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266 lines
13 KiB
C
266 lines
13 KiB
C
/*
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* IBM Accurate Mathematical Library
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* Written by International Business Machines Corp.
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* Copyright (C) 2001-2014 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation; either version 2.1 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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/******************************************************************/
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/* */
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/* MODULE_NAME:utan.h */
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/* */
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/* common data and variables prototype and definition */
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/******************************************************************/
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#ifndef UTAN_H
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#define UTAN_H
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#ifdef BIG_ENDI
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static const number
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/* polynomial I */
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/**/ d3 = {{0x3FD55555, 0x55555555} }, /* 0.333... */
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/**/ d5 = {{0x3FC11111, 0x111107C6} }, /* 0.133... */
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/**/ d7 = {{0x3FABA1BA, 0x1CDB8745} }, /* . */
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/**/ d9 = {{0x3F9664ED, 0x49CFC666} }, /* . */
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/**/ d11 = {{0x3F82385A, 0x3CF2E4EA} }, /* . */
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/* polynomial II */
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/**/ a3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
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/**/ aa3 = {{0x3c755555, 0x55555555} }, /* 1/3-a3 */
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/**/ a5 = {{0x3fc11111, 0x11111111} }, /* 2/15 */
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/**/ aa5 = {{0x3c411111, 0x11111111} }, /* 2/15-a5 */
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/**/ a7 = {{0x3faba1ba, 0x1ba1ba1c} }, /* 17/315 */
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/**/ aa7 = {{0xbc479179, 0x17917918} }, /* ()-a7 */
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/**/ a9 = {{0x3f9664f4, 0x882c10fa} }, /* 62/2835 */
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/**/ aa9 = {{0xbc09a528, 0x8b6c44fd} }, /* ()-a9 */
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/**/ a11 = {{0x3f8226e3, 0x55e6c23d} }, /* . */
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/**/ aa11 = {{0xbc2c292b, 0x8f1a2c13} }, /* . */
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/**/ a13 = {{0x3f6d6d3d, 0x0e157de0} }, /* . */
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/**/ aa13 = {{0xbc0280cf, 0xc968d971} }, /* . */
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/**/ a15 = {{0x3f57da36, 0x452b75e3} }, /* . */
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#if 0
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/**/ aa15 = {{0xbbf25789, 0xb285d2ed} }, /* . */
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#endif
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/**/ a17 = {{0x3f435582, 0x48036744} }, /* . */
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#if 0
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/**/ aa17 = {{0x3be488d9, 0x563f1f23} }, /* . */
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#endif
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/**/ a19 = {{0x3f2f57d7, 0x734d1664} }, /* . */
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#if 0
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/**/ aa19 = {{0x3bb0d55a, 0x913ccb50} }, /* . */
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#endif
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/**/ a21 = {{0x3f1967e1, 0x8afcafad} }, /* . */
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#if 0
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/**/ aa21 = {{0xbbbd7614, 0xa42d44e6} }, /* . */
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#endif
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/**/ a23 = {{0x3f0497d8, 0xeea25259} }, /* . */
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#if 0
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/**/ aa23 = {{0x3b99f2d0, 0x2e4d2863} }, /* . */
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#endif
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/**/ a25 = {{0x3ef0b132, 0xd39a6050} }, /* . */
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#if 0
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/**/ aa25 = {{0x3b93b274, 0xc2c19614} }, /* . */
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#endif
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/**/ a27 = {{0x3edb0f72, 0xd3ee24e9} }, /* . */
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#if 0
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/**/ aa27 = {{0x3b61688d, 0xdd595609} }, /* . */
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#endif
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/* polynomial III */
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/**/ e0 = {{0x3FD55555, 0x55554DBD} }, /* . */
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/**/ e1 = {{0x3FC11112, 0xE0A6B45F} }, /* . */
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/* constants */
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/**/ mfftnhf = {{0xc02f0000, 0x00000000} }, /*-15.5 */
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/**/ g1 = {{0x3e4b096c, 0x00000000} }, /* 1.259e-8 */
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/**/ g2 = {{0x3faf212d, 0x00000000} }, /* 0.0608 */
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/**/ g3 = {{0x3fe92f1a, 0x00000000} }, /* 0.787 */
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/**/ g4 = {{0x40390000, 0x00000000} }, /* 25.0 */
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/**/ g5 = {{0x4197d784, 0x00000000} }, /* 1e8 */
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/**/ gy1 = {{0x3e7ad7f2, 0x9abcaf48} }, /* 1e-7 */
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/**/ gy2 = {{0x3faf212d, 0x00000000} }, /* 0.0608 */
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/**/ u1 = {{0x3cc8c33a, 0x00000000} }, /* 6.873e-16 */
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/**/ u2 = {{0x3983dc4d, 0x00000000} }, /* 1.224e-31 */
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/**/ u3 = {{0x3c78e14b, 0x00000000} }, /* 2.158e-17 */
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/**/ ua3 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
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/**/ ub3 = {{0x3cc81898, 0x00000000} }, /* 6.688e-16 */
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/**/ u4 = {{0x399856c2, 0x00000000} }, /* 3e-31 */
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/**/ u5 = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
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/**/ u6 = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
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/**/ u7 = {{0x39903beb, 0x00000000} }, /* 2.001e-31 */
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/**/ u8 = {{0x399c56ae, 0x00000000} }, /* 3.493e-31 */
