lsx 1.1.2

A pure, safe Rust implementation of the Twofish block cipher and the SHA-256 cryptographic hash function.
Documentation
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//! This module (and file) are a line-by-line translation of the equivalent
//! file from the C implementation. Comments from that file are reproduced
//! verbatim, including comments that originate from the GPG implementation
//! that informed mine; all comments not marked `-SB` originate from GPG.

/*
   Tables like these originally showed up in GPG's Twofish implementation. That
 implementation is in the public domain. I probably wouldn't have thought to
 make many of these optimizations myself, especially given my poor
 understanding of the mathematics involved. Helpfully, the original code
 included many comments detailing the origin and purpose of each table. These
 comments allowed me to produce code to generate the tables, and lead me to
 a greater understanding of the implementation than I could have gotten simply
 from blindly copying said tables (and large chunks of the associated code).
   These helpful comments are reproduced exactly in this file. I did not write
 or modify any of the comments. Some of them reference symbols, constructs,
 and implementation decisions that are in the GPG implementation but not this
 one. Caveat reader.
   I also owe a lot to the help of Nikoli Dryden, whose mathematical and
 cryptological background is far stronger than mine.
                                               -SB
*/

/* These two tables are the q0 and q1 permutations, exactly as described in
 * the Twofish paper. */

pub const Q0: [u8; 256] = [
  0xA9, 0x67, 0xB3, 0xE8, 0x04, 0xFD, 0xA3, 0x76, 
  0x9A, 0x92, 0x80, 0x78, 0xE4, 0xDD, 0xD1, 0x38, 
  0x0D, 0xC6, 0x35, 0x98, 0x18, 0xF7, 0xEC, 0x6C, 
  0x43, 0x75, 0x37, 0x26, 0xFA, 0x13, 0x94, 0x48, 
  0xF2, 0xD0, 0x8B, 0x30, 0x84, 0x54, 0xDF, 0x23, 
  0x19, 0x5B, 0x3D, 0x59, 0xF3, 0xAE, 0xA2, 0x82, 
  0x63, 0x01, 0x83, 0x2E, 0xD9, 0x51, 0x9B, 0x7C, 
  0xA6, 0xEB, 0xA5, 0xBE, 0x16, 0x0C, 0xE3, 0x61, 
  0xC0, 0x8C, 0x3A, 0xF5, 0x73, 0x2C, 0x25, 0x0B, 
  0xBB, 0x4E, 0x89, 0x6B, 0x53, 0x6A, 0xB4, 0xF1, 
  0xE1, 0xE6, 0xBD, 0x45, 0xE2, 0xF4, 0xB6, 0x66, 
  0xCC, 0x95, 0x03, 0x56, 0xD4, 0x1C, 0x1E, 0xD7, 
  0xFB, 0xC3, 0x8E, 0xB5, 0xE9, 0xCF, 0xBF, 0xBA, 
  0xEA, 0x77, 0x39, 0xAF, 0x33, 0xC9, 0x62, 0x71, 
  0x81, 0x79, 0x09, 0xAD, 0x24, 0xCD, 0xF9, 0xD8, 
  0xE5, 0xC5, 0xB9, 0x4D, 0x44, 0x08, 0x86, 0xE7, 
  0xA1, 0x1D, 0xAA, 0xED, 0x06, 0x70, 0xB2, 0xD2, 
  0x41, 0x7B, 0xA0, 0x11, 0x31, 0xC2, 0x27, 0x90, 
  0x20, 0xF6, 0x60, 0xFF, 0x96, 0x5C, 0xB1, 0xAB, 
  0x9E, 0x9C, 0x52, 0x1B, 0x5F, 0x93, 0x0A, 0xEF, 
  0x91, 0x85, 0x49, 0xEE, 0x2D, 0x4F, 0x8F, 0x3B, 
  0x47, 0x87, 0x6D, 0x46, 0xD6, 0x3E, 0x69, 0x64, 
  0x2A, 0xCE, 0xCB, 0x2F, 0xFC, 0x97, 0x05, 0x7A, 
  0xAC, 0x7F, 0xD5, 0x1A, 0x4B, 0x0E, 0xA7, 0x5A, 
  0x28, 0x14, 0x3F, 0x29, 0x88, 0x3C, 0x4C, 0x02, 
  0xB8, 0xDA, 0xB0, 0x17, 0x55, 0x1F, 0x8A, 0x7D, 
  0x57, 0xC7, 0x8D, 0x74, 0xB7, 0xC4, 0x9F, 0x72, 
  0x7E, 0x15, 0x22, 0x12, 0x58, 0x07, 0x99, 0x34, 
  0x6E, 0x50, 0xDE, 0x68, 0x65, 0xBC, 0xDB, 0xF8, 
  0xC8, 0xA8, 0x2B, 0x40, 0xDC, 0xFE, 0x32, 0xA4, 
  0xCA, 0x10, 0x21, 0xF0, 0xD3, 0x5D, 0x0F, 0x00, 
  0x6F, 0x9D, 0x36, 0x42, 0x4A, 0x5E, 0xC1, 0xE0, 
];
pub const Q1: [u8; 256] = [
  0x75, 0xF3, 0xC6, 0xF4, 0xDB, 0x7B, 0xFB, 0xC8, 
  0x4A, 0xD3, 0xE6, 0x6B, 0x45, 0x7D, 0xE8, 0x4B, 
  0xD6, 0x32, 0xD8, 0xFD, 0x37, 0x71, 0xF1, 0xE1, 
  0x30, 0x0F, 0xF8, 0x1B, 0x87, 0xFA, 0x06, 0x3F, 
  0x5E, 0xBA, 0xAE, 0x5B, 0x8A, 0x00, 0xBC, 0x9D, 
  0x6D, 0xC1, 0xB1, 0x0E, 0x80, 0x5D, 0xD2, 0xD5, 
  0xA0, 0x84, 0x07, 0x14, 0xB5, 0x90, 0x2C, 0xA3, 
  0xB2, 0x73, 0x4C, 0x54, 0x92, 0x74, 0x36, 0x51, 
