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26
third-party/libtommath-1.1.0/LICENSE vendored
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The LibTom license
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or
distribute this software, either in source code form or as a compiled
binary, for any purpose, commercial or non-commercial, and by any
means.
In jurisdictions that recognize copyright laws, the author or authors
of this software dedicate any and all copyright interest in the
software to the public domain. We make this dedication for the benefit
of the public at large and to the detriment of our heirs and
successors. We intend this dedication to be an overt act of
relinquishment in perpetuity of all present and future rights to this
software under copyright law.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.
For more information, please refer to <http://unlicense.org/>

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third-party/libtommath-1.1.0/README.md vendored
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# libtommath
This is the git repository for [LibTomMath](http://www.libtom.net/LibTomMath/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C.
## Build Status
master: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=master)](https://travis-ci.org/libtom/libtommath)
develop: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath)
API/ABI changes: [check here](https://abi-laboratory.pro/tracker/timeline/libtommath/)
## Summary
The `develop` branch contains the in-development version. Stable releases are tagged.
Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used.
The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, there are several other build targets, see the makefile for details. There are also makefiles for certain specific platforms.
## Testing
Tests are located in `demo/` and can be built in two flavors.
* `make test` creates a test binary that is intended to be run against `mtest`. `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./test`. `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm
* `make test_standalone` creates a stand-alone test binary that executes several test routines.

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third-party/libtommath-1.1.0/astylerc vendored
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# Artistic Style, see http://astyle.sourceforge.net/
# full documentation, see: http://astyle.sourceforge.net/astyle.html
#
# usage:
# astyle --options=astylerc *.[ch]
## Bracket Style Options
style=kr
## Tab Options
indent=spaces=3
## Bracket Modify Options
## Indentation Options
min-conditional-indent=0
## Padding Options
pad-header
unpad-paren
align-pointer=name
## Formatting Options
break-after-logical
max-code-length=120
convert-tabs
mode=c

44
third-party/libtommath-1.1.0/bn_error.c vendored
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#include "tommath_private.h"
#ifdef BN_ERROR_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.
*
* SPDX-License-Identifier: Unlicense
*/
static const struct {
int code;
const char *msg;
} msgs[] = {
{ MP_OKAY, "Successful" },
{ MP_MEM, "Out of heap" },
{ MP_VAL, "Value out of range" }
};
/* return a char * string for a given code */
const char *mp_error_to_string(int code)
{
size_t x;
/* scan the lookup table for the given message */
for (x = 0; x < (sizeof(msgs) / sizeof(msgs[0])); x++) {
if (msgs[x].code == code) {
return msgs[x].msg;
}
}
/* generic reply for invalid code */
return "Invalid error code";
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

160
third-party/libtommath-1.1.0/bn_fast_mp_invmod.c vendored
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#include "tommath_private.h"
#ifdef BN_FAST_MP_INVMOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes the modular inverse via binary extended euclidean algorithm,
* that is c = 1/a mod b
*
* 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(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int x, y, u, v, B, D;
int res, neg;
/* 2. [modified] b must be odd */
if (mp_iseven(b) == MP_YES) {
return MP_VAL;
}
/* init all our temps */
if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) {
return res;
}
/* x == modulus, y == value to invert */
if ((res = mp_copy(b, &x)) != MP_OKAY) {
goto LBL_ERR;
}
/* we need y = |a| */
if ((res = mp_mod(a, b, &y)) != MP_OKAY) {
goto LBL_ERR;
}
/* if one of x,y is zero return an error! */
if ((mp_iszero(&x) == MP_YES) || (mp_iszero(&y) == MP_YES)) {
res = MP_VAL;
goto LBL_ERR;
}
/* 3. u=x, v=y, A=1, B=0, C=0,D=1 */
if ((res = mp_copy(&x, &u)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_copy(&y, &v)) != MP_OKAY) {
goto LBL_ERR;
}
mp_set(&D, 1uL);
top:
/* 4. while u is even do */
while (mp_iseven(&u) == MP_YES) {
/* 4.1 u = u/2 */
if ((res = mp_div_2(&u, &u)) != MP_OKAY) {
goto LBL_ERR;
}
/* 4.2 if B is odd then */
if (mp_isodd(&B) == MP_YES) {
if ((res = mp_sub(&B, &x, &B)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* B = B/2 */
if ((res = mp_div_2(&B, &B)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* 5. while v is even do */
while (mp_iseven(&v) == MP_YES) {
/* 5.1 v = v/2 */
if ((res = mp_div_2(&v, &v)) != MP_OKAY) {
goto LBL_ERR;
}
/* 5.2 if D is odd then */
if (mp_isodd(&D) == MP_YES) {
/* D = (D-x)/2 */
if ((res = mp_sub(&D, &x, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* D = D/2 */
if ((res = mp_div_2(&D, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* 6. if u >= v then */
if (mp_cmp(&u, &v) != MP_LT) {
/* u = u - v, B = B - D */
if ((res = mp_sub(&u, &v, &u)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&B, &D, &B)) != MP_OKAY) {
goto LBL_ERR;
}
} else {
/* v - v - u, D = D - B */
if ((res = mp_sub(&v, &u, &v)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&D, &B, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* if not zero goto step 4 */
if (mp_iszero(&u) == MP_NO) {
goto top;
}
/* now a = C, b = D, gcd == g*v */
/* if v != 1 then there is no inverse */
if (mp_cmp_d(&v, 1uL) != MP_EQ) {
res = MP_VAL;
goto LBL_ERR;
}
/* b is now the inverse */
neg = a->sign;
while (D.sign == MP_NEG) {
if ((res = mp_add(&D, b, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* too big */
while (mp_cmp_mag(&D, b) != MP_LT) {
if ((res = mp_sub(&D, b, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
mp_exch(&D, c);
c->sign = neg;
res = MP_OKAY;
LBL_ERR:
mp_clear_multi(&x, &y, &u, &v, &B, &D, NULL);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

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third-party/libtommath-1.1.0/bn_fast_mp_montgomery_reduce.c vendored
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#include "tommath_private.h"
#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes xR**-1 == x (mod N) via Montgomery Reduction
*
* This is an optimized implementation of montgomery_reduce
* which uses the comba method to quickly calculate the columns of the
* reduction.
*
* Based on Algorithm 14.32 on pp.601 of HAC.
*/
int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
{
int ix, res, olduse;
mp_word W[MP_WARRAY];
if (x->used > (int)MP_WARRAY) {
return MP_VAL;
}
/* get old used count */
olduse = x->used;
/* grow a as required */
if (x->alloc < (n->used + 1)) {
if ((res = mp_grow(x, n->used + 1)) != MP_OKAY) {
return res;
}
}
/* first we have to get the digits of the input into
* an array of double precision words W[...]
*/
{
mp_word *_W;
mp_digit *tmpx;
/* alias for the W[] array */
_W = W;
/* alias for the digits of x*/
tmpx = x->dp;
/* copy the digits of a into W[0..a->used-1] */
for (ix = 0; ix < x->used; ix++) {
*_W++ = *tmpx++;
}
/* zero the high words of W[a->used..m->used*2] */
for (; ix < ((n->used * 2) + 1); ix++) {
*_W++ = 0;
}
}
/* now we proceed to zero successive digits
* from the least significant upwards
*/
for (ix = 0; ix < n->used; ix++) {
/* mu = ai * m' mod b
*
* We avoid a double precision multiplication (which isn't required)
* by casting the value down to a mp_digit. Note this requires
* that W[ix-1] have the carry cleared (see after the inner loop)
*/
mp_digit mu;
mu = ((W[ix] & MP_MASK) * rho) & MP_MASK;
/* a = a + mu * m * b**i
*
* This is computed in place and on the fly. The multiplication
* by b**i is handled by offseting which columns the results
* are added to.
*
* Note the comba method normally doesn't handle carries in the
* inner loop In this case we fix the carry from the previous
* column since the Montgomery reduction requires digits of the
* result (so far) [see above] to work. This is
* handled by fixing up one carry after the inner loop. The
* carry fixups are done in order so after these loops the
* first m->used words of W[] have the carries fixed
*/
{
int iy;
mp_digit *tmpn;
mp_word *_W;
/* alias for the digits of the modulus */
tmpn = n->dp;
/* Alias for the columns set by an offset of ix */
_W = W + ix;
/* inner loop */
for (iy = 0; iy < n->used; iy++) {
*_W++ += (mp_word)mu * (mp_word)*tmpn++;
}
}
/* now fix carry for next digit, W[ix+1] */
W[ix + 1] += W[ix] >> (mp_word)DIGIT_BIT;
}
/* now we have to propagate the carries and
* shift the words downward [all those least
* significant digits we zeroed].
*/
{
mp_digit *tmpx;
mp_word *_W, *_W1;
/* nox fix rest of carries */
/* alias for current word */
_W1 = W + ix;
/* alias for next word, where the carry goes */
_W = W + ++ix;
for (; ix <= ((n->used * 2) + 1); ix++) {
*_W++ += *_W1++ >> (mp_word)DIGIT_BIT;
}
/* copy out, A = A/b**n
*
* The result is A/b**n but instead of converting from an
* array of mp_word to mp_digit than calling mp_rshd
* we just copy them in the right order
*/
/* alias for destination word */
tmpx = x->dp;
/* alias for shifted double precision result */
_W = W + n->used;
for (ix = 0; ix < (n->used + 1); ix++) {
*tmpx++ = *_W++ & (mp_word)MP_MASK;
}
/* zero oldused digits, if the input a was larger than
* m->used+1 we'll have to clear the digits
*/
for (; ix < olduse; ix++) {
*tmpx++ = 0;
}
}
/* set the max used and clamp */
x->used = n->used + 1;
mp_clamp(x);
/* if A >= m then A = A - m */
if (mp_cmp_mag(x, n) != MP_LT) {
return s_mp_sub(x, n, x);
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

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third-party/libtommath-1.1.0/bn_fast_s_mp_mul_digs.c vendored
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#include "tommath_private.h"
#ifdef BN_FAST_S_MP_MUL_DIGS_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Fast (comba) multiplier
*
* This is the fast column-array [comba] multiplier. It is
* designed to compute the columns of the product first
* then handle the carries afterwards. This has the effect
* of making the nested loops that compute the columns very
* simple and schedulable on super-scalar processors.
*
* This has been modified to produce a variable number of
* digits of output so if say only a half-product is required
* you don't have to compute the upper half (a feature
* required for fast Barrett reduction).
*
* Based on Algorithm 14.12 on pp.595 of HAC.
*
*/
int fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
{
int olduse, res, pa, ix, iz;
mp_digit W[MP_WARRAY];
mp_word _W;
/* grow the destination as required */
if (c->alloc < digs) {
if ((res = mp_grow(c, digs)) != MP_OKAY) {
return res;
}
}
/* number of output digits to produce */
pa = MIN(digs, a->used + b->used);
/* clear the carry */
_W = 0;
for (ix = 0; ix < pa; ix++) {
int tx, ty;
int iy;
mp_digit *tmpx, *tmpy;
/* get offsets into the two bignums */
ty = MIN(b->used-1, ix);
tx = ix - ty;
/* setup temp aliases */
tmpx = a->dp + tx;
tmpy = b->dp + ty;
/* this is the number of times the loop will iterrate, essentially
while (tx++ < a->used && ty-- >= 0) { ... }
*/
iy = MIN(a->used-tx, ty+1);
/* execute loop */
for (iz = 0; iz < iy; ++iz) {
_W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
}
/* store term */
W[ix] = (mp_digit)_W & MP_MASK;
/* make next carry */
_W = _W >> (mp_word)DIGIT_BIT;
}
/* setup dest */
olduse = c->used;
c->used = pa;
{
mp_digit *tmpc;
tmpc = c->dp;
for (ix = 0; ix < pa; ix++) {
/* now extract the previous digit [below the carry] */
*tmpc++ = W[ix];
}
/* clear unused digits [that existed in the old copy of c] */
for (; ix < olduse; ix++) {
*tmpc++ = 0;
}
}
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

95
third-party/libtommath-1.1.0/bn_fast_s_mp_mul_high_digs.c vendored
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#include "tommath_private.h"
#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* this is a modified version of fast_s_mul_digs that only produces
* output digits *above* digs. See the comments for fast_s_mul_digs
* to see how it works.
*
* This is used in the Barrett reduction since for one of the multiplications
* only the higher digits were needed. This essentially halves the work.
*
* Based on Algorithm 14.12 on pp.595 of HAC.
*/
int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
{
int olduse, res, pa, ix, iz;
mp_digit W[MP_WARRAY];
mp_word _W;
/* grow the destination as required */
pa = a->used + b->used;
if (c->alloc < pa) {
if ((res = mp_grow(c, pa)) != MP_OKAY) {
return res;
}
}
/* number of output digits to produce */
pa = a->used + b->used;
_W = 0;
for (ix = digs; ix < pa; ix++) {
int tx, ty, iy;
mp_digit *tmpx, *tmpy;
/* get offsets into the two bignums */
ty = MIN(b->used-1, ix);
tx = ix - ty;
/* setup temp aliases */
tmpx = a->dp + tx;
tmpy = b->dp + ty;
/* this is the number of times the loop will iterrate, essentially its
while (tx++ < a->used && ty-- >= 0) { ... }
*/
iy = MIN(a->used-tx, ty+1);
/* execute loop */
for (iz = 0; iz < iy; iz++) {
_W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
}
/* store term */
W[ix] = (mp_digit)_W & MP_MASK;
/* make next carry */
_W = _W >> (mp_word)DIGIT_BIT;
}
/* setup dest */
olduse = c->used;
c->used = pa;
{
mp_digit *tmpc;
tmpc = c->dp + digs;
for (ix = digs; ix < pa; ix++) {
/* now extract the previous digit [below the carry] */
*tmpc++ = W[ix];
}
/* clear unused digits [that existed in the old copy of c] */
for (; ix < olduse; ix++) {
*tmpc++ = 0;
}
}
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

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third-party/libtommath-1.1.0/bn_fast_s_mp_sqr.c vendored
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#include "tommath_private.h"
#ifdef BN_FAST_S_MP_SQR_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* the jist of squaring...
* you do like mult except the offset of the tmpx [one that
* starts closer to zero] can't equal the offset of tmpy.
* So basically you set up iy like before then you min it with
* (ty-tx) so that it never happens. You double all those
* you add in the inner loop
After that loop you do the squares and add them in.
*/
int fast_s_mp_sqr(const mp_int *a, mp_int *b)
{
int olduse, res, pa, ix, iz;
mp_digit W[MP_WARRAY], *tmpx;
mp_word W1;
/* grow the destination as required */
pa = a->used + a->used;
if (b->alloc < pa) {
if ((res = mp_grow(b, pa)) != MP_OKAY) {
return res;
}
}
/* number of output digits to produce */
W1 = 0;
for (ix = 0; ix < pa; ix++) {
int tx, ty, iy;
mp_word _W;
mp_digit *tmpy;
/* clear counter */
_W = 0;
/* get offsets into the two bignums */
ty = MIN(a->used-1, ix);
tx = ix - ty;
/* setup temp aliases */
tmpx = a->dp + tx;
tmpy = a->dp + ty;
/* this is the number of times the loop will iterrate, essentially
while (tx++ < a->used && ty-- >= 0) { ... }
*/
iy = MIN(a->used-tx, ty+1);
/* now for squaring tx can never equal ty
* we halve the distance since they approach at a rate of 2x
* and we have to round because odd cases need to be executed
*/
iy = MIN(iy, ((ty-tx)+1)>>1);
/* execute loop */
for (iz = 0; iz < iy; iz++) {
_W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
}
/* double the inner product and add carry */
_W = _W + _W + W1;
/* even columns have the square term in them */
if (((unsigned)ix & 1u) == 0u) {
_W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1];
}
/* store it */
W[ix] = _W & MP_MASK;
/* make next carry */
W1 = _W >> (mp_word)DIGIT_BIT;
}
/* setup dest */
olduse = b->used;
b->used = a->used+a->used;
{
mp_digit *tmpb;
tmpb = b->dp;
for (ix = 0; ix < pa; ix++) {
*tmpb++ = W[ix] & MP_MASK;
}
/* clear unused digits [that existed in the old copy of c] */
for (; ix < olduse; ix++) {
*tmpb++ = 0;
}
}
mp_clamp(b);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

44
third-party/libtommath-1.1.0/bn_mp_2expt.c vendored
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#include "tommath_private.h"
#ifdef BN_MP_2EXPT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes a = 2**b
*
* Simple algorithm which zeroes the int, grows it then just sets one bit
* as required.
*/
int mp_2expt(mp_int *a, int b)
{
int res;
/* zero a as per default */
mp_zero(a);
/* grow a to accomodate the single bit */
if ((res = mp_grow(a, (b / DIGIT_BIT) + 1)) != MP_OKAY) {
return res;
}
/* set the used count of where the bit will go */
a->used = (b / DIGIT_BIT) + 1;
/* put the single bit in its place */
a->dp[b / DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % DIGIT_BIT);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

39
third-party/libtommath-1.1.0/bn_mp_abs.c vendored
View file

@ -1,39 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_ABS_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* b = |a|
*
* Simple function copies the input and fixes the sign to positive
*/
int mp_abs(const mp_int *a, mp_int *b)
{
int res;
/* copy a to b */
if (a != b) {
if ((res = mp_copy(a, b)) != MP_OKAY) {
return res;
}
}
/* force the sign of b to positive */
b->sign = MP_ZPOS;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

50
third-party/libtommath-1.1.0/bn_mp_add.c vendored
View file

@ -1,50 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_ADD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* high level addition (handles signs) */
int mp_add(const mp_int *a, const mp_int *b, mp_int *c)
{
int sa, sb, res;
/* get sign of both inputs */
sa = a->sign;
sb = b->sign;
/* handle two cases, not four */
if (sa == sb) {
/* both positive or both negative */
/* add their magnitudes, copy the sign */
c->sign = sa;
res = s_mp_add(a, b, c);
} else {
/* one positive, the other negative */
/* subtract the one with the greater magnitude from */
/* the one of the lesser magnitude. The result gets */
/* the sign of the one with the greater magnitude. */
if (mp_cmp_mag(a, b) == MP_LT) {
c->sign = sb;
res = s_mp_sub(b, a, c);
} else {
c->sign = sa;
res = s_mp_sub(a, b, c);
}
}
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

109
third-party/libtommath-1.1.0/bn_mp_add_d.c vendored
View file

@ -1,109 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_ADD_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* single digit addition */
int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
{
int res, ix, oldused;
mp_digit *tmpa, *tmpc, mu;
/* grow c as required */
if (c->alloc < (a->used + 1)) {
if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) {
return res;
}
}
/* if a is negative and |a| >= b, call c = |a| - b */
if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) {
mp_int a_ = *a;
/* temporarily fix sign of a */
a_.sign = MP_ZPOS;
/* c = |a| - b */
res = mp_sub_d(&a_, b, c);
/* fix sign */
c->sign = MP_NEG;
/* clamp */
mp_clamp(c);
return res;
}
/* old number of used digits in c */
oldused = c->used;
/* source alias */
tmpa = a->dp;
/* destination alias */
tmpc = c->dp;
/* if a is positive */
if (a->sign == MP_ZPOS) {
/* add digit, after this we're propagating
* the carry.
*/
*tmpc = *tmpa++ + b;
mu = *tmpc >> DIGIT_BIT;
*tmpc++ &= MP_MASK;
/* now handle rest of the digits */
for (ix = 1; ix < a->used; ix++) {
*tmpc = *tmpa++ + mu;
mu = *tmpc >> DIGIT_BIT;
*tmpc++ &= MP_MASK;
}
/* set final carry */
ix++;
*tmpc++ = mu;
/* setup size */
c->used = a->used + 1;
} else {
/* a was negative and |a| < b */
c->used = 1;
/* the result is a single digit */
if (a->used == 1) {
*tmpc++ = b - a->dp[0];
} else {
*tmpc++ = b;
}
/* setup count so the clearing of oldused
* can fall through correctly
*/
ix = 1;
}
/* sign always positive */
c->sign = MP_ZPOS;
/* now zero to oldused */
while (ix++ < oldused) {
*tmpc++ = 0;
}
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

