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head/contrib/bearssl/src/int/i15_modpow2.c
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svn:eol-style | null | native \ No newline at end of property |
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/* | |||||
* Copyright (c) 2017 Thomas Pornin <pornin@bolet.org> | |||||
* | |||||
* 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" | |||||
/* see inner.h */ | |||||
uint32_t | |||||
br_i15_modpow_opt(uint16_t *x, | |||||
const unsigned char *e, size_t elen, | |||||
const uint16_t *m, uint16_t m0i, uint16_t *tmp, size_t twlen) | |||||
{ | |||||
size_t mlen, mwlen; | |||||
uint16_t *t1, *t2, *base; | |||||
size_t u, v; | |||||
uint32_t acc; | |||||
int acc_len, win_len; | |||||
/* | |||||
* Get modulus size. | |||||
*/ | |||||
mwlen = (m[0] + 31) >> 4; | |||||
mlen = mwlen * sizeof m[0]; | |||||
mwlen += (mwlen & 1); | |||||
t1 = tmp; | |||||
t2 = tmp + mwlen; | |||||
/* | |||||
* Compute possible window size, with a maximum of 5 bits. | |||||
* When the window has size 1 bit, we use a specific code | |||||
* that requires only two temporaries. Otherwise, for a | |||||
* window of k bits, we need 2^k+1 temporaries. | |||||
*/ | |||||
if (twlen < (mwlen << 1)) { | |||||
return 0; | |||||
} | |||||
for (win_len = 5; win_len > 1; win_len --) { | |||||
if ((((uint32_t)1 << win_len) + 1) * mwlen <= twlen) { | |||||
break; | |||||
} | |||||
} | |||||
/* | |||||
* Everything is done in Montgomery representation. | |||||
*/ | |||||
br_i15_to_monty(x, m); | |||||
/* | |||||
* Compute window contents. If the window has size one bit only, | |||||
* then t2 is set to x; otherwise, t2[0] is left untouched, and | |||||
* t2[k] is set to x^k (for k >= 1). | |||||
*/ | |||||
if (win_len == 1) { | |||||
memcpy(t2, x, mlen); | |||||
} else { | |||||
memcpy(t2 + mwlen, x, mlen); | |||||
base = t2 + mwlen; | |||||
for (u = 2; u < ((unsigned)1 << win_len); u ++) { | |||||
br_i15_montymul(base + mwlen, base, x, m, m0i); | |||||
base += mwlen; | |||||
} | |||||
} | |||||
/* | |||||
* We need to set x to 1, in Montgomery representation. This can | |||||
* be done efficiently by setting the high word to 1, then doing | |||||
* one word-sized shift. | |||||
*/ | |||||
br_i15_zero(x, m[0]); | |||||
x[(m[0] + 15) >> 4] = 1; | |||||
br_i15_muladd_small(x, 0, m); | |||||
/* | |||||
* We process bits from most to least significant. At each | |||||
* loop iteration, we have acc_len bits in acc. | |||||
*/ | |||||
acc = 0; | |||||
acc_len = 0; | |||||
while (acc_len > 0 || elen > 0) { | |||||
int i, k; | |||||
uint32_t bits; | |||||
/* | |||||
* Get the next bits. | |||||
*/ | |||||
k = win_len; | |||||
if (acc_len < win_len) { | |||||
if (elen > 0) { | |||||
acc = (acc << 8) | *e ++; | |||||
elen --; | |||||
acc_len += 8; | |||||
} else { | |||||
k = acc_len; | |||||
} | |||||
} | |||||
bits = (acc >> (acc_len - k)) & (((uint32_t)1 << k) - 1); | |||||
acc_len -= k; | |||||
/* | |||||
* We could get exactly k bits. Compute k squarings. | |||||
*/ | |||||
for (i = 0; i < k; i ++) { | |||||
br_i15_montymul(t1, x, x, m, m0i); | |||||
memcpy(x, t1, mlen); | |||||
} | |||||
/* | |||||
* Window lookup: we want to set t2 to the window | |||||
* lookup value, assuming the bits are non-zero. If | |||||
* the window length is 1 bit only, then t2 is | |||||
* already set; otherwise, we do a constant-time lookup. | |||||
*/ | |||||
if (win_len > 1) { | |||||
br_i15_zero(t2, m[0]); | |||||
base = t2 + mwlen; | |||||
for (u = 1; u < ((uint32_t)1 << k); u ++) { | |||||
uint32_t mask; | |||||
mask = -EQ(u, bits); | |||||
for (v = 1; v < mwlen; v ++) { | |||||
t2[v] |= mask & base[v]; | |||||
} | |||||
base += mwlen; | |||||
} | |||||
} | |||||
/* | |||||
* Multiply with the looked-up value. We keep the | |||||
* product only if the exponent bits are not all-zero. | |||||
*/ | |||||
br_i15_montymul(t1, x, t2, m, m0i); | |||||
CCOPY(NEQ(bits, 0), x, t1, mlen); | |||||
} | |||||
/* | |||||
* Convert back from Montgomery representation, and exit. | |||||
*/ | |||||
br_i15_from_monty(x, m, m0i); | |||||
return 1; | |||||
} |