  0x38, 0xB0, 0xBD, 0x5A, 0xFC, 0x60, 0x62, 0x96, 
  0x6C, 0x42, 0xF7, 0x10, 0x7C, 0x28, 0x27, 0x8C, 
  0x13, 0x95, 0x9C, 0xC7, 0x24, 0x46, 0x3B, 0x70, 
  0xCA, 0xE3, 0x85, 0xCB, 0x11, 0xD0, 0x93, 0xB8, 
  0xA6, 0x83, 0x20, 0xFF, 0x9F, 0x77, 0xC3, 0xCC, 
  0x03, 0x6F, 0x08, 0xBF, 0x40, 0xE7, 0x2B, 0xE2, 
  0x79, 0x0C, 0xAA, 0x82, 0x41, 0x3A, 0xEA, 0xB9, 
  0xE4, 0x9A, 0xA4, 0x97, 0x7E, 0xDA, 0x7A, 0x17, 
  0x66, 0x94, 0xA1, 0x1D, 0x3D, 0xF0, 0xDE, 0xB3, 
  0x0B, 0x72, 0xA7, 0x1C, 0xEF, 0xD1, 0x53, 0x3E, 
  0x8F, 0x33, 0x26, 0x5F, 0xEC, 0x76, 0x2A, 0x49, 
  0x81, 0x88, 0xEE, 0x21, 0xC4, 0x1A, 0xEB, 0xD9, 
  0xC5, 0x39, 0x99, 0xCD, 0xAD, 0x31, 0x8B, 0x01, 
  0x18, 0x23, 0xDD, 0x1F, 0x4E, 0x2D, 0xF9, 0x48, 
  0x4F, 0xF2, 0x65, 0x8E, 0x78, 0x5C, 0x58, 0x19, 
  0x8D, 0xE5, 0x98, 0x57, 0x67, 0x7F, 0x05, 0x64, 
  0xAF, 0x63, 0xB6, 0xFE, 0xF5, 0xB7, 0x3C, 0xA5, 
  0xCE, 0xE9, 0x68, 0x44, 0xE0, 0x4D, 0x43, 0x69, 
  0x29, 0x2E, 0xAC, 0x15, 0x59, 0xA8, 0x0A, 0x9E, 
  0x6E, 0x47, 0xDF, 0x34, 0x35, 0x6A, 0xCF, 0xDC, 
  0x22, 0xC9, 0xC0, 0x9B, 0x89, 0xD4, 0xED, 0xAB, 
  0x12, 0xA2, 0x0D, 0x52, 0xBB, 0x02, 0x2F, 0xA9, 
  0xD7, 0x61, 0x1E, 0xB4, 0x50, 0x04, 0xF6, 0xC2, 
  0x16, 0x25, 0x86, 0x56, 0x55, 0x09, 0xBE, 0x91, 
];

/* These MDS tables are actually tables of MDS composed with q0 and q1,
 * because it is only ever used that way and we can save some time by
 * precomputing.  Of course the main saving comes from precomputing the
 * GF(2^8) multiplication involved in the MDS matrix multiply; by looking
 * things up in these tables we reduce the matrix multiply to four lookups
 * and three XORs.  Semi-formally, the definition of these tables is:
 * mds[0][i] = MDS (q1[i] 0 0 0)^T  mds[1][i] = MDS (0 q0[i] 0 0)^T
 * mds[2][i] = MDS (0 0 q1[i] 0)^T  mds[3][i] = MDS (0 0 0 q0[i])^T
 * where ^T means "transpose", the matrix multiply is performed in GF(2^8)
 * represented as GF(2)[x]/v(x) where v(x)=x^8+x^6+x^5+x^3+1 as described
 * by Schneier et al, and I'm casually glossing over the byte/word
 * conversion issues. */

pub const MDSQ: [[u32; 256]; 4] = [
    [
        0xBCBC3275, 0xECEC21F3, 0x202043C6, 0xB3B3C9F4, 
        0xDADA03DB, 0x02028B7B, 0xE2E22BFB, 0x9E9EFAC8, 
        0xC9C9EC4A, 0xD4D409D3, 0x18186BE6, 0x1E1E9F6B, 
        0x98980E45, 0xB2B2387D, 0xA6A6D2E8, 0x2626B74B, 
        0x3C3C57D6, 0x93938A32, 0x8282EED8, 0x525298FD, 
        0x7B7BD437, 0xBBBB3771, 0x5B5B97F1, 0x474783E1, 
        0x24243C30, 0x5151E20F, 0xBABAC6F8, 0x4A4AF31B, 
        0xBFBF4887, 0x0D0D70FA, 0xB0B0B306, 0x7575DE3F, 
        0xD2D2FD5E, 0x7D7D20BA, 0x666631AE, 0x3A3AA35B, 
        0x59591C8A, 0x00000000, 0xCDCD93BC, 0x1A1AE09D, 
        0xAEAE2C6D, 0x7F7FABC1, 0x2B2BC7B1, 0xBEBEB90E, 
        0xE0E0A080, 0x8A8A105D, 0x3B3B52D2, 0x6464BAD5, 
        0xD8D888A0, 0xE7E7A584, 0x5F5FE807, 0x1B1B1114, 
        0x2C2CC2B5, 0xFCFCB490, 0x3131272C, 0x808065A3, 
        0x73732AB2, 0x0C0C8173, 0x79795F4C, 0x6B6B4154, 
        0x4B4B0292, 0x53536974, 0x94948F36, 0x83831F51, 
        0x2A2A3638, 0xC4C49CB0, 0x2222C8BD, 0xD5D5F85A, 
        0xBDBDC3FC, 0x48487860, 0xFFFFCE62, 0x4C4C0796, 
        0x4141776C, 0xC7C7E642, 0xEBEB24F7, 0x1C1C1410, 
        0x5D5D637C, 0x36362228, 0x6767C027, 0xE9E9AF8C, 
        0x4444F913, 0x1414EA95, 0xF5F5BB9C, 0xCFCF18C7, 
        0x3F3F2D24, 0xC0C0E346, 0x7272DB3B, 0x54546C70, 
        0x29294CCA, 0xF0F035E3, 0x0808FE85, 0xC6C617CB, 
        0xF3F34F11, 0x8C8CE4D0, 0xA4A45993, 0xCACA96B8, 
        0x68683BA6, 0xB8B84D83, 0x38382820, 0xE5E52EFF, 
        0xADAD569F, 0x0B0B8477, 0xC8C81DC3, 0x9999FFCC, 
        0x5858ED03, 0x19199A6F, 0x0E0E0A08, 0x95957EBF, 
        0x70705040, 0xF7F730E7, 0x6E6ECF2B, 0x1F1F6EE2, 
        0xB5B53D79, 0x09090F0C, 0x616134AA, 0x57571682, 
