Commit 3d0fcaab0a2d411b541dc9df8abd0a6be2df268f
2005-02-12T08:40:15
added libtommath-0.34
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diff --git a/bn.pdf b/bn.pdf
index 9b873e1..7993ed6 100644
Binary files a/bn.pdf and b/bn.pdf differ
diff --git a/bn.tex b/bn.tex
index 962d6ea..0174896 100644
--- a/bn.tex
+++ b/bn.tex
@@ -49,7 +49,7 @@
\begin{document}
\frontmatter
\pagestyle{empty}
-\title{LibTomMath User Manual \\ v0.33}
+\title{LibTomMath User Manual \\ v0.34}
\author{Tom St Denis \\ tomstdenis@iahu.ca}
\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 @@ are the pros and cons of LibTomMath by comparing it to the math routines from Gn
\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 @@ would require when working with large integers.
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 @@ mp\_int variables based on their digits only.
\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 @@ int mp_sqr (mp_int * a, mp_int * b);
\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 @@ of $b$. This algorithm accepts an input $a$ of any range and is not limited by
\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 @@ be computed once. Modular reduction can now be performed with the following.
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 @@ will return $-2$.
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}
diff --git a/bn_fast_mp_invmod.c b/bn_fast_mp_invmod.c
index b5b9f10..ff7a6a1 100644
--- a/bn_fast_mp_invmod.c
+++ b/bn_fast_mp_invmod.c
@@ -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;
diff --git a/bn_fast_mp_montgomery_reduce.c b/bn_fast_mp_montgomery_reduce.c
index 7373ae6..14f307f 100644
--- a/bn_fast_mp_montgomery_reduce.c
+++ b/bn_fast_mp_montgomery_reduce.c
@@ -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];
diff --git a/bn_fast_s_mp_mul_digs.c b/bn_fast_s_mp_mul_digs.c
index e1ff5f3..ee83506 100644
--- a/bn_fast_s_mp_mul_digs.c
+++ b/bn_fast_s_mp_mul_digs.c
@@ -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];
@@ -81,7 +80,7 @@ fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
}
/* store final carry */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* setup dest */
olduse = c->used;
diff --git a/bn_fast_s_mp_mul_high_digs.c b/bn_fast_s_mp_mul_high_digs.c
index 064a9dd..ed45de3 100644
--- a/bn_fast_s_mp_mul_high_digs.c
+++ b/bn_fast_s_mp_mul_high_digs.c
@@ -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];
@@ -72,7 +71,7 @@ fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
}
/* store final carry */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* setup dest */
olduse = c->used;
diff --git a/bn_fast_s_mp_sqr.c b/bn_fast_s_mp_sqr.c
index d6014ab..04788cc 100644
--- a/bn_fast_s_mp_sqr.c
+++ b/bn_fast_s_mp_sqr.c
@@ -101,7 +101,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b)
}
/* store it */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* make next carry */
W1 = _W >> ((mp_word)DIGIT_BIT);
diff --git a/bn_mp_exptmod.c b/bn_mp_exptmod.c
index 7309170..7c4e2f8 100644
--- a/bn_mp_exptmod.c
+++ b/bn_mp_exptmod.c
@@ -65,21 +65,29 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
#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 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
#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;
diff --git a/bn_mp_exptmod_fast.c b/bn_mp_exptmod_fast.c
index 255e9d9..82be9ac 100644
--- a/bn_mp_exptmod_fast.c
+++ b/bn_mp_exptmod_fast.c
@@ -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;
diff --git a/bn_mp_mul_d.c b/bn_mp_mul_d.c
index f936361..9e11eef 100644
--- a/bn_mp_mul_d.c
+++ b/bn_mp_mul_d.c
@@ -57,8 +57,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c)
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) {
diff --git a/bn_mp_prime_random_ex.c b/bn_mp_prime_random_ex.c
index 2010ebe..78c0583 100644
--- a/bn_mp_prime_random_ex.c
+++ b/bn_mp_prime_random_ex.c
@@ -60,7 +60,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback
/* 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) {
@@ -68,7 +68,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback
}
/* get the maskOR_lsb */
- maskOR_lsb = 0;
+ maskOR_lsb = 1;
if (flags & LTM_PRIME_BBS) {
maskOR_lsb |= 3;
}
diff --git a/bn_mp_read_radix.c b/bn_mp_read_radix.c
index 704bd0f..1ec3937 100644
--- a/bn_mp_read_radix.c
+++ b/bn_mp_read_radix.c
@@ -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;
diff --git a/bn_mp_reduce.c b/bn_mp_reduce.c
index cfcb55a..e84f81d 100644
--- a/bn_mp_reduce.c
+++ b/bn_mp_reduce.c
@@ -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;
diff --git a/bn_mp_reduce_2k.c b/bn_mp_reduce_2k.c
index a5a9c74..28c3a00 100644
--- a/bn_mp_reduce_2k.c
+++ b/bn_mp_reduce_2k.c
@@ -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;
diff --git a/bn_mp_reduce_2k_l.c b/bn_mp_reduce_2k_l.c
new file mode 100644
index 0000000..1d7e1f0
--- /dev/null
+++ b/bn_mp_reduce_2k_l.c
@@ -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, tomstdenis@iahu.ca, 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
diff --git a/bn_mp_reduce_2k_setup.c b/bn_mp_reduce_2k_setup.c
index 5e1fb6e..585e1b7 100644
--- a/bn_mp_reduce_2k_setup.c
+++ b/bn_mp_reduce_2k_setup.c
@@ -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;
diff --git a/bn_mp_reduce_2k_setup_l.c b/bn_mp_reduce_2k_setup_l.c
new file mode 100644
index 0000000..810a456
--- /dev/null
+++ b/bn_mp_reduce_2k_setup_l.c
@@ -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, tomstdenis@iahu.ca, 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
diff --git a/bn_mp_reduce_is_2k.c b/bn_mp_reduce_is_2k.c
index fc81397..0fb8384 100644
--- a/bn_mp_reduce_is_2k.c
+++ b/bn_mp_reduce_is_2k.c
@@ -22,9 +22,9 @@ int mp_reduce_is_2k(mp_int *a)
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 @@ int mp_reduce_is_2k(mp_int *a)
/* 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 @@ int mp_reduce_is_2k(mp_int *a)
}
}
}
- return 1;
+ return MP_YES;
}
#endif
diff --git a/bn_mp_reduce_is_2k_l.c b/bn_mp_reduce_is_2k_l.c
new file mode 100644
index 0000000..ceba0ed
--- /dev/null
+++ b/bn_mp_reduce_is_2k_l.c
@@ -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, tomstdenis@iahu.ca, 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
diff --git a/bn_mp_to_signed_bin.c b/bn_mp_to_signed_bin.c
index 0e40d0f..b0a597e 100644
--- a/bn_mp_to_signed_bin.c
+++ b/bn_mp_to_signed_bin.c
@@ -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;
diff --git a/bn_mp_to_signed_bin_n.c b/bn_mp_to_signed_bin_n.c
new file mode 100644
index 0000000..0f765ee
--- /dev/null
+++ b/bn_mp_to_signed_bin_n.c
@@ -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, tomstdenis@iahu.ca, 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
diff --git a/bn_mp_to_unsigned_bin.c b/bn_mp_to_unsigned_bin.c
index 763e346..000967e 100644
--- a/bn_mp_to_unsigned_bin.c
+++ b/bn_mp_to_unsigned_bin.c
@@ -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;
diff --git a/bn_mp_to_unsigned_bin_n.c b/bn_mp_to_unsigned_bin_n.c
new file mode 100644
index 0000000..d0256b4
--- /dev/null
+++ b/bn_mp_to_unsigned_bin_n.c
@@ -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, tomstdenis@iahu.ca, 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
diff --git a/bn_mp_unsigned_bin_size.c b/bn_mp_unsigned_bin_size.c
index 80da415..091f406 100644
--- a/bn_mp_unsigned_bin_size.c
+++ b/bn_mp_unsigned_bin_size.c
@@ -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));
diff --git a/bn_s_mp_exptmod.c b/bn_s_mp_exptmod.c
index 01a766f..597e877 100644
--- a/bn_s_mp_exptmod.c
+++ b/bn_s_mp_exptmod.c
@@ -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);
@@ -72,9 +73,18 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_init (&mu)) != MP_OKAY) {
goto LBL_M;
}
- if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) {
- goto LBL_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
*
@@ -96,11 +106,14 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
}
for (x = 0; x < (winsize - 1); x++) {
+ /* square it */
if ((err = mp_sqr (&M[1 << (winsize - 1)],
&M[1 << (winsize - 1)])) != MP_OKAY) {
goto LBL_MU;
}
- if ((err = mp_reduce (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) {
+
+ /* reduce modulo P */
+ if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) {
goto LBL_MU;
}
}
@@ -112,7 +125,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) {
goto LBL_MU;
}
- if ((err = mp_reduce (&M[x], P, &mu)) != MP_OKAY) {
+ if ((err = redux (&M[x], P, &mu)) != MP_OKAY) {
goto LBL_MU;
}
}
@@ -161,7 +174,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
continue;
@@ -178,7 +191,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
}
@@ -187,7 +200,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
@@ -205,7 +218,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
@@ -215,7 +228,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
}
diff --git a/bncore.c b/bncore.c
index cf8a15a..82e3132 100644
--- a/bncore.c
+++ b/bncore.c
@@ -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;
diff --git a/callgraph.txt b/callgraph.txt
index 4dc4cba..031d168 100644
--- a/callgraph.txt
+++ b/callgraph.txt
@@ -973,61 +973,187 @@ BN_MP_EXPTMOD_C
| +--->BN_MP_COPY_C
| | +--->BN_MP_GROW_C
+--->BN_MP_CLEAR_MULTI_C
-+--->BN_MP_DR_IS_MODULUS_C
-+--->BN_MP_REDUCE_IS_2K_C
-| +--->BN_MP_REDUCE_2K_C
-| | +--->BN_MP_COUNT_BITS_C
-| | +--->BN_MP_DIV_2D_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_MOD_2D_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_MP_MUL_D_C
+| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C
| | | +--->BN_MP_GROW_C
| | | +--->BN_MP_CLAMP_C
-| | +--->BN_S_MP_ADD_C
-| | | +--->BN_MP_GROW_C
+| | +--->BN_MP_MOD_2D_C
+| | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_COPY_C
+| | | | +--->BN_MP_GROW_C
| | | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_CMP_MAG_C
-| | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_GROW_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_COUNT_BITS_C
-+--->BN_MP_EXPTMOD_FAST_C
-| +--->BN_MP_COUNT_BITS_C
-| +--->BN_MP_MONTGOMERY_SETUP_C
-| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | +--->BN_MP_GROW_C
-| | +--->BN_MP_RSHD_C
-| | | +--->BN_MP_ZERO_C
-| | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_CMP_MAG_C
-| | +--->BN_S_MP_SUB_C
-| +--->BN_MP_MONTGOMERY_REDUCE_C
-| | +--->BN_MP_GROW_C
-| | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_RSHD_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_CMP_MAG_C
-| | +--->BN_S_MP_SUB_C
-| +--->BN_MP_DR_SETUP_C
-| +--->BN_MP_DR_REDUCE_C
-| | +--->BN_MP_GROW_C
-| | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_CMP_MAG_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_REDUCE_2K_SETUP_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_C
+| +--->BN_MP_REDUCE_2K_L_C
| | +--->BN_MP_DIV_2D_C
| | | +--->BN_MP_COPY_C
| | | | +--->BN_MP_GROW_C
@@ -1037,29 +1163,6 @@ BN_MP_EXPTMOD_C
| | | +--->BN_MP_RSHD_C
| | | +--->BN_MP_CLAMP_C
| | | +--->BN_MP_EXCH_C
-| | +--->BN_MP_MUL_D_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
-| | +--->BN_MP_2EXPT_C
-| | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_GROW_C
-| | +--->BN_MP_SET_C
-| | | +--->BN_MP_ZERO_C
-| | +--->BN_MP_MUL_2_C
-| | | +--->BN_MP_GROW_C
-| | +--->BN_MP_CMP_MAG_C
-| | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
-| +--->BN_MP_MULMOD_C
| | +--->BN_MP_MUL_C
| | | +--->BN_MP_TOOM_MUL_C
| | | | +--->BN_MP_INIT_MULTI_C
@@ -1132,80 +1235,32 @@ BN_MP_EXPTMOD_C
| | | | +--->BN_MP_INIT_SIZE_C
| | | | +--->BN_MP_CLAMP_C
| | | | +--->BN_MP_EXCH_C
-| | +--->BN_MP_MOD_C
-| | | +--->BN_MP_DIV_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_MP_COPY_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_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_SET_C
-| | +--->BN_MP_ZERO_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_CLAMP_C
+| | | | +--->BN_S_MP_SUB_C
| | | | | +--->BN_MP_GROW_C
| | | | | +--->BN_MP_CLAMP_C
| | | +--->BN_MP_ADD_C
@@ -1379,79 +1434,245 @@ BN_MP_EXPTMOD_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_S_MP_EXPTMOD_C
++--->BN_MP_DR_IS_MODULUS_C
++--->BN_MP_REDUCE_IS_2K_C
+| +--->BN_MP_REDUCE_2K_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_RSHD_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_EXCH_C
+| | +--->BN_MP_MUL_D_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| +--->BN_MP_REDUCE_SETUP_C
++--->BN_MP_EXPTMOD_FAST_C
+| +--->BN_MP_COUNT_BITS_C
+| +--->BN_MP_MONTGOMERY_SETUP_C
+| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | +--->BN_MP_GROW_C
+| | +--->BN_MP_RSHD_C
+| | | +--->BN_MP_ZERO_C
+| | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_CMP_MAG_C
+| | +--->BN_S_MP_SUB_C
+| +--->BN_MP_MONTGOMERY_REDUCE_C
+| | +--->BN_MP_GROW_C
+| | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_RSHD_C
+| | | +--->BN_MP_ZERO_C
+| | +--->BN_MP_CMP_MAG_C
+| | +--->BN_S_MP_SUB_C
+| +--->BN_MP_DR_SETUP_C
+| +--->BN_MP_DR_REDUCE_C
+| | +--->BN_MP_GROW_C
+| | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_CMP_MAG_C
+| | +--->BN_S_MP_SUB_C
+| +--->BN_MP_REDUCE_2K_SETUP_C
| | +--->BN_MP_2EXPT_C
| | | +--->BN_MP_ZERO_C
| | | +--->BN_MP_GROW_C
-| | +--->BN_MP_DIV_C
-| | | +--->BN_MP_CMP_MAG_C
+| | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| +--->BN_MP_REDUCE_2K_C
+| | +--->BN_MP_DIV_2D_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_MOD_2D_C
| | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_C
-| | | +--->BN_MP_SUB_C
-| | | | +--->BN_S_MP_ADD_C
-| | | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_RSHD_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_EXCH_C
+| | +--->BN_MP_MUL_D_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | +--->BN_MP_2EXPT_C
+| | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_GROW_C
+| | +--->BN_MP_SET_C
+| | | +--->BN_MP_ZERO_C
+| | +--->BN_MP_MUL_2_C
+| | | +--->BN_MP_GROW_C
+| | +--->BN_MP_CMP_MAG_C
+| | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| +--->BN_MP_MULMOD_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_S_MP_SUB_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_ADD_C
-| | | | +--->BN_S_MP_ADD_C
+| | | | +--->BN_MP_MUL_2D_C
| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_LSHD_C
| | | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_MUL_D_C
| | | | | +--->BN_MP_GROW_C
| | | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_DIV_2D_C
-| | | | +--->BN_MP_MOD_2D_C
+| | | | +--->BN_MP_DIV_3_C
+| | | | | +--->BN_MP_INIT_SIZE_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_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_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_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_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_S_MP_MUL_DIGS_C
+| | | | +--->BN_MP_INIT_SIZE_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_EXCH_C
+| | +--->BN_MP_MOD_C
+| | | +--->BN_MP_DIV_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_MP_COPY_C
| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_ADD_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_SET_C
+| | +--->BN_MP_ZERO_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
@@ -1554,120 +1775,6 @@ BN_MP_EXPTMOD_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_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
@@ -1736,8 +1843,6 @@ BN_MP_EXPTMOD_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
@@ -1833,93 +1938,63 @@ BN_MP_PRIME_FERMAT_C
| | +--->BN_MP_COPY_C
| | | +--->BN_MP_GROW_C
| +--->BN_MP_CLEAR_MULTI_C
-| +--->BN_MP_DR_IS_MODULUS_C
-| +--->BN_MP_REDUCE_IS_2K_C
-| | +--->BN_MP_REDUCE_2K_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_RSHD_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_EXCH_C
-| | | +--->BN_MP_MUL_D_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| +--->BN_MP_EXPTMOD_FAST_C
+| +--->BN_MP_REDUCE_IS_2K_L_C
+| +--->BN_S_MP_EXPTMOD_C
| | +--->BN_MP_COUNT_BITS_C
-| | +--->BN_MP_MONTGOMERY_SETUP_C
-| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_RSHD_C
-| | | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_MONTGOMERY_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_RSHD_C
-| | | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_DR_SETUP_C
-| | +--->BN_MP_DR_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_REDUCE_2K_SETUP_C
+| | +--->BN_MP_REDUCE_SETUP_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_C
-| | | +--->BN_MP_DIV_2D_C
+| | | +--->BN_MP_DIV_C
+| | | | +--->BN_MP_CMP_MAG_C
| | | | +--->BN_MP_COPY_C
| | | | | +--->BN_MP_GROW_C
| | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_MOD_2D_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_RSHD_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_EXCH_C
-| | | +--->BN_MP_MUL_D_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
-| | | +--->BN_MP_2EXPT_C
-| | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_SET_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_2_C
-| | | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_MULMOD_C
| | | +--->BN_MP_MUL_C
| | | | +--->BN_MP_TOOM_MUL_C
| | | | | +--->BN_MP_INIT_MULTI_C
@@ -1930,8 +2005,6 @@ BN_MP_PRIME_FERMAT_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
@@ -1983,8 +2056,6 @@ BN_MP_PRIME_FERMAT_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
@@ -1992,62 +2063,149 @@ BN_MP_PRIME_FERMAT_C
| | | | | +--->BN_MP_INIT_SIZE_C
| | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_EXCH_C
-| | | +--->BN_MP_MOD_C
-| | | | +--->BN_MP_DIV_C
-| | | | | +--->BN_MP_CMP_MAG_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_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_ZERO_C
-| | | | | +--->BN_MP_INIT_MULTI_C
-| | | | | +--->BN_MP_SET_C
-| | | | | +--->BN_MP_MUL_2D_C
+| | | | | +--->BN_MP_RSHD_C
+| | | | | | +--->BN_MP_ZERO_C
+| | | | | +--->BN_MP_MUL_2_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_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_ADD_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_2D_C
-| | | | | | +--->BN_MP_MOD_2D_C
-| | | | | | | +--->BN_MP_CLAMP_C
-| | | | | | +--->BN_MP_RSHD_C
+| | | | | +--->BN_MP_DIV_2_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_MUL_2D_C
| | | | | | +--->BN_MP_GROW_C
-| | | | | | +--->BN_MP_RSHD_C
-| | | | | +--->BN_MP_RSHD_C
+| | | | | | +--->BN_MP_LSHD_C
+| | | | | | +--->BN_MP_CLAMP_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_DIV_3_C
+| | | | | | +--->BN_MP_INIT_SIZE_C
| | | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
+| | | | | | +--->BN_MP_EXCH_C
+| | | | | +--->BN_MP_LSHD_C
| | | | | | +--->BN_MP_GROW_C
-| | | | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_EXCH_C
-| | +--->BN_MP_SET_C
-| | | +--->BN_MP_ZERO_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
@@ -2055,6 +2213,7 @@ BN_MP_PRIME_FERMAT_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
@@ -2239,57 +2398,224 @@ BN_MP_PRIME_FERMAT_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_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_DR_IS_MODULUS_C
+| +--->BN_MP_REDUCE_IS_2K_C
+| | +--->BN_MP_REDUCE_2K_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_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_MOD_2D_C
| | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_EXCH_C
+| | | | +--->BN_MP_RSHD_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_MUL_D_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
+| +--->BN_MP_EXPTMOD_FAST_C
+| | +--->BN_MP_COUNT_BITS_C
+| | +--->BN_MP_MONTGOMERY_SETUP_C
+| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_RSHD_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_MONTGOMERY_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_RSHD_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_DR_SETUP_C
+| | +--->BN_MP_DR_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_REDUCE_2K_SETUP_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_C
+| | | +--->BN_MP_DIV_2D_C
+| | | | +--->BN_MP_COPY_C
| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_RSHD_C
+| | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_MOD_2D_C
+| | | | | +--->BN_MP_CLAMP_C
| | | | +--->BN_MP_RSHD_C
-| | | | +--->BN_MP_MUL_D_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_EXCH_C
+| | | +--->BN_MP_MUL_D_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | +--->BN_MP_2EXPT_C
+| | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_SET_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_MUL_2_C
+| | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_MULMOD_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_MP_CLAMP_C
+| | | | +--->BN_S_MP_MUL_DIGS_C
+| | | | | +--->BN_MP_INIT_SIZE_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | | | +--->BN_MP_EXCH_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_SET_C
+| | | +--->BN_MP_ZERO_C
| | +--->BN_MP_MOD_C
| | | +--->BN_MP_DIV_C
| | | | +--->BN_MP_CMP_MAG_C
@@ -2297,7 +2623,6 @@ BN_MP_PRIME_FERMAT_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
@@ -2414,139 +2739,26 @@ BN_MP_PRIME_FERMAT_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_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_MUL_2D_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_S_MP_SUB_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_SUB_C
+| | | | | +--->BN_S_MP_ADD_C
| | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_CMP_MAG_C
@@ -2595,8 +2807,6 @@ BN_MP_PRIME_FERMAT_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
@@ -3533,73 +3743,52 @@ BN_MP_PRIME_RANDOM_EX_C
| | | | +--->BN_MP_COPY_C
| | | | | +--->BN_MP_GROW_C
| | | +--->BN_MP_CLEAR_MULTI_C
-| | | +--->BN_MP_DR_IS_MODULUS_C
-| | | +--->BN_MP_REDUCE_IS_2K_C
-| | | | +--->BN_MP_REDUCE_2K_C
-| | | | | +--->BN_MP_COUNT_BITS_C
-| | | | | +--->BN_MP_MUL_D_C
-| | | | | | +--->BN_MP_GROW_C
-| | | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| | | +--->BN_MP_EXPTMOD_FAST_C
+| | | +--->BN_MP_REDUCE_IS_2K_L_C
+| | | +--->BN_S_MP_EXPTMOD_C
| | | | +--->BN_MP_COUNT_BITS_C
-| | | | +--->BN_MP_MONTGOMERY_SETUP_C
-| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_RSHD_C
-| | | | | | +--->BN_MP_ZERO_C
-| | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
-| | | | +--->BN_MP_MONTGOMERY_REDUCE_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_RSHD_C
-| | | | | | +--->BN_MP_ZERO_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
-| | | | +--->BN_MP_DR_SETUP_C
-| | | | +--->BN_MP_DR_REDUCE_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
-| | | | +--->BN_MP_REDUCE_2K_SETUP_C
+| | | | +--->BN_MP_REDUCE_SETUP_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_C
-| | | | | +--->BN_MP_MUL_D_C
-| | | | | | +--->BN_MP_GROW_C
-| | | | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
-| | | | | +--->BN_MP_2EXPT_C
+| | | | | +--->BN_MP_DIV_C
+| | | | | | +--->BN_MP_CMP_MAG_C
+| | | | | | +--->BN_MP_COPY_C
+| | | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_ZERO_C
-| | | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_MUL_2_C
-| | | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
-| | | | | | +--->BN_MP_GROW_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_MULMOD_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
@@ -3610,8 +3799,6 @@ BN_MP_PRIME_RANDOM_EX_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
@@ -3663,8 +3850,6 @@ BN_MP_PRIME_RANDOM_EX_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
@@ -3672,57 +3857,143 @@ BN_MP_PRIME_RANDOM_EX_C
| | | | | | | +--->BN_MP_INIT_SIZE_C
| | | | | | | +--->BN_MP_CLAMP_C
| | | | | | | +--->BN_MP_EXCH_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_S_MP_MUL_HIGH_DIGS_C
+| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_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_INIT_SIZE_C
+| | | | | | +--->BN_MP_CLAMP_C
| | | | | | +--->BN_MP_EXCH_C
-| | | | +--->BN_MP_MOD_C
-| | | | | +--->BN_MP_DIV_C
-| | | | | | +--->BN_MP_CMP_MAG_C
-| | | | | | +--->BN_MP_COPY_C
-| | | | | | | +--->BN_MP_GROW_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
@@ -3903,51 +4174,194 @@ BN_MP_PRIME_RANDOM_EX_C
| | | | | | +--->BN_MP_CLAMP_C
| | | | | | +--->BN_MP_EXCH_C
| | | | +--->BN_MP_EXCH_C
-| | | +--->BN_S_MP_EXPTMOD_C
+| | | +--->BN_MP_DR_IS_MODULUS_C
+| | | +--->BN_MP_REDUCE_IS_2K_C
+| | | | +--->BN_MP_REDUCE_2K_C
+| | | | | +--->BN_MP_COUNT_BITS_C
+| | | | | +--->BN_MP_MUL_D_C
+| | | | | | +--->BN_MP_GROW_C
+| | | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| | | | +--->BN_MP_REDUCE_SETUP_C
+| | | +--->BN_MP_EXPTMOD_FAST_C
+| | | | +--->BN_MP_COUNT_BITS_C
+| | | | +--->BN_MP_MONTGOMERY_SETUP_C
+| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_RSHD_C
+| | | | | | +--->BN_MP_ZERO_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_MONTGOMERY_REDUCE_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | | | +--->BN_MP_RSHD_C
+| | | | | | +--->BN_MP_ZERO_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_DR_SETUP_C
+| | | | +--->BN_MP_DR_REDUCE_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_REDUCE_2K_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_S_MP_SUB_C
+| | | | | | +--->BN_MP_GROW_C
+| | | | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_REDUCE_2K_C
+| | | | | +--->BN_MP_MUL_D_C
+| | | | | | +--->BN_MP_GROW_C
+| | | | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | | | +--->BN_MP_2EXPT_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_GROW_C
+| | | | | +--->BN_MP_MUL_2_C
+| | | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_S_MP_SUB_C
+| | | | | | +--->BN_MP_GROW_C
+| | | | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_MULMOD_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_S_MP_SUB_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_ADD_C
-| | | | | | | +--->BN_S_MP_ADD_C
+| | | | | | | +--->BN_MP_MUL_2D_C
| | | | | | | | +--->BN_MP_GROW_C
+| | | | | | | | +--->BN_MP_LSHD_C
| | | | | | | | +--->BN_MP_CLAMP_C
-| | | | | | | +--->BN_S_MP_SUB_C
+| | | | | | | +--->BN_MP_MUL_D_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_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_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_MOD_C
+| | | | | +--->BN_MP_DIV_C
+| | | | | | +--->BN_MP_CMP_MAG_C
| | | | | | +--->BN_MP_COPY_C
| | | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_ZERO_C
@@ -4061,116 +4475,6 @@ BN_MP_PRIME_RANDOM_EX_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
@@ -4813,73 +5117,52 @@ BN_MP_PRIME_IS_PRIME_C
| | | +--->BN_MP_COPY_C
| | | | +--->BN_MP_GROW_C
| | +--->BN_MP_CLEAR_MULTI_C
-| | +--->BN_MP_DR_IS_MODULUS_C
-| | +--->BN_MP_REDUCE_IS_2K_C
-| | | +--->BN_MP_REDUCE_2K_C
-| | | | +--->BN_MP_COUNT_BITS_C
-| | | | +--->BN_MP_MUL_D_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| | +--->BN_MP_EXPTMOD_FAST_C
+| | +--->BN_MP_REDUCE_IS_2K_L_C
+| | +--->BN_S_MP_EXPTMOD_C
| | | +--->BN_MP_COUNT_BITS_C
-| | | +--->BN_MP_MONTGOMERY_SETUP_C
-| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_RSHD_C
-| | | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_MONTGOMERY_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_RSHD_C
-| | | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_DR_SETUP_C
-| | | +--->BN_MP_DR_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_REDUCE_2K_SETUP_C
+| | | +--->BN_MP_REDUCE_SETUP_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_C
-| | | | +--->BN_MP_MUL_D_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
-| | | | +--->BN_MP_2EXPT_C
