Mercurial > dropbear
changeset 200:c5c969ed76f3 libtommath
propagate from branch 'au.asn.ucc.matt.ltm-orig' (head 7fa10cba9535de3461cedb14b877c24858826204)
to branch 'au.asn.ucc.matt.dropbear.ltm' (head fc26f60de0370ab0a281fa41a2d13fb17c9d90a8)
author | Matt Johnston <matt@ucc.asn.au> |
---|---|
date | Wed, 11 May 2005 16:15:27 +0000 |
parents | d8254fc979e9 (diff) 8e94663164c6 (current diff) |
children | c0bf626ee437 |
files | bn.ilg bn.ind bn.pdf bn_mp_exptmod.c bncore.c makefile poster.pdf tommath.h tommath.pdf tommath.tex tommath_class.h |
diffstat | 79 files changed, 6714 insertions(+), 4035 deletions(-) [+] |
line wrap: on
line diff
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/TODO Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,16 @@ +things for book in order of importance... + +- Fix up pseudo-code [only] for combas that are not consistent with source +- Start in chapter 3 [basics] and work up... + - re-write to prose [less abrupt] + - clean up pseudo code [spacing] + - more examples where appropriate and figures + +Goal: + - Get sync done by mid January [roughly 8-12 hours work] + - Finish ch3-6 by end of January [roughly 12-16 hours of work] + - Finish ch7-end by mid Feb [roughly 20-24 hours of work]. + +Goal isn't "first edition" but merely cleaner to read. + +
--- a/bn.tex Sun Jan 02 17:09:26 2005 +0000 +++ b/bn.tex Wed May 11 16:15:27 2005 +0000 @@ -49,7 +49,7 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.32} +\title{LibTomMath User Manual \\ v0.35} \author{Tom St Denis \\ [email protected]} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been @@ -263,12 +263,12 @@ \begin{center} \begin{tabular}{|l|c|c|l|} \hline \textbf{Criteria} & \textbf{Pro} & \textbf{Con} & \textbf{Notes} \\ -\hline Few lines of code per file & X & & GnuPG $ = 300.9$, LibTomMath $ = 76.04$ \\ +\hline Few lines of code per file & X & & GnuPG $ = 300.9$, LibTomMath $ = 71.97$ \\ \hline Commented function prototypes & X && GnuPG function names are cryptic. \\ \hline Speed && X & LibTomMath is slower. \\ \hline Totally free & X & & GPL has unfavourable restrictions.\\ \hline Large function base & X & & GnuPG is barebones. \\ -\hline Four modular reduction algorithms & X & & Faster modular exponentiation. \\ +\hline Five modular reduction algorithms & X & & Faster modular exponentiation for a variety of moduli. \\ \hline Portable & X & & GnuPG requires configuration to build. \\ \hline \end{tabular} @@ -284,9 +284,12 @@ So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is not normally significantly slower. On x86 machines the difference is normally a factor of two when performing modular -exponentiations. +exponentiations. It depends largely on the processor, compiler and the moduli being used. -Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. +Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, +on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library +that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can +be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} \section{Building Programs} @@ -809,7 +812,7 @@ \index{mp\_cmp\_mag} \begin{alltt} -int mp_cmp(mp_int * a, mp_int * b); +int mp_cmp_mag(mp_int * a, mp_int * b); \end{alltt} This will compare $a$ to $b$ placing $a$ to the left of $b$. This function cannot fail and will return one of the three compare codes listed in figure \ref{fig:CMP}. @@ -1220,12 +1223,13 @@ \end{alltt} Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring -algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms. +algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because +of the speed difference. \section{Tuning Polynomial Basis Routines} Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectfully they require +the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor of 138). @@ -1297,14 +1301,14 @@ \section{Barrett Reduction} Barrett reduction is a generic optimized reduction algorithm that requires pre--computation to achieve -a decent speedup over straight division. First a $mu$ value must be precomputed with the following function. +a decent speedup over straight division. First a $\mu$ value must be precomputed with the following function. \index{mp\_reduce\_setup} \begin{alltt} int mp_reduce_setup(mp_int *a, mp_int *b); \end{alltt} -Given a modulus in $b$ this produces the required $mu$ value in $a$. For any given modulus this only has to +Given a modulus in $b$ this produces the required $\mu$ value in $a$. For any given modulus this only has to be computed once. Modular reduction can now be performed with the following. \index{mp\_reduce} @@ -1312,7 +1316,7 @@ int mp_reduce(mp_int *a, mp_int *b, mp_int *c); \end{alltt} -This will reduce $a$ in place modulo $b$ with the precomputed $mu$ value in $c$. $a$ must be in the range +This will reduce $a$ in place modulo $b$ with the precomputed $\mu$ value in $c$. $a$ must be in the range $0 \le a < b^2$. \begin{alltt} @@ -1578,7 +1582,8 @@ This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$. +$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply +$\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \chapter{Prime Numbers} \section{Trial Division}
--- a/bn_fast_mp_invmod.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_fast_mp_invmod.c Wed May 11 16:15:27 2005 +0000 @@ -21,8 +21,7 @@ * Based on slow invmod except this is optimized for the case where b is * odd as per HAC Note 14.64 on pp. 610 */ -int -fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) +int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) { mp_int x, y, u, v, B, D; int res, neg; @@ -39,20 +38,20 @@ /* x == modulus, y == value to invert */ if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* we need y = |a| */ - if ((res = mp_abs (a, &y)) != MP_OKAY) { - goto __ERR; + if ((res = mp_mod (a, b, &y)) != MP_OKAY) { + goto LBL_ERR; } /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } mp_set (&D, 1); @@ -61,17 +60,17 @@ while (mp_iseven (&u) == 1) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 4.2 if B is odd then */ if (mp_isodd (&B) == 1) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* B = B/2 */ if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -79,18 +78,18 @@ while (mp_iseven (&v) == 1) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 5.2 if D is odd then */ if (mp_isodd (&D) == 1) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* D = D/2 */ if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -98,20 +97,20 @@ if (mp_cmp (&u, &v) != MP_LT) { /* u = u - v, B = B - D */ if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } else { /* v - v - u, D = D - B */ if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -125,21 +124,21 @@ /* if v != 1 then there is no inverse */ if (mp_cmp_d (&v, 1) != MP_EQ) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* b is now the inverse */ neg = a->sign; while (D.sign == MP_NEG) { if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } mp_exch (&D, c); c->sign = neg; res = MP_OKAY; -__ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); return res; } #endif
--- a/bn_fast_mp_montgomery_reduce.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_fast_mp_montgomery_reduce.c Wed May 11 16:15:27 2005 +0000 @@ -23,8 +23,7 @@ * * Based on Algorithm 14.32 on pp.601 of HAC. */ -int -fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) { int ix, res, olduse; mp_word W[MP_WARRAY];
--- a/bn_fast_s_mp_mul_digs.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_fast_s_mp_mul_digs.c Wed May 11 16:15:27 2005 +0000 @@ -31,8 +31,7 @@ * Based on Algorithm 14.12 on pp.595 of HAC. * */ -int -fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; @@ -50,7 +49,7 @@ /* clear the carry */ _W = 0; - for (ix = 0; ix <= pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty; int iy; mp_digit *tmpx, *tmpy; @@ -63,7 +62,7 @@ tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -80,14 +79,17 @@ _W = _W >> ((mp_word)DIGIT_BIT); } + /* store final carry */ + W[ix] = (mp_digit)(_W & MP_MASK); + /* setup dest */ olduse = c->used; - c->used = digs; + c->used = pa; { register mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < digs; ix++) { + for (ix = 0; ix < pa+1; ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; }
--- a/bn_fast_s_mp_mul_high_digs.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_fast_s_mp_mul_high_digs.c Wed May 11 16:15:27 2005 +0000 @@ -24,8 +24,7 @@ * * Based on Algorithm 14.12 on pp.595 of HAC. */ -int -fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; @@ -42,7 +41,7 @@ /* number of output digits to produce */ pa = a->used + b->used; _W = 0; - for (ix = digs; ix <= pa; ix++) { + for (ix = digs; ix < pa; ix++) { int tx, ty, iy; mp_digit *tmpx, *tmpy; @@ -70,6 +69,9 @@ /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); } + + /* store final carry */ + W[ix] = (mp_digit)(_W & MP_MASK); /* setup dest */ olduse = c->used;
--- a/bn_fast_s_mp_sqr.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_fast_s_mp_sqr.c Wed May 11 16:15:27 2005 +0000 @@ -15,33 +15,14 @@ * Tom St Denis, [email protected], http://math.libtomcrypt.org */ -/* fast squaring - * - * This is the comba method where the columns of the product - * are computed first then the carries are computed. This - * has the effect of making a very simple inner loop that - * is executed the most - * - * W2 represents the outer products and W the inner. - * - * A further optimizations is made because the inner - * products are of the form "A * B * 2". The *2 part does - * not need to be computed until the end which is good - * because 64-bit shifts are slow! - * - * Based on Algorithm 14.16 on pp.597 of HAC. - * - */ /* 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 + * 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. - -Remove W2 and don't memset W - */ int fast_s_mp_sqr (mp_int * a, mp_int * b) @@ -60,7 +41,7 @@ /* number of output digits to produce */ W1 = 0; - for (ix = 0; ix <= pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty, iy; mp_word _W; mp_digit *tmpy; @@ -76,7 +57,7 @@ tmpx = a->dp + tx; tmpy = a->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -101,7 +82,7 @@ } /* store it */ - W[ix] = _W; + W[ix] = (mp_digit)(_W & MP_MASK); /* make next carry */ W1 = _W >> ((mp_word)DIGIT_BIT);
--- a/bn_mp_div.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_div.c Wed May 11 16:15:27 2005 +0000 @@ -49,23 +49,23 @@ mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_copy(a, &ta)) != MP_OKAY) || - ((res = mp_copy(b, &tb)) != MP_OKAY) || + if (((res = mp_abs(a, &ta)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } while (n-- >= 0) { if (mp_cmp(&tb, &ta) != MP_GT) { if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } } if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } } @@ -74,13 +74,13 @@ n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); if (c != NULL) { mp_exch(c, &q); - c->sign = n2; + c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; } if (d != NULL) { mp_exch(d, &ta); - d->sign = n; + d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; } -__ERR: +LBL_ERR: mp_clear_multi(&ta, &tb, &tq, &q, NULL); return res; } @@ -129,19 +129,19 @@ q.used = a->used + 2; if ((res = mp_init (&t1)) != MP_OKAY) { - goto __Q; + goto LBL_Q; } if ((res = mp_init (&t2)) != MP_OKAY) { - goto __T1; + goto LBL_T1; } if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto __T2; + goto LBL_T2; } if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto __X; + goto LBL_X; } /* fix the sign */ @@ -153,10 +153,10 @@ if (norm < (int)(DIGIT_BIT-1)) { norm = (DIGIT_BIT-1) - norm; if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } } else { norm = 0; @@ -168,13 +168,13 @@ /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto __Y; + goto LBL_Y; } while (mp_cmp (&x, &y) != MP_LT) { ++(q.dp[n - t]); if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } } @@ -216,7 +216,7 @@ t1.dp[1] = y.dp[t]; t1.used = 2; if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* find right hand */ @@ -228,27 +228,27 @@ /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ if (x.sign == MP_NEG) { if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; @@ -275,11 +275,11 @@ res = MP_OKAY; -__Y:mp_clear (&y); -__X:mp_clear (&x); -__T2:mp_clear (&t2); -__T1:mp_clear (&t1); -__Q:mp_clear (&q); +LBL_Y:mp_clear (&y); +LBL_X:mp_clear (&x); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); +LBL_Q:mp_clear (&q); return res; }
--- a/bn_mp_dr_reduce.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_dr_reduce.c Wed May 11 16:15:27 2005 +0000 @@ -20,7 +20,7 @@ * Based on algorithm from the paper * * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Loong Lee, + * Chae Hoon Lim, Pil Joong Lee, * POSTECH Information Research Laboratories * * The modulus must be of a special format [see manual]
--- a/bn_mp_exptmod.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_exptmod.c Wed May 11 16:15:27 2005 +0000 @@ -61,25 +61,33 @@ return err; #else /* no invmod */ - return MP_VAL + return MP_VAL; #endif } +/* modified diminished radix reduction */ +#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) + if (mp_reduce_is_2k_l(P) == MP_YES) { + return s_mp_exptmod(G, X, P, Y, 1); + } +#endif + #ifdef BN_MP_DR_IS_MODULUS_C /* is it a DR modulus? */ dr = mp_dr_is_modulus(P); #else + /* default to no */ dr = 0; #endif #ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a uDR modulus? */ + /* if not, is it a unrestricted DR modulus? */ if (dr == 0) { dr = mp_reduce_is_2k(P) << 1; } #endif - /* if the modulus is odd or dr != 0 use the fast method */ + /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C if (mp_isodd (P) == 1 || dr != 0) { return mp_exptmod_fast (G, X, P, Y, dr); @@ -87,7 +95,7 @@ #endif #ifdef BN_S_MP_EXPTMOD_C /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y); + return s_mp_exptmod (G, X, P, Y, 0); #else /* no exptmod for evens */ return MP_VAL;
--- a/bn_mp_exptmod_fast.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_exptmod_fast.c Wed May 11 16:15:27 2005 +0000 @@ -29,8 +29,7 @@ #define TAB_SIZE 256 #endif -int -mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) +int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) { mp_int M[TAB_SIZE], res; mp_digit buf, mp; @@ -88,11 +87,11 @@ #ifdef BN_MP_MONTGOMERY_SETUP_C /* now setup montgomery */ if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto __M; + goto LBL_M; } #else err = MP_VAL; - goto __M; + goto LBL_M; #endif /* automatically pick the comba one if available (saves quite a few calls/ifs) */ @@ -108,7 +107,7 @@ redux = mp_montgomery_reduce; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } } else if (redmode == 1) { @@ -118,24 +117,24 @@ redux = mp_dr_reduce; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } else { #if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) /* setup DR reduction for moduli of the form 2**k - b */ if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto __M; + goto LBL_M; } redux = mp_reduce_2k; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } /* setup result */ if ((err = mp_init (&res)) != MP_OKAY) { - goto __M; + goto LBL_M; } /* create M table @@ -149,45 +148,45 @@ #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* now we need R mod m */ if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } #else err = MP_VAL; - goto __RES; + goto LBL_RES; #endif /* now set M[1] to G * R mod m */ if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } else { mp_set(&res, 1); if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } for (x = 0; x < (winsize - 1); x++) { if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* create upper table */ for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } @@ -227,10 +226,10 @@ /* if the bit is zero and mode == 1 then we square */ if (mode == 1 && y == 0) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } continue; } @@ -244,19 +243,19 @@ /* square first */ for (x = 0; x < winsize; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* then multiply */ if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } /* empty window and reset */ @@ -271,10 +270,10 @@ /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } /* get next bit of the window */ @@ -282,10 +281,10 @@ if ((bitbuf & (1 << winsize)) != 0) { /* then multiply */ if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } } @@ -299,15 +298,15 @@ * of R. */ if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* swap res with Y */ mp_exch (&res, Y); err = MP_OKAY; -__RES:mp_clear (&res); -__M: +LBL_RES:mp_clear (&res); +LBL_M: mp_clear(&M[1]); for (x = 1<<(winsize-1); x < (1 << winsize); x++) { mp_clear (&M[x]);
--- a/bn_mp_exteuclid.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_exteuclid.c Wed May 11 16:15:27 2005 +0000 @@ -59,6 +59,13 @@ if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } } + /* make sure U3 >= 0 */ + if (u3.sign == MP_NEG) { + mp_neg(&u1, &u1); + mp_neg(&u2, &u2); + mp_neg(&u3, &u3); + } + /* copy result out */ if (U1 != NULL) { mp_exch(U1, &u1); } if (U2 != NULL) { mp_exch(U2, &u2); }
--- a/bn_mp_gcd.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_gcd.c Wed May 11 16:15:27 2005 +0000 @@ -43,7 +43,7 @@ } if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto __U; + goto LBL_U; } /* must be positive for the remainder of the algorithm */ @@ -57,24 +57,24 @@ if (k > 0) { /* divide the power of two out */ if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } /* divide any remaining factors of two out */ if (u_lsb != k) { if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } if (v_lsb != k) { if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } @@ -87,23 +87,23 @@ /* subtract smallest from largest */ if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto __V; + goto LBL_V; } /* Divide out all factors of two */ if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } /* multiply by 2**k which we divided out at the beginning */ if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto __V; + goto LBL_V; } c->sign = MP_ZPOS; res = MP_OKAY; -__V:mp_clear (&u); -__U:mp_clear (&v); +LBL_V:mp_clear (&u); +LBL_U:mp_clear (&v); return res; } #endif
--- a/bn_mp_invmod_slow.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_invmod_slow.c Wed May 11 16:15:27 2005 +0000 @@ -33,25 +33,25 @@ } /* x = a, y = b */ - if ((res = mp_copy (a, &x)) != MP_OKAY) { - goto __ERR; + if ((res = mp_mod(a, b, &x)) != MP_OKAY) { + goto LBL_ERR; } if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 2. [modified] if x,y are both even then return an error! */ if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } mp_set (&A, 1); mp_set (&D, 1); @@ -61,24 +61,24 @@ while (mp_iseven (&u) == 1) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 4.2 if A or B is odd then */ if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* A = A/2, B = B/2 */ if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -86,24 +86,24 @@ while (mp_iseven (&v) == 1) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 5.2 if C or D is odd then */ if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* C = C/2, D = D/2 */ if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -111,28 +111,28 @@ if (mp_cmp (&u, &v) != MP_LT) { /* u = u - v, A = A - C, B = B - D */ if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } else { /* v - v - u, C = C - A, D = D - B */ if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -145,27 +145,27 @@ /* if v != 1 then there is no inverse */ if (mp_cmp_d (&v, 1) != MP_EQ) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* if its too low */ while (mp_cmp_d(&C, 0) == MP_LT) { if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* too big */ while (mp_cmp_mag(&C, b) != MP_LT) { if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* C is now the inverse */ mp_exch (&C, c); res = MP_OKAY; -__ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); return res; } #endif
--- a/bn_mp_jacobi.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_jacobi.c Wed May 11 16:15:27 2005 +0000 @@ -50,13 +50,13 @@ } if ((res = mp_init (&p1)) != MP_OKAY) { - goto __A1; + goto LBL_A1; } /* divide out larger power of two */ k = mp_cnt_lsb(&a1); if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } /* step 4. if e is even set s=1 */ @@ -84,18 +84,18 @@ } else { /* n1 = n mod a1 */ if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } *c = s * r; } /* done */ res = MP_OKAY; -__P1:mp_clear (&p1); -__A1:mp_clear (&a1); +LBL_P1:mp_clear (&p1); +LBL_A1:mp_clear (&a1); return res; } #endif
--- a/bn_mp_lcm.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_lcm.c Wed May 11 16:15:27 2005 +0000 @@ -28,20 +28,20 @@ /* t1 = get the GCD of the two inputs */ if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto __T; + goto LBL_T; } /* divide the smallest by the GCD */ if (mp_cmp_mag(a, b) == MP_LT) { /* store quotient in t2 such that t2 * b is the LCM */ if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto __T; + goto LBL_T; } res = mp_mul(b, &t2, c); } else { /* store quotient in t2 such that t2 * a is the LCM */ if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto __T; + goto LBL_T; } res = mp_mul(a, &t2, c); } @@ -49,7 +49,7 @@ /* fix the sign to positive */ c->sign = MP_ZPOS; -__T: +LBL_T: mp_clear_multi (&t1, &t2, NULL); return res; }
--- a/bn_mp_mod_2d.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_mod_2d.c Wed May 11 16:15:27 2005 +0000 @@ -28,7 +28,7 @@ } /* if the modulus is larger than the value than return */ - if (b > (int) (a->used * DIGIT_BIT)) { + if (b >= (int) (a->used * DIGIT_BIT)) { res = mp_copy (a, c); return res; }
--- a/bn_mp_montgomery_calc_normalization.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_montgomery_calc_normalization.c Wed May 11 16:15:27 2005 +0000 @@ -28,7 +28,6 @@ /* how many bits of last digit does b use */ bits = mp_count_bits (b) % DIGIT_BIT; - if (b->used > 1) { if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { return res;
--- a/bn_mp_mul_d.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_mul_d.c Wed May 11 16:15:27 2005 +0000 @@ -57,8 +57,9 @@ u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } - /* store final carry [if any] */ + /* store final carry [if any] and increment ix offset */ *tmpc++ = u; + ++ix; /* now zero digits above the top */ while (ix++ < olduse) {
