// SPDX-License-Identifier: BSD-2-Clause /********************************************************************** * Copyright(c) 2011-2015 Intel Corporation All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * Neither the name of Intel Corporation nor the names of its * contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include #include /* for memset */ #include #include "erasure_code.h" /* Global GF(256) tables */ static const unsigned char gff_base[] = { 0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1d, 0x3a, 0x74, 0xe8, 0xcd, 0x87, 0x13, 0x26, 0x4c, 0x98, 0x2d, 0x5a, 0xb4, 0x75, 0xea, 0xc9, 0x8f, 0x03, 0x06, 0x0c, 0x18, 0x30, 0x60, 0xc0, 0x9d, 0x27, 0x4e, 0x9c, 0x25, 0x4a, 0x94, 0x35, 0x6a, 0xd4, 0xb5, 0x77, 0xee, 0xc1, 0x9f, 0x23, 0x46, 0x8c, 0x05, 0x0a, 0x14, 0x28, 0x50, 0xa0, 0x5d, 0xba, 0x69, 0xd2, 0xb9, 0x6f, 0xde, 0xa1, 0x5f, 0xbe, 0x61, 0xc2, 0x99, 0x2f, 0x5e, 0xbc, 0x65, 0xca, 0x89, 0x0f, 0x1e, 0x3c, 0x78, 0xf0, 0xfd, 0xe7, 0xd3, 0xbb, 0x6b, 0xd6, 0xb1, 0x7f, 0xfe, 0xe1, 0xdf, 0xa3, 0x5b, 0xb6, 0x71, 0xe2, 0xd9, 0xaf, 0x43, 0x86, 0x11, 0x22, 0x44, 0x88, 0x0d, 0x1a, 0x34, 0x68, 0xd0, 0xbd, 0x67, 0xce, 0x81, 0x1f, 0x3e, 0x7c, 0xf8, 0xed, 0xc7, 0x93, 0x3b, 0x76, 0xec, 0xc5, 0x97, 0x33, 0x66, 0xcc, 0x85, 0x17, 0x2e, 0x5c, 0xb8, 0x6d, 0xda, 0xa9, 0x4f, 0x9e, 0x21, 0x42, 0x84, 0x15, 0x2a, 0x54, 0xa8, 0x4d, 0x9a, 0x29, 0x52, 0xa4, 0x55, 0xaa, 0x49, 0x92, 0x39, 0x72, 0xe4, 0xd5, 0xb7, 0x73, 0xe6, 0xd1, 0xbf, 0x63, 0xc6, 0x91, 0x3f, 0x7e, 0xfc, 0xe5, 0xd7, 0xb3, 0x7b, 0xf6, 0xf1, 0xff, 0xe3, 0xdb, 0xab, 0x4b, 0x96, 0x31, 0x62, 0xc4, 0x95, 0x37, 0x6e, 0xdc, 0xa5, 0x57, 0xae, 0x41, 0x82, 0x19, 0x32, 0x64, 0xc8, 0x8d, 0x07, 0x0e, 0x1c, 0x38, 0x70, 0xe0, 0xdd, 0xa7, 0x53, 0xa6, 0x51, 0xa2, 0x59, 0xb2, 0x79, 0xf2, 0xf9, 0xef, 0xc3, 0x9b, 0x2b, 0x56, 0xac, 0x45, 0x8a, 0x09, 0x12, 0x24, 0x48, 0x90, 0x3d, 0x7a, 0xf4, 0xf5, 0xf7, 0xf3, 0xfb, 0xeb, 0xcb, 0x8b, 0x0b, 0x16, 0x2c, 0x58, 0xb0, 0x7d, 0xfa, 0xe9, 0xcf, 0x83, 0x1b, 0x36, 0x6c, 0xd8, 0xad, 0x47, 0x8e, 0x01 }; static const unsigned char gflog_base[] = { 0x00, 0xff, 0x01, 0x19, 0x02, 0x32, 0x1a, 0xc6, 0x03, 0xdf, 0x33, 0xee, 0x1b, 0x68, 0xc7, 0x4b, 0x04, 0x64, 0xe0, 0x0e, 0x34, 0x8d, 0xef, 0x81, 0x1c, 0xc1, 0x69, 