        0x9F9F0B41, 0x9D9D803A, 0x111164EA, 0x2525CDB9, 
        0xAFAFDDE4, 0x4545089A, 0xDFDF8DA4, 0xA3A35C97, 
        0xEAEAD57E, 0x353558DA, 0xEDEDD07A, 0x4343FC17, 
        0xF8F8CB66, 0xFBFBB194, 0x3737D3A1, 0xFAFA401D, 
        0xC2C2683D, 0xB4B4CCF0, 0x32325DDE, 0x9C9C71B3, 
        0x5656E70B, 0xE3E3DA72, 0x878760A7, 0x15151B1C, 
        0xF9F93AEF, 0x6363BFD1, 0x3434A953, 0x9A9A853E, 
        0xB1B1428F, 0x7C7CD133, 0x88889B26, 0x3D3DA65F, 
        0xA1A1D7EC, 0xE4E4DF76, 0x8181942A, 0x91910149, 
        0x0F0FFB81, 0xEEEEAA88, 0x161661EE, 0xD7D77321, 
        0x9797F5C4, 0xA5A5A81A, 0xFEFE3FEB, 0x6D6DB5D9, 
        0x7878AEC5, 0xC5C56D39, 0x1D1DE599, 0x7676A4CD, 
        0x3E3EDCAD, 0xCBCB6731, 0xB6B6478B, 0xEFEF5B01, 
        0x12121E18, 0x6060C523, 0x6A6AB0DD, 0x4D4DF61F, 
        0xCECEE94E, 0xDEDE7C2D, 0x55559DF9, 0x7E7E5A48, 
        0x2121B24F, 0x03037AF2, 0xA0A02665, 0x5E5E198E, 
        0x5A5A6678, 0x65654B5C, 0x62624E58, 0xFDFD4519, 
        0x0606F48D, 0x404086E5, 0xF2F2BE98, 0x3333AC57, 
        0x17179067, 0x05058E7F, 0xE8E85E05, 0x4F4F7D64, 
        0x89896AAF, 0x10109563, 0x74742FB6, 0x0A0A75FE, 
        0x5C5C92F5, 0x9B9B74B7, 0x2D2D333C, 0x3030D6A5, 
        0x2E2E49CE, 0x494989E9, 0x46467268, 0x77775544, 
        0xA8A8D8E0, 0x9696044D, 0x2828BD43, 0xA9A92969, 
        0xD9D97929, 0x8686912E, 0xD1D187AC, 0xF4F44A15, 
        0x8D8D1559, 0xD6D682A8, 0xB9B9BC0A, 0x42420D9E, 
        0xF6F6C16E, 0x2F2FB847, 0xDDDD06DF, 0x23233934, 
        0xCCCC6235, 0xF1F1C46A, 0xC1C112CF, 0x8585EBDC, 
        0x8F8F9E22, 0x7171A1C9, 0x9090F0C0, 0xAAAA539B, 
        0x0101F189, 0x8B8BE1D4, 0x4E4E8CED, 0x8E8E6FAB, 
        0xABABA212, 0x6F6F3EA2, 0xE6E6540D, 0xDBDBF252, 
        0x92927BBB, 0xB7B7B602, 0x6969CA2F, 0x3939D9A9, 
        0xD3D30CD7, 0xA7A72361, 0xA2A2AD1E, 0xC3C399B4, 
        0x6C6C4450, 0x07070504, 0x04047FF6, 0x272746C2, 
        0xACACA716, 0xD0D07625, 0x50501386, 0xDCDCF756, 
        0x84841A55, 0xE1E15109, 0x7A7A25BE, 0x1313EF91, 
    ],
    [
        0xA9D93939, 0x67901717, 0xB3719C9C, 0xE8D2A6A6, 
        0x04050707, 0xFD985252, 0xA3658080, 0x76DFE4E4, 
        0x9A084545, 0x92024B4B, 0x80A0E0E0, 0x78665A5A, 
        0xE4DDAFAF, 0xDDB06A6A, 0xD1BF6363, 0x38362A2A, 
        0x0D54E6E6, 0xC6432020, 0x3562CCCC, 0x98BEF2F2, 
        0x181E1212, 0xF724EBEB, 0xECD7A1A1, 0x6C774141, 
        0x43BD2828, 0x7532BCBC, 0x37D47B7B, 0x269B8888, 
        0xFA700D0D, 0x13F94444, 0x94B1FBFB, 0x485A7E7E, 
        0xF27A0303, 0xD0E48C8C, 0x8B47B6B6, 0x303C2424, 
        0x84A5E7E7, 0x54416B6B, 0xDF06DDDD, 0x23C56060, 
        0x1945FDFD, 0x5BA33A3A, 0x3D68C2C2, 0x59158D8D, 
        0xF321ECEC, 0xAE316666, 0xA23E6F6F, 0x82165757, 
        0x63951010, 0x015BEFEF, 0x834DB8B8, 0x2E918686, 
        0xD9B56D6D, 0x511F8383, 0x9B53AAAA, 0x7C635D5D, 
        0xA63B6868, 0xEB3FFEFE, 0xA5D63030, 0xBE257A7A, 
        0x16A7ACAC, 0x0C0F0909, 0xE335F0F0, 0x6123A7A7, 
        0xC0F09090, 0x8CAFE9E9, 0x3A809D9D, 0xF5925C5C, 
        0x73810C0C, 0x2C273131, 0x2576D0D0, 0x0BE75656, 
        0xBB7B9292, 0x4EE9CECE, 0x89F10101, 0x6B9F1E1E, 
        0x53A93434, 0x6AC4F1F1, 0xB499C3C3, 0xF1975B5B, 
        0xE1834747, 0xE66B1818, 0xBDC82222, 0x450E9898, 
        0xE26E1F1F, 0xF4C9B3B3, 0xB62F7474, 0x66CBF8F8, 
        0xCCFF9999, 0x95EA1414, 0x03ED5858, 0x56F7DCDC, 
        0xD4E18B8B, 0x1C1B1515, 0x1EADA2A2, 0xD70CD3D3, 
        0xFB2BE2E2, 0xC31DC8C8, 0x8E195E5E, 0xB5C22C2C, 
        0xE9894949, 0xCF12C1C1, 0xBF7E9595, 0xBA207D7D, 
        0xEA641111, 0x77840B0B, 0x396DC5C5, 0xAF6A8989, 
        0x33D17C7C, 0xC9A17171, 0x62CEFFFF, 0x7137BBBB, 
        0x81FB0F0F, 0x793DB5B5, 0x0951E1E1, 0xADDC3E3E, 
        0x242D3F3F, 0xCDA47676, 0xF99D5555, 0xD8EE8282, 