+| | | | +--->BN_MP_DIV_C
+| | | | | +--->BN_MP_CMP_MAG_C
+| | | | | +--->BN_MP_COPY_C
+| | | | | | +--->BN_MP_GROW_C
| | | | | +--->BN_MP_ZERO_C
-| | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_MUL_2_C
-| | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | | | +--->BN_MP_GROW_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_MULMOD_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
@@ -4890,8 +5173,6 @@ BN_MP_PRIME_IS_PRIME_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
@@ -4943,8 +5224,6 @@ BN_MP_PRIME_IS_PRIME_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
@@ -4952,52 +5231,138 @@ BN_MP_PRIME_IS_PRIME_C
| | | | | | +--->BN_MP_INIT_SIZE_C
| | | | | | +--->BN_MP_CLAMP_C
| | | | | | +--->BN_MP_EXCH_C
-| | | | +--->BN_MP_MOD_C
-| | | | | +--->BN_MP_DIV_C
-| | | | | | +--->BN_MP_CMP_MAG_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_ZERO_C
-| | | | | | +--->BN_MP_INIT_MULTI_C
-| | | | | | +--->BN_MP_MUL_2D_C
+| | | | | | +--->BN_MP_RSHD_C
+| | | | | | | +--->BN_MP_ZERO_C
+| | | | | | +--->BN_MP_MUL_2_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_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_ADD_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_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_DIV_2_C
| | | | | | | +--->BN_MP_GROW_C
| | | | | | | +--->BN_MP_CLAMP_C
-| | | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_ADD_C
-| | | | | | +--->BN_S_MP_ADD_C
+| | | | | | +--->BN_MP_MUL_2D_C
| | | | | | | +--->BN_MP_GROW_C
+| | | | | | | +--->BN_MP_LSHD_C
| | | | | | | +--->BN_MP_CLAMP_C
-| | | | | | +--->BN_MP_CMP_MAG_C
-| | | | | | +--->BN_S_MP_SUB_C
+| | | | | | +--->BN_MP_MUL_D_C
| | | | | | | +--->BN_MP_GROW_C
| | | | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_MP_EXCH_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
@@ -5183,48 +5548,191 @@ BN_MP_PRIME_IS_PRIME_C
| | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_EXCH_C
| | | +--->BN_MP_EXCH_C
-| | +--->BN_S_MP_EXPTMOD_C
+| | +--->BN_MP_DR_IS_MODULUS_C
+| | +--->BN_MP_REDUCE_IS_2K_C
+| | | +--->BN_MP_REDUCE_2K_C
+| | | | +--->BN_MP_COUNT_BITS_C
+| | | | +--->BN_MP_MUL_D_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| | | +--->BN_MP_REDUCE_SETUP_C
+| | +--->BN_MP_EXPTMOD_FAST_C
+| | | +--->BN_MP_COUNT_BITS_C
+| | | +--->BN_MP_MONTGOMERY_SETUP_C
+| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_RSHD_C
+| | | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_MONTGOMERY_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_RSHD_C
+| | | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_DR_SETUP_C
+| | | +--->BN_MP_DR_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_REDUCE_2K_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_S_MP_SUB_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_REDUCE_2K_C
+| | | | +--->BN_MP_MUL_D_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | | +--->BN_MP_2EXPT_C
| | | | | +--->BN_MP_ZERO_C
-| | | | | +--->BN_MP_INIT_MULTI_C
-| | | | | +--->BN_MP_MUL_2D_C
-| | | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_MUL_2_C
+| | | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_MULMOD_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_MP_CMP_C
-| | | | | +--->BN_MP_SUB_C
-| | | | | | +--->BN_S_MP_ADD_C
+| | | | | +--->BN_S_MP_MUL_DIGS_C
+| | | | | | +--->BN_MP_INIT_SIZE_C
+| | | | | | +--->BN_MP_CLAMP_C
+| | | | | | +--->BN_MP_EXCH_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_S_MP_SUB_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_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
@@ -5279,178 +5787,68 @@ BN_MP_PRIME_IS_PRIME_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_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_MUL_2D_C
+| | | | | | +--->BN_MP_CMP_MAG_C
+| | | | | | +--->BN_S_MP_SUB_C
| | | | | | | +--->BN_MP_GROW_C
-| | | | | | | +--->BN_MP_LSHD_C
| | | | | | | +--->BN_MP_CLAMP_C
-| | | | | | +--->BN_MP_MUL_D_C
+| | | | | +--->BN_MP_SUB_C
+| | | | | | +--->BN_S_MP_ADD_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_CMP_MAG_C
+| | | | | | +--->BN_S_MP_SUB_C
| | | | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_KARATSUBA_MUL_C
-| | | | | | +--->BN_MP_INIT_SIZE_C
+| | | | | | | +--->BN_MP_CLAMP_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_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_MUL_2D_C
+| | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_LSHD_C
-| | | | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C
+| | | | | | +--->BN_MP_CLAMP_C
+| | | | | +--->BN_MP_MUL_D_C
| | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_CLAMP_C
-| | | | | +--->BN_S_MP_MUL_DIGS_C
+| | | | | +--->BN_MP_DIV_3_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_LSHD_C
| | | | | | +--->BN_MP_GROW_C
-| | | | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_KARATSUBA_SQR_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_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_CLAMP_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
+| | | | | +--->BN_MP_LSHD_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_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
@@ -6556,73 +6954,173 @@ BN_MP_PRIME_NEXT_PRIME_C
| | | +--->BN_MP_COPY_C
| | | | +--->BN_MP_GROW_C
| | +--->BN_MP_CLEAR_MULTI_C
-| | +--->BN_MP_DR_IS_MODULUS_C
-| | +--->BN_MP_REDUCE_IS_2K_C
-| | | +--->BN_MP_REDUCE_2K_C
-| | | | +--->BN_MP_COUNT_BITS_C
-| | | | +--->BN_MP_MUL_D_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| | +--->BN_MP_EXPTMOD_FAST_C
+| | +--->BN_MP_REDUCE_IS_2K_L_C
+| | +--->BN_S_MP_EXPTMOD_C
| | | +--->BN_MP_COUNT_BITS_C
-| | | +--->BN_MP_MONTGOMERY_SETUP_C
-| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_RSHD_C
-| | | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_MONTGOMERY_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_RSHD_C
-| | | | | +--->BN_MP_ZERO_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_DR_SETUP_C
-| | | +--->BN_MP_DR_REDUCE_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_C
-| | | +--->BN_MP_REDUCE_2K_SETUP_C
+| | | +--->BN_MP_REDUCE_SETUP_C
| | | | +--->BN_MP_2EXPT_C
| | | | | +--->BN_MP_ZERO_C
| | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_S_MP_SUB_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_REDUCE_2K_C
-| | | | +--->BN_MP_MUL_D_C
-| | | | | +--->BN_MP_GROW_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_ADD_C
-| | | | | +--->BN_MP_GROW_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_CMP_MAG_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | +--->BN_MP_REDUCE_2K_SETUP_L_C
| | | | +--->BN_MP_2EXPT_C
| | | | | +--->BN_MP_ZERO_C
| | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_MUL_2_C
-| | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CMP_MAG_C
| | | | +--->BN_S_MP_SUB_C
| | | | | +--->BN_MP_GROW_C
| | | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_MULMOD_C
+| | | +--->BN_MP_REDUCE_2K_L_C
| | | | +--->BN_MP_MUL_C
| | | | | +--->BN_MP_TOOM_MUL_C
| | | | | | +--->BN_MP_INIT_MULTI_C
@@ -6695,52 +7193,13 @@ BN_MP_PRIME_NEXT_PRIME_C
| | | | | | +--->BN_MP_INIT_SIZE_C
| | | | | | +--->BN_MP_CLAMP_C
| | | | | | +--->BN_MP_EXCH_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_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
@@ -6856,168 +7315,9 @@ BN_MP_PRIME_NEXT_PRIME_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_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_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
@@ -7058,7 +7358,7 @@ BN_MP_PRIME_NEXT_PRIME_C
| | | | | | +--->BN_MP_EXCH_C
| | | | | +--->BN_MP_LSHD_C
| | | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_KARATSUBA_SQR_C
+| | | | +--->BN_MP_KARATSUBA_MUL_C
| | | | | +--->BN_MP_INIT_SIZE_C
| | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_SUB_C
@@ -7067,32 +7367,103 @@ BN_MP_PRIME_NEXT_PRIME_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_S_MP_ADD_C
+| | | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_CMP_MAG_C
| | | | | | +--->BN_S_MP_SUB_C
| | | | | | | +--->BN_MP_GROW_C
-| | | | +--->BN_FAST_S_MP_SQR_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_SQR_C
+| | | | +--->BN_S_MP_MUL_DIGS_C
| | | | | +--->BN_MP_INIT_SIZE_C
| | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_EXCH_C
-| | | +--->BN_MP_REDUCE_C
+| | | +--->BN_MP_EXCH_C
+| | +--->BN_MP_DR_IS_MODULUS_C
+| | +--->BN_MP_REDUCE_IS_2K_C
+| | | +--->BN_MP_REDUCE_2K_C
+| | | | +--->BN_MP_COUNT_BITS_C
+| | | | +--->BN_MP_MUL_D_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
+| | +--->BN_MP_EXPTMOD_FAST_C
+| | | +--->BN_MP_COUNT_BITS_C
+| | | +--->BN_MP_MONTGOMERY_SETUP_C
+| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_RSHD_C
+| | | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_MONTGOMERY_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
| | | | +--->BN_MP_RSHD_C
| | | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_DR_SETUP_C
+| | | +--->BN_MP_DR_REDUCE_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_REDUCE_2K_SETUP_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_C
+| | | | +--->BN_MP_MUL_D_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | | +--->BN_MP_2EXPT_C
+| | | | | +--->BN_MP_ZERO_C
+| | | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_MUL_2_C
+| | | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CMP_MAG_C
+| | | | +--->BN_S_MP_SUB_C
+| | | | | +--->BN_MP_GROW_C
+| | | | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_MULMOD_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
@@ -7144,6 +7515,8 @@ BN_MP_PRIME_NEXT_PRIME_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
@@ -7151,27 +7524,90 @@ BN_MP_PRIME_NEXT_PRIME_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_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_INIT_SIZE_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_FAST_S_MP_MUL_HIGH_DIGS_C
-| | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_MOD_2D_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_CLAMP_C
-| | | | +--->BN_S_MP_MUL_DIGS_C
-| | | | | +--->BN_FAST_S_MP_MUL_DIGS_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_EXCH_C
-| | | | +--->BN_MP_SUB_C
+| | | | +--->BN_MP_ADD_C
| | | | | +--->BN_S_MP_ADD_C
| | | | | | +--->BN_MP_GROW_C
| | | | | | +--->BN_MP_CLAMP_C
@@ -7179,21 +7615,77 @@ BN_MP_PRIME_NEXT_PRIME_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_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_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_C
+| | | | | +--->BN_MP_MUL_2D_C
| | | | | | +--->BN_MP_GROW_C
+| | | | | | +--->BN_MP_LSHD_C
| | | | | | +--->BN_MP_CLAMP_C
-| | | | +--->BN_MP_CMP_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | +--->BN_S_MP_SUB_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
@@ -7604,6 +8096,107 @@ BN_MP_LCM_C
| +--->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
@@ -7671,6 +8264,18 @@ BN_MP_GCD_C
+--->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
@@ -7918,70 +8523,290 @@ BN_MP_EXPT_D_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_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_EXPTMOD_C
++--->BN_MP_COUNT_BITS_C
++--->BN_MP_INIT_C
++--->BN_MP_CLEAR_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_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_RSHD_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_EXCH_C
+| | +--->BN_MP_EXCH_C
+| | +--->BN_MP_CLEAR_MULTI_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_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_S_MP_EXPTMOD_C
-+--->BN_MP_COUNT_BITS_C
-+--->BN_MP_INIT_C
-+--->BN_MP_CLEAR_C
-+--->BN_MP_REDUCE_SETUP_C
-| +--->BN_MP_2EXPT_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_DIV_C
+| +--->BN_MP_ADD_C
+| | +--->BN_S_MP_ADD_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
| | +--->BN_MP_CMP_MAG_C
-| | +--->BN_MP_COPY_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_INIT_MULTI_C
-| | +--->BN_MP_SET_C
-| | +--->BN_MP_ABS_C
-| | +--->BN_MP_MUL_2D_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_LSHD_C
-| | | | +--->BN_MP_RSHD_C
+| | +--->BN_MP_ZERO_C
+| | +--->BN_MP_MOD_2D_C
| | | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_CMP_C
-| | +--->BN_MP_SUB_C
-| | | +--->BN_S_MP_ADD_C
-| | | | +--->BN_MP_GROW_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_S_MP_SUB_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_ADD_C
-| | | +--->BN_S_MP_ADD_C
+| | | +--->BN_MP_MUL_2D_C
| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_LSHD_C
| | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_S_MP_SUB_C
+| | | +--->BN_MP_MUL_D_C
| | | | +--->BN_MP_GROW_C
| | | | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_DIV_2D_C
-| | | +--->BN_MP_MOD_2D_C
+| | | +--->BN_MP_DIV_3_C
+| | | | +--->BN_MP_INIT_SIZE_C
| | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_RSHD_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_EXCH_C
-| | +--->BN_MP_EXCH_C
-| | +--->BN_MP_CLEAR_MULTI_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_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
@@ -8073,158 +8898,43 @@ BN_S_MP_EXPTMOD_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_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_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_CLAMP_C
+| | +--->BN_MP_MUL_D_C
| | | +--->BN_MP_GROW_C
| | | +--->BN_MP_CLAMP_C
-| | +--->BN_S_MP_MUL_DIGS_C
+| | +--->BN_MP_DIV_3_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_LSHD_C
| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_CLEAR_MULTI_C
+| +--->BN_MP_KARATSUBA_SQR_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_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_CLAMP_C
-| | +--->BN_MP_CMP_MAG_C
-| | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_LSHD_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_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
@@ -8529,6 +9239,31 @@ BN_MP_ADD_C
| +--->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
@@ -8556,6 +9291,26 @@ BN_MP_RSHD_C
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
@@ -9333,75 +10088,176 @@ BN_MP_PRIME_MILLER_RABIN_C
| | +--->BN_MP_COPY_C
| | | +--->BN_MP_GROW_C
| +--->BN_MP_CLEAR_MULTI_C
-| +--->BN_MP_DR_IS_MODULUS_C
-| +--->BN_MP_REDUCE_IS_2K_C
-| | +--->BN_MP_REDUCE_2K_C
-| | | +--->BN_MP_COUNT_BITS_C
-| | | +--->BN_MP_MUL_D_C
-| | | | +--->BN_MP_GROW_C
-| | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
-| +--->BN_MP_EXPTMOD_FAST_C
+| +--->BN_MP_REDUCE_IS_2K_L_C
+| +--->BN_S_MP_EXPTMOD_C
| | +--->BN_MP_COUNT_BITS_C
-| | +--->BN_MP_MONTGOMERY_SETUP_C
-| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_RSHD_C
-| | | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_MONTGOMERY_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_RSHD_C
-| | | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_DR_SETUP_C
-| | +--->BN_MP_DR_REDUCE_C
-| | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_MAG_C
-| | | +--->BN_S_MP_SUB_C
-| | +--->BN_MP_REDUCE_2K_SETUP_C
+| | +--->BN_MP_REDUCE_SETUP_C
| | | +--->BN_MP_2EXPT_C
| | | | +--->BN_MP_ZERO_C
| | | | +--->BN_MP_GROW_C
-| | | +--->BN_S_MP_SUB_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_REDUCE_2K_C
-| | | +--->BN_MP_MUL_D_C
+| | | | +--->BN_MP_EXCH_C
+| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C
| | | | +--->BN_MP_GROW_C
| | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_S_MP_ADD_C
-| | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_MOD_2D_C
+| | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_COPY_C
+| | | | | +--->BN_MP_GROW_C
| | | | +--->BN_MP_CLAMP_C
-| | | +--->BN_MP_CMP_MAG_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | +--->BN_MP_REDUCE_2K_SETUP_L_C
| | | +--->BN_MP_2EXPT_C
| | | | +--->BN_MP_ZERO_C
| | | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_SET_C
-| | | | +--->BN_MP_ZERO_C
-| | | +--->BN_MP_MUL_2_C
-| | | | +--->BN_MP_GROW_C
-| | | +--->BN_MP_CMP_MAG_C
| | | +--->BN_S_MP_SUB_C
| | | | +--->BN_MP_GROW_C
| | | | +--->BN_MP_CLAMP_C
-| | +--->BN_MP_MULMOD_C
+| | +--->BN_MP_REDUCE_2K_L_C
| | | +--->BN_MP_MUL_C
| | | | +--->BN_MP_TOOM_MUL_C
| | | | | +--->BN_MP_INIT_MULTI_C
@@ -9474,55 +10330,13 @@ BN_MP_PRIME_MILLER_RABIN_C
| | | | | +--->BN_MP_INIT_SIZE_C
| | | | | +--->BN_MP_CLAMP_C
| | | | | +--->BN_MP_EXCH_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_SET_C
-| | | +--->BN_MP_ZERO_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
@@ -9530,6 +10344,7 @@ BN_MP_PRIME_MILLER_RABIN_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
@@ -9653,104 +10468,253 @@ BN_MP_PRIME_MILLER_RABIN_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_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
+| | | +--->BN_MP_COUNT_BITS_C
+| | | +--->BN_MP_MUL_D_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_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_COUNT_BITS_C
+| +--->BN_MP_EXPTMOD_FAST_C
+| | +--->BN_MP_COUNT_BITS_C
+| | +--->BN_MP_MONTGOMERY_SETUP_C
+| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_RSHD_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_MONTGOMERY_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_RSHD_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_DR_SETUP_C
+| | +--->BN_MP_DR_REDUCE_C
+| | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CLAMP_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | +--->BN_MP_REDUCE_2K_SETUP_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_C
+| | | +--->BN_MP_MUL_D_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_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_MONTGOMERY_CALC_NORMALIZATION_C
+| | | +--->BN_MP_2EXPT_C
+| | | | +--->BN_MP_ZERO_C
+| | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_SET_C
+| | | | +--->BN_MP_ZERO_C
+| | | +--->BN_MP_MUL_2_C
+| | | | +--->BN_MP_GROW_C
+| | | +--->BN_MP_CMP_MAG_C
+| | | +--->BN_S_MP_SUB_C
+| | | | +--->BN_MP_GROW_C
+| | | | +--->BN_MP_CLAMP_C
+| | +--->BN_MP_MULMOD_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_SUB_C
-| | | | | +--->BN_S_MP_ADD_C
+| | | | | +--->BN_MP_MUL_D_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_DIV_3_C
+| | | | | | +--->BN_MP_INIT_SIZE_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_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_MUL_D_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_MP_DIV_3_C
+| | | | +--->BN_S_MP_MUL_DIGS_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_MOD_C
+| | | | +--->BN_MP_DIV_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_COPY_C
| | | | | | +--->BN_MP_GROW_C
-| | | | | +--->BN_MP_CMP_MAG_C
-| | | | | +--->BN_S_MP_SUB_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_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_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_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_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_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_SET_C
+| | | +--->BN_MP_ZERO_C
| | +--->BN_MP_MOD_C
| | | +--->BN_MP_DIV_C
| | | | +--->BN_MP_CMP_MAG_C
@@ -9758,7 +10722,6 @@ BN_MP_PRIME_MILLER_RABIN_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
@@ -9868,118 +10831,6 @@ BN_MP_PRIME_MILLER_RABIN_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
@@ -10048,8 +10899,6 @@ BN_MP_PRIME_MILLER_RABIN_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
diff --git a/changes.txt b/changes.txt
index 0d1ec2e..eb96813 100644
--- a/changes.txt
+++ b/changes.txt
@@ -1,3 +1,15 @@
+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
diff --git a/demo/demo.c b/demo/demo.c
index 62615cd..57604f9 100644
--- a/demo/demo.c
+++ b/demo/demo.c
@@ -9,15 +9,16 @@
#include "tommath.h"
-void ndraw(mp_int *a, char *name)
+void ndraw(mp_int * a, char *name)
{
char buf[16000];
+
printf("%s: ", name);
mp_toradix(a, buf, 10);
printf("%s\n", buf);
}
-static void draw(mp_int *a)
+static void draw(mp_int * a)
{
ndraw(a, "");
}
@@ -39,18 +40,20 @@ int lbit(void)
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;
@@ -65,108 +68,118 @@ int main(void)
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 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,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;
- }
- }
-
- 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");
+ }
+ 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 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("\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 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;
- }
+ 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;
- }
+ 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 +207,56 @@ int main(void)
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 */
-
-
- 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);
- }
- }
- }
+ 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);
+ }
+ }
+ }
/* 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 +264,438 @@ int main(void)
/* 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;
-
- mp_rand(&b, cnt - 1);
- mp_copy(&b, &c);
+ 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);
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);
-
- 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 (!(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]);
+
+ 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 */
- }
-
-
- 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_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 */
-
- 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;
- }
-
- } 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 %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, "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;
- }
- }
+ /* 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);
+
+ 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;
+ }
+
+ /* 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_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);
+
+ 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, "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;
}
-
diff --git a/demo/timing.c b/demo/timing.c
index 7b27d53..bb3be52 100644
--- a/demo/timing.c
+++ b/demo/timing.c
@@ -11,15 +11,16 @@ ulong64 _tt;
#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, "");
}
@@ -39,35 +40,38 @@ int lbit(void)
}
/* 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
+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
+#error need rdtsc function for this build
+#endif
+}
#define DO(x) x; x;
//#define DO4(x) DO2(x); DO2(x);
@@ -77,7 +81,7 @@ static ulong64 TIMFUNC (void)
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;
@@ -90,168 +94,191 @@ int main(void)
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;
-
- 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);
- }
- 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);
+
+ /* 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);
+
+ 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 < 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);
+ 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((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",
-
- /* DR moduli */
- "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079",
- "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039",
- "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431",
- "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783",
- "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147",
- "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503",
- "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679",
-
- /* generic unrestricted moduli */
- "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203",
- "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487",
- "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319",
- "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887",
- "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227",
- "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207",
- "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979",
- NULL
+ /* 2K large moduli */
+ "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217",
+ "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169",
+ "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283",
+ /* 2K moduli mersenne primes */
+ "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151",
+ "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127",
+ "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087",
+ "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007",
+ "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071",
+ "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991",
+
+ /* DR moduli */
+ "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079",
+ "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039",
+ "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431",
+ "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783",
+ "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147",
+ "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503",
+ "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679",
+
+ /* generic unrestricted moduli */
+ "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203",
+ "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487",
+ "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319",
+ "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887",
+ "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227",
+ "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207",
+ "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979",
+ 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;
- }
- 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);
+ 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);
}
- 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) {
@@ -260,28 +287,29 @@ int main(void)
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;
}
-
diff --git a/dep.pl b/dep.pl
index 22266e3..c39e27e 100644
--- a/dep.pl
+++ b/dep.pl
@@ -13,6 +13,8 @@ print CLASS "#if !(defined(LTM1) && defined(LTM2) && defined(LTM3))\n#if defined
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/\./_/;
diff --git a/etc/tune.c b/etc/tune.c
index 14aace2..d054d10 100644
--- a/etc/tune.c
+++ b/etc/tune.c
@@ -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 LBL_T;
-void t_start(void) { LBL_T = clock(); }
-ulong64 t_read(void) { return clock() - LBL_T; }
+void t_start(void) { LBL_T = TIMFUNC(); }
+ulong64 t_read(void) { return TIMFUNC() - LBL_T; }
#else
extern void t_start(void);
diff --git a/logs/add.log b/logs/add.log
index fa11039..43503ac 100644
--- a/logs/add.log
+++ b/logs/add.log
@@ -1,10 +1,10 @@
-480 88
-960 113
-1440 138
-1920 163
-2400 202
-2880 226
-3360 251
+480 87
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3840 272
4320 296
4800 320
diff --git a/logs/expt.log b/logs/expt.log
index e65e927..920ba55 100644
--- a/logs/expt.log
+++ b/logs/expt.log
@@ -1,7 +1,7 @@
-513 1499509
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diff --git a/logs/expt_2k.log b/logs/expt_2k.log
index d106280..56b50db 100644
--- a/logs/expt_2k.log
+++ b/logs/expt_2k.log
@@ -1,6 +1,5 @@
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diff --git a/logs/expt_2kl.log b/logs/expt_2kl.log
new file mode 100644
index 0000000..b2eb8c2
--- /dev/null
+++ b/logs/expt_2kl.log
@@ -0,0 +1,4 @@
