364899,
+	 0.365613,  0.366327,  0.367040,  0.367754,  0.368467,  0.369180,  0.369892,  0.370605,
+	 0.371317,  0.372029,  0.372741,  0.373453,  0.374164,  0.374875,  0.375586,  0.376297,
+	 0.377007,  0.377718,  0.378428,  0.379138,  0.379847,  0.380557,  0.381266,  0.381975,
+	 0.382683,  0.383392,  0.384100,  0.384808,  0.385516,  0.386224,  0.386931,  0.387638,
+	 0.388345,  0.389052,  0.389758,  0.390464,  0.391170,  0.391876,  0.392582,  0.393287,
+	 0.393992,  0.394697,  0.395401,  0.396106,  0.396810,  0.397514,  0.398218,  0.398921,
+	 0.399624,  0.400327,  0.401030,  0.401732,  0.402435,  0.403137,  0.403838,  0.404540,
+	 0.405241,  0.405942,  0.406643,  0.407344,  0.408044,  0.408744,  0.409444,  0.410144,
+	 0.410843,  0.411542,  0.412241,  0.412940,  0.413638,  0.414337,  0.415034,  0.415732,
+	 0.416430,  0.417127,  0.417824,  0.418520,  0.419217,  0.419913,  0.420609,  0.421305,
+	 0.422000,  0.422695,  0.423390,  0.424085,  0.424780,  0.425474,  0.426168,  0.426862,
+	 0.427555,  0.428248,  0.428941,  0.429634,  0.430326,  0.431019,  0.431711,  0.432402,
+	 0.433094,  0.433785,  0.434476,  0.435167,  0.435857,  0.436547,  0.437237,  0.437927,
+	 0.438616,  0.439305,  0.439994,  0.440683,  0.441371,  0.442059,  0.442747,  0.443435,
+	 0.444122,  0.444809,  0.445496,  0.446183,  0.446869,  0.447555,  0.448241,  0.448926,
+	 0.449611,  0.450296,  0.450981,  0.451665,  0.452350,  0.453033,  0.453717,  0.454400,
+	 0.455084,  0.455766,  0.456449,  0.457131,  0.457813,  0.458495,  0.459177,  0.459858,
+	 0.460539,  0.461219,  0.461900,  0.462580,  0.463260,  0.463939,  0.464619,  0.465298,
+	 0.465977,  0.466655,  0.467333,  0.468011,  0.468689,  0.469366,  0.470043,  0.470720,
+	 0.471397,  0.472073,  0.472749,  0.473425,  0.474100,  0.474775,  0.475450,  0.476125,
+	 0.476799,  0.477473,  0.478147,  0.478821,  0.479494,  0.480167,  0.480839,  0.481512,
+	 0.482184,  0.482856,  0.483527,  0.484198,  0.484869,  0.485540,  0.486210,  0.486880,
+	 0.487550,  0.488220,  0.488889,  0.489558,  0.490226,  0.490895,  0.491563,  0.492231,
+	 0.492898,  0.493565,  0.494232,  0.494899,  0.495565,  0.496231,  0.496897,  0.497562,
+	 0.498228,  0.498893,  0.499557,  0.500221,  0.500885,  0.501549,  0.502212,  0.502876,
+	 0.503538,  0.504201,  0.504863,  0.505525,  0.506187,  0.506848,  0.507509,  0.508170,
+	 0.508830,  0.509490,  0.510150,  0.510810,  0.511469,  0.512128,  0.512786,  0.513445,
+	 0.514103,  0.514760,  0.515418,  0.516075,  0.516732,  0.517388,  0.518045,  0.518700,
+	 0.519356,  0.520011,  0.520666,  0.521321,  0.521975,  0.522629,  0.523283,  0.523937,
+	 0.524590,  0.525243,  0.525895,  0.526547,  0.527199,  0.527851,  0.528502,  0.529153,
+	 0.529804,  0.530454,  0.531104,  0.531754,  0.532403,  0.533052,  0.533701,  0.534349,
+	 0.534998,  0.535645,  0.536293,  0.536940,  0.537587,  0.538234,  0.538880,  0.539526,
+	 0.540171,  0.540817,  0.541462,  0.542106,  0.542751,  0.543395,  0.544039,  0.544682,
+	 0.545325,  0.545968,  0.546610,  0.547252,  0.547894,  0.548536,  0.549177,  0.549818,
+	 0.550458,  0.551098,  0.551738,  0.552378,  0.553017,  0.553656,  0.554294,  0.554932,
+	 0.555570,  0.556208,  0.556845,  0.557482,  0.558119,  0.558755,  0.559391,  0.560026,
+	 0.560662,  0.561297,  0.561931,  0.562565,  0.563199,  0.563833,  0.564466,  0.565099,
+	 0.565732,  0.566364,  0.566996,  0.567628,  0.568259,  0.568890,  0.569521,  0.570151,
+	 0.570781,  0.571410,  0.572040,  0.572669,  0.573297,  0.573925,  0.574553,  0.575181,
+	 0.575808,  0.576435,  0.577062,  0.577688,  0.578314,  0.578939,  0.579565,  0.580189,
+	 0.580814,  0.581438,  0.582062,  0.582685,  0.583309,  0.583931,  0.584554,  0.585176,
+	 0.585798,  0.586419,  0.587040,  0.587661,  0.588282,  0.588902,  0.589521,  0.590141,
+	 0.590760,  0.591378,  0.591997,  0.592615,  0.593232,  0.593850,  0.594467,  0.595083,