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/**/ u9 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
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/**/ ua9 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
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/**/ ub9 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
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/**/ u10 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
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/**/ ua10 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
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/**/ ub10 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
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/**/ u11 = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
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/**/ u12 = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
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/**/ u13 = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
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/**/ u14 = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
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/**/ u15 = {{0x3ab5767a, 0x00000000} }, /* 6.935e-26 */
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/**/ u16 = {{0x3ab57744, 0x00000000} }, /* 6.936e-26 */
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/**/ u17 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
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/**/ ua17 = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
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/**/ ub17 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
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/**/ u18 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
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/**/ ua18 = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
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/**/ ub18 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
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/**/ u19 = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
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/**/ u20 = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
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/**/ u21 = {{0x3c3bb9b8, 0x00000000} }, /* 1.503e-18 */
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/**/ u22 = {{0x3c392e08, 0x00000000} }, /* 1.365e-18 */
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/**/ u23 = {{0x3a0ce706, 0x00000000} }, /* 4.560e-29 */
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/**/ u24 = {{0x3a0cff5d, 0x00000000} }, /* 4.575e-29 */
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/**/ u25 = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
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/**/ ua25 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
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/**/ ub25 = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
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/**/ u26 = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
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/**/ ua26 = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
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/**/ ub26 = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
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/**/ u27 = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
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/**/ u28 = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
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/**/ mp1 = {{0x3FF921FB, 0x58000000} },
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/**/ mp2 = {{0xBE4DDE97, 0x3C000000} },
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/**/ mp3 = {{0xBC8CB3B3, 0x99D747F2} },
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/**/ pp3 = {{0xBC8CB3B3, 0x98000000} },
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/**/ pp4 = {{0xbacd747f, 0x23e32ed7} },
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/**/ hpinv = {{0x3FE45F30, 0x6DC9C883} },
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/**/ toint = {{0x43380000, 0x00000000} };
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#else
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#ifdef LITTLE_ENDI
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static const number
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/* polynomial I */
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/**/ d3 = {{0x55555555, 0x3FD55555} }, /* 0.333... */
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/**/ d5 = {{0x111107C6, 0x3FC11111} }, /* 0.133... */
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/**/ d7 = {{0x1CDB8745, 0x3FABA1BA} }, /* . */
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/**/ d9 = {{0x49CFC666, 0x3F9664ED} }, /* . */
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/**/ d11 = {{0x3CF2E4EA, 0x3F82385A} }, /* . */
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/* polynomial II */
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/**/ a3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
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/**/ aa3 = {{0x55555555, 0x3c755555} }, /* 1/3-a3 */
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/**/ a5 = {{0x11111111, 0x3fc11111} }, /* 2/15 */
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/**/ aa5 = {{0x11111111, 0x3c411111} }, /* 2/15-a5 */
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/**/ a7 = {{0x1ba1ba1c, 0x3faba1ba} }, /* 17/315 */
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/**/ aa7 = {{0x17917918, 0xbc479179} }, /* ()-a7 */
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/**/ a9 = {{0x882c10fa, 0x3f9664f4} }, /* 62/2835 */
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/**/ aa9 = {{0x8b6c44fd, 0xbc09a528} }, /* ()-a9 */
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/**/ a11 = {{0x55e6c23d, 0x3f8226e3} }, /* . */
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/**/ aa11 = {{0x8f1a2c13, 0xbc2c292b} }, /* . */
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/**/ a13 = {{0x0e157de0, 0x3f6d6d3d} }, /* . */
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/**/ aa13 = {{0xc968d971, 0xbc0280cf} }, /* . */
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/**/ a15 = {{0x452b75e3, 0x3f57da36} }, /* . */
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#if 0
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/**/ aa15 = {{0xb285d2ed, 0xbbf25789} }, /* . */
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#endif
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/**/ a17 = {{0x48036744, 0x3f435582} }, /* . */
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#if 0
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/**/ aa17 = {{0x563f1f23, 0x3be488d9} }, /* . */
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#endif
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/**/ a19 = {{0x734d1664, 0x3f2f57d7} }, /* . */
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#if 0
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/**/ aa19 = {{0x913ccb50, 0x3bb0d55a} }, /* . */
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#endif
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/**/ a21 = {{0x8afcafad, 0x3f1967e1} }, /* . */
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#if 0
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/**/ aa21 = {{0xa42d44e6, 0xbbbd7614} }, /* . */
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#endif
