diff options
Diffstat (limited to 'sysdeps/aarch64/fpu/erff_data.c')
| -rw-r--r-- | sysdeps/aarch64/fpu/erff_data.c | 544 |
1 files changed, 544 insertions, 0 deletions
diff --git a/sysdeps/aarch64/fpu/erff_data.c b/sysdeps/aarch64/fpu/erff_data.c new file mode 100644 index 0000000000..9a32940915 --- /dev/null +++ b/sysdeps/aarch64/fpu/erff_data.c @@ -0,0 +1,544 @@ +/* Table for Advanced SIMD erff 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 erff. + For each possible rounded input r (multiples of 1/128), between + r = 0.0 and r = 4.0 (513 values): + - the first entry __erff_data.tab.erf contains the values of erf(r), + - the second entry __erff_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 erff_data __erff_data = { + .tab = { { 0x0.000000p+0, 0x1.20dd76p+0 }, + { 0x1.20dbf4p-7, 0x1.20d8f2p+0 }, + { 0x1.20d770p-6, 0x1.20cb68p+0 }, + { 0x1.b137e0p-6, 0x1.20b4d8p+0 }, + { 0x1.20c564p-5, 0x1.209546p+0 }, + { 0x1.68e5d4p-5, 0x1.206cb4p+0 }, + { 0x1.b0fafep-5, 0x1.203b26p+0 }, + { 0x1.f902a8p-5, 0x1.2000a0p+0 }, + { 0x1.207d48p-4, 0x1.1fbd28p+0 }, + { 0x1.44703ep-4, 0x1.1f70c4p+0 }, + { 0x1.68591ap-4, 0x1.1f1b7ap+0 }, + { 0x1.8c36bep-4, 0x1.1ebd56p+0 }, + { 0x1.b00812p-4, 0x1.1e565cp+0 }, + { 0x1.d3cbf8p-4, 0x1.1de698p+0 }, + { 0x1.f7815ap-4, 0x1.1d6e14p+0 }, + { 0x1.0d9390p-3, 0x1.1cecdcp+0 }, + { 0x1.1f5e1ap-3, 0x1.1c62fap+0 }, + { 0x1.311fc2p-3, 0x1.1bd07cp+0 }, + { 0x1.42d7fcp-3, 0x1.1b3572p+0 }, + { 0x1.548642p-3, 0x1.1a91e6p+0 }, + { 0x1.662a0cp-3, 0x1.19e5eap+0 }, + { 0x1.77c2d2p-3, 0x1.19318cp+0 }, + { 0x1.895010p-3, 0x1.1874dep+0 }, + { 0x1.9ad142p-3, 0x1.17aff0p+0 }, + { 0x1.ac45e4p-3, 0x1.16e2d8p+0 }, + { 0x1.bdad72p-3, 0x1.160da4p+0 }, + { 0x1.cf076ep-3, 0x1.153068p+0 }, + { 0x1.e05354p-3, 0x1.144b3cp+0 }, + { 0x1.f190aap-3, 0x1.135e30p+0 }, + { 0x1.015f78p-2, 0x1.12695ep+0 }, + { 0x1.09eed6p-2, 0x1.116cd8p+0 }, + { 0x1.127632p-2, 0x1.1068bap+0 }, + { 0x1.1af54ep-2, 0x1.0f5d16p+0 }, + { 0x1.236bf0p-2, 0x1.0e4a08p+0 }, + { 0x1.2bd9dcp-2, 0x1.0d2fa6p+0 }, + { 0x1.343ed6p-2, 0x1.0c0e0ap+0 }, + { 0x1.3c9aa8p-2, 0x1.0ae550p+0 }, + { 0x1.44ed18p-2, 0x1.09b590p+0 }, + { 0x1.4d35f0p-2, 0x1.087ee4p+0 }, + { 0x1.5574f4p-2, 0x1.07416cp+0 }, + { 0x1.5da9f4p-2, 0x1.05fd3ep+0 }, + { 0x1.65d4b8p-2, 0x1.04b27cp+0 }, + { 0x1.6df50ap-2, 0x1.036140p+0 }, + { 0x1.760abap-2, 0x1.0209a6p+0 }, + { 0x1.7e1594p-2, 0x1.00abd0p+0 }, + { 0x1.861566p-2, 0x1.fe8fb0p-1 }, + { 0x1.8e0a02p-2, 0x1.fbbbbep-1 }, + { 0x1.95f336p-2, 0x1.f8dc0ap-1 }, + { 0x1.9dd0d2p-2, 0x1.f5f0cep-1 }, + { 0x1.a5a2acp-2, 0x1.f2fa4cp-1 }, + { 0x1.ad6896p-2, 0x1.eff8c4p-1 }, + { 0x1.b52264p-2, 0x1.ecec78p-1 }, + { 0x1.bccfecp-2, 0x1.e9d5a8p-1 }, + { 0x1.c47104p-2, 0x1.e6b498p-1 }, + { 0x1.cc0584p-2, 0x1.e38988p-1 }, + { 0x1.d38d44p-2, 0x1.e054bep-1 }, + { 0x1.db081cp-2, 0x1.dd167cp-1 }, + { 0x1.e275eap-2, 0x1.d9cf06p-1 }, + { 0x1.e9d68ap-2, 0x1.d67ea2p-1 }, + { 0x1.f129d4p-2, 0x1.d32592p-1 }, + { 0x1.f86faap-2, 0x1.cfc41ep-1 }, + { 0x1.ffa7eap-2, 0x1.cc5a8ap-1 }, + { 0x1.03693ap-1, 0x1.c8e91cp-1 }, + { 0x1.06f794p-1, 0x1.c5701ap-1 }, + { 0x1.0a7ef6p-1, 0x1.c1efcap-1 }, + { 0x1.0dff50p-1, 0x1.be6872p-1 }, + { 0x1.117894p-1, 0x1.bada5ap-1 }, + { 0x1.14eab4p-1, 0x1.b745c6p-1 }, + { 0x1.1855a6p-1, 0x1.b3aafcp-1 }, + { 0x1.1bb95cp-1, 0x1.b00a46p-1 }, + { 0x1.1f15ccp-1, 0x1.ac63e8p-1 }, + { 0x1.226ae8p-1, 0x1.a8b828p-1 }, + { 0x1.25b8a8p-1, 0x1.a5074ep-1 }, + { 0x1.28ff02p-1, 0x1.a1519ep-1 }, + { 0x1.2c3decp-1, 0x1.9d9762p-1 }, + { 0x1.2f755cp-1, 0x1.99d8dap-1 }, + { 0x1.32a54cp-1, 0x1.961650p-1 }, + { 0x1.35cdb4p-1, 0x1.925008p-1 }, + { 0x1.38ee8ap-1, 0x1.8e8646p-1 }, + { 0x1.3c07cap-1, 0x1.8ab950p-1 }, + { 0x1.3f196ep-1, 0x1.86e96ap-1 }, + { 0x1.42236ep-1, 0x1.8316d6p-1 }, + { 0x1.4525c8p-1, 0x1.7f41dcp-1 }, + { 0x1.482074p-1, 0x1.7b6abcp-1 }, + { 0x1.4b1372p-1, 0x1.7791b8p-1 }, + { 0x1.4dfebap-1, 0x1.73b714p-1 }, + { 0x1.50e24cp-1, 