From 9f4ab202d77688fb56fffc1e3245613790489310 Mon Sep 17 00:00:00 2001 From: Jack Lloyd Date: Thu, 2 Nov 2017 19:29:29 -0400 Subject: Add a zfec-compatible forward error correction implementation Based on https://github.com/randombit/fecpp --- src/lib/misc/zfec/info.txt | 7 + src/lib/misc/zfec/zfec.cpp | 596 +++++++++++++++++++++++++++ src/lib/misc/zfec/zfec.h | 82 ++++ src/lib/misc/zfec/zfec_sse2/info.txt | 13 + src/lib/misc/zfec/zfec_sse2/zfec_sse2.cpp | 94 +++++ src/lib/misc/zfec/zfec_vperm/info.txt | 29 ++ src/lib/misc/zfec/zfec_vperm/zfec_vperm.cpp | 605 ++++++++++++++++++++++++++++ 7 files changed, 1426 insertions(+) create mode 100644 src/lib/misc/zfec/info.txt create mode 100644 src/lib/misc/zfec/zfec.cpp create mode 100644 src/lib/misc/zfec/zfec.h create mode 100644 src/lib/misc/zfec/zfec_sse2/info.txt create mode 100644 src/lib/misc/zfec/zfec_sse2/zfec_sse2.cpp create mode 100644 src/lib/misc/zfec/zfec_vperm/info.txt create mode 100644 src/lib/misc/zfec/zfec_vperm/zfec_vperm.cpp (limited to 'src/lib/misc/zfec') diff --git a/src/lib/misc/zfec/info.txt b/src/lib/misc/zfec/info.txt new file mode 100644 index 000000000..be9d27543 --- /dev/null +++ b/src/lib/misc/zfec/info.txt @@ -0,0 +1,7 @@ + +ZFEC -> 20211211 + + + +zfec.h + diff --git a/src/lib/misc/zfec/zfec.cpp b/src/lib/misc/zfec/zfec.cpp new file mode 100644 index 000000000..4a42963e5 --- /dev/null +++ b/src/lib/misc/zfec/zfec.cpp @@ -0,0 +1,596 @@ +/* +* Forward error correction based on Vandermonde matrices +* +* (C) 1997-1998 Luigi Rizzo (luigi@iet.unipi.it) +* (C) 2009,2010,2021 Jack Lloyd +* (C) 2011 Billy Brumley (billy.brumley@aalto.fi) +* +* Botan is released under the Simplified BSD License (see license.txt) +*/ + +#include +#include +#include +#include +#include +#include + +namespace Botan { + +namespace { + +/* Tables for arithetic in GF(2^8) using 1+x^2+x^3+x^4+x^8 +* +* See Lin & Costello, Appendix A, and Lee & Messerschmitt, p. 453. +* +* Generate GF(2**m) from the irreducible polynomial p(X) in p[0]..p[m] +* Lookup tables: +* index->polynomial form gf_exp[] contains j= \alpha^i; +* polynomial form -> index form gf_log[ j = \alpha^i ] = i +* \alpha=x is the primitive element of GF(2^m) +*/ +alignas(256) const uint8_t GF_EXP[255] = { + 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, +}; + +alignas(256) const uint8_t GF_LOG[256] = { + 0xFF, 0x00, 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 }; + +alignas(256) const uint8_t GF_INVERSE[256] = { + 0x00, 0x01, 0x8E, 0xF4, 0x47, 0xA7, 0x7A, 0xBA, 0xAD, 0x9D, 0xDD, + 0x98, 0x3D, 0xAA, 0x5D, 0x96, 0xD8, 0x72, 0xC0, 0x58, 0xE0, 0x3E, + 0x4C, 0x66, 0x90, 0xDE, 0x55, 0x80, 0xA0, 0x83, 0x4B, 0x2A, 0x6C, + 0xED, 0x39, 0x51, 0x60, 0x56, 0x2C, 0x8A, 0x70, 0xD0, 0x1F, 0x4A, + 0x26, 0x8B, 0x33, 0x6E, 0x48, 0x89, 0x6F, 0x2E, 0xA4, 0xC3, 0x40, + 0x5E, 0x50, 0x22, 0xCF, 0xA9, 0xAB, 0x0C, 0x15, 0xE1, 0x36, 