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author | Szabolcs Nagy <szabolcs.nagy@arm.com> | 2018-04-27 16:17:24 +0100 |
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committer | Szabolcs Nagy <szabolcs.nagy@arm.com> | 2018-06-04 17:32:00 +0100 |
commit | 872aa77a9522f7566eb56a8bb05c9e734424020d (patch) | |
tree | c9a7f8cd616f239c4c0d1bfafdb7f070a53ceee9 /math/exp_data.c | |
parent | 5dd369f63259abd94a481407e0041674ecc3da2a (diff) | |
download | arm-optimized-routines-872aa77a9522f7566eb56a8bb05c9e734424020d.tar.gz |
Add new exp and exp2 implementations
Optimized exp and exp2 implementations using a lookup table for
fractional powers of 2. There are several variants, see exp_data.c,
they can be selected by modifying math_config.h allowing different
tradeoffs.
The default selection should be acceptable as generic libm code.
Worst case error is 0.509 ULP for exp and 0.507 ULP for exp2, the
read only global data size is 2160 bytes.
The non-nearest rounding error is less than 1 ULP even on targets
without efficient round implementation (although the error rate is
higher in that case).
Another extern API symbol was added: __exp_dd takes two doubles, the
top and bottom part of the input, I expect it to be useful for
implementing pow, but it might get removed or moved elsewhere later.
New double precision error handling code was added following the
style of the single precision error handling code.
Improvements on Cortex-A72 compared to current glibc master:
exp latency: 1.5x
exp thruput: 2.3x
exp2 latency: 1.6x
exp2 thruput: 3.2x
Diffstat (limited to 'math/exp_data.c')
-rw-r--r-- | math/exp_data.c | 1131 |
1 files changed, 1131 insertions, 0 deletions
diff --git a/math/exp_data.c b/math/exp_data.c new file mode 100644 index 0000000..adfca9d --- /dev/null +++ b/math/exp_data.c @@ -0,0 +1,1131 @@ +/* + * Shared data between exp, exp2 and pow. + * + * Copyright (c) 2018, Arm Limited. + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "math_config.h" + +#define N (1 << EXP_TABLE_BITS) + +const struct exp_data __exp_data = { +// N/ln2 +.invln2N = 0x1.71547652b82fep0 * N, +// -ln2/N +#if N == 64 +.negln2hiN = -0x1.62e42fefa0000p-7, +.negln2loN = -0x1.cf79abc9e3b3ap-46, +#elif N == 128 +.negln2hiN = -0x1.62e42fefa0000p-8, +.negln2loN = -0x1.cf79abc9e3b3ap-47, +#elif N == 256 +.negln2hiN = -0x1.62e42fefc0000p-9, +.negln2loN = 0x1.c610ca86c3899p-45, +#elif N == 512 +.negln2hiN = -0x1.62e42fef80000p-10, +.negln2loN = -0x1.1cf79abc9e3b4p-45, +#endif +// Used for rounding when !TOINT_INTRINSICS +#if EXP_USE_TOINT_NARROW +.shift = 0x1800000000.8p0, +#else +.shift = 0x1.8p52, +#endif +// exp polynomial coefficients. +.poly = { +#if N == 64 && EXP_POLY_ORDER == 5 && !EXP_POLY_WIDE +// abs error: 1.5543*2^-60 +// ulp error: 0.529 (0.533 without fma) +// if |x| < ln2/128+eps +// abs error if |x| < ln2/64: 1.7157*2^-50 +0x1.fffffffffdbcdp-2, +0x1.555555555444cp-3, +0x1.555573c6a9f7dp-5, +0x1.1111266d28935p-7, +#elif N == 64 && EXP_POLY_ORDER == 6 && EXP_POLY_WIDE +// abs error: 1.6735*2^-64 +// ulp error: 0.518 (0.522 without fma) +// if |x| < ln2/64 +0x1.5555555548f9ap-3, +0x1.555555554bf5dp-5, +0x1.11115b75f0f4dp-7, +0x1.6c171a6b6303ep-10, +#elif N == 128 && EXP_POLY_ORDER == 5 && !EXP_POLY_WIDE +// abs error: 1.555*2^-66 +// ulp error: 0.509 (0.511 without fma) +// if |x| < ln2/256+eps +// abs error if |x| < ln2/128: 1.7145*2^-56 +0x1.ffffffffffdbdp-2, +0x1.555555555543cp-3, +0x1.55555cf172b91p-5, +0x1.1111167a4d017p-7, +#elif N == 128 && EXP_POLY_ORDER == 5 && EXP_POLY_WIDE +// abs error: 1.5542*2^-60 +// ulp error: 0.521 (0.523 without fma) +// if |x| < ln2/128 +0x1.fffffffffdbcep-2, +0x1.55555555543c2p-3, +0x1.555573c64f2e3p-5, +0x1.111126b4eff73p-7, +#elif N == 128 && EXP_POLY_ORDER == 6 && EXP_POLY_WIDE +// abs error: 1.6861*2^-71 +// ulp error: 0.509 (0.511 without fma) +// if |x| < ln2/128 +0x1.55555555548fdp-3, +0x1.555555555658fp-5, +0x1.111123a859bb6p-7, +0x1.6c16ba6920cabp-10, +#elif N == 256 && EXP_POLY_ORDER == 4 && !EXP_POLY_WIDE +// abs error: 1.43*2^-58 +// ulp error: 0.549 (0.550 without fma) +// if |x| < ln2/512 +0x1p0, // unused +0x1.fffffffffffd4p-2, +0x1.5555571d6ef9p-3, +0x1.5555576a5adcep-5, +#elif N == 256 && EXP_POLY_ORDER == 5 && EXP_POLY_WIDE +// abs error: 1.5547*2^-66 +// ulp error: 0.505 (0.506 without fma) +// if |x| < ln2/256 +0x1.ffffffffffdbdp-2, +0x1.555555555543cp-3, +0x1.55555cf16e1edp-5, +0x1.1111167a4b553p-7, +#elif N == 512 && EXP_POLY_ORDER == 4 && !EXP_POLY_WIDE +// abs error: 1.4300*2^-63 +// ulp error: 0.504 +// if |x| < ln2/1024 +// abs error if |x| < ln2/512: 1.0689*2^-55 +0x1p0, // unused +0x1.ffffffffffffdp-2, +0x1.555555c75bb6p-3, +0x1.555555dec04a8p-5, +#endif +}, +.exp2_shift = 0x1.8p52 / N, +// exp2 polynomial coefficients. +.exp2_poly = { +#if N == 64 && EXP2_POLY_ORDER == 6 && EXP2_POLY_WIDE +// abs error: 1.3054*2^-63 +// ulp error: 0.515 +// if |x| < 1/64 +0x1.62e42fefa39efp-1, +0x1.ebfbdff82c58fp-3, +0x1.c6b08d7045cf1p-5, +0x1.3b2ab6fb8fd0ep-7, +0x1.5d884afec48d7p-10, +0x1.43097dc684ae1p-13, +#elif N == 128 && EXP2_POLY_ORDER == 5 && !EXP2_POLY_WIDE +// abs error: 1.2195*2^-65 +// ulp error: 0.507 (0.511 without fma) +// if |x| < 1/256 +// abs error if |x| < 1/128: 1.9941*2^-56 +0x1.62e42fefa39efp-1, +0x1.ebfbdff82c424p-3, +0x1.c6b08d70cf4b5p-5, +0x1.3b2abd24650ccp-7, +0x1.5d7e09b4e3a84p-10, +#elif