X-Git-Url: https://bearssl.org/gitweb//home/git/?p=BearSSL;a=blobdiff_plain;f=src%2Fint%2Fi15_ext2.c;fp=src%2Fint%2Fi15_ext2.c;h=84fc2d633656f80373dae49e7f64c558466e7bb9;hp=0000000000000000000000000000000000000000;hb=28e4e120b84dacdf53963639f1a8a6fec2793662;hpb=6dd8c51ba7e8ca106ede7ff58b5c507042bbf6eb diff --git a/src/int/i15_ext2.c b/src/int/i15_ext2.c new file mode 100644 index 0000000..84fc2d6 --- /dev/null +++ b/src/int/i15_ext2.c @@ -0,0 +1,173 @@ +/* + * Copyright (c) 2017 Thomas Pornin + * + * Permission is hereby granted, free of charge, to any person obtaining + * a copy of this software and associated documentation files (the + * "Software"), to deal in the Software without restriction, including + * without limitation the rights to use, copy, modify, merge, publish, + * distribute, sublicense, and/or sell copies of the Software, and to + * permit persons to whom the Software is furnished to do so, subject to + * the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS + * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN + * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN + * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ + +#include "inner.h" + +/* + * This file contains some additional functions for "i15" big integers. + * These functions are needed to support RSA. + */ + +/* see inner.h */ +void +br_i15_decode_reduce(uint16_t *x, + const void *src, size_t len, const uint16_t *m) +{ + uint32_t m_ebitlen, m_rbitlen; + size_t mblen, k; + const unsigned char *buf; + uint32_t acc; + int acc_len; + + /* + * Get the encoded bit length. + */ + m_ebitlen = m[0]; + + /* + * Special case for an invalid (null) modulus. + */ + if (m_ebitlen == 0) { + x[0] = 0; + return; + } + + /* + * Clear the destination. + */ + br_i15_zero(x, m_ebitlen); + + /* + * First decode directly as many bytes as possible. This requires + * computing the actual bit length. + */ + m_rbitlen = m_ebitlen >> 4; + m_rbitlen = (m_ebitlen & 15) + (m_rbitlen << 4) - m_rbitlen; + mblen = (m_rbitlen + 7) >> 3; + k = mblen - 1; + if (k >= len) { + br_i15_decode(x, src, len); + x[0] = m_ebitlen; + return; + } + buf = src; + br_i15_decode(x, buf, k); + x[0] = m_ebitlen; + + /* + * Input remaining bytes, using 15-bit words. + */ + acc = 0; + acc_len = 0; + while (k < len) { + uint32_t v; + + v = buf[k ++]; + acc = (acc << 8) | v; + acc_len += 8; + if (acc_len >= 15) { + br_i15_muladd_small(x, acc >> (acc_len - 15), m); + acc_len -= 15; + acc &= ~((uint32_t)-1 << acc_len); + } + } + + /* + * We may have some bits accumulated. We then perform a shift to + * be able to inject these bits as a full 15-bit word. + */ + if (acc_len != 0) { + acc = (acc | (x[1] << acc_len)) & 0x7FFF; + br_i15_rshift(x, 15 - acc_len); + br_i15_muladd_small(x, acc, m); + } +} + +/* see inner.h */ +void +br_i15_reduce(uint16_t *x, const uint16_t *a, const uint16_t *m) +{ + uint32_t m_bitlen, a_bitlen; + size_t mlen, alen, u; + + m_bitlen = m[0]; + mlen = (m_bitlen + 15) >> 4; + + x[0] = m_bitlen; + if (m_bitlen == 0) { + return; + } + + /* + * If the source is shorter, then simply copy all words from a[] + * and zero out the upper words. + */ + a_bitlen = a[0]; + alen = (a_bitlen + 15) >> 4; + if (a_bitlen < m_bitlen) { + memcpy(x + 1, a + 1, alen * sizeof *a); + for (u = alen; u < mlen; u ++) { + x[u + 1] = 0; + } + return; + } + + /* + * The source length is at least equal to that of the modulus. + * We must thus copy N-1 words, and input the remaining words + * one by one. + */ + memcpy(x + 1, a + 2 + (alen - mlen), (mlen - 1) * sizeof *a); + x[mlen] = 0; + for (u = 1 + alen - mlen; u > 0; u --) { + br_i15_muladd_small(x, a[u], m); + } +} + +/* see inner.h */ +void +br_i15_mulacc(uint16_t *d, const uint16_t *a, const uint16_t *b) +{ + size_t alen, blen, u; + + alen = (a[0] + 15) >> 4; + blen = (b[0] + 15) >> 4; + d[0] = a[0] + b[0]; + for (u = 0; u < blen; u ++) { + uint32_t f; + size_t v; + uint32_t cc; + + f = b[1 + u]; + cc = 0; + for (v = 0; v < alen; v ++) { + uint32_t z; + + z = (uint32_t)d[1 + u + v] + MUL15(f, a[1 + v]) + cc; + cc = z >> 15; + d[1 + u + v] = z & 0x7FFF; + } + d[1 + u + alen] = cc; + } +}