131914882SAlex Richardson /* 231914882SAlex Richardson * Shared data between expf, exp2f and powf. 331914882SAlex Richardson * 431914882SAlex Richardson * Copyright (c) 2017-2018, Arm Limited. 5*072a4ba8SAndrew Turner * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 631914882SAlex Richardson */ 731914882SAlex Richardson 831914882SAlex Richardson #include "math_config.h" 931914882SAlex Richardson 1031914882SAlex Richardson #define N (1 << EXP2F_TABLE_BITS) 1131914882SAlex Richardson 1231914882SAlex Richardson const struct exp2f_data __exp2f_data = { 1331914882SAlex Richardson /* tab[i] = uint(2^(i/N)) - (i << 52-BITS) 1431914882SAlex Richardson used for computing 2^(k/N) for an int |k| < 150 N as 1531914882SAlex Richardson double(tab[k%N] + (k << 52-BITS)) */ 1631914882SAlex Richardson .tab = { 1731914882SAlex Richardson #if N == 8 1831914882SAlex Richardson 0x3ff0000000000000, 0x3fef72b83c7d517b, 0x3fef06fe0a31b715, 0x3feebfdad5362a27, 1931914882SAlex Richardson 0x3feea09e667f3bcd, 0x3feeace5422aa0db, 0x3feee89f995ad3ad, 0x3fef5818dcfba487, 2031914882SAlex Richardson #elif N == 16 2131914882SAlex Richardson 0x3ff0000000000000, 0x3fefb5586cf9890f, 0x3fef72b83c7d517b, 0x3fef387a6e756238, 2231914882SAlex Richardson 0x3fef06fe0a31b715, 0x3feedea64c123422, 0x3feebfdad5362a27, 0x3feeab07dd485429, 2331914882SAlex Richardson 0x3feea09e667f3bcd, 0x3feea11473eb0187, 0x3feeace5422aa0db, 0x3feec49182a3f090, 2431914882SAlex Richardson 0x3feee89f995ad3ad, 0x3fef199bdd85529c, 0x3fef5818dcfba487, 0x3fefa4afa2a490da, 2531914882SAlex Richardson #elif N == 32 2631914882SAlex Richardson 0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 0x3fef9301d0125b51, 2731914882SAlex Richardson 0x3fef72b83c7d517b, 0x3fef54873168b9aa, 0x3fef387a6e756238, 0x3fef1e9df51fdee1, 2831914882SAlex Richardson 0x3fef06fe0a31b715, 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d, 2931914882SAlex Richardson 0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 0x3feea47eb03a5585, 3031914882SAlex Richardson 0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 0x3feea11473eb0187, 0x3feea589994cce13, 3131914882SAlex Richardson 0x3feeace5422aa0db, 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d, 3231914882SAlex Richardson 0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 0x3fef3720dcef9069, 3331914882SAlex Richardson 0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 0x3fefa4afa2a490da, 0x3fefd0765b6e4540, 3431914882SAlex Richardson #elif N == 64 3531914882SAlex Richardson 0x3ff0000000000000, 0x3fefec9a3e778061, 0x3fefd9b0d3158574, 0x3fefc74518759bc8, 3631914882SAlex Richardson 0x3fefb5586cf9890f, 0x3fefa3ec32d3d1a2, 0x3fef9301d0125b51, 0x3fef829aaea92de0, 3731914882SAlex Richardson 0x3fef72b83c7d517b, 0x3fef635beb6fcb75, 0x3fef54873168b9aa, 0x3fef463b88628cd6, 3831914882SAlex Richardson 0x3fef387a6e756238, 0x3fef2b4565e27cdd, 0x3fef1e9df51fdee1, 