+	 0.595699,  0.596315,  0.596931,  0.597546,  0.598161,  0.598775,  0.599389,  0.600003,
+	 0.600616,  0.601230,  0.601842,  0.602455,  0.603067,  0.603678,  0.604290,  0.604900,
+	 0.605511,  0.606121,  0.606731,  0.607341,  0.607950,  0.608559,  0.609167,  0.609775,
+	 0.610383,  0.610990,  0.611597,  0.612204,  0.612810,  0.613416,  0.614022,  0.614627,
+	 0.615232,  0.615836,  0.616440,  0.617044,  0.617647,  0.618250,  0.618853,  0.619455,
+	 0.620057,  0.620659,  0.621260,  0.621861,  0.622461,  0.623061,  0.623661,  0.624260,
+	 0.624860,  0.625458,  0.626056,  0.626654,  0.627252,  0.627849,  0.628446,  0.629042,
+	 0.629638,  0.630234,  0.630829,  0.631424,  0.632019,  0.632613,  0.633207,  0.633800,
+	 0.634393,  0.634986,  0.635578,  0.636170,  0.636762,  0.637353,  0.637944,  0.638534,
+	 0.639124,  0.639714,  0.640303,  0.640892,  0.641481,  0.642069,  0.642657,  0.643245,
+	 0.643832,  0.644418,  0.645005,  0.645590,  0.646176,  0.646761,  0.647346,  0.647930,
+	 0.648514,  0.649098,  0.649681,  0.650264,  0.650847,  0.651429,  0.652011,  0.652592,
+	 0.653173,  0.653753,  0.654334,  0.654913,  0.655493,  0.656072,  0.656651,  0.657229,
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+	-0.841555, -0.841969, -0.842383, -0.842796, -0.843208, -0.843620, -0.844032, -0.844443,
+	-0.844854, -0.845264, -0.845673, -0.846082, -0.846491, -0.846899, -0.847307, -0.847714,
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+	-0.890449, -0.890797, -0.891146, -0.891493, -0.891841, -0.892187, -0.892534, -0.892879,
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+	-0.898674, -0.899011, -0.899346, -0.899681, -0.900016, -0.900350, -0.900683, -0.901016,
+	-0.901349, -0.901681, -0.902012, -0.902343, -0.902673, -0.903003, -0.903332, -0.903661,
+	-0.903989, -0.904317, -0.904644, -0.904971, -0.905297, -0.905622, -0.905947, -0.906272,
+	-0.906596, -0.906919, -0.907242, -0.907564, -0.907886, -0.908207, -0.908528, -0.908848,
+	-0.909168, -0.909487, -0.909806, -0.910124, -0.910441, -0.910758, -0.911075, -0.911391,
+	-0.911706, -0.912021, -0.912335, -0.912649, -0.912962, -0.913275, -0.913587, -0.913899,
+	-0.914210, -0.914520, -0.914830, -0.915140, -0.915449, -0.915757, -0.916065, -0.916372,
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+	-0.919114, -0.919416, -0.919717, -0.920018, -0.920318, -0.920618, -0.920917, -0.921216,
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+	-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,
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+	-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,
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+	-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 sinTable16384[8192] = {
+	 0.000000,  0.000383,  0.000767,  0.001150,  0.001534,  0.001917,  0.002301,  0.002684,
+	 0.003068,  0.003451,  0.003835,  0.004218,  0.004602,  0.004985,  0.005369,  0.005752,
+	 0.006136,  0.006519,  0.006903,  0.007286,  0.007670,  0.008053,  0.008437,  0.008820,
+	 0.009204,  0.009587,  0.009971,  0.010354,  0.010738,  0.011121,  0.011505,  0.011888,
+	 0.012272,  0.012655,  0.013038,  0.013422,  0.013805,  0.014189,  0.014572,  0.014956,
+	 0.015339,  0.015723,  0.016106,  0.016490,  0.016873,  0.017256,  0.017640,  0.018023,
+	 0.018407,  0.018790,  0.019174,  0.019557,  0.019940,  0.020324,  0.020707,  0.021091,
+	 0.021474,  0.021857,  0.022241,  0.022624,  0.023008,  0.023391,  0.023774,  0.024158,
+	 0.024541,  0.024925,  0.025308,  0.025691,  0.026075,  0.026458,  0.026841,  0.027225,
+	 0.027608,  0.027991,  0.028375,  0.028758,  0.029142,  0.029525,  0.029908,  0.030291,
+	 0.030675,  0.031058,  0.031441,  0.031825,  0.032208,  0.032591,  0.032975,  0.033358,
+	 0.033741,  0.034124,  0.034508,  0.034891,  0.035274,  0.035657,  0.036041,  0.036424,
+	 0.036807,  0.037190,  0.037574,  0.037957,  0.038340,  0.038723,  0.039107,  0.039490,
