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added libtommath-0.41

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Tom St Denis 2007-04-18 09:58:18 +00:00 committed by Steffen Jaeckel
parent 3aba4eacc6
commit 333aebc894
129 changed files with 939 additions and 4536 deletions
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bn.pdf
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bn.tex
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@ -49,7 +49,7 @@
\begin{document} \begin{document}
\frontmatter \frontmatter
\pagestyle{empty} \pagestyle{empty}
\title{LibTomMath User Manual \\ v0.40} \title{LibTomMath User Manual \\ v0.41}
\author{Tom St Denis \\ tomstdenis@gmail.com} \author{Tom St Denis \\ tomstdenis@gmail.com}
\maketitle \maketitle
This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been

2
bn_error.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
static const struct { static const struct {

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bn_fast_mp_invmod.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes the modular inverse via binary extended euclidean algorithm, /* computes the modular inverse via binary extended euclidean algorithm,

2
bn_fast_mp_montgomery_reduce.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes xR**-1 == x (mod N) via Montgomery Reduction /* computes xR**-1 == x (mod N) via Montgomery Reduction

2
bn_fast_s_mp_mul_digs.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Fast (comba) multiplier /* Fast (comba) multiplier

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bn_fast_s_mp_mul_high_digs.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* this is a modified version of fast_s_mul_digs that only produces /* this is a modified version of fast_s_mul_digs that only produces

2
bn_fast_s_mp_sqr.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* the jist of squaring... /* the jist of squaring...

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bn_mp_2expt.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes a = 2**b /* computes a = 2**b

2
bn_mp_abs.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* b = |a| /* b = |a|

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bn_mp_add.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* high level addition (handles signs) */ /* high level addition (handles signs) */

2
bn_mp_add_d.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* single digit addition */ /* single digit addition */

2
bn_mp_addmod.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* d = a + b (mod c) */ /* d = a + b (mod c) */

2
bn_mp_and.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* AND two ints together */ /* AND two ints together */

2
bn_mp_clamp.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* trim unused digits /* trim unused digits

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bn_mp_clear.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* clear one (frees) */ /* clear one (frees) */

2
bn_mp_clear_multi.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
#include <stdarg.h> #include <stdarg.h>

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bn_mp_cmp.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* compare two ints (signed)*/ /* compare two ints (signed)*/

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bn_mp_cmp_d.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* compare a digit */ /* compare a digit */

2
bn_mp_cmp_mag.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* compare maginitude of two ints (unsigned) */ /* compare maginitude of two ints (unsigned) */

2
bn_mp_cnt_lsb.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
static const int lnz[16] = { static const int lnz[16] = {

2
bn_mp_copy.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* copy, b = a */ /* copy, b = a */

2
bn_mp_count_bits.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* returns the number of bits in an int */ /* returns the number of bits in an int */

2
bn_mp_div.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
#ifdef BN_MP_DIV_SMALL #ifdef BN_MP_DIV_SMALL

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bn_mp_div_2.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* b = a/2 */ /* b = a/2 */

2
bn_mp_div_2d.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */

2
bn_mp_div_3.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* divide by three (based on routine from MPI and the GMP manual) */ /* divide by three (based on routine from MPI and the GMP manual) */

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bn_mp_div_d.c
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@ -12,14 +12,19 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
static int s_is_power_of_two(mp_digit b, int *p) static int s_is_power_of_two(mp_digit b, int *p)
{ {
int x; int x;
for (x = 1; x < DIGIT_BIT; x++) { /* fast return if no power of two */
if ((b==0) || (b & (b-1))) {
return 0;
}
for (x = 0; x < DIGIT_BIT; x++) {
if (b == (((mp_digit)1)<<x)) { if (b == (((mp_digit)1)<<x)) {
*p = x; *p = x;
return 1; return 1;

2
bn_mp_dr_is_modulus.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines if a number is a valid DR modulus */ /* determines if a number is a valid DR modulus */

2
bn_mp_dr_reduce.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. /* reduce "x" in place modulo "n" using the Diminished Radix algorithm.

