Merge branch 'lomereiter/master' into develop
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commit
c7fc93d002
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@ -0,0 +1,102 @@
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#include <tommath.h>
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#ifdef BN_MP_BALANCE_MUL_C
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/* LibTomMath, multiple-precision integer library -- Tom St Denis
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*
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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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*
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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
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* additional optimizations in place.
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*
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* The library is free for all purposes without any express
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* guarantee it works.
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*
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* Tom St Denis, tomstdenis@gmail.com, http://libtom.org
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*/
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/* c = |a| * |b| using balancing multiplication.
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* If |a| is much less than |b|,
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* we firstly split b into chunks such that length of each one is
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* roughly equal to that of |a|.
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*/
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int mp_balance_mul (mp_int * a, mp_int * b, mp_int * c)
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{
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/* the following algorithm is taken from
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* Ruby core; namely, function 'bigmul1_balance'
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* from 'bignum.c'
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*/
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mp_int t1, t2, tmp;
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long i, an, bn, r, n;
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int res, olduse, min, max;
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int err = MP_MEM;
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mp_digit *bds, *cds, *t1ds;
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an = a->used;
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bn = b->used;
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if ((res = mp_grow(c, an + bn)) != MP_OKAY) {
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return res;
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}
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if (mp_init_size(&t1, an) != MP_OKAY) {
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goto ERR;
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}
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bds = b->dp;
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cds = c->dp;
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t1ds = t1.dp;
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n = 0;
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mp_int x;
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c->used = an + bn;
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while (bn > 0) {
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r = MIN(an, bn);
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for (i = 0; i < r; ++i)
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t1ds[i] = bds[n + i];
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t1.used = r;
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mp_init_size(&t2, an + r);
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mp_mul(a, &t1, &t2);
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if (t2.used > c->used - n) {
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min = c->used - n; max = t2.used;
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x.used = t2.used; x.dp = t2.dp;
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} else {
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min = t2.used; max = c->used - n;
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x.used = c->used - n; x.dp = c->dp + n;
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}
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register mp_digit u, *tmpx, *tmpt2, *tmpcn;
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register int i;
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tmpx = tmpcn = x.dp; tmpt2 = t2.dp;
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u = 0;
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for (i = 0; i < min; i++) {
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*tmpcn = *tmpx++ + *tmpt2++ + u;
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u = *tmpcn >> ((mp_digit)DIGIT_BIT);
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*tmpcn++ &= MP_MASK;
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}
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if (min != max) {
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for (; i < max; i++) {
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*tmpcn = x.dp[i] + u;
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u = *tmpcn >> ((mp_digit)DIGIT_BIT);
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*tmpcn++ &= MP_MASK;
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}
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}
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*tmpcn++ = u;
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bn -= r;
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n += r;
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}
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mp_clamp(c);
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return MP_OKAY;
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ERR:
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return err;
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}
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#endif
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/* $Source$ */
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/* $Revision$ */
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/* $Date$ */
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28
bn_mp_mul.c
28
bn_mp_mul.c
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int res, neg;
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neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG;
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int an, bn, tn;
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mp_int * t;
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an = a -> used;
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bn = b -> used;
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if (an > bn) {
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tn = an; an = bn; bn = tn;
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t = a; a = b; b = t;
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}
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/* now a->used <= b->used */
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/* use Toom-Cook? */
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#ifdef BN_MP_TOOM_MUL_C
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if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) {
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if (a->used >= TOOM_MUL_CUTOFF) {
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if (2 * an <= bn) goto balance;
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res = mp_toom_mul(a, b, c);
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} else
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#endif
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#ifdef BN_MP_KARATSUBA_MUL_C
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/* use Karatsuba? */
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if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) {
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if (a->used >= KARATSUBA_MUL_CUTOFF) {
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if (2 * an <= bn) goto balance;
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res = mp_karatsuba_mul (a, b, c);
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} else
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#endif
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#ifdef BN_FAST_S_MP_MUL_DIGS_C
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if ((digs < MP_WARRAY) &&
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MIN(a->used, b->used) <=
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(1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) {
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a->used <= (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) {
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res = fast_s_mp_mul_digs (a, b, c, digs);
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} else
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#endif
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#endif
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}
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ret:
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c->sign = (c->used > 0) ? neg : MP_ZPOS;
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return res;
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balance:
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/* if a is much smaller than b
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* use balance multiplication
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* (the idea is taken from Ruby core)
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*/
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res = mp_balance_mul(a, b, c);
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goto ret;
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}
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#endif
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3
makefile
3
makefile
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@ -93,7 +93,8 @@ bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \
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bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \
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bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \
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bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \
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bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o bn_mp_import.o bn_mp_export.o
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bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o bn_mp_import.o bn_mp_export.o \
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bn_mp_balance_mul.o
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$(LIBNAME): $(OBJECTS)
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$(AR) $(ARFLAGS) $@ $(OBJECTS)
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@ -564,6 +564,7 @@ int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
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int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs);
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int fast_s_mp_sqr(mp_int *a, mp_int *b);
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int s_mp_sqr(mp_int *a, mp_int *b);
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int mp_balance_mul(mp_int *a, mp_int *b, mp_int *c);
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int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c);
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int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c);
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int mp_karatsuba_sqr(mp_int *a, mp_int *b);
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@ -20,6 +20,7 @@
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#define BN_MP_ADD_D_C
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#define BN_MP_ADDMOD_C
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#define BN_MP_AND_C
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#define BN_MP_BALANCE_MUL_C
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#define BN_MP_CLAMP_C
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#define BN_MP_CLEAR_C
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#define BN_MP_CLEAR_MULTI_C
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#endif
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#if defined(BN_MP_MUL_C)
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#define BN_MP_BALANCE_MUL_C
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#define BN_MP_TOOM_MUL_C
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#define BN_MP_KARATSUBA_MUL_C
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#define BN_FAST_S_MP_MUL_DIGS_C
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