N == 256 && EXP2_POLY_ORDER == 5 && EXP2_POLY_WIDE +// abs error: 1.2195*2^-65 +// ulp error: 0.504 (0.508 without fma) +// if |x| < 1/256 +0x1.62e42fefa39efp-1, +0x1.ebfbdff82c424p-3, +0x1.c6b08d70cf4b5p-5, +0x1.3b2abd24650ccp-7, +0x1.5d7e09b4e3a84p-10, +#elif N == 512 && EXP2_POLY_ORDER == 4 && !EXP2_POLY_WIDE +// abs error: 1.4411*2^-64 +// ulp error: 0.5024 (0.5063 without fma) +// if |x| < 1/1024 +// abs error if |x| < 1/512: 1.9430*2^-56 +0x1.62e42fefa39ecp-1, +0x1.ebfbdff82c58bp-3, +0x1.c6b08e46de41fp-5, +0x1.3b2ab786ee1dap-7, +#endif +}, +// 2^(k/N) ~= H[k]*(1 + T[k]) for int k in [0,N) +// tab[2*k] = asuint64(T[k]) +// tab[2*k+1] = asuint64(H[k]) - (k << 52)/N +.tab = { +#if N == 64 +0x0, 0x3ff0000000000000, +0xbc7160139cd8dc5d, 0x3fefec9a3e778061, +0x3c8cd2523567f613, 0x3fefd9b0d3158574, +0x3c60f74e61e6c861, 0x3fefc74518759bc8, +0x3c979aa65d837b6d, 0x3fefb5586cf9890f, +0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2, +0xbc9556522a2fbd0e, 0x3fef9301d0125b51, +0xbc91c923b9d5f416, 0x3fef829aaea92de0, +0xbc801b15eaa59348, 0x3fef72b83c7d517b, +0x3c8b898c3f1353bf, 0x3fef635beb6fcb75, +0x3c9aecf73e3a2f60, 0x3fef54873168b9aa, +0x3c8a6f4144a6c38d, 0x3fef463b88628cd6, +0x3c968efde3a8a894, 0x3fef387a6e756238, +0x3c80472b981fe7f2, 0x3fef2b4565e27cdd, +0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1, +0x3c8b3782720c0ab4, 0x3fef1285a6e4030b, +0x3c834d754db0abb6, 0x3fef06fe0a31b715, +0x3c8fdd395dd3f84a, 0x3feefc08b26416ff, +0xbc924aedcc4b5068, 0x3feef1a7373aa9cb, +0xbc71d1e83e9436d2, 0x3feee7db34e59ff7, +0x3c859f48a72a4c6d, 0x3feedea64c123422, +0xbc58a78f4817895b, 0x3feed60a21f72e2a, +0x3c4363ed60c2ac11, 0x3feece086061892d, +0x3c6ecce1daa10379, 0x3feec6a2b5c13cd0, +0x3c7690cebb7aafb0, 0x3feebfdad5362a27, +0xbc8f94340071a38e, 0x3feeb9b2769d2ca7, +0xbc78dec6bd0f385f, 0x3feeb42b569d4f82, +0x3c93350518fdd78e, 0x3feeaf4736b527da, +0x3c9063e1e21c5409, 0x3feeab07dd485429, +0x3c9432e62b64c035, 0x3feea76f15ad2148, +0xbc8c33c53bef4da8, 0x3feea47eb03a5585, +0xbc93cedd78565858, 0x3feea23882552225, +0xbc93b3efbf5e2228, 0x3feea09e667f3bcd, +0xbc6367efb86da9ee, 0x3fee9fb23c651a2f, +0xbc781f647e5a3ecf, 0x3fee9f75e8ec5f74, +0xbc8619321e55e68a, 0x3fee9feb564267c9, +0xbc7b32dcb94da51d, 0x3feea11473eb0187, +0x3c65ebe1abd66c55, 0x3feea2f336cf4e62, +0xbc9369b6f13b3734, 0x3feea589994cce13, +0xbc94d450d872576e, 0x3feea8d99b4492ed, +0x3c8db72fc1f0eab4, 0x3feeace5422aa0db, +0x3c7bf68359f35f44, 0x3feeb1ae99157736, +0xbc5da9b88b6c1e29, 0x3feeb737b0cdc5e5, +0xbc92434322f4f9aa, 0x3feebd829fde4e50, +0x3c71affc2b91ce27, 0x3feec49182a3f090, +0xbc87c50422622263, 0x3feecc667b5de565, +0xbc91bbd1d3bcbb15, 