--- a/bn_mp_n_root.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_n_root.c Wed May 11 16:15:27 2005 +0000 @@ -40,11 +40,11 @@ } if ((res = mp_init (&t2)) != MP_OKAY) { - goto __T1; + goto LBL_T1; } if ((res = mp_init (&t3)) != MP_OKAY) { - goto __T2; + goto LBL_T2; } /* if a is negative fudge the sign but keep track */ @@ -57,52 +57,52 @@ do { /* t1 = t2 */ if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ /* t3 = t1**(b-1) */ if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* numerator */ /* t2 = t1**b */ if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t2 = t1**b - a */ if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* denominator */ /* t3 = t1**(b-1) * b */ if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t3 = (t1**b - a)/(b * t1**(b-1)) */ if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } } while (mp_cmp (&t1, &t2) != MP_EQ); /* result can be off by a few so check */ for (;;) { if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } if (mp_cmp (&t2, a) == MP_GT) { if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } } else { break; @@ -120,9 +120,9 @@ res = MP_OKAY; -__T3:mp_clear (&t3); -__T2:mp_clear (&t2); -__T1:mp_clear (&t1); +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); return res; } #endif
--- a/bn_mp_neg.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_neg.c Wed May 11 16:15:27 2005 +0000 @@ -19,12 +19,18 @@ int mp_neg (mp_int * a, mp_int * b) { int res; - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; + if (a != b) { + if ((res = mp_copy (a, b)) != MP_OKAY) { + return res; + } } + if (mp_iszero(b) != MP_YES) { b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; + } else { + b->sign = MP_ZPOS; } + return MP_OKAY; } #endif
--- a/bn_mp_prime_fermat.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_fermat.c Wed May 11 16:15:27 2005 +0000 @@ -43,7 +43,7 @@ /* compute t = b**a mod a */ if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto __T; + goto LBL_T; } /* is it equal to b? */ @@ -52,7 +52,7 @@ } err = MP_OKAY; -__T:mp_clear (&t); +LBL_T:mp_clear (&t); return err; } #endif
--- a/bn_mp_prime_is_divisible.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_is_divisible.c Wed May 11 16:15:27 2005 +0000 @@ -29,8 +29,8 @@ *result = MP_NO; for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod __prime_tab[ix] */ - if ((err = mp_mod_d (a, __prime_tab[ix], &res)) != MP_OKAY) { + /* what is a mod LBL_prime_tab[ix] */ + if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { return err; }
--- a/bn_mp_prime_is_prime.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_is_prime.c Wed May 11 16:15:27 2005 +0000 @@ -37,7 +37,7 @@ /* is the input equal to one of the primes in the table? */ for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, __prime_tab[ix]) == MP_EQ) { + if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { *result = 1; return MP_OKAY; } @@ -60,20 +60,20 @@ for (ix = 0; ix < t; ix++) { /* set the prime */ - mp_set (&b, __prime_tab[ix]); + mp_set (&b, ltm_prime_tab[ix]); if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto __B; + goto LBL_B; } if (res == MP_NO) { - goto __B; + goto LBL_B; } } /* passed the test */ *result = MP_YES; -__B:mp_clear (&b); +LBL_B:mp_clear (&b); return err; } #endif
--- a/bn_mp_prime_miller_rabin.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_miller_rabin.c Wed May 11 16:15:27 2005 +0000 @@ -40,12 +40,12 @@ return err; } if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto __N1; + goto LBL_N1; } /* set 2**s * r = n1 */ if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto __N1; + goto LBL_N1; } /* count the number of least significant bits @@ -55,15 +55,15 @@ /* now divide n - 1 by 2**s */ if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto __R; + goto LBL_R; } /* compute y = b**r mod a */ if ((err = mp_init (&y)) != MP_OKAY) { - goto __R; + goto LBL_R; } if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if y != 1 and y != n1 do */ @@ -72,12 +72,12 @@ /* while j <= s-1 and y != n1 */ while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if y == 1 then composite */ if (mp_cmp_d (&y, 1) == MP_EQ) { - goto __Y; + goto LBL_Y; } ++j; @@ -85,15 +85,15 @@ /* if y != n1 then composite */ if (mp_cmp (&y, &n1) != MP_EQ) { - goto __Y; + goto LBL_Y; } } /* probably prime now */ *result = MP_YES; -__Y:mp_clear (&y); -__R:mp_clear (&r); -__N1:mp_clear (&n1); +LBL_Y:mp_clear (&y); +LBL_R:mp_clear (&r); +LBL_N1:mp_clear (&n1); return err; } #endif
--- a/bn_mp_prime_next_prime.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_next_prime.c Wed May 11 16:15:27 2005 +0000 @@ -35,10 +35,10 @@ a->sign = MP_ZPOS; /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, __prime_tab[PRIME_SIZE-1]) == MP_LT) { + if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { /* find which prime it is bigger than */ for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, __prime_tab[x]) != MP_LT) { + if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { if (bbs_style == 1) { /* ok we found a prime smaller or * equal [so the next is larger] @@ -46,17 +46,17 @@ * however, the prime must be * congruent to 3 mod 4 */ - if ((__prime_tab[x + 1] & 3) != 3) { + if ((ltm_prime_tab[x + 1] & 3) != 3) { /* scan upwards for a prime congruent to 3 mod 4 */ for (y = x + 1; y < PRIME_SIZE; y++) { - if ((__prime_tab[y] & 3) == 3) { - mp_set(a, __prime_tab[y]); + if ((ltm_prime_tab[y] & 3) == 3) { + mp_set(a, ltm_prime_tab[y]); return MP_OKAY; } } } } else { - mp_set(a, __prime_tab[x + 1]); + mp_set(a, ltm_prime_tab[x + 1]); return MP_OKAY; } } @@ -94,7 +94,7 @@ /* generate the restable */ for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, __prime_tab[x], res_tab + x)) != MP_OKAY) { + if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { return err; } } @@ -120,8 +120,8 @@ res_tab[x] += kstep; /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= __prime_tab[x]) { - res_tab[x] -= __prime_tab[x]; + if (res_tab[x] >= ltm_prime_tab[x]) { + res_tab[x] -= ltm_prime_tab[x]; } /* set flag if zero */ @@ -133,7 +133,7 @@ /* add the step */ if ((err = mp_add_d(a, step, a)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* if didn't pass sieve and step == MAX then skip test */ @@ -143,9 +143,9 @@ /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, __prime_tab[t]); + mp_set(&b, ltm_prime_tab[t]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if (res == MP_NO) { break; @@ -158,7 +158,7 @@ } err = MP_OKAY; -__ERR: +LBL_ERR: mp_clear(&b); return err; }
--- a/bn_mp_prime_random_ex.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_prime_random_ex.c Wed May 11 16:15:27 2005 +0000 @@ -47,7 +47,7 @@ } /* calc the byte size */ - bsize = (size>>3)+(size&7?1:0); + bsize = (size>>3) + ((size&7)?1:0); /* we need a buffer of bsize bytes */ tmp = OPT_CAST(unsigned char) XMALLOC(bsize); @@ -56,19 +56,19 @@ } /* calc the maskAND value for the MSbyte*/ - maskAND = 0xFF >> (8 - (size & 7)); + maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); /* calc the maskOR_msb */ maskOR_msb = 0; - maskOR_msb_offset = (size - 2) >> 3; + maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; if (flags & LTM_PRIME_2MSB_ON) { maskOR_msb |= 1 << ((size - 2) & 7); } else if (flags & LTM_PRIME_2MSB_OFF) { maskAND &= ~(1 << ((size - 2) & 7)); - } + } /* get the maskOR_lsb */ - maskOR_lsb = 0; + maskOR_lsb = 1; if (flags & LTM_PRIME_BBS) { maskOR_lsb |= 3; }
--- a/bn_mp_radix_size.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_radix_size.c Wed May 11 16:15:27 2005 +0000 @@ -35,22 +35,29 @@ return MP_VAL; } - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; + if (mp_iszero(a) == MP_YES) { + *size = 2; + return MP_OKAY; } /* digs is the digit count */ digs = 0; /* if it's negative add one for the sign */ - if (t.sign == MP_NEG) { + if (a->sign == MP_NEG) { ++digs; - t.sign = MP_ZPOS; } + /* init a copy of the input */ + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + /* force temp to positive */ + t.sign = MP_ZPOS; + /* fetch out all of the digits */ - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res;
--- a/bn_mp_rand.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_rand.c Wed May 11 16:15:27 2005 +0000 @@ -29,14 +29,14 @@ /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())); + d = ((mp_digit) abs (rand ())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { return res; } - while (digits-- > 0) { + while (--digits > 0) { if ((res = mp_lshd (a, 1)) != MP_OKAY) { return res; }
--- a/bn_mp_read_radix.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_read_radix.c Wed May 11 16:15:27 2005 +0000 @@ -16,7 +16,7 @@ */ /* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, char *str, int radix) +int mp_read_radix (mp_int * a, const char *str, int radix) { int y, res, neg; char ch;
--- a/bn_mp_reduce.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_reduce.c Wed May 11 16:15:27 2005 +0000 @@ -19,8 +19,7 @@ * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ -int -mp_reduce (mp_int * x, mp_int * m, mp_int * mu) +int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) { mp_int q; int res, um = m->used; @@ -40,11 +39,11 @@ } } else { #ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) { + if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) { + if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } #else
--- a/bn_mp_reduce_2k.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_reduce_2k.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* reduces a modulo n where n is of the form 2**p - d */ -int -mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) +int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res;
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_reduce_2k_l.c Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,58 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* reduces a modulo n where n is of the form 2**p - d + This differs from reduce_2k since "d" can be larger + than a single digit. +*/ +int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) +{ + mp_int q; + int p, res; + + if ((res = mp_init(&q)) != MP_OKAY) { + return res; + } + + p = mp_count_bits(n); +top: + /* q = a/2**p, a = a mod 2**p */ + if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + goto ERR; + } + + /* q = q * d */ + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + goto ERR; + } + + /* a = a + q */ + if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + goto ERR; + } + + if (mp_cmp_mag(a, n) != MP_LT) { + s_mp_sub(a, n, a); + goto top; + } + +ERR: + mp_clear(&q); + return res; +} + +#endif
--- a/bn_mp_reduce_2k_setup.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_reduce_2k_setup.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* determines the setup value */ -int -mp_reduce_2k_setup(mp_int *a, mp_digit *d) +int mp_reduce_2k_setup(mp_int *a, mp_digit *d) { int res, p; mp_int tmp;
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_reduce_2k_setup_l.c Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,40 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_SETUP_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* determines the setup value */ +int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) +{ + int res; + mp_int tmp; + + if ((res = mp_init(&tmp)) != MP_OKAY) { + return res; + } + + if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { + goto ERR; + } + + if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { + goto ERR; + } + +ERR: + mp_clear(&tmp); + return res; +} +#endif
--- a/bn_mp_reduce_is_2k.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_reduce_is_2k.c Wed May 11 16:15:27 2005 +0000 @@ -22,9 +22,9 @@ mp_digit iz; if (a->used == 0) { - return 0; + return MP_NO; } else if (a->used == 1) { - return 1; + return MP_YES; } else if (a->used > 1) { iy = mp_count_bits(a); iz = 1; @@ -33,7 +33,7 @@ /* Test every bit from the second digit up, must be 1 */ for (ix = DIGIT_BIT; ix < iy; ix++) { if ((a->dp[iw] & iz) == 0) { - return 0; + return MP_NO; } iz <<= 1; if (iz > (mp_digit)MP_MASK) { @@ -42,7 +42,7 @@ } } } - return 1; + return MP_YES; } #endif
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_reduce_is_2k_l.c Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,40 @@ +#include <tommath.h> +#ifdef BN_MP_REDUCE_IS_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* determines if reduce_2k_l can be used */ +int mp_reduce_is_2k_l(mp_int *a) +{ + int ix, iy; + + if (a->used == 0) { + return MP_NO; + } else if (a->used == 1) { + return MP_YES; + } else if (a->used > 1) { + /* if more than half of the digits are -1 we're sold */ + for (iy = ix = 0; ix < a->used; ix++) { + if (a->dp[ix] == MP_MASK) { + ++iy; + } + } + return (iy >= (a->used/2)) ? MP_YES : MP_NO; + + } + return MP_NO; +} + +#endif
--- a/bn_mp_to_signed_bin.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_to_signed_bin.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* store in signed [big endian] format */ -int -mp_to_signed_bin (mp_int * a, unsigned char *b) +int mp_to_signed_bin (mp_int * a, unsigned char *b) { int res;
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_to_signed_bin_n.c Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,27 @@ +#include <tommath.h> +#ifdef BN_MP_TO_SIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* store in signed [big endian] format */ +int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_signed_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_signed_bin_size(a); + return mp_to_signed_bin(a, b); +} +#endif
--- a/bn_mp_to_unsigned_bin.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_to_unsigned_bin.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* store in unsigned [big endian] format */ -int -mp_to_unsigned_bin (mp_int * a, unsigned char *b) +int mp_to_unsigned_bin (mp_int * a, unsigned char *b) { int x, res; mp_int t;
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_to_unsigned_bin_n.c Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,27 @@ +#include <tommath.h> +#ifdef BN_MP_TO_UNSIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* store in unsigned [big endian] format */ +int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_unsigned_bin_size(a); + return mp_to_unsigned_bin(a, b); +} +#endif
--- a/bn_mp_toom_mul.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_toom_mul.c Wed May 11 16:15:27 2005 +0000 @@ -17,9 +17,10 @@ /* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower asymptotic running time of - * O(N**1.464). This algorithm is only particularly useful on VERY large - * inputs (we're talking 1000s of digits here...). + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs + * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) {
--- a/bn_mp_unsigned_bin_size.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_unsigned_bin_size.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* get the size for an unsigned equivalent */ -int -mp_unsigned_bin_size (mp_int * a) +int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); return (size / 8 + ((size & 7) != 0 ? 1 : 0));
--- a/bn_mp_xor.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_xor.c Wed May 11 16:15:27 2005 +0000 @@ -37,7 +37,7 @@ } for (ix = 0; ix < px; ix++) { - + t.dp[ix] ^= x->dp[ix]; } mp_clamp (&t); mp_exch (c, &t);
--- a/bn_mp_zero.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_mp_zero.c Wed May 11 16:15:27 2005 +0000 @@ -16,11 +16,17 @@ */ /* set to zero */ -void -mp_zero (mp_int * a) +void mp_zero (mp_int * a) { + int n; + mp_digit *tmp; + a->sign = MP_ZPOS; a->used = 0; - memset (a->dp, 0, sizeof (mp_digit) * a->alloc); + + tmp = a->dp; + for (n = 0; n < a->alloc; n++) { + *tmp++ = 0; + } } #endif
--- a/bn_prime_tab.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_prime_tab.c Wed May 11 16:15:27 2005 +0000 @@ -14,7 +14,7 @@ * * Tom St Denis, [email protected], http://math.libtomcrypt.org */ -const mp_digit __prime_tab[] = { +const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059,
--- a/bn_s_mp_exptmod.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_s_mp_exptmod.c Wed May 11 16:15:27 2005 +0000 @@ -21,11 +21,12 @@ #define TAB_SIZE 256 #endif -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) { mp_int M[TAB_SIZE], res, mu; mp_digit buf; int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + int (*redux)(mp_int*,mp_int*,mp_int*); /* find window size */ x = mp_count_bits (X); @@ -70,11 +71,20 @@ /* create mu, used for Barrett reduction */ if ((err = mp_init (&mu)) != MP_OKAY) { - goto __M; + goto LBL_M; } - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto __MU; - } + + if (redmode == 0) { + if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce; + } else { + if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce_2k_l; + } /* create M table * @@ -85,23 +95,26 @@ * computed though accept for M[0] and M[1] */ if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } /* compute the value at M[1<<(winsize-1)] by squaring * M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } for (x = 0; x < (winsize - 1); x++) { + /* square it */ if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } - if ((err = mp_reduce (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto __MU; + + /* reduce modulo P */ + if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { + goto LBL_MU; } } @@ -110,16 +123,16 @@ */ for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } - if ((err = mp_reduce (&M[x], P, &mu)) != MP_OKAY) { - goto __MU; + if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { + goto LBL_MU; } } /* setup result */ if ((err = mp_init (&res)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } mp_set (&res, 1); @@ -159,10 +172,10 @@ /* if the bit is zero and mode == 1 then we square */ if (mode == 1 && y == 0) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } continue; } @@ -176,19 +189,19 @@ /* square first */ for (x = 0; x < winsize; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } } /* then multiply */ if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } /* empty window and reset */ @@ -203,20 +216,20 @@ /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } bitbuf <<= 1; if ((bitbuf & (1 << winsize)) != 0) { /* then multiply */ if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } } } @@ -224,9 +237,9 @@ mp_exch (&res, Y); err = MP_OKAY; -__RES:mp_clear (&res); -__MU:mp_clear (&mu); -__M: +LBL_RES:mp_clear (&res); +LBL_MU:mp_clear (&mu); +LBL_M: mp_clear(&M[1]); for (x = 1<<(winsize-1); x < (1 << winsize); x++) { mp_clear (&M[x]);
--- a/bn_s_mp_mul_digs.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_s_mp_mul_digs.c Wed May 11 16:15:27 2005 +0000 @@ -19,8 +19,7 @@ * HAC pp. 595, Algorithm 14.12 Modified so you can control how * many digits of output are created. */ -int -s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { mp_int t; int res, pa, pb, ix, iy;
--- a/bn_s_mp_sqr.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bn_s_mp_sqr.c Wed May 11 16:15:27 2005 +0000 @@ -16,8 +16,7 @@ */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int -s_mp_sqr (mp_int * a, mp_int * b) +int s_mp_sqr (mp_int * a, mp_int * b) { mp_int t; int res, ix, iy, pa;
--- a/bncore.c Sun Jan 02 17:09:26 2005 +0000 +++ b/bncore.c Wed May 11 16:15:27 2005 +0000 @@ -20,11 +20,12 @@ CPU /Compiler /MUL CUTOFF/SQR CUTOFF ------------------------------------------------------------- Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) + AMD Athlon64 /GCC v3.4.4 / 74/ 124/LTM 0.34 */ -int KARATSUBA_MUL_CUTOFF = 88, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 128, /* Min. number of digits before Karatsuba squaring is used. */ +int KARATSUBA_MUL_CUTOFF = 74, /* Min. number of digits before Karatsuba multiplication is used. */ + KARATSUBA_SQR_CUTOFF = 124, /* Min. number of digits before Karatsuba squaring is used. */ TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ TOOM_SQR_CUTOFF = 400;