37
third-party/libtommath-1.1.0/bn_mp_addmod.c vendored
View file

@ -1,37 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_ADDMOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* d = a + b (mod c) */
int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d)
{
int res;
mp_int t;
if ((res = mp_init(&t)) != MP_OKAY) {
return res;
}
if ((res = mp_add(a, b, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
}
res = mp_mod(&t, c, d);
mp_clear(&t);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

54
third-party/libtommath-1.1.0/bn_mp_and.c vendored
View file

@ -1,54 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_AND_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* AND two ints together */
int mp_and(const mp_int *a, const mp_int *b, mp_int *c)
{
int res, ix, px;
mp_int t;
const mp_int *x;
if (a->used > b->used) {
if ((res = mp_init_copy(&t, a)) != MP_OKAY) {
return res;
}
px = b->used;
x = b;
} else {
if ((res = mp_init_copy(&t, b)) != MP_OKAY) {
return res;
}
px = a->used;
x = a;
}
for (ix = 0; ix < px; ix++) {
t.dp[ix] &= x->dp[ix];
}
/* zero digits above the last from the smallest mp_int */
for (; ix < t.used; ix++) {
t.dp[ix] = 0;
}
mp_clamp(&t);
mp_exch(c, &t);
mp_clear(&t);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

40
third-party/libtommath-1.1.0/bn_mp_clamp.c vendored
View file

@ -1,40 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CLAMP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* trim unused digits
*
* This is used to ensure that leading zero digits are
* trimed and the leading "used" digit will be non-zero
* Typically very fast. Also fixes the sign if there
* are no more leading digits
*/
void mp_clamp(mp_int *a)
{
/* decrease used while the most significant digit is
* zero.
*/
while ((a->used > 0) && (a->dp[a->used - 1] == 0u)) {
--(a->used);
}
/* reset the sign flag if used == 0 */
if (a->used == 0) {
a->sign = MP_ZPOS;
}
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

40
third-party/libtommath-1.1.0/bn_mp_clear.c vendored
View file

@ -1,40 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CLEAR_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* clear one (frees) */
void mp_clear(mp_int *a)
{
int i;
/* only do anything if a hasn't been freed previously */
if (a->dp != NULL) {
/* first zero the digits */
for (i = 0; i < a->used; i++) {
a->dp[i] = 0;
}
/* free ram */
XFREE(a->dp);
/* reset members to make debugging easier */
a->dp = NULL;
a->alloc = a->used = 0;
a->sign = MP_ZPOS;
}
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

32
third-party/libtommath-1.1.0/bn_mp_clear_multi.c vendored
View file

@ -1,32 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CLEAR_MULTI_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.
*
* SPDX-License-Identifier: Unlicense
*/
#include <stdarg.h>
void mp_clear_multi(mp_int *mp, ...)
{
mp_int *next_mp = mp;
va_list args;
va_start(args, mp);
while (next_mp != NULL) {
mp_clear(next_mp);
next_mp = va_arg(args, mp_int *);
}
va_end(args);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

39
third-party/libtommath-1.1.0/bn_mp_cmp.c vendored
View file

@ -1,39 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CMP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* compare two ints (signed)*/
int mp_cmp(const mp_int *a, const mp_int *b)
{
/* compare based on sign */
if (a->sign != b->sign) {
if (a->sign == MP_NEG) {
return MP_LT;
} else {
return MP_GT;
}
}
/* compare digits */
if (a->sign == MP_NEG) {
/* if negative compare opposite direction */
return mp_cmp_mag(b, a);
} else {
return mp_cmp_mag(a, b);
}
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

41
third-party/libtommath-1.1.0/bn_mp_cmp_d.c vendored
View file

@ -1,41 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CMP_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* compare a digit */
int mp_cmp_d(const mp_int *a, mp_digit b)
{
/* compare based on sign */
if (a->sign == MP_NEG) {
return MP_LT;
}
/* compare based on magnitude */
if (a->used > 1) {
return MP_GT;
}
/* compare the only digit of a to b */
if (a->dp[0] > b) {
return MP_GT;
} else if (a->dp[0] < b) {
return MP_LT;
} else {
return MP_EQ;
}
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

52
third-party/libtommath-1.1.0/bn_mp_cmp_mag.c vendored
View file

@ -1,52 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CMP_MAG_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* compare maginitude of two ints (unsigned) */
int mp_cmp_mag(const mp_int *a, const mp_int *b)
{
int n;
mp_digit *tmpa, *tmpb;
/* compare based on # of non-zero digits */
if (a->used > b->used) {
return MP_GT;
}
if (a->used < b->used) {
return MP_LT;
}
/* alias for a */
tmpa = a->dp + (a->used - 1);
/* alias for b */
tmpb = b->dp + (a->used - 1);
/* compare based on digits */
for (n = 0; n < a->used; ++n, --tmpa, --tmpb) {
if (*tmpa > *tmpb) {
return MP_GT;
}
if (*tmpa < *tmpb) {
return MP_LT;
}
}
return MP_EQ;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

50
third-party/libtommath-1.1.0/bn_mp_cnt_lsb.c vendored
View file

@ -1,50 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_CNT_LSB_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.
*
* SPDX-License-Identifier: Unlicense
*/
static const int lnz[16] = {
4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0
};
/* Counts the number of lsbs which are zero before the first zero bit */
int mp_cnt_lsb(const mp_int *a)
{
int x;
mp_digit q, qq;
/* easy out */
if (mp_iszero(a) == MP_YES) {
return 0;
}
/* scan lower digits until non-zero */
for (x = 0; (x < a->used) && (a->dp[x] == 0u); x++) {}
q = a->dp[x];
x *= DIGIT_BIT;
/* now scan this digit until a 1 is found */
if ((q & 1u) == 0u) {
do {
qq = q & 15u;
x += lnz[qq];
q >>= 4;
} while (qq == 0u);
}
return x;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

25
third-party/libtommath-1.1.0/bn_mp_complement.c vendored
View file

@ -1,25 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_COMPLEMENT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* b = ~a */
int mp_complement(const mp_int *a, mp_int *b)
{
int res = mp_neg(a, b);
return (res == MP_OKAY) ? mp_sub_d(b, 1uL, b) : res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

64
third-party/libtommath-1.1.0/bn_mp_copy.c vendored
View file

@ -1,64 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_COPY_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* copy, b = a */
int mp_copy(const mp_int *a, mp_int *b)
{
int res, n;
/* if dst == src do nothing */
if (a == b) {
return MP_OKAY;
}
/* grow dest */
if (b->alloc < a->used) {
if ((res = mp_grow(b, a->used)) != MP_OKAY) {
return res;
}
}
/* zero b and copy the parameters over */
{
mp_digit *tmpa, *tmpb;
/* pointer aliases */
/* source */
tmpa = a->dp;
/* destination */
tmpb = b->dp;
/* copy all the digits */
for (n = 0; n < a->used; n++) {
*tmpb++ = *tmpa++;
}
/* clear high digits */
for (; n < b->used; n++) {
*tmpb++ = 0;
}
}
/* copy used count and sign */
b->used = a->used;
b->sign = a->sign;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

41
third-party/libtommath-1.1.0/bn_mp_count_bits.c vendored
View file

@ -1,41 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_COUNT_BITS_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* returns the number of bits in an int */
int mp_count_bits(const mp_int *a)
{
int r;
mp_digit q;
/* shortcut */
if (a->used == 0) {
return 0;
}
/* get number of digits and add that */
r = (a->used - 1) * DIGIT_BIT;
/* take the last digit and count the bits in it */
q = a->dp[a->used - 1];
while (q > (mp_digit)0) {
++r;
q >>= (mp_digit)1;
}
return r;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

297
third-party/libtommath-1.1.0/bn_mp_div.c vendored
View file

@ -1,297 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DIV_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.
*
* SPDX-License-Identifier: Unlicense
*/
#ifdef BN_MP_DIV_SMALL
/* slower bit-bang division... also smaller */
int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
{
mp_int ta, tb, tq, q;
int res, n, n2;
/* is divisor zero ? */
if (mp_iszero(b) == MP_YES) {
return MP_VAL;
}
/* if a < b then q=0, r = a */
if (mp_cmp_mag(a, b) == MP_LT) {
if (d != NULL) {
res = mp_copy(a, d);
} else {
res = MP_OKAY;
}
if (c != NULL) {
mp_zero(c);
}
return res;
}
/* init our temps */
if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) {
return res;
}
mp_set(&tq, 1uL);
n = mp_count_bits(a) - mp_count_bits(b);
if (((res = mp_abs(a, &ta)) != MP_OKAY) ||
((res = mp_abs(b, &tb)) != MP_OKAY) ||
((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) ||
((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) {
goto LBL_ERR;
}
while (n-- >= 0) {
if (mp_cmp(&tb, &ta) != MP_GT) {
if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) ||
((res = mp_add(&q, &tq, &q)) != MP_OKAY)) {
goto LBL_ERR;
}
}
if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) ||
((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) {
goto LBL_ERR;
}
}
/* now q == quotient and ta == remainder */
n = a->sign;
n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG;
if (c != NULL) {
mp_exch(c, &q);
c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2;
}
if (d != NULL) {
mp_exch(d, &ta);
d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n;
}
LBL_ERR:
mp_clear_multi(&ta, &tb, &tq, &q, NULL);
return res;
}
#else
/* integer signed division.
* c*b + d == a [e.g. a/b, c=quotient, d=remainder]
* HAC pp.598 Algorithm 14.20
*
* Note that the description in HAC is horribly
* incomplete. For example, it doesn't consider
* the case where digits are removed from 'x' in
* the inner loop. It also doesn't consider the
* case that y has fewer than three digits, etc..
*
* The overall algorithm is as described as
* 14.20 from HAC but fixed to treat these cases.
*/
int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
{
mp_int q, x, y, t1, t2;
int res, n, t, i, norm, neg;
/* is divisor zero ? */
if (mp_iszero(b) == MP_YES) {
return MP_VAL;
}
/* if a < b then q=0, r = a */
if (mp_cmp_mag(a, b) == MP_LT) {
if (d != NULL) {
res = mp_copy(a, d);
} else {
res = MP_OKAY;
}
if (c != NULL) {
mp_zero(c);
}
return res;
}
if ((res = mp_init_size(&q, a->used + 2)) != MP_OKAY) {
return res;
}
q.used = a->used + 2;
if ((res = mp_init(&t1)) != MP_OKAY) {
goto LBL_Q;
}
if ((res = mp_init(&t2)) != MP_OKAY) {
goto LBL_T1;
}
if ((res = mp_init_copy(&x, a)) != MP_OKAY) {
goto LBL_T2;
}
if ((res = mp_init_copy(&y, b)) != MP_OKAY) {
goto LBL_X;
}
/* fix the sign */
neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG;
x.sign = y.sign = MP_ZPOS;
/* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */
norm = mp_count_bits(&y) % DIGIT_BIT;
if (norm < (DIGIT_BIT - 1)) {
norm = (DIGIT_BIT - 1) - norm;
if ((res = mp_mul_2d(&x, norm, &x)) != MP_OKAY) {
goto LBL_Y;
}
if ((res = mp_mul_2d(&y, norm, &y)) != MP_OKAY) {
goto LBL_Y;
}
} else {
norm = 0;
}
/* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */
n = x.used - 1;
t = y.used - 1;
/* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */
if ((res = mp_lshd(&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */
goto LBL_Y;
}
while (mp_cmp(&x, &y) != MP_LT) {
++(q.dp[n - t]);
if ((res = mp_sub(&x, &y, &x)) != MP_OKAY) {
goto LBL_Y;
}
}
/* reset y by shifting it back down */
mp_rshd(&y, n - t);
/* step 3. for i from n down to (t + 1) */
for (i = n; i >= (t + 1); i--) {
if (i > x.used) {
continue;
}
/* step 3.1 if xi == yt then set q{i-t-1} to b-1,
* otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */
if (x.dp[i] == y.dp[t]) {
q.dp[(i - t) - 1] = ((mp_digit)1 << (mp_digit)DIGIT_BIT) - (mp_digit)1;
} else {
mp_word tmp;
tmp = (mp_word)x.dp[i] << (mp_word)DIGIT_BIT;
tmp |= (mp_word)x.dp[i - 1];
tmp /= (mp_word)y.dp[t];
if (tmp > (mp_word)MP_MASK) {
tmp = MP_MASK;
}
q.dp[(i - t) - 1] = (mp_digit)(tmp & (mp_word)MP_MASK);
}
/* while (q{i-t-1} * (yt * b + y{t-1})) >
xi * b**2 + xi-1 * b + xi-2
do q{i-t-1} -= 1;
*/
q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1uL) & (mp_digit)MP_MASK;
do {
q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & (mp_digit)MP_MASK;
/* find left hand */
mp_zero(&t1);
t1.dp[0] = ((t - 1) < 0) ? 0u : y.dp[t - 1];
t1.dp[1] = y.dp[t];
t1.used = 2;
if ((res = mp_mul_d(&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) {
goto LBL_Y;
}
/* find right hand */
t2.dp[0] = ((i - 2) < 0) ? 0u : x.dp[i - 2];
t2.dp[1] = ((i - 1) < 0) ? 0u : x.dp[i - 1];
t2.dp[2] = x.dp[i];
t2.used = 3;
} while (mp_cmp_mag(&t1, &t2) == MP_GT);
/* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */
if ((res = mp_mul_d(&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) {
goto LBL_Y;
}
if ((res = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) {
goto LBL_Y;
}
if ((res = mp_sub(&x, &t1, &x)) != MP_OKAY) {
goto LBL_Y;
}
/* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */
if (x.sign == MP_NEG) {
if ((res = mp_copy(&y, &t1)) != MP_OKAY) {
goto LBL_Y;
}
if ((res = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) {
goto LBL_Y;
}
if ((res = mp_add(&x, &t1, &x)) != MP_OKAY) {
goto LBL_Y;
}
q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & MP_MASK;
}
}
/* now q is the quotient and x is the remainder
* [which we have to normalize]
*/
/* get sign before writing to c */
x.sign = (x.used == 0) ? MP_ZPOS : a->sign;
if (c != NULL) {
mp_clamp(&q);
mp_exch(&q, c);
c->sign = neg;
}
if (d != NULL) {
if ((res = mp_div_2d(&x, norm, &x, NULL)) != MP_OKAY) {
goto LBL_Y;
}
mp_exch(&x, d);
}
res = MP_OKAY;
LBL_Y:
mp_clear(&y);
LBL_X:
mp_clear(&x);
LBL_T2:
mp_clear(&t2);
LBL_T1:
mp_clear(&t1);
LBL_Q:
mp_clear(&q);
return res;
}
#endif
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

65
third-party/libtommath-1.1.0/bn_mp_div_2.c vendored
View file

@ -1,65 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DIV_2_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* b = a/2 */
int mp_div_2(const mp_int *a, mp_int *b)
{
int x, res, oldused;
/* copy */
if (b->alloc < a->used) {
if ((res = mp_grow(b, a->used)) != MP_OKAY) {
return res;
}
}
oldused = b->used;
b->used = a->used;
{
mp_digit r, rr, *tmpa, *tmpb;
/* source alias */
tmpa = a->dp + b->used - 1;
/* dest alias */
tmpb = b->dp + b->used - 1;
/* carry */
r = 0;
for (x = b->used - 1; x >= 0; x--) {
/* get the carry for the next iteration */
rr = *tmpa & 1u;
/* shift the current digit, add in carry and store */
*tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1));
/* forward carry to next iteration */
r = rr;
}
/* zero excess digits */
tmpb = b->dp + b->used;
for (x = b->used; x < oldused; x++) {
*tmpb++ = 0;
}
}
b->sign = a->sign;
mp_clamp(b);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

83
third-party/libtommath-1.1.0/bn_mp_div_2d.c vendored
View file

@ -1,83 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DIV_2D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* shift right by a certain bit count (store quotient in c, optional remainder in d) */
int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d)
{
mp_digit D, r, rr;
int x, res;
/* if the shift count is <= 0 then we do no work */
if (b <= 0) {
res = mp_copy(a, c);
if (d != NULL) {
mp_zero(d);
}
return res;
}
/* copy */
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
}
/* 'a' should not be used after here - it might be the same as d */
/* get the remainder */
if (d != NULL) {
if ((res = mp_mod_2d(a, b, d)) != MP_OKAY) {
return res;
}
}
/* shift by as many digits in the bit count */
if (b >= DIGIT_BIT) {
mp_rshd(c, b / DIGIT_BIT);
}
/* shift any bit count < DIGIT_BIT */
D = (mp_digit)(b % DIGIT_BIT);
if (D != 0u) {
mp_digit *tmpc, mask, shift;
/* mask */
mask = ((mp_digit)1 << D) - 1uL;
/* shift for lsb */
shift = (mp_digit)DIGIT_BIT - D;
/* alias */
tmpc = c->dp + (c->used - 1);
/* carry */
r = 0;
for (x = c->used - 1; x >= 0; x--) {
/* get the lower bits of this word in a temp */
rr = *tmpc & mask;
/* shift the current word and mix in the carry bits from the previous word */
*tmpc = (*tmpc >> D) | (r << shift);
--tmpc;
/* set the carry to the carry bits of the current word found above */
r = rr;
}
}
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

75
third-party/libtommath-1.1.0/bn_mp_div_3.c vendored
View file

@ -1,75 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DIV_3_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* divide by three (based on routine from MPI and the GMP manual) */
int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d)
{
mp_int q;
mp_word w, t;
mp_digit b;
int res, ix;
/* b = 2**DIGIT_BIT / 3 */
b = ((mp_word)1 << (mp_word)DIGIT_BIT) / (mp_word)3;
if ((res = mp_init_size(&q, a->used)) != MP_OKAY) {
return res;
}
q.used = a->used;
q.sign = a->sign;
w = 0;
for (ix = a->used - 1; ix >= 0; ix--) {
w = (w << (mp_word)DIGIT_BIT) | (mp_word)a->dp[ix];
if (w >= 3u) {
/* multiply w by [1/3] */
t = (w * (mp_word)b) >> (mp_word)DIGIT_BIT;
/* now subtract 3 * [w/3] from w, to get the remainder */
w -= t+t+t;
/* fixup the remainder as required since
* the optimization is not exact.
*/
while (w >= 3u) {
t += 1u;
w -= 3u;
}
} else {
t = 0;
}
q.dp[ix] = (mp_digit)t;
}
/* [optional] store the remainder */
if (d != NULL) {
*d = (mp_digit)w;
}
/* [optional] store the quotient */
if (c != NULL) {
mp_clamp(&q);
mp_exch(&q, c);
}
mp_clear(&q);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

112
third-party/libtommath-1.1.0/bn_mp_div_d.c vendored
View file

@ -1,112 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DIV_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
static int s_is_power_of_two(mp_digit b, int *p)
{
int x;
/* fast return if no power of two */
if ((b == 0u) || ((b & (b-1u)) != 0u)) {
return 0;
}
for (x = 0; x < DIGIT_BIT; x++) {
if (b == ((mp_digit)1<<(mp_digit)x)) {
*p = x;
return 1;
}
}
return 0;
}
/* single digit division (based on routine from MPI) */
int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d)
{
mp_int q;
mp_word w;
mp_digit t;
int res, ix;
/* cannot divide by zero */
if (b == 0u) {
return MP_VAL;
}
/* quick outs */
if ((b == 1u) || (mp_iszero(a) == MP_YES)) {
if (d != NULL) {
*d = 0;
}
if (c != NULL) {
return mp_copy(a, c);
}
return MP_OKAY;
}
/* power of two ? */
if (s_is_power_of_two(b, &ix) == 1) {
if (d != NULL) {
*d = a->dp[0] & (((mp_digit)1<<(mp_digit)ix) - 1uL);
}
if (c != NULL) {
return mp_div_2d(a, ix, c, NULL);
}
return MP_OKAY;
}
#ifdef BN_MP_DIV_3_C
/* three? */
if (b == 3u) {
return mp_div_3(a, c, d);
}
#endif
/* no easy answer [c'est la vie]. Just division */
if ((res = mp_init_size(&q, a->used)) != MP_OKAY) {
return res;
}
q.used = a->used;
q.sign = a->sign;
w = 0;
for (ix = a->used - 1; ix >= 0; ix--) {
w = (w << (mp_word)DIGIT_BIT) | (mp_word)a->dp[ix];
if (w >= b) {
t = (mp_digit)(w / b);
w -= (mp_word)t * (mp_word)b;
} else {
t = 0;
}
q.dp[ix] = t;
}
if (d != NULL) {
*d = (mp_digit)w;
}
if (c != NULL) {
mp_clamp(&q);
mp_exch(&q, c);
}
mp_clear(&q);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

