612 lines
22 KiB
C
612 lines
22 KiB
C
/* Shared data between exp, exp2 and pow.
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Copyright (c) 2018 Arm Ltd. All rights reserved.
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SPDX-License-Identifier: BSD-3-Clause
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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3. The name of the company may not be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS'' AND ANY EXPRESS OR IMPLIED
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WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
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MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
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TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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#include "fdlibm.h"
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#if !__OBSOLETE_MATH
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#include "math_config.h"
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#define N (1 << EXP_TABLE_BITS)
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const struct exp_data __exp_data = {
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// N/ln2
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.invln2N = 0x1.71547652b82fep0 * N,
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// -ln2/N
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#if N == 64
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.negln2hiN = -0x1.62e42fefa0000p-7,
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.negln2loN = -0x1.cf79abc9e3b3ap-46,
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#elif N == 128
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.negln2hiN = -0x1.62e42fefa0000p-8,
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.negln2loN = -0x1.cf79abc9e3b3ap-47,
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#elif N == 256
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.negln2hiN = -0x1.62e42fefc0000p-9,
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.negln2loN = 0x1.c610ca86c3899p-45,
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#endif
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// Used for rounding when !TOINT_INTRINSICS
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#if EXP_USE_TOINT_NARROW
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.shift = 0x1800000000.8p0,
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#else
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.shift = 0x1.8p52,
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#endif
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// exp polynomial coefficients.
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.poly = {
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#if N == 64 && EXP_POLY_ORDER == 5 && !EXP_POLY_WIDE
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// abs error: 1.5543*2^-60
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// ulp error: 0.529 (0.533 without fma)
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// if |x| < ln2/128+eps
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// abs error if |x| < ln2/64: 1.7157*2^-50
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0x1.fffffffffdbcdp-2,
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0x1.555555555444cp-3,
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0x1.555573c6a9f7dp-5,
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0x1.1111266d28935p-7,
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#elif N == 64 && EXP_POLY_ORDER == 6 && EXP_POLY_WIDE
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// abs error: 1.6735*2^-64
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// ulp error: 0.518 (0.522 without fma)
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// if |x| < ln2/64
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0x1.5555555548f9ap-3,
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0x1.555555554bf5dp-5,
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0x1.11115b75f0f4dp-7,
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0x1.6c171a6b6303ep-10,
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#elif N == 128 && EXP_POLY_ORDER == 5 && !EXP_POLY_WIDE
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// abs error: 1.555*2^-66
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// ulp error: 0.509 (0.511 without fma)
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// if |x| < ln2/256+eps
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// abs error if |x| < ln2/256+0x1p-15: 1.09*2^-65
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// abs error if |x| < ln2/128: 1.7145*2^-56
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0x1.ffffffffffdbdp-2,
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0x1.555555555543cp-3,
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0x1.55555cf172b91p-5,
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0x1.1111167a4d017p-7,
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#elif N == 128 && EXP_POLY_ORDER == 5 && EXP_POLY_WIDE
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// abs error: 1.5542*2^-60
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// ulp error: 0.521 (0.523 without fma)
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// if |x| < ln2/128
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0x1.fffffffffdbcep-2,
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0x1.55555555543c2p-3,
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0x1.555573c64f2e3p-5,
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0x1.111126b4eff73p-7,
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#elif N == 128 && EXP_POLY_ORDER == 6 && EXP_POLY_WIDE
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// abs error: 1.6861*2^-71
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// ulp error: 0.509 (0.511 without fma)
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// if |x| < ln2/128
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0x1.55555555548fdp-3,
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0x1.555555555658fp-5,
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0x1.111123a859bb6p-7,
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0x1.6c16ba6920cabp-10,
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#elif N == 256 && EXP_POLY_ORDER == 4 && !EXP_POLY_WIDE
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// abs error: 1.43*2^-58
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// ulp error: 0.549 (0.550 without fma)
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// if |x| < ln2/512
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0x1p0, // unused
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0x1.fffffffffffd4p-2,
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0x1.5555571d6ef9p-3,
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0x1.5555576a5adcep-5,
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#elif N == 256 && EXP_POLY_ORDER == 5 && EXP_POLY_WIDE
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// abs error: 1.5547*2^-66
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// ulp error: 0.505 (0.506 without fma)
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// if |x| < ln2/256
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0x1.ffffffffffdbdp-2,
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0x1.555555555543cp-3,
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0x1.55555cf16e1edp-5,
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0x1.1111167a4b553p-7,
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#endif
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},
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.exp2_shift = 0x1.8p52 / N,
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// exp2 polynomial coefficients.