+	 0.039873,  0.040256,  0.040639,  0.041022,  0.041406,  0.041789,  0.042172,  0.042555,
+	 0.042938,  0.043321,  0.043705,  0.044088,  0.044471,  0.044854,  0.045237,  0.045620,
+	 0.046003,  0.046386,  0.046769,  0.047152,  0.047535,  0.047919,  0.048302,  0.048685,
+	 0.049068,  0.049451,  0.049834,  0.050217,  0.050600,  0.050983,  0.051366,  0.051749,
+	 0.052132,  0.052515,  0.052898,  0.053281,  0.053664,  0.054046,  0.054429,  0.054812,
+	 0.055195,  0.055578,  0.055961,  0.056344,  0.056727,  0.057110,  0.057493,  0.057875,
+	 0.058258,  0.058641,  0.059024,  0.059407,  0.059790,  0.060172,  0.060555,  0.060938,
+	 0.061321,  0.061704,  0.062086,  0.062469,  0.062852,  0.063234,  0.063617,  0.064000,
+	 0.064383,  0.064765,  0.065148,  0.065531,  0.065913,  0.066296,  0.066679,  0.067061,
+	 0.067444,  0.067827,  0.068209,  0.068592,  0.068974,  0.069357,  0.069739,  0.070122,
+	 0.070505,  0.070887,  0.071270,  0.071652,  0.072035,  0.072417,  0.072800,  0.073182,
+	 0.073565,  0.073947,  0.074329,  0.074712,  0.075094,  0.075477,  0.075859,  0.076241,
+	 0.076624,  0.077006,  0.077389,  0.077771,  0.078153,  0.078536,  0.078918,  0.079300,
+	 0.079682,  0.080065,  0.080447,  0.080829,  0.081211,  0.081594,  0.081976,  0.082358,
+	 0.082740,  0.083122,  0.083505,  0.083887,  0.084269,  0.084651,  0.085033,  0.085415,
+	 0.085797,  0.086179,  0.086561,  0.086943,  0.087326,  0.087708,  0.088090,  0.088472,
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+	-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,
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+	-0.999995, -0.999996, -0.999997, -0.999998, -0.999999, -0.999999, -1.000000, -1.000000
+};
+
+static const float sinTable32768[16384] = {
+	 0.000000,  0.000192,  0.000383,  0.000575,  0.000767,  0.000959,  0.001150,  0.001342,
+	 0.001534,  0.001726,  0.001917,  0.002109,  0.002301,  0.002493,  0.002684,  0.002876,
+	 0.003068,  0.003260,  0.003451,  0.003643,  0.003835,  0.004027,  0.004218,  0.004410,
+	 0.004602,  0.004794,  0.004985,  0.005177,  0.005369,  0.005561,  0.005752,  0.005944,
+	 0.006136,  0.006328,  0.006519,  0.006711,  0.006903,  0.007095,  0.007286,  0.007478,
+	 0.007670,  0.007862,  0.008053,  0.008245,  0.008437,  0.008629,  0.008820,  0.009012,
+	 0.009204,  0.009395,  0.009587,  0.009779,  0.009971,  0.010162,  0.010354,  0.010546,
+	 0.010738,  0.010929,  0.011121,  0.011313,  0.011505,  0.011696,  0.011888,  0.012080,
+	 0.012272,  0.012463,  0.012655,  0.012847,  0.013038,  0.013230,  0.013422,  0.013614,
+	 0.013805,  0.013997,  0.014189,  0.014381,  0.014572,  0.014764,  0.014956,  0.015147,
+	 0.015339,  0.015531,  0.015723,  0.015914,  0.016106,  0.016298,  0.016490,  0.016681,
+	 0.016873,  0.017065,  0.017256,  0.017448,  0.017640,  0.017832,  0.018023,  0.018215,
+	 0.018407,  0.018598,  0.018790,  0.018982,  0.019174,  0.019365,  0.019557,  0.019749,
+	 0.019940,  0.020132,  0.020324,  0.020516,  0.020707,  0.020899,  0.021091,  0.021282,
+	 0.021474,  0.021666,  0.021857,  0.022049,  0.022241,  0.022433,  0.022624,  0.022816,
+	 0.023008,  0.023199,  0.023391,  0.023583,  0.023774,  0.023966,  0.024158,  0.024350,
+	 0.024541,  0.024733,  0.024925,  0.025116,  0.025308,  0.025500,  0.025691,  0.025883,
+	 0.026075,  0.026266,  0.026458,  0.026650,  0.026841,  0.027033,  0.027225,  0.027416,
+	 0.027608,  0.027800,  0.027991,  0.028183,  0.028375,  0.028567,  0.028758,  0.028950,
+	 0.029142,  0.029333,  0.029525,  0.029717,  0.029908,  0.030100,  0.030291,  0.030483,
+	 0.030675,  0.030866,  0.031058,  0.031250,  0.031441,  0.031633,  0.031825,  0.032016,
+	 0.032208,  0.032400,  0.032591,  0.032783,  0.032975,  0.033166,  0.033358,  0.033550,
+	 0.033741,  0.033933,  0.034124,  0.034316,  0.034508,  0.034699,  0.034891,  0.035083,
+	 0.035274,  0.035466,  0.035657,  0.035849,  0.036041,  0.036232,  0.036424,  0.036616,