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/**/ a23 = {{0xeea25259, 0x3f0497d8} }, /* . */
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#if 0
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/**/ aa23 = {{0x2e4d2863, 0x3b99f2d0} }, /* . */
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#endif
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/**/ a25 = {{0xd39a6050, 0x3ef0b132} }, /* . */
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#if 0
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/**/ aa25 = {{0xc2c19614, 0x3b93b274} }, /* . */
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#endif
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/**/ a27 = {{0xd3ee24e9, 0x3edb0f72} }, /* . */
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#if 0
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/**/ aa27 = {{0xdd595609, 0x3b61688d} }, /* . */
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#endif
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/* polynomial III */
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/**/ e0 = {{0x55554DBD, 0x3FD55555} }, /* . */
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/**/ e1 = {{0xE0A6B45F, 0x3FC11112} }, /* . */
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/* constants */
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/**/ mfftnhf = {{0x00000000, 0xc02f0000} }, /*-15.5 */
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/**/ g1 = {{0x00000000, 0x3e4b096c} }, /* 1.259e-8 */
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/**/ g2 = {{0x00000000, 0x3faf212d} }, /* 0.0608 */
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/**/ g3 = {{0x00000000, 0x3fe92f1a} }, /* 0.787 */
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/**/ g4 = {{0x00000000, 0x40390000} }, /* 25.0 */
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/**/ g5 = {{0x00000000, 0x4197d784} }, /* 1e8 */
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/**/ gy1 = {{0x9abcaf48, 0x3e7ad7f2} }, /* 1e-7 */
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/**/ gy2 = {{0x00000000, 0x3faf212d} }, /* 0.0608 */
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/**/ u1 = {{0x00000000, 0x3cc8c33a} }, /* 6.873e-16 */
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/**/ u2 = {{0x00000000, 0x3983dc4d} }, /* 1.224e-31 */
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/**/ u3 = {{0x00000000, 0x3c78e14b} }, /* 2.158e-17 */
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/**/ ua3 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
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/**/ ub3 = {{0x00000000, 0x3cc81898} }, /* 6.688e-16 */
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/**/ u4 = {{0x00000000, 0x399856c2} }, /* 3e-31 */
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/**/ u5 = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
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/**/ u6 = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
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/**/ u7 = {{0x00000000, 0x39903beb} }, /* 2.001e-31 */
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/**/ u8 = {{0x00000000, 0x399c56ae} }, /* 3.493e-31 */
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/**/ u9 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
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/**/ ua9 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
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/**/ ub9 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
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/**/ u10 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
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/**/ ua10 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
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/**/ ub10 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
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/**/ u11 = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
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/**/ u12 = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
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/**/ u13 = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
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/**/ u14 = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
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/**/ u15 = {{0x00000000, 0x3ab5767a} }, /* 6.935e-26 */
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/**/ u16 = {{0x00000000, 0x3ab57744} }, /* 6.936e-26 */
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/**/ u17 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
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/**/ ua17 = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
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/**/ ub17 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
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/**/ u18 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
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/**/ ua18 = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
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/**/ ub18 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
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/**/ u19 = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
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/**/ u20 = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
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/**/ u21 = {{0x00000000, 0x3c3bb9b8} }, /* 1.503e-18 */
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/**/ u22 = {{0x00000000, 0x3c392e08} }, /* 1.365e-18 */
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/**/ u23 = {{0x00000000, 0x3a0ce706} }, /* 4.560e-29 */
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/**/ u24 = {{0x00000000, 0x3a0cff5d} }, /* 4.575e-29 */
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/**/ u25 = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
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/**/ ua25 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
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/**/ ub25 = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
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/**/ u26 = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
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/**/ ua26 = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
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/**/ ub26 = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
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/**/ u27 = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
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/**/ u28 = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
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/**/ mp1 = {{0x58000000, 0x3FF921FB} },
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/**/ mp2 = {{0x3C000000, 0xBE4DDE97} },
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/**/ mp3 = {{0x99D747F2, 0xBC8CB3B3} },
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/**/ pp3 = {{0x98000000, 0xBC8CB3B3} },
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/**/ pp4 = {{0x23e32ed7, 0xbacd747f} },
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/**/ hpinv = {{0x6DC9C883, 0x3FE45F30} },
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/**/ toint = {{0x00000000, 0x43380000} };
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#endif
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#endif
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#endif
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