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.exp2_poly = {
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#if N == 64 && EXP2_POLY_ORDER == 6 && EXP2_POLY_WIDE
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// abs error: 1.3054*2^-63
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// ulp error: 0.515
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// if |x| < 1/64
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0x1.62e42fefa39efp-1,
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0x1.ebfbdff82c58fp-3,
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0x1.c6b08d7045cf1p-5,
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0x1.3b2ab6fb8fd0ep-7,
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0x1.5d884afec48d7p-10,
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0x1.43097dc684ae1p-13,
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#elif N == 128 && EXP2_POLY_ORDER == 5 && !EXP2_POLY_WIDE
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// abs error: 1.2195*2^-65
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// ulp error: 0.507 (0.511 without fma)
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// if |x| < 1/256
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// abs error if |x| < 1/128: 1.9941*2^-56
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0x1.62e42fefa39efp-1,
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0x1.ebfbdff82c424p-3,
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0x1.c6b08d70cf4b5p-5,
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0x1.3b2abd24650ccp-7,
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0x1.5d7e09b4e3a84p-10,
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#elif N == 256 && EXP2_POLY_ORDER == 5 && EXP2_POLY_WIDE
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// abs error: 1.2195*2^-65
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// ulp error: 0.504 (0.508 without fma)
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// if |x| < 1/256
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0x1.62e42fefa39efp-1,
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0x1.ebfbdff82c424p-3,
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0x1.c6b08d70cf4b5p-5,
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0x1.3b2abd24650ccp-7,
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0x1.5d7e09b4e3a84p-10,
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#endif
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},
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// 2^(k/N) ~= H[k]*(1 + T[k]) for int k in [0,N)
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// tab[2*k] = asuint64(T[k])
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// tab[2*k+1] = asuint64(H[k]) - (k << 52)/N
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.tab = {
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#if N == 64
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0x0, 0x3ff0000000000000,
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0xbc7160139cd8dc5d, 0x3fefec9a3e778061,
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0x3c8cd2523567f613, 0x3fefd9b0d3158574,
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0x3c60f74e61e6c861, 0x3fefc74518759bc8,
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0x3c979aa65d837b6d, 0x3fefb5586cf9890f,
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0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2,
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0xbc9556522a2fbd0e, 0x3fef9301d0125b51,
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0xbc91c923b9d5f416, 0x3fef829aaea92de0,
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0xbc801b15eaa59348, 0x3fef72b83c7d517b,
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0x3c8b898c3f1353bf, 0x3fef635beb6fcb75,
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0x3c9aecf73e3a2f60, 0x3fef54873168b9aa,
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0x3c8a6f4144a6c38d, 0x3fef463b88628cd6,
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0x3c968efde3a8a894, 0x3fef387a6e756238,
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0x3c80472b981fe7f2, 0x3fef2b4565e27cdd,