40
third-party/libtommath-1.1.0/bn_mp_dr_is_modulus.c vendored
View file

@ -1,40 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DR_IS_MODULUS_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* determines if a number is a valid DR modulus */
int mp_dr_is_modulus(const mp_int *a)
{
int ix;
/* must be at least two digits */
if (a->used < 2) {
return 0;
}
/* must be of the form b**k - a [a <= b] so all
* but the first digit must be equal to -1 (mod b).
*/
for (ix = 1; ix < a->used; ix++) {
if (a->dp[ix] != MP_MASK) {
return 0;
}
}
return 1;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

92
third-party/libtommath-1.1.0/bn_mp_dr_reduce.c vendored
View file

@ -1,92 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DR_REDUCE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
*
* Based on algorithm from the paper
*
* "Generating Efficient Primes for Discrete Log Cryptosystems"
* Chae Hoon Lim, Pil Joong Lee,
* POSTECH Information Research Laboratories
*
* The modulus must be of a special format [see manual]
*
* Has been modified to use algorithm 7.10 from the LTM book instead
*
* Input x must be in the range 0 <= x <= (n-1)**2
*/
int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k)
{
int err, i, m;
mp_word r;
mp_digit mu, *tmpx1, *tmpx2;
/* m = digits in modulus */
m = n->used;
/* ensure that "x" has at least 2m digits */
if (x->alloc < (m + m)) {
if ((err = mp_grow(x, m + m)) != MP_OKAY) {
return err;
}
}
/* top of loop, this is where the code resumes if
* another reduction pass is required.
*/
top:
/* aliases for digits */
/* alias for lower half of x */
tmpx1 = x->dp;
/* alias for upper half of x, or x/B**m */
tmpx2 = x->dp + m;
/* set carry to zero */
mu = 0;
/* compute (x mod B**m) + k * [x/B**m] inline and inplace */
for (i = 0; i < m; i++) {
r = ((mp_word)*tmpx2++ * (mp_word)k) + *tmpx1 + mu;
*tmpx1++ = (mp_digit)(r & MP_MASK);
mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT));
}
/* set final carry */
*tmpx1++ = mu;
/* zero words above m */
for (i = m + 1; i < x->used; i++) {
*tmpx1++ = 0;
}
/* clamp, sub and return */
mp_clamp(x);
/* if x >= n then subtract and reduce again
* Each successive "recursion" makes the input smaller and smaller.
*/
if (mp_cmp_mag(x, n) != MP_LT) {
if ((err = s_mp_sub(x, n, x)) != MP_OKAY) {
return err;
}
goto top;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

28
third-party/libtommath-1.1.0/bn_mp_dr_setup.c vendored
View file

@ -1,28 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_DR_SETUP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* determines the setup value */
void mp_dr_setup(const mp_int *a, mp_digit *d)
{
/* the casts are required if DIGIT_BIT is one less than
* the number of bits in a mp_digit [e.g. DIGIT_BIT==31]
*/
*d = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - (mp_word)a->dp[0]);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

30
third-party/libtommath-1.1.0/bn_mp_exch.c vendored
View file

@ -1,30 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXCH_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* swap the elements of two integers, for cases where you can't simply swap the
* mp_int pointers around
*/
void mp_exch(mp_int *a, mp_int *b)
{
mp_int t;
t = *a;
*a = *b;
*b = t;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

84
third-party/libtommath-1.1.0/bn_mp_export.c vendored
View file

@ -1,84 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPORT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* based on gmp's mpz_export.
* see http://gmplib.org/manual/Integer-Import-and-Export.html
*/
int mp_export(void *rop, size_t *countp, int order, size_t size,
int endian, size_t nails, const mp_int *op)
{
int result;
size_t odd_nails, nail_bytes, i, j, bits, count;
unsigned char odd_nail_mask;
mp_int t;
if ((result = mp_init_copy(&t, op)) != MP_OKAY) {
return result;
}
if (endian == 0) {
union {
unsigned int i;
char c[4];
} lint;
lint.i = 0x01020304;
endian = (lint.c[0] == '\x04') ? -1 : 1;
}
odd_nails = (nails % 8u);
odd_nail_mask = 0xff;
for (i = 0; i < odd_nails; ++i) {
odd_nail_mask ^= (unsigned char)(1u << (7u - i));
}
nail_bytes = nails / 8u;
bits = (size_t)mp_count_bits(&t);
count = (bits / ((size * 8u) - nails)) + (((bits % ((size * 8u) - nails)) != 0u) ? 1u : 0u);
for (i = 0; i < count; ++i) {
for (j = 0; j < size; ++j) {
unsigned char *byte = (unsigned char *)rop +
(((order == -1) ? i : ((count - 1u) - i)) * size) +
((endian == -1) ? j : ((size - 1u) - j));
if (j >= (size - nail_bytes)) {
*byte = 0;
continue;
}
*byte = (unsigned char)((j == ((size - nail_bytes) - 1u)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFFuL));
if ((result = mp_div_2d(&t, (j == ((size - nail_bytes) - 1u)) ? (int)(8u - odd_nails) : 8, &t, NULL)) != MP_OKAY) {
mp_clear(&t);
return result;
}
}
}
mp_clear(&t);
if (countp != NULL) {
*countp = count;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

25
third-party/libtommath-1.1.0/bn_mp_expt_d.c vendored
View file

@ -1,25 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPT_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* wrapper function for mp_expt_d_ex() */
int mp_expt_d(const mp_int *a, mp_digit b, mp_int *c)
{
return mp_expt_d_ex(a, b, c, 0);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

79
third-party/libtommath-1.1.0/bn_mp_expt_d_ex.c vendored
View file

@ -1,79 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPT_D_EX_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* calculate c = a**b using a square-multiply algorithm */
int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
{
int res;
unsigned int x;
mp_int g;
if ((res = mp_init_copy(&g, a)) != MP_OKAY) {
return res;
}
/* set initial result */
mp_set(c, 1uL);
if (fast != 0) {
while (b > 0u) {
/* if the bit is set multiply */
if ((b & 1u) != 0u) {
if ((res = mp_mul(c, &g, c)) != MP_OKAY) {
mp_clear(&g);
return res;
}
}
/* square */
if (b > 1u) {
if ((res = mp_sqr(&g, &g)) != MP_OKAY) {
mp_clear(&g);
return res;
}
}
/* shift to next bit */
b >>= 1;
}
} else {
for (x = 0; x < (unsigned)DIGIT_BIT; x++) {
/* square */
if ((res = mp_sqr(c, c)) != MP_OKAY) {
mp_clear(&g);
return res;
}
/* if the bit is set multiply */
if ((b & ((mp_digit)1 << (DIGIT_BIT - 1))) != 0u) {
if ((res = mp_mul(c, &g, c)) != MP_OKAY) {
mp_clear(&g);
return res;
}
}
/* shift to next bit */
b <<= 1;
}
} /* if ... else */
mp_clear(&g);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

109
third-party/libtommath-1.1.0/bn_mp_exptmod.c vendored
View file

@ -1,109 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPTMOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* this is a shell function that calls either the normal or Montgomery
* exptmod functions. Originally the call to the montgomery code was
* embedded in the normal function but that wasted alot of stack space
* for nothing (since 99% of the time the Montgomery code would be called)
*/
int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y)
{
int dr;
/* modulus P must be positive */
if (P->sign == MP_NEG) {
return MP_VAL;
}
/* if exponent X is negative we have to recurse */
if (X->sign == MP_NEG) {
#ifdef BN_MP_INVMOD_C
mp_int tmpG, tmpX;
int err;
/* first compute 1/G mod P */
if ((err = mp_init(&tmpG)) != MP_OKAY) {
return err;
}
if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) {
mp_clear(&tmpG);
return err;
}
/* now get |X| */
if ((err = mp_init(&tmpX)) != MP_OKAY) {
mp_clear(&tmpG);
return err;
}
if ((err = mp_abs(X, &tmpX)) != MP_OKAY) {
mp_clear_multi(&tmpG, &tmpX, NULL);
return err;
}
/* and now compute (1/G)**|X| instead of G**X [X < 0] */
err = mp_exptmod(&tmpG, &tmpX, P, Y);
mp_clear_multi(&tmpG, &tmpX, NULL);
return err;
#else
/* no invmod */
return MP_VAL;
#endif
}
/* modified diminished radix reduction */
#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_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 unrestricted DR modulus? */
if (dr == 0) {
dr = mp_reduce_is_2k(P) << 1;
}
#endif
/* if the modulus is odd or dr != 0 use the montgomery method */
#ifdef BN_MP_EXPTMOD_FAST_C
if ((mp_isodd(P) == MP_YES) || (dr != 0)) {
return mp_exptmod_fast(G, X, P, Y, dr);
} else {
#endif
#ifdef BN_S_MP_EXPTMOD_C
/* otherwise use the generic Barrett reduction technique */
return s_mp_exptmod(G, X, P, Y, 0);
#else
/* no exptmod for evens */
return MP_VAL;
#endif
#ifdef BN_MP_EXPTMOD_FAST_C
}
#endif
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

319
third-party/libtommath-1.1.0/bn_mp_exptmod_fast.c vendored
View file

@ -1,319 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPTMOD_FAST_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85
*
* Uses a left-to-right k-ary sliding window to compute the modular exponentiation.
* The value of k changes based on the size of the exponent.
*
* Uses Montgomery or Diminished Radix reduction [whichever appropriate]
*/
#ifdef MP_LOW_MEM
# define TAB_SIZE 32
#else
# define TAB_SIZE 256
#endif
int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode)
{
mp_int M[TAB_SIZE], res;
mp_digit buf, mp;
int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize;
/* use a pointer to the reduction algorithm. This allows us to use
* one of many reduction algorithms without modding the guts of
* the code with if statements everywhere.
*/
int (*redux)(mp_int *x, const mp_int *n, mp_digit rho);
/* find window size */
x = mp_count_bits(X);
if (x <= 7) {
winsize = 2;
} else if (x <= 36) {
winsize = 3;
} else if (x <= 140) {
winsize = 4;
} else if (x <= 450) {
winsize = 5;
} else if (x <= 1303) {
winsize = 6;
} else if (x <= 3529) {
winsize = 7;
} else {
winsize = 8;
}
#ifdef MP_LOW_MEM
if (winsize > 5) {
winsize = 5;
}
#endif
/* init M array */
/* init first cell */
if ((err = mp_init_size(&M[1], P->alloc)) != MP_OKAY) {
return err;
}
/* now init the second half of the array */
for (x = 1<<(winsize-1); x < (1 << winsize); x++) {
if ((err = mp_init_size(&M[x], P->alloc)) != MP_OKAY) {
for (y = 1<<(winsize-1); y < x; y++) {
mp_clear(&M[y]);
}
mp_clear(&M[1]);
return err;
}
}
/* determine and setup reduction code */
if (redmode == 0) {
#ifdef BN_MP_MONTGOMERY_SETUP_C
/* now setup montgomery */
if ((err = mp_montgomery_setup(P, &mp)) != MP_OKAY) {
goto LBL_M;
}
#else
err = MP_VAL;
goto LBL_M;
#endif
/* automatically pick the comba one if available (saves quite a few calls/ifs) */
#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C
if ((((P->used * 2) + 1) < (int)MP_WARRAY) &&
(P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) {
redux = fast_mp_montgomery_reduce;
} else
#endif
{
#ifdef BN_MP_MONTGOMERY_REDUCE_C
/* use slower baseline Montgomery method */
redux = mp_montgomery_reduce;
#else
err = MP_VAL;
goto LBL_M;
#endif
}
} else if (redmode == 1) {
#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C)
/* setup DR reduction for moduli of the form B**k - b */
mp_dr_setup(P, &mp);
redux = mp_dr_reduce;
#else
err = MP_VAL;
goto LBL_M;
#endif
} else {
#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C)
/* setup DR reduction for moduli of the form 2**k - b */
if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) {
goto LBL_M;
}
redux = mp_reduce_2k;
#else
err = MP_VAL;
goto LBL_M;
#endif
}
/* setup result */
if ((err = mp_init_size(&res, P->alloc)) != MP_OKAY) {
goto LBL_M;
}
/* create M table
*
*
* The first half of the table is not computed though accept for M[0] and M[1]
*/
if (redmode == 0) {
#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C
/* now we need R mod m */
if ((err = mp_montgomery_calc_normalization(&res, P)) != MP_OKAY) {
goto LBL_RES;
}
/* now set M[1] to G * R mod m */
if ((err = mp_mulmod(G, &res, P, &M[1])) != MP_OKAY) {
goto LBL_RES;
}
#else
err = MP_VAL;
goto LBL_RES;
#endif
} else {
mp_set(&res, 1uL);
if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) {
goto LBL_RES;
}
}
/* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */
if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) {
goto LBL_RES;
}
for (x = 0; x < (winsize - 1); x++) {
if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, mp)) != MP_OKAY) {
goto LBL_RES;
}
}
/* create upper table */
for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) {
if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&M[x], P, mp)) != MP_OKAY) {
goto LBL_RES;
}
}
/* set initial mode and bit cnt */
mode = 0;
bitcnt = 1;
buf = 0;
digidx = X->used - 1;
bitcpy = 0;
bitbuf = 0;
for (;;) {
/* grab next digit as required */
if (--bitcnt == 0) {
/* if digidx == -1 we are out of digits so break */
if (digidx == -1) {
break;
}
/* read next digit and reset bitcnt */
buf = X->dp[digidx--];
bitcnt = (int)DIGIT_BIT;
}
/* grab the next msb from the exponent */
y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1;
buf <<= (mp_digit)1;
/* if the bit is zero and mode == 0 then we ignore it
* These represent the leading zero bits before the first 1 bit
* in the exponent. Technically this opt is not required but it
* does lower the # of trivial squaring/reductions used
*/
if ((mode == 0) && (y == 0)) {
continue;
}
/* if the bit is zero and mode == 1 then we square */
if ((mode == 1) && (y == 0)) {
if ((err = mp_sqr(&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
continue;
}
/* else we add it to the window */
bitbuf |= (y << (winsize - ++bitcpy));
mode = 2;
if (bitcpy == winsize) {
/* ok window is filled so square as required and multiply */
/* square first */
for (x = 0; x < winsize; x++) {
if ((err = mp_sqr(&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
}
/* then multiply */
if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
/* empty window and reset */
bitcpy = 0;
bitbuf = 0;
mode = 1;
}
}
/* if bits remain then square/multiply */
if ((mode == 2) && (bitcpy > 0)) {
/* square then multiply if the bit is set */
for (x = 0; x < bitcpy; x++) {
if ((err = mp_sqr(&res, &res)) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
/* get next bit of the window */
bitbuf <<= 1;
if ((bitbuf & (1 << winsize)) != 0) {
/* then multiply */
if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY) {
goto LBL_RES;
}
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
}
}
}
if (redmode == 0) {
/* fixup result if Montgomery reduction is used
* recall that any value in a Montgomery system is
* actually multiplied by R mod n. So we have
* to reduce one more time to cancel out the factor
* of R.
*/
if ((err = redux(&res, P, mp)) != MP_OKAY) {
goto LBL_RES;
}
}
/* swap res with Y */
mp_exch(&res, Y);
err = MP_OKAY;
LBL_RES:
mp_clear(&res);
LBL_M:
mp_clear(&M[1]);
for (x = 1<<(winsize-1); x < (1 << winsize); x++) {
mp_clear(&M[x]);
}
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

122
third-party/libtommath-1.1.0/bn_mp_exteuclid.c vendored
View file

@ -1,122 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_EXTEUCLID_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Extended euclidean algorithm of (a, b) produces
a*u1 + b*u2 = u3
*/
int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3)
{
mp_int u1, u2, u3, v1, v2, v3, t1, t2, t3, q, tmp;
int err;
if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) {
return err;
}
/* initialize, (u1,u2,u3) = (1,0,a) */
mp_set(&u1, 1uL);
if ((err = mp_copy(a, &u3)) != MP_OKAY) {
goto LBL_ERR;
}
/* initialize, (v1,v2,v3) = (0,1,b) */
mp_set(&v2, 1uL);
if ((err = mp_copy(b, &v3)) != MP_OKAY) {
goto LBL_ERR;
}
/* loop while v3 != 0 */
while (mp_iszero(&v3) == MP_NO) {
/* q = u3/v3 */
if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) {
goto LBL_ERR;
}
/* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */
if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) {
goto LBL_ERR;
}
/* (u1,u2,u3) = (v1,v2,v3) */
if ((err = mp_copy(&v1, &u1)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_copy(&v2, &u2)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_copy(&v3, &u3)) != MP_OKAY) {
goto LBL_ERR;
}
/* (v1,v2,v3) = (t1,t2,t3) */
if ((err = mp_copy(&t1, &v1)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_copy(&t2, &v2)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_copy(&t3, &v3)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* make sure U3 >= 0 */
if (u3.sign == MP_NEG) {
if ((err = mp_neg(&u1, &u1)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_neg(&u2, &u2)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_neg(&u3, &u3)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* copy result out */
if (U1 != NULL) {
mp_exch(U1, &u1);
}
if (U2 != NULL) {
mp_exch(U2, &u2);
}
if (U3 != NULL) {
mp_exch(U3, &u3);
}
err = MP_OKAY;
LBL_ERR:
mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

68
third-party/libtommath-1.1.0/bn_mp_fread.c vendored
View file

@ -1,68 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_FREAD_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.
*
* SPDX-License-Identifier: Unlicense
*/
#ifndef LTM_NO_FILE
/* read a bigint from a file stream in ASCII */
int mp_fread(mp_int *a, int radix, FILE *stream)
{
int err, ch, neg, y;
unsigned pos;
/* clear a */
mp_zero(a);
/* if first digit is - then set negative */
ch = fgetc(stream);
if (ch == (int)'-') {
neg = MP_NEG;
ch = fgetc(stream);
} else {
neg = MP_ZPOS;
}
for (;;) {
pos = (unsigned)(ch - (int)'(');
if (mp_s_rmap_reverse_sz < pos) {
break;
}
y = (int)mp_s_rmap_reverse[pos];
if ((y == 0xff) || (y >= radix)) {
break;
}
/* shift up and add */
if ((err = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) {
return err;
}
if ((err = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) {
return err;
}
ch = fgetc(stream);
}
if (mp_cmp_d(a, 0uL) != MP_EQ) {
a->sign = neg;
}
return MP_OKAY;
}
#endif
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

51
third-party/libtommath-1.1.0/bn_mp_fwrite.c vendored
View file

@ -1,51 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_FWRITE_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.
*
* SPDX-License-Identifier: Unlicense
*/
#ifndef LTM_NO_FILE
int mp_fwrite(const mp_int *a, int radix, FILE *stream)
{
char *buf;
int err, len, x;
if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) {
return err;
}
buf = OPT_CAST(char) XMALLOC((size_t)len);
if (buf == NULL) {
return MP_MEM;
}
if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) {
XFREE(buf);
return err;
}
for (x = 0; x < len; x++) {
if (fputc((int)buf[x], stream) == EOF) {
XFREE(buf);
return MP_VAL;
}
}
XFREE(buf);
return MP_OKAY;
}
#endif
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