+	 0.036807,  0.036999,  0.037190,  0.037382,  0.037574,  0.037765,  0.037957,  0.038149,
+	 0.038340,  0.038532,  0.038723,  0.038915,  0.039107,  0.039298,  0.039490,  0.039681,
+	 0.039873,  0.040065,  0.040256,  0.040448,  0.040639,  0.040831,  0.041022,  0.041214,
+	 0.041406,  0.041597,  0.041789,  0.041980,  0.042172,  0.042364,  0.042555,  0.042747,
+	 0.042938,  0.043130,  0.043321,  0.043513,  0.043705,  0.043896,  0.044088,  0.044279,
+	 0.044471,  0.044662,  0.044854,  0.045045,  0.045237,  0.045429,  0.045620,  0.045812,
+	 0.046003,  0.046195,  0.046386,  0.046578,  0.046769,  0.046961,  0.047152,  0.047344,
+	 0.047535,  0.047727,  0.047919,  0.048110,  0.048302,  0.048493,  0.048685,  0.048876,
+	 0.049068,  0.049259,  0.049451,  0.049642,  0.049834,  0.050025,  0.050217,  0.050408,
+	 0.050600,  0.050791,  0.050983,  0.051174,  0.051366,  0.051557,  0.051749,  0.051940,
+	 0.052132,  0.052323,  0.052515,  0.052706,  0.052898,  0.053089,  0.053281,  0.053472,
+	 0.053664,  0.053855,  0.054046,  0.054238,  0.054429,  0.054621,  0.054812,  0.055004,
+	 0.055195,  0.055387,  0.055578,  0.055770,  0.055961,  0.056152,  0.056344,  0.056535,
+	 0.056727,  0.056918,  0.057110,  0.057301,  0.057493,  0.057684,  0.057875,  0.058067,
+	 0.058258,  0.058450,  0.058641,  0.058833,  0.059024,  0.059215,  0.059407,  0.059598,
+	 0.059790,  0.059981,  0.060172,  0.060364,  0.060555,  0.060747,  0.060938,  0.061129,
+	 0.061321,  0.061512,  0.061704,  0.061895,  0.062086,  0.062278,  0.062469,  0.062660,
+	 0.062852,  0.063043,  0.063234,  0.063426,  0.063617,  0.063809,  0.064000,  0.064191,
+	 0.064383,  0.064574,  0.064765,  0.064957,  0.065148,  0.065339,  0.065531,  0.065722,
+	 0.065913,  0.066105,  0.066296,  0.066487,  0.066679,  0.066870,  0.067061,  0.067253,
+	 0.067444,  0.067635,  0.067827,  0.068018,  0.068209,  0.068400,  0.068592,  0.068783,
+	 0.068974,  0.069166,  0.069357,  0.069548,  0.069739,  0.069931,  0.070122,  0.070313,
+	 0.070505,  0.070696,  0.070887,  0.071078,  0.071270,  0.071461,  0.071652,  0.071843,
+	 0.072035,  0.072226,  0.072417,  0.072608,  0.072800,  0.072991,  0.073182,  0.073373,
+	 0.073565,  0.073756,  0.073947,  0.074138,  0.074329,  0.074521,  0.074712,  0.074903,
+	 0.075094,  0.075286,  0.075477,  0.075668,  0.075859,  0.076050,  0.076241,  0.076433,
+	 0.076624,  0.076815,  0.077006,  0.077197,  0.077389,  0.077580,  0.077771,  0.077962,
+	 0.078153,  0.078344,  0.078536,  0.078727,  0.078918,  0.079109,  0.079300,  0.079491,
+	 0.079682,  0.079874,  0.080065,  0.080256,  0.080447,  0.080638,  0.080829,  0.081020,
+	 0.081211,  0.081403,  0.081594,  0.081785,  0.081976,  0.082167,  0.082358,  0.082549,
+	 0.082740,  0.082931,  0.083122,  0.083314,  0.083505,  0.083696,  0.083887,  0.084078,
+	 0.084269,  0.084460,  0.084651,  0.084842,  0.085033,  0.085224,  0.085415,  0.085606,
+	 0.085797,  0.085988,  0.086179,  0.086370,  0.086561,  0.086752,  0.086943,  0.087135,
+	 0.087326,  0.087517,  0.087708,  0.087899,  0.088090,  0.088281,  0.088472,  0.088663,
+	 0.088854,  0.089045,  0.089236,  0.089427,  0.089617,  0.089808,  0.089999,  0.090190,
+	 0.090381,  0.090572,  0.090763,  0.090954,  0.091145,  0.091336,  0.091527,  0.091718,
+	 0.091909,  0.092100,  0.092291,  0.092482,  0.092673,  0.092864,  0.093055,  0.093245,
+	 0.093436,  0.093627,  0.093818,  0.094009,  0.094200,  0.094391,  0.094582,  0.094773,
+	 0.094963,  0.095154,  0.095345,  0.095536,  0.095727,  0.095918,  0.096109,  0.096300,
+	 0.096490,  0.096681,  0.096872,  0.097063,  0.097254,  0.097445,  0.097635,  0.097826,
+	 0.098017,  0.098208,  0.098399,  0.098590,  0.098780,  0.098971,  0.099162,  0.099353,
+	 0.099544,  0.099734,  0.099925,  0.100116,  0.100307,  0.100498,  0.100688,  0.100879,
+	 0.101070,  0.101261,  0.101451,  0.101642,  0.101833,  0.102024,  0.102214,  0.102405,
+	 0.102596,  0.102787,  0.102977,  0.103168,  0.103359,  0.103550,  0.103740,  0.103931,