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0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1,
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0x3c8b3782720c0ab4, 0x3fef1285a6e4030b,
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0x3c834d754db0abb6, 0x3fef06fe0a31b715,
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0x3c8fdd395dd3f84a, 0x3feefc08b26416ff,
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0xbc924aedcc4b5068, 0x3feef1a7373aa9cb,
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0xbc71d1e83e9436d2, 0x3feee7db34e59ff7,
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0x3c859f48a72a4c6d, 0x3feedea64c123422,
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0xbc58a78f4817895b, 0x3feed60a21f72e2a,
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0x3c4363ed60c2ac11, 0x3feece086061892d,
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0x3c6ecce1daa10379, 0x3feec6a2b5c13cd0,
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0x3c7690cebb7aafb0, 0x3feebfdad5362a27,
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0xbc8f94340071a38e, 0x3feeb9b2769d2ca7,
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0xbc78dec6bd0f385f, 0x3feeb42b569d4f82,
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0x3c93350518fdd78e, 0x3feeaf4736b527da,
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0x3c9063e1e21c5409, 0x3feeab07dd485429,
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0x3c9432e62b64c035, 0x3feea76f15ad2148,
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0xbc8c33c53bef4da8, 0x3feea47eb03a5585,
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0xbc93cedd78565858, 0x3feea23882552225,
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0xbc93b3efbf5e2228, 0x3feea09e667f3bcd,
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0xbc6367efb86da9ee, 0x3fee9fb23c651a2f,
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0xbc781f647e5a3ecf, 0x3fee9f75e8ec5f74,
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0xbc8619321e55e68a, 0x3fee9feb564267c9,
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0xbc7b32dcb94da51d, 0x3feea11473eb0187,
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0x3c65ebe1abd66c55, 0x3feea2f336cf4e62,
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0xbc9369b6f13b3734, 0x3feea589994cce13,
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0xbc94d450d872576e, 0x3feea8d99b4492ed,
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0x3c8db72fc1f0eab4, 0x3feeace5422aa0db,
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0x3c7bf68359f35f44, 0x3feeb1ae99157736,
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0xbc5da9b88b6c1e29, 0x3feeb737b0cdc5e5,
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0xbc92434322f4f9aa, 0x3feebd829fde4e50,
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0x3c71affc2b91ce27, 0x3feec49182a3f090,
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0xbc87c50422622263, 0x3feecc667b5de565,
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0xbc91bbd1d3bcbb15, 0x3feed503b23e255d,
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0x3c8469846e735ab3, 0x3feede6b5579fdbf,
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0x3c8c1a7792cb3387, 0x3feee89f995ad3ad,
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0xbc55c3d956dcaeba, 0x3feef3a2b84f15fb,
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0xbc68d6f438ad9334, 0x3feeff76f2fb5e47,
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0x3c74ffd70a5fddcd, 0x3fef0c1e904bc1d2,
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0x3c736eae30af0cb3, 0x3fef199bdd85529c,
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0x3c84e08fd10959ac, 0x3fef27f12e57d14b,
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0x3c676b2c6c921968, 0x3fef3720dcef9069,
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0xbc8fad5d3ffffa6f, 0x3fef472d4a07897c,
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0x3c74a385a63d07a7, 0x3fef5818dcfba487,
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0x3c8e5a50d5c192ac, 0x3fef69e603db3285,
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0xbc82d52107b43e1f, 0x3fef7c97337b9b5f,
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0x3c74b604603a88d3, 0x3fef902ee78b3ff6,