2
bn_mp_dr_setup.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines the setup value */ /* determines the setup value */

2
bn_mp_exch.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* swap the elements of two integers, for cases where you can't simply swap the /* swap the elements of two integers, for cases where you can't simply swap the

2
bn_mp_expt_d.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* calculate c = a**b using a square-multiply algorithm */ /* calculate c = a**b using a square-multiply algorithm */

2
bn_mp_exptmod.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */

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bn_mp_exptmod_fast.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85

2
bn_mp_exteuclid.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Extended euclidean algorithm of (a, b) produces /* Extended euclidean algorithm of (a, b) produces

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bn_mp_fread.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* read a bigint from a file stream in ASCII */ /* read a bigint from a file stream in ASCII */

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bn_mp_fwrite.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
int mp_fwrite(mp_int *a, int radix, FILE *stream) int mp_fwrite(mp_int *a, int radix, FILE *stream)

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bn_mp_gcd.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Greatest Common Divisor using the binary method */ /* Greatest Common Divisor using the binary method */

2
bn_mp_get_int.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* get the lower 32-bits of an mp_int */ /* get the lower 32-bits of an mp_int */

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bn_mp_grow.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* grow as required */ /* grow as required */

2
bn_mp_init.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* init a new mp_int */ /* init a new mp_int */

2
bn_mp_init_copy.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* creates "a" then copies b into it */ /* creates "a" then copies b into it */

2
bn_mp_init_multi.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
#include <stdarg.h> #include <stdarg.h>

2
bn_mp_init_set.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* initialize and set a digit */ /* initialize and set a digit */

2
bn_mp_init_set_int.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* initialize and set a digit */ /* initialize and set a digit */

2
bn_mp_init_size.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* init an mp_init for a given size */ /* init an mp_init for a given size */

2
bn_mp_invmod.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* hac 14.61, pp608 */ /* hac 14.61, pp608 */

2
bn_mp_invmod_slow.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* hac 14.61, pp608 */ /* hac 14.61, pp608 */

2
bn_mp_is_square.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Check if remainders are possible squares - fast exclude non-squares */ /* Check if remainders are possible squares - fast exclude non-squares */

2
bn_mp_jacobi.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes the jacobi c = (a | n) (or Legendre if n is prime) /* computes the jacobi c = (a | n) (or Legendre if n is prime)

2
bn_mp_karatsuba_mul.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* c = |a| * |b| using Karatsuba Multiplication using /* c = |a| * |b| using Karatsuba Multiplication using

2
bn_mp_karatsuba_sqr.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Karatsuba squaring, computes b = a*a using three /* Karatsuba squaring, computes b = a*a using three

2
bn_mp_lcm.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes least common multiple as |a*b|/(a, b) */ /* computes least common multiple as |a*b|/(a, b) */

2
bn_mp_lshd.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* shift left a certain amount of digits */ /* shift left a certain amount of digits */

2
bn_mp_mod.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* c = a mod b, 0 <= c < b */ /* c = a mod b, 0 <= c < b */

2
bn_mp_mod_2d.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* calc a value mod 2**b */ /* calc a value mod 2**b */

2
bn_mp_mod_d.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
int int

2
bn_mp_montgomery_calc_normalization.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* /*

2
bn_mp_montgomery_reduce.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes xR**-1 == x (mod N) via Montgomery Reduction */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */

2
bn_mp_montgomery_setup.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* setups the montgomery reduction stuff */ /* setups the montgomery reduction stuff */

2
bn_mp_mul.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* high level multiplication (handles sign) */ /* high level multiplication (handles sign) */

2
bn_mp_mul_2.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* b = a*2 */ /* b = a*2 */

2
bn_mp_mul_2d.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* shift left by a certain bit count */ /* shift left by a certain bit count */

2
bn_mp_mul_d.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* multiply by a digit */ /* multiply by a digit */

2
bn_mp_mulmod.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* d = a * b (mod c) */ /* d = a * b (mod c) */

2
bn_mp_n_root.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* find the n'th root of an integer /* find the n'th root of an integer

2
bn_mp_neg.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* b = -a */ /* b = -a */

2
bn_mp_or.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* OR two ints together */ /* OR two ints together */

2
bn_mp_prime_fermat.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* performs one Fermat test. /* performs one Fermat test.

