1 /* 2 * Data used in single-precision erfc(x) function. 3 * 4 * Copyright (c) 2023, Arm Limited. 5 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 6 */ 7 8 #include "math_config.h" 9 10 /* Lookup table used in erfcf. 11 For each possible rounded input r (multiples of 1/64), between 12 r = 0.0 and r = 10.0625 (645 values): 13 - the first entry __erfcf_data.tab.erfc contains the values of erfc(r), 14 - the second entry __erfcf_data.tab.scale contains the values of 15 2/sqrt(pi)*exp(-r^2). Both values may go into subnormal range, therefore 16 they are scaled by a large enough value 2^47 (fits in 8 bits). */ 17 const struct erfcf_data __erfcf_data = { 18 .tab = { { 0x1p47, 0x1.20dd76p47 }, 19 { 0x1.f6f944p46, 0x1.20cb68p47 }, 20 { 0x1.edf3aap46, 0x1.209546p47 }, 21 { 0x1.e4f05p46, 0x1.203b26p47 }, 22 { 0x1.dbf056p46, 0x1.1fbd28p47 }, 23 { 0x1.d2f4dcp46, 0x1.1f1b7ap47 }, 24 { 0x1.c9fefep46, 0x1.1e565cp47 }, 25 { 0x1.c10fd4p46, 0x1.1d6e14p47 }, 26 { 0x1.b8287ap46, 0x1.1c62fap47 }, 27 { 0x1.af4ap46, 0x1.1b3572p47 }, 28 { 0x1.a6757ep46, 0x1.19e5eap47 }, 29 { 0x1.9dabfcp46, 0x1.1874dep47 }, 30 { 0x1.94ee88p46, 0x1.16e2d8p47 }, 31 { 0x1.8c3e24p46, 0x1.153068p47 }, 32 { 0x1.839bd6p46, 0x1.135e3p47 }, 33 { 0x1.7b0894p46, 0x1.116cd8p47 }, 34 { 0x1.728558p46, 0x1.0f5d16p47 }, 35 { 0x1.6a1312p46, 0x1.0d2fa6p47 }, 36 { 0x1.61b2acp46, 0x1.0ae55p47 }, 37 { 0x1.596508p46, 0x1.087ee4p47 }, 38 { 0x1.512b06p46, 0x1.05fd3ep47 }, 39 { 0x1.49057ap46, 0x1.03614p47 }, 40 { 0x1.40f536p46, 0x1.00abdp47 }, 41 { 0x1.38fbp46, 0x1.fbbbbep46 }, 42 { 0x1.311796p46, 0x1.f5f0cep46 }, 43 { 0x1.294bb4p46, 0x1.eff8c4p46 }, 44 { 0x1.21980ap46, 0x1.e9d5a8p46 }, 45 { 0x1.19fd3ep46, 0x1.e38988p46 }, 46 { 0x1.127bf2p46, 0x1.dd167cp46 }, 47 { 0x1.0b14bcp46, 0x1.d67ea2p46 }, 48 { 0x1.03c82ap46, 0x1.cfc41ep46 }, 49 { 0x1.f92d8cp45, 0x1.c8e91cp46 }, 50 { 0x1.eb0214p45, 0x1.c1efcap46 }, 51 { 0x1.dd0edap45, 0x1.bada5ap46 }, 52 { 0x1.cf54b4p45, 0x1.b3aafcp46 }, 53 { 0x1.c1d46ap45, 0x1.ac63e8p46 }, 54 { 0x1.b48eaep45, 0x1.a5074ep46 }, 55 { 0x1.a78428p45, 0x1.9d9762p46 }, 56 { 0x1.9ab566p45, 0x1.96165p46 }, 57 { 0x1.8e22eap45, 0x1.8e8646p46 }, 58 { 0x1.81cd24p45, 0x1.86e96ap46 }, 59 { 0x1.75b47p45, 0x1.7f41dcp46 }, 60 { 0x1.69d91ep45, 0x1.7791b8p46 }, 61 { 0x1.5e3b66p45, 0x1.6fdb12p46 }, 62 { 0x1.52db78p45, 