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0xbc8ff7128fd391f0, 0x3fefa4afa2a490da,
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0x3c8ec3bc41aa2008, 0x3fefba1bee615a27,
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0x3c8a64a931d185ee, 0x3fefd0765b6e4540,
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0x3c77893b4d91cd9d, 0x3fefe7c1819e90d8,
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#elif N == 128
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0x0, 0x3ff0000000000000,
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0x3c9b3b4f1a88bf6e, 0x3feff63da9fb3335,
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0xbc7160139cd8dc5d, 0x3fefec9a3e778061,
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0xbc905e7a108766d1, 0x3fefe315e86e7f85,
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0x3c8cd2523567f613, 0x3fefd9b0d3158574,
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0xbc8bce8023f98efa, 0x3fefd06b29ddf6de,
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0x3c60f74e61e6c861, 0x3fefc74518759bc8,
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0x3c90a3e45b33d399, 0x3fefbe3ecac6f383,
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0x3c979aa65d837b6d, 0x3fefb5586cf9890f,
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0x3c8eb51a92fdeffc, 0x3fefac922b7247f7,
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0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2,
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0xbc6a033489906e0b, 0x3fef9b66affed31b,
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0xbc9556522a2fbd0e, 0x3fef9301d0125b51,
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0xbc5080ef8c4eea55, 0x3fef8abdc06c31cc,
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0xbc91c923b9d5f416, 0x3fef829aaea92de0,
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0x3c80d3e3e95c55af, 0x3fef7a98c8a58e51,
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0xbc801b15eaa59348, 0x3fef72b83c7d517b,
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0xbc8f1ff055de323d, 0x3fef6af9388c8dea,
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0x3c8b898c3f1353bf, 0x3fef635beb6fcb75,
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0xbc96d99c7611eb26, 0x3fef5be084045cd4,
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0x3c9aecf73e3a2f60, 0x3fef54873168b9aa,
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0xbc8fe782cb86389d, 0x3fef4d5022fcd91d,
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0x3c8a6f4144a6c38d, 0x3fef463b88628cd6,
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0x3c807a05b0e4047d, 0x3fef3f49917ddc96,
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0x3c968efde3a8a894, 0x3fef387a6e756238,
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0x3c875e18f274487d, 0x3fef31ce4fb2a63f,
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0x3c80472b981fe7f2, 0x3fef2b4565e27cdd,
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0xbc96b87b3f71085e, 0x3fef24dfe1f56381,
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0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1,
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0xbc3d219b1a6fbffa, 0x3fef187fd0dad990,
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0x3c8b3782720c0ab4, 0x3fef1285a6e4030b,
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0x3c6e149289cecb8f, 0x3fef0cafa93e2f56,
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0x3c834d754db0abb6, 0x3fef06fe0a31b715,
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0x3c864201e2ac744c, 0x3fef0170fc4cd831,
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0x3c8fdd395dd3f84a, 0x3feefc08b26416ff,
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0xbc86a3803b8e5b04, 0x3feef6c55f929ff1,
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0xbc924aedcc4b5068, 0x3feef1a7373aa9cb,
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0xbc9907f81b512d8e, 0x3feeecae6d05d866,
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0xbc71d1e83e9436d2, 0x3feee7db34e59ff7,
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0xbc991919b3ce1b15, 0x3feee32dc313a8e5,
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0x3c859f48a72a4c6d, 0x3feedea64c123422,