0x3feed503b23e255d, +0x3c8469846e735ab3, 0x3feede6b5579fdbf, +0x3c8c1a7792cb3387, 0x3feee89f995ad3ad, +0xbc55c3d956dcaeba, 0x3feef3a2b84f15fb, +0xbc68d6f438ad9334, 0x3feeff76f2fb5e47, +0x3c74ffd70a5fddcd, 0x3fef0c1e904bc1d2, +0x3c736eae30af0cb3, 0x3fef199bdd85529c, +0x3c84e08fd10959ac, 0x3fef27f12e57d14b, +0x3c676b2c6c921968, 0x3fef3720dcef9069, +0xbc8fad5d3ffffa6f, 0x3fef472d4a07897c, +0x3c74a385a63d07a7, 0x3fef5818dcfba487, +0x3c8e5a50d5c192ac, 0x3fef69e603db3285, +0xbc82d52107b43e1f, 0x3fef7c97337b9b5f, +0x3c74b604603a88d3, 0x3fef902ee78b3ff6, +0xbc8ff7128fd391f0, 0x3fefa4afa2a490da, +0x3c8ec3bc41aa2008, 0x3fefba1bee615a27, +0x3c8a64a931d185ee, 0x3fefd0765b6e4540, +0x3c77893b4d91cd9d, 0x3fefe7c1819e90d8, +#elif N == 128 +0x0, 0x3ff0000000000000, +0x3c9b3b4f1a88bf6e, 0x3feff63da9fb3335, +0xbc7160139cd8dc5d, 0x3fefec9a3e778061, +0xbc905e7a108766d1, 0x3fefe315e86e7f85, +0x3c8cd2523567f613, 0x3fefd9b0d3158574, +0xbc8bce8023f98efa, 0x3fefd06b29ddf6de, +0x3c60f74e61e6c861, 0x3fefc74518759bc8, +0x3c90a3e45b33d399, 0x3fefbe3ecac6f383, +0x3c979aa65d837b6d, 0x3fefb5586cf9890f, +0x3c8eb51a92fdeffc, 0x3fefac922b7247f7, +0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2, +0xbc6a033489906e0b, 0x3fef9b66affed31b, +0xbc9556522a2fbd0e, 0x3fef9301d0125b51, +0xbc5080ef8c4eea55, 0x3fef8abdc06c31cc, +0xbc91c923b9d5f416, 0x3fef829aaea92de0, +0x3c80d3e3e95c55af, 0x3fef7a98c8a58e51, +0xbc801b15eaa59348, 0x3fef72b83c7d517b, +0xbc8f1ff055de323d, 0x3fef6af9388c8dea, +0x3c8b898c3f1353bf, 0x3fef635beb6fcb75, +0xbc96d99c7611eb26, 0x3fef5be084045cd4, +0x3c9aecf73e3a2f60, 0x3fef54873168b9aa, +0xbc8fe782cb86389d, 0x3fef4d5022fcd91d, +0x3c8a6f4144a6c38d, 0x3fef463b88628cd6, +0x3c807a05b0e4047d, 0x3fef3f49917ddc96, +0x3c968efde3a8a894, 0x3fef387a6e756238, +0x3c875e18f274487d, 0x3fef31ce4fb2a63f, +0x3c80472b981fe7f2, 0x3fef2b4565e27cdd, +0xbc96b87b3f71085e, 0x3fef24dfe1f56381, +0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1, +0xbc3d219b1a6fbffa, 0x3fef187fd0dad990, +0x3c8b3782720c0ab4, 0x3fef1285a6e4030b, +0x3c6e149289cecb8f, 0x3fef0cafa93e2f56, +0x3c834d754db0abb6, 0x3fef06fe0a31b715, +0x3c864201e2ac744c, 0x3fef0170fc4cd831, +0x3c8fdd395dd3f84a, 0x3feefc08b26416ff, +0xbc86a3803b8e5b04, 0x3feef6c55f929ff1, +0xbc924aedcc4b5068, 0x3feef1a7373aa9cb, +0xbc9907f81b512d8e, 0x3feeecae6d05d866, +0xbc71d1e83e9436d2, 0x3feee7db34e59ff7, +0xbc991919b3ce1b15, 0x3feee32dc313a8e5, +0x3c859f48a72a4c6d, 0x3feedea64c123422, +0xbc9312607a28698a, 0x3feeda4504ac801c, +0xbc58a78f4817895b, 0x3feed60a21f72e2a, +0xbc7c2c9b67499a1b, 0x3feed1f5d950a897, +0x3c4363ed60c2ac11, 0x3feece086061892d, +0x3c9666093b0664ef, 0x3feeca41ed1d0057, +0x3c6ecce1daa10379, 