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view libtommath/bn_s_mp_sqr_fast.c @ 1714:c0f12eaf95c9
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author | Matt Johnston <matt@ucc.asn.au> |
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date | Thu, 11 Jun 2020 00:09:15 +0800 |
parents | 1051e4eea25a |
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#include "tommath_private.h" #ifdef BN_S_MP_SQR_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis */ /* SPDX-License-Identifier: Unlicense */ /* the jist of squaring... * you do like mult except the offset of the tmpx [one that * starts closer to zero] can't equal the offset of tmpy. * So basically you set up iy like before then you min it with * (ty-tx) so that it never happens. You double all those * you add in the inner loop After that loop you do the squares and add them in. */ mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b) { int olduse, pa, ix, iz; mp_digit W[MP_WARRAY], *tmpx; mp_word W1; mp_err err; /* grow the destination as required */ pa = a->used + a->used; if (b->alloc < pa) { if ((err = mp_grow(b, pa)) != MP_OKAY) { return err; } } /* number of output digits to produce */ W1 = 0; for (ix = 0; ix < pa; ix++) { int tx, ty, iy; mp_word _W; mp_digit *tmpy; /* clear counter */ _W = 0; /* get offsets into the two bignums */ ty = MP_MIN(a->used-1, ix); tx = ix - ty; /* setup temp aliases */ tmpx = a->dp + tx; tmpy = a->dp + ty; /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MP_MIN(a->used-tx, ty+1); /* now for squaring tx can never equal ty * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ iy = MP_MIN(iy, ((ty-tx)+1)>>1); /* execute loop */ for (iz = 0; iz < iy; iz++) { _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; } /* double the inner product and add carry */ _W = _W + _W + W1; /* even columns have the square term in them */ if (((unsigned)ix & 1u) == 0u) { _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1]; } /* store it */ W[ix] = (mp_digit)_W & MP_MASK; /* make next carry */ W1 = _W >> (mp_word)MP_DIGIT_BIT; } /* setup dest */ olduse = b->used; b->used = a->used+a->used; { mp_digit *tmpb; tmpb = b->dp; for (ix = 0; ix < pa; ix++) { *tmpb++ = W[ix] & MP_MASK; } /* clear unused digits [that existed in the old copy of c] */ MP_ZERO_DIGITS(tmpb, olduse - ix); } mp_clamp(b); return MP_OKAY; } #endif