0x3fef1285a6e4030b, 3931914882SAlex Richardson 0x3fef06fe0a31b715, 0x3feefc08b26416ff, 0x3feef1a7373aa9cb, 0x3feee7db34e59ff7, 4031914882SAlex Richardson 0x3feedea64c123422, 0x3feed60a21f72e2a, 0x3feece086061892d, 0x3feec6a2b5c13cd0, 4131914882SAlex Richardson 0x3feebfdad5362a27, 0x3feeb9b2769d2ca7, 0x3feeb42b569d4f82, 0x3feeaf4736b527da, 4231914882SAlex Richardson 0x3feeab07dd485429, 0x3feea76f15ad2148, 0x3feea47eb03a5585, 0x3feea23882552225, 4331914882SAlex Richardson 0x3feea09e667f3bcd, 0x3fee9fb23c651a2f, 0x3fee9f75e8ec5f74, 0x3fee9feb564267c9, 4431914882SAlex Richardson 0x3feea11473eb0187, 0x3feea2f336cf4e62, 0x3feea589994cce13, 0x3feea8d99b4492ed, 4531914882SAlex Richardson 0x3feeace5422aa0db, 0x3feeb1ae99157736, 0x3feeb737b0cdc5e5, 0x3feebd829fde4e50, 4631914882SAlex Richardson 0x3feec49182a3f090, 0x3feecc667b5de565, 0x3feed503b23e255d, 0x3feede6b5579fdbf, 4731914882SAlex Richardson 0x3feee89f995ad3ad, 0x3feef3a2b84f15fb, 0x3feeff76f2fb5e47, 0x3fef0c1e904bc1d2, 4831914882SAlex Richardson 0x3fef199bdd85529c, 0x3fef27f12e57d14b, 0x3fef3720dcef9069, 0x3fef472d4a07897c, 4931914882SAlex Richardson 0x3fef5818dcfba487, 0x3fef69e603db3285, 0x3fef7c97337b9b5f, 0x3fef902ee78b3ff6, 5031914882SAlex Richardson 0x3fefa4afa2a490da, 0x3fefba1bee615a27, 0x3fefd0765b6e4540, 0x3fefe7c1819e90d8, 5131914882SAlex Richardson #endif 5231914882SAlex Richardson }, 5331914882SAlex Richardson .shift_scaled = 0x1.8p+52 / N, 5431914882SAlex Richardson .poly = { 5531914882SAlex Richardson #if N == 8 5631914882SAlex Richardson 0x1.c6a00335106e2p-5, 0x1.ec0c313449f55p-3, 0x1.62e431111f69fp-1, 5731914882SAlex Richardson #elif N == 16 5831914882SAlex Richardson 0x1.c6ac6aa313963p-5, 0x1.ebfff4532d9bap-3, 0x1.62e43001bc49fp-1, 5931914882SAlex Richardson #elif N == 32 6031914882SAlex Richardson 0x1.c6af84b912394p-5, 0x1.ebfce50fac4f3p-3, 0x1.62e42ff0c52d6p-1, 6131914882SAlex Richardson #elif N == 64 6231914882SAlex Richardson 0x1.c6b04b4221b2ap-5, 0x1.ebfc213e184d7p-3, 0x1.62e42fefb5b7fp-1, 6331914882SAlex Richardson #endif 6431914882SAlex Richardson }, 6531914882SAlex Richardson .shift = 0x1.8p+52, 6631914882SAlex Richardson .invln2_scaled = 0x1.71547652b82fep+0 * N, 6731914882SAlex Richardson .poly_scaled = { 6831914882SAlex Richardson #if N == 8 6931914882SAlex Richardson 0x1.c6a00335106e2p-5/N/N/N, 0x1.ec0c313449f55p-3/N/N, 0x1.62e431111f69fp-1/N, 7031914882SAlex Richardson #elif N == 16 7131914882SAlex Richardson 0x1.c6ac6aa313963p-5/N/N/N, 0x1.ebfff4532d9bap-3/N/N, 0x1.62e43001bc49fp-1/N, 7231914882SAlex Richardson #elif N == 32 7331914882SAlex Richardson 0x1.c6af84b912394p-5/N/N/N, 0x1.ebfce50fac4f3p-3/N/N, 0x1.62e42ff0c52d6p-1/N, 7431914882SAlex Richardson #elif N == 64 7531914882SAlex Richardson 0x1.c6b04b4221b2ap-5/N/N/N, 0x1.ebfc213e184d7p-3/N/N, 0x1.62e42fefb5b7fp-1/N, 7631914882SAlex Richardson #endif 7731914882SAlex Richardson }, 7831914882SAlex Richardson }; 79