0x1.6fdb12p-1 }, + { 0x1.53be26p-1, 0x1.6bfdf0p-1 }, + { 0x1.569244p-1, 0x1.681ff2p-1 }, + { 0x1.595ea6p-1, 0x1.644156p-1 }, + { 0x1.5c2348p-1, 0x1.60625cp-1 }, + { 0x1.5ee02ep-1, 0x1.5c8342p-1 }, + { 0x1.619556p-1, 0x1.58a446p-1 }, + { 0x1.6442c0p-1, 0x1.54c5a6p-1 }, + { 0x1.66e86ep-1, 0x1.50e79ep-1 }, + { 0x1.69865ep-1, 0x1.4d0a68p-1 }, + { 0x1.6c1c98p-1, 0x1.492e42p-1 }, + { 0x1.6eab18p-1, 0x1.455366p-1 }, + { 0x1.7131e6p-1, 0x1.417a0cp-1 }, + { 0x1.73b102p-1, 0x1.3da26ep-1 }, + { 0x1.762870p-1, 0x1.39ccc2p-1 }, + { 0x1.789836p-1, 0x1.35f940p-1 }, + { 0x1.7b0058p-1, 0x1.32281ep-1 }, + { 0x1.7d60d8p-1, 0x1.2e5992p-1 }, + { 0x1.7fb9c0p-1, 0x1.2a8dcep-1 }, + { 0x1.820b12p-1, 0x1.26c508p-1 }, + { 0x1.8454d6p-1, 0x1.22ff72p-1 }, + { 0x1.869712p-1, 0x1.1f3d3cp-1 }, + { 0x1.88d1cep-1, 0x1.1b7e98p-1 }, + { 0x1.8b050ep-1, 0x1.17c3b6p-1 }, + { 0x1.8d30dep-1, 0x1.140cc4p-1 }, + { 0x1.8f5544p-1, 0x1.1059eep-1 }, + { 0x1.91724ap-1, 0x1.0cab62p-1 }, + { 0x1.9387f6p-1, 0x1.09014cp-1 }, + { 0x1.959652p-1, 0x1.055bd6p-1 }, + { 0x1.979d68p-1, 0x1.01bb2cp-1 }, + { 0x1.999d42p-1, 0x1.fc3ee6p-2 }, + { 0x1.9b95e8p-1, 0x1.f511aap-2 }, + { 0x1.9d8768p-1, 0x1.edeeeep-2 }, + { 0x1.9f71cap-1, 0x1.e6d700p-2 }, + { 0x1.a1551ap-1, 0x1.dfca26p-2 }, + { 0x1.a33162p-1, 0x1.d8c8aap-2 }, + { 0x1.a506b0p-1, 0x1.d1d2d0p-2 }, + { 0x1.a6d50cp-1, 0x1.cae8dap-2 }, + { 0x1.a89c86p-1, 0x1.c40b08p-2 }, + { 0x1.aa5d26p-1, 0x1.bd3998p-2 }, + { 0x1.ac16fcp-1, 0x1.b674c8p-2 }, + { 0x1.adca14p-1, 0x1.afbcd4p-2 }, + { 0x1.af767ap-1, 0x1.a911f0p-2 }, + { 0x1.b11c3cp-1, 0x1.a27456p-2 }, + { 0x1.b2bb68p-1, 0x1.9be438p-2 }, + { 0x1.b4540ap-1, 0x1.9561c8p-2 }, + { 0x1.b5e630p-1, 0x1.8eed36p-2 }, + { 0x1.b771e8p-1, 0x1.8886b2p-2 }, + { 0x1.b8f742p-1, 0x1.822e66p-2 }, + { 0x1.ba764ap-1, 0x1.7be47ap-2 }, + { 0x1.bbef10p-1, 0x1.75a91ap-2 }, + { 0x1.bd61a2p-1, 0x1.6f7c6ap-2 }, + { 0x1.bece0ep-1, 0x1.695e8cp-2 }, + { 0x1.c03464p-1, 0x1.634fa6p-2 }, + { 