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0xbc9312607a28698a, 0x3feeda4504ac801c,
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0xbc58a78f4817895b, 0x3feed60a21f72e2a,
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0xbc7c2c9b67499a1b, 0x3feed1f5d950a897,
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0x3c4363ed60c2ac11, 0x3feece086061892d,
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0x3c9666093b0664ef, 0x3feeca41ed1d0057,
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0x3c6ecce1daa10379, 0x3feec6a2b5c13cd0,
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0x3c93ff8e3f0f1230, 0x3feec32af0d7d3de,
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0x3c7690cebb7aafb0, 0x3feebfdad5362a27,
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0x3c931dbdeb54e077, 0x3feebcb299fddd0d,
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0xbc8f94340071a38e, 0x3feeb9b2769d2ca7,
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0xbc87deccdc93a349, 0x3feeb6daa2cf6642,
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0xbc78dec6bd0f385f, 0x3feeb42b569d4f82,
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0xbc861246ec7b5cf6, 0x3feeb1a4ca5d920f,
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0x3c93350518fdd78e, 0x3feeaf4736b527da,
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0x3c7b98b72f8a9b05, 0x3feead12d497c7fd,
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0x3c9063e1e21c5409, 0x3feeab07dd485429,
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0x3c34c7855019c6ea, 0x3feea9268a5946b7,
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0x3c9432e62b64c035, 0x3feea76f15ad2148,
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0xbc8ce44a6199769f, 0x3feea5e1b976dc09,
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0xbc8c33c53bef4da8, 0x3feea47eb03a5585,
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0xbc845378892be9ae, 0x3feea34634ccc320,
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0xbc93cedd78565858, 0x3feea23882552225,
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0x3c5710aa807e1964, 0x3feea155d44ca973,
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0xbc93b3efbf5e2228, 0x3feea09e667f3bcd,
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0xbc6a12ad8734b982, 0x3feea012750bdabf,
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0xbc6367efb86da9ee, 0x3fee9fb23c651a2f,
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0xbc80dc3d54e08851, 0x3fee9f7df9519484,
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0xbc781f647e5a3ecf, 0x3fee9f75e8ec5f74,
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0xbc86ee4ac08b7db0, 0x3fee9f9a48a58174,
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0xbc8619321e55e68a, 0x3fee9feb564267c9,
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0x3c909ccb5e09d4d3, 0x3feea0694fde5d3f,
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0xbc7b32dcb94da51d, 0x3feea11473eb0187,
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0x3c94ecfd5467c06b, 0x3feea1ed0130c132,
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0x3c65ebe1abd66c55, 0x3feea2f336cf4e62,
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0xbc88a1c52fb3cf42, 0x3feea427543e1a12,
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0xbc9369b6f13b3734, 0x3feea589994cce13,
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0xbc805e843a19ff1e, 0x3feea71a4623c7ad,
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0xbc94d450d872576e, 0x3feea8d99b4492ed,
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|
0x3c90ad675b0e8a00, 0x3feeaac7d98a6699,
|
|
0x3c8db72fc1f0eab4, 0x3feeace5422aa0db,
|
|
0xbc65b6609cc5e7ff, 0x3feeaf3216b5448c,
|
|
0x3c7bf68359f35f44, 0x3feeb1ae99157736,
|
|
0xbc93091fa71e3d83, 0x3feeb45b0b91ffc6,
|
|
0xbc5da9b88b6c1e29, 0x3feeb737b0cdc5e5,
|
|
0xbc6c23f97c90b959, 0x3feeba44cbc8520f,
|
|
0xbc92434322f4f9aa, 0x3feebd829fde4e50,
|
|
0xbc85ca6cd7668e4b, 0x3feec0f170ca07ba,
|
|
0x3c71affc2b91ce27, 0x3feec49182a3f090,
|
|
0x3c6dd235e10a73bb, 0x3feec86319e32323,
|
|
0xbc87c50422622263, 0x3feecc667b5de565,
|
|
0x3c8b1c86e3e231d5, 0x3feed09bec4a2d33,
|
|
0xbc91bbd1d3bcbb15, 0x3feed503b23e255d,
|
|
0x3c90cc319cee31d2, 0x3feed99e1330b358,
|
|
0x3c8469846e735ab3, 0x3feede6b5579fdbf,