0x5F, + 0xF8, 0xD5, 0x92, 0x4E, 0xA6, 0x04, 0x30, 0x88, 0x2B, 0x1E, 0x16, + 0x67, 0x45, 0x93, 0x38, 0x23, 0x68, 0x8C, 0x81, 0x1A, 0x25, 0x61, + 0x13, 0xC1, 0xCB, 0x63, 0x97, 0x0E, 0x37, 0x41, 0x24, 0x57, 0xCA, + 0x5B, 0xB9, 0xC4, 0x17, 0x4D, 0x52, 0x8D, 0xEF, 0xB3, 0x20, 0xEC, + 0x2F, 0x32, 0x28, 0xD1, 0x11, 0xD9, 0xE9, 0xFB, 0xDA, 0x79, 0xDB, + 0x77, 0x06, 0xBB, 0x84, 0xCD, 0xFE, 0xFC, 0x1B, 0x54, 0xA1, 0x1D, + 0x7C, 0xCC, 0xE4, 0xB0, 0x49, 0x31, 0x27, 0x2D, 0x53, 0x69, 0x02, + 0xF5, 0x18, 0xDF, 0x44, 0x4F, 0x9B, 0xBC, 0x0F, 0x5C, 0x0B, 0xDC, + 0xBD, 0x94, 0xAC, 0x09, 0xC7, 0xA2, 0x1C, 0x82, 0x9F, 0xC6, 0x34, + 0xC2, 0x46, 0x05, 0xCE, 0x3B, 0x0D, 0x3C, 0x9C, 0x08, 0xBE, 0xB7, + 0x87, 0xE5, 0xEE, 0x6B, 0xEB, 0xF2, 0xBF, 0xAF, 0xC5, 0x64, 0x07, + 0x7B, 0x95, 0x9A, 0xAE, 0xB6, 0x12, 0x59, 0xA5, 0x35, 0x65, 0xB8, + 0xA3, 0x9E, 0xD2, 0xF7, 0x62, 0x5A, 0x85, 0x7D, 0xA8, 0x3A, 0x29, + 0x71, 0xC8, 0xF6, 0xF9, 0x43, 0xD7, 0xD6, 0x10, 0x73, 0x76, 0x78, + 0x99, 0x0A, 0x19, 0x91, 0x14, 0x3F, 0xE6, 0xF0, 0x86, 0xB1, 0xE2, + 0xF1, 0xFA, 0x74, 0xF3, 0xB4, 0x6D, 0x21, 0xB2, 0x6A, 0xE3, 0xE7, + 0xB5, 0xEA, 0x03, 0x8F, 0xD3, 0xC9, 0x42, 0xD4, 0xE8, 0x75, 0x7F, + 0xFF, 0x7E, 0xFD }; + +const uint8_t* GF_MUL_TABLE(uint8_t y) + { + class GF_Table final + { + public: + GF_Table() + { + m_table.resize(256 * 256); + + for(size_t i = 1; i != 256; ++i) + { + for(size_t j = 1; j != 256; ++j) + { + m_table[256*i + j] = GF_EXP[(GF_LOG[i] + GF_LOG[j]) % 255]; + } + } + } + + const uint8_t* ptr(uint8_t y) const + { + return &m_table[256*y]; + } + private: + std::vector m_table; + }; + + static GF_Table table; + return table.ptr(y); + } + +/* +* invert_matrix() takes a K*K matrix and produces its inverse +* (Gauss-Jordan algorithm, adapted from Numerical Recipes in C) +*/ +void invert_matrix(uint8_t matrix[], size_t K) + { + class pivot_searcher + { + public: + pivot_searcher(size_t K) : ipiv(K) {} + + std::pair operator()(size_t col, const uint8_t* matrix) + { + const size_t K = ipiv.size(); + + if(ipiv[col] == false && matrix[col*K + col] != 0) + { + ipiv[col] = true; + return std::make_pair(col, col); + } + + for(size_t row = 0; row != K; ++row) + { + if(ipiv[row]) + continue; + + for(size_t i = 0; i != K; ++i) + { + if(ipiv[i] == false && matrix[row*K + i] != 0) + { + ipiv[i] = true; + return std::make_pair(row, i); + } + } + } + + throw Invalid_Argument("ZFEC: pivot not found in invert_matrix"); + } + + private: + // Marks elements already used as pivots + std::vector ipiv; + }; + + pivot_searcher pivot_search(K); + std::vector indxc(K); + std::vector indxr(K); + std::vector id_row(K); + + for(size_t col = 0; col != K; ++col) + { + /* + * Zeroing column 'col', look for a non-zero element. + * First try on the diagonal, if it fails, look elsewhere. + */ + + std::pair icolrow = pivot_search(col, matrix); + + size_t icol = icolrow.first; + size_t irow = icolrow.second; + + /* + * swap rows irow and icol, so afterwards the diagonal + * element will be correct. Rarely done, not worth + * optimizing. + */ + if(irow != icol) + { + for(size_t i = 0; i != K; ++i) + std::swap(matrix[irow*K + i], matrix[icol*K + i]); + } + + indxr[col] = irow; + indxc[col] = icol; + uint8_t* pivot_row = &matrix[icol*K]; + uint8_t c = pivot_row[icol]; + + if(c == 0) + throw Invalid_Argument("ZFEC: singlar matrix"); + + if(c != 1) + { + pivot_row[icol] = 1; + + const uint8_t* mul_c = GF_MUL_TABLE(GF_INVERSE[c]); + + for(size_t i = 0; i != K; ++i) + pivot_row[i] = mul_c[pivot_row[i]]; + } + + /* + * From all rows, remove multiples of the selected row to zero + * the relevant entry (in fact, the entry is not zero because we + * know it must be zero). Here, if we know that the pivot_row is + * the identity, we can optimize the addmul. + */ + id_row[icol] = 1; + if(std::memcmp(pivot_row, &id_row[0], K) != 0) + { + uint8_t* p = matrix; + + for(size_t i = 0; i != K; ++i) + { + if(i != icol) + { + c = p[icol]; + p[icol] = 0; + + const uint8_t* GF_MUL_C = GF_MUL_TABLE(c); + + // This is equivalent to addmul() + for(size_t j = 0; j != K; ++j) + p[j] ^= GF_MUL_C[pivot_row[j]]; + } + p += K; + } + } + id_row[icol] = 0; + } /* done all columns */ + + for(size_t i = 0; i != K; ++i) + { + if(indxr[i] != indxc[i]) + { + for(size_t row = 0; row != K; ++row) + std::swap(matrix[row*K + indxr[i]], matrix[row*K + indxc[i]]); + } + } + } + +/* +* Generate and invert a Vandermonde matrix. +* +* Only uses the second column of the matrix, containing the p_i's +* (contents - 0, GF_EXP[0...n]) +* +* Algorithm borrowed from "Numerical recipes in C", section 2.8, but +* largely revised for my purposes. +* +* p = coefficients of the matrix (p_i) +* q = values of the polynomial (known) +*/ +void create_inverted_vdm(uint8_t vdm[], size_t K) + { + if(K == 0) + { + return; + } + + if(K == 1) /* degenerate case, matrix must be p^0 = 1 */ + { + vdm[0] = 1; + return; + } + + /* + * c holds the coefficient of P(x) = Prod (x - p_i), i=0..K-1 + * b holds the coefficient for the matrix inversion + */ + std::vector b(K); + std::vector c(K); + + /* + * construct coeffs. recursively. We know c[K] = 1 (implicit) + * and start P_0 = x - p_0, then at each stage multiply by + * x - p_i generating P_i = x P_{i-1} - p_i P_{i-1} + * After K steps we are done. + */ + c[K-1] = 0; /* really -p(0), but x = -x in GF(2^m) */ + for(size_t i = 1; i < K; ++i) + { + const uint8_t* mul_p_i = GF_MUL_TABLE(GF_EXP[i]); + + for(size_t j = K-1 - (i - 1); j < K-1; ++j) + c[j] ^= mul_p_i[c[j+1]]; + c[K-1] ^= GF_EXP[i]; + } + + for(size_t row = 0; row < K; ++row) + { + // synthetic division etc. + const uint8_t* mul_p_row = GF_MUL_TABLE(row == 0 ? 