| 1 | //===-- Single-precision general exp/log functions ------------------------===// |
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| 2 | // |
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| 3 | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
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| 4 | // See https://llvm.org/LICENSE.txt for license information. |
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| 5 | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
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| 6 | // |
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| 7 | //===----------------------------------------------------------------------===// |
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| 8 | |
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| 9 | #include "explogxf.h" |
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| 10 | |
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| 11 | namespace LIBC_NAMESPACE { |
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| 12 | |
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| 13 | // N[Table[Log[2, 1 + x], {x, 0/64, 63/64, 1/64}], 40] |
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| 14 | alignas(64) const double LOG_P1_LOG2[LOG_P1_SIZE] = { |
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| 15 | 0x0.0000000000000p+0, 0x1.6e79685c2d22ap-6, 0x1.6bad3758efd87p-5, |
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| 16 | 0x1.0eb389fa29f9bp-4, 0x1.663f6fac91316p-4, 0x1.bc84240adabbap-4, |
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| 17 | 0x1.08c588cda79e4p-3, 0x1.32ae9e278ae1ap-3, 0x1.5c01a39fbd688p-3, |
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| 18 | 0x1.84c2bd02f03b3p-3, 0x1.acf5e2db4ec94p-3, 0x1.d49ee4c325970p-3, |
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| 19 | 0x1.fbc16b902680ap-3, 0x1.11307dad30b76p-2, 0x1.24407ab0e073ap-2, |
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| 20 | 0x1.37124cea4cdedp-2, 0x1.49a784bcd1b8bp-2, 0x1.5c01a39fbd688p-2, |
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| 21 | 0x1.6e221cd9d0cdep-2, 0x1.800a563161c54p-2, 0x1.91bba891f1709p-2, |
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| 22 | 0x1.a33760a7f6051p-2, 0x1.b47ebf73882a1p-2, 0x1.c592fad295b56p-2, |
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| 23 | 0x1.d6753e032ea0fp-2, 0x1.e726aa1e754d2p-2, 0x1.f7a8568cb06cfp-2, |
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| 24 | 0x1.03fda8b97997fp-1, 0x1.0c10500d63aa6p-1, 0x1.140c9faa1e544p-1, |
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| 25 | 0x1.1bf311e95d00ep-1, 0x1.23c41d42727c8p-1, 0x1.2b803473f7ad1p-1, |
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| 26 | 0x1.3327c6ab49ca7p-1, 0x1.3abb3faa02167p-1, 0x1.423b07e986aa9p-1, |
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| 27 | 0x1.49a784bcd1b8bp-1, 0x1.510118708a8f9p-1, 0x1.5848226989d34p-1, |
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| 28 | 0x1.5f7cff41e09afp-1, 0x1.66a008e4788ccp-1, 0x1.6db196a76194ap-1, |
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| 29 | 0x1.74b1fd64e0754p-1, 0x1.7ba18f93502e4p-1, 0x1.82809d5be7073p-1, |
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| 30 | 0x1.894f74b06ef8bp-1, 0x1.900e6160002cdp-1, 0x1.96bdad2acb5f6p-1, |
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| 31 | 0x1.9d5d9fd5010b3p-1, 0x1.a3ee7f38e181fp-1, 0x1.aa708f58014d3p-1, |
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| 32 | 0x1.b0e4126bcc86cp-1, 0x1.b74948f5532dap-1, 0x1.bda071cc67e6ep-1, |
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| 33 | 0x1.c3e9ca2e1a055p-1, 0x1.ca258dca93316p-1, 0x1.d053f6d260896p-1, |
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| 34 | 0x1.d6753e032ea0fp-1, 0x1.dc899ab3ff56cp-1, 0x1.e29142e0e0140p-1, |
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| 35 | 0x1.e88c6b3626a73p-1, 0x1.ee7b471b3a950p-1, 0x1.f45e08bcf0655p-1, |
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| 36 | 0x1.fa34e1177c233p-1, |
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| 37 | }; |
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| 38 | |
