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
11namespace LIBC_NAMESPACE {
12
13const 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

source code of libc/src/math/generic/exp_utils.cpp