--- a/callgraph.txt Sun Jan 02 17:09:26 2005 +0000 +++ b/callgraph.txt Wed May 11 16:15:27 2005 +0000 @@ -245,6 +245,7 @@ | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -298,6 +299,7 @@ | | +--->BN_MP_CLEAR_C | +--->BN_MP_SET_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -404,6 +406,7 @@ | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -700,6 +703,7 @@ | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C | | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C @@ -753,6 +757,7 @@ | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -902,7 +907,64 @@ | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ABS_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_DIV_2_C @@ -933,6 +995,66 @@ | +--->BN_MP_INVMOD_SLOW_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SET_C @@ -968,6 +1090,470 @@ | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C +--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_EXCH_C +--->BN_MP_DR_IS_MODULUS_C +--->BN_MP_REDUCE_IS_2K_C | +--->BN_MP_REDUCE_2K_C @@ -1375,122 +1961,190 @@ | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_ZERO_C + + +BN_MP_GROW_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_PRIME_FERMAT_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -1507,58 +2161,417 @@ | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_MUL_C | | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -1610,6 +2623,8 @@ | | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -1617,217 +2632,9 @@ | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_DR_IS_MODULUS_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C @@ -2235,364 +3042,6 @@ | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C +--->BN_MP_CLEAR_C @@ -2618,6 +3067,7 @@ | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -2838,6 +3288,7 @@ | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -2894,7 +3345,65 @@ | | +--->BN_MP_CLEAR_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ABS_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C | +--->BN_MP_DIV_2_C @@ -2926,6 +3435,67 @@ | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_INIT_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C | +--->BN_MP_SET_C @@ -2978,7 +3548,65 @@ | +--->BN_MP_CLEAR_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C -+--->BN_MP_ABS_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_SET_C | +--->BN_MP_ZERO_C +--->BN_MP_DIV_2_C @@ -3313,6 +3941,7 @@ | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_CLEAR_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -3465,7 +4094,55 @@ | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_DIV_2_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -3493,6 +4170,57 @@ | | | | +--->BN_MP_INVMOD_SLOW_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_DIV_2_C @@ -3525,6 +4253,437 @@ | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_DR_IS_MODULUS_C | | | +--->BN_MP_REDUCE_IS_2K_C | | | | +--->BN_MP_REDUCE_2K_C @@ -3895,343 +5054,6 @@ | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_CMP_C | | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_SQRMOD_C @@ -4322,6 +5144,7 @@ | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -4548,6 +5371,7 @@ | | +--->BN_MP_CLEAR_C | +--->BN_MP_SET_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -4743,7 +5567,55 @@ | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -4771,6 +5643,57 @@ | | | +--->BN_MP_INVMOD_SLOW_C | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_DIV_2_C @@ -4803,6 +5726,437 @@ | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_DR_IS_MODULUS_C | | +--->BN_MP_REDUCE_IS_2K_C | | | +--->BN_MP_REDUCE_2K_C @@ -5173,343 +6527,6 @@ | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C | +--->BN_MP_CMP_C | | +--->BN_MP_CMP_MAG_C | +--->BN_MP_SQRMOD_C @@ -5600,6 +6617,7 @@ | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C | | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C @@ -5809,6 +6827,7 @@ | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C | | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C @@ -5865,6 +6884,7 @@ | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -6284,6 +7304,7 @@ | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -6482,7 +7503,55 @@ | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -6510,6 +7579,57 @@ | | | +--->BN_MP_INVMOD_SLOW_C | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_DIV_2_C @@ -6542,6 +7662,437 @@ | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_DR_IS_MODULUS_C | | +--->BN_MP_REDUCE_IS_2K_C | | | +--->BN_MP_REDUCE_2K_C @@ -6912,343 +8463,6 @@ | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C | +--->BN_MP_CMP_C | | +--->BN_MP_CMP_MAG_C | +--->BN_MP_SQRMOD_C @@ -7339,6 +8553,7 @@ | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C | | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C @@ -7391,6 +8606,67 @@ +--->BN_MP_INIT_MULTI_C | +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C +--->BN_MP_SET_C @@ -7465,6 +8741,7 @@ | +--->BN_MP_ZERO_C | +--->BN_MP_SET_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -7588,6 +8865,107 @@ | +--->BN_MP_CLEAR_C +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + BN_REVERSE_C @@ -7655,6 +9033,18 @@ +--->BN_MP_CLEAR_C +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + BN_MP_READ_RADIX_C +--->BN_MP_ZERO_C +--->BN_MP_MUL_D_C @@ -7928,6 +9318,7 @@ | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -7966,6 +9357,226 @@ | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_MOD_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C @@ -7974,6 +9585,7 @@ | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -8092,121 +9704,6 @@ | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +--->BN_MP_MUL_C | +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_INIT_MULTI_C @@ -8372,6 +9869,7 @@ | +--->BN_MP_CLEAR_C +--->BN_MP_SET_C +--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C +--->BN_MP_MUL_2D_C | +--->BN_MP_GROW_C | +--->BN_MP_LSHD_C @@ -8465,6 +9963,7 @@ | | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -8509,6 +10008,31 @@ | +--->BN_MP_CLAMP_C +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_IS_2K_L_C + + BN_MP_RAND_C +--->BN_MP_ZERO_C +--->BN_MP_ADD_D_C @@ -8536,6 +10060,26 @@ BN_MP_SHRINK_C +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + BN_MP_REDUCE_C +--->BN_MP_REDUCE_SETUP_C | +--->BN_MP_2EXPT_C @@ -8551,6 +10095,7 @@ | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -8766,6 +10311,7 @@ | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C @@ -8912,6 +10458,7 @@ | +--->BN_MP_CMP_MAG_C | +--->BN_MP_ZERO_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -9039,6 +10586,7 @@ | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C @@ -9078,6 +10626,7 @@ | | +--->BN_MP_CLEAR_C | +--->BN_MP_SET_C | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C | +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C @@ -9245,7 +10794,56 @@ | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_DIV_2_C @@ -9275,6 +10873,58 @@ | | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_SET_C @@ -9309,6 +10959,443 @@ | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_DR_IS_MODULUS_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C @@ -9684,349 +11771,6 @@ | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C +--->BN_MP_SQRMOD_C @@ -10118,6 +11862,7 @@ | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_SET_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C | | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C
--- a/changes.txt Sun Jan 02 17:09:26 2005 +0000 +++ b/changes.txt Wed May 11 16:15:27 2005 +0000 @@ -1,3 +1,35 @@ +March 12th, 2005 +v0.35 -- Stupid XOR function missing line again... oops. + -- Fixed bug in invmod not handling negative inputs correctly [Wolfgang Ehrhardt] + -- Made exteuclid always give positive u3 output...[ Wolfgang Ehrhardt ] + -- [Wolfgang Ehrhardt] Suggested a fix for mp_reduce() which avoided underruns. ;-) + -- mp_rand() would emit one too many digits and it was possible to get a 0 out of it ... oops + -- Added montgomery to the testing to make sure it handles 1..10 digit moduli correctly + -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" + -- Fixed bug in mp_toradix_size for "0" [Kevin Kenny] + -- Updated chapters 1-5 of the textbook ;-) It now talks about the new comba code! + +February 12th, 2005 +v0.34 -- Fixed two more small errors in mp_prime_random_ex() + -- Fixed overflow in mp_mul_d() [Kevin Kenny] + -- Added mp_to_(un)signed_bin_n() functions which do bounds checking for ya [and report the size] + -- Added "large" diminished radix support. Speeds up things like DSA where the moduli is of the form 2^k - P for some P < 2^(k/2) or so + Actually is faster than Montgomery on my AMD64 (and probably much faster on a P4) + -- Updated the manual a bit + -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the + end of Feb/05. Once I get back I'll have tons of free time and I plan to go to town on the book. + As of this release the API will freeze. At least until the book catches up with all the changes. I welcome + bug reports but new algorithms will have to wait. + +December 23rd, 2004 +v0.33 -- Fixed "small" variant for mp_div() which would munge with negative dividends... + -- Fixed bug in mp_prime_random_ex() which would set the most significant byte to zero when + no special flags were set + -- Fixed overflow [minor] bug in fast_s_mp_sqr() + -- Made the makefiles easier to configure the group/user that ltm will install as + -- Fixed "final carry" bug in comba multipliers. (Volkan Ceylan) + -- Matt Johnston pointed out a missing semi-colon in mp_exptmod + October 29th, 2004 v0.32 -- Added "makefile.shared" for shared object support -- Added more to the build options/configs in the manual
--- a/demo/demo.c Sun Jan 02 17:09:26 2005 +0000 +++ b/demo/demo.c Wed May 11 16:15:27 2005 +0000 @@ -9,15 +9,16 @@ #include "tommath.h" -void ndraw(mp_int *a, char *name) +void ndraw(mp_int * a, char *name) { - char buf[4096]; + char buf[16000]; + printf("%s: ", name); - mp_toradix(a, buf, 64); + mp_toradix(a, buf, 10); printf("%s\n", buf); } -static void draw(mp_int *a) +static void draw(mp_int * a) { ndraw(a, ""); } @@ -39,20 +40,23 @@ int myrng(unsigned char *dst, int len, void *dat) { int x; - for (x = 0; x < len; x++) dst[x] = rand() & 0xFF; + + for (x = 0; x < len; x++) + dst[x] = rand() & 0xFF; return len; } - char cmd[4096], buf[4096]; +char cmd[4096], buf[4096]; int main(void) { mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, inv_n, - div2_n, mul2_n, add_d_n, sub_d_n, t; + unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, + gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; unsigned rr; int i, n, err, cnt, ix, old_kara_m, old_kara_s; + mp_digit mp; mp_init(&a); @@ -65,108 +69,152 @@ srand(time(NULL)); #if 0 - // test mp_get_int - printf("Testing: mp_get_int\n"); - for(i=0;i<1000;++i) { - t = ((unsigned long)rand()*rand()+1)&0xFFFFFFFF; - mp_set_int(&a,t); - if (t!=mp_get_int(&a)) { + // test montgomery + printf("Testing montgomery...\n"); + for (i = 1; i < 10; i++) { + printf("Testing digit size: %d\n", i); + for (n = 0; n < 1000; n++) { + mp_rand(&a, i); + a.dp[0] |= 1; + + // let's see if R is right + mp_montgomery_calc_normalization(&b, &a); + mp_montgomery_setup(&a, &mp); + + // now test a random reduction + for (ix = 0; ix < 100; ix++) { + mp_rand(&c, 1 + abs(rand()) % (2*i)); + mp_copy(&c, &d); + mp_copy(&c, &e); + + mp_mod(&d, &a, &d); + mp_montgomery_reduce(&c, &a, mp); + mp_mulmod(&c, &b, &a, &c); + + if (mp_cmp(&c, &d) != MP_EQ) { +printf("d = e mod a, c = e MOD a\n"); +mp_todecimal(&a, buf); printf("a = %s\n", buf); +mp_todecimal(&e, buf); printf("e = %s\n", buf); +mp_todecimal(&d, buf); printf("d = %s\n", buf); +mp_todecimal(&c, buf); printf("c = %s\n", buf); +printf("compare no compare!\n"); exit(EXIT_FAILURE); } + } + } + } + printf("done\n"); + + // test mp_get_int + printf("Testing: mp_get_int\n"); + for (i = 0; i < 1000; ++i) { + t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; + mp_set_int(&a, t); + if (t != mp_get_int(&a)) { + printf("mp_get_int() bad result!\n"); + return 1; + } + } + mp_set_int(&a, 0); + if (mp_get_int(&a) != 0) { + printf("mp_get_int() bad result!\n"); + return 1; + } + mp_set_int(&a, 0xffffffff); + if (mp_get_int(&a) != 0xffffffff) { printf("mp_get_int() bad result!\n"); return 1; - } - } - mp_set_int(&a,0); - if (mp_get_int(&a)!=0) - { printf("mp_get_int() bad result!\n"); - return 1; - } - mp_set_int(&a,0xffffffff); - if (mp_get_int(&a)!=0xffffffff) - { printf("mp_get_int() bad result!\n"); - return 1; - } + } + // test mp_sqrt + printf("Testing: mp_sqrt\n"); + for (i = 0; i < 1000; ++i) { + printf("%6d\r", i); + fflush(stdout); + n = (rand() & 15) + 1; + mp_rand(&a, n); + if (mp_sqrt(&a, &b) != MP_OKAY) { + printf("mp_sqrt() error!\n"); + return 1; + } + mp_n_root(&a, 2, &a); + if (mp_cmp_mag(&b, &a) != MP_EQ) { + printf("mp_sqrt() bad result!\n"); + return 1; + } + } - // test mp_sqrt - printf("Testing: mp_sqrt\n"); - for (i=0;i<1000;++i) { - printf("%6d\r", i); fflush(stdout); - n = (rand()&15)+1; - mp_rand(&a,n); - if (mp_sqrt(&a,&b) != MP_OKAY) - { printf("mp_sqrt() error!\n"); - return 1; - } - mp_n_root(&a,2,&a); - if (mp_cmp_mag(&b,&a) != MP_EQ) - { printf("mp_sqrt() bad result!\n"); - return 1; - } - } + printf("\nTesting: mp_is_square\n"); + for (i = 0; i < 1000; ++i) { + printf("%6d\r", i); + fflush(stdout); - printf("\nTesting: mp_is_square\n"); - for (i=0;i<1000;++i) { - printf("%6d\r", i); fflush(stdout); + /* test mp_is_square false negatives */ + n = (rand() & 7) + 1; + mp_rand(&a, n); + mp_sqr(&a, &a); + if (mp_is_square(&a, &n) != MP_OKAY) { + printf("fn:mp_is_square() error!\n"); + return 1; + } + if (n == 0) { + printf("fn:mp_is_square() bad result!\n"); + return 1; + } - /* test mp_is_square false negatives */ - n = (rand()&7)+1; - mp_rand(&a,n); - mp_sqr(&a,&a); - if (mp_is_square(&a,&n)!=MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; - } - if (n==0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; - } + /* test for false positives */ + mp_add_d(&a, 1, &a); + if (mp_is_square(&a, &n) != MP_OKAY) { + printf("fp:mp_is_square() error!\n"); + return 1; + } + if (n == 1) { + printf("fp:mp_is_square() bad result!\n"); + return 1; + } - /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a,&n)!=MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; - } - if (n==1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; - } - - } - printf("\n\n"); + } + printf("\n\n"); /* test for size */ - for (ix = 10; ix < 256; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); fflush(stdout); - err = mp_prime_random_ex(&a, 8, ix, (rand()&1)?LTM_PRIME_2MSB_OFF:LTM_PRIME_2MSB_ON, myrng, NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } + for (ix = 10; ix < 128; ix++) { + printf("Testing (not safe-prime): %9d bits \r", ix); + fflush(stdout); + err = + mp_prime_random_ex(&a, 8, ix, + (rand() & 1) ? LTM_PRIME_2MSB_OFF : + LTM_PRIME_2MSB_ON, myrng, NULL); + if (err != MP_OKAY) { + printf("failed with err code %d\n", err); + return EXIT_FAILURE; + } + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); + return EXIT_FAILURE; + } } - for (ix = 16; ix < 256; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); fflush(stdout); - err = mp_prime_random_ex(&a, 8, ix, ((rand()&1)?LTM_PRIME_2MSB_OFF:LTM_PRIME_2MSB_ON)|LTM_PRIME_SAFE, myrng, NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); - if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; - } + for (ix = 16; ix < 128; ix++) { + printf("Testing ( safe-prime): %9d bits \r", ix); + fflush(stdout); + err = + mp_prime_random_ex(&a, 8, ix, + ((rand() & 1) ? LTM_PRIME_2MSB_OFF : + LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, + NULL); + if (err != MP_OKAY) { + printf("failed with err code %d\n", err); + return EXIT_FAILURE; + } + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); + return EXIT_FAILURE; + } + /* let's see if it's really a safe prime */ + mp_sub_d(&a, 1, &a); + mp_div_2(&a, &a); + mp_prime_is_prime(&a, 8, &cnt); + if (cnt != MP_YES) { + printf("sub is not prime!\n"); + return EXIT_FAILURE; + } } printf("\n\n"); @@ -194,51 +242,56 @@ printf("testing mp_cnt_lsb...\n"); mp_set(&a, 1); for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; - } - mp_mul_2(&a, &a); + if (mp_cnt_lsb(&a) != ix) { + printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); + return 0; + } + mp_mul_2(&a, &a); } /* test mp_reduce_2k */ printf("Testing mp_reduce_2k...\n"); for (cnt = 3; cnt <= 128; ++cnt) { - mp_digit tmp; - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ + mp_digit tmp; + + mp_2expt(&a, cnt); + mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); - for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) {printf("."); fflush(stdout); } - mp_rand(&b, (cnt/DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 1); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } - } - } + printf("\nTesting %4d bits", cnt); + printf("(%d)", mp_reduce_is_2k(&a)); + mp_reduce_2k_setup(&a, &tmp); + printf("(%d)", tmp); + for (ix = 0; ix < 1000; ix++) { + if (!(ix & 127)) { + printf("."); + fflush(stdout); + } + mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); + mp_copy(&c, &b); + mp_mod(&c, &a, &c); + mp_reduce_2k(&b, &a, 2); + if (mp_cmp(&c, &b)) { + printf("FAILED\n"); + exit(0); + } + } + } /* test mp_div_3 */ printf("Testing mp_div_3...\n"); mp_set(&d, 3); - for (cnt = 0; cnt < 10000; ) { + for (cnt = 0; cnt < 10000;) { mp_digit r1, r2; - if (!(++cnt & 127)) printf("%9d\r", cnt); + if (!(++cnt & 127)) + printf("%9d\r", cnt); mp_rand(&a, abs(rand()) % 128 + 1); mp_div(&a, &d, &b, &e); mp_div_3(&a, &c, &r2); if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); + printf("\n\nmp_div_3 => Failure\n"); } } printf("\n\nPassed div_3 testing\n"); @@ -246,270 +299,438 @@ /* test the DR reduction */ printf("testing mp_dr_reduce...\n"); for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); - for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; - } - a.used = cnt; - a.dp[0] = 3; + printf("%d digit modulus\n", cnt); + mp_grow(&a, cnt); + mp_zero(&a); + for (ix = 1; ix < cnt; ix++) { + a.dp[ix] = MP_MASK; + } + a.used = cnt; + a.dp[0] = 3; - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); + mp_rand(&b, cnt - 1); + mp_copy(&b, &c); rr = 0; do { - if (!(rr & 127)) { printf("%9lu\r", rr); fflush(stdout); } - mp_sqr(&b, &b); mp_add_d(&b, 1, &b); - mp_copy(&b, &c); + if (!(rr & 127)) { + printf("%9lu\r", rr); + fflush(stdout); + } + mp_sqr(&b, &b); + mp_add_d(&b, 1, &b); + mp_copy(&b, &c); - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit)1)<<DIGIT_BIT)-a.dp[0]); + mp_mod(&b, &a, &b); + mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); exit(-1); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("Failed on trial %lu\n", rr); + exit(-1); - } + } } while (++rr < 500); printf("Passed DR test for %d digits\n", cnt); } #endif +/* test the mp_reduce_2k_l code */ +#if 0 +#if 0 +/* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ + mp_2expt(&a, 1024); + mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); + mp_sub(&a, &b, &a); +#elif 1 +/* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ + mp_2expt(&a, 2048); + mp_read_radix(&b, + "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", + 16); + mp_sub(&a, &b, &a); +#endif + + mp_todecimal(&a, buf); + printf("p==%s\n", buf); +/* now mp_reduce_is_2k_l() should return */ + if (mp_reduce_is_2k_l(&a) != 1) { + printf("mp_reduce_is_2k_l() return 0, should be 1\n"); + return EXIT_FAILURE; + } + mp_reduce_2k_setup_l(&a, &d); + /* now do a million square+1 to see if it varies */ + mp_rand(&b, 64); + mp_mod(&b, &a, &b); + mp_copy(&b, &c); + printf("testing mp_reduce_2k_l..."); + fflush(stdout); + for (cnt = 0; cnt < (1UL << 20); cnt++) { + mp_sqr(&b, &b); + mp_add_d(&b, 1, &b); + mp_reduce_2k_l(&b, &a, &d); + mp_sqr(&c, &c); + mp_add_d(&c, 1, &c); + mp_mod(&c, &a, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("mp_reduce_2k_l() failed at step %lu\n", cnt); + mp_tohex(&b, buf); + printf("b == %s\n", buf); + mp_tohex(&c, buf); + printf("c == %s\n", buf); + return EXIT_FAILURE; + } + } + printf("...Passed\n"); +#endif + div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = - sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = sub_d_n= 0; + sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = + sub_d_n = 0; /* force KARA and TOOM to enable despite cutoffs */ KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 110; - TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 150; + TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 150; for (;;) { - /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ - switch (abs(rand()) % 7) { - case 0: mp_clear(&a); mp_init(&a); break; - case 1: mp_clear(&b); mp_init(&b); break; - case 2: mp_clear(&c); mp_init(&c); break; - case 3: mp_clear(&d); mp_init(&d); break; - case 4: mp_clear(&e); mp_init(&e); break; - case 5: mp_clear(&f); mp_init(&f); break; - case 6: break; /* don't clear any */ - } + /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ + switch (abs(rand()) % 7) { + case 0: + mp_clear(&a); + mp_init(&a); + break; + case 1: + mp_clear(&b); + mp_init(&b); + break; + case 2: + mp_clear(&c); + mp_init(&c); + break; + case 3: + mp_clear(&d); + mp_init(&d); + break; + case 4: + mp_clear(&e); + mp_init(&e); + break; + case 5: + mp_clear(&f); + mp_init(&f); + break; + case 6: + break; /* don't clear any */ + } - printf("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); - cmd[strlen(cmd)-1] = 0; - printf("%s ]\r",cmd); fflush(stdout); - if (!strcmp(cmd, "mul2d")) { ++mul2d_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); + printf + ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", + add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, + expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); + fgets(cmd, 4095, stdin); + cmd[strlen(cmd) - 1] = 0; + printf("%s ]\r", cmd); + fflush(stdout); + if (!strcmp(cmd, "mul2d")) { + ++mul2d_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + sscanf(buf, "%d", &rr); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); - mp_mul_2d(&a, rr, &a); - a.sign = b.sign; - if (mp_cmp(&a, &b) != MP_EQ) { - printf("mul2d failed, rr == %d\n",rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "div2d")) { ++div2d_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); + mp_mul_2d(&a, rr, &a); + a.sign = b.sign; + if (mp_cmp(&a, &b) != MP_EQ) { + printf("mul2d failed, rr == %d\n", rr); + draw(&a); + draw(&b); + return 0; + } + } else if (!strcmp(cmd, "div2d")) { + ++div2d_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + sscanf(buf, "%d", &rr); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); - mp_div_2d(&a, rr, &a, &e); - a.sign = b.sign; - if (a.used == b.used && a.used == 0) { a.sign = b.sign = MP_ZPOS; } - if (mp_cmp(&a, &b) != MP_EQ) { - printf("div2d failed, rr == %d\n",rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "add")) { ++add_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_add(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("add %lu failure!\n", add_n); -draw(&a);draw(&b);draw(&c);draw(&d); - return 0; - } + mp_div_2d(&a, rr, &a, &e); + a.sign = b.sign; + if (a.used == b.used && a.used == 0) { + a.sign = b.sign = MP_ZPOS; + } + if (mp_cmp(&a, &b) != MP_EQ) { + printf("div2d failed, rr == %d\n", rr); + draw(&a); + draw(&b); + return 0; + } + } else if (!strcmp(cmd, "add")) { + ++add_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_add(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("add %lu failure!\n", add_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return 0; + } - /* test the sign/unsigned storage functions */ + /* test the sign/unsigned storage functions */ - rr = mp_signed_bin_size(&c); - mp_to_signed_bin(&c, (unsigned char *)cmd); - memset(cmd+rr, rand()&255, sizeof(cmd)-rr); - mp_read_signed_bin(&d, (unsigned char *)cmd, rr); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mp_signed_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } + rr = mp_signed_bin_size(&c); + mp_to_signed_bin(&c, (unsigned char *) cmd); + memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); + mp_read_signed_bin(&d, (unsigned char *) cmd, rr); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("mp_signed_bin failure!\n"); + draw(&c); + draw(&d); + return 0; + } - rr = mp_unsigned_bin_size(&c); - mp_to_unsigned_bin(&c, (unsigned char *)cmd); - memset(cmd+rr, rand()&255, sizeof(cmd)-rr); - mp_read_unsigned_bin(&d, (unsigned char *)cmd, rr); - if (mp_cmp_mag(&c, &d) != MP_EQ) { - printf("mp_unsigned_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } + rr = mp_unsigned_bin_size(&c); + mp_to_unsigned_bin(&c, (unsigned char *) cmd); + memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); + mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); + if (mp_cmp_mag(&c, &d) != MP_EQ) { + printf("mp_unsigned_bin failure!\n"); + draw(&c); + draw(&d); + return 0; + } - } else if (!strcmp(cmd, "sub")) { ++sub_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_sub(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("sub %lu failure!\n", sub_n); -draw(&a);draw(&b);draw(&c);draw(&d); - return 0; - } - } else if (!strcmp(cmd, "mul")) { ++mul_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_mul(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mul %lu failure!\n", mul_n); -draw(&a);draw(&b);draw(&c);draw(&d); - return 0; - } - } else if (!strcmp(cmd, "div")) { ++div_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&d, buf, 64); + } else if (!strcmp(cmd, "sub")) { + ++sub_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_sub(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("sub %lu failure!