        0xE5864040, 0xC5AE7878, 0xB9CD2525, 0x4D049696, 
        0x44557777, 0x080A0E0E, 0x86135050, 0xE730F7F7, 
        0xA1D33737, 0x1D40FAFA, 0xAA346161, 0xED8C4E4E, 
        0x06B3B0B0, 0x706C5454, 0xB22A7373, 0xD2523B3B, 
        0x410B9F9F, 0x7B8B0202, 0xA088D8D8, 0x114FF3F3, 
        0x3167CBCB, 0xC2462727, 0x27C06767, 0x90B4FCFC, 
        0x20283838, 0xF67F0404, 0x60784848, 0xFF2EE5E5, 
        0x96074C4C, 0x5C4B6565, 0xB1C72B2B, 0xAB6F8E8E, 
        0x9E0D4242, 0x9CBBF5F5, 0x52F2DBDB, 0x1BF34A4A, 
        0x5FA63D3D, 0x9359A4A4, 0x0ABCB9B9, 0xEF3AF9F9, 
        0x91EF1313, 0x85FE0808, 0x49019191, 0xEE611616, 
        0x2D7CDEDE, 0x4FB22121, 0x8F42B1B1, 0x3BDB7272, 
        0x47B82F2F, 0x8748BFBF, 0x6D2CAEAE, 0x46E3C0C0, 
        0xD6573C3C, 0x3E859A9A, 0x6929A9A9, 0x647D4F4F, 
        0x2A948181, 0xCE492E2E, 0xCB17C6C6, 0x2FCA6969, 
        0xFCC3BDBD, 0x975CA3A3, 0x055EE8E8, 0x7AD0EDED, 
        0xAC87D1D1, 0x7F8E0505, 0xD5BA6464, 0x1AA8A5A5, 
        0x4BB72626, 0x0EB9BEBE, 0xA7608787, 0x5AF8D5D5, 
        0x28223636, 0x14111B1B, 0x3FDE7575, 0x2979D9D9, 
        0x88AAEEEE, 0x3C332D2D, 0x4C5F7979, 0x02B6B7B7, 
        0xB896CACA, 0xDA583535, 0xB09CC4C4, 0x17FC4343, 
        0x551A8484, 0x1FF64D4D, 0x8A1C5959, 0x7D38B2B2, 
        0x57AC3333, 0xC718CFCF, 0x8DF40606, 0x74695353, 
        0xB7749B9B, 0xC4F59797, 0x9F56ADAD, 0x72DAE3E3, 
        0x7ED5EAEA, 0x154AF4F4, 0x229E8F8F, 0x12A2ABAB, 
        0x584E6262, 0x07E85F5F, 0x99E51D1D, 0x34392323, 
        0x6EC1F6F6, 0x50446C6C, 0xDE5D3232, 0x68724646, 
        0x6526A0A0, 0xBC93CDCD, 0xDB03DADA, 0xF8C6BABA, 
        0xC8FA9E9E, 0xA882D6D6, 0x2BCF6E6E, 0x40507070, 
        0xDCEB8585, 0xFE750A0A, 0x328A9393, 0xA48DDFDF, 
        0xCA4C2929, 0x10141C1C, 0x2173D7D7, 0xF0CCB4B4, 
        0xD309D4D4, 0x5D108A8A, 0x0FE25151, 0x00000000, 
        0x6F9A1919, 0x9DE01A1A, 0x368F9494, 0x42E6C7C7, 
        0x4AECC9C9, 0x5EFDD2D2, 0xC1AB7F7F, 0xE0D8A8A8, 
    ],
    [
        0xBC75BC32, 0xECF3EC21, 0x20C62043, 0xB3F4B3C9, 
        0xDADBDA03, 0x027B028B, 0xE2FBE22B, 0x9EC89EFA, 
        0xC94AC9EC, 0xD4D3D409, 0x18E6186B, 0x1E6B1E9F, 
        0x9845980E, 0xB27DB238, 0xA6E8A6D2, 0x264B26B7, 
        0x3CD63C57, 0x9332938A, 0x82D882EE, 0x52FD5298, 
        0x7B377BD4, 0xBB71BB37, 0x5BF15B97, 0x47E14783, 
        0x2430243C, 0x510F51E2, 0xBAF8BAC6, 0x4A1B4AF3, 
        0xBF87BF48, 0x0DFA0D70, 0xB006B0B3, 0x753F75DE, 
        0xD25ED2FD, 0x7DBA7D20, 0x66AE6631, 0x3A5B3AA3, 
        0x598A591C, 0x00000000, 0xCDBCCD93, 0x1A9D1AE0, 
        0xAE6DAE2C, 0x7FC17FAB, 0x2BB12BC7, 0xBE0EBEB9, 
        0xE080E0A0, 0x8A5D8A10, 0x3BD23B52, 0x64D564BA, 
        0xD8A0D888, 0xE784E7A5, 0x5F075FE8, 0x1B141B11, 
        0x2CB52CC2, 0xFC90FCB4, 0x312C3127, 0x80A38065, 
        0x73B2732A, 0x0C730C81, 0x794C795F, 0x6B546B41, 
        0x4B924B02, 0x53745369, 0x9436948F, 0x8351831F, 
        0x2A382A36, 0xC4B0C49C, 0x22BD22C8, 0xD55AD5F8, 
        0xBDFCBDC3, 0x48604878, 0xFF62FFCE, 0x4C964C07, 
        0x416C4177, 0xC742C7E6, 0xEBF7EB24, 0x1C101C14, 
        0x5D7C5D63, 0x36283622, 0x672767C0, 0xE98CE9AF, 
        0x441344F9, 0x149514EA, 0xF59CF5BB, 0xCFC7CF18, 
        0x3F243F2D, 0xC046C0E3, 0x723B72DB, 0x5470546C, 
        0x29CA294C, 0xF0E3F035, 0x088508FE, 0xC6CBC617, 
        0xF311F34F, 0x8CD08CE4, 0xA493A459, 0xCAB8CA96, 
        0x68A6683B, 0xB883B84D, 0x38203828, 0xE5FFE52E, 
        0xAD9FAD56, 0x0B770B84, 0xC8C3C81D, 0x99CC99FF, 
        0x580358ED, 0x196F199A, 0x0E080E0A, 0x95BF957E, 
        0x70407050, 0xF7E7F730, 0x6E2B6ECF, 0x1FE21F6E, 
        0xB579B53D, 0x090C090F, 0x61AA6134, 0x57825716, 
        0x9F419F0B, 0x9D3A9D80, 0x11EA1164, 0x25B925CD, 
        0xAFE4AFDD, 0x459A4508, 0xDFA4DF8D, 0xA397A35C, 
