glibc/sysdeps/aarch64/fpu/sv_erf_data.c
Joe Ramsay cb5d84f1f8 aarch64/fpu: Add vector variants of erf
Reviewed-by: Szabolcs Nagy <szabolcs.nagy@arm.com>
2024-04-04 10:32:48 +01:00

1571 lines
42 KiB
C

/* Table for SVE erf approximation
Copyright (C) 2024 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
#include "vecmath_config.h"
/* Lookup table used in vector erf.
For each possible rounded input r (multiples of 1/128), between
r = 0.0 and r = 6.0 (769 values):
- the first entry __erf_data.tab.erf contains the values of erf(r),
- the second entry __erf_data.tab.scale contains the values of
2/sqrt(pi)*exp(-r^2). Note that indices 0 and 1 are never hit by the
algorithm, since lookup is performed only for x >= 1/64-1/512. */
const struct sv_erf_data __sv_erf_data = {
.erf = { 0x0.0000000000000p+0,
0x1.20dbf3deb1340p-7,
0x1.20d77083f17a0p-6,
0x1.b137e0cf584dcp-6,
0x1.20c5645dd2538p-5,
0x1.68e5d3bbc9526p-5,
0x1.b0fafef135745p-5,
0x1.f902a77bd3821p-5,
0x1.207d480e90658p-4,
0x1.44703e87e8593p-4,
0x1.68591a1e83b5dp-4,
0x1.8c36beb8a8d23p-4,
0x1.b0081148a873ap-4,
0x1.d3cbf7e70a4b3p-4,
0x1.f78159ec8bb50p-4,
0x1.0d939005f65e5p-3,
0x1.1f5e1a35c3b89p-3,
0x1.311fc15f56d14p-3,
0x1.42d7fc2f64959p-3,
0x1.548642321d7c6p-3,
0x1.662a0bdf7a89fp-3,
0x1.77c2d2a765f9ep-3,
0x1.895010fdbdbfdp-3,
0x1.9ad142662e14dp-3,
0x1.ac45e37fe2526p-3,
0x1.bdad72110a648p-3,
0x1.cf076d1233237p-3,
0x1.e05354b96ff36p-3,
0x1.f190aa85540e2p-3,
0x1.015f78a3dcf3dp-2,
0x1.09eed6982b948p-2,
0x1.127631eb8de32p-2,
0x1.1af54e232d609p-2,
0x1.236bef825d9a2p-2,
0x1.2bd9db0f7827fp-2,
0x1.343ed6989b7d9p-2,
0x1.3c9aa8b84bedap-2,
0x1.44ed18d9f6462p-2,
0x1.4d35ef3e5372ep-2,
0x1.5574f4ffac98ep-2,
0x1.5da9f415ff23fp-2,
0x1.65d4b75b00471p-2,
0x1.6df50a8dff772p-2,
0x1.760aba57a76bfp-2,
0x1.7e15944d9d3e4p-2,
0x1.861566f5fd3c0p-2,
0x1.8e0a01cab516bp-2,
0x1.95f3353cbb146p-2,
0x1.9dd0d2b721f39p-2,
0x1.a5a2aca209394p-2,
0x1.ad68966569a87p-2,
0x1.b522646bbda68p-2,
0x1.bccfec24855b8p-2,
0x1.c4710406a65fcp-2,
0x1.cc058392a6d2dp-2,
0x1.d38d4354c3bd0p-2,
0x1.db081ce6e2a48p-2,
0x1.e275eaf25e458p-2,
0x1.e9d68931ae650p-2,
0x1.f129d471eabb1p-2,
0x1.f86faa9428f9dp-2,
0x1.ffa7ea8eb5fd0p-2,
0x1.03693a371519cp-1,
0x1.06f794ab2cae7p-1,
0x1.0a7ef5c18edd2p-1,
0x1.0dff4f247f6c6p-1,
0x1.1178930ada115p-1,
0x1.14eab43841b55p-1,
0x1.1855a5fd3dd50p-1,
0x1.1bb95c3746199p-1,
0x1.1f15cb50bc4dep-1,
0x1.226ae840d4d70p-1,
0x1.25b8a88b6dd7fp-1,
0x1.28ff0240d52cdp-1,
0x1.2c3debfd7d6c1p-1,
0x1.2f755ce9a21f4p-1,
0x1.32a54cb8db67bp-1,
0x1.35cdb3a9a144dp-1,
0x1.38ee8a84beb71p-1,
0x1.3c07ca9cb4f9ep-1,
0x1.3f196dcd0f135p-1,
0x1.42236e79a5fa6p-1,
0x1.4525c78dd5966p-1,
0x1.4820747ba2dc2p-1,
0x1.4b13713ad3513p-1,
0x1.4dfeba47f63ccp-1,
0x1.50e24ca35fd2cp-1,
0x1.53be25d016a4fp-1,
0x1.569243d2b3a9bp-1,
0x1.595ea53035283p-1,
0x1.5c2348ecc4dc3p-1,
0x1.5ee02e8a71a53p-1,
0x1.61955607dd15dp-1,
0x1.6442bfdedd397p-1,
0x1.66e86d0312e82p-1,
0x1.69865ee075011p-1,
0x1.6c1c9759d0e5fp-1,
0x1.6eab18c74091bp-1,
0x1.7131e5f496a5ap-1,
0x1.73b1021fc0cb8p-1,
0x1.762870f720c6fp-1,
0x1.78983697dc96fp-1,
0x1.7b00578c26037p-1,
0x1.7d60d8c979f7bp-1,
0x1.7fb9bfaed8078p-1,
0x1.820b1202f27fbp-1,
0x1.8454d5f25760dp-1,
0x1.8697120d92a4ap-1,
0x1.88d1cd474a2e0p-1,
0x1.8b050ef253c37p-1,
0x1.8d30debfc572ep-1,
0x1.8f5544bd00c04p-1,
0x1.91724951b8fc6p-1,
0x1.9387f53df5238p-1,
0x1.959651980da31p-1,
0x1.979d67caa6631p-1,
0x1.999d4192a5715p-1,
0x1.9b95e8fd26abap-1,
0x1.9d8768656cc42p-1,
0x1.9f71ca72cffb6p-1,
0x1.a1551a16aaeafp-1,
0x1.a331628a45b92p-1,
0x1.a506af4cc00f4p-1,
0x1.a6d50c20fa293p-1,
0x1.a89c850b7d54dp-1,
0x1.aa5d265064366p-1,
0x1.ac16fc7143263p-1,
0x1.adca142b10f98p-1,
0x1.af767a741088bp-1,
0x1.b11c3c79bb424p-1,
0x1.b2bb679ead19cp-1,
0x1.b4540978921eep-1,
0x1.b5e62fce16095p-1,
0x1.b771e894d602ep-1,
0x1.b8f741ef54f83p-1,
0x1.ba764a2af2b78p-1,
0x1.bbef0fbde6221p-1,
0x1.bd61a1453ab44p-1,
0x1.bece0d82d1a5cp-1,
0x1.c034635b66e23p-1,
0x1.c194b1d49a184p-1,
0x1.c2ef0812fc1bdp-1,
0x1.c443755820d64p-1,
0x1.c5920900b5fd1p-1,
0x1.c6dad2829ec62p-1,
0x1.c81de16b14cefp-1,
0x1.c95b455cce69dp-1,
0x1.ca930e0e2a825p-1,
0x1.cbc54b476248dp-1,
0x1.ccf20ce0c0d27p-1,
0x1.ce1962c0e0d8bp-1,
0x1.cf3b5cdaf0c39p-1,
0x1.d0580b2cfd249p-1,
0x1.d16f7dbe41ca0p-1,
0x1.d281c49d818d0p-1,
0x1.d38eefdf64fddp-1,
0x1.d4970f9ce00d9p-1,
0x1.d59a33f19ed42p-1,
0x1.d6986cfa798e7p-1,
0x1.d791cad3eff01p-1,
0x1.d8865d98abe01p-1,
0x1.d97635600bb89p-1,
0x1.da61623cb41e0p-1,
0x1.db47f43b2980dp-1,
0x1.dc29fb60715afp-1,
0x1.dd0787a8bb39dp-1,
0x1.dde0a90611a0dp-1,
0x1.deb56f5f12d28p-1,
0x1.df85ea8db188ep-1,
0x1.e0522a5dfda73p-1,
0x1.e11a3e8cf4eb8p-1,
0x1.e1de36c75ba58p-1,
0x1.e29e22a89d766p-1,
0x1.e35a11b9b61cep-1,
0x1.e4121370224ccp-1,
0x1.e4c6372cd8927p-1,
0x1.e5768c3b4a3fcp-1,
0x1.e62321d06c5e0p-1,
0x1.e6cc0709c8a0dp-1,
0x1.e7714aec96534p-1,
0x1.e812fc64db369p-1,
0x1.e8b12a44944a8p-1,
0x1.e94be342e6743p-1,
0x1.e9e335fb56f87p-1,
0x1.ea7730ed0bbb9p-1,
0x1.eb07e27a133aap-1,
0x1.eb9558e6b42cep-1,
0x1.ec1fa258c4beap-1,
0x1.eca6ccd709544p-1,
0x1.ed2ae6489ac1ep-1,
0x1.edabfc7453e63p-1,
0x1.ee2a1d004692cp-1,
0x1.eea5557137ae0p-1,
0x1.ef1db32a2277cp-1,
0x1.ef93436bc2daap-1,
0x1.f006135426b26p-1,
0x1.f0762fde45ee6p-1,
0x1.f0e3a5e1a1788p-1,
0x1.f14e8211e8c55p-1,
0x1.f1b6d0fea5f4dp-1,
0x1.f21c9f12f0677p-1,
0x1.f27ff89525acfp-1,
0x1.f2e0e9a6a8b09p-1,
0x1.f33f7e43a706bp-1,
0x1.f39bc242e43e6p-1,
0x1.f3f5c1558b19ep-1,
0x1.f44d870704911p-1,
0x1.f4a31ebcd47dfp-1,
0x1.f4f693b67bd77p-1,
0x1.f547f10d60597p-1,
0x1.f59741b4b97cfp-1,
0x1.f5e4907982a07p-1,
0x1.f62fe80272419p-1,
0x1.f67952cff6282p-1,
0x1.f6c0db3c34641p-1,
0x1.f7068b7b10fd9p-1,
0x1.f74a6d9a38383p-1,
0x1.f78c8b812d498p-1,
0x1.f7cceef15d631p-1,
0x1.f80ba18636f07p-1,
0x1.f848acb544e95p-1,
0x1.f88419ce4e184p-1,
0x1.f8bdf1fb78370p-1,
0x1.f8f63e416ebffp-1,
0x1.f92d077f8d56dp-1,
0x1.f96256700da8ep-1,
0x1.f99633a838a57p-1,
0x1.f9c8a7989af0dp-1,
0x1.f9f9ba8d3c733p-1,
0x1.fa2974addae45p-1,
0x1.fa57ddfe27376p-1,
0x1.fa84fe5e05c8dp-1,
0x1.fab0dd89d1309p-1,
0x1.fadb831a9f9c3p-1,
0x1.fb04f6868a944p-1,
0x1.fb2d3f20f9101p-1,
0x1.fb54641aebbc9p-1,
0x1.fb7a6c834b5a2p-1,
0x1.fb9f5f4739170p-1,
0x1.fbc3433260ca5p-1,
0x1.fbe61eef4cf6ap-1,
0x1.fc07f907bc794p-1,
0x1.fc28d7e4f9cd0p-1,
0x1.fc48c1d033c7ap-1,
0x1.fc67bcf2d7b8fp-1,
0x1.fc85cf56ecd38p-1,
0x1.fca2fee770c79p-1,
0x1.fcbf5170b578bp-1,
0x1.fcdacca0bfb73p-1,
0x1.fcf57607a6e7cp-1,
0x1.fd0f5317f582fp-1,
0x1.fd2869270a56fp-1,
0x1.fd40bd6d7a785p-1,
0x1.fd58550773cb5p-1,
0x1.fd6f34f52013ap-1,
0x1.fd85621b0876dp-1,
0x1.fd9ae142795e3p-1,
0x1.fdafb719e6a69p-1,
0x1.fdc3e835500b3p-1,
0x1.fdd7790ea5bc0p-1,
0x1.fdea6e062d0c9p-1,
0x1.fdfccb62e52d3p-1,
0x1.fe0e9552ebdd6p-1,
0x1.fe1fcfebe2083p-1,
0x1.fe307f2b503d0p-1,
0x1.fe40a6f70af4bp-1,
0x1.fe504b1d9696cp-1,
0x1.fe5f6f568b301p-1,
0x1.fe6e1742f7cf6p-1,
0x1.fe7c466dc57a1p-1,
0x1.fe8a004c19ae6p-1,
0x1.fe97483db8670p-1,
0x1.fea4218d6594ap-1,
0x1.feb08f7146046p-1,
0x1.febc950b3fa75p-1,
0x1.fec835695932ep-1,
0x1.fed37386190fbp-1,
0x1.fede5248e38f4p-1,
0x1.fee8d486585eep-1,
0x1.fef2fd00af31ap-1,
0x1.fefcce6813974p-1,
0x1.ff064b5afffbep-1,
0x1.ff0f766697c76p-1,
0x1.ff18520700971p-1,
0x1.ff20e0a7ba8c2p-1,
0x1.ff2924a3f7a83p-1,
0x1.ff312046f2339p-1,
0x1.ff38d5cc4227fp-1,
0x1.ff404760319b4p-1,
0x1.ff47772010262p-1,
0x1.ff4e671a85425p-1,
0x1.ff55194fe19dfp-1,
0x1.ff5b8fb26f5f6p-1,
0x1.ff61cc26c1578p-1,
0x1.ff67d08401202p-1,
0x1.ff6d9e943c231p-1,
0x1.ff733814af88cp-1,
0x1.ff789eb6130c9p-1,
0x1.ff7dd41ce2b4dp-1,
0x1.ff82d9e1a76d8p-1,
0x1.ff87b1913e853p-1,
0x1.ff8c5cad200a5p-1,
0x1.ff90dcaba4096p-1,
0x1.ff9532f846ab0p-1,
0x1.ff9960f3eb327p-1,
0x1.ff9d67f51ddbap-1,
0x1.ffa14948549a7p-1,
0x1.ffa506302ebaep-1,
0x1.ffa89fe5b3625p-1,
0x1.ffac17988ef4bp-1,
0x1.ffaf6e6f4f5c0p-1,
0x1.ffb2a5879f35ep-1,
0x1.ffb5bdf67fe6fp-1,
0x1.ffb8b8c88295fp-1,
0x1.ffbb970200110p-1,
0x1.ffbe599f4f9d9p-1,
0x1.ffc10194fcb64p-1,
0x1.ffc38fcffbb7cp-1,
0x1.ffc60535dd7f5p-1,
0x1.ffc862a501fd7p-1,
0x1.ffcaa8f4c9beap-1,
0x1.ffccd8f5c66d1p-1,
0x1.ffcef371ea4d7p-1,
0x1.ffd0f92cb6ba7p-1,
0x1.ffd2eae369a07p-1,
0x1.ffd4c94d29fdbp-1,
0x1.ffd6951b33686p-1,
0x1.ffd84ef9009eep-1,
0x1.ffd9f78c7524ap-1,
0x1.ffdb8f7605ee7p-1,
0x1.ffdd1750e1220p-1,
0x1.ffde8fb314ebfp-1,
0x1.ffdff92db56e5p-1,
0x1.ffe1544d01ccbp-1,
0x1.ffe2a1988857cp-1,
0x1.ffe3e19349dc7p-1,
0x1.ffe514bbdc197p-1,
0x1.ffe63b8c8b5f7p-1,
0x1.ffe7567b7b5e1p-1,
0x1.ffe865fac722bp-1,
0x1.ffe96a78a04a9p-1,
0x1.ffea645f6d6dap-1,
0x1.ffeb5415e7c44p-1,
0x1.ffec39ff380b9p-1,
0x1.ffed167b12ac2p-1,
0x1.ffede9e5d3262p-1,