\n", sub_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return 0; + } + } else if (!strcmp(cmd, "mul")) { + ++mul_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_mul(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("mul %lu failure!\n", mul_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return 0; + } + } else if (!strcmp(cmd, "div")) { + ++div_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&d, buf, 64); - mp_div(&a, &b, &e, &f); - if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { - printf("div %lu failure!\n", div_n); -draw(&a);draw(&b);draw(&c);draw(&d); draw(&e); draw(&f); - return 0; - } + mp_div(&a, &b, &e, &f); + if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { + printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), + mp_cmp(&d, &f)); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + draw(&e); + draw(&f); + return 0; + } - } else if (!strcmp(cmd, "sqr")) { ++sqr_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - mp_copy(&a, &c); - mp_sqr(&c, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sqr %lu failure!\n", sqr_n); -draw(&a);draw(&b);draw(&c); - return 0; - } - } else if (!strcmp(cmd, "gcd")) { ++gcd_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_gcd(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("gcd %lu failure!\n", gcd_n); -draw(&a);draw(&b);draw(&c);draw(&d); - return 0; - } - } else if (!strcmp(cmd, "lcm")) { ++lcm_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_lcm(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("lcm %lu failure!\n", lcm_n); - draw(&a);draw(&b);draw(&c);draw(&d); - return 0; - } - } else if (!strcmp(cmd, "expt")) { ++expt_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&d, buf, 64); - mp_copy(&a, &e); - mp_exptmod(&e, &b, &c, &e); - if (mp_cmp(&d, &e) != MP_EQ) { - printf("expt %lu failure!\n", expt_n); - draw(&a);draw(&b);draw(&c);draw(&d); draw(&e); - return 0; - } - } else if (!strcmp(cmd, "invmod")) { ++inv_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); - mp_invmod(&a, &b, &d); - mp_mulmod(&d,&a,&b,&e); - if (mp_cmp_d(&e, 1) != MP_EQ) { - printf("inv [wrong value from MPI?!] failure\n"); - draw(&a);draw(&b);draw(&c);draw(&d); - mp_gcd(&a, &b, &e); - draw(&e); - return 0; - } + } else if (!strcmp(cmd, "sqr")) { + ++sqr_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_copy(&a, &c); + mp_sqr(&c, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("sqr %lu failure!\n", sqr_n); + draw(&a); + draw(&b); + draw(&c); + return 0; + } + } else if (!strcmp(cmd, "gcd")) { + ++gcd_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_gcd(&d, &b, &d); + d.sign = c.sign; + if (mp_cmp(&c, &d) != MP_EQ) { + printf("gcd %lu failure!\n", gcd_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return 0; + } + } else if (!strcmp(cmd, "lcm")) { + ++lcm_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_lcm(&d, &b, &d); + d.sign = c.sign; + if (mp_cmp(&c, &d) != MP_EQ) { + printf("lcm %lu failure!\n", lcm_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return 0; + } + } else if (!strcmp(cmd, "expt")) { + ++expt_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&d, buf, 64); + mp_copy(&a, &e); + mp_exptmod(&e, &b, &c, &e); + if (mp_cmp(&d, &e) != MP_EQ) { + printf("expt %lu failure!\n", expt_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + draw(&e); + return 0; + } + } else if (!strcmp(cmd, "invmod")) { + ++inv_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_invmod(&a, &b, &d); + mp_mulmod(&d, &a, &b, &e); + if (mp_cmp_d(&e, 1) != MP_EQ) { + printf("inv [wrong value from MPI?!] failure\n"); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + mp_gcd(&a, &b, &e); + draw(&e); + return 0; + } - } else if (!strcmp(cmd, "div2")) { ++div2_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - mp_div_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("div_2 %lu failure\n", div2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "mul2")) { ++mul2_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - mp_mul_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("mul_2 %lu failure\n", mul2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "add_d")) { ++add_d_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - mp_add_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("add_d %lu failure\n", add_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } else if (!strcmp(cmd, "sub_d")) { ++sub_d_n; - fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); - mp_sub_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sub_d %lu failure\n", sub_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } + } else if (!strcmp(cmd, "div2")) { + ++div2_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_div_2(&a, &c); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("div_2 %lu failure\n", div2_n); + draw(&a); + draw(&b); + draw(&c); + return 0; + } + } else if (!strcmp(cmd, "mul2")) { + ++mul2_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_mul_2(&a, &c); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("mul_2 %lu failure\n", mul2_n); + draw(&a); + draw(&b); + draw(&c); + return 0; + } + } else if (!strcmp(cmd, "add_d")) { + ++add_d_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + sscanf(buf, "%d", &ix); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_add_d(&a, ix, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("add_d %lu failure\n", add_d_n); + draw(&a); + draw(&b); + draw(&c); + printf("d == %d\n", ix); + return 0; + } + } else if (!strcmp(cmd, "sub_d")) { + ++sub_d_n; + fgets(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + fgets(buf, 4095, stdin); + sscanf(buf, "%d", &ix); + fgets(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_sub_d(&a, ix, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("sub_d %lu failure\n", sub_d_n); + draw(&a); + draw(&b); + draw(&c); + printf("d == %d\n", ix); + return 0; + } + } } return 0; } -
--- a/demo/timing.c Sun Jan 02 17:09:26 2005 +0000 +++ b/demo/timing.c Wed May 11 16:15:27 2005 +0000 @@ -11,15 +11,16 @@ #endif -void ndraw(mp_int *a, char *name) +void ndraw(mp_int * a, char *name) { char buf[4096]; + printf("%s: ", name); mp_toradix(a, buf, 64); printf("%s\n", buf); } -static void draw(mp_int *a) +static void draw(mp_int * a) { ndraw(a, ""); } @@ -38,40 +39,39 @@ } } -#if defined(__i386__) || defined(_M_IX86) || defined(_M_AMD64) /* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC (void) - { - #if defined __GNUC__ - #ifdef __i386__ - ulong64 a; - __asm__ __volatile__ ("rdtsc ":"=A" (a)); - return a; - #else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - while (__builtin_expect ((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - return result; - #endif +static ulong64 TIMFUNC(void) +{ +#if defined __GNUC__ +#if defined(__i386__) || defined(__x86_64__) + unsigned long long a; + __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: + "m"(a):"%eax", "%edx"); + return a; +#else /* gcc-IA64 version */ + unsigned long result; + __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); + + while (__builtin_expect((int) result == -1, 0)) + __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); + + return result; +#endif // Microsoft and Intel Windows compilers - #elif defined _M_IX86 - __asm rdtsc - #elif defined _M_AMD64 - return __rdtsc (); - #elif defined _M_IA64 - #if defined __INTEL_COMPILER - #include <ia64intrin.h> - #endif - return __getReg (3116); - #else - #error need rdtsc function for this build - #endif - } +#elif defined _M_IX86 + __asm rdtsc +#elif defined _M_AMD64 + return __rdtsc(); +#elif defined _M_IA64 +#if defined __INTEL_COMPILER +#include <ia64intrin.h> +#endif + return __getReg(3116); #else -#define TIMFUNC clock +#error need rdtsc function for this build #endif +} #define DO(x) x; x; //#define DO4(x) DO2(x); DO2(x); @@ -81,7 +81,7 @@ int main(void) { ulong64 tt, gg, CLK_PER_SEC; - FILE *log, *logb, *logc; + FILE *log, *logb, *logc, *logd; mp_int a, b, c, d, e, f; int n, cnt, ix, old_kara_m, old_kara_s; unsigned rr; @@ -94,168 +94,191 @@ mp_init(&f); srand(time(NULL)); - + + + /* temp. turn off TOOM */ + TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; + + CLK_PER_SEC = TIMFUNC(); + sleep(1); + CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; - - CLK_PER_SEC = TIMFUNC(); - sleep(1); - CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; + printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); + goto exptmod; + log = fopen("logs/add.log", "w"); + for (cnt = 8; cnt <= 128; cnt += 8) { + SLEEP; + mp_rand(&a, cnt); + mp_rand(&b, cnt); + rr = 0; + tt = -1; + do { + gg = TIMFUNC(); + DO(mp_add(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100000); + printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + fflush(log); + } + fclose(log); - printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - - log = fopen("logs/add.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_add(&a,&b,&c)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; - } while (++rr < 100000); - printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, tt); fflush(log); + log = fopen("logs/sub.log", "w"); + for (cnt = 8; cnt <= 128; cnt += 8) { + SLEEP; + mp_rand(&a, cnt); + mp_rand(&b, cnt); + rr = 0; + tt = -1; + do { + gg = TIMFUNC(); + DO(mp_sub(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100000); + + printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + fflush(log); + } + fclose(log); + + /* do mult/square twice, first without karatsuba and second with */ + multtest: + old_kara_m = KARATSUBA_MUL_CUTOFF; + old_kara_s = KARATSUBA_SQR_CUTOFF; + for (ix = 0; ix < 2; ix++) { + printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); + + KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; + KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; + + log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); + for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { + SLEEP; + mp_rand(&a, cnt); + mp_rand(&b, cnt); + rr = 0; + tt = -1; + do { + gg = TIMFUNC(); + DO(mp_mul(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100); + printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); + fflush(log); } fclose(log); - log = fopen("logs/sub.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sub(&a,&b,&c)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; - } while (++rr < 100000); - - printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, tt); fflush(log); - } - fclose(log); - - /* do mult/square twice, first without karatsuba and second with */ - old_kara_m = KARATSUBA_MUL_CUTOFF; - old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 1; ix++) { - printf("With%s Karatsuba\n", (ix==0)?"out":""); - - KARATSUBA_MUL_CUTOFF = (ix==0)?9999:old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix==0)?9999:old_kara_s; - - log = fopen((ix==0)?"logs/mult.log":"logs/mult_kara.log", "w"); - for (cnt = 4; cnt <= 288; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_mul(&a, &b, &c)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; - } while (++rr < 100); - printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); fflush(log); - } - fclose(log); - - log = fopen((ix==0)?"logs/sqr.log":"logs/sqr_kara.log", "w"); - for (cnt = 4; cnt <= 288; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sqr(&a, &b)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; - } while (++rr < 100); - printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); fflush(log); + log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); + for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { + SLEEP; + mp_rand(&a, cnt); + rr = 0; + tt = -1; + do { + gg = TIMFUNC(); + DO(mp_sqr(&a, &b)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100); + printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); + fflush(log); } fclose(log); } + exptmod: - { + { char *primes[] = { - /* 2K moduli mersenne primes */ - "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", - "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", - "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", - "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", - "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", - "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", + /* 2K large moduli */ + "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", + "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", + "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", + /* 2K moduli mersenne primes */ + "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", + "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", + "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", + "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", + "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", + "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", - /* DR moduli */ - "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", - "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", - "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", - 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+ /* DR moduli */ + "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", + "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", + "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", + 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- /* generic unrestricted moduli */ - "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", - "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", - "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", - 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+ NULL }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - for (n = 0; primes[n]; n++) { - SLEEP; - mp_read_radix(&a, primes[n], 10); - mp_zero(&b); - for (rr = 0; rr < (unsigned)mp_count_bits(&a); rr++) { - mp_mul_2(&b, &b); - b.dp[0] |= lbit(); - b.used += 1; + log = fopen("logs/expt.log", "w"); + logb = fopen("logs/expt_dr.log", "w"); + logc = fopen("logs/expt_2k.log", "w"); + logd = fopen("logs/expt_2kl.log", "w"); + for (n = 0; primes[n]; n++) { + SLEEP; + mp_read_radix(&a, primes[n], 10); + mp_zero(&b); + for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { + mp_mul_2(&b, &b); + b.dp[0] |= lbit(); + b.used += 1; + } + mp_sub_d(&a, 1, &c); + mp_mod(&b, &c, &b); + mp_set(&c, 3); + rr = 0; + tt = -1; + do { + gg = TIMFUNC(); + DO(mp_exptmod(&c, &b, &a, &d)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 10); + mp_sub_d(&a, 1, &e); + mp_sub(&e, &b, &b); + mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ + mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ + if (mp_cmp_d(&d, 1)) { + printf("Different (%d)!!!\n", mp_count_bits(&a)); + draw(&d); + exit(0); + } + printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, + "%d %9llu\n", mp_count_bits(&a), tt); } - mp_sub_d(&a, 1, &c); - mp_mod(&b, &c, &b); - mp_set(&c, 3); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_exptmod(&c, &b, &a, &d)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; - } while (++rr < 10); - mp_sub_d(&a, 1, &e); - mp_sub(&e, &b, &b); - mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ - mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ - if (mp_cmp_d(&d, 1)) { - printf("Different (%d)!!!\n", mp_count_bits(&a)); - draw(&d); - exit(0); - } - printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf((n < 6) ? logc : (n < 13) ? logb : log, "%d %9llu\n", mp_count_bits(&a), tt); - } } fclose(log); fclose(logb); fclose(logc); + fclose(logd); log = fopen("logs/invmod.log", "w"); for (cnt = 4; cnt <= 128; cnt += 4) { @@ -264,28 +287,29 @@ mp_rand(&b, cnt); do { - mp_add_d(&b, 1, &b); - mp_gcd(&a, &b, &c); + mp_add_d(&b, 1, &b); + mp_gcd(&a, &b, &c); } while (mp_cmp_d(&c, 1) != MP_EQ); - rr = 0; - tt = -1; + rr = 0; + tt = -1; do { - gg = TIMFUNC(); - DO(mp_invmod(&b, &a, &c)); - gg = (TIMFUNC() - gg)>>1; - if (tt > gg) tt = gg; + gg = TIMFUNC(); + DO(mp_invmod(&b, &a, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; } while (++rr < 1000); mp_mulmod(&b, &c, &a, &d); if (mp_cmp_d(&d, 1) != MP_EQ) { - printf("Failed to invert\n"); - return 0; + printf("Failed to invert\n"); + return 0; } - printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC/tt, tt); - fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, tt); + printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); } fclose(log); return 0; } -
--- a/dep.pl Sun Jan 02 17:09:26 2005 +0000 +++ b/dep.pl Wed May 11 16:15:27 2005 +0000 @@ -13,6 +13,8 @@ foreach my $filename (glob "bn*.c") { my $define = $filename; +print "Processing $filename\n"; + # convert filename to upper case so we can use it as a define $define =~ tr/[a-z]/[A-Z]/; $define =~ tr/\./_/;
--- a/etc/mersenne.c Sun Jan 02 17:09:26 2005 +0000 +++ b/etc/mersenne.c Wed May 11 16:15:27 2005 +0000 @@ -18,15 +18,15 @@ } if ((res = mp_init (&u)) != MP_OKAY) { - goto __N; + goto LBL_N; } /* n = 2^s - 1 */ if ((res = mp_2expt(&n, s)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } /* set u=4 */ @@ -36,22 +36,22 @@ for (k = 1; k <= s - 2; k++) { /* u = u^2 - 2 mod n */ if ((res = mp_sqr (&u, &u)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } /* make sure u is positive */ while (u.sign == MP_NEG) { if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } } /* reduce */ if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } } @@ -62,8 +62,8 @@ } res = MP_OKAY; -__MU:mp_clear (&u); -__N:mp_clear (&n); +LBL_MU:mp_clear (&u); +LBL_N:mp_clear (&n); return res; }
--- a/etc/pprime.c Sun Jan 02 17:09:26 2005 +0000 +++ b/etc/pprime.c Wed May 11 16:15:27 2005 +0000 @@ -189,7 +189,7 @@ } if ((res = mp_init (&v)) != MP_OKAY) { - goto __C; + goto LBL_C; } /* product of first 50 primes */ @@ -197,34 +197,34 @@ mp_read_radix (&v, "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", 10)) != MP_OKAY) { - goto __V; + goto LBL_V; } if ((res = mp_init (&a)) != MP_OKAY) { - goto __V; + goto LBL_V; } /* set the prime */ mp_set (&a, prime_digit ()); if ((res = mp_init (&b)) != MP_OKAY) { - goto __A; + goto LBL_A; } if ((res = mp_init (&n)) != MP_OKAY) { - goto __B; + goto LBL_B; } if ((res = mp_init (&x)) != MP_OKAY) { - goto __N; + goto LBL_N; } if ((res = mp_init (&y)) != MP_OKAY) { - goto __X; + goto LBL_X; } if ((res = mp_init (&z)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* now loop making the single digit */ @@ -236,25 +236,25 @@ /* now compute z = a * b * 2 */ if ((res = mp_mul (&a, &b, &z)) != MP_OKAY) { /* z = a * b */ - goto __Z; + goto LBL_Z; } if ((res = mp_copy (&z, &c)) != MP_OKAY) { /* c = a * b */ - goto __Z; + goto LBL_Z; } if ((res = mp_mul_2 (&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ - goto __Z; + goto LBL_Z; } /* n = z + 1 */ if ((res = mp_add_d (&z, 1, &n)) != MP_OKAY) { /* n = z + 1 */ - goto __Z; + goto LBL_Z; } /* check (n, v) == 1 */ if ((res = mp_gcd (&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ - goto __Z; + goto LBL_Z; } if (mp_cmp_d (&y, 1) != MP_EQ) @@ -266,7 +266,7 @@ /* compute x^a mod n */ if ((res = mp_exptmod (&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ - goto __Z; + goto LBL_Z; } /* if y == 1 loop */ @@ -275,7 +275,7 @@ /* now x^2a mod n */ if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ - goto __Z; + goto LBL_Z; } if (mp_cmp_d (&y, 1) == MP_EQ) @@ -283,7 +283,7 @@ /* compute x^b mod n */ if ((res = mp_exptmod (&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ - goto __Z; + goto LBL_Z; } /* if y == 1 loop */ @@ -292,7 +292,7 @@ /* now x^2b mod n */ if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ - goto __Z; + goto LBL_Z; } if (mp_cmp_d (&y, 1) == MP_EQ) @@ -300,7 +300,7 @@ /* compute x^c mod n == x^ab mod n */ if ((res = mp_exptmod (&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ - goto __Z; + goto LBL_Z; } /* if y == 1 loop */ @@ -309,7 +309,7 @@ /* now compute (x^c mod n)^2 */ if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ - goto __Z; + goto LBL_Z; } /* y should be 1 */ @@ -346,14 +346,14 @@ mp_exch (&n, p); res = MP_OKAY; -__Z:mp_clear (&z); -__Y:mp_clear (&y); -__X:mp_clear (&x); -__N:mp_clear (&n); -__B:mp_clear (&b); -__A:mp_clear (&a); -__V:mp_clear (&v); -__C:mp_clear (&c); +LBL_Z:mp_clear (&z); +LBL_Y:mp_clear (&y); +LBL_X:mp_clear (&x); +LBL_N:mp_clear (&n); +LBL_B:mp_clear (&b); +LBL_A:mp_clear (&a); +LBL_V:mp_clear (&v); +LBL_C:mp_clear (&c); return res; }
--- a/etc/tune.c Sun Jan 02 17:09:26 2005 +0000 +++ b/etc/tune.c Wed May 11 16:15:27 2005 +0000 @@ -10,13 +10,44 @@ */ #define TIMES (1UL<<14UL) +/* RDTSC from Scott Duplichan */ +static ulong64 TIMFUNC (void) + { + #if defined __GNUC__ + #if defined(__i386__) || defined(__x86_64__) + unsigned long long a; + __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); + return a; + #else /* gcc-IA64 version */ + unsigned long result; + __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); + while (__builtin_expect ((int) result == -1, 0)) + __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); + return result; + #endif + + // Microsoft and Intel Windows compilers + #elif defined _M_IX86 + __asm rdtsc + #elif defined _M_AMD64 + return __rdtsc (); + #elif defined _M_IA64 + #if defined __INTEL_COMPILER + #include <ia64intrin.h> + #endif + return __getReg (3116); + #else + #error need rdtsc function for this build + #endif + } + #ifndef X86_TIMER /* generic ISO C timer */ -ulong64 __T; -void t_start(void) { __T = clock(); } -ulong64 t_read(void) { return clock() - __T; } +ulong64 LBL_T; +void t_start(void) { LBL_T = TIMFUNC(); } +ulong64 t_read(void) { return TIMFUNC() - LBL_T; } #else extern void t_start(void);
--- a/logs/add.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/add.log Wed May 11 16:15:27 2005 +0000 @@ -1,16 +1,16 @@ -224 222 -448 330 -672 436 -896 520 -1120 612 -1344 696 -1568 810 -1792 912 -2016 1006 -2240 1116 -2464 1152 -2688 1284 -2912 1348 -3136 1486 -3360 1580 -3584 1636 +480 87 +960 111 +1440 135 +1920 159 +2400 200 +2880 224 +3360 248 +3840 272 +4320 296 +4800 320 +5280 344 +5760 368 +6240 392 +6720 416 +7200 440 +7680 464
--- a/logs/expt.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/expt.log Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,7 @@ +513 1489160 +769 3688476 +1025 8162061 +2049 49260015 +2561 89579052 +3073 148797060 +4097 324449263
--- a/logs/expt_2k.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/expt_2k.log Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,5 @@ +607 2272809 +1279 9557382 +2203 36250309 +3217 87666486 +4253 174168369