0 : GF_EXP[row]); + + uint8_t t = 1; + b[K-1] = 1; /* this is in fact c[K] */ + for(size_t i = K - 1; i > 0; i--) + { + b[i-1] = c[i] ^ mul_p_row[b[i]]; + t = b[i-1] ^ mul_p_row[t]; + } + + const uint8_t* mul_t_inv = GF_MUL_TABLE(GF_INVERSE[t]); + for(size_t col = 0; col != K; ++col) + vdm[col*K + row] = mul_t_inv[b[col]]; + } + } + +} + +/* +* addmul() computes z[] = z[] + x[] * y +*/ +void ZFEC::addmul(uint8_t z[], const uint8_t x[], uint8_t y, size_t size) + { + if(y == 0) + return; + + const uint8_t* GF_MUL_Y = GF_MUL_TABLE(y); + + // first align z to 16 bytes + while(size > 0 && reinterpret_cast(z) % 16) + { + z[0] ^= GF_MUL_Y[x[0]]; + ++z; + ++x; + size--; + } + +#if defined(BOTAN_HAS_ZFEC_VPERM) + if(size >= 16 && CPUID::has_vperm()) + { + const size_t consumed = addmul_vperm(z, x, y, size); + z += consumed; + x += consumed; + size -= consumed; + } +#endif + +#if defined(BOTAN_HAS_ZFEC_SSE2) + if(size >= 64 && CPUID::has_sse2()) + { + const size_t consumed = addmul_sse2(z, x, y, size); + z += consumed; + x += consumed; + size -= consumed; + } +#endif + + while(size >= 16) + { + z[0] ^= GF_MUL_Y[x[0]]; + z[1] ^= GF_MUL_Y[x[1]]; + z[2] ^= GF_MUL_Y[x[2]]; + z[3] ^= GF_MUL_Y[x[3]]; + z[4] ^= GF_MUL_Y[x[4]]; + z[5] ^= GF_MUL_Y[x[5]]; + z[6] ^= GF_MUL_Y[x[6]]; + z[7] ^= GF_MUL_Y[x[7]]; + z[8] ^= GF_MUL_Y[x[8]]; + z[9] ^= GF_MUL_Y[x[9]]; + z[10] ^= GF_MUL_Y[x[10]]; + z[11] ^= GF_MUL_Y[x[11]]; + z[12] ^= GF_MUL_Y[x[12]]; + z[13] ^= GF_MUL_Y[x[13]]; + z[14] ^= GF_MUL_Y[x[14]]; + z[15] ^= GF_MUL_Y[x[15]]; + + x += 16; + z += 16; + size -= 16; + } + + // Clean up the trailing pieces + for(size_t i = 0; i != size; ++i) + z[i] ^= GF_MUL_Y[x[i]]; + } + +/* +* This section contains the proper FEC encoding/decoding routines. +* The encoding matrix is computed starting with a Vandermonde matrix, +* and then transforming it into a systematic matrix. +*/ + +/* +* ZFEC constructor +*/ +ZFEC::ZFEC(size_t K, size_t N) : + m_K(K), m_N(N), m_enc_matrix(N * K) + { + if(m_K == 0 || m_N == 0 || m_K > 256 || m_N > 256 || m_K > N) + throw Invalid_Argument("ZFEC: violated 1 <= K <= N <= 256"); + + std::vector temp_matrix(m_N * m_K); + + /* + * quick code to build systematic matrix: invert the top + * K*K vandermonde matrix, multiply right the bottom n-K rows + * by the inverse, and construct the identity matrix at the top. + */ + create_inverted_vdm(&temp_matrix[0], m_K); + + for(size_t i = m_K*m_K; i != temp_matrix.size(); ++i) + temp_matrix[i] = GF_EXP[((i / m_K) * (i % m_K)) % 255]; + + /* + * the upper part of the encoding matrix is I + */ + for(size_t i = 0; i != m_K; ++i) + m_enc_matrix[i*(m_K+1)] = 1; + + /* + * computes C = AB where A is n*K, B is K*m, C is n*m + */ + for(size_t row = m_K*m_K; row != m_N*m_K; row += m_K) + { + for(size_t col = 0; col != m_K; ++col) + { + const uint8_t* pa = &temp_matrix[row]; + const uint8_t* pb = &temp_matrix[col]; + uint8_t acc = 0; + for(size_t i = 0; i < m_K; i++, pa++, pb += m_K) + acc ^= GF_MUL_TABLE(*pa)[*pb]; + m_enc_matrix[row + col] = acc; + } + } + } + +/* +* ZFEC encoding routine +*/ +void ZFEC::encode( + const uint8_t input[], size_t size, + std::function output_cb) + const + { + if(size % m_K != 0) + throw Invalid_Argument("ZFEC::encode: input must be multiple of K uint8_ts"); + + size_t block_size = size / m_K; + + for(size_t i = 0; i != m_K; ++i) + output_cb(i, m_N, input + i*block_size, block_size); + + for(size_t i = m_K; i != m_N; ++i) + { + std::vector fec_buf(block_size); + + for(size_t j = 0; j != m_K; ++j) + { + addmul(&fec_buf[0], input + j*block_size, + m_enc_matrix[i*m_K+j], block_size); + } + + output_cb(i, m_N, &fec_buf[0], fec_buf.size()); + } + } + +/* +* ZFEC decoding routine +*/ +void ZFEC::decode( + const std::map& shares, + size_t share_size, + std::function output_cb) const + { + /* + Todo: + If shares.size() < K: + signal decoding error for missing shares < K + emit existing shares < K + (ie, partial recovery if possible) + Assert share_size % K == 0 + */ + + if(shares.size() < m_K) + throw Decoding_Error("ZFEC: could not decode, less than K surviving shares"); + + std::vector decoding_matrix(m_K * m_K); + std::vector indexes(m_K); + std::vector sharesv(m_K); + + auto shares_b_iter = shares.begin(); + auto shares_e_iter = shares.rbegin(); + + for(size_t i = 0; i != m_K; ++i) + { + size_t share_id = 0; + const uint8_t* share_data = nullptr; + + if(shares_b_iter->first == i) + { + share_id = shares_b_iter->first; + share_data = shares_b_iter->second; + ++shares_b_iter; + } + else + { + // if share i not found, use the unused one closest to n + share_id = shares_e_iter->first; + share_data = shares_e_iter->second; + ++shares_e_iter; + } + + if(share_id >= m_N) + throw Decoding_Error("ZFEC: invalid share id detected during decode"); + + /* + This is a systematic code (encoding matrix includes K*K identity + matrix), so shares less than K are copies of the input data, + can output_cb directly. Also we know the encoding matrix in those rows + contains I, so we can set the single bit directly without copying + */ + if(share_id < m_K) + { + decoding_matrix[i*(m_K+1)] = 1; + output_cb(share_id, m_K, share_data, share_size); + } + else // will decode after inverting matrix + { + std::memcpy(&decoding_matrix[i*m_K], &m_enc_matrix[share_id*m_K], m_K); + } + + sharesv[i] = share_data; + indexes[i] = share_id; + } + + /* + TODO: if all primary shares were recovered, don't invert the matrix + and return immediately + */ + invert_matrix(&decoding_matrix[0], m_K); + + for(size_t i = 0; i != indexes.size(); ++i) + { + if(indexes[i] >= m_K) + { + std::vector buf(share_size); + for(size_t col = 0; col != m_K; ++col) + { + addmul(&buf[0], sharesv[col], decoding_matrix[i*m_K + col], share_size); + } + output_cb(i, m_K, &buf[0], share_size); + } + } + } + +std::string ZFEC::provider() const + { +#if defined(BOTAN_HAS_ZFEC_VPERM) + if(CPUID::has_vperm()) + { + return "vperm"; + } +#endif + +#if defined(BOTAN_HAS_ZFEC_SSE2) + if(CPUID::has_sse2()) + { + return "sse2"; + } +#endif + + return "base"; + } + +} diff --git a/src/lib/misc/zfec/zfec.h b/src/lib/misc/zfec/zfec.h new file mode 100644 index 000000000..b2faec97f --- /dev/null +++ b/src/lib/misc/zfec/zfec.h @@ -0,0 +1,82 @@ +/* + * Forward error correction based on Vandermonde matrices + * + * (C) 1997-1998 Luigi Rizzo (luigi@iet.unipi.it) + * (C) 2009,2017,2021 Jack Lloyd + * + * Distributed under the terms given in license.txt + */ + +#ifndef BOTAN_ZFEC_H_ +#define BOTAN_ZFEC_H_ + +#include +#include +#include +#include + +namespace Botan { + +/** +* A forward error correction code compatible with the zfec +* library (https://github.com/tahoe-lafs/zfec) +* +* This algorithm is *not constant time* and is likely succeptible to +* side channels. Do not use this class to encode information that +* should be kept secret. (If nothing else, because the first K shares +* are simply the original input!) +*/ +class BOTAN_PUBLIC_API(3,0) ZFEC + { + public: + /** + * FEC constructor + * @param K the number of shares needed for recovery + * @param N the number of shares generated + */ + ZFEC(size_t K, size_t n); + + size_t recovery_threshold() const { return m_K; } + size_t generated_shares() const { return m_N; } + + std::string provider() const; + + /** + * @param input the data to FEC + * @param size the length in bytes of input + * @param output_cb the output callback + */ + void encode( + const uint8_t input[], size_t size, + std::function output_cb) + const; + + /** + * @param shares map of share id to share contents + * @param share_size size in bytes of each share + * @param output_cb the output callback + */ + void decode( + const std::map& shares, + size_t share_size, + std::function output_cb) + const; + + private: + static void addmul(uint8_t z[], const uint8_t x[], uint8_t y, size_t size); + +#if defined(BOTAN_HAS_ZFEC_SSE2) + static size_t addmul_sse2(uint8_t z[], const uint8_t x[], uint8_t y, size_t size); +#endif + +#if defined(BOTAN_HAS_ZFEC_VPERM) + static size_t addmul_vperm(uint8_t z[], const uint8_t x[], uint8_t y, size_t size); +#endif + + const size_t m_K, m_N; + std::vector m_enc_matrix; + }; + +} + +#endif diff --git a/src/lib/misc/zfec/zfec_sse2/info.txt b/src/lib/misc/zfec/zfec_sse2/info.txt new file mode 100644 index 000000000..af706113f --- /dev/null +++ b/src/lib/misc/zfec/zfec_sse2/info.txt @@ -0,0 +1,13 @@ + +ZFEC_SSE2 -> 20211211 + + + +sse2 + + + +gcc +clang +msvc + diff --git a/src/lib/misc/zfec/zfec_sse2/zfec_sse2.cpp b/src/lib/misc/zfec/zfec_sse2/zfec_sse2.cpp new file mode 100644 index 000000000..de399915c --- /dev/null +++ b/src/lib/misc/zfec/zfec_sse2/zfec_sse2.cpp @@ -0,0 +1,94 @@ +/* +* (C) 2009,2010,2021 Jack Lloyd +* +* Botan is released under the Simplified BSD License (see