crmvec/crmvec-asin-tab.h at main · anun333/crmvec · GitHub

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/* copied verbatim from CORE-MATH src/binary64/asin/asin.c (MIT; see asin.c here): cr_asin's
   fast-path polynomials cc[j] for t = x^2 - j/128, and off = +-pi/2 as {hi, lo} */
static const double ASIN_CC[33][8] = {
    {                   1,                      0, 0x1.5555555555555p-3, 0x1.33333333333e4p-4,
     0x1.6db6db6d31f82p-5, 0x1.f1c71f6889397p-6, 0x1.6e874b7045b46p-6, 0x1.1f753132271e2p-6},
    {0x1.0055a27e0d033p+0, -0x1.d9ba10494c062p-54, 0x1.57c00cb5d6c4dp-3, 0x1.37881f5649a75p-4,
     0x1.759af49d494ddp-5, 0x1.002e1864dda2ep-5, 0x1.7c2d5d468cdd9p-6, 0x1.292834c025357p-6},
    {0x1.00abe0c129e1ep+0,  0x1.7ceb0ee49d42ap-57, 0x1.5a3385d5c7ba5p-3, 0x1.3bf51056f6637p-4,
     0x1.7dba76b124b37p-5, 0x1.07be4b02e94c4p-5, 0x1.8a6bb92513f01p-6, 0x1.36afd4c615aecp-6},
    {0x1.0102bcffd6acdp+0, -0x1.c2294c65d2e86p-55, 0x1.5caff17351901p-3, 0x1.407abbc04feb3p-4,
     0x1.86179b8005949p-5, 0x1.0f97520bd4e72p-5, 0x1.9950c5c89f3dfp-6, 0x1.44f2344e7b664p-6},
    {0x1.015a397cf0f1cp+0, -0x1.eebd6ccfe3ee3p-55, 0x1.5f3581be7b08bp-3, 0x1.4519ddf1ae531p-4,
     0x1.8eb4b6ee35e92p-5, 0x1.17bc85414cd46p-5, 0x1.a8e5895e3fcf9p-6, 0x1.53fafdc629400p-6},
    {0x1.01b2588811eebp+0,  0x1.7193e5d0a915fp-59, 0x1.61c46a67205d2p-3, 0x1.49d33a6eeae0bp-4,
     0x1.979438563c014p-5, 0x1.20316ae977f05p-5, 0x1.b9339afb53aa4p-6, 0x1.63d6b02c42d0ap-6},
    {0x1.020b1c7df0575p+0, -0x1.dd547e329c1e5p-55, 0x1.645ce0ab901bbp-3, 0x1.4ea79c34fc7a6p-4,
     0x1.a0b8ac08940ecp-5, 0x1.28f9babd0629bp-5, 0x1.ca452cf90a55ep-6, 0x1.7492b016730efp-6},
    {0x1.026487c8c5d71p+0, -0x1.5fd9b68dc3b6ep-54, 0x1.66ff1b67d5d70p-3, 0x1.5397d613373ebp-4,
     0x1.aa24bce3aeb4ap-5, 0x1.3219610b150acp-5, 0x1.dc251825103f1p-6, 0x1.863d5a3932532p-6},
    {0x1.02be9ce0b87cdp+0,  0x1.e5d09da2e0f04p-56, 0x1.69ab5325bc359p-3, 0x1.58a4c3097aab3p-4,
     0x1.b3db3605f46f2p-5, 0x1.3b94821742cabp-5, 0x1.eedee7da72a15p-6, 0x1.98e6179a3e9a0p-6},
    {0x1.03195e4c483f1p+0, -0x1.5db10ad66eacbp-54, 0x1.6c61c22d908f0p-3, 0x1.5dcf46ab9f2cbp-4,
     0x1.bddf049bb1f4dp-5, 0x1.456f7db6ac768p-5, 0x1.013f738bd7bb3p-5, 0x1.ac9d739783d21p-6},