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/logs/expt_2kl.log Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,4 @@ +1024 6954080 +2048 35993987 +4096 176068521 +521 1683720
--- a/logs/expt_dr.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/expt_dr.log Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,7 @@ +532 1989592 +784 3898697 +1036 6519700 +1540 15676650 +2072 33128187 +3080 82963362 +4116 168358337
--- a/logs/mult.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/mult.log Wed May 11 16:15:27 2005 +0000 @@ -1,143 +1,84 @@ -140 1272 -195 1428 -252 1996 -307 2586 -364 3464 -420 4420 -476 5260 -532 6430 -588 7692 -644 8704 -699 10226 -755 11670 -812 13190 -865 14834 -924 16738 -979 18362 -1036 20660 -1092 22776 -1148 24848 -1204 27168 -1260 29930 -1316 32258 -1370 35172 -1422 37534 -1482 40390 -1537 43990 -1589 46946 -1652 50438 -1703 52902 -1764 56646 -1820 59892 -1876 63248 -1932 66872 -1988 72596 -2042 74662 -2100 78512 -2156 82944 -2211 87444 -2268 92170 -2324 95534 -2380 100484 -2435 105024 -2491 109460 -2546 114154 -2603 118946 -2660 124110 -2716 129300 -2771 134274 -2828 139594 -2883 145234 -2939 150332 -2996 155750 -3048 161718 -3108 167492 -3162 173882 -3219 179766 -3276 185560 -3330 191826 -3388 197822 -3442 204176 -3500 210682 -3556 217236 -3612 223484 -3666 230714 -3724 237744 -3779 244080 -3835 250970 -3890 257914 -3947 265162 -4001 272128 -4060 279108 -4116 287606 -4171 294716 -4227 302806 -4284 310260 -4340 318564 -4395 326164 -4443 334034 -4508 342108 -4561 351810 -4618 358828 -4675 367332 -4732 376140 -4787 384172 -4841 393308 -4899 402036 -4955 411286 -5010 420290 -5067 429688 -5124 438810 -5180 448130 -5235 457264 -5290 467390 -5348 476586 -5404 486120 -5459 496512 -5516 506624 -5569 516346 -5628 526604 -5684 536544 -5740 546936 -5796 557284 -5852 568106 -5907 578824 -5963 589204 -6019 600176 -6076 610564 -6127 621972 -6188 633564 -6244 644730 -6300 655288 -6354 667402 -6412 678824 -6467 690594 -6522 702718 -6580 714148 -6636 725608 -6690 737834 -6747 750100 -6804 762202 -6860 774184 -6916 787298 -6971 798734 -7028 811162 -7083 824570 -7139 837738 -7196 2579488 -7245 2626714 -7308 2643582 -7364 2698746 -7416 2734106 -7476 2773372 -7530 2816738 -7588 2859204 -7643 2938596 -7698 2919716 -7754 2988542 -7812 3026520 -7867 3058304 -7924 3115790 -7977 3161450 -8035 3203138 -8092 3244056 +271 555 +390 855 +508 1161 +631 1605 +749 2117 +871 2687 +991 3329 +1108 4084 +1231 4786 +1351 5624 +1470 6392 +1586 7364 +1710 8218 +1830 9255 +1951 10217 +2067 11461 +2191 12463 +2308 13677 +2430 14800 +2551 16232 +2671 17460 +2791 18899 +2902 20247 +3028 21902 +3151 23240 +3267 24927 +3391 26441 +3511 28277 +3631 29838 +3749 31751 +3869 33673 +3989 35431 +4111 37518 +4231 39426 +4349 41504 +4471 43567 +4591 45786 +4711 47876 +4831 50299 +4951 52427 +5071 54785 +5189 57241 +5307 59730 +5431 62194 +5551 64761 +5670 67322 +5789 70073 +5907 72663 +6030 75437 +6151 78242 +6268 81202 +6389 83948 +6509 86985 +6631 89903 +6747 93184 +6869 96044 +6991 99286 +7109 102395 +7229 105917 +7351 108940 +7470 112490 +7589 115702 +7711 119508 +7831 122632 +7951 126410 +8071 129808 +8190 133895 +8311 137146 +8431 141218 +8549 144732 +8667 149131 +8790 152462 +8911 156754 +9030 160479 +9149 165138 +9271 168601 +9391 173185 +9511 176988 +9627 181976 +9751 185539 +9870 190388 +9991 194335 +10110 199605 +10228 203298
--- a/logs/mult_kara.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/mult_kara.log Wed May 11 16:15:27 2005 +0000 @@ -1,33 +1,84 @@ -924 16686 -1146 25334 -1371 35304 -1591 47122 -1820 61500 -2044 75254 -2266 91732 -2492 111656 -2716 129428 -2937 147508 -3164 167758 -3388 188248 -3612 210826 -3836 233814 -4059 256898 -4284 280210 -4508 310372 -4731 333902 -4955 376502 -5179 402854 -5404 432004 -5626 459010 -5849 491868 -6076 520550 -6300 547400 -6524 575968 -6747 608482 -6971 642850 -7196 673670 -7419 710680 -7644 743942 -7868 780394 -8092 817342 +271 560 +391 870 +511 1159 +631 1605 +750 2111 +871 2737 +991 3361 +1111 4054 +1231 4778 +1351 5600 +1471 6404 +1591 7323 +1710 8255 +1831 9239 +1948 10257 +2070 11397 +2190 12531 +2308 13665 +2429 14870 +2550 16175 +2671 17539 +2787 18879 +2911 20350 +3031 21807 +3150 23415 +3270 24897 +3388 26567 +3511 28205 +3627 30076 +3751 31744 +3869 33657 +3991 35425 +4111 37522 +4229 39363 +4351 41503 +4470 43491 +4590 45827 +4711 47795 +4828 50166 +4951 52318 +5070 54911 +5191 57036 +5308 58237 +5431 60248 +5551 62678 +5671 64786 +5791 67294 +5908 69343 +6031 71607 +6151 74166 +6271 76590 +6391 78734 +6511 81175 +6631 83742 +6750 86403 +6868 88873 +6990 91150 +7110 94211 +7228 96922 +7351 99445 +7469 102216 +7589 104968 +7711 108113 +7827 110758 +7950 113714 +8071 116511 +8186 119643 +8310 122679 +8425 125581 +8551 128715 +8669 131778 +8788 135116 +8910 138138 +9031 141628 +9148 144754 +9268 148367 +9391 151551 +9511 155033 +9631 158652 +9751 162125 +9871 165248 +9988 168627 +10111 172427 +10231 176412
--- a/logs/sqr.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/sqr.log Wed May 11 16:15:27 2005 +0000 @@ -1,143 +1,84 @@ -139 806 -195 1212 -252 1604 -307 2260 -364 2892 -420 3308 -476 4152 -532 4814 -588 5754 -644 6684 -700 7226 -756 8324 -808 9092 -866 10068 -924 11204 -976 12918 -1036 13656 -1092 15248 -1148 15956 -1204 17270 -1260 19894 -1316 20516 -1370 21864 -1428 25554 -1483 26138 -1540 27086 -1596 29246 -1652 32210 -1707 32704 -1764 35142 -1820 39050 -1876 39256 -1931 41574 -1985 45070 -2044 46352 -2099 48114 -2155 51332 -2212 53268 -2267 55890 -2324 59054 -2380 60206 -2434 63540 -2491 66084 -2547 68590 -2604 74332 -2660 74784 -2715 77974 -2772 79924 -2826 82914 -2884 87210 -2929 89076 -2996 92480 -3052 96814 -3108 99990 -3162 102550 -3219 105396 -3276 109284 -3332 113752 -3387 116628 -3444 120782 -3500 122938 -3556 127940 -3612 303656 -3667 312212 -3724 324376 -3779 329204 -3833 340910 -3892 353850 -3943 362348 -4003 367780 -4056 380448 -4114 393616 -4172 404104 -4227 415148 -4284 409770 -4339 436648 -4394 442970 -4451 463096 -4507 472056 -4564 485780 -4616 496286 -4675 507612 -4732 519524 -4788 536768 -4843 542754 -4899 553090 -4956 571986 -5012 586340 -5068 599606 -5124 613670 -5179 624256 -5235 636266 -5292 655518 -5348 668142 -5403 677266 -5460 696040 -5516 712772 -5570 723942 -5628 739052 -5684 755350 -5739 769962 -5790 775258 -5851 790128 -5908 814536 -5962 827278 -6018 844510 -6076 851606 -6130 865748 -6188 894752 -6244 900474 -6300 928174 -6356 928440 -6410 957758 -6468 981134 -6524 994088 -6580 1011124 -6636 1027178 -6692 1045466 -6747 1056910 -6804 1083784 -6860 1104706 -6915 1116450 -6972 1137894 -7028 1154670 -7084 1158064 -7138 1188734 -7196 1214218 -7249 1226822 -7307 1247528 -7363 1255338 -7420 1291104 -7475 1297940 -7532 1324994 -7587 1340274 -7644 1342596 -7698 1381418 -7756 1382904 -7812 1432588 -7867 1443632 -7922 1465092 -7979 1496804 -8036 1520142 -8092 1539566 +265 562 +389 882 +509 1207 +631 1572 +750 1990 +859 2433 +991 2894 +1109 3555 +1230 4228 +1350 5018 +1471 5805 +1591 6579 +1709 7415 +1829 8329 +1949 9225 +2071 10139 +2188 11239 +2309 12178 +2431 13212 +2551 14294 +2671 15551 +2791 16512 +2911 17718 +3030 18876 +3150 20259 +3270 21374 +3391 22650 +3511 23948 +3631 25493 +3750 26756 +3870 28225 +3989 29705 +4110 31409 +4230 32834 +4351 34327 +4471 35818 +4591 37636 +4711 39228 +4830 40868 +4949 42393 +5070 44541 +5191 46269 +5310 48162 +5429 49728 +5548 51985 +5671 53948 +5791 55885 +5910 57584 +6031 60082 +6150 62239 +6270 64309 +6390 66014 +6511 68766 +6631 71012 +6750 73172 +6871 74952 +6991 77909 +7111 80371 +7231 82666 +7351 84531 +7469 87698 +7589 90318 +7711 225384 +7830 232428 +7950 240009 +8070 246522 +8190 253662 +8310 260961 +8431 269253 +8549 275743 +8671 283769 +8789 290811 +8911 300034 +9030 306873 +9149 315085 +9270 323944 +9390 332390 +9508 337519 +9631 348986 +9749 356904 +9871 367013 +9989 373831 +10108 381033 +10230 393475
--- a/logs/sqr_kara.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/sqr_kara.log Wed May 11 16:15:27 2005 +0000 @@ -1,33 +1,84 @@ -922 11272 -1148 16004 -1370 21958 -1596 28684 -1817 37832 -2044 46386 -2262 56218 -2492 66388 -2716 77478 -2940 89380 -3163 103680 -3385 116274 -3612 135334 -3836 151332 -4057 164938 -4284 183178 -4508 198864 -4731 215222 -4954 231986 -5180 251660 -5404 269414 -5626 288454 -5850 307806 -6076 329458 -6299 347726 -6523 369864 -6748 387832 -6971 413010 -7194 453310 -7415 476936 -7643 497118 -7867 521394 -8091 540224 +271 560 +388 878 +511 1179 +629 1625 +751 1988 +871 2423 +989 2896 +1111 3561 +1231 4209 +1350 5015 +1470 5804 +1591 6556 +1709 7420 +1831 8263 +1951 9173 +2070 10153 +2191 11229 +2310 12167 +2431 13211 +2550 14309 +2671 15524 +2788 16525 +2910 17712 +3028 18822 +3148 20220 +3271 21343 +3391 22652 +3511 23944 +3630 25485 +3750 26778 +3868 28201 +3990 29653 +4111 31393 +4225 32841 +4350 34328 +4471 35786 +4590 37652 +4711 39245 +4830 40876 +4951 42433 +5068 44547 +5191 46321 +5311 48140 +5430 49727 +5550 52034 +5671 53954 +5791 55921 +5908 57597 +6031 60084 +6148 62226 +6270 64295 +6390 66045 +6511 68779 +6629 71003 +6751 73169 +6871 74992 +6991 77895 +7110 80376 +7231 82628 +7351 84468 +7470 87664 +7591 90284 +7711 91352 +7828 93995 +7950 96276 +8071 98691 +8190 101256 +8308 103631 +8431 105222 +8550 108343 +8671 110281 +8787 112764 +8911 115397 +9031 117690 +9151 120266 +9271 122715 +9391 124624 +9510 127937 +9630 130313 +9750 132914 +9871 136129 +9991 138517 +10108 141525 +10231 144225
--- a/logs/sub.log Sun Jan 02 17:09:26 2005 +0000 +++ b/logs/sub.log Wed May 11 16:15:27 2005 +0000 @@ -1,16 +1,16 @@ -224 216 -448 324 -672 428 -896 532 -1120 648 -1344 766 -1568 862 -1792 928 -2016 1070 -2240 1128 -2464 1250 -2688 1344 -2912 1436 -3136 1542 -3360 1628 -3584 1696 +480 94 +960 116 +1440 140 +1920 164 +2400 205 +2880 229 +3360 253 +3840 277 +4320 299 +4800 321 +5280 345 +5760 371 +6240 395 +6720 419 +7200 441 +7680 465
--- a/makefile.bcc Sun Jan 02 17:09:26 2005 +0000 +++ b/makefile.bcc Wed May 11 16:15:27 2005 +0000 @@ -27,11 +27,13 @@ bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj +bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ +bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj TARGET = libtommath.lib
--- a/makefile.cygwin_dll Sun Jan 02 17:09:26 2005 +0000 +++ b/makefile.cygwin_dll Wed May 11 16:15:27 2005 +0000 @@ -32,11 +32,13 @@ bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ 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 \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o +bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ +bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o # make a Windows DLL via Cygwin windll: $(OBJECTS)
--- a/makefile.icc Sun Jan 02 17:09:26 2005 +0000 +++ b/makefile.icc Wed May 11 16:15:27 2005 +0000 @@ -21,6 +21,10 @@ # Default to just generic max opts CFLAGS += -O3 -xN +#install as this user +USER=root +GROUP=root + default: libtommath.a #default files to install @@ -55,11 +59,13 @@ bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ 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 \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o +bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ +bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o libtommath.a: $(OBJECTS) $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) @@ -89,10 +95,10 @@ ranlib libtommath.a install: libtommath.a - install -d -g root -o root $(DESTDIR)$(LIBPATH) - install -d -g root -o root $(DESTDIR)$(INCPATH) - install -g root -o root $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g root -o root $(HEADERS) $(DESTDIR)$(INCPATH) + install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) + install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) + install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) test: libtommath.a demo/demo.o $(CC) demo/demo.o libtommath.a -o test
--- a/makefile.msvc Sun Jan 02 17:09:26 2005 +0000 +++ b/makefile.msvc Wed May 11 16:15:27 2005 +0000 @@ -26,11 +26,13 @@ bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj +bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ +bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj library: $(OBJECTS) lib /out:tommath.lib $(OBJECTS)
--- a/makefile.shared Sun Jan 02 17:09:26 2005 +0000 +++ b/makefile.shared Wed May 11 16:15:27 2005 +0000 @@ -1,10 +1,9 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:32 +VERSION=0:35 CC = libtool --mode=compile gcc - CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare #for speed @@ -16,11 +15,15 @@ #x86 optimizations [should be valid for any GCC install though] CFLAGS += -fomit-frame-pointer +#install as this user +USER=root +GROUP=root + default: libtommath.la #default files to install LIBNAME=libtommath.la -HEADERS=tommath.h +HEADERS=tommath.h tommath_class.h tommath_superclass.h #LIBPATH-The directory for libtommath to be installed to. #INCPATH-The directory to install the header files for libtommath. @@ -50,18 +53,21 @@ bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ 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 \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o +bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ +bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o + libtommath.la: $(OBJECTS) libtool --mode=link gcc *.lo -o libtommath.la -rpath $(LIBPATH) -version-info $(VERSION) libtool --mode=link gcc *.o -o libtommath.a libtool --mode=install install -c libtommath.la $(LIBPATH)/libtommath.la - install -d -g root -o root $(DESTDIR)$(INCPATH) - install -g root -o root $(HEADERS) $(DESTDIR)$(INCPATH) + install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) + install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) test: libtommath.a demo/demo.o gcc $(CFLAGS) -c demo/demo.c -o demo/demo.o
--- a/mtest/mtest.c Sun Jan 02 17:09:26 2005 +0000 +++ b/mtest/mtest.c Wed May 11 16:15:27 2005 +0000 @@ -46,7 +46,7 @@ int n, size; unsigned char buf[2048]; - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 1031; + size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; buf[0] = (fgetc(rng)&1)?1:0; fread(buf+1, 1, size, rng); while (buf[1] == 0) buf[1] = fgetc(rng); @@ -58,7 +58,7 @@ int n, size; unsigned char buf[2048]; - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 97; + size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; buf[0] = (fgetc(rng)&1)?1:0; fread(buf+1, 1, size, rng); while (buf[1] == 0) buf[1] = fgetc(rng);
--- a/pre_gen/mpi.c Sun Jan 02 17:09:26 2005 +0000 +++ b/pre_gen/mpi.c Wed May 11 16:15:27 2005 +0000 @@ -69,8 +69,7 @@ * Based on slow invmod except this is optimized for the case where b is * odd as per HAC Note 14.64 on pp. 610 */ -int -fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) +int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) { mp_int x, y, u, v, B, D; int res, neg; @@ -87,20 +86,20 @@ /* x == modulus, y == value to invert */ if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* we need y = |a| */ - if ((res = mp_abs (a, &y)) != MP_OKAY) { - goto __ERR; + if ((res = mp_mod (a, b, &y)) != MP_OKAY) { + goto LBL_ERR; } /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } mp_set (&D, 1); @@ -109,17 +108,17 @@ while (mp_iseven (&u) == 1) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 4.2 if B is odd then */ if (mp_isodd (&B) == 1) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* B = B/2 */ if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -127,18 +126,18 @@ while (mp_iseven (&v) == 1) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 5.2 if D is odd then */ if (mp_isodd (&D) == 1) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* D = D/2 */ if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -146,20 +145,20 @@ if (mp_cmp (&u, &v) != MP_LT) { /* u = u - v, B = B - D */ if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } else { /* v - v - u, D = D - B */ if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -173,21 +172,21 @@ /* if v != 1 then there is no inverse */ if (mp_cmp_d (&v, 1) != MP_EQ) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* b is now the inverse */ neg = a->sign; while (D.sign == MP_NEG) { if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } mp_exch (&D, c); c->sign = neg; res = MP_OKAY; -__ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); return res; } #endif @@ -220,8 +219,7 @@ * * Based on Algorithm 14.32 on pp.601 of HAC. */ -int -fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) { int ix, res, olduse; mp_word W[MP_WARRAY]; @@ -401,8 +399,7 @@ * Based on Algorithm 14.12 on pp.595 of HAC. * */ -int -fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; @@ -420,7 +417,7 @@ /* clear the carry */ _W = 0; - for (ix = 0; ix <= pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty; int iy; mp_digit *tmpx, *tmpy; @@ -433,7 +430,7 @@ tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -450,14 +447,17 @@ _W = _W >> ((mp_word)DIGIT_BIT); } + /* store final carry */ + W[ix] = (mp_digit)(_W & MP_MASK); + /* setup dest */ olduse = c->used; - c->used = digs; + c->used = pa; { register mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < digs; ix++) { + for (ix = 0; ix < pa+1; ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -501,8 +501,7 @@ * * Based on Algorithm 14.12 on pp.595 of HAC. */ -int -fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; @@ -519,7 +518,7 @@ /* number of output digits to produce */ pa = a->used + b->used; _W = 0; - for (ix = digs; ix <= pa; ix++) { + for (ix = digs; ix < pa; ix++) { int tx, ty, iy; mp_digit *tmpx, *tmpy; @@ -547,6 +546,9 @@ /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); } + + /* store final carry */ + W[ix] = (mp_digit)(_W & MP_MASK); /* setup dest */ olduse = c->used; @@ -591,33 +593,14 @@ * Tom St Denis, [email protected], http://math.libtomcrypt.org */ -/* fast squaring - * - * This is the comba method where the columns of the product - * are computed first then the carries are computed. This - * has the effect of making a very simple inner loop that - * is executed the most - * - * W2 represents the outer products and W the inner. - * - * A further optimizations is made because the inner - * products are of the form "A * B * 2". The *2 part does - * not need to be computed until the end which is good - * because 64-bit shifts are slow! - * - * Based on Algorithm 14.16 on pp.597 of HAC. - * - */ /* 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 + * 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. - -Remove W2 and don't memset W - */ int fast_s_mp_sqr (mp_int * a, mp_int * b) @@ -636,7 +619,7 @@ /* number of output digits to produce */ W1 = 0; - for (ix = 0; ix <= pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty, iy; mp_word _W; mp_digit *tmpy; @@ -652,7 +635,7 @@ tmpx = a->dp + tx; tmpy = a->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -677,7 +660,7 @@ } /* store it */ - W[ix] = _W; + W[ix] = (mp_digit)(_W & MP_MASK); /* make next carry */ W1 = _W >> ((mp_word)DIGIT_BIT); @@ -1539,23 +1522,23 @@ mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_copy(a, &ta)) != MP_OKAY) || - ((res = mp_copy(b, &tb)) != MP_OKAY) || + if (((res = mp_abs(a, &ta)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } while (n-- >= 0) { if (mp_cmp(&tb, &ta) != MP_GT) { if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } } if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto __ERR; + goto LBL_ERR; } } @@ -1564,13 +1547,13 @@ n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); if (c != NULL) { mp_exch(c, &q); - c->sign = n2; + c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; } if (d != NULL) { mp_exch(d, &ta); - d->sign = n; - } -__ERR: + d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; + } +LBL_ERR: mp_clear_multi(&ta, &tb, &tq, &q, NULL); return res; } @@ -1619,19 +1602,19 @@ q.used = a->used + 2; if ((res = mp_init (&t1)) != MP_OKAY) { - goto __Q; + goto LBL_Q; } if ((res = mp_init (&t2)) != MP_OKAY) { - goto __T1; + goto LBL_T1; } if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto __T2; + goto LBL_T2; } if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto __X; + goto LBL_X; } /* fix the sign */ @@ -1643,10 +1626,10 @@ if (norm < (int)(DIGIT_BIT-1)) { norm = (DIGIT_BIT-1) - norm; if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } } else { norm = 0; @@ -1658,13 +1641,13 @@ /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto __Y; + goto LBL_Y; } while (mp_cmp (&x, &y) != MP_LT) { ++(q.dp[n - t]); if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } } @@ -1706,7 +1689,7 @@ t1.dp[1] = y.dp[t]; t1.used = 2; if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* find right hand */ @@ -1718,27 +1701,27 @@ /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ if (x.sign == MP_NEG) { if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; @@ -1765,11 +1748,11 @@ res = MP_OKAY; -__Y:mp_clear (&y); -__X:mp_clear (&x); -__T2:mp_clear (&t2); -__T1:mp_clear (&t1); -__Q:mp_clear (&q); +LBL_Y:mp_clear (&y); +LBL_X:mp_clear (&x); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); +LBL_Q:mp_clear (&q); return res; } @@ -2199,7 +2182,7 @@ * Based on algorithm from the paper * * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Loong Lee, + * Chae Hoon Lim, Pil Joong Lee, * POSTECH Information Research Laboratories * * The modulus must be of a special format [see manual] @@ -2457,25 +2440,33 @@ return err; #else /* no invmod */ - return MP_VAL -#endif - } + return MP_VAL; +#endif + } + +/* modified diminished radix reduction */ +#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) + if (mp_reduce_is_2k_l(P) == MP_YES) { + return s_mp_exptmod(G, X, P, Y, 1); + } +#endif #ifdef BN_MP_DR_IS_MODULUS_C /* is it a DR modulus? */ dr = mp_dr_is_modulus(P); #else + /* default to no */ dr = 0; #endif #ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a uDR modulus? */ + /* if not, is it a unrestricted DR modulus? */ if (dr == 0) { dr = mp_reduce_is_2k(P) << 1; } #endif - /* if the modulus is odd or dr != 0 use the fast method */ + /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C if (mp_isodd (P) == 1 || dr != 0) { return mp_exptmod_fast (G, X, P, Y, dr); @@ -2483,7 +2474,7 @@ #endif #ifdef BN_S_MP_EXPTMOD_C /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y); + return s_mp_exptmod (G, X, P, Y, 0); #else /* no exptmod for evens */ return MP_VAL; @@ -2529,8 +2520,7 @@ #define TAB_SIZE 256 #endif -int -mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) +int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) { mp_int M[TAB_SIZE], res; mp_digit