2
bn_mp_prime_is_divisible.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines if an integers is divisible by one /* determines if an integers is divisible by one

2
bn_mp_prime_is_prime.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* performs a variable number of rounds of Miller-Rabin /* performs a variable number of rounds of Miller-Rabin

2
bn_mp_prime_miller_rabin.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* Miller-Rabin test of "a" to the base of "b" as described in /* Miller-Rabin test of "a" to the base of "b" as described in

2
bn_mp_prime_next_prime.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* finds the next prime after the number "a" using "t" trials /* finds the next prime after the number "a" using "t" trials

2
bn_mp_prime_rabin_miller_trials.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */

2
bn_mp_prime_random_ex.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* makes a truly random prime of a given size (bits), /* makes a truly random prime of a given size (bits),

2
bn_mp_radix_size.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* returns size of ASCII reprensentation */ /* returns size of ASCII reprensentation */

2
bn_mp_radix_smap.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* chars used in radix conversions */ /* chars used in radix conversions */

2
bn_mp_rand.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* makes a pseudo-random int of a given size */ /* makes a pseudo-random int of a given size */

2
bn_mp_read_radix.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* read a string [ASCII] in a given radix */ /* read a string [ASCII] in a given radix */

2
bn_mp_read_signed_bin.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* read signed bin, big endian, first byte is 0==positive or 1==negative */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */

2
bn_mp_read_unsigned_bin.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* reads a unsigned char array, assumes the msb is stored first [big endian] */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */

2
bn_mp_reduce.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* reduces x mod m, assumes 0 < x < m**2, mu is /* reduces x mod m, assumes 0 < x < m**2, mu is

2
bn_mp_reduce_2k.c
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@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* reduces a modulo n where n is of the form 2**p - d */ /* reduces a modulo n where n is of the form 2**p - d */

2
bn_mp_reduce_2k_l.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* reduces a modulo n where n is of the form 2**p - d /* reduces a modulo n where n is of the form 2**p - d

2
bn_mp_reduce_2k_setup.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines the setup value */ /* determines the setup value */

2
bn_mp_reduce_2k_setup_l.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines the setup value */ /* determines the setup value */

2
bn_mp_reduce_is_2k.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines if mp_reduce_2k can be used */ /* determines if mp_reduce_2k can be used */

2
bn_mp_reduce_is_2k_l.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* determines if reduce_2k_l can be used */ /* determines if reduce_2k_l can be used */

2
bn_mp_reduce_setup.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* pre-calculate the value required for Barrett reduction /* pre-calculate the value required for Barrett reduction

2
bn_mp_rshd.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* shift right a certain amount of digits */ /* shift right a certain amount of digits */

2
bn_mp_set.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* set to a digit */ /* set to a digit */

2
bn_mp_set_int.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* set a 32-bit const */ /* set a 32-bit const */

2
bn_mp_shrink.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* shrink a bignum */ /* shrink a bignum */

2
bn_mp_signed_bin_size.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* get the size for an signed equivalent */ /* get the size for an signed equivalent */

2
bn_mp_sqr.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* computes b = a*a */ /* computes b = a*a */

2
bn_mp_sqrmod.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* c = a * a (mod b) */ /* c = a * a (mod b) */

2
bn_mp_sqrt.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* this function is less generic than mp_n_root, simpler and faster */ /* this function is less generic than mp_n_root, simpler and faster */

2
bn_mp_sub.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* high level subtraction (handles signs) */ /* high level subtraction (handles signs) */

2
bn_mp_sub_d.c
View File

@ -12,7 +12,7 @@
* The library is free for all purposes without any express * The library is free for all purposes without any express
* guarantee it works. * guarantee it works.
* *
* Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com * Tom St Denis, tomstdenis@gmail.com, http://libtom.org
*/ */
/* single digit subtraction */ /* single digit subtraction */

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