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 #include "math_utils.h" 12 13 namespace __llvm_libc { 14 15 const Exp2fDataTable exp2f_data = { 16 // :tab[i] = uint(2^(i/N)) - (i << 52-BITS) 17 // used for computing 2^(k/N) for an int |k| < 150 N as 18 // double(tab[k%N] + (k << 52-BITS)) 19 { 20 // tab 21 #if N == 8 22 0x3ff0000000000000, 23 0x3fef72b83c7d517b, 24 0x3fef06fe0a31b715, 25 0x3feebfdad5362a27, 26 0x3feea09e667f3bcd, 27 0x3feeace5422aa0db, 28 0x3feee89f995ad3ad, 29 0x3fef5818dcfba487, 30 #elif N == 16 31 0x3ff0000000000000, 32 0x3fefb5586cf9890f, 33 0x3fef72b83c7d517b, 34 0x3fef387a6e756238, 35 0x3fef06fe0a31b715, 36 0x3feedea64c123422, 37 0x3feebfdad5362a27, 38 0x3feeab07dd485429, 39 0x3feea09e667f3bcd, 40 0x3feea11473eb0187, 41 0x3feeace5422aa0db, 42 0x3feec49182a3f090, 43 0x3feee89f995ad3ad, 44 0x3fef199bdd85529c, 45 0x3fef5818dcfba487, 46 0x3fefa4afa2a490da, 47 #elif N == 32 48 0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 49 0x3fef9301d0125b51, 0x3fef72b83c7d517b, 0x3fef54873168b9aa, 50 0x3fef387a6e756238, 0x3fef1e9df51fdee1, 0x3fef06fe0a31b715, 51 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d, 52 0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 53 0x3feea47eb03a5585, 0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 54 0x3feea11473eb0187, 0x3feea589994cce13, 0x3feeace5422aa0db, 55 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d, 56 0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 57 0x3fef3720dcef9069, 0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 58 0x3fefa4afa2a490da, 0x3fefd0765b6e4540, 59 #elif N == 64 60 0x3ff0000000000000, 0x3fefec9a3e778061, 0x3fefd9b0d3158574, 61 0x3fefc74518759bc8, 0x3fefb5586cf9890f, 0x3fefa3ec32d3d1a2, 62 0x3fef9301d0125b51, 0x3fef829aaea92de0, 0x3fef72b83c7d517b, 63 0x3fef635beb6fcb75, 0x3fef54873168b9aa, 0x3fef463b88628cd6, 64 0x3fef387a6e756238, 0x3fef2b4565e27cdd, 0x3fef1e9df51fdee1, 65 0x3fef1285a6e4030b, 0x3fef06fe0a31b715, 0x3feefc08b26416ff, 66 0x3feef1a7373aa9cb, 0x3feee7db34e59ff7, 0x3feedea64c123422, 67 0x3feed60a21f72e2a, 0x3feece086061892d, 0x3feec6a2b5c13cd0, 68 0x3feebfdad5362a27, 0x3feeb9b2769d2ca7, 0x3feeb42b569d4f82, 69 0x3feeaf4736b527da, 0x3feeab07dd485429, 0x3feea76f15ad2148, 70 0x3feea47eb03a5585, 0x3feea23882552225, 0x3feea09e667f3bcd, 71 0x3fee9fb23c651a2f, 0x3fee9f75e8ec5f74, 0x3fee9feb564267c9, 72 0x3feea11473eb0187, 0x3feea2f336cf4e62, 0x3feea589994cce13, 73 0x3feea8d99b4492ed, 0x3feeace5422aa0db, 0x3feeb1ae99157736, 74 0x3feeb737b0cdc5e5, 0x3feebd829fde4e50, 0x3feec49182a3f090, 75 0x3feecc667b5de565, 0x3feed503b23e255d, 0x3feede6b5579fdbf, 76 0x3feee89f995ad3ad, 0x3feef3a2b84f15fb, 0x3feeff76f2fb5e47, 77 0x3fef0c1e904bc1d2, 0x3fef199bdd85529c, 0x3fef27f12e57d14b, 78 0x3fef3720dcef9069, 0x3fef472d4a07897c, 0x3fef5818dcfba487, 79 0x3fef69e603db3285, 0x3fef7c97337b9b5f, 0x3fef902ee78b3ff6, 80 0x3fefa4afa2a490da, 0x3fefba1bee615a27, 0x3fefd0765b6e4540, 81 0x3fefe7c1819e90d8, 82 #endif 83 }, 84 as_double(0x4338000000000000) / N, // shift_scaled 85 { 86 // poly 87 #if N == 8 88 as_double(0x3fac6a00335106e2), 89 as_double(0x3fcec0c313449f55), 90 as_double(0x3fe62e431111f69f), 91 #elif N == 16 92 as_double(0x3fac6ac6aa313963), 93 as_double(0x3fcebfff4532d9ba), 94 as_double(0x3fe62e43001bc49f), 95 #elif N == 32 96 as_double(0x3fac6af84b912394), 97 as_double(0x3fcebfce50fac4f3), 98 as_double(0x3fe62e42ff0c52d6), 99 #elif N == 64 100 as_double(0x3fac6b04b4221b2a), 101 as_double(0x3fcebfc213e184d7), 102 as_double(0x3fe62e42fefb5b7f), 103 #endif 104 }, 105 as_double(0x4338000000000000), // shift 106 as_double(0x3ff71547652b82fe) * N, // invln2_scaled 107 { 108 // poly_scaled 109 #if N == 8 110 as_double(0x3fac6a00335106e2) / N / N / N, 111 as_double(0x3fcec0c313449f55) / N / N, 112 as_double(0x3fe62e431111f69f) / N, 113 #elif N == 16 114 as_double(0x3fac6ac6aa313963) / N / N / N, 115 as_double(0x3fcebfff4532d9ba) / N / N, 116 as_double(0x3fe62e43001bc49f) / N, 117 #elif N == 32 118 as_double(0x3fac6af84b912394) / N / N / N, 119 as_double(0x3fcebfce50fac4f3) / N / N, 120 as_double(0x3fe62e42ff0c52d6) / N, 121 #elif N == 64 122 as_double(0x3fac6b04b4221b2a) / N / N / N, 123 as_double(0x3fcebfc213e184d7) / N / N, 124 as_double(0x3fe62e42fefb5b7f) / N, 125 #endif 126 }, 127 }; 128 129 } // namespace __llvm_libc 130