+1024 6954080
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+521 1683720
diff --git a/logs/expt_dr.log b/logs/expt_dr.log
index 6cfc874..eb93fc9 100644
--- a/logs/expt_dr.log
+++ b/logs/expt_dr.log
@@ -1,7 +1,7 @@
-532 1803110
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diff --git a/logs/mult.log b/logs/mult.log
index 864de46..33563fc 100644
--- a/logs/mult.log
+++ b/logs/mult.log
@@ -1,143 +1,84 @@
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diff --git a/logs/mult_kara.log b/logs/mult_kara.log
index 086feaf..7136c79 100644
--- a/logs/mult_kara.log
+++ b/logs/mult_kara.log
@@ -1,33 +1,84 @@
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diff --git a/logs/sqr.log b/logs/sqr.log
index 0898342..cd29fc5 100644
--- a/logs/sqr.log
+++ b/logs/sqr.log
@@ -1,143 +1,84 @@
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diff --git a/logs/sqr_kara.log b/logs/sqr_kara.log
index cafe458..06355a7 100644
--- a/logs/sqr_kara.log
+++ b/logs/sqr_kara.log
@@ -1,33 +1,84 @@
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diff --git a/logs/sub.log b/logs/sub.log
index a42d91e..9f84fa2 100644
--- a/logs/sub.log
+++ b/logs/sub.log
@@ -1,16 +1,16 @@
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diff --git a/makefile b/makefile
index 164a0ab..ad8a71a 100644
--- a/makefile
+++ b/makefile
@@ -3,7 +3,7 @@
#Tom St Denis
#version of library
-VERSION=0.33
+VERSION=0.34
CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare
@@ -57,11 +57,13 @@ bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \
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)
diff --git a/makefile.bcc b/makefile.bcc
index 775e9ff..647c69a 100644
--- a/makefile.bcc
+++ b/makefile.bcc
@@ -27,11 +27,13 @@ bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \
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
diff --git a/makefile.cygwin_dll b/makefile.cygwin_dll
index c90e5d9..85b10c7 100644
--- a/makefile.cygwin_dll
+++ b/makefile.cygwin_dll
@@ -32,11 +32,13 @@ bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \
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)
diff --git a/makefile.icc b/makefile.icc
index 3775b20..e764253 100644
--- a/makefile.icc
+++ b/makefile.icc
@@ -59,11 +59,13 @@ bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \
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)
diff --git a/makefile.msvc b/makefile.msvc
index cf59943..dbbf9f3 100644
--- a/makefile.msvc
+++ b/makefile.msvc
@@ -26,11 +26,13 @@ bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \
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)
diff --git a/makefile.shared b/makefile.shared
index 86a3786..23aa33d 100644
--- a/makefile.shared
+++ b/makefile.shared
@@ -1,7 +1,7 @@
#Makefile for GCC
#
#Tom St Denis
-VERSION=0:33
+VERSION=0:34
CC = libtool --mode=compile gcc
CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare
@@ -53,11 +53,14 @@ bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \
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)
diff --git a/poster.pdf b/poster.pdf
index e0b4f84..7354b4f 100644
Binary files a/poster.pdf and b/poster.pdf differ
diff --git a/pre_gen/mpi.c b/pre_gen/mpi.c
index 7d832e7..f2341a5 100644
--- a/pre_gen/mpi.c
+++ b/pre_gen/mpi.c
@@ -69,8 +69,7 @@ char *mp_error_to_string(int code)
* 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;
@@ -220,8 +219,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL);
*
* 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 @@ fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho)
* 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];
@@ -451,7 +448,7 @@ fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
}
/* store final carry */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* setup dest */
olduse = c->used;
@@ -504,8 +501,7 @@ fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
*
* 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];
@@ -552,7 +548,7 @@ fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
}
/* store final carry */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* setup dest */
olduse = c->used;
@@ -683,7 +679,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b)
}
/* store it */
- W[ix] = _W;
+ W[ix] = _W & MP_MASK;
/* make next carry */
W1 = _W >> ((mp_word)DIGIT_BIT);
@@ -2467,21 +2463,29 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
#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);
@@ -2489,7 +2493,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
#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;
@@ -2535,8 +2539,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
#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;
@@ -4989,8 +4992,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c)
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) {
@@ -5847,7 +5851,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback
/* 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) {
@@ -5855,7 +5859,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback
}
/* get the maskOR_lsb */
- maskOR_lsb = 0;
+ maskOR_lsb = 1;
if (flags & LTM_PRIME_BBS) {
maskOR_lsb |= 3;
}
@@ -6080,7 +6084,7 @@ mp_rand (mp_int * a, int digits)
*/
/* 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;
@@ -6263,8 +6267,7 @@ mp_read_unsigned_bin (mp_int * a, unsigned char *b, int c)
* 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;
@@ -6361,8 +6364,7 @@ CLEANUP:
*/
/* 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;
@@ -6404,6 +6406,68 @@ ERR:
/* 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, tomstdenis@iahu.ca, 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
@@ -6423,8 +6487,7 @@ ERR:
*/
/* 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;
@@ -6452,6 +6515,50 @@ mp_reduce_2k_setup(mp_int *a, mp_digit *d)
/* 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, tomstdenis@iahu.ca, 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
@@ -6477,9 +6584,9 @@ int mp_reduce_is_2k(mp_int *a)
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;
@@ -6488,7 +6595,7 @@ int mp_reduce_is_2k(mp_int *a)
/* 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) {
@@ -6497,13 +6604,57 @@ int mp_reduce_is_2k(mp_int *a)
}
}
}
- 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, tomstdenis@iahu.ca, 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
@@ -7138,8 +7289,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d)
*/
/* 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;
@@ -7153,6 +7303,37 @@ mp_to_signed_bin (mp_int * a, unsigned char *b)
/* 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, tomstdenis@iahu.ca, 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
@@ -7172,8 +7353,7 @@ mp_to_signed_bin (mp_int * a, unsigned char *b)
*/
/* 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;
@@ -7202,6 +7382,37 @@ mp_to_unsigned_bin (mp_int * a, unsigned char *b)
/* 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, tomstdenis@iahu.ca, 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
@@ -7894,8 +8105,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen)
*/
/* 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));
@@ -8218,11 +8428,12 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c)
#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);
@@ -8269,9 +8480,18 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_init (&mu)) != MP_OKAY) {
goto LBL_M;
}
- if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) {
- goto LBL_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
*
@@ -8293,11 +8513,14 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
}
for (x = 0; x < (winsize - 1); x++) {
+ /* square it */
if ((err = mp_sqr (&M[1 << (winsize - 1)],
&M[1 << (winsize - 1)])) != MP_OKAY) {
goto LBL_MU;
}
- if ((err = mp_reduce (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) {
+
+ /* reduce modulo P */
+ if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) {
goto LBL_MU;
}
}
@@ -8309,7 +8532,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) {
goto LBL_MU;
}
- if ((err = mp_reduce (&M[x], P, &mu)) != MP_OKAY) {
+ if ((err = redux (&M[x], P, &mu)) != MP_OKAY) {
goto LBL_MU;
}
}
@@ -8358,7 +8581,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
continue;
@@ -8375,7 +8598,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
}
@@ -8384,7 +8607,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
@@ -8402,7 +8625,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_sqr (&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
@@ -8412,7 +8635,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) {
goto LBL_RES;
}
- if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) {
+ if ((err = redux (&res, P, &mu)) != MP_OKAY) {
goto LBL_RES;
}
}
@@ -8803,11 +9026,12 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c)
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;
diff --git a/tommath.h b/tommath.h
index 7cc92c2..bcb9d86 100644
--- a/tommath.h
+++ b/tommath.h
@@ -429,6 +429,15 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d);
/* 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);
@@ -511,12 +520,14 @@ int mp_count_bits(mp_int *a);
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 fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c);
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;
diff --git a/tommath.pdf b/tommath.pdf
index 88e2dc7..310bbbd 100644
Binary files a/tommath.pdf and b/tommath.pdf differ
diff --git a/tommath.src b/tommath.src
index 6ee842d..11bc1f6 100644
--- a/tommath.src
+++ b/tommath.src
@@ -66,7 +66,7 @@ QUALCOMM Australia \\
}
}
\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 v0.34 release of the
LibTomMath project.
\begin{alltt}
diff --git a/tommath.tex b/tommath.tex
index 9c4dc82..66b33ab 100644
--- a/tommath.tex
+++ b/tommath.tex
@@ -66,7 +66,7 @@ QUALCOMM Australia \\
}
}
\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 v0.34 release of the
LibTomMath project.
\begin{alltt}
@@ -3877,88 +3877,87 @@ and addition operations in the nested loop in parallel.
030 * Based on Algorithm 14.12 on pp.595 of HAC.
031 *
032 */
-033 int
-034 fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
-035 \{
-036 int olduse, res, pa, ix, iz;
-037 mp_digit W[MP_WARRAY];
-038 register mp_word _W;
-039
-040 /* grow the destination as required */
-041 if (c->alloc < digs) \{
-042 if ((res = mp_grow (c, digs)) != MP_OKAY) \{
-043 return res;
-044 \}
-045 \}
-046
-047 /* number of output digits to produce */
-048 pa = MIN(digs, a->used + b->used);
-049
-050 /* clear the carry */
-051 _W = 0;
-052 for (ix = 0; ix < pa; ix++) \{
-053 int tx, ty;
-054 int iy;
-055 mp_digit *tmpx, *tmpy;
-056
-057 /* get offsets into the two bignums */
-058 ty = MIN(b->used-1, ix);
-059 tx = ix - ty;
-060
-061 /* setup temp aliases */
-062 tmpx = a->dp + tx;
-063 tmpy = b->dp + ty;
-064
-065 /* this is the number of times the loop will iterrate, essentially its
+033 int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
+034 \{
+035 int olduse, res, pa, ix, iz;
+036 mp_digit W[MP_WARRAY];
+037 register mp_word _W;
+038
+039 /* grow the destination as required */
+040 if (c->alloc < digs) \{
+041 if ((res = mp_grow (c, digs)) != MP_OKAY) \{
+042 return res;
+043 \}
+044 \}
+045
+046 /* number of output digits to produce */
+047 pa = MIN(digs, a->used + b->used);
+048
+049 /* clear the carry */
+050 _W = 0;
+051 for (ix = 0; ix < pa; ix++) \{
+052 int tx, ty;
+053 int iy;
+054 mp_digit *tmpx, *tmpy;
+055
+056 /* get offsets into the two bignums */
+057 ty = MIN(b->used-1, ix);
+058 tx = ix - ty;
+059
+060 /* setup temp aliases */
+061 tmpx = a->dp + tx;
+062 tmpy = b->dp + ty;
+063
+064 /* this is the number of times the loop will iterrate, essentially its
-066 while (tx++ < a->used && ty-- >= 0) \{ ... \}
-067 */
-068 iy = MIN(a->used-tx, ty+1);
-069
-070 /* execute loop */
-071 for (iz = 0; iz < iy; ++iz) \{
-072 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--);
-073 \}
-074
-075 /* store term */
-076 W[ix] = ((mp_digit)_W) & MP_MASK;
-077
-078 /* make next carry */
-079 _W = _W >> ((mp_word)DIGIT_BIT);
-080 \}
-081
-082 /* store final carry */
-083 W[ix] = _W;
-084
-085 /* setup dest */
-086 olduse = c->used;
-087 c->used = digs;
-088
-089 \{
-090 register mp_digit *tmpc;
-091 tmpc = c->dp;
-092 for (ix = 0; ix < digs; ix++) \{
-093 /* now extract the previous digit [below the carry] */
-094 *tmpc++ = W[ix];
-095 \}
-096
-097 /* clear unused digits [that existed in the old copy of c] */
-098 for (; ix < olduse; ix++) \{
-099 *tmpc++ = 0;
-100 \}
-101 \}
-102 mp_clamp (c);
-103 return MP_OKAY;
-104 \}
-105 #endif
+065 while (tx++ < a->used && ty-- >= 0) \{ ... \}
+066 */
+067 iy = MIN(a->used-tx, ty+1);
+068
+069 /* execute loop */
+070 for (iz = 0; iz < iy; ++iz) \{
+071 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--);
+072 \}
+073
+074 /* store term */
+075 W[ix] = ((mp_digit)_W) & MP_MASK;
+076
+077 /* make next carry */
+078 _W = _W >> ((mp_word)DIGIT_BIT);
+079 \}
+080
+081 /* store final carry */
+082 W[ix] = _W & MP_MASK;
+083
+084 /* setup dest */
+085 olduse = c->used;
+086 c->used = digs;
+087
+088 \{
+089 register mp_digit *tmpc;
+090 tmpc = c->dp;
+091 for (ix = 0; ix < digs; ix++) \{
+092 /* now extract the previous digit [below the carry] */
+093 *tmpc++ = W[ix];
+094 \}
+095
+096 /* clear unused digits [that existed in the old copy of c] */
+097 for (; ix < olduse; ix++) \{
+098 *tmpc++ = 0;
+099 \}
+100 \}
+101 mp_clamp (c);
+102 return MP_OKAY;
+103 \}
+104 #endif
\end{alltt}
\end{small}
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 62, 63 and 76}) are used to simplify the inner $O(n^2)$ loop.