0x3feec6a2b5c13cd0, +0x3c93ff8e3f0f1230, 0x3feec32af0d7d3de, +0x3c7690cebb7aafb0, 0x3feebfdad5362a27, +0x3c931dbdeb54e077, 0x3feebcb299fddd0d, +0xbc8f94340071a38e, 0x3feeb9b2769d2ca7, +0xbc87deccdc93a349, 0x3feeb6daa2cf6642, +0xbc78dec6bd0f385f, 0x3feeb42b569d4f82, +0xbc861246ec7b5cf6, 0x3feeb1a4ca5d920f, +0x3c93350518fdd78e, 0x3feeaf4736b527da, +0x3c7b98b72f8a9b05, 0x3feead12d497c7fd, +0x3c9063e1e21c5409, 0x3feeab07dd485429, +0x3c34c7855019c6ea, 0x3feea9268a5946b7, +0x3c9432e62b64c035, 0x3feea76f15ad2148, +0xbc8ce44a6199769f, 0x3feea5e1b976dc09, +0xbc8c33c53bef4da8, 0x3feea47eb03a5585, +0xbc845378892be9ae, 0x3feea34634ccc320, +0xbc93cedd78565858, 0x3feea23882552225, +0x3c5710aa807e1964, 0x3feea155d44ca973, +0xbc93b3efbf5e2228, 0x3feea09e667f3bcd, +0xbc6a12ad8734b982, 0x3feea012750bdabf, +0xbc6367efb86da9ee, 0x3fee9fb23c651a2f, +0xbc80dc3d54e08851, 0x3fee9f7df9519484, +0xbc781f647e5a3ecf, 0x3fee9f75e8ec5f74, +0xbc86ee4ac08b7db0, 0x3fee9f9a48a58174, +0xbc8619321e55e68a, 0x3fee9feb564267c9, +0x3c909ccb5e09d4d3, 0x3feea0694fde5d3f, +0xbc7b32dcb94da51d, 0x3feea11473eb0187, +0x3c94ecfd5467c06b, 0x3feea1ed0130c132, +0x3c65ebe1abd66c55, 0x3feea2f336cf4e62, +0xbc88a1c52fb3cf42, 0x3feea427543e1a12, +0xbc9369b6f13b3734, 0x3feea589994cce13, +0xbc805e843a19ff1e, 0x3feea71a4623c7ad, +0xbc94d450d872576e, 0x3feea8d99b4492ed, +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, +#elif N == 512 +0x0, 0x3ff0000000000000, +0xbc75d87ade1f60d5, 0x3feffd8c86da1c0a, +0xbc84e82fc61851ac, 0x3feffb1afa5abcbf, +0x3c9bffdaa7ac4bac, 0x3feff8ab5b2cbd11, +0x3c9b3b4f1a88bf6e, 0x3feff63da9fb3335, +0x3c75c18e5ae0563a, 0x3feff3d1e77170b4, +0xbc82985dd8521d32, 0x3feff168143b0281, +0xbc705b1125cf49a5, 0x3fefef003103b10e, +0xbc7160139cd8dc5d, 0x3fefec9a3e778061, +0x3c9f879abbff3f87, 0x3fefea363d42b027, +0x3c651e617061bfbd, 0x3fefe7d42e11bbcc, +0x3c9b14003824712a, 0x3fefe57411915a8a, +0xbc905e7a108766d1, 0x3fefe315e86e7f85, +0x3c61cbf0f38af658, 0x3fefe0b9b35659d8, +0x3c845fad437fa426, 0x3fefde5f72f654b1, +0xbc9a3316383dcbc5, 0x3fefdc0727fc1762, +0x3c8cd2523567f613, 0x3fefd9b0d3158574, +0x3c9901c9e0e797fd, 0x3fefd75c74f0bec2, +0xbc954529642b232f, 0x3fefd50a0e3c1f89, +0xbc89b3236d111646, 0x3fefd2b99fa6407c, +0xbc8bce8023f98efa, 0x3fefd06b29ddf6de, +0xbc8cb191be99b1b0, 0x3fefce1ead925493, +0x3c8293708ef5c32e, 0x3fefcbd42b72a836, +0xbc9acb71e83765b7, 0x3fefc98ba42e7d30, +0x3c60f74e61e6c861, 0x3fefc74518759bc8, +0x3c5cd3e58b03697e, 0x3fefc50088f8093f, +0xbc95b9280905b2a4, 0x3fefc2bdf66607e0, +0xbc8bfb07d4755452, 0x3fefc07d61701716, +0x3c90a3e45b33d399, 0x3fefbe3ecac6f383, +0x3c8aedeb3e7b14cd, 0x3fefbc02331b9715, +0x3c84f31f32c4b7e7, 0x3fefb9c79b1f3919, +0x3c9a8eb1f3d914b4, 