        0xEA7EEAD5, 0x35DA3558, 0xED7AEDD0, 0x431743FC, 
        0xF866F8CB, 0xFB94FBB1, 0x37A137D3, 0xFA1DFA40, 
        0xC23DC268, 0xB4F0B4CC, 0x32DE325D, 0x9CB39C71, 
        0x560B56E7, 0xE372E3DA, 0x87A78760, 0x151C151B, 
        0xF9EFF93A, 0x63D163BF, 0x345334A9, 0x9A3E9A85, 
        0xB18FB142, 0x7C337CD1, 0x8826889B, 0x3D5F3DA6, 
        0xA1ECA1D7, 0xE476E4DF, 0x812A8194, 0x91499101, 
        0x0F810FFB, 0xEE88EEAA, 0x16EE1661, 0xD721D773, 
        0x97C497F5, 0xA51AA5A8, 0xFEEBFE3F, 0x6DD96DB5, 
        0x78C578AE, 0xC539C56D, 0x1D991DE5, 0x76CD76A4, 
        0x3EAD3EDC, 0xCB31CB67, 0xB68BB647, 0xEF01EF5B, 
        0x1218121E, 0x602360C5, 0x6ADD6AB0, 0x4D1F4DF6, 
        0xCE4ECEE9, 0xDE2DDE7C, 0x55F9559D, 0x7E487E5A, 
        0x214F21B2, 0x03F2037A, 0xA065A026, 0x5E8E5E19, 
        0x5A785A66, 0x655C654B, 0x6258624E, 0xFD19FD45, 
        0x068D06F4, 0x40E54086, 0xF298F2BE, 0x335733AC, 
        0x17671790, 0x057F058E, 0xE805E85E, 0x4F644F7D, 
        0x89AF896A, 0x10631095, 0x74B6742F, 0x0AFE0A75, 
        0x5CF55C92, 0x9BB79B74, 0x2D3C2D33, 0x30A530D6, 
        0x2ECE2E49, 0x49E94989, 0x46684672, 0x77447755, 
        0xA8E0A8D8, 0x964D9604, 0x284328BD, 0xA969A929, 
        0xD929D979, 0x862E8691, 0xD1ACD187, 0xF415F44A, 
        0x8D598D15, 0xD6A8D682, 0xB90AB9BC, 0x429E420D, 
        0xF66EF6C1, 0x2F472FB8, 0xDDDFDD06, 0x23342339, 
        0xCC35CC62, 0xF16AF1C4, 0xC1CFC112, 0x85DC85EB, 
        0x8F228F9E, 0x71C971A1, 0x90C090F0, 0xAA9BAA53, 
        0x018901F1, 0x8BD48BE1, 0x4EED4E8C, 0x8EAB8E6F, 
        0xAB12ABA2, 0x6FA26F3E, 0xE60DE654, 0xDB52DBF2, 
        0x92BB927B, 0xB702B7B6, 0x692F69CA, 0x39A939D9, 
        0xD3D7D30C, 0xA761A723, 0xA21EA2AD, 0xC3B4C399, 
        0x6C506C44, 0x07040705, 0x04F6047F, 0x27C22746, 
        0xAC16ACA7, 0xD025D076, 0x50865013, 0xDC56DCF7, 
        0x8455841A, 0xE109E151, 0x7ABE7A25, 0x139113EF, 
    ],
    [
        0xD939A9D9, 0x90176790, 0x719CB371, 0xD2A6E8D2, 
        0x05070405, 0x9852FD98, 0x6580A365, 0xDFE476DF, 
        0x08459A08, 0x024B9202, 0xA0E080A0, 0x665A7866, 
        0xDDAFE4DD, 0xB06ADDB0, 0xBF63D1BF, 0x362A3836, 
        0x54E60D54, 0x4320C643, 0x62CC3562, 0xBEF298BE, 
        0x1E12181E, 0x24EBF724, 0xD7A1ECD7, 0x77416C77, 
        0xBD2843BD, 0x32BC7532, 0xD47B37D4, 0x9B88269B, 
        0x700DFA70, 0xF94413F9, 0xB1FB94B1, 0x5A7E485A, 
        0x7A03F27A, 0xE48CD0E4, 0x47B68B47, 0x3C24303C, 
        0xA5E784A5, 0x416B5441, 0x06DDDF06, 0xC56023C5, 
        0x45FD1945, 0xA33A5BA3, 0x68C23D68, 0x158D5915, 
        0x21ECF321, 0x3166AE31, 0x3E6FA23E, 0x16578216, 
        0x95106395, 0x5BEF015B, 0x4DB8834D, 0x91862E91, 
        0xB56DD9B5, 0x1F83511F, 0x53AA9B53, 0x635D7C63, 
        0x3B68A63B, 0x3FFEEB3F, 0xD630A5D6, 0x257ABE25, 
        0xA7AC16A7, 0x0F090C0F, 0x35F0E335, 0x23A76123, 
        0xF090C0F0, 0xAFE98CAF, 0x809D3A80, 0x925CF592, 
        0x810C7381, 0x27312C27, 0x76D02576, 0xE7560BE7, 
        0x7B92BB7B, 0xE9CE4EE9, 0xF10189F1, 0x9F1E6B9F, 
        0xA93453A9, 0xC4F16AC4, 0x99C3B499, 0x975BF197, 
        0x8347E183, 0x6B18E66B, 0xC822BDC8, 0x0E98450E, 
        0x6E1FE26E, 0xC9B3F4C9, 0x2F74B62F, 0xCBF866CB, 
        0xFF99CCFF, 0xEA1495EA, 0xED5803ED, 0xF7DC56F7, 
        0xE18BD4E1, 0x1B151C1B, 0xADA21EAD, 0x0CD3D70C, 
        0x2BE2FB2B, 0x1DC8C31D, 0x195E8E19, 0xC22CB5C2, 
        0x8949E989, 0x12C1CF12, 0x7E95BF7E, 0x207DBA20, 
        0x6411EA64, 0x840B7784, 0x6DC5396D, 0x6A89AF6A, 
        0xD17C33D1, 0xA171C9A1, 0xCEFF62CE, 0x37BB7137, 
        0xFB0F81FB, 0x3DB5793D, 0x51E10951, 0xDC3EADDC, 
        0x2D3F242D, 0xA476CDA4, 0x9D55F99D, 0xEE82D8EE, 
        0x8640E586, 0xAE78C5AE, 0xCD25B9CD, 0x04964D04, 
        0x55774455, 0x0A0E080A, 0x13508613, 0x30F7E730, 
