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+/**********************************************************************
+ 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 <limits.h>
+#include <string.h> // for memset
+#include "erasure_code.h"
+#include "ec_base.h" // for GF tables
+
+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;
+ }
+ }
+}
+
+unsigned char gf_mul(unsigned char a, unsigned char 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
+}
+
+unsigned char gf_inv(unsigned char 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(unsigned char *a, int m, int k)
+{
+ int i, j;
+ unsigned char 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(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);
+
+}
+
+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;
+}
+
+// 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 __WORDSIZE == 64 || _WIN64 || __x86_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, 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, unsigned char *v,
+ unsigned char **src, unsigned char *dest)
+{
+ int i, j;
+ unsigned char 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 gf_vect_mad_base(int len, int vec, int vec_i,
+ unsigned char *v, unsigned char *src, unsigned char *dest)
+{
+ int i;
+ unsigned char s;
+ for (i = 0; i < len; i++) {
+ s = dest[i];
+ s ^= gf_mul(src[i], v[vec_i * 32 + 1]);
+ dest[i] = s;
+ }
+}
+
+void ec_encode_data_base(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;
+ }
+ }
+}
+
+void ec_encode_data_update_base(int len, int k, int rows, int vec_i, unsigned char *v,
+ unsigned char *data, unsigned char **dest)
+{
+ int i, l;
+ unsigned char s;
+
+ for (l = 0; l < rows; l++) {
+ for (i = 0; i < len; i++) {
+ s = dest[l][i];
+ s ^= gf_mul(data[i], v[vec_i * 32 + l * k * 32 + 1]);
+
+ dest[l][i] = s;
+ }
+ }
+}
+
+void gf_vect_mul_base(int len, unsigned char *a, unsigned char *src, unsigned char *dest)
+{
+ //2nd element of table array is ref value used to fill it in
+ unsigned char c = a[1];
+ while (len-- > 0)
+ *dest++ = gf_mul(c, *src++);
+}
+
+struct slver {
+ unsigned short snum;
+ unsigned char ver;
+ unsigned char 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 };
+
+struct slver gf_mul_slver_00000214;
+struct slver gf_mul_slver = { 0x0214, 0x00, 0x00 };
+
+struct slver gf_invert_matrix_slver_00000215;
+struct slver gf_invert_matrix_slver = { 0x0215, 0x00, 0x00 };
+
+struct slver gf_gen_rs_matrix_slver_00000216;
+struct slver gf_gen_rs_matrix_slver = { 0x0216, 0x00, 0x00 };
+
+struct slver gf_gen_cauchy1_matrix_slver_00000217;
+struct slver gf_gen_cauchy1_matrix_slver = { 0x0217, 0x00, 0x00 };