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| 39 | // N[Table[1/(1 + x), {x, 0/64, 63/64, 1/64}], 40] |
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| 40 | alignas(64) const double LOG_P1_1_OVER[LOG_P1_SIZE] = { |
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| 41 | 0x1.0000000000000p+0, 0x1.f81f81f81f820p-1, 0x1.f07c1f07c1f08p-1, |
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| 42 | 0x1.e9131abf0b767p-1, 0x1.e1e1e1e1e1e1ep-1, 0x1.dae6076b981dbp-1, |
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| 43 | 0x1.d41d41d41d41dp-1, 0x1.cd85689039b0bp-1, 0x1.c71c71c71c71cp-1, |
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| 44 | 0x1.c0e070381c0e0p-1, 0x1.bacf914c1bad0p-1, 0x1.b4e81b4e81b4fp-1, |
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| 45 | 0x1.af286bca1af28p-1, 0x1.a98ef606a63bep-1, 0x1.a41a41a41a41ap-1, |
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| 46 | 0x1.9ec8e951033d9p-1, 0x1.999999999999ap-1, 0x1.948b0fcd6e9e0p-1, |
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| 47 | 0x1.8f9c18f9c18fap-1, 0x1.8acb90f6bf3aap-1, 0x1.8618618618618p-1, |
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| 48 | 0x1.8181818181818p-1, 0x1.7d05f417d05f4p-1, 0x1.78a4c8178a4c8p-1, |
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| 49 | 0x1.745d1745d1746p-1, 0x1.702e05c0b8170p-1, 0x1.6c16c16c16c17p-1, |
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| 50 | 0x1.6816816816817p-1, 0x1.642c8590b2164p-1, 0x1.6058160581606p-1, |
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| 51 | 0x1.5c9882b931057p-1, 0x1.58ed2308158edp-1, 0x1.5555555555555p-1, |
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| 52 | 0x1.51d07eae2f815p-1, 0x1.4e5e0a72f0539p-1, 0x1.4afd6a052bf5bp-1, |
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| 53 | 0x1.47ae147ae147bp-1, 0x1.446f86562d9fbp-1, 0x1.4141414141414p-1, |
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| 54 | 0x1.3e22cbce4a902p-1, 0x1.3b13b13b13b14p-1, 0x1.3813813813814p-1, |
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| 55 | 0x1.3521cfb2b78c1p-1, 0x1.323e34a2b10bfp-1, 0x1.2f684bda12f68p-1, |
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| 56 | 0x1.2c9fb4d812ca0p-1, 0x1.29e4129e4129ep-1, 0x1.27350b8812735p-1, |
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| 57 | 0x1.2492492492492p-1, 0x1.21fb78121fb78p-1, 0x1.1f7047dc11f70p-1, |
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| 58 | 0x1.1cf06ada2811dp-1, 0x1.1a7b9611a7b96p-1, 0x1.1811811811812p-1, |
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| 59 | 0x1.15b1e5f75270dp-1, 0x1.135c81135c811p-1, 0x1.1111111111111p-1, |
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| 60 | 0x1.0ecf56be69c90p-1, 0x1.0c9714fbcda3bp-1, 0x1.0a6810a6810a7p-1, |
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| 61 | 0x1.0842108421084p-1, 0x1.0624dd2f1a9fcp-1, 0x1.0410410410410p-1, |
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| 62 | 0x1.0204081020408p-1}; |
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| 63 | |
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| 64 | // Taylos series expansion for Log[2, 1 + x] splitted to EVEN AND ODD numbers |
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| 65 | // K_LOG2_ODD starts from x^3 |
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| 66 | alignas(64) const |
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| 67 | double K_LOG2_ODD[4] = {0x1.ec709dc3a03fdp-2, 0x1.2776c50ef9bfep-2, |
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| 68 | 0x1.a61762a7aded9p-3, 0x1.484b13d7c02a9p-3}; |
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| 69 | |
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| 70 | alignas(64) const |
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| 71 | double K_LOG2_EVEN[4] = {-0x1.71547652b82fep-1, -0x1.71547652b82fep-2, |
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| 72 | -0x1.ec709dc3a03fdp-3, -0x1.2776c50ef9bfep-3}; |
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| 73 | |
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| 74 | } // namespace LIBC_NAMESPACE |
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| 75 | |
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