Szabolcs Nagy | 86067a7 | 2017-08-11 15:35:12 +0100 | [diff] [blame] | 1 | /* |
Szabolcs Nagy | 1b94597 | 2018-05-14 14:46:40 +0100 | [diff] [blame] | 2 | * Shared data between expf, exp2f and powf. |
Szabolcs Nagy | 86067a7 | 2017-08-11 15:35:12 +0100 | [diff] [blame] | 3 | * |
Szabolcs Nagy | 11253b0 | 2018-11-12 11:10:57 +0000 | [diff] [blame] | 4 | * Copyright (c) 2017-2018, Arm Limited. |
| 5 | * SPDX-License-Identifier: MIT |
Szabolcs Nagy | 86067a7 | 2017-08-11 15:35:12 +0100 | [diff] [blame] | 6 | */ |
| 7 | |
| 8 | #include "math_config.h" |
| 9 | |
| 10 | #define N (1 << EXP2F_TABLE_BITS) |
| 11 | |
| 12 | const struct exp2f_data __exp2f_data = { |
| 13 | /* tab[i] = uint(2^(i/N)) - (i << 52-BITS) |
| 14 | used for computing 2^(k/N) for an int |k| < 150 N as |
| 15 | double(tab[k%N] + (k << 52-BITS)) */ |
| 16 | .tab = { |
| 17 | #if N == 8 |
| 18 | 0x3ff0000000000000, 0x3fef72b83c7d517b, 0x3fef06fe0a31b715, 0x3feebfdad5362a27, |
| 19 | 0x3feea09e667f3bcd, 0x3feeace5422aa0db, 0x3feee89f995ad3ad, 0x3fef5818dcfba487, |
| 20 | #elif N == 16 |
| 21 | 0x3ff0000000000000, 0x3fefb5586cf9890f, 0x3fef72b83c7d517b, 0x3fef387a6e756238, |
| 22 | 0x3fef06fe0a31b715, 0x3feedea64c123422, 0x3feebfdad5362a27, 0x3feeab07dd485429, |
| 23 | 0x3feea09e667f3bcd, 0x3feea11473eb0187, 0x3feeace5422aa0db, 0x3feec49182a3f090, |
| 24 | 0x3feee89f995ad3ad, 0x3fef199bdd85529c, 0x3fef5818dcfba487, 0x3fefa4afa2a490da, |
| 25 | #elif N == 32 |
| 26 | 0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 0x3fef9301d0125b51, |
| 27 | 0x3fef72b83c7d517b, 0x3fef54873168b9aa, 0x3fef387a6e756238, 0x3fef1e9df51fdee1, |
| 28 | 0x3fef06fe0a31b715, 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d, |
| 29 | 0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 0x3feea47eb03a5585, |
| 30 | 0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 0x3feea11473eb0187, 0x3feea589994cce13, |
| 31 | 0x3feeace5422aa0db, 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d, |
| 32 | 0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 0x3fef3720dcef9069, |
| 33 | 0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 0x3fefa4afa2a490da, 0x3fefd0765b6e4540, |
| 34 | #elif N == 64 |
| 35 | 0x3ff0000000000000, 0x3fefec9a3e778061, 0x3fefd9b0d3158574, 0x3fefc74518759bc8, |
| 36 | 0x3fefb5586cf9890f, 0x3fefa3ec32d3d1a2, 0x3fef9301d0125b51, 0x3fef829aaea92de0, |