license.txt) +*/ + +#include +#include + +namespace Botan { + +BOTAN_FUNC_ISA("sse2") +size_t ZFEC::addmul_sse2(uint8_t z[], const uint8_t x[], uint8_t y, size_t size) + { + // we assume the caller has aligned z to 16 for us! + + const __m128i polynomial = _mm_set1_epi8(0x1D); + const __m128i zero = _mm_setzero_si128(); + + const size_t orig_size = size; + + // unrolled out to cache line size + while(size >= 64) + { + __m128i x_1 = _mm_loadu_si128(reinterpret_cast(x)); + __m128i x_2 = _mm_loadu_si128(reinterpret_cast(x + 16)); + __m128i x_3 = _mm_loadu_si128(reinterpret_cast(x + 32)); + __m128i x_4 = _mm_loadu_si128(reinterpret_cast(x + 48)); + + __m128i z_1 = _mm_load_si128(reinterpret_cast(z)); + __m128i z_2 = _mm_load_si128(reinterpret_cast(z + 16)); + __m128i z_3 = _mm_load_si128(reinterpret_cast(z + 32)); + __m128i z_4 = _mm_load_si128(reinterpret_cast(z + 48)); + + if(y & 0x01) + { + z_1 = _mm_xor_si128(z_1, x_1); + z_2 = _mm_xor_si128(z_2, x_2); + z_3 = _mm_xor_si128(z_3, x_3); + z_4 = _mm_xor_si128(z_4, x_4); + } + + for(size_t j = 1; j != 8; ++j) + { + /* + * Each byte of each mask is either 0 or the polynomial 0x1D, + * depending on if the high bit of x_i is set or not. + */ + + // flip operation? + __m128i mask_1 = _mm_cmpgt_epi8(zero, x_1); + __m128i mask_2 = _mm_cmpgt_epi8(zero, x_2); + __m128i mask_3 = _mm_cmpgt_epi8(zero, x_3); + __m128i mask_4 = _mm_cmpgt_epi8(zero, x_4); + + // x <<= 1 + x_1 = _mm_add_epi8(x_1, x_1); + x_2 = _mm_add_epi8(x_2, x_2); + x_3 = _mm_add_epi8(x_3, x_3); + x_4 = _mm_add_epi8(x_4, x_4); + + mask_1 = _mm_and_si128(mask_1, polynomial); + mask_2 = _mm_and_si128(mask_2, polynomial); + mask_3 = _mm_and_si128(mask_3, polynomial); + mask_4 = _mm_and_si128(mask_4, polynomial); + + x_1 = _mm_xor_si128(x_1, mask_1); + x_2 = _mm_xor_si128(x_2, mask_2); + x_3 = _mm_xor_si128(x_3, mask_3); + x_4 = _mm_xor_si128(x_4, mask_4); + + if((y >> j) & 1) + { + z_1 = _mm_xor_si128(z_1, x_1); + z_2 = _mm_xor_si128(z_2, x_2); + z_3 = _mm_xor_si128(z_3, x_3); + z_4 = _mm_xor_si128(z_4, x_4); + } + } + + _mm_store_si128(reinterpret_cast<__m128i*>(z ), z_1); + _mm_store_si128(reinterpret_cast<__m128i*>(z + 16), z_2); + _mm_store_si128(reinterpret_cast<__m128i*>(z + 32), z_3); + _mm_store_si128(reinterpret_cast<__m128i*>(z + 48), z_4); + + x += 64; + z += 64; + size -= 64; + } + + return orig_size - size; + } + +} diff --git a/src/lib/misc/zfec/zfec_vperm/info.txt b/src/lib/misc/zfec/zfec_vperm/info.txt new file mode 100644 index 000000000..c0731ca17 --- /dev/null +++ b/src/lib/misc/zfec/zfec_vperm/info.txt @@ -0,0 +1,29 @@ + +ZFEC_VPERM -> 20211211 + + + +x86_32:sse2 +x86_64:sse2 +x86_32:ssse3 +x86_64:ssse3 +arm32:neon +arm64:neon + + + +x86_32 +x86_64 +arm32 +arm64 + + + +simd + + + +gcc +clang +msvc + diff --git a/src/lib/misc/zfec/zfec_vperm/zfec_vperm.cpp b/src/lib/misc/zfec/zfec_vperm/zfec_vperm.cpp new file mode 