+implementation a series of aliases (\textit{lines 61, 62 and 75}) 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 92, 79 and 80 is where the algorithm will spend the majority of the time, which is why it has been
+The inner loop on lines 91, 78 and 79 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
@@ -5145,7 +5144,7 @@ squares in place.
100 \}
101
102 /* store it */
-103 W[ix] = _W;
+103 W[ix] = _W & MP_MASK;
104
105 /* make next carry */
106 W1 = _W >> ((mp_word)DIGIT_BIT);
@@ -5730,88 +5729,87 @@ performed at most twice, and on average once. However, if $a \ge b^2$ than it wi
018 * precomputed via mp_reduce_setup.
019 * From HAC pp.604 Algorithm 14.42
020 */
-021 int
-022 mp_reduce (mp_int * x, mp_int * m, mp_int * mu)
-023 \{
-024 mp_int q;
-025 int res, um = m->used;
-026
-027 /* q = x */
-028 if ((res = mp_init_copy (&q, x)) != MP_OKAY) \{
-029 return res;
-030 \}
-031
-032 /* q1 = x / b**(k-1) */
-033 mp_rshd (&q, um - 1);
-034
-035 /* according to HAC this optimization is ok */
-036 if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) \{
-037 if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) \{
-038 goto CLEANUP;
-039 \}
-040 \} else \{
-041 #ifdef BN_S_MP_MUL_HIGH_DIGS_C
-042 if ((res = s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) \{
-043 goto CLEANUP;
-044 \}
-045 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C)
-046 if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) \{
-047 goto CLEANUP;
-048 \}
-049 #else
-050 \{
-051 res = MP_VAL;
-052 goto CLEANUP;
-053 \}
-054 #endif
-055 \}
-056
-057 /* q3 = q2 / b**(k+1) */
-058 mp_rshd (&q, um + 1);
-059
-060 /* x = x mod b**(k+1), quick (no division) */
-061 if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) \{
-062 goto CLEANUP;
-063 \}
-064
-065 /* q = q * m mod b**(k+1), quick (no division) */
-066 if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) \{
-067 goto CLEANUP;
-068 \}
-069
-070 /* x = x - q */
-071 if ((res = mp_sub (x, &q, x)) != MP_OKAY) \{
-072 goto CLEANUP;
-073 \}
-074
-075 /* If x < 0, add b**(k+1) to it */
-076 if (mp_cmp_d (x, 0) == MP_LT) \{
-077 mp_set (&q, 1);
-078 if ((res = mp_lshd (&q, um + 1)) != MP_OKAY)
-079 goto CLEANUP;
-080 if ((res = mp_add (x, &q, x)) != MP_OKAY)
-081 goto CLEANUP;
-082 \}
-083
-084 /* Back off if it's too big */
-085 while (mp_cmp (x, m) != MP_LT) \{
-086 if ((res = s_mp_sub (x, m, x)) != MP_OKAY) \{
-087 goto CLEANUP;
-088 \}
-089 \}
-090
-091 CLEANUP:
-092 mp_clear (&q);
-093
-094 return res;
-095 \}
-096 #endif
+021 int mp_reduce (mp_int * x, mp_int * m, mp_int * mu)
+022 \{
+023 mp_int q;
+024 int res, um = m->used;
+025
+026 /* q = x */
+027 if ((res = mp_init_copy (&q, x)) != MP_OKAY) \{
+028 return res;
+029 \}
+030
+031 /* q1 = x / b**(k-1) */
+032 mp_rshd (&q, um - 1);
+033
+034 /* according to HAC this optimization is ok */
+035 if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) \{
+036 if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) \{
+037 goto CLEANUP;
+038 \}
+039 \} else \{
+040 #ifdef BN_S_MP_MUL_HIGH_DIGS_C
+041 if ((res = s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) \{
+042 goto CLEANUP;
+043 \}
+044 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C)
+045 if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um - 1)) != MP_OKAY) \{
+046 goto CLEANUP;
+047 \}
+048 #else
+049 \{
+050 res = MP_VAL;
+051 goto CLEANUP;
+052 \}
+053 #endif
+054 \}
+055
+056 /* q3 = q2 / b**(k+1) */
+057 mp_rshd (&q, um + 1);
+058
+059 /* x = x mod b**(k+1), quick (no division) */
+060 if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) \{
+061 goto CLEANUP;
+062 \}
+063
+064 /* q = q * m mod b**(k+1), quick (no division) */
+065 if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) \{
+066 goto CLEANUP;
+067 \}
+068
+069 /* x = x - q */
+070 if ((res = mp_sub (x, &q, x)) != MP_OKAY) \{
+071 goto CLEANUP;
+072 \}
+073
+074 /* If x < 0, add b**(k+1) to it */
+075 if (mp_cmp_d (x, 0) == MP_LT) \{
+076 mp_set (&q, 1);
+077 if ((res = mp_lshd (&q, um + 1)) != MP_OKAY)
+078 goto CLEANUP;
+079 if ((res = mp_add (x, &q, x)) != MP_OKAY)
+080 goto CLEANUP;
+081 \}
+082
+083 /* Back off if it's too big */
+084 while (mp_cmp (x, m) != MP_LT) \{
+085 if ((res = s_mp_sub (x, m, x)) != MP_OKAY) \{
+086 goto CLEANUP;
+087 \}
+088 \}
+089
+090 CLEANUP:
+091 mp_clear (&q);
+092
+093 return res;
+094 \}
+095 #endif
\end{alltt}
\end{small}
The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves
the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits
-in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is
+in the modulus. In the source code this is evaluated on lines 36 to 43 where algorithm s\_mp\_mul\_high\_digs is used when it is
safe to do so.
\subsection{The Barrett Setup Algorithm}
@@ -6314,161 +6312,160 @@ stored in the destination $x$.
022 *
023 * Based on Algorithm 14.32 on pp.601 of HAC.
024 */
-025 int
-026 fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho)
-027 \{
-028 int ix, res, olduse;
-029 mp_word W[MP_WARRAY];
-030
-031 /* get old used count */
-032 olduse = x->used;
-033
-034 /* grow a as required */
-035 if (x->alloc < n->used + 1) \{
-036 if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) \{
-037 return res;
-038 \}
-039 \}
-040
-041 /* first we have to get the digits of the input into
-042 * an array of double precision words W[...]
-043 */
-044 \{
-045 register mp_word *_W;
-046 register mp_digit *tmpx;
-047
-048 /* alias for the W[] array */
-049 _W = W;
-050
-051 /* alias for the digits of x*/
-052 tmpx = x->dp;
-053
-054 /* copy the digits of a into W[0..a->used-1] */
-055 for (ix = 0; ix < x->used; ix++) \{
-056 *_W++ = *tmpx++;
-057 \}
-058
-059 /* zero the high words of W[a->used..m->used*2] */
-060 for (; ix < n->used * 2 + 1; ix++) \{
-061 *_W++ = 0;
-062 \}
-063 \}
-064
-065 /* now we proceed to zero successive digits
-066 * from the least significant upwards
-067 */
-068 for (ix = 0; ix < n->used; ix++) \{
-069 /* mu = ai * m' mod b
-070 *
-071 * We avoid a double precision multiplication (which isn't required)
-072 * by casting the value down to a mp_digit. Note this requires
-073 * that W[ix-1] have the carry cleared (see after the inner loop)
-074 */
-075 register mp_digit mu;
-076 mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK);
-077
-078 /* a = a + mu * m * b**i
-079 *
-080 * This is computed in place and on the fly. The multiplication
-081 * by b**i is handled by offseting which columns the results
-082 * are added to.
-083 *
-084 * Note the comba method normally doesn't handle carries in the
-085 * inner loop In this case we fix the carry from the previous
-086 * column since the Montgomery reduction requires digits of the
-087 * result (so far) [see above] to work. This is
-088 * handled by fixing up one carry after the inner loop. The
-089 * carry fixups are done in order so after these loops the
-090 * first m->used words of W[] have the carries fixed
-091 */
-092 \{
-093 register int iy;
-094 register mp_digit *tmpn;
-095 register mp_word *_W;
-096
-097 /* alias for the digits of the modulus */
-098 tmpn = n->dp;
-099
-100 /* Alias for the columns set by an offset of ix */
-101 _W = W + ix;
-102
-103 /* inner loop */
-104 for (iy = 0; iy < n->used; iy++) \{
-105 *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++);
-106 \}
-107 \}
-108
-109 /* now fix carry for next digit, W[ix+1] */
-110 W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT);
-111 \}
-112
-113 /* now we have to propagate the carries and
-114 * shift the words downward [all those least
-115 * significant digits we zeroed].
-116 */
-117 \{
-118 register mp_digit *tmpx;
-119 register mp_word *_W, *_W1;
-120
-121 /* nox fix rest of carries */
-122
-123 /* alias for current word */
-124 _W1 = W + ix;
-125
-126 /* alias for next word, where the carry goes */
-127 _W = W + ++ix;
-128
-129 for (; ix <= n->used * 2 + 1; ix++) \{
-130 *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT);
-131 \}
-132
-133 /* copy out, A = A/b**n
-134 *
-135 * The result is A/b**n but instead of converting from an
-136 * array of mp_word to mp_digit than calling mp_rshd
-137 * we just copy them in the right order
-138 */
-139
-140 /* alias for destination word */
-141 tmpx = x->dp;
-142
-143 /* alias for shifted double precision result */
-144 _W = W + n->used;
-145
-146 for (ix = 0; ix < n->used + 1; ix++) \{
-147 *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK));
-148 \}
-149
-150 /* zero oldused digits, if the input a was larger than
-151 * m->used+1 we'll have to clear the digits
-152 */
-153 for (; ix < olduse; ix++) \{
-154 *tmpx++ = 0;
-155 \}
-156 \}
-157
-158 /* set the max used and clamp */
-159 x->used = n->used + 1;
-160 mp_clamp (x);
-161
-162 /* if A >= m then A = A - m */
-163 if (mp_cmp_mag (x, n) != MP_LT) \{
-164 return s_mp_sub (x, n, x);
-165 \}
-166 return MP_OKAY;
-167 \}
-168 #endif
+025 int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho)
+026 \{
+027 int ix, res, olduse;
+028 mp_word W[MP_WARRAY];
+029
+030 /* get old used count */
+031 olduse = x->used;
+032
+033 /* grow a as required */
+034 if (x->alloc < n->used + 1) \{
+035 if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) \{
+036 return res;
+037 \}
+038 \}
+039
+040 /* first we have to get the digits of the input into
+041 * an array of double precision words W[...]
+042 */
+043 \{
+044 register mp_word *_W;
+045 register mp_digit *tmpx;
+046
+047 /* alias for the W[] array */
+048 _W = W;
+049
+050 /* alias for the digits of x*/
+051 tmpx = x->dp;
+052
+053 /* copy the digits of a into W[0..a->used-1] */
+054 for (ix = 0; ix < x->used; ix++) \{
+055 *_W++ = *tmpx++;
+056 \}
+057
+058 /* zero the high words of W[a->used..m->used*2] */
+059 for (; ix < n->used * 2 + 1; ix++) \{
+060 *_W++ = 0;
+061 \}
+062 \}
+063
+064 /* now we proceed to zero successive digits
+065 * from the least significant upwards
+066 */
+067 for (ix = 0; ix < n->used; ix++) \{
+068 /* mu = ai * m' mod b
+069 *
+070 * We avoid a double precision multiplication (which isn't required)
+071 * by casting the value down to a mp_digit. Note this requires
+072 * that W[ix-1] have the carry cleared (see after the inner loop)
+073 */
+074 register mp_digit mu;
+075 mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK);
+076
+077 /* a = a + mu * m * b**i
+078 *
+079 * This is computed in place and on the fly. The multiplication
+080 * by b**i is handled by offseting which columns the results
+081 * are added to.