|
|
0xbc82dfcd978e9db4, 0x3feee36bbfd3f37a,
|
|
0x3c8c1a7792cb3387, 0x3feee89f995ad3ad,
|
|
0xbc907b8f4ad1d9fa, 0x3feeee07298db666,
|
|
0xbc55c3d956dcaeba, 0x3feef3a2b84f15fb,
|
|
0xbc90a40e3da6f640, 0x3feef9728de5593a,
|
|
0xbc68d6f438ad9334, 0x3feeff76f2fb5e47,
|
|
0xbc91eee26b588a35, 0x3fef05b030a1064a,
|
|
0x3c74ffd70a5fddcd, 0x3fef0c1e904bc1d2,
|
|
0xbc91bdfbfa9298ac, 0x3fef12c25bd71e09,
|
|
0x3c736eae30af0cb3, 0x3fef199bdd85529c,
|
|
0x3c8ee3325c9ffd94, 0x3fef20ab5fffd07a,
|
|
0x3c84e08fd10959ac, 0x3fef27f12e57d14b,
|
|
0x3c63cdaf384e1a67, 0x3fef2f6d9406e7b5,
|
|
0x3c676b2c6c921968, 0x3fef3720dcef9069,
|
|
0xbc808a1883ccb5d2, 0x3fef3f0b555dc3fa,
|
|
0xbc8fad5d3ffffa6f, 0x3fef472d4a07897c,
|
|
0xbc900dae3875a949, 0x3fef4f87080d89f2,
|
|
0x3c74a385a63d07a7, 0x3fef5818dcfba487,
|
|
0xbc82919e2040220f, 0x3fef60e316c98398,
|
|
0x3c8e5a50d5c192ac, 0x3fef69e603db3285,
|
|
0x3c843a59ac016b4b, 0x3fef7321f301b460,
|
|
0xbc82d52107b43e1f, 0x3fef7c97337b9b5f,
|
|
0xbc892ab93b470dc9, 0x3fef864614f5a129,
|
|
0x3c74b604603a88d3, 0x3fef902ee78b3ff6,
|
|
0x3c83c5ec519d7271, 0x3fef9a51fbc74c83,
|
|
0xbc8ff7128fd391f0, 0x3fefa4afa2a490da,
|
|
0xbc8dae98e223747d, 0x3fefaf482d8e67f1,
|
|
0x3c8ec3bc41aa2008, 0x3fefba1bee615a27,
|
|
0x3c842b94c3a9eb32, 0x3fefc52b376bba97,
|
|
0x3c8a64a931d185ee, 0x3fefd0765b6e4540,
|
|
0xbc8e37bae43be3ed, 0x3fefdbfdad9cbe14,
|
|
0x3c77893b4d91cd9d, 0x3fefe7c1819e90d8,
|
|
0x3c5305c14160cc89, 0x3feff3c22b8f71f1,
|
|
#elif N == 256
|
|
0x0, 0x3ff0000000000000,
|
|
0xbc84e82fc61851ac, 0x3feffb1afa5abcbf,
|
|
0x3c9b3b4f1a88bf6e, 0x3feff63da9fb3335,
|
|
0xbc82985dd8521d32, 0x3feff168143b0281,
|
|
0xbc7160139cd8dc5d, 0x3fefec9a3e778061,
|
|
0x3c651e617061bfbd, 0x3fefe7d42e11bbcc,
|
|
0xbc905e7a108766d1, 0x3fefe315e86e7f85,
|
|
0x3c845fad437fa426, 0x3fefde5f72f654b1,
|
|
0x3c8cd2523567f613, 0x3fefd9b0d3158574,
|
|
0xbc954529642b232f, 0x3fefd50a0e3c1f89,
|
|
0xbc8bce8023f98efa, 0x3fefd06b29ddf6de,
|
|
0x3c8293708ef5c32e, 0x3fefcbd42b72a836,
|
|
0x3c60f74e61e6c861, 0x3fefc74518759bc8,
|
|
0xbc95b9280905b2a4, 0x3fefc2bdf66607e0,
|
|
0x3c90a3e45b33d399, 0x3fefbe3ecac6f383,
|
|
0x3c84f31f32c4b7e7, 0x3fefb9c79b1f3919,
|
|
0x3c979aa65d837b6d, 0x3fefb5586cf9890f,
|
|
0x3c9407fb30d06420, 0x3fefb0f145e46c85,
|
|
0x3c8eb51a92fdeffc, 0x3fefac922b7247f7,
|
|
0xbc9a5d04b3b9911b, 0x3fefa83b23395dec,
|
|
0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2,
|
|
0xbc937a01f0739546, 0x3fef9fa55fdfa9c5,
|
|
0xbc6a033489906e0b, 0x3fef9b66affed31b,
|
|
0x3c8b8268b04ef0a5, 0x3fef973028d7233e,
|
|
0xbc9556522a2fbd0e, 0x3fef9301d0125b51,
|
|
0xbc9ac46e44a2ebcc, 0x3fef8edbab5e2ab6,
|
|
0xbc5080ef8c4eea55, 0x3fef8abdc06c31cc,
|
|
0xbc65704e90c9f860, 0x3fef86a814f204ab,
|
|
0xbc91c923b9d5f416, 0x3fef829aaea92de0,
|
|
0xbc897cea57e46280, 0x3fef7e95934f312e,
|
|
0x3c80d3e3e95c55af, 0x3fef7a98c8a58e51,
|
|
0x3c56f01429e2b9d2, 0x3fef76a45471c3c2,
|
|
0xbc801b15eaa59348, 0x3fef72b83c7d517b,
|
|
0x3c6e653b2459034b, 0x3fef6ed48695bbc0,
|
|
0xbc8f1ff055de323d, 0x3fef6af9388c8dea,
|
|
0x3c92cc7ea345b7dc, 0x3fef672658375d2f,
|
|
0x3c8b898c3f1353bf, 0x3fef635beb6fcb75,
|
|
0x3c957bfb2876ea9e, 0x3fef5f99f8138a1c,
|
|
0xbc96d99c7611eb26, 0x3fef5be084045cd4,
|
|
0x3c8cdc1873af2155, 0x3fef582f95281c6b,
|
|
0x3c9aecf73e3a2f60, 0x3fef54873168b9aa,
|
|
0xbc9493684653a131, 0x3fef50e75eb44027,
|
|
0xbc8fe782cb86389d, 0x3fef4d5022fcd91d,
|
|
0xbc98e2899077520a, 0x3fef49c18438ce4d,
|
|
0x3c8a6f4144a6c38d, 0x3fef463b88628cd6,
|
|
0x3c9120fcd4f59273, 0x3fef42be3578a819,
|
|
0x3c807a05b0e4047d, 0x3fef3f49917ddc96,
|
|
0x3c89b788c188c9b8, 0x3fef3bdda27912d1,
|
|
0x3c968efde3a8a894, 0x3fef387a6e756238,
|
|
0x3c877afbca90ef84, 0x3fef351ffb82140a,
|
|
0x3c875e18f274487d, 0x3fef31ce4fb2a63f,
|
|
0x3c91512f082876ee, 0x3fef2e85711ece75,
|
|
0x3c80472b981fe7f2, 0x3fef2b4565e27cdd,
|
|
0x3c9a02f0c7d75ec6, 0x3fef280e341ddf29,
|
|
0xbc96b87b3f71085e, 0x3fef24dfe1f56381,
|
|
0xbc803297e78260bf, 0x3fef21ba7591bb70,
|
|
0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1,
|
|
0xbc95b77e5ccd9fbf, 0x3fef1b8a66d10f13,
|
|
0xbc3d219b1a6fbffa, 0x3fef187fd0dad990,
|
|
0xbc91e75c40b4251e, 0x3fef157e39771b2f,
|
|
0x3c8b3782720c0ab4, 0x3fef1285a6e4030b,
|
|
0x3c98a911f1f7785a, 0x3fef0f961f641589,
|
|
0x3c6e149289cecb8f, 0x3fef0cafa93e2f56,
|
|