| 37 | 0x3fef72b83c7d517b, 0x3fef635beb6fcb75, 0x3fef54873168b9aa, 0x3fef463b88628cd6, |
| 38 | 0x3fef387a6e756238, 0x3fef2b4565e27cdd, 0x3fef1e9df51fdee1, 0x3fef1285a6e4030b, |
| 39 | 0x3fef06fe0a31b715, 0x3feefc08b26416ff, 0x3feef1a7373aa9cb, 0x3feee7db34e59ff7, |
| 40 | 0x3feedea64c123422, 0x3feed60a21f72e2a, 0x3feece086061892d, 0x3feec6a2b5c13cd0, |
| 41 | 0x3feebfdad5362a27, 0x3feeb9b2769d2ca7, 0x3feeb42b569d4f82, 0x3feeaf4736b527da, |
| 42 | 0x3feeab07dd485429, 0x3feea76f15ad2148, 0x3feea47eb03a5585, 0x3feea23882552225, |
| 43 | 0x3feea09e667f3bcd, 0x3fee9fb23c651a2f, 0x3fee9f75e8ec5f74, 0x3fee9feb564267c9, |
| 44 | 0x3feea11473eb0187, 0x3feea2f336cf4e62, 0x3feea589994cce13, 0x3feea8d99b4492ed, |
| 45 | 0x3feeace5422aa0db, 0x3feeb1ae99157736, 0x3feeb737b0cdc5e5, 0x3feebd829fde4e50, |
| 46 | 0x3feec49182a3f090, 0x3feecc667b5de565, 0x3feed503b23e255d, 0x3feede6b5579fdbf, |
| 47 | 0x3feee89f995ad3ad, 0x3feef3a2b84f15fb, 0x3feeff76f2fb5e47, 0x3fef0c1e904bc1d2, |
| 48 | 0x3fef199bdd85529c, 0x3fef27f12e57d14b, 0x3fef3720dcef9069, 0x3fef472d4a07897c, |
| 49 | 0x3fef5818dcfba487, 0x3fef69e603db3285, 0x3fef7c97337b9b5f, 0x3fef902ee78b3ff6, |
| 50 | 0x3fefa4afa2a490da, 0x3fefba1bee615a27, 0x3fefd0765b6e4540, 0x3fefe7c1819e90d8, |
| 51 | #endif |
| 52 | }, |
| 53 | .shift_scaled = 0x1.8p+52 / N, |
| 54 | .poly = { |
| 55 | #if N == 8 |
| 56 | 0x1.c6a00335106e2p-5, 0x1.ec0c313449f55p-3, 0x1.62e431111f69fp-1, |
| 57 | #elif N == 16 |
| 58 | 0x1.c6ac6aa313963p-5, 0x1.ebfff4532d9bap-3, 0x1.62e43001bc49fp-1, |
| 59 | #elif N == 32 |
| 60 | 0x1.c6af84b912394p-5, 0x1.ebfce50fac4f3p-3, 0x1.62e42ff0c52d6p-1, |
| 61 | #elif N == 64 |
| 62 | 0x1.c6b04b4221b2ap-5, 0x1.ebfc213e184d7p-3, 0x1.62e42fefb5b7fp-1, |
| 63 | #endif |
| 64 | }, |
| 65 | .shift = 0x1.8p+52, |
| 66 | .invln2_scaled = 0x1.71547652b82fep+0 * N, |
| 67 | .poly_scaled = { |
| 68 | #if N == 8 |
| 69 | 0x1.c6a00335106e2p-5/N/N/N, 0x1.ec0c313449f55p-3/N/N, 0x1.62e431111f69fp-1/N, |
| 70 | #elif N == 16 |
| 71 | 0x1.c6ac6aa313963p-5/N/N/N, 0x1.ebfff4532d9bap-3/N/N, 0x1.62e43001bc49fp-1/N, |
| 72 | #elif N == 32 |
| 73 | 0x1.c6af84b912394p-5/N/N/N, 0x1.ebfce50fac4f3p-3/N/N, 0x1.62e42ff0c52d6p-1/N, |
| 74 | #elif N == 64 |
| 75 | 0x1.c6b04b4221b2ap-5/N/N/N, 0x1.ebfc213e184d7p-3/N/N, 0x1.62e42fefb5b7fp-1/N, |
| 76 | #endif |
| 77 | }, |
| 78 | }; |