+082 *
+083 * Note the comba method normally doesn't handle carries in the
+084 * inner loop In this case we fix the carry from the previous
+085 * column since the Montgomery reduction requires digits of the
+086 * result (so far) [see above] to work. This is
+087 * handled by fixing up one carry after the inner loop. The
+088 * carry fixups are done in order so after these loops the
+089 * first m->used words of W[] have the carries fixed
+090 */
+091 \{
+092 register int iy;
+093 register mp_digit *tmpn;
+094 register mp_word *_W;
+095
+096 /* alias for the digits of the modulus */
+097 tmpn = n->dp;
+098
+099 /* Alias for the columns set by an offset of ix */
+100 _W = W + ix;
+101
+102 /* inner loop */
+103 for (iy = 0; iy < n->used; iy++) \{
+104 *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++);
+105 \}
+106 \}
+107
+108 /* now fix carry for next digit, W[ix+1] */
+109 W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT);
+110 \}
+111
+112 /* now we have to propagate the carries and
+113 * shift the words downward [all those least
+114 * significant digits we zeroed].
+115 */
+116 \{
+117 register mp_digit *tmpx;
+118 register mp_word *_W, *_W1;
+119
+120 /* nox fix rest of carries */
+121
+122 /* alias for current word */
+123 _W1 = W + ix;
+124
+125 /* alias for next word, where the carry goes */
+126 _W = W + ++ix;
+127
+128 for (; ix <= n->used * 2 + 1; ix++) \{
+129 *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT);
+130 \}
+131
+132 /* copy out, A = A/b**n
+133 *
+134 * The result is A/b**n but instead of converting from an
+135 * array of mp_word to mp_digit than calling mp_rshd
+136 * we just copy them in the right order
+137 */
+138
+139 /* alias for destination word */
+140 tmpx = x->dp;
+141
+142 /* alias for shifted double precision result */
+143 _W = W + n->used;
+144
+145 for (ix = 0; ix < n->used + 1; ix++) \{
+146 *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK));
+147 \}
+148
+149 /* zero oldused digits, if the input a was larger than
+150 * m->used+1 we'll have to clear the digits
+151 */
+152 for (; ix < olduse; ix++) \{
+153 *tmpx++ = 0;
+154 \}
+155 \}
+156
+157 /* set the max used and clamp */
+158 x->used = n->used + 1;
+159 mp_clamp (x);
+160
+161 /* if A >= m then A = A - m */
+162 if (mp_cmp_mag (x, n) != MP_LT) \{
+163 return s_mp_sub (x, n, x);
+164 \}
+165 return MP_OKAY;
+166 \}
+167 #endif
\end{alltt}
\end{small}
-The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share
+The $\hat W$ array is first filled with digits of $x$ on line 50 then the rest of the digits are zeroed on line 54. Both loops share
the same alias variables to make the code easier to read.
The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This
-forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry
+forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 109 fixes the carry
for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$.
-The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns
+The for loop on line 108 propagates the rest of the carries upwards through the columns. The for loop on line 125 reduces the columns
modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th
digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$.
@@ -6968,51 +6965,50 @@ shift which makes the algorithm fairly inexpensive to use.
\begin{alltt}
016
017 /* reduces a modulo n where n is of the form 2**p - d */
-018 int
-019 mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d)
-020 \{
-021 mp_int q;
-022 int p, res;
-023
-024 if ((res = mp_init(&q)) != MP_OKAY) \{
-025 return res;
-026 \}
-027
-028 p = mp_count_bits(n);
-029 top:
-030 /* q = a/2**p, a = a mod 2**p */
-031 if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) \{
-032 goto ERR;
-033 \}
-034
-035 if (d != 1) \{
-036 /* q = q * d */
-037 if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) \{
-038 goto ERR;
-039 \}
-040 \}
-041
-042 /* a = a + q */
-043 if ((res = s_mp_add(a, &q, a)) != MP_OKAY) \{
-044 goto ERR;
-045 \}
-046
-047 if (mp_cmp_mag(a, n) != MP_LT) \{
-048 s_mp_sub(a, n, a);
-049 goto top;
-050 \}
-051
-052 ERR:
-053 mp_clear(&q);
-054 return res;
-055 \}
-056
-057 #endif
+018 int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d)
+019 \{
+020 mp_int q;
+021 int p, res;
+022
+023 if ((res = mp_init(&q)) != MP_OKAY) \{
+024 return res;
+025 \}
+026
+027 p = mp_count_bits(n);
+028 top:
+029 /* q = a/2**p, a = a mod 2**p */
+030 if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) \{
+031 goto ERR;
+032 \}
+033
+034 if (d != 1) \{
+035 /* q = q * d */
+036 if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) \{
+037 goto ERR;
+038 \}
+039 \}
+040
+041 /* a = a + q */
+042 if ((res = s_mp_add(a, &q, a)) != MP_OKAY) \{
+043 goto ERR;
+044 \}
+045
+046 if (mp_cmp_mag(a, n) != MP_LT) \{
+047 s_mp_sub(a, n, a);
+048 goto top;
+049 \}
+050
+051 ERR:
+052 mp_clear(&q);
+053 return res;
+054 \}
+055
+056 #endif
\end{alltt}
\end{small}
The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d
-on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size
+on line 30 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size
is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without
any multiplications.
@@ -7052,32 +7048,31 @@ is sufficient to solve for $k$. Alternatively if $n$ has more than one digit th
\begin{alltt}
016
017 /* determines the setup value */
-018 int
-019 mp_reduce_2k_setup(mp_int *a, mp_digit *d)
-020 \{
-021 int res, p;
-022 mp_int tmp;
-023
-024 if ((res = mp_init(&tmp)) != MP_OKAY) \{
-025 return res;
-026 \}
-027
-028 p = mp_count_bits(a);
-029 if ((res = mp_2expt(&tmp, p)) != MP_OKAY) \{
-030 mp_clear(&tmp);
-031 return res;
-032 \}
-033
-034 if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) \{
-035 mp_clear(&tmp);
-036 return res;
-037 \}
-038
-039 *d = tmp.dp[0];
-040 mp_clear(&tmp);
-041 return MP_OKAY;
-042 \}
-043 #endif
+018 int mp_reduce_2k_setup(mp_int *a, mp_digit *d)
+019 \{
+020 int res, p;
+021 mp_int tmp;
+022
+023 if ((res = mp_init(&tmp)) != MP_OKAY) \{
+024 return res;
+025 \}
+026
+027 p = mp_count_bits(a);
+028 if ((res = mp_2expt(&tmp, p)) != MP_OKAY) \{
+029 mp_clear(&tmp);
+030 return res;
+031 \}
+032
+033 if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) \{
+034 mp_clear(&tmp);
+035 return res;
+036 \}
+037
+038 *d = tmp.dp[0];
+039 mp_clear(&tmp);
+040 return MP_OKAY;
+041 \}
+042 #endif
\end{alltt}
\end{small}
@@ -7130,9 +7125,9 @@ This algorithm quickly determines if a modulus is of the form required for algor
021 mp_digit iz;
022
023 if (a->used == 0) \{
-024 return 0;
+024 return MP_NO;
025 \} else if (a->used == 1) \{
-026 return 1;
+026 return MP_YES;
027 \} else if (a->used > 1) \{
028 iy = mp_count_bits(a);
029 iz = 1;
@@ -7141,7 +7136,7 @@ This algorithm quickly determines if a modulus is of the form required for algor
032 /* Test every bit from the second digit up, must be 1 */
033 for (ix = DIGIT_BIT; ix < iy; ix++) \{
034 if ((a->dp[iw] & iz) == 0) \{
-035 return 0;
+035 return MP_NO;
036 \}
037 iz <<= 1;
038 if (iz > (mp_digit)MP_MASK) \{
@@ -7150,7 +7145,7 @@ This algorithm quickly determines if a modulus is of the form required for algor
041 \}
042 \}
043 \}
-044 return 1;
+044 return MP_YES;
045 \}
046
047 #endif
@@ -7601,39 +7596,47 @@ algorithm since their arguments are essentially the same (\textit{two mp\_ints a
064 #endif
065 \}
066
-067 #ifdef BN_MP_DR_IS_MODULUS_C
-068 /* is it a DR modulus? */
-069 dr = mp_dr_is_modulus(P);
-070 #else
-071 dr = 0;
+067 /* modified diminished radix reduction */
+068 #if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C)
+069 if (mp_reduce_is_2k_l(P) == MP_YES) \{
+070 return s_mp_exptmod(G, X, P, Y, 1);
+071 \}
072 #endif
073
-074 #ifdef BN_MP_REDUCE_IS_2K_C
-075 /* if not, is it a uDR modulus? */
-076 if (dr == 0) \{
-077 dr = mp_reduce_is_2k(P) << 1;
-078 \}
-079 #endif
-080
-081 /* if the modulus is odd or dr != 0 use the fast method */
-082 #ifdef BN_MP_EXPTMOD_FAST_C
-083 if (mp_isodd (P) == 1 || dr != 0) \{
-084 return mp_exptmod_fast (G, X, P, Y, dr);
-085 \} else \{
-086 #endif
-087 #ifdef BN_S_MP_EXPTMOD_C
-088 /* otherwise use the generic Barrett reduction technique */
-089 return s_mp_exptmod (G, X, P, Y);
-090 #else
-091 /* no exptmod for evens */
-092 return MP_VAL;
-093 #endif
-094 #ifdef BN_MP_EXPTMOD_FAST_C
-095 \}
-096 #endif
-097 \}
-098
-099 #endif
+074 #ifdef BN_MP_DR_IS_MODULUS_C
+075 /* is it a DR modulus? */
+076 dr = mp_dr_is_modulus(P);
+077 #else
+078 /* default to no */
+079 dr = 0;
+080 #endif
+081
+082 #ifdef BN_MP_REDUCE_IS_2K_C
+083 /* if not, is it a unrestricted DR modulus? */
+084 if (dr == 0) \{
+085 dr = mp_reduce_is_2k(P) << 1;
+086 \}
+087 #endif
+088
+089 /* if the modulus is odd or dr != 0 use the montgomery method */
+090 #ifdef BN_MP_EXPTMOD_FAST_C
+091 if (mp_isodd (P) == 1 || dr != 0) \{
+092 return mp_exptmod_fast (G, X, P, Y, dr);
+093 \} else \{
+094 #endif
+095 #ifdef BN_S_MP_EXPTMOD_C
+096 /* otherwise use the generic Barrett reduction technique */
+097 return s_mp_exptmod (G, X, P, Y, 0);
+098 #else
+099 /* no exptmod for evens */
+100 return MP_VAL;
+101 #endif
+102 #ifdef BN_MP_EXPTMOD_FAST_C
+103 \}
+104 #endif
+105 \}
+106
+107 #endif
\end{alltt}
\end{small}
@@ -7642,8 +7645,8 @@ negative the algorithm tries to perform a modular exponentiation with the modula
the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive
exponent.
-If the exponent is positive the algorithm resumes the exponentiation. Line 69 determines if the modulus is of the restricted Diminished Radix
-form. If it is not line 77 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one
+If the exponent is positive the algorithm resumes the exponentiation. Line 76 determines if the modulus is of the restricted Diminished Radix
+form. If it is not line 69 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one
of three values.
\begin{enumerate}
@@ -7652,7 +7655,7 @@ of three values.
\item $dr = 2$ means that the modulus is of unrestricted Diminished Radix form.
\end{enumerate}
-Line 67 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise,
+Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise,
the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction.
\subsection{Barrett Modular Exponentiation}
@@ -7820,230 +7823,244 @@ a Left-to-Right algorithm is used to process the remaining few bits.