+	 0.104122,  0.104312,  0.104503,  0.104694,  0.104884,  0.105075,  0.105266,  0.105456,
+	 0.105647,  0.105838,  0.106028,  0.106219,  0.106410,  0.106600,  0.106791,  0.106982,
+	 0.107172,  0.107363,  0.107554,  0.107744,  0.107935,  0.108126,  0.108316,  0.108507,
+	 0.108697,  0.108888,  0.109079,  0.109269,  0.109460,  0.109650,  0.109841,  0.110032,
+	 0.110222,  0.110413,  0.110603,  0.110794,  0.110984,  0.111175,  0.111366,  0.111556,
+	 0.111747,  0.111937,  0.112128,  0.112318,  0.112509,  0.112699,  0.112890,  0.113080,
+	 0.113271,  0.113461,  0.113652,  0.113842,  0.114033,  0.114223,  0.114414,  0.114604,
+	 0.114795,  0.114985,  0.115176,  0.115366,  0.115557,  0.115747,  0.115938,  0.116128,
+	 0.116319,  0.116509,  0.116700,  0.116890,  0.117080,  0.117271,  0.117461,  0.117652,
+	 0.117842,  0.118032,  0.118223,  0.118413,  0.118604,  0.118794,  0.118984,  0.119175,
+	 0.119365,  0.119556,  0.119746,  0.119936,  0.120127,  0.120317,  0.120507,  0.120698,
+	 0.120888,  0.121078,  0.121269,  0.121459,  0.121649,  0.121840,  0.122030,  0.122220,
+	 0.122411,  0.122601,  0.122791,  0.122982,  0.123172,  0.123362,  0.123552,  0.123743,
+	 0.123933,  0.124123,  0.124314,  0.124504,  0.124694,  0.124884,  0.125075,  0.125265,
+	 0.125455,  0.125645,  0.125835,  0.126026,  0.126216,  0.126406,  0.126596,  0.126787,
+	 0.126977,  0.127167,  0.127357,  0.127547,  0.127737,  0.127928,  0.128118,  0.128308,
+	 0.128498,  0.128688,  0.128878,  0.129069,  0.129259,  0.129449,  0.129639,  0.129829,
+	 0.130019,  0.130209,  0.130399,  0.130590,  0.130780,  0.130970,  0.131160,  0.131350,
+	 0.131540,  0.131730,  0.131920,  0.132110,  0.132300,  0.132490,  0.132680,  0.132870,
+	 0.133061,  0.133251,  0.133441,  0.133631,  0.133821,  0.134011,  0.134201,  0.134391,
+	 0.134581,  0.134771,  0.134961,  0.135151,  0.135341,  0.135531,  0.135721,  0.135911,
+	 0.136101,  0.136291,  0.136480,  0.136670,  0.136860,  0.137050,  0.137240,  0.137430,
+	 0.137620,  0.137810,  0.138000,  0.138190,  0.138380,  0.138570,  0.138760,  0.138949,
+	 0.139139,  0.139329,  0.139519,  0.139709,  0.139899,  0.140089,  0.140279,  0.140468,
+	 0.140658,  0.140848,  0.141038,  0.141228,  0.141418,  0.141607,  0.141797,  0.141987,
+	 0.142177,  0.142367,  0.142556,  0.142746,  0.142936,  0.143126,  0.143316,  0.143505,
+	 0.143695,  0.143885,  0.144075,  0.144264,  0.144454,  0.144644,  0.144833,  0.145023,
+	 0.145213,  0.145403,  0.145592,  0.145782,  0.145972,  0.146161,  0.146351,  0.146541,
+	 0.146730,  0.146920,  0.147110,  0.147299,  0.147489,  0.147679,  0.147868,  0.148058,
+	 0.148248,  0.148437,  0.148627,  0.148817,  0.149006,  0.149196,  0.149385,  0.149575,
+	 0.149765,  0.149954,  0.150144,  0.150333,  0.150523,  0.150712,  0.150902,  0.151092,
+	 0.151281,  0.151471,  0.151660,  0.151850,  0.152039,  0.152229,  0.152418,  0.152608,
+	 0.152797,  0.152987,  0.153176,  0.153366,  0.153555,  0.153745,  0.153934,  0.154124,
+	 0.154313,  0.154502,  0.154692,  0.154881,  0.155071,  0.155260,  0.155450,  0.155639,
+	 0.155828,  0.156018,  0.156207,  0.156397,  0.156586,  0.156775,  0.156965,  0.157154,
+	 0.157343,  0.157533,  0.157722,  0.157912,  0.158101,  0.158290,  0.158480,  0.158669,
+	 0.158858,  0.159047,  0.159237,  0.159426,  0.159615,  0.159805,  0.159994,  0.160183,
+	 0.160372,  0.160562,  0.160751,  0.160940,  0.161129,  0.161319,  0.161508,  0.161697,
+	 0.161886,  0.162076,  0.162265,  0.162454,  0.162643,  0.162832,  0.163022,  0.163211,
+	 0.163400,  0.163589,  0.163778,  0.163967,  0.164157,  0.164346,  0.164535,  0.164724,
+	 0.164913,  0.165102,  0.165291,  0.165480,  0.165670,  0.165859,  0.166048,  0.166237,
+	 0.166426,  0.166615,  0.166804,  0.166993,  0.167182,  0.167371,  0.167560,  0.167749,
+	 0.167938,  0.168127,  0.168316,  0.168505,  0.168694,  0.168883,  0.169072,  0.169261,