104
third-party/libtommath-1.1.0/bn_mp_gcd.c vendored
View file

@ -1,104 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GCD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Greatest Common Divisor using the binary method */
int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int u, v;
int k, u_lsb, v_lsb, res;
/* either zero than gcd is the largest */
if (mp_iszero(a) == MP_YES) {
return mp_abs(b, c);
}
if (mp_iszero(b) == MP_YES) {
return mp_abs(a, c);
}
/* get copies of a and b we can modify */
if ((res = mp_init_copy(&u, a)) != MP_OKAY) {
return res;
}
if ((res = mp_init_copy(&v, b)) != MP_OKAY) {
goto LBL_U;
}
/* must be positive for the remainder of the algorithm */
u.sign = v.sign = MP_ZPOS;
/* B1. Find the common power of two for u and v */
u_lsb = mp_cnt_lsb(&u);
v_lsb = mp_cnt_lsb(&v);
k = MIN(u_lsb, v_lsb);
if (k > 0) {
/* divide the power of two out */
if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) {
goto LBL_V;
}
if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) {
goto LBL_V;
}
}
/* divide any remaining factors of two out */
if (u_lsb != k) {
if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) {
goto LBL_V;
}
}
if (v_lsb != k) {
if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) {
goto LBL_V;
}
}
while (mp_iszero(&v) == MP_NO) {
/* make sure v is the largest */
if (mp_cmp_mag(&u, &v) == MP_GT) {
/* swap u and v to make sure v is >= u */
mp_exch(&u, &v);
}
/* subtract smallest from largest */
if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) {
goto LBL_V;
}
/* Divide out all factors of two */
if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) {
goto LBL_V;
}
}
/* multiply by 2**k which we divided out at the beginning */
if ((res = mp_mul_2d(&u, k, c)) != MP_OKAY) {
goto LBL_V;
}
c->sign = MP_ZPOS;
res = MP_OKAY;
LBL_V:
mp_clear(&u);
LBL_U:
mp_clear(&v);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

54
third-party/libtommath-1.1.0/bn_mp_get_bit.c vendored
View file

@ -1,54 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_BIT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Checks the bit at position b and returns MP_YES
if the bit is 1, MP_NO if it is 0 and MP_VAL
in case of error */
int mp_get_bit(const mp_int *a, int b)
{
int limb;
mp_digit bit, isset;
if (b < 0) {
return MP_VAL;
}
limb = b / DIGIT_BIT;
/*
* Zero is a special value with the member "used" set to zero.
* Needs to be tested before the check for the upper boundary
* otherwise (limb >= a->used) would be true for a = 0
*/
if (mp_iszero(a) != MP_NO) {
return MP_NO;
}
if (limb >= a->used) {
return MP_VAL;
}
bit = (mp_digit)(1) << (b % DIGIT_BIT);
isset = a->dp[limb] & bit;
return (isset != 0u) ? MP_YES : MP_NO;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

31
third-party/libtommath-1.1.0/bn_mp_get_double.c vendored
View file

@ -1,31 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_DOUBLE_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.
*
* SPDX-License-Identifier: Unlicense
*/
double mp_get_double(const mp_int *a)
{
int i;
double d = 0.0, fac = 1.0;
for (i = 0; i < DIGIT_BIT; ++i) {
fac *= 2.0;
}
for (i = USED(a); i --> 0;) {
d = (d * fac) + (double)DIGIT(a, i);
}
return (mp_isneg(a) != MP_NO) ? -d : d;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

42
third-party/libtommath-1.1.0/bn_mp_get_int.c vendored
View file

@ -1,42 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_INT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* get the lower 32-bits of an mp_int */
unsigned long mp_get_int(const mp_int *a)
{
int i;
mp_min_u32 res;
if (a->used == 0) {
return 0;
}
/* get number of digits of the lsb we have to read */
i = MIN(a->used, ((((int)sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1;
/* get most significant digit of result */
res = DIGIT(a, i);
while (--i >= 0) {
res = (res << DIGIT_BIT) | DIGIT(a, i);
}
/* force result to 32-bits always so it is consistent on non 32-bit platforms */
return res & 0xFFFFFFFFUL;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

42
third-party/libtommath-1.1.0/bn_mp_get_long.c vendored
View file

@ -1,42 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_LONG_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* get the lower unsigned long of an mp_int, platform dependent */
unsigned long mp_get_long(const mp_int *a)
{
int i;
unsigned long res;
if (a->used == 0) {
return 0;
}
/* get number of digits of the lsb we have to read */
i = MIN(a->used, ((((int)sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1;
/* get most significant digit of result */
res = DIGIT(a, i);
#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32)
while (--i >= 0) {
res = (res << DIGIT_BIT) | DIGIT(a, i);
}
#endif
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

42
third-party/libtommath-1.1.0/bn_mp_get_long_long.c vendored
View file

@ -1,42 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_LONG_LONG_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* get the lower unsigned long long of an mp_int, platform dependent */
unsigned long long mp_get_long_long(const mp_int *a)
{
int i;
unsigned long long res;
if (a->used == 0) {
return 0;
}
/* get number of digits of the lsb we have to read */
i = MIN(a->used, ((((int)sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1;
/* get most significant digit of result */
res = DIGIT(a, i);
#if DIGIT_BIT < 64
while (--i >= 0) {
res = (res << DIGIT_BIT) | DIGIT(a, i);
}
#endif
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

54
third-party/libtommath-1.1.0/bn_mp_grow.c vendored
View file

@ -1,54 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_GROW_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* grow as required */
int mp_grow(mp_int *a, int size)
{
int i;
mp_digit *tmp;
/* if the alloc size is smaller alloc more ram */
if (a->alloc < size) {
/* ensure there are always at least MP_PREC digits extra on top */
size += (MP_PREC * 2) - (size % MP_PREC);
/* reallocate the array a->dp
*
* We store the return in a temporary variable
* in case the operation failed we don't want
* to overwrite the dp member of a.
*/
tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * (size_t)size);
if (tmp == NULL) {
/* reallocation failed but "a" is still valid [can be freed] */
return MP_MEM;
}
/* reallocation succeeded so set a->dp */
a->dp = tmp;
/* zero excess digits */
i = a->alloc;
a->alloc = size;
for (; i < a->alloc; i++) {
a->dp[i] = 0;
}
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

68
third-party/libtommath-1.1.0/bn_mp_import.c vendored
View file

@ -1,68 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_IMPORT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* based on gmp's mpz_import.
* see http://gmplib.org/manual/Integer-Import-and-Export.html
*/
int mp_import(mp_int *rop, size_t count, int order, size_t size,
int endian, size_t nails, const void *op)
{
int result;
size_t odd_nails, nail_bytes, i, j;
unsigned char odd_nail_mask;
mp_zero(rop);
if (endian == 0) {
union {
unsigned int i;
char c[4];
} lint;
lint.i = 0x01020304;
endian = (lint.c[0] == '\x04') ? -1 : 1;
}
odd_nails = (nails % 8u);
odd_nail_mask = 0xff;
for (i = 0; i < odd_nails; ++i) {
odd_nail_mask ^= (unsigned char)(1u << (7u - i));
}
nail_bytes = nails / 8u;
for (i = 0; i < count; ++i) {
for (j = 0; j < (size - nail_bytes); ++j) {
unsigned char byte = *((unsigned char *)op +
(((order == 1) ? i : ((count - 1u) - i)) * size) +
((endian == 1) ? (j + nail_bytes) : (((size - 1u) - j) - nail_bytes)));
if ((result = mp_mul_2d(rop, (j == 0u) ? (int)(8u - odd_nails) : 8, rop)) != MP_OKAY) {
return result;
}
rop->dp[0] |= (j == 0u) ? (mp_digit)(byte & odd_nail_mask) : (mp_digit)byte;
rop->used += 1;
}
}
mp_clamp(rop);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

43
third-party/libtommath-1.1.0/bn_mp_init.c vendored
View file

@ -1,43 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* init a new mp_int */
int mp_init(mp_int *a)
{
int i;
/* allocate memory required and clear it */
a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)MP_PREC);
if (a->dp == NULL) {
return MP_MEM;
}
/* set the digits to zero */
for (i = 0; i < MP_PREC; i++) {
a->dp[i] = 0;
}
/* set the used to zero, allocated digits to the default precision
* and sign to positive */
a->used = 0;
a->alloc = MP_PREC;
a->sign = MP_ZPOS;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

34
third-party/libtommath-1.1.0/bn_mp_init_copy.c vendored
View file

@ -1,34 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_COPY_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* creates "a" then copies b into it */
int mp_init_copy(mp_int *a, const mp_int *b)
{
int res;
if ((res = mp_init_size(a, b->used)) != MP_OKAY) {
return res;
}
if ((res = mp_copy(b, a)) != MP_OKAY) {
mp_clear(a);
}
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

54
third-party/libtommath-1.1.0/bn_mp_init_multi.c vendored
View file

@ -1,54 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_MULTI_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.
*
* SPDX-License-Identifier: Unlicense
*/
#include <stdarg.h>
int mp_init_multi(mp_int *mp, ...)
{
mp_err res = MP_OKAY; /* Assume ok until proven otherwise */
int n = 0; /* Number of ok inits */
mp_int *cur_arg = mp;
va_list args;
va_start(args, mp); /* init args to next argument from caller */
while (cur_arg != NULL) {
if (mp_init(cur_arg) != MP_OKAY) {
/* Oops - error! Back-track and mp_clear what we already
succeeded in init-ing, then return error.
*/
va_list clean_args;
/* now start cleaning up */
cur_arg = mp;
va_start(clean_args, mp);
while (n-- != 0) {
mp_clear(cur_arg);
cur_arg = va_arg(clean_args, mp_int *);
}
va_end(clean_args);
res = MP_MEM;
break;
}
n++;
cur_arg = va_arg(args, mp_int *);
}
va_end(args);
return res; /* Assumed ok, if error flagged above. */
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

29
third-party/libtommath-1.1.0/bn_mp_init_set.c vendored
View file

@ -1,29 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_SET_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* initialize and set a digit */
int mp_init_set(mp_int *a, mp_digit b)
{
int err;
if ((err = mp_init(a)) != MP_OKAY) {
return err;
}
mp_set(a, b);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

28
third-party/libtommath-1.1.0/bn_mp_init_set_int.c vendored
View file

@ -1,28 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_SET_INT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* initialize and set a digit */
int mp_init_set_int(mp_int *a, unsigned long b)
{
int err;
if ((err = mp_init(a)) != MP_OKAY) {
return err;
}
return mp_set_int(a, b);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

45
third-party/libtommath-1.1.0/bn_mp_init_size.c vendored
View file

@ -1,45 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_SIZE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* init an mp_init for a given size */
int mp_init_size(mp_int *a, int size)
{
int x;
/* pad size so there are always extra digits */
size += (MP_PREC * 2) - (size % MP_PREC);
/* alloc mem */
a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)size);
if (a->dp == NULL) {
return MP_MEM;
}
/* set the members */
a->used = 0;
a->alloc = size;
a->sign = MP_ZPOS;
/* zero the digits */
for (x = 0; x < size; x++) {
a->dp[x] = 0;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

40
third-party/libtommath-1.1.0/bn_mp_invmod.c vendored
View file

@ -1,40 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INVMOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* hac 14.61, pp608 */
int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c)
{
/* b cannot be negative and has to be >1 */
if ((b->sign == MP_NEG) || (mp_cmp_d(b, 1uL) != MP_GT)) {
return MP_VAL;
}
#ifdef BN_FAST_MP_INVMOD_C
/* if the modulus is odd we can use a faster routine instead */
if ((mp_isodd(b) == MP_YES)) {
return fast_mp_invmod(a, b, c);
}
#endif
#ifdef BN_MP_INVMOD_SLOW_C
return mp_invmod_slow(a, b, c);
#else
return MP_VAL;
#endif
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

173
third-party/libtommath-1.1.0/bn_mp_invmod_slow.c vendored
View file

@ -1,173 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_INVMOD_SLOW_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* hac 14.61, pp608 */
int mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int x, y, u, v, A, B, C, D;
int res;
/* b cannot be negative */
if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) {
return MP_VAL;
}
/* init temps */
if ((res = mp_init_multi(&x, &y, &u, &v,
&A, &B, &C, &D, NULL)) != MP_OKAY) {
return res;
}
/* x = a, y = b */
if ((res = mp_mod(a, b, &x)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_copy(b, &y)) != MP_OKAY) {
goto LBL_ERR;
}
/* 2. [modified] if x,y are both even then return an error! */
if ((mp_iseven(&x) == MP_YES) && (mp_iseven(&y) == MP_YES)) {
res = MP_VAL;
goto LBL_ERR;
}
/* 3. u=x, v=y, A=1, B=0, C=0,D=1 */
if ((res = mp_copy(&x, &u)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_copy(&y, &v)) != MP_OKAY) {
goto LBL_ERR;
}
mp_set(&A, 1uL);
mp_set(&D, 1uL);
top:
/* 4. while u is even do */
while (mp_iseven(&u) == MP_YES) {
/* 4.1 u = u/2 */
if ((res = mp_div_2(&u, &u)) != MP_OKAY) {
goto LBL_ERR;
}
/* 4.2 if A or B is odd then */
if ((mp_isodd(&A) == MP_YES) || (mp_isodd(&B) == MP_YES)) {
/* A = (A+y)/2, B = (B-x)/2 */
if ((res = mp_add(&A, &y, &A)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&B, &x, &B)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* A = A/2, B = B/2 */
if ((res = mp_div_2(&A, &A)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_div_2(&B, &B)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* 5. while v is even do */
while (mp_iseven(&v) == MP_YES) {
/* 5.1 v = v/2 */
if ((res = mp_div_2(&v, &v)) != MP_OKAY) {
goto LBL_ERR;
}
/* 5.2 if C or D is odd then */
if ((mp_isodd(&C) == MP_YES) || (mp_isodd(&D) == MP_YES)) {
/* C = (C+y)/2, D = (D-x)/2 */
if ((res = mp_add(&C, &y, &C)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&D, &x, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* C = C/2, D = D/2 */
if ((res = mp_div_2(&C, &C)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_div_2(&D, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* 6. if u >= v then */
if (mp_cmp(&u, &v) != MP_LT) {
/* u = u - v, A = A - C, B = B - D */
if ((res = mp_sub(&u, &v, &u)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&A, &C, &A)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&B, &D, &B)) != MP_OKAY) {
goto LBL_ERR;
}
} else {
/* v - v - u, C = C - A, D = D - B */
if ((res = mp_sub(&v, &u, &v)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&C, &A, &C)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sub(&D, &B, &D)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* if not zero goto step 4 */
if (mp_iszero(&u) == MP_NO)
goto top;
/* now a = C, b = D, gcd == g*v */
/* if v != 1 then there is no inverse */
if (mp_cmp_d(&v, 1uL) != MP_EQ) {
res = MP_VAL;
goto LBL_ERR;
}
/* if its too low */
while (mp_cmp_d(&C, 0uL) == MP_LT) {
if ((res = mp_add(&C, b, &C)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* too big */
while (mp_cmp_mag(&C, b) != MP_LT) {
if ((res = mp_sub(&C, b, &C)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* C is now the inverse */
mp_exch(&C, c);
res = MP_OKAY;
LBL_ERR:
mp_clear_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

107
third-party/libtommath-1.1.0/bn_mp_is_square.c vendored
View file

@ -1,107 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_IS_SQUARE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Check if remainders are possible squares - fast exclude non-squares */
static const char rem_128[128] = {
0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1
};
static const char rem_105[105] = {
0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1,
0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1,
1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,
1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1,
1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1
};
/* Store non-zero to ret if arg is square, and zero if not */
int mp_is_square(const mp_int *arg, int *ret)
{
int res;
mp_digit c;
mp_int t;
unsigned long r;
/* Default to Non-square :) */
*ret = MP_NO;
if (arg->sign == MP_NEG) {
return MP_VAL;
}
/* digits used? (TSD) */
if (arg->used == 0) {
return MP_OKAY;
}
/* First check mod 128 (suppose that DIGIT_BIT is at least 7) */
if (rem_128[127u & DIGIT(arg, 0)] == (char)1) {
return MP_OKAY;
}
/* Next check mod 105 (3*5*7) */
if ((res = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) {
return res;
}
if (rem_105[c] == (char)1) {
return MP_OKAY;
}
if ((res = mp_init_set_int(&t, 11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) {
return res;
}
if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) {
goto LBL_ERR;
}
r = mp_get_int(&t);
/* Check for other prime modules, note it's not an ERROR but we must
* free "t" so the easiest way is to goto LBL_ERR. We know that res
* is already equal to MP_OKAY from the mp_mod call
*/
if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto LBL_ERR;
if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR;
/* Final check - is sqr(sqrt(arg)) == arg ? */
if ((res = mp_sqrt(arg, &t)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sqr(&t, &t)) != MP_OKAY) {
goto LBL_ERR;
}
*ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO;
LBL_ERR:
mp_clear(&t);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

36
third-party/libtommath-1.1.0/bn_mp_jacobi.c vendored
View file

@ -1,36 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_JACOBI_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes the jacobi c = (a | n) (or Legendre if n is prime)
* Kept for legacy reasons, please use mp_kronecker() instead
*/
int mp_jacobi(const mp_int *a, const mp_int *n, int *c)
{
/* if a < 0 return MP_VAL */
if (mp_isneg(a) == MP_YES) {
return MP_VAL;
}
/* if n <= 0 return MP_VAL */
if (mp_cmp_d(n, 0uL) != MP_GT) {
return MP_VAL;
}
return mp_kronecker(a, n, c);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

171
third-party/libtommath-1.1.0/bn_mp_karatsuba_mul.c vendored
View file

@ -1,171 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_KARATSUBA_MUL_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* c = |a| * |b| using Karatsuba Multiplication using
* three half size multiplications
*
* Let B represent the radix [e.g. 2**DIGIT_BIT] and
* let n represent half of the number of digits in
* the min(a,b)
*
* a = a1 * B**n + a0
* b = b1 * B**n + b0
*
* Then, a * b =>
a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0
*
* Note that a1b1 and a0b0 are used twice and only need to be
* computed once. So in total three half size (half # of
* digit) multiplications are performed, a0b0, a1b1 and
* (a1+b1)(a0+b0)
*
* Note that a multiplication of half the digits requires
* 1/4th the number of single precision multiplications so in
* total after one call 25% of the single precision multiplications
* are saved. Note also that the call to mp_mul can end up back
* in this function if the a0, a1, b0, or b1 are above the threshold.
* This is known as divide-and-conquer and leads to the famous
* O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than
* the standard O(N**2) that the baseline/comba methods use.
* Generally though the overhead of this method doesn't pay off
* until a certain size (N ~ 80) is reached.
*/
int mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int x0, x1, y0, y1, t1, x0y0, x1y1;
int B, err;
/* default the return code to an error */
err = MP_MEM;
/* min # of digits */
B = MIN(a->used, b->used);
/* now divide in two */
B = B >> 1;
/* init copy all the temps */
if (mp_init_size(&x0, B) != MP_OKAY)
goto LBL_ERR;
if (mp_init_size(&x1, a->used - B) != MP_OKAY)
goto X0;
if (mp_init_size(&y0, B) != MP_OKAY)
goto X1;
if (mp_init_size(&y1, b->used - B) != MP_OKAY)
goto Y0;
/* init temps */
if (mp_init_size(&t1, B * 2) != MP_OKAY)
goto Y1;
if (mp_init_size(&x0y0, B * 2) != MP_OKAY)
goto T1;
if (mp_init_size(&x1y1, B * 2) != MP_OKAY)
goto X0Y0;
/* now shift the digits */
x0.used = y0.used = B;
x1.used = a->used - B;
y1.used = b->used - B;
{
int x;
mp_digit *tmpa, *tmpb, *tmpx, *tmpy;
/* we copy the digits directly instead of using higher level functions
* since we also need to shift the digits
*/
tmpa = a->dp;
tmpb = b->dp;
tmpx = x0.dp;
tmpy = y0.dp;
for (x = 0; x < B; x++) {
*tmpx++ = *tmpa++;
*tmpy++ = *tmpb++;
}
tmpx = x1.dp;
for (x = B; x < a->used; x++) {
*tmpx++ = *tmpa++;
}
tmpy = y1.dp;
for (x = B; x < b->used; x++) {
*tmpy++ = *tmpb++;
}
}
/* only need to clamp the lower words since by definition the
* upper words x1/y1 must have a known number of digits
*/
mp_clamp(&x0);
mp_clamp(&y0);
/* now calc the products x0y0 and x1y1 */
/* after this x0 is no longer required, free temp [x0==t2]! */
if (mp_mul(&x0, &y0, &x0y0) != MP_OKAY)
goto X1Y1; /* x0y0 = x0*y0 */
if (mp_mul(&x1, &y1, &x1y1) != MP_OKAY)
goto X1Y1; /* x1y1 = x1*y1 */
/* now calc x1+x0 and y1+y0 */
if (s_mp_add(&x1, &x0, &t1) != MP_OKAY)
goto X1Y1; /* t1 = x1 - x0 */
if (s_mp_add(&y1, &y0, &x0) != MP_OKAY)
goto X1Y1; /* t2 = y1 - y0 */
if (mp_mul(&t1, &x0, &t1) != MP_OKAY)
goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */
/* add x0y0 */
if (mp_add(&x0y0, &x1y1, &x0) != MP_OKAY)
goto X1Y1; /* t2 = x0y0 + x1y1 */
if (s_mp_sub(&t1, &x0, &t1) != MP_OKAY)
goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */
/* shift by B */
if (mp_lshd(&t1, B) != MP_OKAY)
goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<<B */
if (mp_lshd(&x1y1, B * 2) != MP_OKAY)
goto X1Y1; /* x1y1 = x1y1 << 2*B */
if (mp_add(&x0y0, &t1, &t1) != MP_OKAY)
goto X1Y1; /* t1 = x0y0 + t1 */
if (mp_add(&t1, &x1y1, c) != MP_OKAY)
goto X1Y1; /* t1 = x0y0 + t1 + x1y1 */
/* Algorithm succeeded set the return code to MP_OKAY */
err = MP_OKAY;
X1Y1:
mp_clear(&x1y1);
X0Y0:
mp_clear(&x0y0);
T1:
mp_clear(&t1);
Y1:
mp_clear(&y1);
Y0:
mp_clear(&y0);
X1:
mp_clear(&x1);
X0:
mp_clear(&x0);
LBL_ERR:
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

