tommath/bn_fast_s_mp_mul_high_digs.c

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#include <tommath_private.h>
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#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C
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/* LibTomMath, multiple-precision integer library -- Tom St Denis
*
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* LibTomMath is a library that provides multiple-precision
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* integer arithmetic as well as number theoretic functionality.
*
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* The library was designed directly after the MPI library by
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* Michael Fromberger but has been written from scratch with
* additional optimizations in place.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
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*/
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/* this is a modified version of fast_s_mul_digs that only produces
* output digits *above* digs. See the comments for fast_s_mul_digs
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* to see how it works.
*
* This is used in the Barrett reduction since for one of the multiplications
* only the higher digits were needed. This essentially halves the work.
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*
* Based on Algorithm 14.12 on pp.595 of HAC.
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*/
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int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
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{
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int olduse, res, pa, ix, iz;
mp_digit W[MP_WARRAY];
mp_word _W;
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/* grow the destination as required */
pa = a->used + b->used;
if (c->alloc < pa) {
if ((res = mp_grow(c, pa)) != MP_OKAY) {
return res;
}
}
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/* number of output digits to produce */
pa = a->used + b->used;
_W = 0;
for (ix = digs; ix < pa; ix++) {
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int tx, ty, iy;
mp_digit *tmpx, *tmpy;
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/* get offsets into the two bignums */
ty = MIN(b->used-1, ix);
tx = ix - ty;
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/* setup temp aliases */
tmpx = a->dp + tx;
tmpy = b->dp + ty;
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/* this is the number of times the loop will iterrate, essentially its
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while (tx++ < a->used && ty-- >= 0) { ... }
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*/
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iy = MIN(a->used-tx, ty+1);
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/* execute loop */
for (iz = 0; iz < iy; iz++) {
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_W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
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}
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/* store term */
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W[ix] = (mp_digit)_W & MP_MASK;
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/* make next carry */
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_W = _W >> (mp_word)DIGIT_BIT;
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}
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/* setup dest */
olduse = c->used;
c->used = pa;
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{
mp_digit *tmpc;
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tmpc = c->dp + digs;
for (ix = digs; ix < pa; ix++) {
/* now extract the previous digit [below the carry] */
*tmpc++ = W[ix];
}
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/* clear unused digits [that existed in the old copy of c] */
for (; ix < olduse; ix++) {
*tmpc++ = 0;
}
}
mp_clamp(c);
return MP_OKAY;
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}
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#endif
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/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */