glibc/sysdeps/aarch64/fpu/erfcf_data.c
Joe Ramsay 87cb1dfcd6 aarch64/fpu: Add vector variants of erfc
Reviewed-by: Szabolcs Nagy <szabolcs.nagy@arm.com>
2024-04-04 10:33:24 +01:00

677 lines
26 KiB
C

/* Table for Advanced SIMD erfcf
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 erfcf.
For each possible rounded input r (multiples of 1/64), between
r = 0.0 and r = 10.0625 (645 values):
- the first entry __erfcf_data.tab.erfc contains the values of erfc(r),
- the second entry __erfcf_data.tab.scale contains the values of
2/sqrt(pi)*exp(-r^2). Both values may go into subnormal range, therefore
they are scaled by a large enough value 2^47 (fits in 8 bits). */
const struct erfcf_data __erfcf_data = {
.tab = { { 0x1p47, 0x1.20dd76p47 },
{ 0x1.f6f944p46, 0x1.20cb68p47 },
{ 0x1.edf3aap46, 0x1.209546p47 },
{ 0x1.e4f05p46, 0x1.203b26p47 },
{ 0x1.dbf056p46, 0x1.1fbd28p47 },
{ 0x1.d2f4dcp46, 0x1.1f1b7ap47 },
{ 0x1.c9fefep46, 0x1.1e565cp47 },
{ 0x1.c10fd4p46, 0x1.1d6e14p47 },
{ 0x1.b8287ap46, 0x1.1c62fap47 },
{ 0x1.af4ap46, 0x1.1b3572p47 },
{ 0x1.a6757ep46, 0x1.19e5eap47 },
{ 0x1.9dabfcp46, 0x1.1874dep47 },
{ 0x1.94ee88p46, 0x1.16e2d8p47 },
{ 0x1.8c3e24p46, 0x1.153068p47 },
{ 0x1.839bd6p46, 0x1.135e3p47 },
{ 0x1.7b0894p46, 0x1.116cd8p47 },
{ 0x1.728558p46, 0x1.0f5d16p47 },
{ 0x1.6a1312p46, 0x1.0d2fa6p47 },
{ 0x1.61b2acp46, 0x1.0ae55p47 },
{ 0x1.596508p46, 0x1.087ee4p47 },
{ 0x1.512b06p46, 0x1.05fd3ep47 },
{ 0x1.49057ap46, 0x1.03614p47 },
{ 0x1.40f536p46, 0x1.00abdp47 },
{ 0x1.38fbp46, 0x1.fbbbbep46 },
{ 0x1.311796p46, 0x1.f5f0cep46 },
{ 0x1.294bb4p46, 0x1.eff8c4p46 },
{ 0x1.21980ap46, 0x1.e9d5a8p46 },
{ 0x1.19fd3ep46, 0x1.e38988p46 },
{ 0x1.127bf2p46, 0x1.dd167cp46 },
{ 0x1.0b14bcp46, 0x1.d67ea2p46 },
{ 0x1.03c82ap46, 0x1.cfc41ep46 },
{ 0x1.f92d8cp45, 0x1.c8e91cp46 },
{ 0x1.eb0214p45, 0x1.c1efcap46 },
{ 0x1.dd0edap45, 0x1.bada5ap46 },
{ 0x1.cf54b4p45, 0x1.b3aafcp46 },
{ 0x1.c1d46ap45, 0x1.ac63e8p46 },
{ 0x1.b48eaep45, 0x1.a5074ep46 },
{ 0x1.a78428p45, 0x1.9d9762p46 },
{ 0x1.9ab566p45, 0x1.96165p46 },
{ 0x1.8e22eap45, 0x1.8e8646p46 },
{ 0x1.81cd24p45, 0x1.86e96ap46 },
{ 0x1.75b47p45, 0x1.7f41dcp46 },
{ 0x1.69d91ep45, 0x1.7791b8p46 },
{ 0x1.5e3b66p45, 0x1.6fdb12p46 },
{ 0x1.52db78p45, 0x1.681ff2p46 },
{ 0x1.47b96ep45, 0x1.60625cp46 },
{ 0x1.3cd554p45, 0x1.58a446p46 },
{ 0x1.322f26p45, 0x1.50e79ep46 },
{ 0x1.27c6d2p45, 0x1.492e42p46 },
{ 0x1.1d9c34p45, 0x1.417a0cp46 },
{ 0x1.13af1ep45, 0x1.39ccc2p46 },
{ 0x1.09ff5p45, 0x1.32281ep46 },
{ 0x1.008c8p45, 0x1.2a8dcep46 },
{ 0x1.eeaca8p44, 0x1.22ff72p46 },
{ 0x1.dcb8cap44, 0x1.1b7e98p46 },
{ 0x1.cb3c86p44, 0x1.140cc4p46 },
{ 0x1.ba36dap44, 0x1.0cab62p46 },
{ 0x1.a9a6bap44, 0x1.055bd6p46 },
{ 0x1.998afap44, 0x1.fc3ee6p45 },
{ 0x1.89e25ep44, 0x1.edeeeep45 },
{ 0x1.7aab98p44, 0x1.dfca26p45 },
{ 0x1.6be542p44, 0x1.d1d2dp45 },
{ 0x1.5d8decp44, 0x1.c40b08p45 },
{ 0x1.4fa40ep44, 0x1.b674c8p45 },
{ 0x1.422616p44, 0x1.a911fp45 },
{ 0x1.351262p44, 0x1.9be438p45 },
{ 0x1.28674p44, 0x1.8eed36p45 },
{ 0x1.1c22f8p44, 0x1.822e66p45 },
{ 0x1.1043c2p44, 0x1.75a91ap45 },
{ 0x1.04c7cap44, 0x1.695e8cp45 },
{ 0x1.f35a72p43, 0x1.5d4fd4p45 },
{ 0x1.dde456p43, 0x1.517de6p45 },
{ 0x1.c9296cp43, 0x1.45e99cp45 },
{ 0x1.b525d6p43, 0x1.3a93b2p45 },
{ 0x1.a1d5a6p43, 0x1.2f7cc4p45 },
{ 0x1.8f34eap43, 0x1.24a554p45 },
{ 0x1.7d3fa6p43, 0x1.1a0dc6p45 },
{ 0x1.6bf1dcp43, 0x1.0fb662p45 },
{ 0x1.5b4784p43, 0x1.059f5ap45 },
{ 0x1.4b3c98p43, 0x1.f79184p44 },
{ 0x1.3bcd14p43, 0x1.e4653p44 },
{ 0x1.2cf4eep43, 0x1.d1b982p44 },
{ 0x1.1eb024p43, 0x1.bf8e1cp44 },
{ 0x1.10fab8p43, 0x1.ade26cp44 },
{ 0x1.03d0acp43, 0x1.9cb5bep44 },
{ 0x1.ee5c18p42, 0x1.8c0732p44 },
{ 0x1.d61dd6p42, 0x1.7bd5c8p44 },
{ 0x1.bedec8p42, 0x1.6c2056p44 },
{ 0x1.a8973cp42, 0x1.5ce596p44 },
{ 0x1.933f9p42, 0x1.4e241ep44 },
{ 0x1.7ed03ap42, 0x1.3fda6cp44 },
{ 0x1.6b41ccp42, 0x1.3206dcp44 },
{ 0x1.588cf2p42, 0x1.24a7b8p44 },
{ 0x1.46aa72p42, 0x1.17bb2cp44 },
{ 0x1.359332p42, 0x1.0b3f52p44 },
{ 0x1.254038p42, 0x1.fe646p43 },
{ 0x1.15aaa8p42, 0x1.e72372p43 },
{ 0x1.06cbcap42, 0x1.d0b7ap43 },
{ 0x1.f13a04p41, 0x1.bb1c98p43 },
{ 0x1.d62fbep41, 0x1.a64de6p43 },
{ 0x1.bc6c1ep41, 0x1.92470ap43 },
{ 0x1.a3e2ccp41, 0x1.7f036cp43 },
{ 0x1.8c87b8p41, 0x1.6c7e64p43 },
{ 0x1.764f2p41, 0x1.5ab342p43 },
{ 0x1.612d8ap41, 0x1.499d48p43 },
{ 0x1.4d17cap41, 0x1.3937b2p43 },
{ 0x1.3a03p41, 0x1.297dbap43 },
{ 0x1.27e498p41, 0x1.1a6a96p43 },
{ 0x1.16b24cp41, 0x1.0bf97ep43 },
{ 0x1.066222p41, 0x1.fc4b5ep42 },
{ 0x1.edd4d2p40, 0x1.e1d4dp42 },
{ 0x1.d08382p40, 0x1.c885ep42 },
{ 0x1.b4be2p40, 0x1.b0553p42 },
{ 0x1.9a7316p40, 0x1.99397ap42 },
{ 0x1.81915cp40, 0x1.83298ep42 },
{ 0x1.6a088p40, 0x1.6e1c58p42 },
{ 0x1.53c89ep40, 0x1.5a08e8p42 },
{ 0x1.3ec25ep40, 0x1.46e66cp42 },
{ 0x1.2ae6fap40, 0x1.34ac36p42 },
{ 0x1.18282ep40, 0x1.2351c2p42 },
{ 0x1.067844p40, 0x1.12ceb4p42 },
{ 0x1.eb940ep39, 0x1.031ad6p42 },
{ 0x1.cc2186p39, 0x1.e85c44p41 },
{ 0x1.ae808cp39, 0x1.cc018p41 },
{ 0x1.9299bp39, 0x1.b1160ap41 },
{ 0x1.785674p39, 0x1.978ae8p41 },
{ 0x1.5fa14ap39, 0x1.7f5188p41 },
{ 0x1.486586p39, 0x1.685bb6p41 },
{ 0x1.328f5ep39, 0x1.529b9ep41 },
{ 0x1.1e0be6p39, 0x1.3e03d8p41 },
{ 0x1.0ac8fcp39, 0x1.2a875cp41 },
{ 0x1.f16aaep38, 0x1.181984p41 },
{ 0x1.cf80d4p38, 0x1.06ae14p41 },
{ 0x1.afb4e2p38, 0x1.ec7262p40 },
{ 0x1.91e8bep38, 0x1.cd5ecap40 },
{ 0x1.75ffb4p38, 0x1.b00b38p40 },
{ 0x1.5bde72p38, 0x1.94624ep40 },
{ 0x1.436af4p38, 0x1.7a4f6ap40 },
{ 0x1.2c8c7ap38, 0x1.61beaep40 },
{ 0x1.172b7ap38, 0x1.4a9cf6p40 },
{ 0x1.033198p38, 0x1.34d7dcp40 },
{ 0x1.e11332p37, 0x1.205dacp40 },
{ 0x1.be3ebp37, 0x1.0d1d6ap40 },
{ 0x1.9dbf72p37, 0x1.f60d8ap39 },
{ 0x1.7f714p37, 0x1.d4143ap39 },
{ 0x1.6331cap37, 0x1.b430ecp39 },
{ 0x1.48e09cp37, 0x1.9646f4p39 },
{ 0x1.305ef8p37, 0x1.7a3adep39 },
{ 0x1.198fd6p37, 0x1.5ff276p39 },
{ 0x1.0457c6p37, 0x1.4754acp39 },
{ 0x1.e139bcp36, 0x1.30499cp39 },
{ 0x1.bc8d52p36, 0x1.1aba78p39 },
{ 0x1.9a7c3p36, 0x1.06918cp39 },
{ 0x1.7adadep36, 0x1.e77448p38 },
{ 0x1.5d806ap36, 0x1.c4412cp38 },
{ 0x1.424642p36, 0x1.a36454p38 },
{ 0x1.290826p36, 0x1.84ba3p38 },
{ 0x1.11a3f8p36, 0x1.6821p38 },
{ 0x1.f7f358p35, 0x1.4d78bcp38 },
{ 0x1.cfd652p35, 0x1.34a306p38 },
{ 0x1.aab85ap35, 0x1.1d8318p38 },
{ 0x1.88647p35, 0x1.07fdb4p38 },
{ 0x1.68a8e4p35, 0x1.e7f232p37 },
{ 0x1.4b5726p35, 0x1.c2b9dp37 },
{ 0x1.30439cp35, 0x1.a02436p37 },
{ 0x1.174578p35, 0x1.8005fp37 },
{ 0x1.003692p35, 0x1.6235fcp37 },
{ 0x1.d5e678p34, 0x1.468daep37 },
{ 0x1.aeb442p34, 0x1.2ce898p37 },
{ 0x1.8a9848p34, 0x1.15246ep37 },
{ 0x1.695876p34, 0x1.fe41cep36 },
{ 0x1.4abea2p34, 0x1.d57f52p36 },
{ 0x1.2e984ep34, 0x1.afc85ep36 },
{ 0x1.14b676p34, 0x1.8ce75ep36 },
{ 0x1.f9daap33, 0x1.6caa0ep36 },
{ 0x1.ce283ap33, 0x1.4ee142p36 },
{ 0x1.a609f8p33, 0x1.3360ccp36 },
{ 0x1.81396ap33, 0x1.19ff46p36 },
{ 0x1.5f7524p33, 0x1.0295fp36 },
{ 0x1.40806ep33, 0x1.da011p35 },
{ 0x1.2422eep33, 0x1.b23a5ap35 },
{ 0x1.0a286p33, 0x1.8d986ap35 },
{ 0x1.e4c0bp32, 0x1.6be022p35 },
{ 0x1.b93bf4p32, 0x1.4cda54p35 },
{ 0x1.916f7cp32, 0x1.30539p35 },
{ 0x1.6d0e7p32, 0x1.161be4p35 },
{ 0x1.4bd1cp32, 0x1.fc0d56p34 },
{ 0x1.2d77bep32, 0x1.cfd4a6p34 },
{ 0x1.11c3bep32, 0x1.a74068p34 },
{ 0x1.f0fb86p31, 0x1.8208bcp34 },
{ 0x1.c2e43ep31, 0x1.5feadap34 },
{ 0x1.98e254p31, 0x1.40a8c2p34 },
{ 0x1.729df6p31, 0x1.2408eap34 },
{ 0x1.4fc63cp31, 0x1.09d5f8p34 },
{ 0x1.3010aap31, 0x1.e3bcf4p33 },
{ 0x1.1338b8p31, 0x1.b7e946p33 },
{ 0x1.f1fecp30, 0x1.8fdc1cp33 },
{ 0x1.c2556ap30, 0x1.6b4702p33 },
{ 0x1.970b06p30, 0x1.49e178p33 },
{ 0x1.6fbddep30, 0x1.2b6876p33 },
{ 0x1.4c144ep30, 0x1.0f9e1cp33 },
{ 0x1.2bbc1ep30, 0x1.ec929ap32 },
{ 0x1.0e69f2p30, 0x1.be6abcp32 },
{ 0x1.e7b188p29, 0x1.94637ep32 },
{ 0x1.b792bcp29, 0x1.6e2368p32 },
{ 0x1.8c03d2p29, 0x1.4b581cp32 },
{ 0x1.649b02p29, 0x1.2bb5ccp32 },
{ 0x1.40f794p29, 0x1.0ef6c4p32 },
{ 0x1.20c13p29, 0x1.e9b5e8p31 },
{ 0x1.03a72ap29, 0x1.ba4f04p31 },
{ 0x1.d2bfc6p28, 0x1.8f4cccp31 },
{ 0x1.a35068p28, 0x1.684c22p31 },
{ 0x1.7885cep28, 0x1.44f21ep31 },
{ 0x1.51f06ap28, 0x1.24eb72p31 },
{ 0x1.2f2aaap28, 0x1.07ebd2p31 },
{ 0x1.0fd816p28, 0x1.db5adp30 },
{ 0x1.e7493p27, 0x1.abe09ep30 },
{ 0x1.b48774p27, 0x1.80f43ap30 },
{ 0x1.86e006p27, 0x1.5a2aep30 },
{ 0x1.5dd4bp27, 0x1.37231p30 },
{ 0x1.38f2e8p27, 0x1.1783cep30 },
{ 0x1.17d2c6p27, 0x1.f5f7d8p29 },
{ 0x1.f42c18p26, 0x1.c282cep29 },
{ 0x1.beceb2p26, 0x1.94219cp29 },
{ 0x1.8ef2aap26, 0x1.6a5972p29 },
{ 0x1.640bf6p26, 0x1.44ba86p29 },
{ 0x1.3d9be6p26, 0x1.22df2ap29 },
{ 0x1.1b2fe4p26, 0x1.046aeap29 },
{ 0x1.f8c0c2p25, 0x1.d21398p28 },
{ 0x1.c19fa8p25, 0x1.a0df1p28 },
{ 0x1.90538cp25, 0x1.74adc8p28 },
{ 0x1.6443fep25, 0x1.4d0232p28 },
{ 0x1.3ce784p25, 0x1.296a7p28 },
{ 0x1.19c232p25, 0x1.097f62p28 },
{ 0x1.f4c8c4p24, 0x1.d9c736p27 },
{ 0x1.bcd30ep24, 0x1.a6852cp27 },
{ 0x1.8aee4cp24, 0x1.789fb8p27 },
{ 0x1.5e77b6p24, 0x1.4f8c96p27 },
{ 0x1.36dcf2p24, 0x1.2acee2p27 },
{ 0x1.139a7cp24, 0x1.09f5dp27 },
{ 0x1.e8747p23, 0x1.d9371ep26 },
{ 0x1.b0a44ap23, 0x1.a4c89ep26 },
{ 0x1.7f064ap23, 0x1.75fa8ep26 },
{ 0x1.52efep23, 0x1.4c37cp26 },
{ 0x1.2bc82ap23, 0x1.26f9ep26 },
{ 0x1.09064p23, 0x1.05c804p26 },
{ 0x1.d45f16p22, 0x1.d06ad6p25 },
{ 0x1.9dacb2p22, 0x1.9bc0ap25 },
{ 0x1.6d3126p22, 0x1.6ce1aap25 },
{ 0x1.423d14p22, 0x1.43302cp25 },
{ 0x1.1c33cep22, 0x1.1e1e86p25 },
{ 0x1.f512dep21, 0x1.fa5b5p24 },
{ 0x1.b9823cp21, 0x1.bfd756p24 },
{ 0x1.84d6fep21, 0x1.8be4f8p24 },
{ 0x1.564a92p21, 0x1.5dcd66p24 },
{ 0x1.2d2c0ap21, 0x1.34ecf8p24 },
{ 0x1.08ddd2p21, 0x1.10b148p24 },
{ 0x1.d1a75p20, 0x1.e12eep23 },
{ 0x1.99218cp20, 0x1.a854eap23 },
{ 0x1.674c6ap20, 0x1.7603bap23 },
{ 0x1.3b62b6p20, 0x1.4980ccp23 },
{ 0x1.14b54p20, 0x1.2225b2p23 },
{ 0x1.e55102p19, 0x1.febc1p22 },
{ 0x1.a964eep19, 0x1.c14b22p22 },
{ 0x1.74b17ap19, 0x1.8b0cfcp22 },
{ 0x1.465daap19, 0x1.5b2fe6p22 },
{ 0x1.1da944p19, 0x1.30f93cp22 },
{ 0x1.f3d41p18, 0x1.0bc30cp22 },
{ 0x1.b512a2p18, 0x1.d5f3a8p21 },
{ 0x1.7e03b2p18, 0x1.9c3518p21 },
