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/*
* Copyright (c) 2016 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 */
void
br_i32_montymul(uint32_t *d, const uint32_t *x, const uint32_t *y,
const uint32_t *m, uint32_t m0i)
{
size_t len, u, v;
uint64_t dh;
len = (m[0] + 31) >> 5;
br_i32_zero(d, m[0]);
dh = 0;
for (u = 0; u < len; u ++) {
uint32_t f, xu;
uint64_t r1, r2, zh;
xu = x[u + 1];
f = (d[1] + x[u + 1] * y[1]) * m0i;
r1 = 0;
r2 = 0;
for (v = 0; v < len; v ++) {
uint64_t z;
uint32_t t;
z = (uint64_t)d[v + 1] + MUL(xu, y[v + 1]) + r1;
r1 = z >> 32;
t = (uint32_t)z;
z = (uint64_t)t + MUL(f, m[v + 1]) + r2;
r2 = z >> 32;
if (v != 0) {
d[v] = (uint32_t)z;
}
}
zh = dh + r1 + r2;
d[len] = (uint32_t)zh;
dh = zh >> 32;
}
/*
* d[] may still be greater than m[] at that point; notably, the
* 'dh' word may be non-zero.
*/
br_i32_sub(d, m, NEQ(dh, 0) | NOT(br_i32_sub(d, m, 0)));
}
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