124
third-party/libtommath-1.1.0/bn_mp_karatsuba_sqr.c vendored
View file

@ -1,124 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_KARATSUBA_SQR_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Karatsuba squaring, computes b = a*a using three
* half size squarings
*
* See comments of karatsuba_mul for details. It
* is essentially the same algorithm but merely
* tuned to perform recursive squarings.
*/
int mp_karatsuba_sqr(const mp_int *a, mp_int *b)
{
mp_int x0, x1, t1, t2, x0x0, x1x1;
int B, err;
err = MP_MEM;
/* min # of digits */
B = a->used;
/* now divide in two */
B = B >> 1;
/* init copy all the temps */
if (mp_init_size(&x0, B) != MP_OKAY)
goto LBL_ERR;
if (mp_init_size(&x1, a->used - B) != MP_OKAY)
goto X0;
/* init temps */
if (mp_init_size(&t1, a->used * 2) != MP_OKAY)
goto X1;
if (mp_init_size(&t2, a->used * 2) != MP_OKAY)
goto T1;
if (mp_init_size(&x0x0, B * 2) != MP_OKAY)
goto T2;
if (mp_init_size(&x1x1, (a->used - B) * 2) != MP_OKAY)
goto X0X0;
{
int x;
mp_digit *dst, *src;
src = a->dp;
/* now shift the digits */
dst = x0.dp;
for (x = 0; x < B; x++) {
*dst++ = *src++;
}
dst = x1.dp;
for (x = B; x < a->used; x++) {
*dst++ = *src++;
}
}
x0.used = B;
x1.used = a->used - B;
mp_clamp(&x0);
/* now calc the products x0*x0 and x1*x1 */
if (mp_sqr(&x0, &x0x0) != MP_OKAY)
goto X1X1; /* x0x0 = x0*x0 */
if (mp_sqr(&x1, &x1x1) != MP_OKAY)
goto X1X1; /* x1x1 = x1*x1 */
/* now calc (x1+x0)**2 */
if (s_mp_add(&x1, &x0, &t1) != MP_OKAY)
goto X1X1; /* t1 = x1 - x0 */
if (mp_sqr(&t1, &t1) != MP_OKAY)
goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */
/* add x0y0 */
if (s_mp_add(&x0x0, &x1x1, &t2) != MP_OKAY)
goto X1X1; /* t2 = x0x0 + x1x1 */
if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY)
goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */
/* shift by B */
if (mp_lshd(&t1, B) != MP_OKAY)
goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */
if (mp_lshd(&x1x1, B * 2) != MP_OKAY)
goto X1X1; /* x1x1 = x1x1 << 2*B */
if (mp_add(&x0x0, &t1, &t1) != MP_OKAY)
goto X1X1; /* t1 = x0x0 + t1 */
if (mp_add(&t1, &x1x1, b) != MP_OKAY)
goto X1X1; /* t1 = x0x0 + t1 + x1x1 */
err = MP_OKAY;
X1X1:
mp_clear(&x1x1);
X0X0:
mp_clear(&x0x0);
T2:
mp_clear(&t2);
T1:
mp_clear(&t1);
X1:
mp_clear(&x1);
X0:
mp_clear(&x0);
LBL_ERR:
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

144
third-party/libtommath-1.1.0/bn_mp_kronecker.c vendored
View file

@ -1,144 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_KRONECKER_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.
*
* SPDX-License-Identifier: Unlicense
*/
/*
Kronecker symbol (a|p)
Straightforward implementation of algorithm 1.4.10 in
Henri Cohen: "A Course in Computational Algebraic Number Theory"
@book{cohen2013course,
title={A course in computational algebraic number theory},
author={Cohen, Henri},
volume={138},
year={2013},
publisher={Springer Science \& Business Media}
}
*/
int mp_kronecker(const mp_int *a, const mp_int *p, int *c)
{
mp_int a1, p1, r;
int e = MP_OKAY;
int v, k;
static const int table[8] = {0, 1, 0, -1, 0, -1, 0, 1};
if (mp_iszero(p) != MP_NO) {
if ((a->used == 1) && (a->dp[0] == 1u)) {
*c = 1;
return e;
} else {
*c = 0;
return e;
}
}
if ((mp_iseven(a) != MP_NO) && (mp_iseven(p) != MP_NO)) {
*c = 0;
return e;
}
if ((e = mp_init_copy(&a1, a)) != MP_OKAY) {
return e;
}
if ((e = mp_init_copy(&p1, p)) != MP_OKAY) {
goto LBL_KRON_0;
}
v = mp_cnt_lsb(&p1);
if ((e = mp_div_2d(&p1, v, &p1, NULL)) != MP_OKAY) {
goto LBL_KRON_1;
}
if ((v & 0x1) == 0) {
k = 1;
} else {
k = table[a->dp[0] & 7u];
}
if (p1.sign == MP_NEG) {
p1.sign = MP_ZPOS;
if (a1.sign == MP_NEG) {
k = -k;
}
}
if ((e = mp_init(&r)) != MP_OKAY) {
goto LBL_KRON_1;
}
for (;;) {
if (mp_iszero(&a1) != MP_NO) {
if (mp_cmp_d(&p1, 1uL) == MP_EQ) {
*c = k;
goto LBL_KRON;
} else {
*c = 0;
goto LBL_KRON;
}
}
v = mp_cnt_lsb(&a1);
if ((e = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) {
goto LBL_KRON;
}
if ((v & 0x1) == 1) {
k = k * table[p1.dp[0] & 7u];
}
if (a1.sign == MP_NEG) {
/*
* Compute k = (-1)^((a1)*(p1-1)/4) * k
* a1.dp[0] + 1 cannot overflow because the MSB
* of the type mp_digit is not set by definition
*/
if (((a1.dp[0] + 1u) & p1.dp[0] & 2u) != 0u) {
k = -k;
}
} else {
/* compute k = (-1)^((a1-1)*(p1-1)/4) * k */
if ((a1.dp[0] & p1.dp[0] & 2u) != 0u) {
k = -k;
}
}
if ((e = mp_copy(&a1, &r)) != MP_OKAY) {
goto LBL_KRON;
}
r.sign = MP_ZPOS;
if ((e = mp_mod(&p1, &r, &a1)) != MP_OKAY) {
goto LBL_KRON;
}
if ((e = mp_copy(&r, &p1)) != MP_OKAY) {
goto LBL_KRON;
}
}
LBL_KRON:
mp_clear(&r);
LBL_KRON_1:
mp_clear(&p1);
LBL_KRON_0:
mp_clear(&a1);
return e;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

57
third-party/libtommath-1.1.0/bn_mp_lcm.c vendored
View file

@ -1,57 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_LCM_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes least common multiple as |a*b|/(a, b) */
int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c)
{
int res;
mp_int t1, t2;
if ((res = mp_init_multi(&t1, &t2, NULL)) != MP_OKAY) {
return res;
}
/* t1 = get the GCD of the two inputs */
if ((res = mp_gcd(a, b, &t1)) != MP_OKAY) {
goto LBL_T;
}
/* divide the smallest by the GCD */
if (mp_cmp_mag(a, b) == MP_LT) {
/* store quotient in t2 such that t2 * b is the LCM */
if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) {
goto LBL_T;
}
res = mp_mul(b, &t2, c);
} else {
/* store quotient in t2 such that t2 * a is the LCM */
if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) {
goto LBL_T;
}
res = mp_mul(a, &t2, c);
}
/* fix the sign to positive */
c->sign = MP_ZPOS;
LBL_T:
mp_clear_multi(&t1, &t2, NULL);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

68
third-party/libtommath-1.1.0/bn_mp_lshd.c vendored
View file

@ -1,68 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_LSHD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* shift left a certain amount of digits */
int mp_lshd(mp_int *a, int b)
{
int x, res;
/* if its less than zero return */
if (b <= 0) {
return MP_OKAY;
}
/* no need to shift 0 around */
if (mp_iszero(a) == MP_YES) {
return MP_OKAY;
}
/* grow to fit the new digits */
if (a->alloc < (a->used + b)) {
if ((res = mp_grow(a, a->used + b)) != MP_OKAY) {
return res;
}
}
{
mp_digit *top, *bottom;
/* increment the used by the shift amount then copy upwards */
a->used += b;
/* top */
top = a->dp + a->used - 1;
/* base */
bottom = (a->dp + a->used - 1) - b;
/* much like mp_rshd this is implemented using a sliding window
* except the window goes the otherway around. Copying from
* the bottom to the top. see bn_mp_rshd.c for more info.
*/
for (x = a->used - 1; x >= b; x--) {
*top-- = *bottom--;
}
/* zero the lower digits */
top = a->dp;
for (x = 0; x < b; x++) {
*top++ = 0;
}
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

44
third-party/libtommath-1.1.0/bn_mp_mod.c vendored
View file

@ -1,44 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */
int mp_mod(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int t;
int res;
if ((res = mp_init_size(&t, b->used)) != MP_OKAY) {
return res;
}
if ((res = mp_div(a, b, NULL, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
}
if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) {
res = MP_OKAY;
mp_exch(&t, c);
} else {
res = mp_add(b, &t, c);
}
mp_clear(&t);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

51
third-party/libtommath-1.1.0/bn_mp_mod_2d.c vendored
View file

@ -1,51 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MOD_2D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* calc a value mod 2**b */
int mp_mod_2d(const mp_int *a, int b, mp_int *c)
{
int x, res;
/* if b is <= 0 then zero the int */
if (b <= 0) {
mp_zero(c);
return MP_OKAY;
}
/* if the modulus is larger than the value than return */
if (b >= (a->used * DIGIT_BIT)) {
res = mp_copy(a, c);
return res;
}
/* copy */
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
}
/* zero digits above the last digit of the modulus */
for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) {
c->dp[x] = 0;
}
/* clear the digit that is not completely outside/inside the modulus */
c->dp[b / DIGIT_BIT] &=
((mp_digit)1 << (mp_digit)(b % DIGIT_BIT)) - (mp_digit)1;
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

23
third-party/libtommath-1.1.0/bn_mp_mod_d.c vendored
View file

@ -1,23 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MOD_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c)
{
return mp_div_d(a, b, NULL, c);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

56
third-party/libtommath-1.1.0/bn_mp_montgomery_calc_normalization.c vendored
View file

@ -1,56 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_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.
*
* SPDX-License-Identifier: Unlicense
*/
/*
* shifts with subtractions when the result is greater than b.
*
* The method is slightly modified to shift B unconditionally upto just under
* the leading bit of b. This saves alot of multiple precision shifting.
*/
int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b)
{
int x, bits, res;
/* how many bits of last digit does b use */
bits = mp_count_bits(b) % DIGIT_BIT;
if (b->used > 1) {
if ((res = mp_2expt(a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) {
return res;
}
} else {
mp_set(a, 1uL);
bits = 1;
}
/* now compute C = A * B mod b */
for (x = bits - 1; x < (int)DIGIT_BIT; x++) {
if ((res = mp_mul_2(a, a)) != MP_OKAY) {
return res;
}
if (mp_cmp_mag(a, b) != MP_LT) {
if ((res = s_mp_sub(a, b, a)) != MP_OKAY) {
return res;
}
}
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

115
third-party/libtommath-1.1.0/bn_mp_montgomery_reduce.c vendored
View file

@ -1,115 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MONTGOMERY_REDUCE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* computes xR**-1 == x (mod N) via Montgomery Reduction */
int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
{
int ix, res, digs;
mp_digit mu;
/* can the fast reduction [comba] method be used?
*
* Note that unlike in mul you're safely allowed *less*
* than the available columns [255 per default] since carries
* are fixed up in the inner loop.
*/
digs = (n->used * 2) + 1;
if ((digs < (int)MP_WARRAY) &&
(x->used <= (int)MP_WARRAY) &&
(n->used <
(int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) {
return fast_mp_montgomery_reduce(x, n, rho);
}
/* grow the input as required */
if (x->alloc < digs) {
if ((res = mp_grow(x, digs)) != MP_OKAY) {
return res;
}
}
x->used = digs;
for (ix = 0; ix < n->used; ix++) {
/* mu = ai * rho mod b
*
* The value of rho must be precalculated via
* montgomery_setup() such that
* it equals -1/n0 mod b this allows the
* following inner loop to reduce the
* input one digit at a time
*/
mu = (mp_digit)(((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK);
/* a = a + mu * m * b**i */
{
int iy;
mp_digit *tmpn, *tmpx, u;
mp_word r;
/* alias for digits of the modulus */
tmpn = n->dp;
/* alias for the digits of x [the input] */
tmpx = x->dp + ix;
/* set the carry to zero */
u = 0;
/* Multiply and add in place */
for (iy = 0; iy < n->used; iy++) {
/* compute product and sum */
r = ((mp_word)mu * (mp_word)*tmpn++) +
(mp_word)u + (mp_word)*tmpx;
/* get carry */
u = (mp_digit)(r >> (mp_word)DIGIT_BIT);
/* fix digit */
*tmpx++ = (mp_digit)(r & (mp_word)MP_MASK);
}
/* At this point the ix'th digit of x should be zero */
/* propagate carries upwards as required*/
while (u != 0u) {
*tmpx += u;
u = *tmpx >> DIGIT_BIT;
*tmpx++ &= MP_MASK;
}
}
}
/* at this point the n.used'th least
* significant digits of x are all zero
* which means we can shift x to the
* right by n.used digits and the
* residue is unchanged.
*/
/* x = x/b**n.used */
mp_clamp(x);
mp_rshd(x, n->used);
/* if x >= n then x = x - n */
if (mp_cmp_mag(x, n) != MP_LT) {
return s_mp_sub(x, n, x);
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

55
third-party/libtommath-1.1.0/bn_mp_montgomery_setup.c vendored
View file

@ -1,55 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MONTGOMERY_SETUP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* setups the montgomery reduction stuff */
int mp_montgomery_setup(const mp_int *n, mp_digit *rho)
{
mp_digit x, b;
/* fast inversion mod 2**k
*
* Based on the fact that
*
* XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n)
* => 2*X*A - X*X*A*A = 1
* => 2*(1) - (1) = 1
*/
b = n->dp[0];
if ((b & 1u) == 0u) {
return MP_VAL;
}
x = (((b + 2u) & 4u) << 1) + b; /* here x*a==1 mod 2**4 */
x *= 2u - (b * x); /* here x*a==1 mod 2**8 */
#if !defined(MP_8BIT)
x *= 2u - (b * x); /* here x*a==1 mod 2**16 */
#endif
#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT))
x *= 2u - (b * x); /* here x*a==1 mod 2**32 */
#endif
#ifdef MP_64BIT
x *= 2u - (b * x); /* here x*a==1 mod 2**64 */
#endif
/* rho = -1/m mod b */
*rho = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - x) & MP_MASK;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

64
third-party/libtommath-1.1.0/bn_mp_mul.c vendored
View file

@ -1,64 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MUL_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* high level multiplication (handles sign) */
int mp_mul(const mp_int *a, const mp_int *b, mp_int *c)
{
int res, neg;
neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG;
/* use Toom-Cook? */
#ifdef BN_MP_TOOM_MUL_C
if (MIN(a->used, b->used) >= TOOM_MUL_CUTOFF) {
res = mp_toom_mul(a, b, c);
} else
#endif
#ifdef BN_MP_KARATSUBA_MUL_C
/* use Karatsuba? */
if (MIN(a->used, b->used) >= KARATSUBA_MUL_CUTOFF) {
res = mp_karatsuba_mul(a, b, c);
} else
#endif
{
/* can we use the fast multiplier?
*
* The fast multiplier can be used if the output will
* have less than MP_WARRAY digits and the number of
* digits won't affect carry propagation
*/
int digs = a->used + b->used + 1;
#ifdef BN_FAST_S_MP_MUL_DIGS_C
if ((digs < (int)MP_WARRAY) &&
(MIN(a->used, b->used) <=
(int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) {
res = fast_s_mp_mul_digs(a, b, c, digs);
} else
#endif
{
#ifdef BN_S_MP_MUL_DIGS_C
res = s_mp_mul(a, b, c); /* uses s_mp_mul_digs */
#else
res = MP_VAL;
#endif
}
}
c->sign = (c->used > 0) ? neg : MP_ZPOS;
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

79
third-party/libtommath-1.1.0/bn_mp_mul_2.c vendored
View file

@ -1,79 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MUL_2_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* b = a*2 */
int mp_mul_2(const mp_int *a, mp_int *b)
{
int x, res, oldused;
/* grow to accomodate result */
if (b->alloc < (a->used + 1)) {
if ((res = mp_grow(b, a->used + 1)) != MP_OKAY) {
return res;
}
}
oldused = b->used;
b->used = a->used;
{
mp_digit r, rr, *tmpa, *tmpb;
/* alias for source */
tmpa = a->dp;
/* alias for dest */
tmpb = b->dp;
/* carry */
r = 0;
for (x = 0; x < a->used; x++) {
/* get what will be the *next* carry bit from the
* MSB of the current digit
*/
rr = *tmpa >> (mp_digit)(DIGIT_BIT - 1);
/* now shift up this digit, add in the carry [from the previous] */
*tmpb++ = ((*tmpa++ << 1uL) | r) & MP_MASK;
/* copy the carry that would be from the source
* digit into the next iteration
*/
r = rr;
}
/* new leading digit? */
if (r != 0u) {
/* add a MSB which is always 1 at this point */
*tmpb = 1;
++(b->used);
}
/* now zero any excess digits on the destination
* that we didn't write to
*/
tmpb = b->dp + b->used;
for (x = b->used; x < oldused; x++) {
*tmpb++ = 0;
}
}
b->sign = a->sign;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

82
third-party/libtommath-1.1.0/bn_mp_mul_2d.c vendored
View file

@ -1,82 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MUL_2D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* shift left by a certain bit count */
int mp_mul_2d(const mp_int *a, int b, mp_int *c)
{
mp_digit d;
int res;
/* copy */
if (a != c) {
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
}
}
if (c->alloc < (c->used + (b / DIGIT_BIT) + 1)) {
if ((res = mp_grow(c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) {
return res;
}
}
/* shift by as many digits in the bit count */
if (b >= DIGIT_BIT) {
if ((res = mp_lshd(c, b / DIGIT_BIT)) != MP_OKAY) {
return res;
}
}
/* shift any bit count < DIGIT_BIT */
d = (mp_digit)(b % DIGIT_BIT);
if (d != 0u) {
mp_digit *tmpc, shift, mask, r, rr;
int x;
/* bitmask for carries */
mask = ((mp_digit)1 << d) - (mp_digit)1;
/* shift for msbs */
shift = (mp_digit)DIGIT_BIT - d;
/* alias */
tmpc = c->dp;
/* carry */
r = 0;
for (x = 0; x < c->used; x++) {
/* get the higher bits of the current word */
rr = (*tmpc >> shift) & mask;
/* shift the current word and OR in the carry */
*tmpc = ((*tmpc << d) | r) & MP_MASK;
++tmpc;
/* set the carry to the carry bits of the current word */
r = rr;
}
/* set final carry */
if (r != 0u) {
c->dp[(c->used)++] = r;
}
}
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

75
third-party/libtommath-1.1.0/bn_mp_mul_d.c vendored
View file

@ -1,75 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MUL_D_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* multiply by a digit */
int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c)
{
mp_digit u, *tmpa, *tmpc;
mp_word r;
int ix, res, olduse;
/* make sure c is big enough to hold a*b */
if (c->alloc < (a->used + 1)) {
if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) {
return res;
}
}
/* get the original destinations used count */
olduse = c->used;
/* set the sign */
c->sign = a->sign;
/* alias for a->dp [source] */
tmpa = a->dp;
/* alias for c->dp [dest] */
tmpc = c->dp;
/* zero carry */
u = 0;
/* compute columns */
for (ix = 0; ix < a->used; ix++) {
/* compute product and carry sum for this term */
r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b);
/* mask off higher bits to get a single digit */
*tmpc++ = (mp_digit)(r & (mp_word)MP_MASK);
/* send carry into next iteration */
u = (mp_digit)(r >> (mp_word)DIGIT_BIT);
}
/* store final carry [if any] and increment ix offset */
*tmpc++ = u;
++ix;
/* now zero digits above the top */
while (ix++ < olduse) {
*tmpc++ = 0;
}
/* set used count */
c->used = a->used + 1;
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

37
third-party/libtommath-1.1.0/bn_mp_mulmod.c vendored
View file

@ -1,37 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_MULMOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* d = a * b (mod c) */
int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d)
{
int res;
mp_int t;
if ((res = mp_init_size(&t, c->used)) != MP_OKAY) {
return res;
}
if ((res = mp_mul(a, b, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
}
res = mp_mod(&t, c, d);
mp_clear(&t);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

27
third-party/libtommath-1.1.0/bn_mp_n_root.c vendored
View file

@ -1,27 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_N_ROOT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* wrapper function for mp_n_root_ex()
* computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a
*/
int mp_n_root(const mp_int *a, mp_digit b, mp_int *c)
{
return mp_n_root_ex(a, b, c, 0);
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

129
third-party/libtommath-1.1.0/bn_mp_n_root_ex.c vendored
View file

@ -1,129 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_N_ROOT_EX_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* find the n'th root of an integer
*
* Result found such that (c)**b <= a and (c+1)**b > a
*
* This algorithm uses Newton's approximation
* x[i+1] = x[i] - f(x[i])/f'(x[i])
* which will find the root in log(N) time where
* each step involves a fair bit. This is not meant to
* find huge roots [square and cube, etc].
*/
int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
{
mp_int t1, t2, t3, a_;
int res;
/* input must be positive if b is even */
if (((b & 1u) == 0u) && (a->sign == MP_NEG)) {
return MP_VAL;
}
if ((res = mp_init(&t1)) != MP_OKAY) {
return res;
}
if ((res = mp_init(&t2)) != MP_OKAY) {
goto LBL_T1;
}
if ((res = mp_init(&t3)) != MP_OKAY) {
goto LBL_T2;
}
/* if a is negative fudge the sign but keep track */
a_ = *a;
a_.sign = MP_ZPOS;
/* t2 = 2 */
mp_set(&t2, 2uL);
do {
/* t1 = t2 */
if ((res = mp_copy(&t2, &t1)) != MP_OKAY) {
goto LBL_T3;
}
/* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */
/* t3 = t1**(b-1) */
if ((res = mp_expt_d_ex(&t1, b - 1u, &t3, fast)) != MP_OKAY) {
goto LBL_T3;
}
/* numerator */
/* t2 = t1**b */
if ((res = mp_mul(&t3, &t1, &t2)) != MP_OKAY) {
goto LBL_T3;
}
/* t2 = t1**b - a */
if ((res = mp_sub(&t2, &a_, &t2)) != MP_OKAY) {
goto LBL_T3;
}
/* denominator */
/* t3 = t1**(b-1) * b */
if ((res = mp_mul_d(&t3, b, &t3)) != MP_OKAY) {
goto LBL_T3;
}
/* t3 = (t1**b - a)/(b * t1**(b-1)) */
if ((res = mp_div(&t2, &t3, &t3, NULL)) != MP_OKAY) {
goto LBL_T3;
}
if ((res = mp_sub(&t1, &t3, &t2)) != MP_OKAY) {
goto LBL_T3;
}
} while (mp_cmp(&t1, &t2) != MP_EQ);
/* result can be off by a few so check */
for (;;) {
if ((res = mp_expt_d_ex(&t1, b, &t2, fast)) != MP_OKAY) {
goto LBL_T3;
}
if (mp_cmp(&t2, &a_) == MP_GT) {
if ((res = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) {
goto LBL_T3;
}
} else {
break;
}
}
/* set the result */
mp_exch(&t1, c);
/* set the sign of the result */
c->sign = a->sign;
res = MP_OKAY;
LBL_T3:
mp_clear(&t3);
LBL_T2:
mp_clear(&t2);
LBL_T1:
mp_clear(&t1);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

37
third-party/libtommath-1.1.0/bn_mp_neg.c vendored
View file

@ -1,37 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_NEG_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* b = -a */
int mp_neg(const mp_int *a, mp_int *b)
{
int res;
if (a != b) {
if ((res = mp_copy(a, b)) != MP_OKAY) {
return res;
}
}
if (mp_iszero(b) != MP_YES) {
b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS;
} else {
b->sign = MP_ZPOS;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

48
third-party/libtommath-1.1.0/bn_mp_or.c vendored
View file

@ -1,48 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_OR_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* OR two ints together */
int mp_or(const mp_int *a, const mp_int *b, mp_int *c)
{
int res, ix, px;
mp_int t;
const mp_int *x;
if (a->used > b->used) {
if ((res = mp_init_copy(&t, a)) != MP_OKAY) {
return res;
}
px = b->used;
x = b;
} else {
if ((res = mp_init_copy(&t, b)) != MP_OKAY) {
return res;
}
px = a->used;
x = a;
}
for (ix = 0; ix < px; ix++) {
t.dp[ix] |= x->dp[ix];
}
mp_clamp(&t);
mp_exch(c, &t);
mp_clear(&t);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

60
third-party/libtommath-1.1.0/bn_mp_prime_fermat.c vendored
View file

@ -1,60 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_FERMAT_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* performs one Fermat test.
*
* If "a" were prime then b**a == b (mod a) since the order of
* the multiplicative sub-group would be phi(a) = a-1. That means
* it would be the same as b**(a mod (a-1)) == b**1 == b (mod a).
*
* Sets result to 1 if the congruence holds, or zero otherwise.
*/
int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result)
{
mp_int t;
int err;
/* default to composite */
*result = MP_NO;
/* ensure b > 1 */
if (mp_cmp_d(b, 1uL) != MP_GT) {
return MP_VAL;
}
/* init t */
if ((err = mp_init(&t)) != MP_OKAY) {
return err;
}
/* compute t = b**a mod a */
if ((err = mp_exptmod(b, a, a, &t)) != MP_OKAY) {
goto LBL_T;
}
/* is it equal to b? */
if (mp_cmp(&t, b) == MP_EQ) {
*result = MP_YES;
}
err = MP_OKAY;
LBL_T:
mp_clear(&t);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

198
third-party/libtommath-1.1.0/bn_mp_prime_frobenius_underwood.c vendored
View file

@ -1,198 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_FROBENIUS_UNDERWOOD_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.
*
* SPDX-License-Identifier: Unlicense
*/
/*
* See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details
*/
#ifndef LTM_USE_FIPS_ONLY
#ifdef MP_8BIT
/*
* floor of positive solution of
* (2^16)-1 = (a+4)*(2*a+5)
* TODO: Both values are smaller than N^(1/4), would have to use a bigint
* for a instead but any a biger than about 120 are already so rare that
* it is possible to ignore them and still get enough pseudoprimes.
* But it is still a restriction of the set of available pseudoprimes
* which makes this implementation less secure if used stand-alone.
*/
#define LTM_FROBENIUS_UNDERWOOD_A 177
#else
#define LTM_FROBENIUS_UNDERWOOD_A 32764
#endif
int mp_prime_frobenius_underwood(const mp_int *N, int *result)
{
mp_int T1z, T2z, Np1z, sz, tz;
int a, ap2, length, i, j, isset;
int e;
*result = MP_NO;
if ((e = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) {
return e;
}
for (a = 0; a < LTM_FROBENIUS_UNDERWOOD_A; a++) {
/* TODO: That's ugly! No, really, it is! */
if ((a==2) || (a==4) || (a==7) || (a==8) || (a==10) ||
(a==14) || (a==18) || (a==23) || (a==26) || (a==28)) {
continue;
}
/* (32764^2 - 4) < 2^31, no bigint for >MP_8BIT needed) */
if ((e = mp_set_long(&T1z, (unsigned long)a)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_sqr(&T1z, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_kronecker(&T1z, N, &j)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if (j == -1) {
break;
}
if (j == 0) {
/* composite */
goto LBL_FU_ERR;
}
}
/* Tell it a composite and set return value accordingly */
if (a >= LTM_FROBENIUS_UNDERWOOD_A) {
e = MP_ITER;
goto LBL_FU_ERR;
}
/* Composite if N and (a+4)*(2*a+5) are not coprime */
if ((e = mp_set_long(&T1z, (unsigned long)((a+4)*((2*a)+5)))) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) {
goto LBL_FU_ERR;
}
ap2 = a + 2;
if ((e = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
mp_set(&sz, 1uL);
mp_set(&tz, 2uL);
length = mp_count_bits(&Np1z);
for (i = length - 2; i >= 0; i--) {
/*
* temp = (sz*(a*sz+2*tz))%N;
* tz = ((tz-sz)*(tz+sz))%N;
* sz = temp;
*/
if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
/* a = 0 at about 50% of the cases (non-square and odd input) */
if (a != 0) {
if ((e = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
}
if ((e = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_add(&sz, &tz, &sz)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_mod(&tz, N, &tz)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_mod(&T1z, N, &sz)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((isset = mp_get_bit(&Np1z, i)) == MP_VAL) {
e = isset;
goto LBL_FU_ERR;
}
if (isset == MP_YES) {
/*
* temp = (a+2) * sz + tz
* tz = 2 * tz - sz
* sz = temp
*/
if (a == 0) {
if ((e = mp_mul_2(&sz, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
} else {
if ((e = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
}
if ((e = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) {
goto LBL_FU_ERR;
}
mp_exch(&sz, &T1z);
}
}
if ((e = mp_set_long(&T1z, (unsigned long)((2 * a) + 5))) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((e = mp_mod(&T1z, N, &T1z)) != MP_OKAY) {
goto LBL_FU_ERR;
}
if ((mp_iszero(&sz) != MP_NO) && (mp_cmp(&tz, &T1z) == MP_EQ)) {
*result = MP_YES;
goto LBL_FU_ERR;
}
LBL_FU_ERR:
mp_clear_multi(&tz, &sz, &Np1z, &T2z, &T1z, NULL);
return e;
}
#endif
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

47
third-party/libtommath-1.1.0/bn_mp_prime_is_divisible.c vendored
View file

@ -1,47 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_IS_DIVISIBLE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* determines if an integers is divisible by one
* of the first PRIME_SIZE primes or not
*
* sets result to 0 if not, 1 if yes
*/
int mp_prime_is_divisible(const mp_int *a, int *result)
{
int err, ix;
mp_digit res;
/* default to not */
*result = MP_NO;
for (ix = 0; ix < PRIME_SIZE; ix++) {
/* what is a mod LBL_prime_tab[ix] */
if ((err = mp_mod_d(a, ltm_prime_tab[ix], &res)) != MP_OKAY) {
return err;
}
/* is the residue zero? */
if (res == 0u) {
*result = MP_YES;
return MP_OKAY;
}
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

370
third-party/libtommath-1.1.0/bn_mp_prime_is_prime.c vendored
View file

@ -1,370 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_IS_PRIME_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* portable integer log of two with small footprint */
static unsigned int s_floor_ilog2(int value)
{
unsigned int r = 0;
while ((value >>= 1) != 0) {
r++;
}
return r;
}
int mp_prime_is_prime(const mp_int *a, int t, int *result)
{
mp_int b;
int ix, err, res, p_max = 0, size_a, len;
unsigned int fips_rand, mask;
/* default to no */
*result = MP_NO;
/* valid value of t? */
if (t > PRIME_SIZE) {
return MP_VAL;
}
/* Some shortcuts */
/* N > 3 */
if (a->used == 1) {
if ((a->dp[0] == 0u) || (a->dp[0] == 1u)) {
*result = 0;
return MP_OKAY;
}
if (a->dp[0] == 2u) {
*result = 1;
return MP_OKAY;
}
}
/* N must be odd */
if (mp_iseven(a) == MP_YES) {
return MP_OKAY;
}
/* N is not a perfect square: floor(sqrt(N))^2 != N */
if ((err = mp_is_square(a, &res)) != MP_OKAY) {
return err;
}
if (res != 0) {
return MP_OKAY;
}
/* is the input equal to one of the primes in the table? */
for (ix = 0; ix < PRIME_SIZE; ix++) {
if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) {
*result = MP_YES;
return MP_OKAY;
}
}
#ifdef MP_8BIT
/* The search in the loop above was exhaustive in this case */
if ((a->used == 1) && (PRIME_SIZE >= 31)) {
return MP_OKAY;
}
#endif
/* first perform trial division */
if ((err = mp_prime_is_divisible(a, &res)) != MP_OKAY) {
return err;
}
/* return if it was trivially divisible */
if (res == MP_YES) {
return MP_OKAY;
}
/*
Run the Miller-Rabin test with base 2 for the BPSW test.
*/
if ((err = mp_init_set(&b, 2uL)) != MP_OKAY) {
return err;
}
if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
/*
Rumours have it that Mathematica does a second M-R test with base 3.
Other rumours have it that their strong L-S test is slightly different.
It does not hurt, though, beside a bit of extra runtime.
*/
b.dp[0]++;
if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
/*
* Both, the Frobenius-Underwood test and the the Lucas-Selfridge test are quite
* slow so if speed is an issue, define LTM_USE_FIPS_ONLY to use M-R tests with
* bases 2, 3 and t random bases.
*/
#ifndef LTM_USE_FIPS_ONLY
if (t >= 0) {
/*
* Use a Frobenius-Underwood test instead of the Lucas-Selfridge test for
* MP_8BIT (It is unknown if the Lucas-Selfridge test works with 16-bit
* integers but the necesssary analysis is on the todo-list).
*/
#if defined (MP_8BIT) || defined (LTM_USE_FROBENIUS_TEST)
err = mp_prime_frobenius_underwood(a, &res);
if ((err != MP_OKAY) && (err != MP_ITER)) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
#else
if ((err = mp_prime_strong_lucas_selfridge(a, &res)) != MP_OKAY) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
#endif
}
#endif
/* run at least one Miller-Rabin test with a random base */
if (t == 0) {
t = 1;
}
/*
abs(t) extra rounds of M-R to extend the range of primes it can find if t < 0.
Only recommended if the input range is known to be < 3317044064679887385961981
It uses the bases for a deterministic M-R test if input < 3317044064679887385961981
The caller has to check the size.
Not for cryptographic use because with known bases strong M-R pseudoprimes can
be constructed. Use at least one M-R test with a random base (t >= 1).
The 1119 bit large number
80383745745363949125707961434194210813883768828755814583748891752229742737653\
33652186502336163960045457915042023603208766569966760987284043965408232928738\
79185086916685732826776177102938969773947016708230428687109997439976544144845\
34115587245063340927902227529622941498423068816854043264575340183297861112989\
60644845216191652872597534901
has been constructed by F. Arnault (F. Arnault, "Rabin-Miller primality test:
composite numbers which pass it.", Mathematics of Computation, 1995, 64. Jg.,
Nr. 209, S. 355-361), is a semiprime with the two factors
40095821663949960541830645208454685300518816604113250877450620473800321707011\
96242716223191597219733582163165085358166969145233813917169287527980445796800\
452592031836601
20047910831974980270915322604227342650259408302056625438725310236900160853505\
98121358111595798609866791081582542679083484572616906958584643763990222898400\
226296015918301
and it is a strong pseudoprime to all forty-six prime M-R bases up to 200
It does not fail the strong Bailley-PSP test as implemented here, it is just
given as an example, if not the reason to use the BPSW-test instead of M-R-tests
with a sequence of primes 2...n.
*/
if (t < 0) {
t = -t;
/*
Sorenson, Jonathan; Webster, Jonathan (2015).
"Strong Pseudoprimes to Twelve Prime Bases".
*/
/* 0x437ae92817f9fc85b7e5 = 318665857834031151167461 */
if ((err = mp_read_radix(&b, "437ae92817f9fc85b7e5", 16)) != MP_OKAY) {
goto LBL_B;
}
if (mp_cmp(a, &b) == MP_LT) {
p_max = 12;
} else {
/* 0x2be6951adc5b22410a5fd = 3317044064679887385961981 */
if ((err = mp_read_radix(&b, "2be6951adc5b22410a5fd", 16)) != MP_OKAY) {
goto LBL_B;
}
if (mp_cmp(a, &b) == MP_LT) {
p_max = 13;
} else {
err = MP_VAL;
goto LBL_B;
}
}
/* for compatibility with the current API (well, compatible within a sign's width) */
if (p_max < t) {
p_max = t;
}
if (p_max > PRIME_SIZE) {
err = MP_VAL;
goto LBL_B;
}
/* we did bases 2 and 3 already, skip them */
for (ix = 2; ix < p_max; ix++) {
mp_set(&b, ltm_prime_tab[ix]);
if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
}
}
/*
Do "t" M-R tests with random bases between 3 and "a".
See Fips 186.4 p. 126ff
*/
else if (t > 0) {
/*
* The mp_digit's have a defined bit-size but the size of the
* array a.dp is a simple 'int' and this library can not assume full
* compliance to the current C-standard (ISO/IEC 9899:2011) because
* it gets used for small embeded processors, too. Some of those MCUs
* have compilers that one cannot call standard compliant by any means.
* Hence the ugly type-fiddling in the following code.
*/
size_a = mp_count_bits(a);
mask = (1u << s_floor_ilog2(size_a)) - 1u;
/*
Assuming the General Rieman hypothesis (never thought to write that in a
comment) the upper bound can be lowered to 2*(log a)^2.
E. Bach, "Explicit bounds for primality testing and related problems,"
Math. Comp. 55 (1990), 355-380.
size_a = (size_a/10) * 7;
len = 2 * (size_a * size_a);
E.g.: a number of size 2^2048 would be reduced to the upper limit
floor(2048/10)*7 = 1428
2 * 1428^2 = 4078368
(would have been ~4030331.9962 with floats and natural log instead)
That number is smaller than 2^28, the default bit-size of mp_digit.
*/
/*
How many tests, you might ask? Dana Jacobsen of Math::Prime::Util fame
does exactly 1. In words: one. Look at the end of _GMP_is_prime() in
Math-Prime-Util-GMP-0.50/primality.c if you do not believe it.
The function mp_rand() goes to some length to use a cryptographically
good PRNG. That also means that the chance to always get the same base
in the loop is non-zero, although very low.
If the BPSW test and/or the addtional Frobenious test have been
performed instead of just the Miller-Rabin test with the bases 2 and 3,
a single extra test should suffice, so such a very unlikely event
will not do much harm.
To preemptivly answer the dangling question: no, a witness does not
need to be prime.
*/
for (ix = 0; ix < t; ix++) {
/* mp_rand() guarantees the first digit to be non-zero */
if ((err = mp_rand(&b, 1)) != MP_OKAY) {
goto LBL_B;
}
/*
* Reduce digit before casting because mp_digit might be bigger than
* an unsigned int and "mask" on the other side is most probably not.
*/
fips_rand = (unsigned int)(b.dp[0] & (mp_digit) mask);
#ifdef MP_8BIT
/*
* One 8-bit digit is too small, so concatenate two if the size of
* unsigned int allows for it.
*/
if (((sizeof(unsigned int) * CHAR_BIT)/2) >= (sizeof(mp_digit) * CHAR_BIT)) {
if ((err = mp_rand(&b, 1)) != MP_OKAY) {
goto LBL_B;
}
fips_rand <<= sizeof(mp_digit) * CHAR_BIT;
fips_rand |= (unsigned int) b.dp[0];
fips_rand &= mask;
}
#endif
if (fips_rand > (unsigned int)(INT_MAX - DIGIT_BIT)) {
len = INT_MAX / DIGIT_BIT;
} else {
len = (((int)fips_rand + DIGIT_BIT) / DIGIT_BIT);
}
/* Unlikely. */
if (len < 0) {
ix--;
continue;
}
/*
* As mentioned above, one 8-bit digit is too small and
* although it can only happen in the unlikely case that
* an "unsigned int" is smaller than 16 bit a simple test
* is cheap and the correction even cheaper.
*/
#ifdef MP_8BIT
/* All "a" < 2^8 have been caught before */
if (len == 1) {
len++;
}
#endif
if ((err = mp_rand(&b, len)) != MP_OKAY) {
goto LBL_B;
}
/*
* That number might got too big and the witness has to be
* smaller than or equal to "a"
*/
len = mp_count_bits(&b);
if (len > size_a) {
len = len - size_a;
if ((err = mp_div_2d(&b, len, &b, NULL)) != MP_OKAY) {
goto LBL_B;
}
}
/* Although the chance for b <= 3 is miniscule, try again. */
if (mp_cmp_d(&b, 3uL) != MP_GT) {
ix--;
continue;
}
if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
goto LBL_B;
}
if (res == MP_NO) {
goto LBL_B;
}
}
}
/* passed the test */
*result = MP_YES;
LBL_B:
mp_clear(&b);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