0x1.681ff2p46 }, 63 { 0x1.47b96ep45, 0x1.60625cp46 }, 64 { 0x1.3cd554p45, 0x1.58a446p46 }, 65 { 0x1.322f26p45, 0x1.50e79ep46 }, 66 { 0x1.27c6d2p45, 0x1.492e42p46 }, 67 { 0x1.1d9c34p45, 0x1.417a0cp46 }, 68 { 0x1.13af1ep45, 0x1.39ccc2p46 }, 69 { 0x1.09ff5p45, 0x1.32281ep46 }, 70 { 0x1.008c8p45, 0x1.2a8dcep46 }, 71 { 0x1.eeaca8p44, 0x1.22ff72p46 }, 72 { 0x1.dcb8cap44, 0x1.1b7e98p46 }, 73 { 0x1.cb3c86p44, 0x1.140cc4p46 }, 74 { 0x1.ba36dap44, 0x1.0cab62p46 }, 75 { 0x1.a9a6bap44, 0x1.055bd6p46 }, 76 { 0x1.998afap44, 0x1.fc3ee6p45 }, 77 { 0x1.89e25ep44, 0x1.edeeeep45 }, 78 { 0x1.7aab98p44, 0x1.dfca26p45 }, 79 { 0x1.6be542p44, 0x1.d1d2dp45 }, 80 { 0x1.5d8decp44, 0x1.c40b08p45 }, 81 { 0x1.4fa40ep44, 0x1.b674c8p45 }, 82 { 0x1.422616p44, 0x1.a911fp45 }, 83 { 0x1.351262p44, 0x1.9be438p45 }, 84 { 0x1.28674p44, 0x1.8eed36p45 }, 85 { 0x1.1c22f8p44, 0x1.822e66p45 }, 86 { 0x1.1043c2p44, 0x1.75a91ap45 }, 87 { 0x1.04c7cap44, 0x1.695e8cp45 }, 88 { 0x1.f35a72p43, 0x1.5d4fd4p45 }, 89 { 0x1.dde456p43, 0x1.517de6p45 }, 90 { 0x1.c9296cp43, 0x1.45e99cp45 }, 91 { 0x1.b525d6p43, 0x1.3a93b2p45 }, 92 { 0x1.a1d5a6p43, 0x1.2f7cc4p45 }, 93 { 0x1.8f34eap43, 0x1.24a554p45 }, 94 { 0x1.7d3fa6p43, 0x1.1a0dc6p45 }, 95 { 0x1.6bf1dcp43, 0x1.0fb662p45 }, 96 { 0x1.5b4784p43, 0x1.059f5ap45 }, 97 { 0x1.4b3c98p43, 0x1.f79184p44 }, 98 { 0x1.3bcd14p43, 0x1.e4653p44 }, 99 { 0x1.2cf4eep43, 0x1.d1b982p44 }, 100 { 0x1.1eb024p43, 0x1.bf8e1cp44 }, 101 { 0x1.10fab8p43, 0x1.ade26cp44 }, 102 { 0x1.03d0acp43, 0x1.9cb5bep44 }, 103 { 0x1.ee5c18p42, 0x1.8c0732p44 }, 104 { 0x1.d61dd6p42, 0x1.7bd5c8p44 }, 105 { 0x1.bedec8p42, 0x1.6c2056p44 }, 106 { 0x1.a8973cp42, 0x1.5ce596p44 }, 107 { 0x1.933f9p42, 0x1.4e241ep44 }, 108 { 0x1.7ed03ap42, 0x1.3fda6cp44 }, 109 { 0x1.6b41ccp42, 0x1.3206dcp44 }, 110 { 0x1.588cf2p42, 0x1.24a7b8p44 }, 111 { 0x1.46aa72p42, 0x1.17bb2cp44 }, 112 { 0x1.359332p42, 0x1.0b3f52p44 }, 113 { 0x1.254038p42, 0x1.fe646p43 }, 114 { 0x1.15aaa8p42, 0x1.e72372p43 }, 115 { 0x1.06cbcap42, 0x1.d0b7ap43 }, 116 { 0x1.f13a04p41, 0x1.bb1c98p43 }, 117 { 0x1.d62fbep41, 0x1.a64de6p43 }, 118 { 0x1.bc6c1ep41, 0x1.92470ap43 }, 119 { 0x1.a3e2ccp41, 0x1.7f036cp43 }, 120 { 0x1.8c87b8p41, 0x1.6c7e64p43 }, 121 { 0x1.764f2p41, 0x1.5ab342p43 }, 122 { 0x1.612d8ap41, 0x1.499d48p43 }, 123 { 0x1.4d17cap41, 0x1.3937b2p43 }, 124 { 0x1.3a03p41, 