0x1.ffeeb49896c6dp-1,
0x1.ffef76e956a9fp-1,
0x1.fff0312b010b5p-1,
0x1.fff0e3ad91ec2p-1,
0x1.fff18ebe2b0e1p-1,
0x1.fff232a72b48ep-1,
0x1.fff2cfb0453d9p-1,
0x1.fff3661e9569dp-1,
0x1.fff3f634b79f9p-1,
0x1.fff48032dbe40p-1,
0x1.fff50456dab8cp-1,
0x1.fff582dc48d30p-1,
0x1.fff5fbfc8a439p-1,
0x1.fff66feee5129p-1,
0x1.fff6dee89352ep-1,
0x1.fff7491cd4af6p-1,
0x1.fff7aebcff755p-1,
0x1.fff80ff8911fdp-1,
0x1.fff86cfd3e657p-1,
0x1.fff8c5f702ccfp-1,
0x1.fff91b102fca8p-1,
0x1.fff96c717b695p-1,
0x1.fff9ba420e834p-1,
0x1.fffa04a7928b1p-1,
0x1.fffa4bc63ee9ap-1,
0x1.fffa8fc0e5f33p-1,
0x1.fffad0b901755p-1,
0x1.fffb0ecebee1bp-1,
0x1.fffb4a210b172p-1,
0x1.fffb82cd9dcbfp-1,
0x1.fffbb8f1049c6p-1,
0x1.fffbeca6adbe9p-1,
0x1.fffc1e08f25f5p-1,
0x1.fffc4d3120aa1p-1,
0x1.fffc7a37857d2p-1,
0x1.fffca53375ce3p-1,
0x1.fffcce3b57bffp-1,
0x1.fffcf564ab6b7p-1,
0x1.fffd1ac4135f9p-1,
0x1.fffd3e6d5cd87p-1,
0x1.fffd607387b07p-1,
0x1.fffd80e8ce0dap-1,
0x1.fffd9fdeabccep-1,
0x1.fffdbd65e5ad0p-1,
0x1.fffdd98e903b2p-1,
0x1.fffdf46816833p-1,
0x1.fffe0e0140857p-1,
0x1.fffe26683972ap-1,
0x1.fffe3daa95b18p-1,
0x1.fffe53d558ae9p-1,
0x1.fffe68f4fa777p-1,
0x1.fffe7d156d244p-1,
0x1.fffe904222101p-1,
0x1.fffea2860ee1ep-1,
0x1.fffeb3ebb267bp-1,
0x1.fffec47d19457p-1,
0x1.fffed443e2787p-1,
0x1.fffee34943b15p-1,
0x1.fffef1960d85dp-1,
0x1.fffeff32af7afp-1,
0x1.ffff0c273bea2p-1,
0x1.ffff187b6bc0ep-1,
0x1.ffff2436a21dcp-1,
0x1.ffff2f5fefcaap-1,
0x1.ffff39fe16963p-1,
0x1.ffff44178c8d2p-1,
0x1.ffff4db27f146p-1,
0x1.ffff56d4d5e5ep-1,
0x1.ffff5f8435efcp-1,
0x1.ffff67c604180p-1,
0x1.ffff6f9f67e55p-1,
0x1.ffff77154e0d6p-1,
0x1.ffff7e2c6aea2p-1,
0x1.ffff84e93cd75p-1,
0x1.ffff8b500e77cp-1,
0x1.ffff9164f8e46p-1,
0x1.ffff972be5c59p-1,
0x1.ffff9ca891572p-1,
0x1.ffffa1de8c582p-1,
0x1.ffffa6d13de73p-1,
0x1.ffffab83e54b8p-1,
0x1.ffffaff99bac4p-1,
0x1.ffffb43555b5fp-1,
0x1.ffffb839e52f3p-1,
0x1.ffffbc09fa7cdp-1,
0x1.ffffbfa82616bp-1,
0x1.ffffc316d9ed0p-1,
0x1.ffffc6586abf6p-1,
0x1.ffffc96f1165ep-1,
0x1.ffffcc5cec0c1p-1,
0x1.ffffcf23ff5fcp-1,
0x1.ffffd1c637b2bp-1,
0x1.ffffd4456a10dp-1,
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