        0xD337A1D3, 0x40FA1D40, 0x3461AA34, 0x8C4EED8C, 
        0xB3B006B3, 0x6C54706C, 0x2A73B22A, 0x523BD252, 
        0x0B9F410B, 0x8B027B8B, 0x88D8A088, 0x4FF3114F, 
        0x67CB3167, 0x4627C246, 0xC06727C0, 0xB4FC90B4, 
        0x28382028, 0x7F04F67F, 0x78486078, 0x2EE5FF2E, 
        0x074C9607, 0x4B655C4B, 0xC72BB1C7, 0x6F8EAB6F, 
        0x0D429E0D, 0xBBF59CBB, 0xF2DB52F2, 0xF34A1BF3, 
        0xA63D5FA6, 0x59A49359, 0xBCB90ABC, 0x3AF9EF3A, 
        0xEF1391EF, 0xFE0885FE, 0x01914901, 0x6116EE61, 
        0x7CDE2D7C, 0xB2214FB2, 0x42B18F42, 0xDB723BDB, 
        0xB82F47B8, 0x48BF8748, 0x2CAE6D2C, 0xE3C046E3, 
        0x573CD657, 0x859A3E85, 0x29A96929, 0x7D4F647D, 
        0x94812A94, 0x492ECE49, 0x17C6CB17, 0xCA692FCA, 
        0xC3BDFCC3, 0x5CA3975C, 0x5EE8055E, 0xD0ED7AD0, 
        0x87D1AC87, 0x8E057F8E, 0xBA64D5BA, 0xA8A51AA8, 
        0xB7264BB7, 0xB9BE0EB9, 0x6087A760, 0xF8D55AF8, 
        0x22362822, 0x111B1411, 0xDE753FDE, 0x79D92979, 
        0xAAEE88AA, 0x332D3C33, 0x5F794C5F, 0xB6B702B6, 
        0x96CAB896, 0x5835DA58, 0x9CC4B09C, 0xFC4317FC, 
        0x1A84551A, 0xF64D1FF6, 0x1C598A1C, 0x38B27D38, 
        0xAC3357AC, 0x18CFC718, 0xF4068DF4, 0x69537469, 
        0x749BB774, 0xF597C4F5, 0x56AD9F56, 0xDAE372DA, 
        0xD5EA7ED5, 0x4AF4154A, 0x9E8F229E, 0xA2AB12A2, 
        0x4E62584E, 0xE85F07E8, 0xE51D99E5, 0x39233439, 
        0xC1F66EC1, 0x446C5044, 0x5D32DE5D, 0x72466872, 
        0x26A06526, 0x93CDBC93, 0x03DADB03, 0xC6BAF8C6, 
        0xFA9EC8FA, 0x82D6A882, 0xCF6E2BCF, 0x50704050, 
        0xEB85DCEB, 0x750AFE75, 0x8A93328A, 0x8DDFA48D, 
        0x4C29CA4C, 0x141C1014, 0x73D72173, 0xCCB4F0CC, 
        0x09D4D309, 0x108A5D10, 0xE2510FE2, 0x00000000, 
        0x9A196F9A, 0xE01A9DE0, 0x8F94368F, 0xE6C742E6, 
        0xECC94AEC, 0xFDD25EFD, 0xAB7FC1AB, 0xD8A8E0D8, 
    ],
];

/* The exp_to_poly and poly_to_exp tables are used to perform efficient
 * operations in GF(2^8) represented as GF(2)[x]/w(x) where
 * w(x)=x^8+x^6+x^3+x^2+1.  We care about doing that because it's part of the
 * definition of the RS matrix in the key schedule.  Elements of that field
 * are polynomials of degree not greater than 7 and all coefficients 0 or 1,
 * which can be represented naturally by bytes (just substitute x=2).  In that
 * form, GF(2^8) addition is the same as bitwise XOR, but GF(2^8)
 * multiplication is inefficient without hardware support.  To multiply
 * faster, I make use of the fact x is a generator for the nonzero elements,
 * so that every element p of GF(2)[x]/w(x) is either 0 or equal to (x)^n for
 * some n in 0..254.  Note that that caret is exponentiation in GF(2^8),
 * *not* polynomial notation.  So if I want to compute pq where p and q are
 * in GF(2^8), I can just say:
 *    1. if p=0 or q=0 then pq=0
 *    2. otherwise, find m and n such that p=x^m and q=x^n
 *    3. pq=(x^m)(x^n)=x^(m+n), so add m and n and find pq
 * The translations in steps 2 and 3 are looked up in the tables
 * poly_to_exp (for step 2) and exp_to_poly (for step 3).  To see this
 * in action, look at the CALC_S macro.  As additional wrinkles, note that
 * one of my operands is always a constant, so the poly_to_exp lookup on it
 * is done in advance; I included the original values in the comments so
 * readers can have some chance of recognizing that this *is* the RS matrix
 * from the Twofish paper.  I've only included the table entries I actually
 * need; I never do a lookup on a variable input of zero and the biggest
 * exponents I'll ever see are 254 (variable) and 237 (constant), so they'll
 * never sum to more than 491.	I'm repeating part of the exp_to_poly table
 * so that I don't have to do mod-255 reduction in the exponent arithmetic.
