1 //===-- Implemention of exp and friends' utils ----------------------------===// 2 // 3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 4 // See https://llvm.org/LICENSE.txt for license information. 5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 6 // 7 //===----------------------------------------------------------------------===// 8 9 #include "exp_utils.h" 10 11 namespace LIBC_NAMESPACE { 12 13 const Exp2fDataTable exp2f_data = { 14 // :tab[i] = uint(2^(i/N)) - (i << 52-BITS) 15 // used for computing 2^(k/N) for an int |k| < 150 N as 16 // double(tab[k%N] + (k << 52-BITS)) 17 { 18 // tab 19 #if N == 8 20 0x3ff0000000000000, 21 0x3fef72b83c7d517b, 22 0x3fef06fe0a31b715, 23 0x3feebfdad5362a27, 24 0x3feea09e667f3bcd, 25 0x3feeace5422aa0db, 26 0x3feee89f995ad3ad, 27 0x3fef5818dcfba487, 28 #elif N == 16 29 0x3ff0000000000000, 30 0x3fefb5586cf9890f, 31 0x3fef72b83c7d517b, 32 0x3fef387a6e756238, 33 0x3fef06fe0a31b715, 34 0x3feedea64c123422, 35 0x3feebfdad5362a27, 36 0x3feeab07dd485429, 37 0x3feea09e667f3bcd, 38 0x3feea11473eb0187, 39 0x3feeace5422aa0db, 40 0x3feec49182a3f090, 41 0x3feee89f995ad3ad, 42 0x3fef199bdd85529c, 43 0x3fef5818dcfba487, 44 0x3fefa4afa2a490da, 45 #elif N == 32 46 0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 47 0x3fef9301d0125b51, 0x3fef72b83c7d517b, 0x3fef54873168b9aa, 48 0x3fef387a6e756238, 0x3fef1e9df51fdee1, 0x3fef06fe0a31b715, 49 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d, 50 0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 51 0x3feea47eb03a5585, 0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 52 0x3feea11473eb0187, 0x3feea589994cce13, 0x3feeace5422aa0db, 53 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d, 54 0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 55 0x3fef3720dcef9069, 0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 56 0x3fefa4afa2a490da, 0x3fefd0765b6e4540, 57 #elif N == 64 58 0x3ff0000000000000, 0x3fefec9a3e778061, 0x3fefd9b0d3158574, 59 0x3fefc74518759bc8, 0x3fefb5586cf9890f, 0x3fefa3ec32d3d1a2, 60 0x3fef9301d0125b51, 0x3fef829aaea92de0, 0x3fef72b83c7d517b, 61 0x3fef635beb6fcb75, 0x3fef54873168b9aa, 0x3fef463b88628cd6, 62 0x3fef387a6e756238, 0x3fef2b4565e27cdd, 0x3fef1e9df51fdee1, 63 0x3fef1285a6e4030b, 0x3fef06fe0a31b715, 0x3feefc08b26416ff, 64 0x3feef1a7373aa9cb, 0x3feee7db34e59ff7, 0x3feedea64c123422, 65 0x3feed60a21f72e2a, 0x3feece086061892d, 0x3feec6a2b5c13cd0, 66 0x3feebfdad5362a27, 0x3feeb9b2769d2ca7, 0x3feeb42b569d4f82, 67 0x3feeaf4736b527da, 0x3feeab07dd485429, 0x3feea76f15ad2148, 68 0x3feea47eb03a5585, 0x3feea23882552225, 0x3feea09e667f3bcd, 69 0x3fee9fb23c651a2f, 0x3fee9f75e8ec5f74, 0x3fee9feb564267c9, 70 0x3feea11473eb0187, 0x3feea2f336cf4e62, 0x3feea589994cce13, 71 0x3feea8d99b4492ed, 0x3feeace5422aa0db, 0x3feeb1ae99157736, 72 0x3feeb737b0cdc5e5, 0x3feebd829fde4e50, 0x3feec49182a3f090, 73 0x3feecc667b5de565, 0x3feed503b23e255d, 0x3feede6b5579fdbf, 74 0x3feee89f995ad3ad, 0x3feef3a2b84f15fb, 0x3feeff76f2fb5e47, 75 0x3fef0c1e904bc1d2, 0x3fef199bdd85529c, 0x3fef27f12e57d14b, 76 0x3fef3720dcef9069, 0x3fef472d4a07897c, 0x3fef5818dcfba487, 77 0x3fef69e603db3285, 0x3fef7c97337b9b5f, 0x3fef902ee78b3ff6, 78 0x3fefa4afa2a490da, 0x3fefba1bee615a27, 0x3fefd0765b6e4540, 79 0x3fefe7c1819e90d8, 80 #endif 81 }, 82 as_double(0x4338000000000000) / N, // shift_scaled 83 { 84 // poly 85 #if N == 8 86 as_double(0x3fac6a00335106e2), 87 as_double(0x3fcec0c313449f55), 88 as_double(0x3fe62e431111f69f), 89 #elif N == 16 90 as_double(0x3fac6ac6aa313963), 91 as_double(0x3fcebfff4532d9ba), 92 as_double(0x3fe62e43001bc49f), 93 #elif N == 32 94 as_double(0x3fac6af84b912394), 95 as_double(0x3fcebfce50fac4f3), 96 as_double(0x3fe62e42ff0c52d6), 97 #elif N == 64 98 as_double(0x3fac6b04b4221b2a), 99 as_double(0x3fcebfc213e184d7), 100 as_double(0x3fe62e42fefb5b7f), 101 #endif 102 }, 103 as_double(0x4338000000000000), // shift 104 as_double(0x3ff71547652b82fe) * N, // invln2_scaled 105 { 106 // poly_scaled 107 #if N == 8 108 as_double(0x3fac6a00335106e2) / N / N / N, 109 as_double(0x3fcec0c313449f55) / N / N, 110 as_double(0x3fe62e431111f69f) / N, 111 #elif N == 16 112 as_double(0x3fac6ac6aa313963) / N / N / N, 113 as_double(0x3fcebfff4532d9ba) / N / N, 114 as_double(0x3fe62e43001bc49f) / N, 115 #elif N == 32 116 as_double(0x3fac6af84b912394) / N / N / N, 117 as_double(0x3fcebfce50fac4f3) / N / N, 118 as_double(0x3fe62e42ff0c52d6) / N, 119 #elif N == 64 120 as_double(0x3fac6b04b4221b2a) / N / N / N, 121 as_double(0x3fcebfc213e184d7) / N / N, 122 as_double(0x3fe62e42fefb5b7f) / N, 123 #endif 124 }, 125 }; 126 127 } // namespace LIBC_NAMESPACE 128