+	 0.169450,  0.169639,  0.169828,  0.170017,  0.170206,  0.170395,  0.170584,  0.170773,
+	 0.170962,  0.171151,  0.171340,  0.171529,  0.171718,  0.171906,  0.172095,  0.172284,
+	 0.172473,  0.172662,  0.172851,  0.173040,  0.173229,  0.173417,  0.173606,  0.173795,
+	 0.173984,  0.174173,  0.174362,  0.174550,  0.174739,  0.174928,  0.175117,  0.175305,
+	 0.175494,  0.175683,  0.175872,  0.176061,  0.176249,  0.176438,  0.176627,  0.176815,
+	 0.177004,  0.177193,  0.177382,  0.177570,  0.177759,  0.177948,  0.178136,  0.178325,
+	 0.178514,  0.178702,  0.178891,  0.179080,  0.179268,  0.179457,  0.179646,  0.179834,
+	 0.180023,  0.180212,  0.180400,  0.180589,  0.180777,  0.180966,  0.181154,  0.181343,
+	 0.181532,  0.181720,  0.181909,  0.182097,  0.182286,  0.182474,  0.182663,  0.182851,
+	 0.183040,  0.183228,  0.183417,  0.183605,  0.183794,  0.183982,  0.184171,  0.184359,
+	 0.184548,  0.184736,  0.184925,  0.185113,  0.185301,  0.185490,  0.185678,  0.185867,
+	 0.186055,  0.186244,  0.186432,  0.186620,  0.186809,  0.186997,  0.187185,  0.187374,
+	 0.187562,  0.187750,  0.187939,  0.188127,  0.188315,  0.188504,  0.188692,  0.188880,
+	 0.189069,  0.189257,  0.189445,  0.189634,  0.189822,  0.190010,  0.190198,  0.190387,
+	 0.190575,  0.190763,  0.190951,  0.191139,  0.191328,  0.191516,  0.191704,  0.191892,
+	 0.192080,  0.192269,  0.192457,  0.192645,  0.192833,  0.193021,  0.193209,  0.193397,
+	 0.193586,  0.193774,  0.193962,  0.194150,  0.194338,  0.194526,  0.194714,  0.194902,
+	 0.195090,  0.195278,  0.195466,  0.195654,  0.195843,  0.196031,  0.196219,  0.196407,
+	 0.196595,  0.196783,  0.196971,  0.197159,  0.197347,  0.197535,  0.197722,  0.197910,
+	 0.198098,  0.198286,  0.198474,  0.198662,  0.198850,  0.199038,  0.199226,  0.199414,
+	 0.199602,  0.199790,  0.199978,  0.200165,  0.200353,  0.200541,  0.200729,  0.200917,
+	 0.201105,  0.201292,  0.201480,  0.201668,  0.201856,  0.202044,  0.202231,  0.202419,
+	 0.202607,  0.202795,  0.202983,  0.203170,  0.203358,  0.203546,  0.203734,  0.203921,
+	 0.204109,  0.204297,  0.204484,  0.204672,  0.204860,  0.205047,  0.205235,  0.205423,
+	 0.205610,  0.205798,  0.205986,  0.206173,  0.206361,  0.206549,  0.206736,  0.206924,
+	 0.207111,  0.207299,  0.207487,  0.207674,  0.207862,  0.208049,  0.208237,  0.208424,
+	 0.208612,  0.208799,  0.208987,  0.209174,  0.209362,  0.209549,  0.209737,  0.209924,
+	 0.210112,  0.210299,  0.210487,  0.210674,  0.210862,  0.211049,  0.211237,  0.211424,
+	 0.211611,  0.211799,  0.211986,  0.212174,  0.212361,  0.212548,  0.212736,  0.212923,
+	 0.213110,  0.213298,  0.213485,  0.213672,  0.213860,  0.214047,  0.214234,  0.214422,
+	 0.214609,  0.214796,  0.214983,  0.215171,  0.215358,  0.215545,  0.215732,  0.215920,
+	 0.216107,  0.216294,  0.216481,  0.216668,  0.216856,  0.217043,  0.217230,  0.217417,
+	 0.217604,  0.217791,  0.217979,  0.218166,  0.218353,  0.218540,  0.218727,  0.218914,
+	 0.219101,  0.219288,  0.219475,  0.219662,  0.219850,  0.220037,  0.220224,  0.220411,
+	 0.220598,  0.220785,  0.220972,  0.221159,  0.221346,  0.221533,  0.221720,  0.221907,
+	 0.222094,  0.222281,  0.222468,  0.222654,  0.222841,  0.223028,  0.223215,  0.223402,
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+	-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 sinTable65536[32768] = {
+	 0.000000,  0.000096,  0.000192,  0.000288,  0.000383,  0.000479,  0.000575,  0.000671,
+	 0.000767,  0.000863,  0.000959,  0.001055,  0.001150,  0.001246,  0.001342,  0.001438,
+	 0.001534,  0.001630,  0.001726,  0.001822,  0.001917,  0.002013,  0.002109,  0.002205,
+	 0.002301,  0.002397,  0.002493,  0.002589,  0.002684,  0.002780,  0.002876,  0.002972,
+	 0.003068,  0.003164,  0.003260,  0.003356,  0.003451,  0.003547,  0.003643,  0.003739,
+	 0.003835,  0.003931,  0.004027,  0.004123,  0.004218,  0.004314,  0.004410,  0.004506,