0x3fefb78f03834e52, +0x3c979aa65d837b6d, 0x3fefb5586cf9890f, +0xbc85b9eb0402507b, 0x3fefb323d833d93f, +0x3c9407fb30d06420, 0x3fefb0f145e46c85, +0xbc93f0f225bbf3ee, 0x3fefaec0b6bdae53, +0x3c8eb51a92fdeffc, 0x3fefac922b7247f7, +0xbc9c3fe7282d1784, 0x3fefaa65a4b520ba, +0xbc9a5d04b3b9911b, 0x3fefa83b23395dec, +0x3c9c8be44bf4cde8, 0x3fefa612a7b26300, +0x3c3ebe3d702f9cd1, 0x3fefa3ec32d3d1a2, +0x3c820c5444c93c44, 0x3fefa1c7c55189c6, +0xbc937a01f0739546, 0x3fef9fa55fdfa9c5, +0xbc84c6baeb580d7a, 0x3fef9d8503328e6d, +0xbc6a033489906e0b, 0x3fef9b66affed31b, +0x3c8657aa1b0d9f83, 0x3fef994a66f951ce, +0x3c8b8268b04ef0a5, 0x3fef973028d7233e, +0x3c62f2c7fd6ee145, 0x3fef9517f64d9ef1, +0xbc9556522a2fbd0e, 0x3fef9301d0125b51, +0xbc6b0b2789925e90, 0x3fef90edb6db2dc1, +0xbc9ac46e44a2ebcc, 0x3fef8edbab5e2ab6, +0xbc93aad17d197fae, 0x3fef8ccbae51a5c8, +0xbc5080ef8c4eea55, 0x3fef8abdc06c31cc, +0xbc989c464a07ad70, 0x3fef88b1e264a0e9, +0xbc65704e90c9f860, 0x3fef86a814f204ab, +0xbc72c338fce197f4, 0x3fef84a058cbae1e, +0xbc91c923b9d5f416, 0x3fef829aaea92de0, +0xbc6dca724cea0eb6, 0x3fef809717425438, +0xbc897cea57e46280, 0x3fef7e95934f312e, +0x3c464770b955d34d, 0x3fef7c962388149e, +0x3c80d3e3e95c55af, 0x3fef7a98c8a58e51, +0xbc962811c114424f, 0x3fef789d83606e12, +0x3c56f01429e2b9d2, 0x3fef76a45471c3c2, +0x3c8ec58e74904dd4, 0x3fef74ad3c92df73, +0xbc801b15eaa59348, 0x3fef72b83c7d517b, +0x3c8d63b0ab2d5bbf, 0x3fef70c554eaea89, +0x3c6e653b2459034b, 0x3fef6ed48695bbc0, +0xbc9ca9effbeeac92, 0x3fef6ce5d23816c9, +0xbc8f1ff055de323d, 0x3fef6af9388c8dea, +0x3c8bda920de0f6e2, 0x3fef690eba4df41f, +0x3c92cc7ea345b7dc, 0x3fef672658375d2f, +0xbc9a597f9a5ff71c, 0x3fef654013041dc2, +0x3c8b898c3f1353bf, 0x3fef635beb6fcb75, +0x3c50835b125aa573, 0x3fef6179e2363cf8, +0x3c957bfb2876ea9e, 0x3fef5f99f8138a1c, +0x3c8aaa13d61aec1f, 0x3fef5dbc2dc40bf0, +0xbc96d99c7611eb26, 0x3fef5be084045cd4, +0x3c8a4f81aa7110bd, 0x3fef5a06fb91588f, +0x3c8cdc1873af2155, 0x3fef582f95281c6b, +0xbc6817fd6a313e3e, 0x3fef565a51860746, +0x3c9aecf73e3a2f60, 0x3fef54873168b9aa, +0xbc96236af85fd26a, 0x3fef52b6358e15e8, +0xbc9493684653a131, 0x3fef50e75eb44027, +0x3c7795eb4523abe7, 0x3fef4f1aad999e82, +0xbc8fe782cb86389d, 0x3fef4d5022fcd91d, +0x3c8fe58b91b40095, 0x3fef4b87bf9cda38, +0xbc98e2899077520a, 0x3fef49c18438ce4d, +0x3c91ecaa860c614a, 0x3fef47fd7190241e, +0x3c8a6f4144a6c38d, 0x3fef463b88628cd6, +0xbc3e45c83ba0bbcb, 0x3fef447bc96ffc18, +0x3c9120fcd4f59273, 0x3fef42be3578a819, +0xbc29fd3bea07b4ee, 0x3fef4102cd3d09b9, +0x3c807a05b0e4047d, 0x3fef3f49917ddc96, +0x3c87f1c7350e256d, 0x3fef3d9282fc1f27, +0x3c89b788c188c9b8, 0x3fef3bdda27912d1, +0x3c420dac6c124f4f, 