buf, mp; @@ -2588,11 +2578,11 @@ #ifdef BN_MP_MONTGOMERY_SETUP_C /* now setup montgomery */ if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto __M; + goto LBL_M; } #else err = MP_VAL; - goto __M; + goto LBL_M; #endif /* automatically pick the comba one if available (saves quite a few calls/ifs) */ @@ -2608,7 +2598,7 @@ redux = mp_montgomery_reduce; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } } else if (redmode == 1) { @@ -2618,24 +2608,24 @@ redux = mp_dr_reduce; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } else { #if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) /* setup DR reduction for moduli of the form 2**k - b */ if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto __M; + goto LBL_M; } redux = mp_reduce_2k; #else err = MP_VAL; - goto __M; + goto LBL_M; #endif } /* setup result */ if ((err = mp_init (&res)) != MP_OKAY) { - goto __M; + goto LBL_M; } /* create M table @@ -2649,45 +2639,45 @@ #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* now we need R mod m */ if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } #else err = MP_VAL; - goto __RES; + goto LBL_RES; #endif /* now set M[1] to G * R mod m */ if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } else { mp_set(&res, 1); if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } for (x = 0; x < (winsize - 1); x++) { if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* create upper table */ for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } @@ -2727,10 +2717,10 @@ /* if the bit is zero and mode == 1 then we square */ if (mode == 1 && y == 0) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } continue; } @@ -2744,19 +2734,19 @@ /* square first */ for (x = 0; x < winsize; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* then multiply */ if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } /* empty window and reset */ @@ -2771,10 +2761,10 @@ /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } /* get next bit of the window */ @@ -2782,10 +2772,10 @@ if ((bitbuf & (1 << winsize)) != 0) { /* then multiply */ if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } } @@ -2799,15 +2789,15 @@ * of R. */ if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } } /* swap res with Y */ mp_exch (&res, Y); err = MP_OKAY; -__RES:mp_clear (&res); -__M: +LBL_RES:mp_clear (&res); +LBL_M: mp_clear(&M[1]); for (x = 1<<(winsize-1); x < (1 << winsize); x++) { mp_clear (&M[x]); @@ -2881,6 +2871,13 @@ if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } } + /* make sure U3 >= 0 */ + if (u3.sign == MP_NEG) { + mp_neg(&u1, &u1); + mp_neg(&u2, &u2); + mp_neg(&u3, &u3); + } + /* copy result out */ if (U1 != NULL) { mp_exch(U1, &u1); } if (U2 != NULL) { mp_exch(U2, &u2); } @@ -3059,7 +3056,7 @@ } if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto __U; + goto LBL_U; } /* must be positive for the remainder of the algorithm */ @@ -3073,24 +3070,24 @@ if (k > 0) { /* divide the power of two out */ if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } /* divide any remaining factors of two out */ if (u_lsb != k) { if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } if (v_lsb != k) { if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } @@ -3103,23 +3100,23 @@ /* subtract smallest from largest */ if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto __V; + goto LBL_V; } /* Divide out all factors of two */ if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto __V; + goto LBL_V; } } /* multiply by 2**k which we divided out at the beginning */ if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto __V; + goto LBL_V; } c->sign = MP_ZPOS; res = MP_OKAY; -__V:mp_clear (&u); -__U:mp_clear (&v); +LBL_V:mp_clear (&u); +LBL_U:mp_clear (&v); return res; } #endif @@ -3555,25 +3552,25 @@ } /* x = a, y = b */ - if ((res = mp_copy (a, &x)) != MP_OKAY) { - goto __ERR; + if ((res = mp_mod(a, b, &x)) != MP_OKAY) { + goto LBL_ERR; } if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 2. [modified] if x,y are both even then return an error! */ if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } mp_set (&A, 1); mp_set (&D, 1); @@ -3583,24 +3580,24 @@ while (mp_iseven (&u) == 1) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 4.2 if A or B is odd then */ if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* A = A/2, B = B/2 */ if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -3608,24 +3605,24 @@ while (mp_iseven (&v) == 1) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* 5.2 if C or D is odd then */ if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* C = C/2, D = D/2 */ if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -3633,28 +3630,28 @@ if (mp_cmp (&u, &v) != MP_LT) { /* u = u - v, A = A - C, B = B - D */ if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } else { /* v - v - u, C = C - A, D = D - B */ if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } @@ -3667,27 +3664,27 @@ /* if v != 1 then there is no inverse */ if (mp_cmp_d (&v, 1) != MP_EQ) { res = MP_VAL; - goto __ERR; + goto LBL_ERR; } /* if its too low */ while (mp_cmp_d(&C, 0) == MP_LT) { if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* too big */ while (mp_cmp_mag(&C, b) != MP_LT) { if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } } /* C is now the inverse */ mp_exch (&C, c); res = MP_OKAY; -__ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); +LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); return res; } #endif @@ -3856,13 +3853,13 @@ } if ((res = mp_init (&p1)) != MP_OKAY) { - goto __A1; + goto LBL_A1; } /* divide out larger power of two */ k = mp_cnt_lsb(&a1); if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } /* step 4. if e is even set s=1 */ @@ -3890,18 +3887,18 @@ } else { /* n1 = n mod a1 */ if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto __P1; + goto LBL_P1; } *c = s * r; } /* done */ res = MP_OKAY; -__P1:mp_clear (&p1); -__A1:mp_clear (&a1); +LBL_P1:mp_clear (&p1); +LBL_A1:mp_clear (&a1); return res; } #endif @@ -4227,20 +4224,20 @@ /* t1 = get the GCD of the two inputs */ if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto __T; + goto LBL_T; } /* divide the smallest by the GCD */ if (mp_cmp_mag(a, b) == MP_LT) { /* store quotient in t2 such that t2 * b is the LCM */ if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto __T; + goto LBL_T; } res = mp_mul(b, &t2, c); } else { /* store quotient in t2 such that t2 * a is the LCM */ if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto __T; + goto LBL_T; } res = mp_mul(a, &t2, c); } @@ -4248,7 +4245,7 @@ /* fix the sign to positive */ c->sign = MP_ZPOS; -__T: +LBL_T: mp_clear_multi (&t1, &t2, NULL); return res; } @@ -4402,7 +4399,7 @@ } /* if the modulus is larger than the value than return */ - if (b > (int) (a->used * DIGIT_BIT)) { + if (b >= (int) (a->used * DIGIT_BIT)) { res = mp_copy (a, c); return res; } @@ -4484,7 +4481,6 @@ /* how many bits of last digit does b use */ bits = mp_count_bits (b) % DIGIT_BIT; - if (b->used > 1) { if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { return res; @@ -4983,8 +4979,9 @@ u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } - /* store final carry [if any] */ + /* store final carry [if any] and increment ix offset */ *tmpc++ = u; + ++ix; /* now zero digits above the top */ while (ix++ < olduse) { @@ -5085,11 +5082,11 @@ } if ((res = mp_init (&t2)) != MP_OKAY) { - goto __T1; + goto LBL_T1; } if ((res = mp_init (&t3)) != MP_OKAY) { - goto __T2; + goto LBL_T2; } /* if a is negative fudge the sign but keep track */ @@ -5102,52 +5099,52 @@ do { /* t1 = t2 */ if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ /* t3 = t1**(b-1) */ if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* numerator */ /* t2 = t1**b */ if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t2 = t1**b - a */ if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* denominator */ /* t3 = t1**(b-1) * b */ if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } /* t3 = (t1**b - a)/(b * t1**(b-1)) */ if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } } while (mp_cmp (&t1, &t2) != MP_EQ); /* result can be off by a few so check */ for (;;) { if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } if (mp_cmp (&t2, a) == MP_GT) { if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto __T3; + goto LBL_T3; } } else { break; @@ -5165,9 +5162,9 @@ res = MP_OKAY; -__T3:mp_clear (&t3); -__T2:mp_clear (&t2); -__T1:mp_clear (&t1); +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); return res; } #endif @@ -5196,12 +5193,18 @@ int mp_neg (mp_int * a, mp_int * b) { int res; - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } + if (a != b) { + if ((res = mp_copy (a, b)) != MP_OKAY) { + return res; + } + } + if (mp_iszero(b) != MP_YES) { b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } + } else { + b->sign = MP_ZPOS; + } + return MP_OKAY; } #endif @@ -5304,7 +5307,7 @@ /* compute t = b**a mod a */ if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto __T; + goto LBL_T; } /* is it equal to b? */ @@ -5313,7 +5316,7 @@ } err = MP_OKAY; -__T:mp_clear (&t); +LBL_T:mp_clear (&t); return err; } #endif @@ -5352,8 +5355,8 @@ *result = MP_NO; for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod __prime_tab[ix] */ - if ((err = mp_mod_d (a, __prime_tab[ix], &res)) != MP_OKAY) { + /* what is a mod LBL_prime_tab[ix] */ + if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { return err; } @@ -5410,7 +5413,7 @@ /* is the input equal to one of the primes in the table? */ for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, __prime_tab[ix]) == MP_EQ) { + if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { *result = 1; return MP_OKAY; } @@ -5433,20 +5436,20 @@ for (ix = 0; ix < t; ix++) { /* set the prime */ - mp_set (&b, __prime_tab[ix]); + mp_set (&b, ltm_prime_tab[ix]); if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto __B; + goto LBL_B; } if (res == MP_NO) { - goto __B; + goto LBL_B; } } /* passed the test */ *result = MP_YES; -__B:mp_clear (&b); +LBL_B:mp_clear (&b); return err; } #endif @@ -5496,12 +5499,12 @@ return err; } if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto __N1; + goto LBL_N1; } /* set 2**s * r = n1 */ if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto __N1; + goto LBL_N1; } /* count the number of least significant bits @@ -5511,15 +5514,15 @@ /* now divide n - 1 by 2**s */ if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto __R; + goto LBL_R; } /* compute y = b**r mod a */ if ((err = mp_init (&y)) != MP_OKAY) { - goto __R; + goto LBL_R; } if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if y != 1 and y != n1 do */ @@ -5528,12 +5531,12 @@ /* while j <= s-1 and y != n1 */ while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto __Y; + goto LBL_Y; } /* if y == 1 then composite */ if (mp_cmp_d (&y, 1) == MP_EQ) { - goto __Y; + goto LBL_Y; } ++j; @@ -5541,15 +5544,15 @@ /* if y != n1 then composite */ if (mp_cmp (&y, &n1) != MP_EQ) { - goto __Y; + goto LBL_Y; } } /* probably prime now */ *result = MP_YES; -__Y:mp_clear (&y); -__R:mp_clear (&r); -__N1:mp_clear (&n1); +LBL_Y:mp_clear (&y); +LBL_R:mp_clear (&r); +LBL_N1:mp_clear (&n1); return err; } #endif @@ -5594,10 +5597,10 @@ a->sign = MP_ZPOS; /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, __prime_tab[PRIME_SIZE-1]) == MP_LT) { + if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { /* find which prime it is bigger than */ for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, __prime_tab[x]) != MP_LT) { + if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { if (bbs_style == 1) { /* ok we found a prime smaller or * equal [so the next is larger] @@ -5605,17 +5608,17 @@ * however, the prime must be * congruent to 3 mod 4 */ - if ((__prime_tab[x + 1] & 3) != 3) { + if ((ltm_prime_tab[x + 1] & 3) != 3) { /* scan upwards for a prime congruent to 3 mod 4 */ for (y = x + 1; y < PRIME_SIZE; y++) { - if ((__prime_tab[y] & 3) == 3) { - mp_set(a, __prime_tab[y]); + if ((ltm_prime_tab[y] & 3) == 3) { + mp_set(a, ltm_prime_tab[y]); return MP_OKAY; } } } } else { - mp_set(a, __prime_tab[x + 1]); + mp_set(a, ltm_prime_tab[x + 1]); return MP_OKAY; } } @@ -5653,7 +5656,7 @@ /* generate the restable */ for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, __prime_tab[x], res_tab + x)) != MP_OKAY) { + if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { return err; } } @@ -5679,8 +5682,8 @@ res_tab[x] += kstep; /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= __prime_tab[x]) { - res_tab[x] -= __prime_tab[x]; + if (res_tab[x] >= ltm_prime_tab[x]) { + res_tab[x] -= ltm_prime_tab[x]; } /* set flag if zero */ @@ -5692,7 +5695,7 @@ /* add the step */ if ((err = mp_add_d(a, step, a)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } /* if didn't pass sieve and step == MAX then skip test */ @@ -5702,9 +5705,9 @@ /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, __prime_tab[t]); + mp_set(&b, ltm_prime_tab[t]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { - goto __ERR; + goto LBL_ERR; } if (res == MP_NO) { break; @@ -5717,7 +5720,7 @@ } err = MP_OKAY; -__ERR: +LBL_ERR: mp_clear(&b); return err; } @@ -5828,7 +5831,7 @@ } /* calc the byte size */ - bsize = (size>>3)+(size&7?1:0); + bsize = (size>>3) + ((size&7)?1:0); /* we need a buffer of bsize bytes */ tmp = OPT_CAST(unsigned char) XMALLOC(bsize); @@ -5837,19 +5840,19 @@ } /* calc the maskAND value for the MSbyte*/ - maskAND = 0xFF >> (8 - (size & 7)); + maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); /* calc the maskOR_msb */ maskOR_msb = 0; - maskOR_msb_offset = (size - 2) >> 3; + maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; if (flags & LTM_PRIME_2MSB_ON) { maskOR_msb |= 1 << ((size - 2) & 7); } else if (flags & LTM_PRIME_2MSB_OFF) { maskAND &= ~(1 << ((size - 2) & 7)); - } + } /* get the maskOR_lsb */ - maskOR_lsb = 0; + maskOR_lsb = 1; if (flags & LTM_PRIME_BBS) { maskOR_lsb |= 3; } @@ -5943,22 +5946,29 @@ return MP_VAL; } - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; + if (mp_iszero(a) == MP_YES) { + *size = 2; + return MP_OKAY; } /* digs is the digit count */ digs = 0; /* if it's negative add one for the sign */ - if (t.sign == MP_NEG) { + if (a->sign == MP_NEG) { ++digs; - t.sign = MP_ZPOS; - } + } + + /* init a copy of the input */ + if ((res = mp_init_copy (&t, a)) != MP_OKAY) { + return res; + } + + /* force temp to positive */ + t.sign = MP_ZPOS; /* fetch out all of the digits */ - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res; @@ -6032,14 +6042,14 @@ /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())); + d = ((mp_digit) abs (rand ())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { return res; } - while (digits-- > 0) { + while (--digits > 0) { if ((res = mp_lshd (a, 1)) != MP_OKAY) { return res; } @@ -6074,7 +6084,7 @@ */ /* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, char *str, int radix) +int mp_read_radix (mp_int * a, const char *str, int radix) { int y, res, neg; char ch; @@ -6257,8 +6267,7 @@ * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ -int -mp_reduce (mp_int * x, mp_int * m, mp_int * mu) +int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) { mp_int q; int res, um = m->used; @@ -6278,11 +6287,11 @@ } } else { #ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) { + if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) { + if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } #else @@ -6355,8 +6364,7 @@ */ /* reduces a modulo n where n is of the form 2**p - d */ -int -mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) +int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; @@ -6398,6 +6406,68 @@ /* End: bn_mp_reduce_2k.c */ +/* Start: bn_mp_reduce_2k_l.c */ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* reduces a modulo n where n is of the form 2**p - d + This differs from reduce_2k since "d" can be larger + than a single digit. +*/ +int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) +{ + mp_int q; + int p, res; + + if ((res = mp_init(&q)) != MP_OKAY) { + return res; + } + + p = mp_count_bits(n); +top: + /* q = a/2**p, a = a mod 2**p */ + if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { + goto ERR; + } + + /* q = q * d */ + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + goto ERR; + } + + /* a = a + q */ + if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { + goto ERR; + } + + if (mp_cmp_mag(a, n) != MP_LT) { + s_mp_sub(a, n, a); + goto top; + } + +ERR: + mp_clear(&q); + return res; +} + +#endif + +/* End: bn_mp_reduce_2k_l.c */ + /* Start: bn_mp_reduce_2k_setup.c */ #include <tommath.h> #ifdef BN_MP_REDUCE_2K_SETUP_C @@ -6417,8 +6487,7 @@ */ /* determines the setup value */ -int -mp_reduce_2k_setup(mp_int *a, mp_digit *d) +int mp_reduce_2k_setup(mp_int *a, mp_digit *d) { int res, p; mp_int tmp; @@ -6446,6 +6515,50 @@ /* End: bn_mp_reduce_2k_setup.c */ +/* Start: bn_mp_reduce_2k_setup_l.c */ +#include <tommath.h> +#ifdef BN_MP_REDUCE_2K_SETUP_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* determines the setup value */ +int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) +{ + int res; + mp_int tmp; + + if ((res = mp_init(&tmp)) != MP_OKAY) { + return res; + } + + if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { + goto ERR; + } + + if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { + goto ERR; + } + +ERR: + mp_clear(&tmp); + return res; +} +#endif + +/* End: bn_mp_reduce_2k_setup_l.c */ + /* Start: bn_mp_reduce_is_2k.c */ #include <tommath.h> #ifdef BN_MP_REDUCE_IS_2K_C @@ -6471,9 +6584,9 @@ mp_digit iz; if (a->used == 0) { - return 0; + return MP_NO; } else if (a->used == 1) { - return 1; + return MP_YES; } else if (a->used > 1) { iy = mp_count_bits(a); iz = 1; @@ -6482,7 +6595,7 @@ /* Test every bit from the second digit up, must be 1 */ for (ix = DIGIT_BIT; ix < iy; ix++) { if ((a->dp[iw] & iz) == 0) { - return 0; + return MP_NO; } iz <<= 1; if (iz > (mp_digit)MP_MASK) { @@ -6491,13 +6604,57 @@ } } } - return 1; + return MP_YES; } #endif /* End: bn_mp_reduce_is_2k.c */ +/* Start: bn_mp_reduce_is_2k_l.c */ +#include <tommath.h> +#ifdef BN_MP_REDUCE_IS_2K_L_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* determines if reduce_2k_l can be used */ +int mp_reduce_is_2k_l(mp_int *a) +{ + int ix, iy; + + if (a->used == 0) { + return MP_NO; + } else if (a->used == 1) { + return MP_YES; + } else if (a->used > 1) { + /* if more than half of the digits are -1 we're sold */ + for (iy = ix = 0; ix < a->used; ix++) { + if (a->dp[ix] == MP_MASK) { + ++iy; + } + } + return (iy >= (a->used/2)) ? MP_YES : MP_NO; + + } + return MP_NO; +} + +#endif + +/* End: bn_mp_reduce_is_2k_l.c */ + /* Start: bn_mp_reduce_setup.c */ #include <tommath.h> #ifdef BN_MP_REDUCE_SETUP_C @@ -7132,8 +7289,7 @@ */ /* store in signed [big endian] format */ -int -mp_to_signed_bin (mp_int * a, unsigned char *b) +int mp_to_signed_bin (mp_int * a, unsigned char *b) { int res; @@ -7147,6 +7303,37 @@ /* End: bn_mp_to_signed_bin.c */ +/* Start: bn_mp_to_signed_bin_n.c */ +#include <tommath.h> +#ifdef BN_MP_TO_SIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* store in signed [big endian] format */ +int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_signed_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_signed_bin_size(a); + return mp_to_signed_bin(a, b); +} +#endif + +/* End: bn_mp_to_signed_bin_n.c */ + /* Start: bn_mp_to_unsigned_bin.c */ #include <tommath.h> #ifdef BN_MP_TO_UNSIGNED_BIN_C @@ -7166,8 +7353,7 @@ */ /* store in unsigned [big endian] format */ -int -mp_to_unsigned_bin (mp_int * a, unsigned char *b) +int mp_to_unsigned_bin (mp_int * a, unsigned char *b) { int x, res; mp_int t; @@ -7196,6 +7382,37 @@ /* End: bn_mp_to_unsigned_bin.c */ +/* Start: bn_mp_to_unsigned_bin_n.c */ +#include <tommath.h> +#ifdef BN_MP_TO_UNSIGNED_BIN_N_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * 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, [email protected], http://math.libtomcrypt.org + */ + +/* store in unsigned [big endian] format */ +int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) +{ + if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { + return MP_VAL; + } + *outlen = mp_unsigned_bin_size(a); + return mp_to_unsigned_bin(a, b); +} +#endif + +/* End: bn_mp_to_unsigned_bin_n.c */ + /* Start: bn_mp_toom_mul.c */ #include <tommath.h> #ifdef BN_MP_TOOM_MUL_C @@ -7216,9 +7433,10 @@ /* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower asymptotic running time of - * O(N**1.464). This algorithm is only particularly useful on VERY large - * inputs (we're talking 1000s of digits here...). + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs + * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { @@ -7888,8 +8106,7 @@ */ /* get the size for an unsigned equivalent */ -int -mp_unsigned_bin_size (mp_int * a) +int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); return (size / 8 + ((size & 7) != 0 ? 1 : 0)); @@ -7938,7 +8155,7 @@ } for (ix = 0; ix < px; ix++) { - + t.dp[ix] ^= x->dp[ix]; } mp_clamp (&t); mp_exch (c, &t); @@ -7968,12 +8185,18 @@ */ /* set to zero */ -void -mp_zero (mp_int * a) -{ +void mp_zero (mp_int * a) +{ + int n; + mp_digit *tmp; + a->sign = MP_ZPOS; a->used = 0; - memset (a->dp, 0, sizeof (mp_digit) * a->alloc); + + tmp = a->dp; + for (n = 0; n < a->alloc; n++) { + *tmp++ = 0; + } } #endif @@ -7996,7 +8219,7 @@ * * Tom St Denis, [email protected], http://math.libtomcrypt.org */ -const mp_digit __prime_tab[] = { +const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, @@ -8212,11 +8435,12 @@ #define TAB_SIZE 256 #endif -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) { mp_int M[TAB_SIZE], res, mu; mp_digit buf; int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; + int (*redux)(mp_int*,mp_int*,mp_int*); /* find window size */ x = mp_count_bits (X); @@ -8261,11 +8485,20 @@ /* create mu, used for Barrett reduction */ if ((err = mp_init (&mu)) != MP_OKAY) { - goto __M; - } - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto __MU; - } + goto LBL_M; + } + + if (redmode == 0) { + if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce; + } else { + if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { + goto LBL_MU; + } + redux = mp_reduce_2k_l; + } /* create M table * @@ -8276,23 +8509,26 @@ * computed though accept for M[0] and M[1] */ if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } /* compute the value at M[1<<(winsize-1)] by squaring * M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __MU; + goto LBL_MU; } for (x = 0; x < (winsize - 1); x++) { + /* square it */ if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto __MU; - } - if ((err = mp_reduce (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto __MU; + goto LBL_MU; + } + + /* reduce modulo P */ + if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { + goto LBL_MU; } } @@ -8301,16 +8537,16 @@ */ for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto __MU; - } - if ((err = mp_reduce (&M[x], P, &mu)) != MP_OKAY) { - goto __MU; + goto LBL_MU; + } + if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { + goto LBL_MU; } } /* setup result */ if ((err = mp_init (&res)) != MP_OKAY) { - goto __MU; + goto LBL_MU; } mp_set (&res, 1); @@ -8350,10 +8586,10 @@ /* if the bit is zero and mode == 1 then we square */ if (mode == 1 && y == 0) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } continue; } @@ -8367,19 +8603,19 @@ /* square first */ for (x = 0; x < winsize; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } } /* then multiply */ if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } /* empty window and reset */ @@ -8394,20 +8630,20 @@ /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } bitbuf <<= 1; if ((bitbuf & (1 << winsize)) != 0) { /* then multiply */ if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto __RES; + goto LBL_RES; } - if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) { - goto __RES; + if ((err = redux (&res, P, &mu)) != MP_OKAY) { + goto LBL_RES; } } } @@ -8415,9 +8651,9 @@ mp_exch (&res, Y); err = MP_OKAY; -__RES:mp_clear (&res); -__MU:mp_clear (&mu); -__M: +LBL_RES:mp_clear (&res); +LBL_MU:mp_clear (&mu); +LBL_M: mp_clear(&M[1]); for (x = 1<<(winsize-1); x < (1 << winsize); x++) { mp_clear (&M[x]); @@ -8450,8 +8686,7 @@ * HAC pp. 595, Algorithm 14.12 Modified so you can control how * many digits of output are created. */ -int -s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { mp_int t; int res, pa, pb, ix, iy; @@ -8619,8 +8854,7 @@ */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int -s_mp_sqr (mp_int * a, mp_int * b) +int s_mp_sqr (mp_int * a, mp_int * b) { mp_int t; int res, ix, iy, pa; @@ -8797,11 +9031,12 @@ CPU /Compiler /MUL CUTOFF/SQR CUTOFF ------------------------------------------------------------- Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) + AMD Athlon64 /GCC v3.4.4 / 74/ 124/LTM 0.34 */ -int KARATSUBA_MUL_CUTOFF = 88, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 128, /* Min. number of digits before Karatsuba squaring is used. */ +int KARATSUBA_MUL_CUTOFF = 74, /* Min. number of digits before Karatsuba multiplication is used. */ + KARATSUBA_SQR_CUTOFF = 124, /* Min. number of digits before Karatsuba squaring is used. */ TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ TOOM_SQR_CUTOFF = 400;
