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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 #include // for memset #include "ec-code.h" #include "ec-base.h" // for GF tables #include "ec-ctypes.h" uint8_t gf_mul(uint8_t a, uint8_t b) { #ifndef GF_LARGE_TABLES int i; if ((a == 0) || (b == 0)) return 0; return gff_base[(i = gflog_base[a] + gflog_base[b]) > 254 ? i - 255 : i]; #else return gf_mul_table_base[b * 256 + a]; #endif } uint8_t gf_inv(uint8_t a) { #ifndef GF_LARGE_TABLES if (a == 0) return 0; return gff_base[255 - gflog_base[a]]; #else return gf_inv_table_base[a]; #endif } void gf_gen_rs_matrix(uint8_t *a, int m, int k) { int i, j; uint8_t p, gen = 1; memset(a, 0, k * m); for (i = 0; i < k; i++) a[k * i + i] = 1; for (i = k; i < m; i++) { p = 1; for (j = 0; j < k; j++) { a[k * i + j] = p; p = gf_mul(p, gen); } gen = gf_mul(gen, 2); } } void gf_gen_cauchy1_matrix(uint8_t *a, int m, int k) { int i, j; uint8_t *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); } int gf_invert_matrix(uint8_t *in_mat, uint8_t *out_mat, const int n) { int i, j, k; uint8_t 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; } // 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(uint8_t c, uint8_t *tbl) { uint8_t c2 = (c << 1) ^ ((c & 0x80) ? 0x1d : 0); //Mult by GF{2} uint8_t c4 = (c2 << 1) ^ ((c2 & 0x80) ? 0x1d : 0); //Mult by GF{2} uint8_t c8 = (c4 << 1) ^ ((c4 & 0x80) ? 0x1d : 0); //Mult by GF{2} #if __WORDSIZE == 64 || _WIN64 || __x86_64__ unsigned long long v1, v2, v4, v8, *t; unsigned long long v10, v20, v40, v80; uint8_t 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 uint8_t c3, c5, c6, c7, c9, c10, c11, c12, c13, c14, c15; uint8_t c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, 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 //__WORDSIZE == 64 || _WIN64 || __x86_64__ } void gf_vect_dot_prod_base(int len, int vlen, uint8_t *v, uint8_t **src, uint8_t *dest) { int i, j; uint8_t s; for (i = 0; i < len; i++) { s = 0; for (j = 0; j < vlen; j++) s ^= gf_mul(src[j][i], v[j * 32 + 1]); dest[i] = s; } } void ec_encode_data_base(int len, int srcs, int dests, uint8_t *v, uint8_t **src, uint8_t **dest) { int i, j, l; uint8_t 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; } } } void gf_vect_mul_base(int len, uint8_t *a, uint8_t *src, uint8_t *dest) { //2nd element of table array is ref value used to fill it in uint8_t c = a[1]; while (len-- > 0) *dest++ = gf_mul(c, *src++); } struct slver { UINT16 snum; UINT8 ver; UINT8 core; }; // Version info struct slver gf_vect_mul_init_slver_00020035; struct slver gf_vect_mul_init_slver = { 0x0035, 0x02, 0x00 }; struct slver ec_encode_data_base_slver_00010135; struct slver ec_encode_data_base_slver = { 0x0135, 0x01, 0x00 }; struct slver gf_vect_mul_base_slver_00010136; struct slver gf_vect_mul_base_slver = { 0x0136, 0x01, 0x00 }; struct slver gf_vect_dot_prod_base_slver_00010137; struct slver gf_vect_dot_prod_base_slver = { 0x0137, 0x01, 0x00 };