0x3fef3a2af0b63bff, +0x3c968efde3a8a894, 0x3fef387a6e756238, +0xbc99501d09bc09fd, 0x3fef36cc1c78903a, +0x3c877afbca90ef84, 0x3fef351ffb82140a, +0x3c73baf864dc8675, 0x3fef33760c547f15, +0x3c875e18f274487d, 0x3fef31ce4fb2a63f, +0x3c91b0575c1eaf54, 0x3fef3028c65fa1ff, +0x3c91512f082876ee, 0x3fef2e85711ece75, +0xbc90364bc9ce33ab, 0x3fef2ce450b3cb82, +0x3c80472b981fe7f2, 0x3fef2b4565e27cdd, +0xbc7548165d85ed32, 0x3fef29a8b16f0a30, +0x3c9a02f0c7d75ec6, 0x3fef280e341ddf29, +0x3c7c3b977a68e32c, 0x3fef2675eeb3ab98, +0xbc96b87b3f71085e, 0x3fef24dfe1f56381, +0xbc93a255f697ecfe, 0x3fef234c0ea83f36, +0xbc803297e78260bf, 0x3fef21ba7591bb70, +0x3c8d2d19edc1e550, 0x3fef202b17779965, +0x3c82f7e16d09ab31, 0x3fef1e9df51fdee1, +0xbc76b2173113dd8c, 0x3fef1d130f50d65c, +0xbc95b77e5ccd9fbf, 0x3fef1b8a66d10f13, +0x3c811aa5f853590b, 0x3fef1a03fc675d1f, +0xbc3d219b1a6fbffa, 0x3fef187fd0dad990, +0x3c61d61a34c8aa02, 0x3fef16fde4f2e280, +0xbc91e75c40b4251e, 0x3fef157e39771b2f, +0xbc91f892bf6b286d, 0x3fef1400cf2f6c18, +0x3c8b3782720c0ab4, 0x3fef1285a6e4030b, +0x3c7590c65c20e680, 0x3fef110cc15d5346, +0x3c98a911f1f7785a, 0x3fef0f961f641589, +0x3c86fe320b5c1e9d, 0x3fef0e21c1c14833, +0x3c6e149289cecb8f, 0x3fef0cafa93e2f56, +0xbc903cd8b2f25790, 0x3fef0b3fd6a454d2, +0xbc61e7c998db7dbb, 0x3fef09d24abd886b, +0x3c7b3bf786a54a87, 0x3fef08670653dfe4, +0x3c834d754db0abb6, 0x3fef06fe0a31b715, +0x3c74bb6c41732885, 0x3fef05975721b004, +0x3c85425c11faadf4, 0x3fef0432edeeb2fd, +0xbc99d7399abb9a8b, 0x3fef02d0cf63eeac, +0x3c864201e2ac744c, 0x3fef0170fc4cd831, +0xbc5451d60c6ac9eb, 0x3fef001375752b40, +0xbc979517a03e2847, 0x3feefeb83ba8ea32, +0x3c8787a210ceafd9, 0x3feefd5f4fb45e20, +0x3c8fdd395dd3f84a, 0x3feefc08b26416ff, +0xbc888d1e4629943d, 0x3feefab46484ebb4, +0xbc800e2a46da4bee, 0x3feef96266e3fa2d, +0xbc93369c544088b6, 0x3feef812ba4ea77d, +0xbc86a3803b8e5b04, 0x3feef6c55f929ff1, +0x3c85373ce4eb6dfb, 0x3feef57a577dd72b, +0xbc87430803972b34, 0x3feef431a2de883b, +0x3c83adec8265a67f, 0x3feef2eb428335b4, +0xbc924aedcc4b5068, 0x3feef1a7373aa9cb, +0xbc835388bcac6bc5, 0x3feef06581d3f669, +0xbc954de30ae02d94, 0x3feeef26231e754a, +0x3c727cdb4e4b6640, 0x3feeede91be9c811, +0xbc9907f81b512d8e, 0x3feeecae6d05d866, +0x3c86c2696a26af35, 0x3feeeb761742d808, +0xbc94f2487e1c03ec, 0x3feeea401b7140ef, +0x3c888f6ff06b979a, 0x3feee90c7a61d55b, +0xbc71d1e83e9436d2, 0x3feee7db34e59ff7, +0xbc89d5efaabc2030, 0x3feee6ac4bcdf3ea, +0x3c914a5432fcb2f4, 0x3feee57fbfec6cf4, +0xbc76b8867f91c9d6, 0x3feee4559212ef89, +0xbc991919b3ce1b15, 0x3feee32dc313a8e5, +0x3c94c9c0b5157fe6, 0x3feee20853c10f28, +0x3c79c3bba5562a2f, 0x3feee0e544ede173, +0xbc62455345b51c8e, 0x3feedfc4976d27fa, +0x3c859f48a72a4c6d, 