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tombc/grammar.txt Wed May 11 16:15:27 2005 +0000 @@ -0,0 +1,35 @@ +program := program statement | statement | empty +statement := { statement } | + identifier = numexpression; | + identifier[numexpression] = numexpression; | + function(expressionlist); | + for (identifer = numexpression; numexpression; identifier = numexpression) { statement } | + while (numexpression) { statement } | + if (numexpresion) { statement } elif | + break; | + continue; + +elif := else statement | empty +function := abs | countbits | exptmod | jacobi | print | isprime | nextprime | issquare | readinteger | exit +expressionlist := expressionlist, expression | expression + +// LR(1) !!!? +expression := string | numexpression +numexpression := cmpexpr && cmpexpr | cmpexpr \|\| cmpexpr | cmpexpr +cmpexpr := boolexpr < boolexpr | boolexpr > boolexpr | boolexpr == boolexpr | + boolexpr <= boolexpr | boolexpr >= boolexpr | boolexpr +boolexpr := shiftexpr & shiftexpr | shiftexpr ^ shiftexpr | shiftexpr \| shiftexpr | shiftexpr +shiftexpr := addsubexpr << addsubexpr | addsubexpr >> addsubexpr | addsubexpr +addsubexpr := mulexpr + mulexpr | mulexpr - mulexpr | mulexpr +mulexpr := expr * expr | expr / expr | expr % expr | expr +expr := -nexpr | nexpr +nexpr := integer | identifier | ( numexpression ) | identifier[numexpression] + +identifier := identifer digits | identifier alpha | alpha +alpha := a ... z | A ... Z +integer := hexnumber | digits +hexnumber := 0xhexdigits +hexdigits := hexdigits hexdigit | hexdigit +hexdigit := 0 ... 9 | a ... f | A ... F +digits := digits digit | digit +digit := 0 ... 9
--- a/tommath.h Sun Jan 02 17:09:26 2005 +0000 +++ b/tommath.h Wed May 11 16:15:27 2005 +0000 @@ -429,6 +429,15 @@ /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); +/* returns true if a can be reduced with mp_reduce_2k_l */ +int mp_reduce_is_2k_l(mp_int *a); + +/* determines k value for 2k reduction */ +int mp_reduce_2k_setup_l(mp_int *a, mp_int *d); + +/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ +int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d); + /* d = a**b (mod c) */ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); @@ -442,7 +451,7 @@ #endif /* table of first PRIME_SIZE primes */ -extern const mp_digit __prime_tab[]; +extern const mp_digit ltm_prime_tab[]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ int mp_prime_is_divisible(mp_int *a, int *result); @@ -511,12 +520,14 @@ int mp_unsigned_bin_size(mp_int *a); int mp_read_unsigned_bin(mp_int *a, unsigned char *b, int c); int mp_to_unsigned_bin(mp_int *a, unsigned char *b); +int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); int mp_signed_bin_size(mp_int *a); int mp_read_signed_bin(mp_int *a, unsigned char *b, int c); int mp_to_signed_bin(mp_int *a, unsigned char *b); +int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen); -int mp_read_radix(mp_int *a, char *str, int radix); +int mp_read_radix(mp_int *a, const char *str, int radix); int mp_toradix(mp_int *a, char *str, int radix); int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); @@ -554,7 +565,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); void bn_reverse(unsigned char *s, int len); extern const char *mp_s_rmap;
--- a/tommath.src Sun Jan 02 17:09:26 2005 +0000 +++ b/tommath.src Wed May 11 16:15:27 2005 +0000 @@ -49,7 +49,7 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{Implementing Multiple Precision Arithmetic \\ ~ \\ Draft Edition } +\title{Multi--Precision Math} \author{\mbox{ %\begin{small} \begin{tabular}{c} @@ -66,7 +66,7 @@ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.30 release of the +This text has been placed in the public domain. This text corresponds to the v0.35 release of the LibTomMath project. \begin{alltt} @@ -85,66 +85,32 @@ \tableofcontents \listoffigures -\chapter*{Prefaces to the Draft Edition} -I started this text in April 2003 to complement my LibTomMath library. That is, explain how to implement the functions -contained in LibTomMath. The goal is to have a textbook that any Computer Science student can use when implementing their -own multiple precision arithmetic. The plan I wanted to follow was flesh out all the -ideas and concepts I had floating around in my head and then work on it afterwards refining a little bit at a time. Chance -would have it that I ended up with my summer off from Algonquin College and I was given four months solid to work on the -text. - -Choosing to not waste any time I dove right into the project even before my spring semester was finished. I wrote a bit -off and on at first. The moment my exams were finished I jumped into long 12 to 16 hour days. The result after only -a couple of months was a ten chapter, three hundred page draft that I quickly had distributed to anyone who wanted -to read it. I had Jean-Luc Cooke print copies for me and I brought them to Crypto'03 in Santa Barbara. So far I have -managed to grab a certain level of attention having people from around the world ask me for copies of the text was certain -rewarding. - -Now we are past December 2003. By this time I had pictured that I would have at least finished my second draft of the text. -Currently I am far off from this goal. I've done partial re-writes of chapters one, two and three but they are not even -finished yet. I haven't given up on the project, only had some setbacks. First O'Reilly declined to publish the text then -Addison-Wesley and Greg is tried another which I don't know the name of. However, at this point I want to focus my energy -onto finishing the book not securing a contract. - -So why am I writing this text? It seems like a lot of work right? Most certainly it is a lot of work writing a textbook. -Even the simplest introductory material has to be lined with references and figures. A lot of the text has to be re-written -from point form to prose form to ensure an easier read. Why am I doing all this work for free then? Simple. My philosophy -is quite simply ``Open Source. Open Academia. Open Minds'' which means that to achieve a goal of open minds, that is, -people willing to accept new ideas and explore the unknown you have to make available material they can access freely -without hinderance. - -I've been writing free software since I was about sixteen but only recently have I hit upon software that people have come -to depend upon. I started LibTomCrypt in December 2001 and now several major companies use it as integral portions of their -software. Several educational institutions use it as a matter of course and many freelance developers use it as -part of their projects. To further my contributions I started the LibTomMath project in December 2002 aimed at providing -multiple precision arithmetic routines that students could learn from. That is write routines that are not only easy -to understand and follow but provide quite impressive performance considering they are all in standard portable ISO C. - -The second leg of my philosophy is ``Open Academia'' which is where this textbook comes in. In the end, when all is -said and done the text will be useable by educational institutions as a reference on multiple precision arithmetic. - -At this time I feel I should share a little information about myself. The most common question I was asked at -Crypto'03, perhaps just out of professional courtesy, was which school I either taught at or attended. The unfortunate -truth is that I neither teach at or attend a school of academic reputation. I'm currently at Algonquin College which -is what I'd like to call ``somewhat academic but mostly vocational'' college. In otherwords, job training. - -I'm a 21 year old computer science student mostly self-taught in the areas I am aware of (which includes a half-dozen -computer science fields, a few fields of mathematics and some English). I look forward to teaching someday but I am -still far off from that goal. - -Now it would be improper for me to not introduce the rest of the texts co-authors. While they are only contributing -corrections and editorial feedback their support has been tremendously helpful in presenting the concepts laid out -in the text so far. Greg has always been there for me. He has tracked my LibTom projects since their inception and even -sent cheques to help pay tuition from time to time. His background has provided a wonderful source to bounce ideas off -of and improve the quality of my writing. Mads is another fellow who has just ``been there''. I don't even recall what -his interest in the LibTom projects is but I'm definitely glad he has been around. His ability to catch logical errors -in my written English have saved me on several occasions to say the least. - -What to expect next? Well this is still a rough draft. I've only had the chance to update a few chapters. However, I've -been getting the feeling that people are starting to use my text and I owe them some updated material. My current tenative -plan is to edit one chapter every two weeks starting January 4th. It seems insane but my lower course load at college -should provide ample time. By Crypto'04 I plan to have a 2nd draft of the text polished and ready to hand out to as many -people who will take it. +\chapter*{Prefaces} +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +back to society in the form of tools and knowledge that can help others in their endeavours. + +I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source +code itself was written to be easy to follow and learn from. There are times, however, where pure C source code does not +explain the algorithms properly. Hence this book. The book literally starts with the foundation of the library and works +itself outwards to the more complicated algorithms. The use of both pseudo--code and verbatim source code provides a duality +of ``theory'' and ``practice'' that the computer science students of the world shall appreciate. I never deviate too far +from relatively straightforward algebra and I hope that this book can be a valuable learning asset. + +This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora +of kind people donating their time, resources and kind words to help support my work. Writing a text of significant +length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. + +To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I +honour your kind gestures with this project. + +Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} @@ -937,7 +903,7 @@ EXAM,bn_mp_grow.c -A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line @23,if@) checks +A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line @24,alloc@) checks if the \textbf{alloc} member of the mp\_int is smaller than the requested digit count. If the count is not larger than \textbf{alloc} the function skips the re-allocation part thus saving time. @@ -1310,7 +1276,7 @@ With the mp\_int representation of an integer, calculating the absolute value is trivial. The mp\_abs algorithm will compute the absolute value of an mp\_int. -\newpage\begin{figure}[here] +\begin{figure}[here] \begin{center} \begin{tabular}{l} \hline Algorithm \textbf{mp\_abs}. \\ @@ -1335,6 +1301,9 @@ EXAM,bn_mp_abs.c +This fairly trivial algorithm first eliminates non--required duplications (line @27,a != b@) and then sets the +\textbf{sign} flag to \textbf{MP\_ZPOS}. + \subsection{Integer Negation} With the mp\_int representation of an integer, calculating the negation is also trivial. The mp\_neg algorithm will compute the negative of an mp\_int input. @@ -1368,11 +1337,15 @@ EXAM,bn_mp_neg.c +Like mp\_abs() this function avoids non--required duplications (line @21,a != b@) and then sets the sign. We +have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero +than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. + \section{Small Constants} \subsection{Setting Small Constants} Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For these cases the mp\_set algorithm is useful. -\begin{figure}[here] +\newpage\begin{figure}[here] \begin{center} \begin{tabular}{l} \hline Algorithm \textbf{mp\_set}. \\ @@ -1397,11 +1370,14 @@ EXAM,bn_mp_set.c -Line @21,mp_zero@ calls mp\_zero() to clear the mp\_int and reset the sign. Line @22,MP_MASK@ copies the digit -into the least significant location. Note the usage of a new constant \textbf{MP\_MASK}. This constant is used to quickly -reduce an integer modulo $\beta$. Since $\beta$ is of the form $2^k$ for any suitable $k$ it suffices to perform a binary AND with -$MP\_MASK = 2^k - 1$ to perform the reduction. Finally line @23,a->used@ will set the \textbf{used} member with respect to the -digit actually set. This function will always make the integer positive. +First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a +small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count +is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to +check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise +to zero. + +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +$2^k - 1$ will perform the same operation. One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. @@ -1503,10 +1479,12 @@ EXAM,bn_mp_cmp_mag.c -The two if statements on lines @24,if@ and @28,if@ compare the number of digits in the two inputs. These two are performed before all of the digits -are compared since it is a very cheap test to perform and can potentially save considerable time. The implementation given is also not valid -without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the -array of digits. +The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. + + \subsection{Signed Comparisons} Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude @@ -1539,9 +1517,9 @@ EXAM,bn_mp_cmp.c -The two if statements on lines @22,if@ and @26,if@ perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. At line @30,if@, the inputs are compared based on magnitudes. If the signs were both negative then -the unsigned comparison is performed in the opposite direction (\textit{line @31,mp_cmp_mag@}). Otherwise, the signs are assumed to +The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever +has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1664,19 +1642,21 @@ EXAM,bn_s_mp_add.c -Lines @27,if@ to @35,}@ perform the initial sorting of the inputs and determine the $min$ and $max$ variables. Note that $x$ is a pointer to a -mp\_int assigned to the largest input, in effect it is a local alias. Lines @37,init@ to @42,}@ ensure that the destination is grown to -accomodate the result of the addition. +We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. +Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we +grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ is cleared on line @65,u = 0@, note that $u$ is of type mp\_digit which ensures type compatibility within the -implementation. The initial addition loop begins on line @66,for@ and ends on line @75,}@. Similarly the conditional addition loop -begins on line @81,for@ and ends on line @90,}@. The addition is finished with the final carry being stored in $tmpc$ on line @94,tmpc++@. -Note the ``++'' operator on the same line. After line @94,tmpc++@ $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop on lines @97,for@ to @99,}@ which set any old upper digits to zero. +The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type +compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from +both inputs until the smallest input runs out of digits. Similarly the conditional addition loop +(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished +with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. +After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful +for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the @@ -1692,7 +1672,7 @@ mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' -data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma = 32$. +data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. \newpage\begin{figure}[!here] \begin{center} @@ -1759,20 +1739,23 @@ EXAM,bn_s_mp_sub.c -Line @24,min@ and @25,max@ perform the initial hardcoded sorting of the inputs. In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. Lines @42,tmpa@, @43,tmpb@ and @44,tmpc@ initialize the aliases for -$a$, $b$ and $c$ respectively. - -The first subtraction loop occurs on lines @47,u = 0@ through @61,}@. The theory behind the subtraction loop is exactly the same as that for -the addition loop. As remarked earlier there is an implementation reason for using the ``awkward'' method of extracting the carry -(\textit{see line @57, >>@}). The traditional method for extracting the carry would be to shift by $lg(\beta)$ positions and logically AND -the least significant bit. The AND operation is required because all of the bits above the $\lg(\beta)$'th bit will be set to one after a carry -occurs from subtraction. This carry extraction requires two relatively cheap operations to extract the carry. The other method is to simply -shift the most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on -twos compliment machines which is a safe assumption to make. - -If $a$ has a larger magnitude than $b$ an additional loop (\textit{see lines @64,for@ through @73,}@}) is required to propagate the carry through -$a$ and copy the result to $c$. +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used +within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized +(lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. + +The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +optimization only works on twos compliment machines which is a safe assumption to make. + +If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be @@ -2098,10 +2081,11 @@ EXAM,bn_mp_lshd.c -The if statement on line @24,if@ ensures that the $b$ variable is greater than zero. The \textbf{used} count is incremented by $b$ before -the copy loop begins. This elminates the need for an additional variable in the for loop. The variable $top$ on line @42,top@ is an alias -for the leading digit while $bottom$ on line @45,bottom@ is an alias for the trailing edge. The aliases form a window of exactly $b$ digits -over the input. +The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias +for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} @@ -2151,9 +2135,9 @@ EXAM,bn_mp_rshd.c -The only noteworthy element of this routine is the lack of a return type. - --- Will update later to give it a return type...Tom +The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we +form a sliding window except we copy in the other direction. After the window (line @59,for (;@) we then zero +the upper digits of the input to make sure the result is correct. \section{Powers of Two} @@ -2214,7 +2198,15 @@ EXAM,bn_mp_mul_2d.c -Notes to be revised when code is updated. -- Tom +The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the +destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then +has to be grown (line @31,grow@) to accomodate the result. + +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2263,7 +2255,8 @@ result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. -The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. (-- Fix this paragraph up later, Tom). +The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. The only significant difference is +the direction of the shifts. \subsection{Remainder of Division by Power of Two} @@ -2306,7 +2299,13 @@ EXAM,bn_mp_mod_2d.c --- Add comments later, Tom. +We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in such cases. Next if $2^b$ is larger +than the input we just mp\_copy() the input and return right away. After this point we know we must actually +perform some work to produce the remainder. + +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the +leading digit of both (line @45,&=@) and then