020 #define TAB_SIZE 256
021 #endif
022
-023 int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y)
+023 int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmod
+ e)
024 \{
025 mp_int M[TAB_SIZE], res, mu;
026 mp_digit buf;
027 int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize;
-028
-029 /* find window size */
-030 x = mp_count_bits (X);
-031 if (x <= 7) \{
-032 winsize = 2;
-033 \} else if (x <= 36) \{
-034 winsize = 3;
-035 \} else if (x <= 140) \{
-036 winsize = 4;
-037 \} else if (x <= 450) \{
-038 winsize = 5;
-039 \} else if (x <= 1303) \{
-040 winsize = 6;
-041 \} else if (x <= 3529) \{
-042 winsize = 7;
-043 \} else \{
-044 winsize = 8;
-045 \}
-046
-047 #ifdef MP_LOW_MEM
-048 if (winsize > 5) \{
-049 winsize = 5;
-050 \}
-051 #endif
-052
-053 /* init M array */
-054 /* init first cell */
-055 if ((err = mp_init(&M[1])) != MP_OKAY) \{
-056 return err;
-057 \}
-058
-059 /* now init the second half of the array */
-060 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{
-061 if ((err = mp_init(&M[x])) != MP_OKAY) \{
-062 for (y = 1<<(winsize-1); y < x; y++) \{
-063 mp_clear (&M[y]);
-064 \}
-065 mp_clear(&M[1]);
-066 return err;
-067 \}
-068 \}
-069
-070 /* create mu, used for Barrett reduction */
-071 if ((err = mp_init (&mu)) != MP_OKAY) \{
-072 goto LBL_M;
-073 \}
-074 if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) \{
-075 goto LBL_MU;
-076 \}
-077
-078 /* create M table
-079 *
-080 * The M table contains powers of the base,
-081 * e.g. M[x] = G**x mod P
-082 *
-083 * The first half of the table is not
-084 * computed though accept for M[0] and M[1]
-085 */
-086 if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) \{
-087 goto LBL_MU;
-088 \}
-089
-090 /* compute the value at M[1<<(winsize-1)] by squaring
-091 * M[1] (winsize-1) times
-092 */
-093 if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) \{
-094 goto LBL_MU;
-095 \}
-096
-097 for (x = 0; x < (winsize - 1); x++) \{
-098 if ((err = mp_sqr (&M[1 << (winsize - 1)],
-099 &M[1 << (winsize - 1)])) != MP_OKAY) \{
-100 goto LBL_MU;
-101 \}
-102 if ((err = mp_reduce (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) \{
-103 goto LBL_MU;
-104 \}
+028 int (*redux)(mp_int*,mp_int*,mp_int*);
+029
+030 /* find window size */
+031 x = mp_count_bits (X);
+032 if (x <= 7) \{
+033 winsize = 2;
+034 \} else if (x <= 36) \{
+035 winsize = 3;
+036 \} else if (x <= 140) \{
+037 winsize = 4;
+038 \} else if (x <= 450) \{
+039 winsize = 5;
+040 \} else if (x <= 1303) \{
+041 winsize = 6;
+042 \} else if (x <= 3529) \{
+043 winsize = 7;
+044 \} else \{
+045 winsize = 8;
+046 \}
+047
+048 #ifdef MP_LOW_MEM
+049 if (winsize > 5) \{
+050 winsize = 5;
+051 \}
+052 #endif
+053
+054 /* init M array */
+055 /* init first cell */
+056 if ((err = mp_init(&M[1])) != MP_OKAY) \{
+057 return err;
+058 \}
+059
+060 /* now init the second half of the array */
+061 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{
+062 if ((err = mp_init(&M[x])) != MP_OKAY) \{
+063 for (y = 1<<(winsize-1); y < x; y++) \{
+064 mp_clear (&M[y]);
+065 \}
+066 mp_clear(&M[1]);
+067 return err;
+068 \}
+069 \}
+070
+071 /* create mu, used for Barrett reduction */
+072 if ((err = mp_init (&mu)) != MP_OKAY) \{
+073 goto LBL_M;
+074 \}
+075
+076 if (redmode == 0) \{
+077 if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) \{
+078 goto LBL_MU;
+079 \}
+080 redux = mp_reduce;
+081 \} else \{
+082 if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) \{
+083 goto LBL_MU;
+084 \}
+085 redux = mp_reduce_2k_l;
+086 \}
+087
+088 /* create M table
+089 *
+090 * The M table contains powers of the base,
+091 * e.g. M[x] = G**x mod P
+092 *
+093 * The first half of the table is not
+094 * computed though accept for M[0] and M[1]
+095 */
+096 if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) \{
+097 goto LBL_MU;
+098 \}
+099
+100 /* compute the value at M[1<<(winsize-1)] by squaring
+101 * M[1] (winsize-1) times
+102 */
+103 if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) \{
+104 goto LBL_MU;
105 \}
106
-107 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P)
-108 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1)
-109 */
-110 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) \{
-111 if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) \{
-112 goto LBL_MU;
-113 \}
-114 if ((err = mp_reduce (&M[x], P, &mu)) != MP_OKAY) \{
-115 goto LBL_MU;
-116 \}
-117 \}
-118
-119 /* setup result */
-120 if ((err = mp_init (&res)) != MP_OKAY) \{
-121 goto LBL_MU;
-122 \}
-123 mp_set (&res, 1);
-124
-125 /* set initial mode and bit cnt */
-126 mode = 0;
-127 bitcnt = 1;
-128 buf = 0;
-129 digidx = X->used - 1;
-130 bitcpy = 0;
-131 bitbuf = 0;
-132
-133 for (;;) \{
-134 /* grab next digit as required */
-135 if (--bitcnt == 0) \{
-136 /* if digidx == -1 we are out of digits */
-137 if (digidx == -1) \{
-138 break;
-139 \}
-140 /* read next digit and reset the bitcnt */
-141 buf = X->dp[digidx--];
-142 bitcnt = (int) DIGIT_BIT;
-143 \}
-144
-145 /* grab the next msb from the exponent */
-146 y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1;
-147 buf <<= (mp_digit)1;
-148
-149 /* if the bit is zero and mode == 0 then we ignore it
-150 * These represent the leading zero bits before the first 1 bit
-151 * in the exponent. Technically this opt is not required but it
-152 * does lower the # of trivial squaring/reductions used
-153 */
-154 if (mode == 0 && y == 0) \{
-155 continue;
+107 for (x = 0; x < (winsize - 1); x++) \{
+108 /* square it */
+109 if ((err = mp_sqr (&M[1 << (winsize - 1)],
+110 &M[1 << (winsize - 1)])) != MP_OKAY) \{
+111 goto LBL_MU;
+112 \}
+113
+114 /* reduce modulo P */
+115 if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) \{
+116 goto LBL_MU;
+117 \}
+118 \}
+119
+120 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P)
+121 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1)
+122 */
+123 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) \{
+124 if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) \{
+125 goto LBL_MU;
+126 \}
+127 if ((err = redux (&M[x], P, &mu)) != MP_OKAY) \{
+128 goto LBL_MU;
+129 \}
+130 \}
+131
+132 /* setup result */
+133 if ((err = mp_init (&res)) != MP_OKAY) \{
+134 goto LBL_MU;
+135 \}
+136 mp_set (&res, 1);
+137
+138 /* set initial mode and bit cnt */
+139 mode = 0;
+140 bitcnt = 1;
+141 buf = 0;
+142 digidx = X->used - 1;
+143 bitcpy = 0;
+144 bitbuf = 0;
+145
+146 for (;;) \{
+147 /* grab next digit as required */
+148 if (--bitcnt == 0) \{
+149 /* if digidx == -1 we are out of digits */
+150 if (digidx == -1) \{
+151 break;
+152 \}
+153 /* read next digit and reset the bitcnt */
+154 buf = X->dp[digidx--];
+155 bitcnt = (int) DIGIT_BIT;
156 \}
157
-158 /* if the bit is zero and mode == 1 then we square */
-159 if (mode == 1 && y == 0) \{
-160 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
-161 goto LBL_RES;
-162 \}
-163 if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) \{
-164 goto LBL_RES;
-165 \}
-166 continue;
-167 \}
-168
-169 /* else we add it to the window */
-170 bitbuf |= (y << (winsize - ++bitcpy));
-171 mode = 2;
-172
-173 if (bitcpy == winsize) \{
-174 /* ok window is filled so square as required and multiply */
-175 /* square first */
-176 for (x = 0; x < winsize; x++) \{
-177 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
-178 goto LBL_RES;
-179 \}
-180 if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) \{
-181 goto LBL_RES;
-182 \}
-183 \}
-184
-185 /* then multiply */
-186 if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) \{
-187 goto LBL_RES;
-188 \}
-189 if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) \{
-190 goto LBL_RES;
-191 \}
-192
-193 /* empty window and reset */
-194 bitcpy = 0;
-195 bitbuf = 0;
-196 mode = 1;
-197 \}
-198 \}
-199
-200 /* if bits remain then square/multiply */
-201 if (mode == 2 && bitcpy > 0) \{
-202 /* square then multiply if the bit is set */
-203 for (x = 0; x < bitcpy; x++) \{
-204 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
-205 goto LBL_RES;
-206 \}
-207 if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) \{
-208 goto LBL_RES;
-209 \}
-210
-211 bitbuf <<= 1;
-212 if ((bitbuf & (1 << winsize)) != 0) \{
-213 /* then multiply */
-214 if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) \{
-215 goto LBL_RES;
-216 \}
-217 if ((err = mp_reduce (&res, P, &mu)) != MP_OKAY) \{
-218 goto LBL_RES;
-219 \}
-220 \}
-221 \}
-222 \}
+158 /* grab the next msb from the exponent */
+159 y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1;
+160 buf <<= (mp_digit)1;
+161
+162 /* if the bit is zero and mode == 0 then we ignore it
+163 * These represent the leading zero bits before the first 1 bit
+164 * in the exponent. Technically this opt is not required but it
+165 * does lower the # of trivial squaring/reductions used
+166 */
+167 if (mode == 0 && y == 0) \{
+168 continue;
+169 \}
+170
+171 /* if the bit is zero and mode == 1 then we square */
+172 if (mode == 1 && y == 0) \{
+173 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
+174 goto LBL_RES;
+175 \}
+176 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{
+177 goto LBL_RES;
+178 \}
+179 continue;
+180 \}
+181
+182 /* else we add it to the window */
+183 bitbuf |= (y << (winsize - ++bitcpy));
+184 mode = 2;
+185
+186 if (bitcpy == winsize) \{
+187 /* ok window is filled so square as required and multiply */
+188 /* square first */
+189 for (x = 0; x < winsize; x++) \{
+190 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
+191 goto LBL_RES;
+192 \}
+193 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{
+194 goto LBL_RES;
+195 \}
+196 \}
+197
+198 /* then multiply */
+199 if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) \{
+200 goto LBL_RES;
+201 \}
+202 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{
+203 goto LBL_RES;
+204 \}
+205
+206 /* empty window and reset */
+207 bitcpy = 0;
+208 bitbuf = 0;
+209 mode = 1;
+210 \}
+211 \}
+212
+213 /* if bits remain then square/multiply */
+214 if (mode == 2 && bitcpy > 0) \{
+215 /* square then multiply if the bit is set */
+216 for (x = 0; x < bitcpy; x++) \{
+217 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{
+218 goto LBL_RES;
+219 \}
+220 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{
+221 goto LBL_RES;
+222 \}
223
-224 mp_exch (&res, Y);
-225 err = MP_OKAY;
-226 LBL_RES:mp_clear (&res);
-227 LBL_MU:mp_clear (&mu);
-228 LBL_M:
-229 mp_clear(&M[1]);
-230 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{
-231 mp_clear (&M[x]);
-232 \}
-233 return err;
-234 \}
-235 #endif
+224 bitbuf <<= 1;
+225 if ((bitbuf & (1 << winsize)) != 0) \{
+226 /* then multiply */
+227 if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) \{
+228 goto LBL_RES;
+229 \}
+230 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{
+231 goto LBL_RES;
+232 \}
+233 \}
+234 \}
+235 \}
+236
+237 mp_exch (&res, Y);
+238 err = MP_OKAY;
+239 LBL_RES:mp_clear (&res);
+240 LBL_MU:mp_clear (&mu);
+241 LBL_M:
+242 mp_clear(&M[1]);
+243 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{
+244 mp_clear (&M[x]);
+245 \}
+246 return err;
+247 \}
+248 #endif
\end{alltt}
\end{small}
-Lines 31 through 41 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted
+Lines 21 through 40 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted
from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement
-on line 33 the value of $x$ is already known to be greater than $140$.
+on line 32 the value of $x$ is already known to be greater than $140$.
-The conditional piece of code beginning on line 47 allows the window size to be restricted to five bits. This logic is used to ensure
+The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure
the table of precomputed powers of $G$ remains relatively small.
-The for loop on line 60 initializes the $M$ array while lines 61 and 74 compute the value of $\mu$ required for
+The for loop on line 61 initializes the $M$ array while lines 62 and 77 compute the value of $\mu$ required for
Barrett reduction.
-- More later.
@@ -8873,21 +8890,22 @@ Unlike the full multiplication algorithms this algorithm does not require any si
056 u = (mp_digit) (r >> ((mp_word) DIGIT_BIT));
057 \}
058
-059 /* store final carry [if any] */
+059 /* store final carry [if any] and increment ix offset */
060 *tmpc++ = u;
-061
-062 /* now zero digits above the top */
-063 while (ix++ < olduse) \{
-064 *tmpc++ = 0;
-065 \}
-066
-067 /* set used count */
-068 c->used = a->used + 1;
-069 mp_clamp(c);
-070
-071 return MP_OKAY;
-072 \}
-073 #endif
+061 ++ix;
+062
+063 /* now zero digits above the top */
+064 while (ix++ < olduse) \{
+065 *tmpc++ = 0;
+066 \}
+067
+068 /* set used count */
+069 c->used = a->used + 1;
+070 mp_clamp(c);
+071
+072 return MP_OKAY;
+073 \}
+074 #endif
\end{alltt}
\end{small}
@@ -9379,7 +9397,7 @@ as part of larger input without any significant problem.
\begin{alltt}
016
017 /* read a string [ASCII] in a given radix */
-018 int mp_read_radix (mp_int * a, char *str, int radix)
+018 int mp_read_radix (mp_int * a, const char *str, int radix)
019 \{
020 int y, res, neg;
021 char ch;
diff --git a/tommath_class.h b/tommath_class.h
index 53bfa31..0ea8212 100644
--- a/tommath_class.h
+++ b/tommath_class.h
@@ -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
@@ -324,11 +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)
@@ -725,6 +731,17 @@
#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
@@ -733,11 +750,22 @@
#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
@@ -815,6 +843,11 @@
#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
@@ -822,6 +855,11 @@
#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
@@ -902,10 +940,12 @@
#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