/* * Derived from poly1305-donna-64.h by Andrew Moon * in https://github.com/floodyberry/poly1305-donna * * (C) 2014 Andrew Moon * (C) 2014 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include namespace Botan { BOTAN_REGISTER_MAC_NOARGS(Poly1305); namespace { void poly1305_init(secure_vector& X, const byte key[32]) { /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */ const u64bit t0 = load_le(key, 0); const u64bit t1 = load_le(key, 1); X[0] = ( t0 ) & 0xffc0fffffff; X[1] = ((t0 >> 44) | (t1 << 20)) & 0xfffffc0ffff; X[2] = ((t1 >> 24) ) & 0x00ffffffc0f; /* h = 0 */ X[3] = 0; X[4] = 0; X[5] = 0; /* save pad for later */ X[6] = load_le(key, 2); X[7] = load_le(key, 3); } void poly1305_blocks(secure_vector& X, const byte *m, size_t blocks, bool is_final = false) { #if !defined(BOTAN_TARGET_HAS_NATIVE_UINT128) typedef donna128 uint128_t; #endif const u64bit hibit = is_final ? 0 : (static_cast(1) << 40); /* 1 << 128 */ const u64bit r0 = X[0]; const u64bit r1 = X[1]; const u64bit r2 = X[2]; u64bit h0 = X[3+0]; u64bit h1 = X[3+1]; u64bit h2 = X[3+2]; const u64bit s1 = r1 * (5 << 2); const u64bit s2 = r2 * (5 << 2); while(blocks--) { /* h += m[i] */ const u64bit t0 = load_le(m, 0); const u64bit t1 = load_le(m, 1); h0 += (( t0 ) & 0xfffffffffff); h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff); h2 += (((t1 >> 24) ) & 0x3ffffffffff) | hibit; /* h *= r */ uint128_t d0 = uint128_t(h0) * r0 + uint128_t(h1) * s2 + uint128_t(h2) * s1; uint128_t d1 = uint128_t(h0) * r1 + uint128_t(h1) * r0 + uint128_t(h2) * s2; uint128_t d2 = uint128_t(h0) * r2 + uint128_t(h1) * r1 + uint128_t(h2) * r0; /* (partial) h %= p */ u64bit c = carry_shift(d0, 44); h0 = d0 & 0xfffffffffff; d1 += c; c = carry_shift(d1, 44); h1 = d1 & 0xfffffffffff; d2 += c; c = carry_shift(d2, 42); h2 = d2 & 0x3ffffffffff; h0 += c * 5; c = carry_shift(h0, 44); h0 = h0 & 0xfffffffffff; h1 += c; m += 16; } X[3+0] = h0; X[3+1] = h1; X[3+2] = h2; } void poly1305_finish(secure_vector& X, byte mac[16]) { /* fully carry h */ u64bit h0 = X[3+0]; u64bit h1 = X[3+1]; u64bit h2 = X[3+2]; u64bit c; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff; h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += c; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += c; c = (h2 >> 42); h2 &= 0x3ffffffffff; h0 += c * 5; c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += c; /* compute h + -p */ u64bit g0 = h0 + 5; c = (g0 >> 44); g0 &= 0xfffffffffff; u64bit g1 = h1 + c; c = (g1 >> 44); g1 &= 0xfffffffffff; u64bit g2 = h2 + c - (static_cast(1) << 42); /* select h if h < p, or h + -p if h >= p */ c = (g2 >> ((sizeof(u64bit) * 8) - 1)) - 1; g0 &= c; g1 &= c; g2 &= c; c = ~c; h0 = (h0 & c) | g0; h1 = (h1 & c) | g1; h2 = (h2 & c) | g2; /* h = (h + pad) */ const u64bit t0 = X[6]; const u64bit t1 = X[7]; h0 += (( t0 ) & 0xfffffffffff) ; c = (h0 >> 44); h0 &= 0xfffffffffff; h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff) + c; c = (h1 >> 44); h1 &= 0xfffffffffff; h2 += (((t1 >> 24) ) & 0x3ffffffffff) + c; h2 &= 0x3ffffffffff; /* mac = h % (2^128) */ h0 = ((h0 ) | (h1 << 44)); h1 = ((h1 >> 20) | (h2 << 24)); store_le(mac, h0, h1); /* zero out the state */ clear_mem(X.data(), X.size()); } } void Poly1305::clear() { zap(m_poly); zap(m_buf); m_buf_pos = 0; } void Poly1305::key_schedule(const byte key[], size_t) { m_buf_pos = 0; m_buf.resize(16); m_poly.resize(8); poly1305_init(m_poly, key); } void Poly1305::add_data(const byte input[], size_t length) { BOTAN_ASSERT_EQUAL(m_poly.size(), 8, "Initialized"); if(m_buf_pos) { buffer_insert(m_buf, m_buf_pos, input, length); if(m_buf_pos + length >= m_buf.size()) { poly1305_blocks(m_poly, m_buf.data(), 1); input += (m_buf.size() - m_buf_pos); length -= (m_buf.size() - m_buf_pos); m_buf_pos = 0; } } const size_t full_blocks = length / m_buf.size(); const size_t remaining = length % m_buf.size(); if(full_blocks) poly1305_blocks(m_poly, input, full_blocks); buffer_insert(m_buf, m_buf_pos, input + full_blocks * m_buf.size(), remaining); m_buf_pos += remaining; } void Poly1305::final_result(byte out[]) { BOTAN_ASSERT_EQUAL(m_poly.size(), 8, "Initialized"); if(m_buf_pos != 0) { m_buf[m_buf_pos] = 1; const auto len = m_buf.size() - m_buf_pos - 1; if (len > 0) { clear_mem(&m_buf[m_buf_pos+1], len); } poly1305_blocks(m_poly, m_buf.data(), 1, true); } poly1305_finish(m_poly, out); m_poly.clear(); m_buf_pos = 0; } }