+	 0.004602,  0.004698,  0.004794,  0.004890,  0.004985,  0.005081,  0.005177,  0.005273,
+	 0.005369,  0.005465,  0.005561,  0.005657,  0.005752,  0.005848,  0.005944,  0.006040,
+	 0.006136,  0.006232,  0.006328,  0.006424,  0.006519,  0.006615,  0.006711,  0.006807,
+	 0.006903,  0.006999,  0.007095,  0.007190,  0.007286,  0.007382,  0.007478,  0.007574,
+	 0.007670,  0.007766,  0.007862,  0.007957,  0.008053,  0.008149,  0.008245,  0.008341,
+	 0.008437,  0.008533,  0.008629,  0.008724,  0.008820,  0.008916,  0.009012,  0.009108,
+	 0.009204,  0.009300,  0.009395,  0.009491,  0.009587,  0.009683,  0.009779,  0.009875,
+	 0.009971,  0.010067,  0.010162,  0.010258,  0.010354,  0.010450,  0.010546,  0.010642,
+	 0.010738,  0.010834,  0.010929,  0.011025,  0.011121,  0.011217,  0.011313,  0.011409,
+	 0.011505,  0.011600,  0.011696,  0.011792,  0.011888,  0.011984,  0.012080,  0.012176,
+	 0.012272,  0.012367,  0.012463,  0.012559,  0.012655,  0.012751,  0.012847,  0.012943,
+	 0.013038,  0.013134,  0.013230,  0.013326,  0.013422,  0.013518,  0.013614,  0.013710,
+	 0.013805,  0.013901,  0.013997,  0.014093,  0.014189,  0.014285,  0.014381,  0.014476,
+	 0.014572,  0.014668,  0.014764,  0.014860,  0.014956,  0.015052,  0.015147,  0.015243,
+	 0.015339,  0.015435,  0.015531,  0.015627,  0.015723,  0.015819,  0.015914,  0.016010,
+	 0.016106,  0.016202,  0.016298,  0.016394,  0.016490,  0.016585,  0.016681,  0.016777,
+	 0.016873,  0.016969,  0.017065,  0.017161,  0.017256,  0.017352,  0.017448,  0.017544,
+	 0.017640,  0.017736,  0.017832,  0.017927,  0.018023,  0.018119,  0.018215,  0.018311,
+	 0.018407,  0.018503,  0.018598,  0.018694,  0.018790,  0.018886,  0.018982,  0.019078,
+	 0.019174,  0.019269,  0.019365,  0.019461,  0.019557,  0.019653,  0.019749,  0.019845,
+	 0.019940,  0.020036,  0.020132,  0.020228,  0.020324,  0.020420,  0.020516,  0.020611,
+	 0.020707,  0.020803,  0.020899,  0.020995,  0.021091,  0.021187,  0.021282,  0.021378,
+	 0.021474,  0.021570,  0.021666,  0.021762,  0.021857,  0.021953,  0.022049,  0.022145,
+	 0.022241,  0.022337,  0.022433,  0.022528,  0.022624,  0.022720,  0.022816,  0.022912,
+	 0.023008,  0.023104,  0.023199,  0.023295,  0.023391,  0.023487,  0.023583,  0.023679,
+	 0.023774,  0.023870,  0.023966,  0.024062,  0.024158,  0.024254,  0.024350,  0.024445,
+	 0.024541,  0.024637,  0.024733,  0.024829,  0.024925,  0.025020,  0.025116,  0.025212,
+	 0.025308,  0.025404,  0.025500,  0.025596,  0.025691,  0.025787,  0.025883,  0.025979,
+	 0.026075,  0.026171,  0.026266,  0.026362,  0.026458,  0.026554,  0.026650,  0.026746,
+	 0.026841,  0.026937,  0.027033,  0.027129,  0.027225,  0.027321,  0.027416,  0.027512,
+	 0.027608,  0.027704,  0.027800,  0.027896,  0.027991,  0.028087,  0.028183,  0.028279,
+	 0.028375,  0.028471,  0.028567,  0.028662,  0.028758,  0.028854,  0.028950,  0.029046,
+	 0.029142,  0.029237,  0.029333,  0.029429,  0.029525,  0.029621,  0.029717,  0.029812,
+	 0.029908,  0.030004,  0.030100,  0.030196,  0.030291,  0.030387,  0.030483,  0.030579,
+	 0.030675,  0.030771,  0.030866,  0.030962,  0.031058,  0.031154,  0.031250,  0.031346,
+	 0.031441,  0.031537,  0.031633,  0.031729,  0.031825,  0.031921,  0.032016,  0.032112,
+	 0.032208,  0.032304,  0.032400,  0.032495,  0.032591,  0.032687,  0.032783,  0.032879,
+	 0.032975,  0.033070,  0.033166,  0.033262,  0.033358,  0.033454,  0.033550,  0.033645,
+	 0.033741,  0.033837,  0.033933,  0.034029,  0.034124,  0.034220,  0.034316,  0.034412,
+	 0.034508,  0.034604,  0.034699,  0.034795,  0.034891,  0.034987,  0.035083,  0.035178,
+	 0.035274,  0.035370,  0.035466,  0.035562,  0.035657,  0.035753,  0.035849,  0.035945,
+	 0.036041,  0.036137,  0.036232,  0.036328,  0.036424,  0.036520,  0.036616,  0.036711,
+	 0.036807,  0.036903,  0.036999,  0.037095,  0.037190,  0.037286,  0.037382,  0.037478,