 * Since I know my constant operands are never zero, I only have to worry
 * about zero values in the variable operand, and I do it with a simple
 * conditional branch.	I know conditionals are expensive, but I couldn't
 * see a non-horrible way of avoiding them, and I did manage to group the
 * statements so that each if covers four group multiplications. */

pub const RS_POLY_TO_EXP: [u8; 255] = [
  0x00, 0x01, 0x17, 0x02, 0x2E, 0x18, 0x53, 0x03, 0x6A, 0x2F, 0x93, 0x19, 
  0x34, 0x54, 0x45, 0x04, 0x5C, 0x6B, 0xB6, 0x30, 0xA6, 0x94, 0x4B, 0x1A, 
  0x8C, 0x35, 0x81, 0x55, 0xAA, 0x46, 0x0D, 0x05, 0x24, 0x5D, 0x87, 0x6C, 
  0x9B, 0xB7, 0xC1, 0x31, 0x2B, 0xA7, 0xA3, 0x95, 0x98, 0x4C, 0xCA, 0x1B, 
  0xE6, 0x8D, 0x73, 0x36, 0xCD, 0x82, 0x12, 0x56, 0x62, 0xAB, 0xF0, 0x47, 
  0x4F, 0x0E, 0xBD, 0x06, 0xD4, 0x25, 0xD2, 0x5E, 0x27, 0x88, 0x66, 0x6D, 
  0xD6, 0x9C, 0x79, 0xB8, 0x08, 0xC2, 0xDF, 0x32, 0x68, 0x2C, 0xFD, 0xA8, 
  0x8A, 0xA4, 0x5A, 0x96, 0x29, 0x99, 0x22, 0x4D, 0x60, 0xCB, 0xE4, 0x1C, 
  0x7B, 0xE7, 0x3B, 0x8E, 0x9E, 0x74, 0xF4, 0x37, 0xD8, 0xCE, 0xF9, 0x83, 
  0x6F, 0x13, 0xB2, 0x57, 0xE1, 0x63, 0xDC, 0xAC, 0xC4, 0xF1, 0xAF, 0x48, 
  0x0A, 0x50, 0x42, 0x0F, 0xBA, 0xBE, 0xC7, 0x07, 0xDE, 0xD5, 0x78, 0x26, 
  0x65, 0xD3, 0xD1, 0x5F, 0xE3, 0x28, 0x21, 0x89, 0x59, 0x67, 0xFC, 0x6E, 
  0xB1, 0xD7, 0xF8, 0x9D, 0xF3, 0x7A, 0x3A, 0xB9, 0xC6, 0x09, 0x41, 0xC3, 
  0xAE, 0xE0, 0xDB, 0x33, 0x44, 0x69, 0x92, 0x2D, 0x52, 0xFE, 0x16, 0xA9, 
  0x0C, 0x8B, 0x80, 0xA5, 0x4A, 0x5B, 0xB5, 0x97, 0xC9, 0x2A, 0xA2, 0x9A, 
  0xC0, 0x23, 0x86, 0x4E, 0xBC, 0x61, 0xEF, 0xCC, 0x11, 0xE5, 0x72, 0x1D, 
  0x3D, 0x7C, 0xEB, 0xE8, 0xE9, 0x3C, 0xEA, 0x8F, 0x7D, 0x9F, 0xEC, 0x75, 
  0x1E, 0xF5, 0x3E, 0x38, 0xF6, 0xD9, 0x3F, 0xCF, 0x76, 0xFA, 0x1F, 0x84, 
  0xA0, 0x70, 0xED, 0x14, 0x90, 0xB3, 0x7E, 0x58, 0xFB, 0xE2, 0x20, 0x64, 
  0xD0, 0xDD, 0x77, 0xAD, 0xDA, 0xC5, 0x40, 0xF2, 0x39, 0xB0, 0xF7, 0x49, 
  0xB4, 0x0B, 0x7F, 0x51, 0x15, 0x43, 0x91, 0x10, 0x71, 0xBB, 0xEE, 0xBF, 
  0x85, 0xC8, 0xA1, 
];
pub const RS_POLY_FROM_EXP: [u8; 492] = [
  0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x4D, 0x9A, 0x79, 0xF2, 
  0xA9, 0x1F, 0x3E, 0x7C, 0xF8, 0xBD, 0x37, 0x6E, 0xDC, 0xF5, 0xA7, 0x03, 
  0x06, 0x0C, 0x18, 0x30, 0x60, 0xC0, 0xCD, 0xD7, 0xE3, 0x8B, 0x5B, 0xB6, 
  0x21, 0x42, 0x84, 0x45, 0x8A, 0x59, 0xB2, 0x29, 0x52, 0xA4, 0x05, 0x0A, 
  0x14, 0x28, 0x50, 0xA0, 0x0D, 0x1A, 0x34, 0x68, 0xD0, 0xED, 0x97, 0x63, 
  0xC6, 0xC1, 0xCF, 0xD3, 0xEB, 0x9B, 0x7B, 0xF6, 0xA1, 0x0F, 0x1E, 0x3C, 
  0x78, 0xF0, 0xAD, 0x17, 0x2E, 0x5C, 0xB8, 0x3D, 0x7A, 0xF4, 0xA5, 0x07, 
  0x0E, 0x1C, 0x38, 0x70, 0xE0, 0x8D, 0x57, 0xAE, 0x11, 0x22, 0x44, 0x88, 
  0x5D, 0xBA, 0x39, 0x72, 0xE4, 0x85, 0x47, 0x8E, 0x51, 0xA2, 0x09, 0x12, 