    {0x1.0374cea0c0c9fp+0, -0x1.917bff5241c76p-54, 0x1.6f22a497b2ec0p-3, 0x1.63184d8a79db5p-4,
     0x1.c83339caf946ep-5, 0x1.4faef331019d4p-5, 0x1.0b8917547d678p-5, 0x1.c17533f147e1cp-6},
    {0x1.03d0f082afcc8p+0, -0x1.018bbcddb49ebp-54, 0x1.71ee385efdf06p-3, 0x1.6880cda2d3885p-4,
     0x1.d2db0cbfae54dp-5, 0x1.5a57c56b50c5ep-5, 0x1.16535a40098b2p-5, 0x1.d780730b8ebb8p-6},
    {0x1.042dc6a65ffbfp+0, -0x1.c7ea28dce95d1p-55, 0x1.74c4bd7412f9ep-3, 0x1.6e09c6d2b72bcp-4,
     0x1.ddd9dcda253dep-5, 0x1.656f1f62b5001p-5, 0x1.21a5ae2ac77eep-5, 0x1.eed3bca067f0ep-6},
    {0x1.048b53d05907bp+0,  0x1.634fffed6e2a6p-54, 0x1.77a675d1978bep-3, 0x1.73b4435583415p-4,
     0x1.e9333402ebbf3p-5, 0x1.70fa78fd9f73fp-5, 0x1.2d8804d934fe1p-5, 0x1.03c29691a281cp-5},
    {0x1.04e99ad5e4bcdp+0, -0x1.e97a72fe827e0p-54, 0x1.7a93a5917200cp-3, 0x1.7981584731c05p-4,
     0x1.f4eac9268fae2p-5, 0x1.7cff9c3b19721p-5, 0x1.3a02d9c1e0145p-5, 0x1.10d64a0e56953p-5},
    {0x1.05489e9d99995p+0,  0x1.d177637ec6a2bp-55, 0x1.7d8c930314681p-3, 0x1.7f72262f532e4p-4,
     0x1.0082416e39013p-4, 0x1.8984aac80ddf4p-5, 0x1.471f3caf18eb8p-5, 0x1.1eb1cce6dd570p-5},
    {0x1.05a8621feb16bp+0, -0x1.e5b33b1407c5fp-56, 0x1.809186c2e57ddp-3, 0x1.8587d99442dc8p-4,
     0x1.06c23d1dfcb7fp-4, 0x1.969024036dd22p-5, 0x1.54e6dd4d2af33p-5, 0x1.2d62f439f2a31p-5},
    {0x1.0608e867bff30p+0,  0x1.cbef5d8580027p-55, 0x1.83a2cbd2d8ba2p-3, 0x1.8bc3ab9724c6ep-4,
     0x1.0d377ef1e0c39p-4, 0x1.a428eb7addf84p-5, 0x1.636417bc01ff2p-5, 0x1.3cf8acc7eb2a0p-5},
    {0x1.066a34930ec8dp+0, -0x1.480f445fedad1p-54, 0x1.86c0afb447a74p-3, 0x1.9226e29948d9cp-4,
     0x1.13e44a9b5a3a6p-4, 0x1.b2564fea8b3fep-5, 0x1.72a2023d92458p-5, 0x1.4d8313cec3485p-5},
    {0x1.06cc49d38146cp+0, -0x1.b55394f4fc07bp-55, 0x1.89eb82831feedp-3, 0x1.98b2d2eb9bb23p-4,
     0x1.1acb01e9ab414p-4, 0x1.c12012cbd00c6p-5, 0x1.82ac7c1d15c38p-5, 0x1.5f13925c6edcap-5},
    {0x1.072f2b6f1e601p+0, -0x1.2dcbb05419970p-54, 0x1.8d2397127aebbp-3, 0x1.9f68df88da51dp-4,
     0x1.21ee26a4f62a1p-4, 0x1.d08e707f7ae6fp-5, 0x1.93903dee3feb0p-5, 0x1.71bcfb5c57b59p-5},
    {0x1.0792dcc0fbd20p+0, -0x1.5bf23ee4f9d54p-56, 0x1.9069430ab508ap-3, 0x1.a64a7adb4cd85p-4,
     0x1.29505c8b48349p-4, 0x1.e0aa2921cfa60p-5, 0x1.a55aeb46f4322p-5, 0x1.8593acad3becep-5},