+	 0.037574,  0.037669,  0.037765,  0.037861,  0.037957,  0.038053,  0.038149,  0.038244,
+	 0.038340,  0.038436,  0.038532,  0.038628,  0.038723,  0.038819,  0.038915,  0.039011,
+	 0.039107,  0.039202,  0.039298,  0.039394,  0.039490,  0.039586,  0.039681,  0.039777,
+	 0.039873,  0.039969,  0.040065,  0.040160,  0.040256,  0.040352,  0.040448,  0.040544,
+	 0.040639,  0.040735,  0.040831,  0.040927,  0.041022,  0.041118,  0.041214,  0.041310,
+	 0.041406,  0.041501,  0.041597,  0.041693,  0.041789,  0.041885,  0.041980,  0.042076,
+	 0.042172,  0.042268,  0.042364,  0.042459,  0.042555,  0.042651,  0.042747,  0.042842,
+	 0.042938,  0.043034,  0.043130,  0.043226,  0.043321,  0.043417,  0.043513,  0.043609,
+	 0.043705,  0.043800,  0.043896,  0.043992,  0.044088,  0.044183,  0.044279,  0.044375,
+	 0.044471,  0.044567,  0.044662,  0.044758,  0.044854,  0.044950,  0.045045,  0.045141,
+	 0.045237,  0.045333,  0.045429,  0.045524,  0.045620,  0.045716,  0.045812,  0.045907,
+	 0.046003,  0.046099,  0.046195,  0.046290,  0.046386,  0.046482,  0.046578,  0.046674,
+	 0.046769,  0.046865,  0.046961,  0.047057,  0.047152,  0.047248,  0.047344,  0.047440,
+	 0.047535,  0.047631,  0.047727,  0.047823,  0.047919,  0.048014,  0.048110,  0.048206,
+	 0.048302,  0.048397,  0.048493,  0.048589,  0.048685,  0.048780,  0.048876,  0.048972,
+	 0.049068,  0.049163,  0.049259,  0.049355,  0.049451,  0.049546,  0.049642,  0.049738,
+	 0.049834,  0.049929,  0.050025,  0.050121,  0.050217,  0.050312,  0.050408,  0.050504,
+	 0.050600,  0.050696,  0.050791,  0.050887,  0.050983,  0.051078,  0.051174,  0.051270,
+	 0.051366,  0.051461,  0.051557,  0.051653,  0.051749,  0.051844,  0.051940,  0.052036,
+	 0.052132,  0.052227,  0.052323,  0.052419,  0.052515,  0.052610,  0.052706,  0.052802,
+	 0.052898,  0.052993,  0.053089,  0.053185,  0.053281,  0.053376,  0.053472,  0.053568,
+	 0.053664,  0.053759,  0.053855,  0.053951,  0.054046,  0.054142,  0.054238,  0.054334,
+	 0.054429,  0.054525,  0.054621,  0.054717,  0.054812,  0.054908,  0.055004,  0.055100,
+	 0.055195,  0.055291,  0.055387,  0.055482,  0.055578,  0.055674,  0.055770,  0.055865,
+	 0.055961,  0.056057,  0.056152,  0.056248,  0.056344,  0.056440,  0.056535,  0.056631,
+	 0.056727,  0.056823,  0.056918,  0.057014,  0.057110,  0.057205,  0.057301,  0.057397,
+	 0.057493,  0.057588,  0.057684,  0.057780,  0.057875,  0.057971,  0.058067,  0.058163,
+	 0.058258,  0.058354,  0.058450,  0.058545,  0.058641,  0.058737,  0.058833,  0.058928,
+	 0.059024,  0.059120,  0.059215,  0.059311,  0.059407,  0.059502,  0.059598,  0.059694,
+	 0.059790,  0.059885,  0.059981,  0.060077,  0.060172,  0.060268,  0.060364,  0.060459,
+	 0.060555,  0.060651,  0.060747,  0.060842,  0.060938,  0.061034,  0.061129,  0.061225,
+	 0.061321,  0.061416,  0.061512,  0.061608,  0.061704,  0.061799,  0.061895,  0.061991,
+	 0.062086,  0.062182,  0.062278,  0.062373,  0.062469,  0.062565,  0.062660,  0.062756,
+	 0.062852,  0.062947,  0.063043,  0.063139,  0.063234,  0.063330,  0.063426,  0.063522,
+	 0.063617,  0.063713,  0.063809,  0.063904,  0.064000,  0.064096,  0.064191,  0.064287,
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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 *sinTables[17] = {
+	0           , 0           , 0            , 0            ,
+	sinTable16  , sinTable32  , sinTable64   , sinTable128  ,
+	sinTable256 , sinTable512 , sinTable1024 , sinTable2048 ,
+	sinTable4096, sinTable8192, sinTable16384, sinTable32768,
+	sinTable65536
+};
+
+} // End of namespace Common
+
+#endif // COMMON_SINETABLES_H
author	Matthew Hoops	2011-07-02 15:15:04 -0400
committer	Matthew Hoops	2011-07-02 15:15:04 -0400
commit	1d4ec6f1d18f68f77d5fbe4e8911fcf96cd35c51 (patch)
tree	f6f6bb9173000a0c1b40e8b2cedc66abf7c0a11c /common
parent	6ff94e255436e6a65824d76f27021840f7106c15 (diff)
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