  0x24, 0x48, 0x90, 0x6D, 0xDA, 0xF9, 0xBF, 0x33, 0x66, 0xCC, 0xD5, 0xE7, 
  0x83, 0x4B, 0x96, 0x61, 0xC2, 0xC9, 0xDF, 0xF3, 0xAB, 0x1B, 0x36, 0x6C, 
  0xD8, 0xFD, 0xB7, 0x23, 0x46, 0x8C, 0x55, 0xAA, 0x19, 0x32, 0x64, 0xC8, 
  0xDD, 0xF7, 0xA3, 0x0B, 0x16, 0x2C, 0x58, 0xB0, 0x2D, 0x5A, 0xB4, 0x25, 
  0x4A, 0x94, 0x65, 0xCA, 0xD9, 0xFF, 0xB3, 0x2B, 0x56, 0xAC, 0x15, 0x2A, 
  0x54, 0xA8, 0x1D, 0x3A, 0x74, 0xE8, 0x9D, 0x77, 0xEE, 0x91, 0x6F, 0xDE, 
  0xF1, 0xAF, 0x13, 0x26, 0x4C, 0x98, 0x7D, 0xFA, 0xB9, 0x3F, 0x7E, 0xFC, 
  0xB5, 0x27, 0x4E, 0x9C, 0x75, 0xEA, 0x99, 0x7F, 0xFE, 0xB1, 0x2F, 0x5E, 
  0xBC, 0x35, 0x6A, 0xD4, 0xE5, 0x87, 0x43, 0x86, 0x41, 0x82, 0x49, 0x92, 
  0x69, 0xD2, 0xE9, 0x9F, 0x73, 0xE6, 0x81, 0x4F, 0x9E, 0x71, 0xE2, 0x89, 
  0x5F, 0xBE, 0x31, 0x62, 0xC4, 0xC5, 0xC7, 0xC3, 0xCB, 0xDB, 0xFB, 0xBB, 
  0x3B, 0x76, 0xEC, 0x95, 0x67, 0xCE, 0xD1, 0xEF, 0x93, 0x6B, 0xD6, 0xE1, 
  0x8F, 0x53, 0xA6, 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x4D, 
  0x9A, 0x79, 0xF2, 0xA9, 0x1F, 0x3E, 0x7C, 0xF8, 0xBD, 0x37, 0x6E, 0xDC, 
  0xF5, 0xA7, 0x03, 0x06, 0x0C, 0x18, 0x30, 0x60, 0xC0, 0xCD, 0xD7, 0xE3, 
  0x8B, 0x5B, 0xB6, 0x21, 0x42, 0x84, 0x45, 0x8A, 0x59, 0xB2, 0x29, 0x52, 
  0xA4, 0x05, 0x0A, 0x14, 0x28, 0x50, 0xA0, 0x0D, 0x1A, 0x34, 0x68, 0xD0, 
  0xED, 0x97, 0x63, 0xC6, 0xC1, 0xCF, 0xD3, 0xEB, 0x9B, 0x7B, 0xF6, 0xA1, 
  0x0F, 0x1E, 0x3C, 0x78, 0xF0, 0xAD, 0x17, 0x2E, 0x5C, 0xB8, 0x3D, 0x7A, 
  0xF4, 0xA5, 0x07, 0x0E, 0x1C, 0x38, 0x70, 0xE0, 0x8D, 0x57, 0xAE, 0x11, 
  0x22, 0x44, 0x88, 0x5D, 0xBA, 0x39, 0x72, 0xE4, 0x85, 0x47, 0x8E, 0x51, 
  0xA2, 0x09, 0x12, 0x24, 0x48, 0x90, 0x6D, 0xDA, 0xF9, 0xBF, 0x33, 0x66, 
  0xCC, 0xD5, 0xE7, 0x83, 0x4B, 0x96, 0x61, 0xC2, 0xC9, 0xDF, 0xF3, 0xAB, 
  0x1B, 0x36, 0x6C, 0xD8, 0xFD, 0xB7, 0x23, 0x46, 0x8C, 0x55, 0xAA, 0x19, 
  0x32, 0x64, 0xC8, 0xDD, 0xF7, 0xA3, 0x0B, 0x16, 0x2C, 0x58, 0xB0, 0x2D, 
  0x5A, 0xB4, 0x25, 0x4A, 0x94, 0x65, 0xCA, 0xD9, 0xFF, 0xB3, 0x2B, 0x56, 
  0xAC, 0x15, 0x2A, 0x54, 0xA8, 0x1D, 0x3A, 0x74, 0xE8, 0x9D, 0x77, 0xEE, 
  0x91, 0x6F, 0xDE, 0xF1, 0xAF, 0x13, 0x26, 0x4C, 0x98, 0x7D, 0xFA, 0xB9, 
  0x3F, 0x7E, 0xFC, 0xB5, 0x27, 0x4E, 0x9C, 0x75, 0xEA, 0x99, 0x7F, 0xFE, 
  0xB1, 0x2F, 0x5E, 0xBC, 0x35, 0x6A, 0xD4, 0xE5, 0x87, 0x43, 0x86, 0x41, 
  0x82, 0x49, 0x92, 0x69, 0xD2, 0xE9, 0x9F, 0x73, 0xE6, 0x81, 0x4F, 0x9E, 
  0x71, 0xE2, 0x89, 0x5F, 0xBE, 0x31, 0x62, 0xC4, 0xC5, 0xC7, 0xC3, 0xCB,
];

/* The RS matrix values, de-mystified, processed through rs_poly_to_exp. -SB */

pub const RS_MATRIX: [u8; 32] = [
    0x00, 0x2D, 0x01, 0x2D,
    0x2D, 0xA4, 0x44, 0x8A,
    0x8A, 0xD5, 0xBF, 0xD1,
    0xD1, 0x7F, 0x3D, 0x99,
    0x99, 0x46, 0x66, 0x96,
    0x96, 0x3C, 0x5B, 0xED,
    0xED, 0x37, 0x4F, 0xE0,
    0xE0, 0xD0, 0x8C, 0x17,
];