0x1.c194b2p-1, 0x1.5d4fd4p-2 }, + { 0x1.c2ef08p-1, 0x1.575f34p-2 }, + { 0x1.c44376p-1, 0x1.517de6p-2 }, + { 0x1.c5920ap-1, 0x1.4bac00p-2 }, + { 0x1.c6dad2p-1, 0x1.45e99cp-2 }, + { 0x1.c81de2p-1, 0x1.4036d0p-2 }, + { 0x1.c95b46p-1, 0x1.3a93b2p-2 }, + { 0x1.ca930ep-1, 0x1.350052p-2 }, + { 0x1.cbc54cp-1, 0x1.2f7cc4p-2 }, + { 0x1.ccf20cp-1, 0x1.2a0916p-2 }, + { 0x1.ce1962p-1, 0x1.24a554p-2 }, + { 0x1.cf3b5cp-1, 0x1.1f518ap-2 }, + { 0x1.d0580cp-1, 0x1.1a0dc6p-2 }, + { 0x1.d16f7ep-1, 0x1.14da0ap-2 }, + { 0x1.d281c4p-1, 0x1.0fb662p-2 }, + { 0x1.d38ef0p-1, 0x1.0aa2d0p-2 }, + { 0x1.d49710p-1, 0x1.059f5ap-2 }, + { 0x1.d59a34p-1, 0x1.00ac00p-2 }, + { 0x1.d6986cp-1, 0x1.f79184p-3 }, + { 0x1.d791cap-1, 0x1.edeb40p-3 }, + { 0x1.d8865ep-1, 0x1.e46530p-3 }, + { 0x1.d97636p-1, 0x1.daff4ap-3 }, + { 0x1.da6162p-1, 0x1.d1b982p-3 }, + { 0x1.db47f4p-1, 0x1.c893cep-3 }, + { 0x1.dc29fcp-1, 0x1.bf8e1cp-3 }, + { 0x1.dd0788p-1, 0x1.b6a856p-3 }, + { 0x1.dde0aap-1, 0x1.ade26cp-3 }, + { 0x1.deb570p-1, 0x1.a53c42p-3 }, + { 0x1.df85eap-1, 0x1.9cb5bep-3 }, + { 0x1.e0522ap-1, 0x1.944ec2p-3 }, + { 0x1.e11a3ep-1, 0x1.8c0732p-3 }, + { 0x1.e1de36p-1, 0x1.83deeap-3 }, + { 0x1.e29e22p-1, 0x1.7bd5c8p-3 }, + { 0x1.e35a12p-1, 0x1.73eba4p-3 }, + { 0x1.e41214p-1, 0x1.6c2056p-3 }, + { 0x1.e4c638p-1, 0x1.6473b6p-3 }, + { 0x1.e5768cp-1, 0x1.5ce596p-3 }, + { 0x1.e62322p-1, 0x1.5575c8p-3 }, + { 0x1.e6cc08p-1, 0x1.4e241ep-3 }, + { 0x1.e7714ap-1, 0x1.46f066p-3 }, + { 0x1.e812fcp-1, 0x1.3fda6cp-3 }, + { 0x1.e8b12ap-1, 0x1.38e1fap-3 }, + { 0x1.e94be4p-1, 0x1.3206dcp-3 }, + { 0x1.e9e336p-1, 0x1.2b48dap-3 }, + { 0x1.ea7730p-1, 0x1.24a7b8p-3 }, + { 0x1.eb07e2p-1, 0x1.1e233ep-3 }, + { 0x1.eb9558p-1, 0x1.17bb2cp-3 }, + { 0x1.ec1fa2p-1, 0x1.116f48p-3 }, + { 0x1.eca6ccp-1, 0x1.0b3f52p-3 }, + { 0x1.ed2ae6p-1, 0x1.052b0cp-3 }, + { 0x1.edabfcp-1, 0x1.fe6460p-4 }, + { 0x1.ee2a1ep-1, 0x1.f2a902p-4 }, + { 0x1.eea556p-1, 0x1.e72372p-4 }, + { 0x1.ef1db4p-1, 0x1.dbd32ap-4 }, + { 0x1.ef9344p-1, 0x1.d0b7a0p-4 }, + { 0x1.f00614p-1, 0x1.c5d04ap-4 }, + { 0x1.f07630p-1, 0x1.bb1c98p-4 }, + { 0x1.f0e3a6p-1, 0x1.b09bfcp-4 }, + { 0x1.f14e82p-1, 0x1.a64de6p-4 }, + { 0x1.f1b6d0p-1, 0x1.9c31c6p-4 }, + { 0x1.f21ca0p-1, 0x1.92470ap-4 }, + { 0x1.f27ff8p-1, 0x1.888d1ep-4 }, + { 0x1.f2e0eap-1, 0x1.7f036cp-4 }, + { 0x1.f33f7ep-1, 0x1.75a960p-4 }, + { 0x1.f39bc2p-1, 0x1.6c7e64p-4 }, + { 0x1.f3f5c2p-1, 0x1.6381e2p-4 }, + { 0x1.f44d88p-1, 0x1.5ab342p-4 }, + { 0x1.f4a31ep-1, 0x1.5211ecp-4 }, + { 0x1.f4f694p-1, 0x1.499d48p-4 }, + { 0x1.f547f2p-1, 0x1.4154bcp-4 }, + { 0x1.f59742p-1, 0x1.3937b2p-4 }, + { 0x1.f5e490p-1, 0x1.31458ep-4 }, + { 0x1.f62fe8p-1, 0x1.297dbap-4 }, + { 0x1.f67952p-1, 0x1.21df9ap-4 }, + { 0x1.f6c0dcp-1, 0x1.1a6a96p-4 }, + { 0x1.f7068cp-1, 0x1.131e14p-4 }, + { 0x1.f74a6ep-1, 0x1.0bf97ep-4 }, + { 0x1.f78c8cp-1, 0x1.04fc3ap-4 }, + { 0x1.f7cceep-1, 0x1.fc4b5ep-5 }, + { 0x1.f80ba2p-1, 0x1.eeea8cp-5 }, + { 0x1.f848acp-1, 0x1.e1d4d0p-5 }, + { 0x1.f8841ap-1, 0x1.d508fap-5 }, + { 0x1.f8bdf2p-1, 0x1.c885e0p-5 }, + { 0x1.f8f63ep-1, 0x1.bc4a54p-5 }, + { 0x1.f92d08p-1, 0x1.b05530p-5 }, + { 0x1.f96256p-1, 0x1.a4a54ap-5 }, + { 0x1.f99634p-1, 0x1.99397ap-5 }, + { 0x1.f9c8a8p-1, 0x1.8e109cp-5 }, + { 0x1.f9f9bap-1, 0x1.83298ep-5 }, + { 0x1.fa2974p-1, 0x1.78832cp-5 }, + { 0x1.fa57dep-1, 0x1.6e1c58p-5 }, + { 0x1.fa84fep-1, 0x1.63f3f6p-5 }, + { 0x1.fab0dep-1, 0x1.5a08e8p-5 }, + { 0x1.fadb84p-1, 0x1.505a18p-5 }, + { 0x1.fb04f6p-1, 0x1.46e66cp-5 }, + { 0x1.fb2d40p-1, 0x1.3dacd2p-5 }, + { 0x1.fb5464p-1, 0x1.34ac36p-5 }, + { 0x1.fb7a6cp-1, 0x1.2be38cp-5 }, + { 0x1.fb9f60p-1, 0x1.2351c2p-5 }, + { 0x1.fbc344p-1, 0x1.1af5d2p-5 }, + { 0x1.fbe61ep-1, 0x1.12ceb4p-5 }, + { 0x1.fc07fap-1, 0x1.0adb60p-5 }, + { 0x1.fc28d8p-1, 0x1.031ad6p-5 }, + { 0x1.fc48c2p-1, 0x1.f7182ap-6 }, + { 0x1.fc67bcp-1, 0x1.e85c44p-6 }, + { 0x1.fc85d0p-1, 0x1.da0006p-6 }, + { 0x1.fca2fep-1, 0x1.cc0180p-6 }, + { 0x1.fcbf52p-1, 