0xbc61e7c998db7dbb, 0x3fef09d24abd886b,
|
|
0x3c834d754db0abb6, 0x3fef06fe0a31b715,
|
|
0x3c85425c11faadf4, 0x3fef0432edeeb2fd,
|
|
0x3c864201e2ac744c, 0x3fef0170fc4cd831,
|
|
0xbc979517a03e2847, 0x3feefeb83ba8ea32,
|
|
0x3c8fdd395dd3f84a, 0x3feefc08b26416ff,
|
|
0xbc800e2a46da4bee, 0x3feef96266e3fa2d,
|
|
0xbc86a3803b8e5b04, 0x3feef6c55f929ff1,
|
|
0xbc87430803972b34, 0x3feef431a2de883b,
|
|
0xbc924aedcc4b5068, 0x3feef1a7373aa9cb,
|
|
0xbc954de30ae02d94, 0x3feeef26231e754a,
|
|
0xbc9907f81b512d8e, 0x3feeecae6d05d866,
|
|
0xbc94f2487e1c03ec, 0x3feeea401b7140ef,
|
|
0xbc71d1e83e9436d2, 0x3feee7db34e59ff7,
|
|
0x3c914a5432fcb2f4, 0x3feee57fbfec6cf4,
|
|
0xbc991919b3ce1b15, 0x3feee32dc313a8e5,
|
|
0x3c79c3bba5562a2f, 0x3feee0e544ede173,
|
|
0x3c859f48a72a4c6d, 0x3feedea64c123422,
|
|
0xbc85a71612e21658, 0x3feedc70df1c5175,
|
|
0xbc9312607a28698a, 0x3feeda4504ac801c,
|
|
0x3c86421f6f1d24d6, 0x3feed822c367a024,
|
|
0xbc58a78f4817895b, 0x3feed60a21f72e2a,
|
|
0xbc9348a6815fce65, 0x3feed3fb2709468a,
|
|
0xbc7c2c9b67499a1b, 0x3feed1f5d950a897,
|
|
0x3c835c43984d9871, 0x3feecffa3f84b9d4,
|
|
0x3c4363ed60c2ac11, 0x3feece086061892d,
|
|
0xbc632afc8d9473a0, 0x3feecc2042a7d232,
|
|
0x3c9666093b0664ef, 0x3feeca41ed1d0057,
|
|
0xbc95fc5e44de020e, 0x3feec86d668b3237,
|
|
0x3c6ecce1daa10379, 0x3feec6a2b5c13cd0,
|
|
0xbc7ea0148327c42f, 0x3feec4e1e192aed2,
|
|
0x3c93ff8e3f0f1230, 0x3feec32af0d7d3de,
|
|
0xbc7a843ad1a88022, 0x3feec17dea6db7d7,
|
|
0x3c7690cebb7aafb0, 0x3feebfdad5362a27,
|
|
0x3c892ca3bf144e63, 0x3feebe41b817c114,
|
|
0x3c931dbdeb54e077, 0x3feebcb299fddd0d,
|
|
0xbc902c99b04aa8b0, 0x3feebb2d81d8abff,
|
|
0xbc8f94340071a38e, 0x3feeb9b2769d2ca7,
|
|
0x3c73e34f67e67118, 0x3feeb8417f4531ee,
|
|
0xbc87deccdc93a349, 0x3feeb6daa2cf6642,
|
|
0xbc75a3b1197ba0f0, 0x3feeb57de83f4eef,
|
|
0xbc78dec6bd0f385f, 0x3feeb42b569d4f82,
|
|
0x3c81bd2888075068, 0x3feeb2e2f4f6ad27,
|
|
0xbc861246ec7b5cf6, 0x3feeb1a4ca5d920f,
|
|
0xbc896be8ae89ef8f, 0x3feeb070dde910d2,
|
|
0x3c93350518fdd78e, 0x3feeaf4736b527da,
|
|
0xbc88e6ac90348602, 0x3feeae27dbe2c4cf,
|
|
0x3c7b98b72f8a9b05, 0x3feead12d497c7fd,
|
|
0xbc91af7f1365c3ac, 0x3feeac0827ff07cc,
|
|
0x3c9063e1e21c5409, 0x3feeab07dd485429,
|
|
0xbc943a3540d1898a, 0x3feeaa11fba87a03,
|
|
0x3c34c7855019c6ea, 0x3feea9268a5946b7,
|
|
0xbc951f58ddaa8090, 0x3feea84590998b93,
|
|
0x3c9432e62b64c035, 0x3feea76f15ad2148,
|
|
0xbc82e1648e50a17c, 0x3feea6a320dceb71,
|
|
0xbc8ce44a6199769f, 0x3feea5e1b976dc09,
|
|
0x3c95f30eda98a575, 0x3feea52ae6cdf6f4,
|
|
0xbc8c33c53bef4da8, 0x3feea47eb03a5585,
|
|
0x3c917ecda8a72159, 0x3feea3dd1d1929fd,
|
|
0xbc845378892be9ae, 0x3feea34634ccc320,
|
|
0xbc9345f3cee1ae6e, 0x3feea2b9febc8fb7,
|
|
0xbc93cedd78565858, 0x3feea23882552225,
|
|
0xbc85c33fdf910406, 0x3feea1c1c70833f6,
|
|
0x3c5710aa807e1964, 0x3feea155d44ca973,
|
|
0x3c81079ab5789604, 0x3feea0f4b19e9538,
|
|
0xbc93b3efbf5e2228, 0x3feea09e667f3bcd,
|
|
0x3c727df161cd7778, 0x3feea052fa75173e,
|
|
0xbc6a12ad8734b982, 0x3feea012750bdabf,
|
|
0x3c93f9924a05b767, 0x3fee9fdcddd47645,
|
|
0xbc6367efb86da9ee, 0x3fee9fb23c651a2f,
|
|
0xbc87557939a8b5ef, 0x3fee9f9298593ae5,
|
|
0xbc80dc3d54e08851, 0x3fee9f7df9519484,
|
|
0x3c51ed2f56fa9d1a, 0x3fee9f7466f42e87,
|
|
0xbc781f647e5a3ecf, 0x3fee9f75e8ec5f74,
|
|
0xbc88e67a9006c909, 0x3fee9f8286ead08a,
|
|
0xbc86ee4ac08b7db0, 0x3fee9f9a48a58174,
|
|
0x3c86597566977ac8, 0x3fee9fbd35d7cbfd,
|
|
0xbc8619321e55e68a, 0x3fee9feb564267c9,
|
|
0x3c92c0b7028a5c3a, 0x3feea024b1ab6e09,
|
|
0x3c909ccb5e09d4d3, 0x3feea0694fde5d3f,
|
|
0x3c8a30faf49cc78c, 0x3feea0b938ac1cf6,
|
|
0xbc7b32dcb94da51d, 0x3feea11473eb0187,
|
|
0xbc92dad3519d7b5b, 0x3feea17b0976cfdb,
|
|
0x3c94ecfd5467c06b, 0x3feea1ed0130c132,
|
|
0x3c87d51410fd15c2, 0x3feea26a62ff86f0,
|
|
0x3c65ebe1abd66c55, 0x3feea2f336cf4e62,
|
|
0xbc760a3629969871, 0x3feea3878491c491,
|
|
0xbc88a1c52fb3cf42, 0x3feea427543e1a12,
|
|
0x3c8b18c6e3fdef5d, 0x3feea4d2add106d9,
|
|
0xbc9369b6f13b3734, 0x3feea589994cce13,
|
|
0x3c90ec1ddcb1390a, 0x3feea64c1eb941f7,
|
|
0xbc805e843a19ff1e, 0x3feea71a4623c7ad,
|
|
0xbc522cea4f3afa1e, 0x3feea7f4179f5b21,
|
|
0xbc94d450d872576e, 0x3feea8d99b4492ed,
|
|
0x3c7c88549b958471, 0x3feea9cad931a436,
|
|
0x3c90ad675b0e8a00, 0x3feeaac7d98a6699,
|
|
0x3c931143962f7877, 0x3feeabd0a478580f,
|
|