103
third-party/libtommath-1.1.0/bn_mp_prime_miller_rabin.c vendored
View file

@ -1,103 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_MILLER_RABIN_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* Miller-Rabin test of "a" to the base of "b" as described in
* HAC pp. 139 Algorithm 4.24
*
* Sets result to 0 if definitely composite or 1 if probably prime.
* Randomly the chance of error is no more than 1/4 and often
* very much lower.
*/
int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result)
{
mp_int n1, y, r;
int s, j, err;
/* default */
*result = MP_NO;
/* ensure b > 1 */
if (mp_cmp_d(b, 1uL) != MP_GT) {
return MP_VAL;
}
/* get n1 = a - 1 */
if ((err = mp_init_copy(&n1, a)) != MP_OKAY) {
return err;
}
if ((err = mp_sub_d(&n1, 1uL, &n1)) != MP_OKAY) {
goto LBL_N1;
}
/* set 2**s * r = n1 */
if ((err = mp_init_copy(&r, &n1)) != MP_OKAY) {
goto LBL_N1;
}
/* count the number of least significant bits
* which are zero
*/
s = mp_cnt_lsb(&r);
/* now divide n - 1 by 2**s */
if ((err = mp_div_2d(&r, s, &r, NULL)) != MP_OKAY) {
goto LBL_R;
}
/* compute y = b**r mod a */
if ((err = mp_init(&y)) != MP_OKAY) {
goto LBL_R;
}
if ((err = mp_exptmod(b, &r, a, &y)) != MP_OKAY) {
goto LBL_Y;
}
/* if y != 1 and y != n1 do */
if ((mp_cmp_d(&y, 1uL) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) {
j = 1;
/* while j <= s-1 and y != n1 */
while ((j <= (s - 1)) && (mp_cmp(&y, &n1) != MP_EQ)) {
if ((err = mp_sqrmod(&y, a, &y)) != MP_OKAY) {
goto LBL_Y;
}
/* if y == 1 then composite */
if (mp_cmp_d(&y, 1uL) == MP_EQ) {
goto LBL_Y;
}
++j;
}
/* if y != n1 then composite */
if (mp_cmp(&y, &n1) != MP_EQ) {
goto LBL_Y;
}
}
/* probably prime now */
*result = MP_YES;
LBL_Y:
mp_clear(&y);
LBL_R:
mp_clear(&r);
LBL_N1:
mp_clear(&n1);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

156
third-party/libtommath-1.1.0/bn_mp_prime_next_prime.c vendored
View file

@ -1,156 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_NEXT_PRIME_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* finds the next prime after the number "a" using "t" trials
* of Miller-Rabin.
*
* bbs_style = 1 means the prime must be congruent to 3 mod 4
*/
int mp_prime_next_prime(mp_int *a, int t, int bbs_style)
{
int err, res = MP_NO, x, y;
mp_digit res_tab[PRIME_SIZE], step, kstep;
mp_int b;
/* force positive */
a->sign = MP_ZPOS;
/* simple algo if a is less than the largest prime in the table */
if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) {
/* find which prime it is bigger than */
for (x = PRIME_SIZE - 2; x >= 0; x--) {
if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) {
if (bbs_style == 1) {
/* ok we found a prime smaller or
* equal [so the next is larger]
*
* however, the prime must be
* congruent to 3 mod 4
*/
if ((ltm_prime_tab[x + 1] & 3u) != 3u) {
/* scan upwards for a prime congruent to 3 mod 4 */
for (y = x + 1; y < PRIME_SIZE; y++) {
if ((ltm_prime_tab[y] & 3u) == 3u) {
mp_set(a, ltm_prime_tab[y]);
return MP_OKAY;
}
}
}
} else {
mp_set(a, ltm_prime_tab[x + 1]);
return MP_OKAY;
}
}
}
/* at this point a maybe 1 */
if (mp_cmp_d(a, 1uL) == MP_EQ) {
mp_set(a, 2uL);
return MP_OKAY;
}
/* fall through to the sieve */
}
/* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */
if (bbs_style == 1) {
kstep = 4;
} else {
kstep = 2;
}
/* at this point we will use a combination of a sieve and Miller-Rabin */
if (bbs_style == 1) {
/* if a mod 4 != 3 subtract the correct value to make it so */
if ((a->dp[0] & 3u) != 3u) {
if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) {
return err;
};
}
} else {
if (mp_iseven(a) == MP_YES) {
/* force odd */
if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) {
return err;
}
}
}
/* generate the restable */
for (x = 1; x < PRIME_SIZE; x++) {
if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) {
return err;
}
}
/* init temp used for Miller-Rabin Testing */
if ((err = mp_init(&b)) != MP_OKAY) {
return err;
}
for (;;) {
/* skip to the next non-trivially divisible candidate */
step = 0;
do {
/* y == 1 if any residue was zero [e.g. cannot be prime] */
y = 0;
/* increase step to next candidate */
step += kstep;
/* compute the new residue without using division */
for (x = 1; x < PRIME_SIZE; x++) {
/* add the step to each residue */
res_tab[x] += kstep;
/* subtract the modulus [instead of using division] */
if (res_tab[x] >= ltm_prime_tab[x]) {
res_tab[x] -= ltm_prime_tab[x];
}
/* set flag if zero */
if (res_tab[x] == 0u) {
y = 1;
}
}
} while ((y == 1) && (step < (((mp_digit)1 << DIGIT_BIT) - kstep)));
/* add the step */
if ((err = mp_add_d(a, step, a)) != MP_OKAY) {
goto LBL_ERR;
}
/* if didn't pass sieve and step == MAX then skip test */
if ((y == 1) && (step >= (((mp_digit)1 << DIGIT_BIT) - kstep))) {
continue;
}
if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
goto LBL_ERR;
}
if (res == MP_YES) {
break;
}
}
err = MP_OKAY;
LBL_ERR:
mp_clear(&b);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

56
third-party/libtommath-1.1.0/bn_mp_prime_rabin_miller_trials.c vendored
View file

@ -1,56 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_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.
*
* SPDX-License-Identifier: Unlicense
*/
static const struct {
int k, t;
} sizes[] = {
{ 80, -1 }, /* Use deterministic algorithm for size <= 80 bits */
{ 81, 39 },
{ 96, 37 },
{ 128, 32 },
{ 160, 27 },
{ 192, 21 },
{ 256, 16 },
{ 384, 10 },
{ 512, 7 },
{ 640, 6 },
{ 768, 5 },
{ 896, 4 },
{ 1024, 4 },
{ 2048, 2 },
{ 4096, 1 },
};
/* returns # of RM trials required for a given bit size and max. error of 2^(-96)*/
int mp_prime_rabin_miller_trials(int size)
{
int x;
for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) {
if (sizes[x].k == size) {
return sizes[x].t;
} else if (sizes[x].k > size) {
return (x == 0) ? sizes[0].t : sizes[x - 1].t;
}
}
return sizes[x-1].t + 1;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

135
third-party/libtommath-1.1.0/bn_mp_prime_random_ex.c vendored
View file

@ -1,135 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_RANDOM_EX_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* makes a truly random prime of a given size (bits),
*
* Flags are as follows:
*
* LTM_PRIME_BBS - make prime congruent to 3 mod 4
* LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
* LTM_PRIME_2MSB_ON - make the 2nd highest bit one
*
* You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
* have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
* so it can be NULL
*
*/
/* This is possibly the mother of all prime generation functions, muahahahahaha! */
int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat)
{
unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb;
int res, err, bsize, maskOR_msb_offset;
/* sanity check the input */
if ((size <= 1) || (t <= 0)) {
return MP_VAL;
}
/* LTM_PRIME_SAFE implies LTM_PRIME_BBS */
if ((flags & LTM_PRIME_SAFE) != 0) {
flags |= LTM_PRIME_BBS;
}
/* calc the byte size */
bsize = (size>>3) + ((size&7)?1:0);
/* we need a buffer of bsize bytes */
tmp = OPT_CAST(unsigned char) XMALLOC((size_t)bsize);
if (tmp == NULL) {
return MP_MEM;
}
/* calc the maskAND value for the MSbyte*/
maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7)));
/* calc the maskOR_msb */
maskOR_msb = 0;
maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0;
if ((flags & LTM_PRIME_2MSB_ON) != 0) {
maskOR_msb |= 0x80 >> ((9 - size) & 7);
}
/* get the maskOR_lsb */
maskOR_lsb = 1;
if ((flags & LTM_PRIME_BBS) != 0) {
maskOR_lsb |= 3;
}
do {
/* read the bytes */
if (cb(tmp, bsize, dat) != bsize) {
err = MP_VAL;
goto error;
}
/* work over the MSbyte */
tmp[0] &= maskAND;
tmp[0] |= 1 << ((size - 1) & 7);
/* mix in the maskORs */
tmp[maskOR_msb_offset] |= maskOR_msb;
tmp[bsize-1] |= maskOR_lsb;
/* read it in */
if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) {
goto error;
}
/* is it prime? */
if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
goto error;
}
if (res == MP_NO) {
continue;
}
if ((flags & LTM_PRIME_SAFE) != 0) {
/* see if (a-1)/2 is prime */
if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) {
goto error;
}
if ((err = mp_div_2(a, a)) != MP_OKAY) {
goto error;
}
/* is it prime? */
if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) {
goto error;
}
}
} while (res == MP_NO);
if ((flags & LTM_PRIME_SAFE) != 0) {
/* restore a to the original value */
if ((err = mp_mul_2(a, a)) != MP_OKAY) {
goto error;
}
if ((err = mp_add_d(a, 1uL, a)) != MP_OKAY) {
goto error;
}
}
err = MP_OKAY;
error:
XFREE(tmp);
return err;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

411
third-party/libtommath-1.1.0/bn_mp_prime_strong_lucas_selfridge.c vendored
View file

@ -1,411 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/*
* See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details
*/
#ifndef LTM_USE_FIPS_ONLY
/*
* 8-bit is just too small. You can try the Frobenius test
* but that frobenius test can fail, too, for the same reason.
*/
#ifndef MP_8BIT
/*
* multiply bigint a with int d and put the result in c
* Like mp_mul_d() but with a signed long as the small input
*/
static int s_mp_mul_si(const mp_int *a, long d, mp_int *c)
{
mp_int t;
int err, neg = 0;
if ((err = mp_init(&t)) != MP_OKAY) {
return err;
}
if (d < 0) {
neg = 1;
d = -d;
}
/*
* mp_digit might be smaller than a long, which excludes
* the use of mp_mul_d() here.
*/
if ((err = mp_set_long(&t, (unsigned long) d)) != MP_OKAY) {
goto LBL_MPMULSI_ERR;
}
if ((err = mp_mul(a, &t, c)) != MP_OKAY) {
goto LBL_MPMULSI_ERR;
}
if (neg == 1) {
c->sign = (a->sign == MP_NEG) ? MP_ZPOS: MP_NEG;
}
LBL_MPMULSI_ERR:
mp_clear(&t);
return err;
}
/*
Strong Lucas-Selfridge test.
returns MP_YES if it is a strong L-S prime, MP_NO if it is composite
Code ported from Thomas Ray Nicely's implementation of the BPSW test
at http://www.trnicely.net/misc/bpsw.html
Freeware copyright (C) 2016 Thomas R. Nicely <http://www.trnicely.net>.
Released into the public domain by the author, who disclaims any legal
liability arising from its use
The multi-line comments are made by Thomas R. Nicely and are copied verbatim.
Additional comments marked "CZ" (without the quotes) are by the code-portist.
(If that name sounds familiar, he is the guy who found the fdiv bug in the
Pentium (P5x, I think) Intel processor)
*/
int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result)
{
/* CZ TODO: choose better variable names! */
mp_int Dz, gcd, Np1, Uz, Vz, U2mz, V2mz, Qmz, Q2mz, Qkdz, T1z, T2z, T3z, T4z, Q2kdz;
/* CZ TODO: Some of them need the full 32 bit, hence the (temporary) exclusion of MP_8BIT */
int32_t D, Ds, J, sign, P, Q, r, s, u, Nbits;
int e;
int isset, oddness;
*result = MP_NO;
/*
Find the first element D in the sequence {5, -7, 9, -11, 13, ...}
such that Jacobi(D,N) = -1 (Selfridge's algorithm). Theory
indicates that, if N is not a perfect square, D will "nearly
always" be "small." Just in case, an overflow trap for D is
included.
*/
if ((e = mp_init_multi(&Dz, &gcd, &Np1, &Uz, &Vz, &U2mz, &V2mz, &Qmz, &Q2mz, &Qkdz, &T1z, &T2z, &T3z, &T4z, &Q2kdz,
NULL)) != MP_OKAY) {
return e;
}
D = 5;
sign = 1;
for (;;) {
Ds = sign * D;
sign = -sign;
if ((e = mp_set_long(&Dz, (unsigned long)D)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_gcd(a, &Dz, &gcd)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* if 1 < GCD < N then N is composite with factor "D", and
Jacobi(D,N) is technically undefined (but often returned
as zero). */
if ((mp_cmp_d(&gcd, 1uL) == MP_GT) && (mp_cmp(&gcd, a) == MP_LT)) {
goto LBL_LS_ERR;
}
if (Ds < 0) {
Dz.sign = MP_NEG;
}
if ((e = mp_kronecker(&Dz, a, &J)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if (J == -1) {
break;
}
D += 2;
if (D > (INT_MAX - 2)) {
e = MP_VAL;
goto LBL_LS_ERR;
}
}
P = 1; /* Selfridge's choice */
Q = (1 - Ds) / 4; /* Required so D = P*P - 4*Q */
/* NOTE: The conditions (a) N does not divide Q, and
(b) D is square-free or not a perfect square, are included by
some authors; e.g., "Prime numbers and computer methods for
factorization," Hans Riesel (2nd ed., 1994, Birkhauser, Boston),
p. 130. For this particular application of Lucas sequences,
these conditions were found to be immaterial. */
/* Now calculate N - Jacobi(D,N) = N + 1 (even), and calculate the
odd positive integer d and positive integer s for which
N + 1 = 2^s*d (similar to the step for N - 1 in Miller's test).
The strong Lucas-Selfridge test then returns N as a strong
Lucas probable prime (slprp) if any of the following
conditions is met: U_d=0, V_d=0, V_2d=0, V_4d=0, V_8d=0,
V_16d=0, ..., etc., ending with V_{2^(s-1)*d}=V_{(N+1)/2}=0
(all equalities mod N). Thus d is the highest index of U that
must be computed (since V_2m is independent of U), compared
to U_{N+1} for the standard Lucas-Selfridge test; and no
index of V beyond (N+1)/2 is required, just as in the
standard Lucas-Selfridge test. However, the quantity Q^d must
be computed for use (if necessary) in the latter stages of
the test. The result is that the strong Lucas-Selfridge test
has a running time only slightly greater (order of 10 %) than
that of the standard Lucas-Selfridge test, while producing
only (roughly) 30 % as many pseudoprimes (and every strong
Lucas pseudoprime is also a standard Lucas pseudoprime). Thus
the evidence indicates that the strong Lucas-Selfridge test is
more effective than the standard Lucas-Selfridge test, and a
Baillie-PSW test based on the strong Lucas-Selfridge test
should be more reliable. */
if ((e = mp_add_d(a, 1uL, &Np1)) != MP_OKAY) {
goto LBL_LS_ERR;
}
s = mp_cnt_lsb(&Np1);
/* CZ
* This should round towards zero because
* Thomas R. Nicely used GMP's mpz_tdiv_q_2exp()
* and mp_div_2d() is equivalent. Additionally:
* dividing an even number by two does not produce
* any leftovers.
*/
if ((e = mp_div_2d(&Np1, s, &Dz, NULL)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* We must now compute U_d and V_d. Since d is odd, the accumulated
values U and V are initialized to U_1 and V_1 (if the target
index were even, U and V would be initialized instead to U_0=0
and V_0=2). The values of U_2m and V_2m are also initialized to
U_1 and V_1; the FOR loop calculates in succession U_2 and V_2,
U_4 and V_4, U_8 and V_8, etc. If the corresponding bits
(1, 2, 3, ...) of t are on (the zero bit having been accounted
for in the initialization of U and V), these values are then
combined with the previous totals for U and V, using the
composition formulas for addition of indices. */
mp_set(&Uz, 1uL); /* U=U_1 */
mp_set(&Vz, (mp_digit)P); /* V=V_1 */
mp_set(&U2mz, 1uL); /* U_1 */
mp_set(&V2mz, (mp_digit)P); /* V_1 */
if (Q < 0) {
Q = -Q;
if ((e = mp_set_long(&Qmz, (unsigned long)Q)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* Initializes calculation of Q^d */
if ((e = mp_set_long(&Qkdz, (unsigned long)Q)) != MP_OKAY) {
goto LBL_LS_ERR;
}
Qmz.sign = MP_NEG;
Q2mz.sign = MP_NEG;
Qkdz.sign = MP_NEG;
Q = -Q;
} else {
if ((e = mp_set_long(&Qmz, (unsigned long)Q)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* Initializes calculation of Q^d */
if ((e = mp_set_long(&Qkdz, (unsigned long)Q)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
Nbits = mp_count_bits(&Dz);
for (u = 1; u < Nbits; u++) { /* zero bit off, already accounted for */
/* Formulas for doubling of indices (carried out mod N). Note that
* the indices denoted as "2m" are actually powers of 2, specifically
* 2^(ul-1) beginning each loop and 2^ul ending each loop.
*
* U_2m = U_m*V_m
* V_2m = V_m*V_m - 2*Q^m
*/
if ((e = mp_mul(&U2mz, &V2mz, &U2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&U2mz, a, &U2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_sqr(&V2mz, &V2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_sub(&V2mz, &Q2mz, &V2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&V2mz, a, &V2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* Must calculate powers of Q for use in V_2m, also for Q^d later */
if ((e = mp_sqr(&Qmz, &Qmz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* prevents overflow */ /* CZ still necessary without a fixed prealloc'd mem.? */
if ((e = mp_mod(&Qmz, a, &Qmz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul_2(&Qmz, &Q2mz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((isset = mp_get_bit(&Dz, u)) == MP_VAL) {
e = isset;
goto LBL_LS_ERR;
}
if (isset == MP_YES) {
/* Formulas for addition of indices (carried out mod N);
*
* U_(m+n) = (U_m*V_n + U_n*V_m)/2
* V_(m+n) = (V_m*V_n + D*U_m*U_n)/2
*
* Be careful with division by 2 (mod N)!
*/
if ((e = mp_mul(&U2mz, &Vz, &T1z)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul(&Uz, &V2mz, &T2z)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul(&V2mz, &Vz, &T3z)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul(&U2mz, &Uz, &T4z)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = s_mp_mul_si(&T4z, (long)Ds, &T4z)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_add(&T1z, &T2z, &Uz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if (mp_isodd(&Uz) != MP_NO) {
if ((e = mp_add(&Uz, a, &Uz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
/* CZ
* This should round towards negative infinity because
* Thomas R. Nicely used GMP's mpz_fdiv_q_2exp().
* But mp_div_2() does not do so, it is truncating instead.
*/
oddness = mp_isodd(&Uz);
if ((e = mp_div_2(&Uz, &Uz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((Uz.sign == MP_NEG) && (oddness != MP_NO)) {
if ((e = mp_sub_d(&Uz, 1uL, &Uz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
if ((e = mp_add(&T3z, &T4z, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if (mp_isodd(&Vz) != MP_NO) {
if ((e = mp_add(&Vz, a, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
oddness = mp_isodd(&Vz);
if ((e = mp_div_2(&Vz, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((Vz.sign == MP_NEG) && (oddness != MP_NO)) {
if ((e = mp_sub_d(&Vz, 1uL, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
if ((e = mp_mod(&Uz, a, &Uz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&Vz, a, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
/* Calculating Q^d for later use */
if ((e = mp_mul(&Qkdz, &Qmz, &Qkdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
}
/* If U_d or V_d is congruent to 0 mod N, then N is a prime or a
strong Lucas pseudoprime. */
if ((mp_iszero(&Uz) != MP_NO) || (mp_iszero(&Vz) != MP_NO)) {
*result = MP_YES;
goto LBL_LS_ERR;
}
/* NOTE: Ribenboim ("The new book of prime number records," 3rd ed.,
1995/6) omits the condition V0 on p.142, but includes it on
p. 130. The condition is NECESSARY; otherwise the test will
return false negatives---e.g., the primes 29 and 2000029 will be
returned as composite. */
/* Otherwise, we must compute V_2d, V_4d, V_8d, ..., V_{2^(s-1)*d}
by repeated use of the formula V_2m = V_m*V_m - 2*Q^m. If any of
these are congruent to 0 mod N, then N is a prime or a strong
Lucas pseudoprime. */
/* Initialize 2*Q^(d*2^r) for V_2m */
if ((e = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
for (r = 1; r < s; r++) {
if ((e = mp_sqr(&Vz, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_sub(&Vz, &Q2kdz, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&Vz, a, &Vz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if (mp_iszero(&Vz) != MP_NO) {
*result = MP_YES;
goto LBL_LS_ERR;
}
/* Calculate Q^{d*2^r} for next r (final iteration irrelevant). */
if (r < (s - 1)) {
if ((e = mp_sqr(&Qkdz, &Qkdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mod(&Qkdz, a, &Qkdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
if ((e = mp_mul_2(&Qkdz, &Q2kdz)) != MP_OKAY) {
goto LBL_LS_ERR;
}
}
}
LBL_LS_ERR:
mp_clear_multi(&Q2kdz, &T4z, &T3z, &T2z, &T1z, &Qkdz, &Q2mz, &Qmz, &V2mz, &U2mz, &Vz, &Uz, &Np1, &gcd, &Dz, NULL);
return e;
}
#endif
#endif
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