{ 0x1.4dbb98p18, 0x1.6961b8p21 },
{ 0x1.236a1ap18, 0x1.3cab14p21 },
{ 0x1.fcae94p17, 0x1.155a0ap21 },
{ 0x1.bbc1ap17, 0x1.e5989p20 },
{ 0x1.82eedcp17, 0x1.a8e406p20 },
{ 0x1.5139a6p17, 0x1.7397c6p20 },
{ 0x1.25c354p17, 0x1.44d26ep20 },
{ 0x1.ff8f84p16, 0x1.1bcca4p20 },
{ 0x1.bd3474p16, 0x1.efac52p19 },
{ 0x1.834586p16, 0x1.b0a68ap19 },
{ 0x1.50b75cp16, 0x1.7974e8p19 },
{ 0x1.249ef2p16, 0x1.4924a8p19 },
{ 0x1.fc5b88p15, 0x1.1edfa4p19 },
{ 0x1.b95ceep15, 0x1.f3d218p18 },
{ 0x1.7f03bap15, 0x1.b334fap18 },
{ 0x1.4c389cp15, 0x1.7ac2d8p18 },
{ 0x1.2006aep15, 0x1.4979acp18 },
{ 0x1.f32eap14, 0x1.1e767cp18 },
{ 0x1.b05cfep14, 0x1.f1e352p17 },
{ 0x1.764f46p14, 0x1.b0778cp17 },
{ 0x1.43e56cp14, 0x1.77756ep17 },
{ 0x1.18238p14, 0x1.45ce66p17 },
{ 0x1.e45a98p13, 0x1.1a95p17 },
{ 0x1.a284ccp13, 0x1.e9f2p16 },
{ 0x1.697596p13, 0x1.a887bep16 },
{ 0x1.3807acp13, 0x1.6fab64p16 },
{ 0x1.0d3b36p13, 0x1.3e44e4p16 },
{ 0x1.d0624p12, 0x1.135f28p16 },
{ 0x1.904e0cp12, 0x1.dc479ep15 },
{ 0x1.58e72ap12, 0x1.9baed4p15 },
{ 0x1.2906ccp12, 0x1.63ac6cp15 },
{ 0x1.ff58dap11, 0x1.33225ap15 },
{ 0x1.b7f1f4p11, 0x1.0916fp15 },
{ 0x1.7a551p11, 0x1.c960cp14 },
{ 0x1.453142p11, 0x1.8a6174p14 },
{ 0x1.1761f8p11, 0x1.53e4f8p14 },
{ 0x1.dfd296p10, 0x1.24caf2p14 },
{ 0x1.9bd5fp10, 0x1.f830cp13 },
{ 0x1.61501p10, 0x1.b1e5acp13 },
{ 0x1.2ef6p10, 0x1.7538c6p13 },
{ 0x1.03a918p10, 0x1.40dfd8p13 },
{ 0x1.bce26ap9, 0x1.13bc08p13 },
{ 0x1.7cef42p9, 0x1.d9a88p12 },
{ 0x1.46056p9, 0x1.96a0b4p12 },
{ 0x1.16e3cap9, 0x1.5ce9acp12 },
{ 0x1.dcea68p8, 0x1.2b3e54p12 },
{ 0x1.97945ap8, 0x1.0085p12 },
{ 0x1.5c2828p8, 0x1.b7937ep11 },
{ 0x1.29415p8, 0x1.7872dap11 },
{ 0x1.fb58fap7, 0x1.423acp11 },
{ 0x1.b0c1a8p7, 0x1.13af5p11 },
{ 0x1.70f474p7, 0x1.d77f0cp10 },
{ 0x1.3a68a8p7, 0x1.92ff34p10 },
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{ 0x1.16a46p-102, 0x1.5e9198p-98 },
{ 0x1.96ca76p-103, 0x1.004b34p-98 },
{ 0x1.28cb2cp-103, 0x1.768f3ep-99 },
{ 0x1.b0de98p-104, 0x1.1190d2p-99 },
},
};