0x1.297dbap43 }, 125 { 0x1.27e498p41, 0x1.1a6a96p43 }, 126 { 0x1.16b24cp41, 0x1.0bf97ep43 }, 127 { 0x1.066222p41, 0x1.fc4b5ep42 }, 128 { 0x1.edd4d2p40, 0x1.e1d4dp42 }, 129 { 0x1.d08382p40, 0x1.c885ep42 }, 130 { 0x1.b4be2p40, 0x1.b0553p42 }, 131 { 0x1.9a7316p40, 0x1.99397ap42 }, 132 { 0x1.81915cp40, 0x1.83298ep42 }, 133 { 0x1.6a088p40, 0x1.6e1c58p42 }, 134 { 0x1.53c89ep40, 0x1.5a08e8p42 }, 135 { 0x1.3ec25ep40, 0x1.46e66cp42 }, 136 { 0x1.2ae6fap40, 0x1.34ac36p42 }, 137 { 0x1.18282ep40, 0x1.2351c2p42 }, 138 { 0x1.067844p40, 0x1.12ceb4p42 }, 139 { 0x1.eb940ep39, 0x1.031ad6p42 }, 140 { 0x1.cc2186p39, 0x1.e85c44p41 }, 141 { 0x1.ae808cp39, 0x1.cc018p41 }, 142 { 0x1.9299bp39, 0x1.b1160ap41 }, 143 { 0x1.785674p39, 0x1.978ae8p41 }, 144 { 0x1.5fa14ap39, 0x1.7f5188p41 }, 145 { 0x1.486586p39, 0x1.685bb6p41 }, 146 { 0x1.328f5ep39, 0x1.529b9ep41 }, 147 { 0x1.1e0be6p39, 0x1.3e03d8p41 }, 148 { 0x1.0ac8fcp39, 0x1.2a875cp41 }, 149 { 0x1.f16aaep38, 0x1.181984p41 }, 150 { 0x1.cf80d4p38, 0x1.06ae14p41 }, 151 { 0x1.afb4e2p38, 0x1.ec7262p40 }, 152 { 0x1.91e8bep38, 0x1.cd5ecap40 }, 153 { 0x1.75ffb4p38, 0x1.b00b38p40 }, 154 { 0x1.5bde72p38, 0x1.94624ep40 }, 155 { 0x1.436af4p38, 0x1.7a4f6ap40 }, 156 { 0x1.2c8c7ap38, 0x1.61beaep40 }, 157 { 0x1.172b7ap38, 0x1.4a9cf6p40 }, 158 { 0x1.033198p38, 0x1.34d7dcp40 }, 159 { 0x1.e11332p37, 0x1.205dacp40 }, 160 { 0x1.be3ebp37, 0x1.0d1d6ap40 }, 161 { 0x1.9dbf72p37, 0x1.f60d8ap39 }, 162 { 0x1.7f714p37, 0x1.d4143ap39 }, 163 { 0x1.6331cap37, 0x1.b430ecp39 }, 164 { 0x1.48e09cp37, 0x1.9646f4p39 }, 165 { 0x1.305ef8p37, 0x1.7a3adep39 }, 166 { 0x1.198fd6p37, 0x1.5ff276p39 }, 167 { 0x1.0457c6p37, 0x1.4754acp39 }, 168 { 0x1.e139bcp36, 0x1.30499cp39 }, 169 { 0x1.bc8d52p36, 0x1.1aba78p39 }, 170 { 0x1.9a7c3p36, 0x1.06918cp39 }, 171 { 0x1.7adadep36, 0x1.e77448p38 }, 172 { 0x1.5d806ap36, 0x1.c4412cp38 }, 173 { 0x1.424642p36, 0x1.a36454p38 }, 174 { 0x1.290826p36, 0x1.84ba3p38 }, 175 { 0x1.11a3f8p36, 0x1.6821p38 }, 176 { 0x1.f7f358p35, 0x1.4d78bcp38 }, 177 { 0x1.cfd652p35, 0x1.34a306p38 }, 178 { 0x1.aab85ap35, 0x1.1d8318p38 }, 179 { 0x1.88647p35, 0x1.07fdb4p38 }, 180 { 0x1.68a8e4p35, 0x1.e7f232p37 }, 181 { 0x1.4b5726p35, 0x1.c2b9dp37 }, 182 { 0x1.30439cp35, 0x1.a02436p37 }, 183 { 0x1.174578p35, 0x1.8005fp37 }, 184 { 0x1.003692p35, 0x1.6235fcp37 }, 185 { 0x1.d5e678p34, 0x1.468daep37 }, 186 { 0x1.aeb442p34, 0x1.2ce898p37 }, 187 { 0x1.8a9848p34, 0x1.15246ep37 }, 188 { 0x1.695876p34, 0x1.fe41cep36 }, 189 { 0x1.4abea2p34, 0x1.d57f52p36 }, 190 { 0x1.2e984ep34, 0x1.afc85ep36 }, 191 { 0x1.14b676p34, 0x1.8ce75ep36 }, 192 { 0x1.f9daap33, 0x1.6caa0ep36 }, 193 { 0x1.ce283ap33, 0x1.4ee142p36 }, 194 { 0x1.a609f8p33, 0x1.3360ccp36 }, 195 { 0x1.81396ap33, 0x1.19ff46p36 }, 196 { 0x1.5f7524p33, 0x1.0295fp36 }, 197 { 0x1.40806ep33, 0x1.da011p35 }, 198 { 0x1.2422eep33, 0x1.b23a5ap35 }, 199 { 0x1.0a286p33, 0x1.8d986ap35 }, 200 { 0x1.e4c0bp32, 0x1.6be022p35 }, 201 { 0x1.b93bf4p32, 0x1.4cda54p35 }, 202 { 0x1.916f7cp32, 0x1.30539p35 }, 203 { 0x1.6d0e7p32, 0x1.161be4p35 }, 204 { 0x1.4bd1cp32, 0x1.fc0d56p34 }, 205 { 0x1.2d77bep32, 0x1.cfd4a6p34 }, 206 { 0x1.11c3bep32, 0x1.a74068p34 }, 207 { 0x1.f0fb86p31, 0x1.8208bcp34 }, 208 { 0x1.c2e43ep31, 0x1.5feadap34 }, 209 { 0x1.98e254p31, 0x1.40a8c2p34 }, 210 { 0x1.729df6p31, 0x1.2408eap34 }, 211 { 0x1.4fc63cp31, 0x1.09d5f8p34 }, 212 { 0x1.3010aap31, 0x1.e3bcf4p33 }, 213 { 0x1.1338b8p31, 0x1.b7e946p33 }, 214 { 0x1.f1fecp30, 0x1.8fdc1cp33 }, 215 { 0x1.c2556ap30, 0x1.6b4702p33 }, 216 { 0x1.970b06p30, 0x1.49e178p33 }, 217 { 0x1.6fbddep30, 0x1.2b6876p33 }, 218 { 0x1.4c144ep30, 0x1.0f9e1cp33 }, 219 { 0x1.2bbc1ep30, 0x1.ec929ap32 }, 220 { 0x1.0e69f2p30, 0x1.be6abcp32 }, 221 { 0x1.e7b188p29, 0x1.94637ep32 }, 222 { 0x1.b792bcp29, 0x1.6e2368p32 }, 223 { 0x1.8c03d2p29, 0x1.4b581cp32 }, 224 { 0x1.649b02p29, 0x1.2bb5ccp32 }, 225 { 0x1.40f794p29, 0x1.0ef6c4p32 }, 226 { 0x1.20c13p29, 0x1.e9b5e8p31 }, 227 { 0x1.03a72ap29, 0x1.ba4f04p31 }, 228 { 0x1.d2bfc6p28, 0x1.8f4cccp31 }, 229 { 0x1.a35068p28, 0x1.684c22p31 }, 230 { 0x1.7885cep28, 0x1.44f21ep31 }, 231 { 0x1.51f06ap28, 0x1.24eb72p31 }, 232 { 0x1.2f2aaap28, 0x1.07ebd2p31 }, 233 { 0x1.0fd816p28, 0x1.db5adp30 }, 234 { 0x1.e7493p27, 0x1.abe09ep30 }, 235 { 0x1.b48774p27, 0x1.80f43ap30 }, 236 { 0x1.86e006p27, 0x1.5a2aep30 }, 237 { 0x1.5dd4bp27, 0x1.37231p30 }, 238 { 0x1.38f2e8p27, 0x1.1783cep30 }, 239 { 0x1.17d2c6p27, 0x1.f5f7d8p29 }, 240 { 0x1.f42c18p26, 0x1.c282cep29 }, 241 { 0x1.beceb2p26, 0x1.94219cp29 }, 242 { 0x1.8ef2aap26, 0x1.6a5972p29 }, 243 { 0x1.640bf6p26, 0x1.44ba86p29 }, 244 { 0x1.3d9be6p26, 0x1.22df2ap29 }, 245 { 0x1.1b2fe4p26, 0x1.046aeap29 }, 246 { 