0xf8, 0xc8, 0x08, 0x4c, 0x71, 0x05, 0x8a, 0x65, 0x2f, 0xe1, 0x24, 0x0f, 0x21, 0x35, 0x93, 0x8e, 0xda, 0xf0, 0x12, 0x82, 0x45, 0x1d, 0xb5, 0xc2, 0x7d, 0x6a, 0x27, 0xf9, 0xb9, 0xc9, 0x9a, 0x09, 0x78, 0x4d, 0xe4, 0x72, 0xa6, 0x06, 0xbf, 0x8b, 0x62, 0x66, 0xdd, 0x30, 0xfd, 0xe2, 0x98, 0x25, 0xb3, 0x10, 0x91, 0x22, 0x88, 0x36, 0xd0, 0x94, 0xce, 0x8f, 0x96, 0xdb, 0xbd, 0xf1, 0xd2, 0x13, 0x5c, 0x83, 0x38, 0x46, 0x40, 0x1e, 0x42, 0xb6, 0xa3, 0xc3, 0x48, 0x7e, 0x6e, 0x6b, 0x3a, 0x28, 0x54, 0xfa, 0x85, 0xba, 0x3d, 0xca, 0x5e, 0x9b, 0x9f, 0x0a, 0x15, 0x79, 0x2b, 0x4e, 0xd4, 0xe5, 0xac, 0x73, 0xf3, 0xa7, 0x57, 0x07, 0x70, 0xc0, 0xf7, 0x8c, 0x80, 0x63, 0x0d, 0x67, 0x4a, 0xde, 0xed, 0x31, 0xc5, 0xfe, 0x18, 0xe3, 0xa5, 0x99, 0x77, 0x26, 0xb8, 0xb4, 0x7c, 0x11, 0x44, 0x92, 0xd9, 0x23, 0x20, 0x89, 0x2e, 0x37, 0x3f, 0xd1, 0x5b, 0x95, 0xbc, 0xcf, 0xcd, 0x90, 0x87, 0x97, 0xb2, 0xdc, 0xfc, 0xbe, 0x61, 0xf2, 0x56, 0xd3, 0xab, 0x14, 0x2a, 0x5d, 0x9e, 0x84, 0x3c, 0x39, 0x53, 0x47, 0x6d, 0x41, 0xa2, 0x1f, 0x2d, 0x43, 0xd8, 0xb7, 0x7b, 0xa4, 0x76, 0xc4, 0x17, 0x49, 0xec, 0x7f, 0x0c, 0x6f, 0xf6, 0x6c, 0xa1, 0x3b, 0x52, 0x29, 0x9d, 0x55, 0xaa, 0xfb, 0x60, 0x86, 0xb1, 0xbb, 0xcc, 0x3e, 0x5a, 0xcb, 0x59, 0x5f, 0xb0, 0x9c, 0xa9, 0xa0, 0x51, 0x0b, 0xf5, 0x16, 0xeb, 0x7a, 0x75, 0x2c, 0xd7, 0x4f, 0xae, 0xd5, 0xe9, 0xe6, 0xe7, 0xad, 0xe8, 0x74, 0xd6, 0xf4, 0xea, 0xa8, 0x50, 0x58, 0xaf }; void ec_init_tables(int k, int rows, unsigned char *a, unsigned char *g_tbls) { int i, j; for (i = 0; i < rows; i++) { for (j = 0; j < k; j++) { gf_vect_mul_init(*a++, g_tbls); g_tbls += 32; } } } EXPORT_SYMBOL(ec_init_tables); unsigned char gf_mul(unsigned char a, unsigned char b) { int i; if ((a == 0) || (b == 0)) return 0; i = gflog_base[a] + gflog_base[b]; return gff_base[i > 254 ? i - 255 : i]; } unsigned char gf_inv(unsigned char a) { if (a == 0) return 0; return gff_base[255 - gflog_base[a]]; } void gf_gen_cauchy1_matrix(unsigned char *a, int m, int k) { int i, j; unsigned char *p; /* Identity matrix in high position */ memset(a, 0, k * m); for (i = 0; i < k; i++) a[k * i + i] = 1; /* For the rest choose 1/(i + j) | i != j */ p = &a[k * k]; for (i = k; i < m; i++) for (j = 0; j < k; j++) *p++ = gf_inv(i ^ j); } EXPORT_SYMBOL(gf_gen_cauchy1_matrix); int gf_invert_matrix(unsigned char *in_mat, unsigned char *out_mat, const int n) { int i, j, k; unsigned char temp; /* Set out_mat[] to the identity matrix */ for (i = 0; i < n * n; i++) /* memset(out_mat, 0, n*n) */ out_mat[i] = 0; for (i = 0; i < n; i++) out_mat[i * n + i] = 1; /* Inverse */ for (i = 0; i < n; i++) { /* Check for 0 in pivot element */ if (in_mat[i * n + i] == 0) { /* Find a row with non-zero in current column and swap */ for (j = i + 1; j < n; j++) if (in_mat[j * n + i]) break; if (j == n) /* Couldn't find means it's singular */ return -1; for (k = 0; k < n; k++) { /* Swap rows i,j */ temp = in_mat[i * n + k]; in_mat[i * n + k] = in_mat[j * n + k]; in_mat[j * n + k] = temp; temp = out_mat[i * n + k]; out_mat[i * n + k] = out_mat[j * n + k]; out_mat[j * n + k] = temp; } } temp = gf_inv(in_mat[i * n + i]); /* 1/pivot */ for (j = 0; j < n; j++) { /* Scale row i by 1/pivot */ in_mat[i * n + j] = gf_mul(in_mat[i * n + j], temp); out_mat[i * n + j] = gf_mul(out_mat[i * n + j], temp); } for (j = 0; j < n; j++) { if (j == i) continue; temp = in_mat[j * n + i]; for (k = 0; k < n; k++) { out_mat[j * n + k] ^= gf_mul(temp, out_mat[i * n + k]); in_mat[j * n + k] ^= gf_mul(temp, in_mat[i * n + k]); } } } return 0; } EXPORT_SYMBOL(gf_invert_matrix); /* Calculates const table gftbl in GF(2^8) from single input A * gftbl(A) = {A{00}, A{01}, A{02}, ... , A{0f} }, {A{00}, A{10}, A{20}, ... , * A{f0} } */ void gf_vect_mul_init(unsigned char c, unsigned char *tbl) { unsigned char c2 = (c << 1) ^ ((c & 0x80) ? 0x1d : 0); /* Mult by * GF{2} */ unsigned char c4 = (c2 << 1) ^ ((c2 & 0x80) ? 0x1d : 0); /* Mult by * GF{2} */ unsigned char c8 = (c4 << 1) ^ ((c4 & 0x80) ? 0x1d : 0); /* Mult by * GF{2} */ #if BITS_PER_LONG == 64 unsigned long long v1, v2, v4, v8, *t; unsigned long long v10, v20, v40, v80; unsigned char c17, c18, c20, c24; t = (unsigned long long *)tbl; v1 = c * 0x0100010001000100ull; v2 = c2 * 0x0101000001010000ull; v4 = c4 * 0x0101010100000000ull; v8 = c8 * 0x0101010101010101ull; v4 = v1 ^ v2 ^ v4; t[0] = v4; t[1] = v8 ^ v4; c17 = (c8 << 1) ^ ((c8 & 0x80) ? 0x1d : 0); //Mult by GF{2} c18 = (c17 << 1) ^ ((c17 & 0x80) ? 