/* * Copyright (C) 2013 Andrea Mazzoleni * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 2 of the License, or * (at your option) any later version. * * This program 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 General Public License for more details. */ #ifndef __RAID_GF_H #define __RAID_GF_H /* * Galois field operations. * * Basic range checks are implemented using BUG_ON(). */ /* * GF a*b. */ static __always_inline uint8_t mul(uint8_t a, uint8_t b) { return gfmul[a][b]; } /* * GF 1/a. * Not defined for a == 0. */ static __always_inline uint8_t inv(uint8_t v) { BUG_ON(v == 0); /* division by zero */ return gfinv[v]; } /* * GF 2^a. */ static __always_inline uint8_t pow2(int v) { BUG_ON(v < 0 || v > 254); /* invalid exponent */ return gfexp[v]; } /* * Gets the multiplication table for a specified value. */ static __always_inline const uint8_t *table(uint8_t v) { return gfmul[v]; } /* * Gets the generator matrix coefficient for parity 'p' and disk 'd'. */ static __always_inline uint8_t A(int p, int d) { return gfgen[p][d]; } /* * Dereference as uint8_t */ #define v_8(p) (*(uint8_t *)&(p)) /* * Dereference as uint32_t */ #define v_32(p) (*(uint32_t *)&(p)) /* * Dereference as uint64_t */ #define v_64(p) (*(uint64_t *)&(p)) /* * Multiply each byte of a uint32 by 2 in the GF(2^8). */ static __always_inline uint32_t x2_32(uint32_t v) { uint32_t mask = v & 0x80808080U; mask = (mask << 1) - (mask >> 7); v = (v << 1) & 0xfefefefeU; v ^= mask & 0x1d1d1d1dU; return v; } /* * Multiply each byte of a uint64 by 2 in the GF(2^8). */ static __always_inline uint64_t x2_64(uint64_t v) { uint64_t mask = v & 0x8080808080808080ULL; mask = (mask << 1) - (mask >> 7); v = (v << 1) & 0xfefefefefefefefeULL; v ^= mask & 0x1d1d1d1d1d1d1d1dULL; return v; } /* * Divide each byte of a uint32 by 2 in the GF(2^8). */ static __always_inline uint32_t d2_32(uint32_t v) { uint32_t mask = v & 0x01010101U; mask = (mask << 8) - mask; v = (v >> 1) & 0x7f7f7f7fU; v ^= mask & 0x8e8e8e8eU; return v; } /* * Divide each byte of a uint64 by 2 in the GF(2^8). */ static __always_inline uint64_t d2_64(uint64_t v) { uint64_t mask = v & 0x0101010101010101ULL; mask = (mask << 8) - mask; v = (v >> 1) & 0x7f7f7f7f7f7f7f7fULL; v ^= mask & 0x8e8e8e8e8e8e8e8eULL; return v; } #endif