0x1.f8c0c2p25, 0x1.d21398p28 }, 247 { 0x1.c19fa8p25, 0x1.a0df1p28 }, 248 { 0x1.90538cp25, 0x1.74adc8p28 }, 249 { 0x1.6443fep25, 0x1.4d0232p28 }, 250 { 0x1.3ce784p25, 0x1.296a7p28 }, 251 { 0x1.19c232p25, 0x1.097f62p28 }, 252 { 0x1.f4c8c4p24, 0x1.d9c736p27 }, 253 { 0x1.bcd30ep24, 0x1.a6852cp27 }, 254 { 0x1.8aee4cp24, 0x1.789fb8p27 }, 255 { 0x1.5e77b6p24, 0x1.4f8c96p27 }, 256 { 0x1.36dcf2p24, 0x1.2acee2p27 }, 257 { 0x1.139a7cp24, 0x1.09f5dp27 }, 258 { 0x1.e8747p23, 0x1.d9371ep26 }, 259 { 0x1.b0a44ap23, 0x1.a4c89ep26 }, 260 { 0x1.7f064ap23, 0x1.75fa8ep26 }, 261 { 0x1.52efep23, 0x1.4c37cp26 }, 262 { 0x1.2bc82ap23, 0x1.26f9ep26 }, 263 { 0x1.09064p23, 0x1.05c804p26 }, 264 { 0x1.d45f16p22, 0x1.d06ad6p25 }, 265 { 0x1.9dacb2p22, 0x1.9bc0ap25 }, 266 { 0x1.6d3126p22, 0x1.6ce1aap25 }, 267 { 0x1.423d14p22, 0x1.43302cp25 }, 268 { 0x1.1c33cep22, 0x1.1e1e86p25 }, 269 { 0x1.f512dep21, 0x1.fa5b5p24 }, 270 { 0x1.b9823cp21, 0x1.bfd756p24 }, 271 { 0x1.84d6fep21, 0x1.8be4f8p24 }, 272 { 0x1.564a92p21, 0x1.5dcd66p24 }, 273 { 0x1.2d2c0ap21, 0x1.34ecf8p24 }, 274 { 0x1.08ddd2p21, 0x1.10b148p24 }, 275 { 0x1.d1a75p20, 0x1.e12eep23 }, 276 { 0x1.99218cp20, 0x1.a854eap23 }, 277 { 0x1.674c6ap20, 0x1.7603bap23 }, 278 { 0x1.3b62b6p20, 0x1.4980ccp23 }, 279 { 0x1.14b54p20, 0x1.2225b2p23 }, 280 { 0x1.e55102p19, 0x1.febc1p22 }, 281 { 0x1.a964eep19, 0x1.c14b22p22 }, 282 { 0x1.74b17ap19, 0x1.8b0cfcp22 }, 283 { 0x1.465daap19, 0x1.5b2fe6p22 }, 284 { 0x1.1da944p19, 0x1.30f93cp22 }, 285 { 0x1.f3d41p18, 0x1.0bc30cp22 }, 286 { 0x1.b512a2p18, 0x1.d5f3a8p21 }, 287 { 0x1.7e03b2p18, 0x1.9c3518p21 }, 288 { 0x1.4dbb98p18, 0x1.6961b8p21 }, 289 { 0x1.236a1ap18, 0x1.3cab14p21 }, 290 { 0x1.fcae94p17, 0x1.155a0ap21 }, 291 { 0x1.bbc1ap17, 0x1.e5989p20 }, 292 { 0x1.82eedcp17, 0x1.a8e406p20 }, 293 { 0x1.5139a6p17, 0x1.7397c6p20 }, 294 { 0x1.25c354p17, 0x1.44d26ep20 }, 295 { 0x1.ff8f84p16, 0x1.1bcca4p20 }, 296 { 0x1.bd3474p16, 0x1.efac52p19 }, 297 { 0x1.834586p16, 0x1.b0a68ap19 }, 298 { 0x1.50b75cp16, 0x1.7974e8p19 }, 299 { 0x1.249ef2p16, 0x1.4924a8p19 }, 300 { 0x1.fc5b88p15, 0x1.1edfa4p19 }, 301 { 0x1.b95ceep15, 0x1.f3d218p18 }, 302 { 0x1.7f03bap15, 0x1.b334fap18 }, 303 { 0x1.4c389cp15, 0x1.7ac2d8p18 }, 304 { 0x1.2006aep15, 0x1.4979acp18 }, 305 { 0x1.f32eap14, 0x1.1e767cp18 }, 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