0x3c8db72fc1f0eab4, 0x3feeace5422aa0db,
|
|
0x3c93e9e96f112479, 0x3feeae05bad61778,
|
|
0xbc65b6609cc5e7ff, 0x3feeaf3216b5448c,
|
|
0xbc8dac42a4a38df0, 0x3feeb06a5e0866d9,
|
|
0x3c7bf68359f35f44, 0x3feeb1ae99157736,
|
|
0x3c8b99dd98b1ed84, 0x3feeb2fed0282c8a,
|
|
0xbc93091fa71e3d83, 0x3feeb45b0b91ffc6,
|
|
0xbc7885ad50cbb750, 0x3feeb5c353aa2fe2,
|
|
0xbc5da9b88b6c1e29, 0x3feeb737b0cdc5e5,
|
|
0xbc82d5e85f3e0301, 0x3feeb8b82b5f98e5,
|
|
0xbc6c23f97c90b959, 0x3feeba44cbc8520f,
|
|
0xbc51669428996971, 0x3feebbdd9a7670b3,
|
|
0xbc92434322f4f9aa, 0x3feebd829fde4e50,
|
|
0x3c71f2b2c1c4c014, 0x3feebf33e47a22a2,
|
|
0xbc85ca6cd7668e4b, 0x3feec0f170ca07ba,
|
|
0xbc9294f304f166b6, 0x3feec2bb4d53fe0d,
|
|
0x3c71affc2b91ce27, 0x3feec49182a3f090,
|
|
0xbc8a1e58414c07d3, 0x3feec674194bb8d5,
|
|
0x3c6dd235e10a73bb, 0x3feec86319e32323,
|
|
0xbc79740b58a20091, 0x3feeca5e8d07f29e,
|
|
0xbc87c50422622263, 0x3feecc667b5de565,
|
|
0x3c9165830a2b96c2, 0x3feece7aed8eb8bb,
|
|
0x3c8b1c86e3e231d5, 0x3feed09bec4a2d33,
|
|
0xbc903d5cbe27874b, 0x3feed2c980460ad8,
|
|
0xbc91bbd1d3bcbb15, 0x3feed503b23e255d,
|
|
0x3c5986178980fce0, 0x3feed74a8af46052,
|
|
0x3c90cc319cee31d2, 0x3feed99e1330b358,
|
|
0xbc89472975b1f2a5, 0x3feedbfe53c12e59,
|
|
0x3c8469846e735ab3, 0x3feede6b5579fdbf,
|
|
0x3c7d8157a34b7e7f, 0x3feee0e521356eba,
|
|
0xbc82dfcd978e9db4, 0x3feee36bbfd3f37a,
|
|
0x3c8c8a4e231ebb7d, 0x3feee5ff3a3c2774,
|
|
0x3c8c1a7792cb3387, 0x3feee89f995ad3ad,
|
|
0xbc888c8d11a142e5, 0x3feeeb4ce622f2ff,
|
|
0xbc907b8f4ad1d9fa, 0x3feeee07298db666,
|
|
0x3c889c2ea41433c7, 0x3feef0ce6c9a8952,
|
|
0xbc55c3d956dcaeba, 0x3feef3a2b84f15fb,
|
|
0xbc7274aedac8ff80, 0x3feef68415b749b1,
|
|
0xbc90a40e3da6f640, 0x3feef9728de5593a,
|
|
0x3c85c620ce76df06, 0x3feefc6e29f1c52a,
|
|
0xbc68d6f438ad9334, 0x3feeff76f2fb5e47,
|
|
0xbc8fda52e1b51e41, 0x3fef028cf22749e4,
|
|
0xbc91eee26b588a35, 0x3fef05b030a1064a,
|
|
0xbc32141a7b3e2cd8, 0x3fef08e0b79a6f1f,
|
|
0x3c74ffd70a5fddcd, 0x3fef0c1e904bc1d2,
|
|
0xbc302899507554e5, 0x3fef0f69c3f3a207,
|
|
0xbc91bdfbfa9298ac, 0x3fef12c25bd71e09,
|
|
0xbc80dda2d4c0010c, 0x3fef16286141b33d,
|
|
0x3c736eae30af0cb3, 0x3fef199bdd85529c,
|
|
0xbc8a007daadf8d68, 0x3fef1d1cd9fa652c,
|
|
0x3c8ee3325c9ffd94, 0x3fef20ab5fffd07a,
|
|
0x3c836909391181d3, 0x3fef244778fafb22,
|
|
0x3c84e08fd10959ac, 0x3fef27f12e57d14b,
|
|
0xbc811cd7dbdf9547, 0x3fef2ba88988c933,
|
|
0x3c63cdaf384e1a67, 0x3fef2f6d9406e7b5,
|
|
0xbc7ac28b7bef6621, 0x3fef33405751c4db,
|
|
0x3c676b2c6c921968, 0x3fef3720dcef9069,
|
|
0xbc7030587207b9e1, 0x3fef3b0f2e6d1675,
|
|
0xbc808a1883ccb5d2, 0x3fef3f0b555dc3fa,
|
|
0xbc8cc734592af7fc, 0x3fef43155b5bab74,
|
|
0xbc8fad5d3ffffa6f, 0x3fef472d4a07897c,
|
|
0x3c87752a44f587e8, 0x3fef4b532b08c968,
|
|
0xbc900dae3875a949, 0x3fef4f87080d89f2,
|
|
0x3c85b66fefeef52e, 0x3fef53c8eacaa1d6,
|
|
0x3c74a385a63d07a7, 0x3fef5818dcfba487,
|
|
0x3c5159d9d908a96e, 0x3fef5c76e862e6d3,
|
|
0xbc82919e2040220f, 0x3fef60e316c98398,
|
|
0x3c8c254d16117a68, 0x3fef655d71ff6075,
|
|
0x3c8e5a50d5c192ac, 0x3fef69e603db3285,
|
|
0xbc8d8c329fbd0e03, 0x3fef6e7cd63a8315,
|
|
0x3c843a59ac016b4b, 0x3fef7321f301b460,
|
|
0xbc8ea6e6fbd5f2a6, 0x3fef77d5641c0658,
|
|
0xbc82d52107b43e1f, 0x3fef7c97337b9b5f,
|
|
0xbc63e8e3eab2cbb4, 0x3fef81676b197d17,
|
|
0xbc892ab93b470dc9, 0x3fef864614f5a129,
|
|
0xbc8b7966cd0d2cd9, 0x3fef8b333b16ee12,
|
|
0x3c74b604603a88d3, 0x3fef902ee78b3ff6,
|
|
0xbc776caa4c2ff1cf, 0x3fef953924676d76,
|
|
0x3c83c5ec519d7271, 0x3fef9a51fbc74c83,
|
|
0xbc81d5fc525d9940, 0x3fef9f7977cdb740,
|
|
0xbc8ff7128fd391f0, 0x3fefa4afa2a490da,
|
|
0x3c855cd8aaea3d21, 0x3fefa9f4867cca6e,
|
|
0xbc8dae98e223747d, 0x3fefaf482d8e67f1,
|
|
0x3c8269947c2bed4a, 0x3fefb4aaa2188510,
|
|
0x3c8ec3bc41aa2008, 0x3fefba1bee615a27,
|
|
0xbc83b6137e9afe9e, 0x3fefbf9c1cb6412a,
|
|
0x3c842b94c3a9eb32, 0x3fefc52b376bba97,
|
|
0xbc69fa74878ba7c7, 0x3fefcac948dd7274,
|
|
0x3c8a64a931d185ee, 0x3fefd0765b6e4540,
|
|
0x3c901f3a75ee0efe, 0x3fefd632798844f8,
|
|
0xbc8e37bae43be3ed, 0x3fefdbfdad9cbe14,
|
|
0xbc516a9ce6ed84fa, 0x3fefe1d802243c89,
|
|
0x3c77893b4d91cd9d, 0x3fefe7c1819e90d8,
|
|
0xbc699c7db2effc76, 0x3fefedba3692d514,
|
|
0x3c5305c14160cc89, 0x3feff3c22b8f71f1,
|
|
0x3c64b458677f9840, 0x3feff9d96b2a23d9,
|
|
#endif
|
|
},
|
|
};
|
|
#endif /* __OBSOLETE_MATH */
|