0x1.be5ecep-6 }, + { 0x1.fcdaccp-1, 0x1.b1160ap-6 }, + { 0x1.fcf576p-1, 0x1.a4255ap-6 }, + { 0x1.fd0f54p-1, 0x1.978ae8p-6 }, + { 0x1.fd286ap-1, 0x1.8b44e6p-6 }, + { 0x1.fd40bep-1, 0x1.7f5188p-6 }, + { 0x1.fd5856p-1, 0x1.73af0cp-6 }, + { 0x1.fd6f34p-1, 0x1.685bb6p-6 }, + { 0x1.fd8562p-1, 0x1.5d55ccp-6 }, + { 0x1.fd9ae2p-1, 0x1.529b9ep-6 }, + { 0x1.fdafb8p-1, 0x1.482b84p-6 }, + { 0x1.fdc3e8p-1, 0x1.3e03d8p-6 }, + { 0x1.fdd77ap-1, 0x1.3422fep-6 }, + { 0x1.fdea6ep-1, 0x1.2a875cp-6 }, + { 0x1.fdfcccp-1, 0x1.212f62p-6 }, + { 0x1.fe0e96p-1, 0x1.181984p-6 }, + { 0x1.fe1fd0p-1, 0x1.0f443ep-6 }, + { 0x1.fe3080p-1, 0x1.06ae14p-6 }, + { 0x1.fe40a6p-1, 0x1.fcab14p-7 }, + { 0x1.fe504cp-1, 0x1.ec7262p-7 }, + { 0x1.fe5f70p-1, 0x1.dcaf36p-7 }, + { 0x1.fe6e18p-1, 0x1.cd5ecap-7 }, + { 0x1.fe7c46p-1, 0x1.be7e5ap-7 }, + { 0x1.fe8a00p-1, 0x1.b00b38p-7 }, + { 0x1.fe9748p-1, 0x1.a202bep-7 }, + { 0x1.fea422p-1, 0x1.94624ep-7 }, + { 0x1.feb090p-1, 0x1.87275ep-7 }, + { 0x1.febc96p-1, 0x1.7a4f6ap-7 }, + { 0x1.fec836p-1, 0x1.6dd7fep-7 }, + { 0x1.fed374p-1, 0x1.61beaep-7 }, + { 0x1.fede52p-1, 0x1.56011cp-7 }, + { 0x1.fee8d4p-1, 0x1.4a9cf6p-7 }, + { 0x1.fef2fep-1, 0x1.3f8ff6p-7 }, + { 0x1.fefccep-1, 0x1.34d7dcp-7 }, + { 0x1.ff064cp-1, 0x1.2a727ap-7 }, + { 0x1.ff0f76p-1, 0x1.205dacp-7 }, + { 0x1.ff1852p-1, 0x1.169756p-7 }, + { 0x1.ff20e0p-1, 0x1.0d1d6ap-7 }, + { 0x1.ff2924p-1, 0x1.03ede2p-7 }, + { 0x1.ff3120p-1, 0x1.f60d8ap-8 }, + { 0x1.ff38d6p-1, 0x1.e4cc4ap-8 }, + { 0x1.ff4048p-1, 0x1.d4143ap-8 }, + { 0x1.ff4778p-1, 0x1.c3e1a6p-8 }, + { 0x1.ff4e68p-1, 0x1.b430ecp-8 }, + { 0x1.ff551ap-1, 0x1.a4fe84p-8 }, + { 0x1.ff5b90p-1, 0x1.9646f4p-8 }, + { 0x1.ff61ccp-1, 0x1.8806d8p-8 }, + { 0x1.ff67d0p-1, 0x1.7a3adep-8 }, + { 0x1.ff6d9ep-1, 0x1.6cdfccp-8 }, + { 0x1.ff7338p-1, 0x1.5ff276p-8 }, + { 0x1.ff789ep-1, 0x1.536fc2p-8 }, + { 0x1.ff7dd4p-1, 0x1.4754acp-8 }, + { 0x1.ff82dap-1, 0x1.3b9e40p-8 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