mp\_clamp(). \section*{Exercises} \begin{tabular}{cl} @@ -2464,33 +2463,46 @@ EXAM,bn_s_mp_mul_digs.c -Lines @31,if@ to @35,}@ determine if the Comba method can be used first. The conditions for using the Comba routine are that min$(a.used, b.used) < \delta$ and -the number of digits of output is less than \textbf{MP\_WARRAY}. This new constant is used to control -the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. - -Of particular importance is the calculation of the $ix+iy$'th column on lines @64,mp_word@, @65,mp_word@ and @66,mp_word@. Note how all of the -variables are cast to the type \textbf{mp\_word}, which is also the type of variable $\hat r$. That is to ensure that double precision operations -are used instead of single precision. The multiplication on line @65,) * (@ makes use of a specific GCC optimizer behaviour. On the outset it looks like -the compiler will have to use a double precision multiplication to produce the result required. Such an operation would be horribly slow on most -processors and drag this to a crawl. However, GCC is smart enough to realize that double wide output single precision multipliers can be used. For -example, the instruction ``MUL'' on the x86 processor can multiply two 32-bit values and produce a 64-bit result. +First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +set to $\delta$ but can be reduced when memory is at a premium. + +If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int +$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now +begin the $O(n^2)$ loop. + +This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of +digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum +number of inner loop iterations. + +Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +is required for the product. In x86 terms for example, this means using the MUL instruction. + +Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the +next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} MARK,COMBA -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be computed and propagated upwards. This -makes the nested loop very sequential and hard to unroll and implement in parallel. The ``Comba'' \cite{COMBA} method is named after little known -(\textit{in cryptographic venues}) Paul G. Comba who described a method of implementing fast multipliers that do not require nested -carry fixup operations. As an interesting aside it seems that Paul Barrett describes a similar technique in -his 1986 paper \cite{BARRETT} written five years before. - -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight twist is placed on how -the columns of the result are produced. In the standard long-hand algorithm rows of products are produced then added together to form the -final result. In the baseline algorithm the columns are added together after each iteration to get the result instantaneously. - -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at the $O(n^2)$ level a -simple multiplication and addition step is performed. The carries of the columns are propagated after the nested loop to reduce the amount -of work requiored. Succintly the first step of the algorithm is to compute the product vector $\vec x$ as follows. +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +five years before. + +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. + +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace @@ -2584,38 +2596,32 @@ \textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ \textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ \hline \\ -Place an array of \textbf{MP\_WARRAY} double precision digits named $\hat W$ on the stack. \\ +Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the stack. \\ 1. If $c.alloc < digs$ then grow $c$ to $digs$ digits. (\textit{mp\_grow}) \\ 2. If step 1 failed return(\textit{MP\_MEM}).\\ \\ -Zero the temporary array $\hat W$. \\ -3. for $n$ from $0$ to $digs - 1$ do \\ -\hspace{3mm}3.1 $\hat W_n \leftarrow 0$ \\ -\\ -Compute the columns. \\ -4. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}4.1 $pb \leftarrow \mbox{min}(b.used, digs - ix)$ \\ -\hspace{3mm}4.2 If $pb < 1$ then goto step 5. \\ -\hspace{3mm}4.3 for $iy$ from $0$ to $pb - 1$ do \\ -\hspace{6mm}4.3.1 $\hat W_{ix+iy} \leftarrow \hat W_{ix+iy} + a_{ix}b_{iy}$ \\ +3. $pa \leftarrow \mbox{MIN}(digs, a.used + b.used)$ \\ \\ -Propagate the carries upwards. \\ -5. $oldused \leftarrow c.used$ \\ -6. $c.used \leftarrow digs$ \\ -7. If $digs > 1$ then do \\ -\hspace{3mm}7.1. for $ix$ from $1$ to $digs - 1$ do \\ -\hspace{6mm}7.1.1 $\hat W_{ix} \leftarrow \hat W_{ix} + \lfloor \hat W_{ix-1} / \beta \rfloor$ \\ -\hspace{6mm}7.1.2 $c_{ix - 1} \leftarrow \hat W_{ix - 1} \mbox{ (mod }\beta\mbox{)}$ \\ -8. else do \\ -\hspace{3mm}8.1 $ix \leftarrow 0$ \\ -9. $c_{ix} \leftarrow \hat W_{ix} \mbox{ (mod }\beta\mbox{)}$ \\ +4. $\_ \hat W \leftarrow 0$ \\ +5. for $ix$ from 0 to $pa - 1$ do \\ +\hspace{3mm}5.1 $ty \leftarrow \mbox{MIN}(b.used - 1, ix)$ \\ +\hspace{3mm}5.2 $tx \leftarrow ix - ty$ \\ +\hspace{3mm}5.3 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ +\hspace{3mm}5.4 for $iz$ from 0 to $iy - 1$ do \\ +\hspace{6mm}5.4.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx+iy}b_{ty-iy}$ \\ +\hspace{3mm}5.5 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$\\ +\hspace{3mm}5.6 $\_ \hat W \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ +6. $W_{pa} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ \\ -Zero excess digits. \\ -10. If $digs < oldused$ then do \\ -\hspace{3mm}10.1 for $n$ from $digs$ to $oldused - 1$ do \\ -\hspace{6mm}10.1.1 $c_n \leftarrow 0$ \\ -11. Clamp excessive digits of $c$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}). \\ +7. $oldused \leftarrow c.used$ \\ +8. $c.used \leftarrow digs$ \\ +9. for $ix$ from $0$ to $pa$ do \\ +\hspace{3mm}9.1 $c_{ix} \leftarrow W_{ix}$ \\ +10. for $ix$ from $pa + 1$ to $oldused - 1$ do \\ +\hspace{3mm}10.1 $c_{ix} \leftarrow 0$ \\ +\\ +11. Clamp $c$. \\ +12. Return MP\_OKAY. \\ \hline \end{tabular} \end{center} @@ -2625,15 +2631,24 @@ \end{figure} \textbf{Algorithm fast\_s\_mp\_mul\_digs.} -This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. The algorithm -essentially peforms the same calculation as algorithm s\_mp\_mul\_digs, just much faster. - -The array $\hat W$ is meant to be on the stack when the algorithm is used. The size of the array does not change which is ideal. Note also that -unlike algorithm s\_mp\_mul\_digs no temporary mp\_int is required since the result is calculated directly in $\hat W$. - -The $O(n^2)$ loop on step four is where the Comba method's advantages begin to show through in comparison to the baseline algorithm. The lack of -a carry variable or propagation in this loop allows the loop to be performed with only single precision multiplication and additions. Now that each -iteration of the inner loop can be performed independent of the others the inner loop can be performed with a high level of parallelism. +This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. + +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and +reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. + +The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than +$b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. + +The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time +means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +$tx \ge a.used$ or $ty < 0$ occurs. + +After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator +into the next round by dividing $\_ \hat W$ by $\beta$. To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require @@ -2643,20 +2658,20 @@ EXAM,bn_fast_s_mp_mul_digs.c -The memset on line @47,memset@ clears the initial $\hat W$ array to zero in a single step. Like the slower baseline multiplication -implementation a series of aliases (\textit{lines @67, tmpx@, @70, tmpy@ and @75,_W@}) are used to simplify the inner $O(n^2)$ loop. -In this case a new alias $\_\hat W$ has been added which refers to the double precision columns offset by $ix$ in each pass. - -The inner loop on lines @83,for@, @84,mp_word@ and @85,}@ is where the algorithm will spend the majority of the time, which is why it has been -stripped to the bones of any extra baggage\footnote{Hence the pointer aliases.}. On x86 processors the multiplication and additions amount to at the -very least five instructions (\textit{two loads, two additions, one multiply}) while on the ARMv4 processors they amount to only three -(\textit{one load, one store, one multiply-add}). For both of the x86 and ARMv4 processors the GCC compiler performs a good job at unrolling the loop -and scheduling the instructions so there are very few dependency stalls. - -In theory the difference between the baseline and comba algorithms is a mere $O(qn)$ time difference. However, in the $O(n^2)$ nested loop of the -baseline method there are dependency stalls as the algorithm must wait for the multiplier to finish before propagating the carry to the next -digit. As a result fewer of the often multiple execution units\footnote{The AMD Athlon has three execution units and the Intel P4 has four.} can -be simultaneously used. +As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop +to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point +inside the two multiplicands quickly. + +The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +compiler has aliased $\_ \hat W$ to a CPU register. + +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms @@ -2976,13 +2991,26 @@ EXAM,bn_mp_toom_mul.c --- Comments to be added during editing phase. +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with +Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this +algorithm is not practical as Karatsuba has a much lower cutoff point. + +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with +combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly +for $b$. + +Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so +we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. + +After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. -\newpage\begin{figure}[!here] +\begin{figure}[!here] \begin{small} \begin{center} \begin{tabular}{l} @@ -3065,7 +3093,7 @@ The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines will not handle. -\newpage\begin{figure}[!here] +\begin{figure}[!here] \begin{small} \begin{center} \begin{tabular}{l} @@ -3121,9 +3149,14 @@ EXAM,bn_s_mp_sqr.c -Inside the outer loop (\textit{see line @32,for@}) the square term is calculated on line @35,r =@. Line @42,>>@ extracts the carry from the square -term. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized on lines @45,tmpx@ and @48,tmpt@ respectively. The doubling is performed using two -additions (\textit{see line @57,r + r@}) since it is usually faster than shifting,if not at least as fast. +Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +(lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two +additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. + +The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops +get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3135,9 +3168,9 @@ that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, $ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two mp\_word -arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be -moved to a $O(n)$ work level outside the $O(n^2)$ level. +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] \begin{small} @@ -3147,34 +3180,34 @@ \textbf{Input}. mp\_int $a$ \\ \textbf{Output}. $b \leftarrow a^2$ \\ \hline \\ -Place two arrays of \textbf{MP\_WARRAY} mp\_words named $\hat W$ and $\hat {X}$ on the stack. \\ +Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 1. If $b.alloc < 2a.used + 1$ then grow $b$ to $2a.used + 1$ digits. (\textit{mp\_grow}). \\ 2. If step 1 failed return(\textit{MP\_MEM}). \\ -3. for $ix$ from $0$ to $2a.used + 1$ do \\ -\hspace{3mm}3.1 $\hat W_{ix} \leftarrow 0$ \\ -\hspace{3mm}3.2 $\hat {X}_{ix} \leftarrow 0$ \\ -4. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}Compute the square.\\ -\hspace{3mm}4.1 $\hat {X}_{ix+ix} \leftarrow \left ( a_{ix} \right )^2$ \\ -\\ -\hspace{3mm}Compute the double products.\\ -\hspace{3mm}4.2 for $iy$ from $ix + 1$ to $a.used - 1$ do \\ -\hspace{6mm}4.2.1 $\hat W_{ix+iy} \leftarrow \hat W_{ix+iy} + a_{ix}a_{iy}$ \\ -5. $oldused \leftarrow b.used$ \\ -6. $b.used \leftarrow 2a.used + 1$ \\ \\ -Double the products and propagate the carries simultaneously. \\ -7. $\hat W_0 \leftarrow 2 \hat W_0 + \hat {X}_0$ \\ -8. for $ix$ from $1$ to $2a.used$ do \\ -\hspace{3mm}8.1 $\hat W_{ix} \leftarrow 2 \hat W_{ix} + \hat {X}_{ix}$ \\ -\hspace{3mm}8.2 $\hat W_{ix} \leftarrow \hat W_{ix} + \lfloor \hat W_{ix - 1} / \beta \rfloor$ \\ -\hspace{3mm}8.3 $b_{ix-1} \leftarrow W_{ix-1} \mbox{ (mod }\beta\mbox{)}$ \\ -9. $b_{2a.used} \leftarrow \hat W_{2a.used} \mbox{ (mod }\beta\mbox{)}$ \\ -10. if $2a.used + 1 < oldused$ then do \\ -\hspace{3mm}10.1 for $ix$ from $2a.used + 1$ to $oldused$ do \\ -\hspace{6mm}10.1.1 $b_{ix} \leftarrow 0$ \\ -11. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}). \\ +3. $pa \leftarrow 2 \cdot a.used$ \\ +4. $\hat W1 \leftarrow 0$ \\ +5. for $ix$ from $0$ to $pa - 1$ do \\ +\hspace{3mm}5.1 $\_ \hat W \leftarrow 0$ \\ +\hspace{3mm}5.2 $ty \leftarrow \mbox{MIN}(a.used - 1, ix)$ \\ +\hspace{3mm}5.3 $tx \leftarrow ix - ty$ \\ +\hspace{3mm}5.4 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ +\hspace{3mm}5.5 $iy \leftarrow \mbox{MIN}(iy, \lfloor \left (ty - tx + 1 \right )/2 \rfloor)$ \\ +\hspace{3mm}5.6 for $iz$ from $0$ to $iz - 1$ do \\ +\hspace{6mm}5.6.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx + iz}a_{ty - iz}$ \\ +\hspace{3mm}5.7 $\_ \hat W \leftarrow 2 \cdot \_ \hat W + \hat W1$ \\ +\hspace{3mm}5.8 if $ix$ is even then \\ +\hspace{6mm}5.8.1 $\_ \hat W \leftarrow \_ \hat W + \left ( a_{\lfloor ix/2 \rfloor}\right )^2$ \\ +\hspace{3mm}5.9 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ +\hspace{3mm}5.10 $\hat W1 \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ +\\ +6. $oldused \leftarrow b.used$ \\ +7. $b.used \leftarrow 2 \cdot a.used$ \\ +8. for $ix$ from $0$ to $pa - 1$ do \\ +\hspace{3mm}8.1 $b_{ix} \leftarrow W_{ix}$ \\ +9. for $ix$ from $pa$ to $oldused - 1$ do \\ +\hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ +10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3183,24 +3216,24 @@ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm s\_mp\_sqr when -the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. - -This routine requires two arrays of mp\_words to be placed on the stack. The first array $\hat W$ will hold the double products and the second -array $\hat X$ will hold the squares. Though only at most $MP\_WARRAY \over 2$ words of $\hat X$ are used, it has proven faster on most -processors to simply make it a full size array. - -The loop on step 3 will zero the two arrays to prepare them for the squaring step. Step 4.1 computes the squares of the product. Note how -it simply assigns the value into the $\hat X$ array. The nested loop on step 4.2 computes the doubles of the products. This loop -computes the sum of the products for each column. They are not doubled until later. - -After the squaring loop, the products stored in $\hat W$ musted be doubled and the carries propagated forwards. It makes sense to do both -operations at the same time. The expression $\hat W_{ix} \leftarrow 2 \hat W_{ix} + \hat {X}_{ix}$ computes the sum of the double product and the -squares in place. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. + +First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop +products are to be doubled. If we had added the previous carry in we would be doubling too much. Next we perform an +addition MIN condition on $iy$ (step 5.5) to prevent overlapping digits. For example, $a_3 \cdot a_5$ is equal +$a_5 \cdot a_3$. Whereas in the multiplication case we would have $5 < a.used$ and $3 \ge 0$ is maintained since we double the sum +of the products just outside the inner loop we have to avoid doing this. This is also a good thing since we perform +fewer multiplications and the routine ends up being faster. + +Finally the last difference is the addition of the ``square'' term outside the inner loop (step 5.8). We add in the square +only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rfloor$ position. EXAM,bn_fast_s_mp_sqr.c --- Write something deep and insightful later, Tom. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception @@ -3312,14 +3345,13 @@ is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 it is actually below the Comba limit (\textit{at 110 digits}). -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are redirected to -the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and mp\_clears are executed normally. - -\textit{Last paragraph sucks. re-write! -- Tom} +This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are +redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and +mp\_clears are executed normally. \subsection{Toom-Cook Squaring} The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations.. The reader is encouraged to read the description of the latter algorithm and try to +instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to derive their own Toom-Cook squaring algorithm. \subsection{High Level Squaring} @@ -3362,12 +3394,9 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix point to handle inputs \\ & that have different number of digits in Karatsuba multiplication. \\ & \\ -$\left [ 3 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ +$\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ & \\ -$\left [ 2 \right ] $ & In the Comba squaring algorithm half of the $\hat X$ variables are not used. \\ - & Revise algorithm fast\_s\_mp\_sqr to shrink the $\hat X$ array. \\ - & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ @@ -3375,6 +3404,14 @@ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ +$\left [ 3 \right ] $ & Implement a threaded version of Comba multiplication (and squaring) where you \\ + & compute subsets of the columns in each thread. Determine a cutoff point where \\ + & it is effective and add the logic to mp\_mul() and mp\_sqr(). \\ + &\\ +$\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and Toom-Cook. You must \\ + & increase the throughput of mp\_exptmod() for random odd moduli in the range \\ + & $512 \ldots 4096$ bits significantly ($> 2x$) to complete this challenge. \\ + & \\ \end{tabular} \chapter{Modular Reduction} @@ -3394,7 +3431,7 @@ Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -Elliptic Curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. @@ -3610,7 +3647,7 @@ In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for future use so that the Barrett algorithm can be used without delay. -\begin{figure}[!here] +\newpage\begin{figure}[!here] \begin{small} \begin{center} \begin{tabular}{l} @@ -5818,6 +5855,8 @@ defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. +\textit{-- Tom, don't be an ass, cite your source here...!} + \begin{equation} a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\
--- a/tommath_class.h Sun Jan 02 17:09:26 2005 +0000 +++ b/tommath_class.h Wed May 11 16:15:27 2005 +0000 @@ -90,8 +90,11 @@ #define BN_MP_READ_UNSIGNED_BIN_C #define BN_MP_REDUCE_C #define BN_MP_REDUCE_2K_C +#define BN_MP_REDUCE_2K_L_C #define BN_MP_REDUCE_2K_SETUP_C +#define BN_MP_REDUCE_2K_SETUP_L_C #define BN_MP_REDUCE_IS_2K_C +#define BN_MP_REDUCE_IS_2K_L_C #define BN_MP_REDUCE_SETUP_C #define BN_MP_RSHD_C #define BN_MP_SET_C @@ -105,7 +108,9 @@ #define BN_MP_SUB_D_C #define BN_MP_SUBMOD_C #define BN_MP_TO_SIGNED_BIN_C +#define BN_MP_TO_SIGNED_BIN_N_C #define BN_MP_TO_UNSIGNED_BIN_C +#define BN_MP_TO_UNSIGNED_BIN_N_C #define BN_MP_TOOM_MUL_C #define BN_MP_TOOM_SQR_C #define BN_MP_TORADIX_C @@ -132,7 +137,7 @@ #define BN_MP_ISEVEN_C #define BN_MP_INIT_MULTI_C #define BN_MP_COPY_C - #define BN_MP_ABS_C + #define BN_MP_MOD_C #define BN_MP_SET_C #define BN_MP_DIV_2_C #define BN_MP_ISODD_C @@ -242,6 +247,7 @@ #define BN_MP_INIT_MULTI_C #define BN_MP_SET_C #define BN_MP_COUNT_BITS_C + #define BN_MP_ABS_C #define BN_MP_MUL_2D_C #define BN_MP_CMP_C #define BN_MP_SUB_C @@ -323,11 +329,12 @@ #define BN_MP_CLEAR_C #define BN_MP_ABS_C #define BN_MP_CLEAR_MULTI_C + #define BN_MP_REDUCE_IS_2K_L_C + #define BN_S_MP_EXPTMOD_C #define BN_MP_DR_IS_MODULUS_C #define BN_MP_REDUCE_IS_2K_C #define BN_MP_ISODD_C #define BN_MP_EXPTMOD_FAST_C - #define BN_S_MP_EXPTMOD_C #endif #if defined(BN_MP_EXPTMOD_FAST_C) @@ -359,6 +366,7 @@ #define BN_MP_DIV_C #define BN_MP_MUL_C #define BN_MP_SUB_C + #define BN_MP_NEG_C #define BN_MP_EXCH_C #define BN_MP_CLEAR_MULTI_C #endif @@ -433,6 +441,7 @@ #if defined(BN_MP_INVMOD_SLOW_C) #define BN_MP_ISZERO_C #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_C #define BN_MP_COPY_C #define BN_MP_ISEVEN_C #define BN_MP_SET_C @@ -724,6 +733,17 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_REDUCE_2K_L_C) + #define BN_MP_INIT_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_MUL_C + #define BN_S_MP_ADD_C + #define BN_MP_CMP_MAG_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_REDUCE_2K_SETUP_C) #define BN_MP_INIT_C #define BN_MP_COUNT_BITS_C @@ -732,11 +752,22 @@ #define BN_S_MP_SUB_C #endif +#if defined(BN_MP_REDUCE_2K_SETUP_L_C) + #define BN_MP_INIT_C + #define BN_MP_2EXPT_C + #define BN_MP_COUNT_BITS_C + #define BN_S_MP_SUB_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_REDUCE_IS_2K_C) #define BN_MP_REDUCE_2K_C #define BN_MP_COUNT_BITS_C #endif +#if defined(BN_MP_REDUCE_IS_2K_L_C) +#endif + #if defined(BN_MP_REDUCE_SETUP_C) #define BN_MP_2EXPT_C #define BN_MP_DIV_C @@ -814,6 +845,11 @@ #define BN_MP_TO_UNSIGNED_BIN_C #endif +#if defined(BN_MP_TO_SIGNED_BIN_N_C) + #define BN_MP_SIGNED_BIN_SIZE_C + #define BN_MP_TO_SIGNED_BIN_C +#endif + #if defined(BN_MP_TO_UNSIGNED_BIN_C) #define BN_MP_INIT_COPY_C #define BN_MP_ISZERO_C @@ -821,6 +857,11 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_TO_UNSIGNED_BIN_N_C) + #define BN_MP_UNSIGNED_BIN_SIZE_C + #define BN_MP_TO_UNSIGNED_BIN_C +#endif + #if defined(BN_MP_TOOM_MUL_C) #define BN_MP_INIT_MULTI_C #define BN_MP_MOD_2D_C @@ -901,10 +942,12 @@ #define BN_MP_INIT_C #define BN_MP_CLEAR_C #define BN_MP_REDUCE_SETUP_C + #define BN_MP_REDUCE_C + #define BN_MP_REDUCE_2K_SETUP_L_C + #define BN_MP_REDUCE_2K_L_C #define BN_MP_MOD_C #define BN_MP_COPY_C #define BN_MP_SQR_C - #define BN_MP_REDUCE_C #define BN_MP_MUL_C #define BN_MP_SET_C #define BN_MP_EXCH_C