/* Shared data between exp, exp2 and pow. Copyright (c) 2018 Arm Ltd. All rights reserved. SPDX-License-Identifier: BSD-3-Clause Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. The name of the company may not be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include "fdlibm.h" #if !__OBSOLETE_MATH #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, #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| < ln2/256+0x1p-15: 1.09*2^-65 // 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, #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, #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, #endif }, }; #endif /* __OBSOLETE_MATH */