    {0x1.07f76139f761dp+0,  0x1.fa1046481bb82p-54, 0x1.93bcdf091cca6p-3, 0x1.ad59278edc42fp-4,
     0x1.30f46b7261652p-4, 0x1.f17c8a17c843ep-5, 0x1.b81b2619e15b5p-5, 0x1.9aadb395f5ae4p-5},
    {0x1.085cbc61783c1p+0,  0x1.0a6e9efa20176p-54, 0x1.971ec6c1531e4p-3, 0x1.b496797068912p-4,
     0x1.38dd419140184p-4, 0x1.0187bc3357bbbp-4, 0x1.cbe0a3dcafe26p-5, 0x1.b122f4fa499d0p-5},
    {0x1.08c2f1d638e4cp+0,  0x1.b47c159534a3dp-56, 0x1.9a8f592078624p-3, 0x1.bc04165b57ab2p-4,
     0x1.410df5f4bed1dp-4, 0x1.0ab6bdf478c71p-4, 0x1.e0bc44a945c64p-5, 0x1.c90d59bcd5701p-5},
    {0x1.092a054f1a2fcp+0, -0x1.2f657224e9830p-54, 0x1.9e0ef87243a2cp-3, 0x1.c3a3b7366a278p-4,
     0x1.4989cb22e2175p-4, 0x1.1450e5ba7ad39p-4, 0x1.f6c02c8f0ef93p-5, 0x1.e288ffc8d182cp-5},
    {0x1.0991fa9bffbf4p+0, -0x1.ca1140a1abbf4p-58, 0x1.a19e0a8823b80p-3, 0x1.cb772900f9c24p-4,
     0x1.525431f0cbb2ep-4, 0x1.1e5c2d06804e1p-4, 0x1.06ffefa7aa6b8p-4, 0x1.fdb4704dca347p-5},
    {0x1.09fad5a6b68f9p+0,  0x1.aa1f06e92964ep-56, 0x1.a53cf8e28c50ep-3, 0x1.d3804df1de350p-4,
     0x1.5b70cc8fa98dcp-4, 0x1.28def298c979bp-4, 0x1.13482f6347eebp-4, 0x1.0d586de48358cp-4},
    {0x1.0a649a73e61f2p+0,  0x1.74ac0d817e9c7p-55, 0x1.a8ec30dc93891p-3, 0x1.dbc11ea950625p-4,
     0x1.64e371d5616d3p-4, 0x1.33e0023936249p-4, 0x1.204426263066ap-4, 0x1.1cd12e4629723p-4},
    {0x1.0acf4d240ccc4p+0,  0x1.da890f3b40bd3p-54, 0x1.acac23da07797p-3, 0x1.e43bab7741a98p-4,
     0x1.6eb030c631819p-4, 0x1.3f669d2eb516ep-4, 0x1.2e0006ae505aep-4, 0x1.2d58204457c82p-4},
    {0x1.0b3af1f4880bbp+0,  0x1.f450fb78d32bap-56, 0x1.b07d4778263afp-3, 0x1.ecf21db7be0efp-4,
     0x1.78db5465013e4p-4, 0x1.4b7a8376f0996p-4, 0x1.3c88f9f2ef221p-4, 0x1.3f02ad9eb9753p-4},
    {0x1.0ba78d40a9260p+0, -0x1.57b07a441e242p-54, 0x1.b46015c126262p-3, 0x1.f5e6b94713f3dp-4,
     0x1.836967d0afecfp-4, 0x1.5823fdd1707b9p-4, 0x1.4bed355269dc2p-4, 0x1.51e83065121cfp-4},
    {0x1.0c152382d7366p+0, -0x1.ee6913347c2a6p-54, 0x1.b8550d62bfb6ep-3, 0x1.ff1bde0fa3cadp-4,
     0x1.8e5f3ab550989p-4, 0x1.656be8b38ebafp-4, 0x1.5c3c13008a099p-4, 0x1.662225a1b4f77p-4},
  };
static const double ASIN_OFF[2][2] = {
      {0x1.921fb54442d18p+0, 0x1.1a62633145c07p-54}, {-0x1.921fb54442d18p+0, -0x1.1a62633145c07p-54}
    };