0x1d : 0); //Mult by GF{2} c20 = (c18 << 1) ^ ((c18 & 0x80) ? 0x1d : 0); //Mult by GF{2} c24 = (c20 << 1) ^ ((c20 & 0x80) ? 0x1d : 0); //Mult by GF{2} v10 = c17 * 0x0100010001000100ull; v20 = c18 * 0x0101000001010000ull; v40 = c20 * 0x0101010100000000ull; v80 = c24 * 0x0101010101010101ull; v40 = v10 ^ v20 ^ v40; t[2] = v40; t[3] = v80 ^ v40; #else /* 32-bit or other */ unsigned char c3, c5, c6, c7, c9, c10, c11, c12, c13, c14, c15; unsigned char c17, c18, c19, c20, c21, c22, c23, c24, c25, c26; unsigned char c27, c28, c29, c30, c31; c3 = c2 ^ c; c5 = c4 ^ c; c6 = c4 ^ c2; c7 = c4 ^ c3; c9 = c8 ^ c; c10 = c8 ^ c2; c11 = c8 ^ c3; c12 = c8 ^ c4; c13 = c8 ^ c5; c14 = c8 ^ c6; c15 = c8 ^ c7; tbl[0] = 0; tbl[1] = c; tbl[2] = c2; tbl[3] = c3; tbl[4] = c4; tbl[5] = c5; tbl[6] = c6; tbl[7] = c7; tbl[8] = c8; tbl[9] = c9; tbl[10] = c10; tbl[11] = c11; tbl[12] = c12; tbl[13] = c13; tbl[14] = c14; tbl[15] = c15; c17 = (c8 << 1) ^ ((c8 & 0x80) ? 0x1d : 0); /* Mult by GF{2} */ c18 = (c17 << 1) ^ ((c17 & 0x80) ? 0x1d : 0); /* Mult by GF{2} */ c19 = c18 ^ c17; c20 = (c18 << 1) ^ ((c18 & 0x80) ? 0x1d : 0); /* Mult by GF{2} */ c21 = c20 ^ c17; c22 = c20 ^ c18; c23 = c20 ^ c19; c24 = (c20 << 1) ^ ((c20 & 0x80) ? 0x1d : 0); /* Mult by GF{2} */ c25 = c24 ^ c17; c26 = c24 ^ c18; c27 = c24 ^ c19; c28 = c24 ^ c20; c29 = c24 ^ c21; c30 = c24 ^ c22; c31 = c24 ^ c23; tbl[16] = 0; tbl[17] = c17; tbl[18] = c18; tbl[19] = c19; tbl[20] = c20; tbl[21] = c21; tbl[22] = c22; tbl[23] = c23; tbl[24] = c24; tbl[25] = c25; tbl[26] = c26; tbl[27] = c27; tbl[28] = c28; tbl[29] = c29; tbl[30] = c30; tbl[31] = c31; #endif /* BITS_PER_LONG == 64 */ } void ec_encode_data(int len, int srcs, int dests, unsigned char *v, unsigned char **src, unsigned char **dest) { int i, j, l; unsigned char s; for (l = 0; l < dests; l++) { for (i = 0; i < len; i++) { s = 0; for (j = 0; j < srcs; j++) s ^= gf_mul(src[j][i], v[j * 32 + l * srcs * 32 + 1]); dest[l][i] = s; } } } EXPORT_SYMBOL(ec_encode_data); static int __init ec_init(void) { return 0; } static void __exit ec_exit(void) { } MODULE_AUTHOR("Intel Corporation"); MODULE_DESCRIPTION("M to N erasure code handling"); MODULE_VERSION("1.0.0"); MODULE_LICENSE("Dual BSD/GPL"); module_init(ec_init); module_exit(ec_exit);