75
third-party/libtommath-1.1.0/bn_mp_radix_size.c vendored
View file

@ -1,75 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_RADIX_SIZE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* returns size of ASCII reprensentation */
int mp_radix_size(const mp_int *a, int radix, int *size)
{
int res, digs;
mp_int t;
mp_digit d;
*size = 0;
/* make sure the radix is in range */
if ((radix < 2) || (radix > 64)) {
return MP_VAL;
}
if (mp_iszero(a) == MP_YES) {
*size = 2;
return MP_OKAY;
}
/* special case for binary */
if (radix == 2) {
*size = mp_count_bits(a) + ((a->sign == MP_NEG) ? 1 : 0) + 1;
return MP_OKAY;
}
/* digs is the digit count */
digs = 0;
/* if it's negative add one for the sign */
if (a->sign == MP_NEG) {
++digs;
}
/* init a copy of the input */
if ((res = mp_init_copy(&t, a)) != MP_OKAY) {
return res;
}
/* force temp to positive */
t.sign = MP_ZPOS;
/* fetch out all of the digits */
while (mp_iszero(&t) == MP_NO) {
if ((res = mp_div_d(&t, (mp_digit)radix, &t, &d)) != MP_OKAY) {
mp_clear(&t);
return res;
}
++digs;
}
mp_clear(&t);
/* return digs + 1, the 1 is for the NULL byte that would be required. */
*size = digs + 1;
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

35
third-party/libtommath-1.1.0/bn_mp_radix_smap.c vendored
View file

@ -1,35 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_RADIX_SMAP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* chars used in radix conversions */
const char *const mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/";
const uint8_t mp_s_rmap_reverse[] = {
0xff, 0xff, 0xff, 0x3e, 0xff, 0xff, 0xff, 0x3f, /* ()*+,-./ */
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, /* 01234567 */
0x08, 0x09, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* 89:;<=>? */
0xff, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, /* @ABCDEFG */
0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, /* HIJKLMNO */
0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, /* PQRSTUVW */
0x21, 0x22, 0x23, 0xff, 0xff, 0xff, 0xff, 0xff, /* XYZ[\]^_ */
0xff, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, /* `abcdefg */
0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, /* hijklmno */
0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, /* pqrstuvw */
0x3b, 0x3c, 0x3d, 0xff, 0xff, 0xff, 0xff, 0xff, /* xyz{|}~. */
};
const size_t mp_s_rmap_reverse_sz = sizeof(mp_s_rmap_reverse);
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

222
third-party/libtommath-1.1.0/bn_mp_rand.c vendored
View file

@ -1,222 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_RAND_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* First the OS-specific special cases
* - *BSD
* - Windows
*/
#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__)
#define MP_ARC4RANDOM
#define MP_GEN_RANDOM_MAX 0xffffffffu
#define MP_GEN_RANDOM_SHIFT 32
static int s_read_arc4random(mp_digit *p)
{
mp_digit d = 0, msk = 0;
do {
d <<= MP_GEN_RANDOM_SHIFT;
d |= ((mp_digit) arc4random());
msk <<= MP_GEN_RANDOM_SHIFT;
msk |= (MP_MASK & MP_GEN_RANDOM_MAX);
} while ((MP_MASK & msk) != MP_MASK);
*p = d;
return MP_OKAY;
}
#endif
#if defined(_WIN32) || defined(_WIN32_WCE)
#define MP_WIN_CSP
#ifndef _WIN32_WINNT
#define _WIN32_WINNT 0x0400
#endif
#ifdef _WIN32_WCE
#define UNDER_CE
#define ARM
#endif
#define WIN32_LEAN_AND_MEAN
#include <windows.h>
#include <wincrypt.h>
static HCRYPTPROV hProv = 0;
static void s_cleanup_win_csp(void)
{
CryptReleaseContext(hProv, 0);
hProv = 0;
}
static int s_read_win_csp(mp_digit *p)
{
int ret = -1;
if (hProv == 0) {
if (!CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL,
(CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET)) &&
!CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL,
CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET | CRYPT_NEWKEYSET)) {
hProv = 0;
return ret;
}
atexit(s_cleanup_win_csp);
}
if (CryptGenRandom(hProv, sizeof(*p), (void *)p) == TRUE) {
ret = MP_OKAY;
}
return ret;
}
#endif /* WIN32 */
#if !defined(MP_WIN_CSP) && defined(__linux__) && defined(__GLIBC_PREREQ)
#if __GLIBC_PREREQ(2, 25)
#define MP_GETRANDOM
#include <sys/random.h>
#include <errno.h>
static int s_read_getrandom(mp_digit *p)
{
int ret;
do {
ret = getrandom(p, sizeof(*p), 0);
} while ((ret == -1) && (errno == EINTR));
if (ret == sizeof(*p)) return MP_OKAY;
return -1;
}
#endif
#endif
/* We assume all platforms besides windows provide "/dev/urandom".
* In case yours doesn't, define MP_NO_DEV_URANDOM at compile-time.
*/
#if !defined(MP_WIN_CSP) && !defined(MP_NO_DEV_URANDOM)
#ifndef MP_DEV_URANDOM
#define MP_DEV_URANDOM "/dev/urandom"
#endif
#include <fcntl.h>
#include <errno.h>
#include <unistd.h>
static int s_read_dev_urandom(mp_digit *p)
{
ssize_t r;
int fd;
do {
fd = open(MP_DEV_URANDOM, O_RDONLY);
} while ((fd == -1) && (errno == EINTR));
if (fd == -1) return -1;
do {
r = read(fd, p, sizeof(*p));
} while ((r == -1) && (errno == EINTR));
close(fd);
if (r != sizeof(*p)) return -1;
return MP_OKAY;
}
#endif
#if defined(MP_PRNG_ENABLE_LTM_RNG)
unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void));
void (*ltm_rng_callback)(void);
static int s_read_ltm_rng(mp_digit *p)
{
unsigned long ret;
if (ltm_rng == NULL) return -1;
ret = ltm_rng((void *)p, sizeof(*p), ltm_rng_callback);
if (ret != sizeof(*p)) return -1;
return MP_OKAY;
}
#endif
static int s_rand_digit(mp_digit *p)
{
int ret = -1;
#if defined(MP_ARC4RANDOM)
ret = s_read_arc4random(p);
if (ret == MP_OKAY) return ret;
#endif
#if defined(MP_WIN_CSP)
ret = s_read_win_csp(p);
if (ret == MP_OKAY) return ret;
#else
#if defined(MP_GETRANDOM)
ret = s_read_getrandom(p);
if (ret == MP_OKAY) return ret;
#endif
#if defined(MP_DEV_URANDOM)
ret = s_read_dev_urandom(p);
if (ret == MP_OKAY) return ret;
#endif
#endif /* MP_WIN_CSP */
#if defined(MP_PRNG_ENABLE_LTM_RNG)
ret = s_read_ltm_rng(p);
if (ret == MP_OKAY) return ret;
#endif
return ret;
}
/* makes a pseudo-random int of a given size */
int mp_rand_digit(mp_digit *r)
{
int ret = s_rand_digit(r);
*r &= MP_MASK;
return ret;
}
int mp_rand(mp_int *a, int digits)
{
int res;
mp_digit d;
mp_zero(a);
if (digits <= 0) {
return MP_OKAY;
}
/* first place a random non-zero digit */
do {
if (mp_rand_digit(&d) != MP_OKAY) {
return MP_VAL;
}
} while (d == 0u);
if ((res = mp_add_d(a, d, a)) != MP_OKAY) {
return res;
}
while (--digits > 0) {
if ((res = mp_lshd(a, 1)) != MP_OKAY) {
return res;
}
if (mp_rand_digit(&d) != MP_OKAY) {
return MP_VAL;
}
if ((res = mp_add_d(a, d, a)) != MP_OKAY) {
return res;
}
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

88
third-party/libtommath-1.1.0/bn_mp_read_radix.c vendored
View file

@ -1,88 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_READ_RADIX_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* read a string [ASCII] in a given radix */
int mp_read_radix(mp_int *a, const char *str, int radix)
{
int y, res, neg;
unsigned pos;
char ch;
/* zero the digit bignum */
mp_zero(a);
/* make sure the radix is ok */
if ((radix < 2) || (radix > 64)) {
return MP_VAL;
}
/* if the leading digit is a
* minus set the sign to negative.
*/
if (*str == '-') {
++str;
neg = MP_NEG;
} else {
neg = MP_ZPOS;
}
/* set the integer to the default of zero */
mp_zero(a);
/* process each digit of the string */
while (*str != '\0') {
/* if the radix <= 36 the conversion is case insensitive
* this allows numbers like 1AB and 1ab to represent the same value
* [e.g. in hex]
*/
ch = (radix <= 36) ? (char)toupper((int)*str) : *str;
pos = (unsigned)(ch - '(');
if (mp_s_rmap_reverse_sz < pos) {
break;
}
y = (int)mp_s_rmap_reverse[pos];
/* if the char was found in the map
* and is less than the given radix add it
* to the number, otherwise exit the loop.
*/
if ((y == 0xff) || (y >= radix)) {
break;
}
if ((res = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) {
return res;
}
if ((res = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) {
return res;
}
++str;
}
/* if an illegal character was found, fail. */
if (!((*str == '\0') || (*str == '\r') || (*str == '\n'))) {
mp_zero(a);
return MP_VAL;
}
/* set the sign only if a != 0 */
if (mp_iszero(a) != MP_YES) {
a->sign = neg;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

38
third-party/libtommath-1.1.0/bn_mp_read_signed_bin.c vendored
View file

@ -1,38 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_READ_SIGNED_BIN_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* read signed bin, big endian, first byte is 0==positive or 1==negative */
int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c)
{
int res;
/* read magnitude */
if ((res = mp_read_unsigned_bin(a, b + 1, c - 1)) != MP_OKAY) {
return res;
}
/* first byte is 0 for positive, non-zero for negative */
if (b[0] == (unsigned char)0) {
a->sign = MP_ZPOS;
} else {
a->sign = MP_NEG;
}
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

52
third-party/libtommath-1.1.0/bn_mp_read_unsigned_bin.c vendored
View file

@ -1,52 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_READ_UNSIGNED_BIN_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* reads a unsigned char array, assumes the msb is stored first [big endian] */
int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c)
{
int res;
/* make sure there are at least two digits */
if (a->alloc < 2) {
if ((res = mp_grow(a, 2)) != MP_OKAY) {
return res;
}
}
/* zero the int */
mp_zero(a);
/* read the bytes in */
while (c-- > 0) {
if ((res = mp_mul_2d(a, 8, a)) != MP_OKAY) {
return res;
}
#ifndef MP_8BIT
a->dp[0] |= *b++;
a->used += 1;
#else
a->dp[0] = (*b & MP_MASK);
a->dp[1] |= ((*b++ >> 7) & 1u);
a->used += 2;
#endif
}
mp_clamp(a);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

97
third-party/libtommath-1.1.0/bn_mp_reduce.c vendored
View file

@ -1,97 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_REDUCE_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* reduces x mod m, assumes 0 < x < m**2, mu is
* precomputed via mp_reduce_setup.
* From HAC pp.604 Algorithm 14.42
*/
int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu)
{
mp_int q;
int res, um = m->used;
/* q = x */
if ((res = mp_init_copy(&q, x)) != MP_OKAY) {
return res;
}
/* q1 = x / b**(k-1) */
mp_rshd(&q, um - 1);
/* according to HAC this optimization is ok */
if ((mp_digit)um > ((mp_digit)1 << (DIGIT_BIT - 1))) {
if ((res = mp_mul(&q, mu, &q)) != MP_OKAY) {
goto CLEANUP;
}
} else {
#ifdef BN_S_MP_MUL_HIGH_DIGS_C
if ((res = s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) {
goto CLEANUP;
}
#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C)
if ((res = fast_s_mp_mul_high_digs(&q, mu, &q, um)) != MP_OKAY) {
goto CLEANUP;
}
#else
{
res = MP_VAL;
goto CLEANUP;
}
#endif
}
/* q3 = q2 / b**(k+1) */
mp_rshd(&q, um + 1);
/* x = x mod b**(k+1), quick (no division) */
if ((res = mp_mod_2d(x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) {
goto CLEANUP;
}
/* q = q * m mod b**(k+1), quick (no division) */
if ((res = s_mp_mul_digs(&q, m, &q, um + 1)) != MP_OKAY) {
goto CLEANUP;
}
/* x = x - q */
if ((res = mp_sub(x, &q, x)) != MP_OKAY) {
goto CLEANUP;
}
/* If x < 0, add b**(k+1) to it */
if (mp_cmp_d(x, 0uL) == MP_LT) {
mp_set(&q, 1uL);
if ((res = mp_lshd(&q, um + 1)) != MP_OKAY)
goto CLEANUP;
if ((res = mp_add(x, &q, x)) != MP_OKAY)
goto CLEANUP;
}
/* Back off if it's too big */
while (mp_cmp(x, m) != MP_LT) {
if ((res = s_mp_sub(x, m, x)) != MP_OKAY) {
goto CLEANUP;
}
}
CLEANUP:
mp_clear(&q);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

60
third-party/libtommath-1.1.0/bn_mp_reduce_2k.c vendored
View file

@ -1,60 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_REDUCE_2K_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* reduces a modulo n where n is of the form 2**p - d */
int mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit 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 LBL_ERR;
}
if (d != 1u) {
/* q = q * d */
if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* a = a + q */
if ((res = s_mp_add(a, &q, a)) != MP_OKAY) {
goto LBL_ERR;
}
if (mp_cmp_mag(a, n) != MP_LT) {
if ((res = s_mp_sub(a, n, a)) != MP_OKAY) {
goto LBL_ERR;
}
goto top;
}
LBL_ERR:
mp_clear(&q);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

61
third-party/libtommath-1.1.0/bn_mp_reduce_2k_l.c vendored
View file

@ -1,61 +0,0 @@
#include "tommath_private.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.
*
* SPDX-License-Identifier: Unlicense
*/
/* 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, const mp_int *n, const 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 LBL_ERR;
}
/* q = q * d */
if ((res = mp_mul(&q, d, &q)) != MP_OKAY) {
goto LBL_ERR;
}
/* a = a + q */
if ((res = s_mp_add(a, &q, a)) != MP_OKAY) {
goto LBL_ERR;
}
if (mp_cmp_mag(a, n) != MP_LT) {
if ((res = s_mp_sub(a, n, a)) != MP_OKAY) {
goto LBL_ERR;
}
goto top;
}
LBL_ERR:
mp_clear(&q);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

44
third-party/libtommath-1.1.0/bn_mp_reduce_2k_setup.c vendored
View file

@ -1,44 +0,0 @@
#include "tommath_private.h"
#ifdef BN_MP_REDUCE_2K_SETUP_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.
*
* SPDX-License-Identifier: Unlicense
*/
/* determines the setup value */
int mp_reduce_2k_setup(const mp_int *a, mp_digit *d)
{
int res, p;
mp_int tmp;
if ((res = mp_init(&tmp)) != MP_OKAY) {
return res;
}
p = mp_count_bits(a);
if ((res = mp_2expt(&tmp, p)) != MP_OKAY) {
mp_clear(&tmp);
return res;
}
if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) {
mp_clear(&tmp);
return res;
}
*d = tmp.dp[0];
mp_clear(&tmp);
return MP_OKAY;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

41
third-party/libtommath-1.1.0/bn_mp_reduce_2k_setup_l.c vendored
View file

@ -1,41 +0,0 @@
#include "tommath_private.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.
*
* SPDX-License-Identifier: Unlicense
*/
/* determines the setup value */
int mp_reduce_2k_setup_l(const 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 LBL_ERR;
}
if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) {
goto LBL_ERR;
}
LBL_ERR:
mp_clear(&tmp);
return res;
}
#endif
/* ref: tag: v1.1.0, master */
/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
/* commit time: 2019-01-28 20:32:32 +0100 */

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