100644 index 000000000..e420701c0 --- /dev/null +++ b/src/lib/misc/zfec/zfec_vperm/zfec_vperm.cpp @@ -0,0 +1,605 @@ +/* +* (C) 2011 Billy Brumley (billy.brumley@aalto.fi) +* (C) 2021 Jack Lloyd +* +* Botan is released under the Simplified BSD License (see license.txt) +*/ + +#include +#include + +#if defined(BOTAN_SIMD_USE_SSE2) + #include +#endif + +namespace Botan { + +namespace { + +/* + * these tables are for the linear map bx^4 + a -> y(bx^4 + a) + * implemented as two maps: + * a -> y(a) + * b -> y(bx^4) + * and the final output is the sum of these two outputs. + */ +alignas(256) const uint8_t GFTBL[256*32] = { +0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, +0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, +0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, +0x00, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x70, 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0, +0x00, 0x02, 0x04, 0x06, 0x08, 0x0a, 0x0c, 0x0e, 0x10, 0x12, 0x14, 0x16, 0x18, 0x1a, 0x1c, 0x1e, +0x00, 0x20, 0x40, 0x60, 0x80, 0xa0, 0xc0, 0xe0, 0x1d, 0x3d, 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0x6c, +0x00, 0x4b, 0x96, 0xdd, 0x31, 0x7a, 0xa7, 0xec, 0x62, 0x29, 0xf4, 0xbf, 0x53, 0x18, 0xc5, 0x8e }; + +inline SIMD_4x32 BOTAN_FUNC_ISA(BOTAN_VPERM_ISA) table_lookup(SIMD_4x32 a, SIMD_4x32 b) + { +#if defined(BOTAN_SIMD_USE_SSE2) + return SIMD_4x32(_mm_shuffle_epi8(a.raw(), b.raw())); +#elif defined(BOTAN_SIMD_USE_NEON) + const uint8x16_t tbl = vreinterpretq_u8_u32(a.raw()); + const uint8x16_t idx = vreinterpretq_u8_u32(b.raw()); + +#if defined(BOTAN_TARGET_ARCH_IS_ARM32) + const uint8x8x2_t tbl2 = { vget_low_u8(tbl), vget_high_u8(tbl) }; + + return SIMD_4x32(vreinterpretq_u32_u8( + vcombine_u8(vtbl2_u8(tbl2, vget_low_u8(idx)), + vtbl2_u8(tbl2, vget_high_u8(idx))))); + +#else + return SIMD_4x32(vreinterpretq_u32_u8(vqtbl1q_u8(tbl, idx))); +#endif + +#endif + } + +} + +BOTAN_FUNC_ISA(BOTAN_VPERM_ISA) +size_t ZFEC::addmul_vperm(uint8_t z[], const uint8_t x[], uint8_t y, size_t size) + { + // we assume the caller has aligned z to 16 for us! + + const auto mask = SIMD_4x32::splat_u8(0x0F); + + // fetch the lookup tables for the given y + const auto t_lo = SIMD_4x32::load_le(GFTBL + 32*y); + const auto t_hi = SIMD_4x32::load_le(GFTBL + 32*y + 16); + + const size_t orig_size = size; + + while(size >= 16) + { + const auto x_1 = SIMD_4x32::load_le(x); + auto z_1 = SIMD_4x32::load_le(z); + + // mask to get LO nibble for LO LUT input + const auto x_lo = x_1 & mask; + // mask to get HI nibble for HI LUT input + const auto x_hi = x_1.shr<4>() & mask; + + // 16x parallel lookups + const auto r_lo = table_lookup(t_lo, x_lo); + const auto r_hi = table_lookup(t_hi, x_hi); + + // sum the outputs. + z_1 ^= r_lo; + z_1 ^= r_hi; + + z_1.store_le(z); + + x += 16; + z += 16; + size -= 16; + } + + return orig_size - size; + } + +} -- cgit v1.2.3