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80 lines
3.7 KiB
80 lines
3.7 KiB
4 months ago
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/*
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* Shared data between expf, exp2f and powf.
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*
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* Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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* See https://llvm.org/LICENSE.txt for license information.
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* SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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*/
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#include "math_config.h"
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#define N (1 << EXP2F_TABLE_BITS)
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const struct exp2f_data __exp2f_data = {
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/* tab[i] = uint(2^(i/N)) - (i << 52-BITS)
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used for computing 2^(k/N) for an int |k| < 150 N as
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double(tab[k%N] + (k << 52-BITS)) */
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.tab = {
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#if N == 8
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0x3ff0000000000000, 0x3fef72b83c7d517b, 0x3fef06fe0a31b715, 0x3feebfdad5362a27,
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0x3feea09e667f3bcd, 0x3feeace5422aa0db, 0x3feee89f995ad3ad, 0x3fef5818dcfba487,
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#elif N == 16
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0x3ff0000000000000, 0x3fefb5586cf9890f, 0x3fef72b83c7d517b, 0x3fef387a6e756238,
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0x3fef06fe0a31b715, 0x3feedea64c123422, 0x3feebfdad5362a27, 0x3feeab07dd485429,
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0x3feea09e667f3bcd, 0x3feea11473eb0187, 0x3feeace5422aa0db, 0x3feec49182a3f090,
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0x3feee89f995ad3ad, 0x3fef199bdd85529c, 0x3fef5818dcfba487, 0x3fefa4afa2a490da,
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#elif N == 32
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0x3ff0000000000000, 0x3fefd9b0d3158574, 0x3fefb5586cf9890f, 0x3fef9301d0125b51,
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0x3fef72b83c7d517b, 0x3fef54873168b9aa, 0x3fef387a6e756238, 0x3fef1e9df51fdee1,
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0x3fef06fe0a31b715, 0x3feef1a7373aa9cb, 0x3feedea64c123422, 0x3feece086061892d,
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0x3feebfdad5362a27, 0x3feeb42b569d4f82, 0x3feeab07dd485429, 0x3feea47eb03a5585,
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0x3feea09e667f3bcd, 0x3fee9f75e8ec5f74, 0x3feea11473eb0187, 0x3feea589994cce13,
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0x3feeace5422aa0db, 0x3feeb737b0cdc5e5, 0x3feec49182a3f090, 0x3feed503b23e255d,
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0x3feee89f995ad3ad, 0x3feeff76f2fb5e47, 0x3fef199bdd85529c, 0x3fef3720dcef9069,
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0x3fef5818dcfba487, 0x3fef7c97337b9b5f, 0x3fefa4afa2a490da, 0x3fefd0765b6e4540,
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#elif N == 64
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0x3ff0000000000000, 0x3fefec9a3e778061, 0x3fefd9b0d3158574, 0x3fefc74518759bc8,
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0x3fefb5586cf9890f, 0x3fefa3ec32d3d1a2, 0x3fef9301d0125b51, 0x3fef829aaea92de0,
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0x3fef72b83c7d517b, 0x3fef635beb6fcb75, 0x3fef54873168b9aa, 0x3fef463b88628cd6,
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0x3fef387a6e756238, 0x3fef2b4565e27cdd, 0x3fef1e9df51fdee1, 0x3fef1285a6e4030b,
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0x3fef06fe0a31b715, 0x3feefc08b26416ff, 0x3feef1a7373aa9cb, 0x3feee7db34e59ff7,
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0x3feedea64c123422, 0x3feed60a21f72e2a, 0x3feece086061892d, 0x3feec6a2b5c13cd0,
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0x3feebfdad5362a27, 0x3feeb9b2769d2ca7, 0x3feeb42b569d4f82, 0x3feeaf4736b527da,
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0x3feeab07dd485429, 0x3feea76f15ad2148, 0x3feea47eb03a5585, 0x3feea23882552225,
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0x3feea09e667f3bcd, 0x3fee9fb23c651a2f, 0x3fee9f75e8ec5f74, 0x3fee9feb564267c9,
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0x3feea11473eb0187, 0x3feea2f336cf4e62, 0x3feea589994cce13, 0x3feea8d99b4492ed,
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0x3feeace5422aa0db, 0x3feeb1ae99157736, 0x3feeb737b0cdc5e5, 0x3feebd829fde4e50,
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0x3feec49182a3f090, 0x3feecc667b5de565, 0x3feed503b23e255d, 0x3feede6b5579fdbf,
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0x3feee89f995ad3ad, 0x3feef3a2b84f15fb, 0x3feeff76f2fb5e47, 0x3fef0c1e904bc1d2,
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0x3fef199bdd85529c, 0x3fef27f12e57d14b, 0x3fef3720dcef9069, 0x3fef472d4a07897c,
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0x3fef5818dcfba487, 0x3fef69e603db3285, 0x3fef7c97337b9b5f, 0x3fef902ee78b3ff6,
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0x3fefa4afa2a490da, 0x3fefba1bee615a27, 0x3fefd0765b6e4540, 0x3fefe7c1819e90d8,
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#endif
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},
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.shift_scaled = 0x1.8p+52 / N,
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.poly = {
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#if N == 8
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0x1.c6a00335106e2p-5, 0x1.ec0c313449f55p-3, 0x1.62e431111f69fp-1,
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#elif N == 16
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0x1.c6ac6aa313963p-5, 0x1.ebfff4532d9bap-3, 0x1.62e43001bc49fp-1,
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#elif N == 32
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0x1.c6af84b912394p-5, 0x1.ebfce50fac4f3p-3, 0x1.62e42ff0c52d6p-1,
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#elif N == 64
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0x1.c6b04b4221b2ap-5, 0x1.ebfc213e184d7p-3, 0x1.62e42fefb5b7fp-1,
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#endif
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},
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.shift = 0x1.8p+52,
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.invln2_scaled = 0x1.71547652b82fep+0 * N,
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.poly_scaled = {
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#if N == 8
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0x1.c6a00335106e2p-5/N/N/N, 0x1.ec0c313449f55p-3/N/N, 0x1.62e431111f69fp-1/N,
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#elif N == 16
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0x1.c6ac6aa313963p-5/N/N/N, 0x1.ebfff4532d9bap-3/N/N, 0x1.62e43001bc49fp-1/N,
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#elif N == 32
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0x1.c6af84b912394p-5/N/N/N, 0x1.ebfce50fac4f3p-3/N/N, 0x1.62e42ff0c52d6p-1/N,
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#elif N == 64
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0x1.c6b04b4221b2ap-5/N/N/N, 0x1.ebfc213e184d7p-3/N/N, 0x1.62e42fefb5b7fp-1/N,
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#endif
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},
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};
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