0x3feedea64c123422, +0xbc93331de45477d0, 0x3feedd8a63b0a09b, +0xbc85a71612e21658, 0x3feedc70df1c5175, +0xbc95f84d39b39b16, 0x3feedb59bf29743f, +0xbc9312607a28698a, 0x3feeda4504ac801c, +0xbc72ba4dc7c4d562, 0x3feed932b07a35df, +0x3c86421f6f1d24d6, 0x3feed822c367a024, +0xbc844f25dc02691f, 0x3feed7153e4a136a, +0xbc58a78f4817895b, 0x3feed60a21f72e2a, +0xbc888d328eb9b501, 0x3feed5016f44d8f5, +0xbc9348a6815fce65, 0x3feed3fb2709468a, +0x3c7f0bec42ddb15a, 0x3feed2f74a1af3f1, +0xbc7c2c9b67499a1b, 0x3feed1f5d950a897, +0xbc615f0a2b9cd452, 0x3feed0f6d5817663, +0x3c835c43984d9871, 0x3feecffa3f84b9d4, +0xbc8c2e465a919e1d, 0x3feecf0018321a1a, +0x3c4363ed60c2ac11, 0x3feece086061892d, 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+0xbc81f2ba385f2f95, 0x3fef7efd81a2ece1, +0xbc63e8e3eab2cbb4, 0x3fef81676b197d17, +0x3c768d9144ae12fc, 0x3fef83d4f11f8220, +0xbc892ab93b470dc9, 0x3fef864614f5a129, +0x3c853687f542403b, 0x3fef88bad7dcee90, +0xbc8b7966cd0d2cd9, 0x3fef8b333b16ee12, +0xbc736ed2de40b407, 0x3fef8daf3fe592e8, +0x3c74b604603a88d3, 0x3fef902ee78b3ff6, +0xbc614ef56c770f3b, 0x3fef92b2334ac7ee, +0xbc776caa4c2ff1cf, 0x3fef953924676d76, +0x3c8df7d1353d8e88, 0x3fef97c3bc24e350, +0x3c83c5ec519d7271, 0x3fef9a51fbc74c83, +0xbc850bed64091b8a, 0x3fef9ce3e4933c7e, +0xbc81d5fc525d9940, 0x3fef9f7977cdb740, +0x3c89d852381c317f, 0x3fefa212b6bc3181, +0xbc8ff7128fd391f0, 0x3fefa4afa2a490da, +0x3c68a00e3cca04c4, 0x3fefa7503ccd2be5, +0x3c855cd8aaea3d21, 0x3fefa9f4867cca6e, +0xbc5a1f25ce94cae7, 0x3fefac9c80faa594, +0xbc8dae98e223747d, 0x3fefaf482d8e67f1, +0xbc6fb5f3ee307976, 0x3fefb1f78d802dc2, +0x3c8269947c2bed4a, 0x3fefb4aaa2188510, +0x3c737e8ae802b851, 0x3fefb7616ca06dd6, +0x3c8ec3bc41aa2008, 0x3fefba1bee615a27, +0x3c875119560e34af, 0x3fefbcda28a52e59, +0xbc83b6137e9afe9e, 0x3fefbf9c1cb6412a, +0xbc7431c3840929c6, 0x3fefc261cbdf5be7, +0x3c842b94c3a9eb32, 0x3fefc52b376bba97, +0xbc8cb472d2e86b99, 0x3fefc7f860a70c22, +0xbc69fa74878ba7c7, 0x3fefcac948dd7274, +0x3c83f5df2fde16a8, 0x3fefcd9df15b82ac, +0x3c8a64a931d185ee, 0x3fefd0765b6e4540, +0x3c8eef18336b62e3, 0x3fefd35288633625, +0x3c901f3a75ee0efe, 0x3fefd632798844f8, +0x3c80d23f87b50a2a, 0x3fefd916302bd526, +0xbc8e37bae43be3ed, 0x3fefdbfdad9cbe14, +0x3c8302dee657c8e6, 0x3fefdee8f32a4b45, +0xbc516a9ce6ed84fa, 0x3fefe1d802243c89, +0xbc7b0caa080df170, 0x3fefe4cadbdac61d, +0x3c77893b4d91cd9d, 0x3fefe7c1819e90d8, +0x3c7617a9f2fd24e5, 0x3fefeabbf4c0ba54, +0xbc699c7db2effc76, 0x3fefedba3692d514, +0x3c75f103b8fd5ca7, 0x3feff0bc4866e8ad, +0x3c5305c14160cc89, 0x3feff3c22b8f71f1, +0x3c8e70b094fa075a, 0x3feff6cbe15f6314, +0x3c64b458677f9840, 0x3feff9d96b2a23d9, +0xbc72ec9a3e5d680a, 0x3feffceaca4391b6, +#endif +}, +}; |