Compare commits

...
Author SHA1 Message Date
jan.nijtmans 587746fd34 libtommath -> version 1.2.1 2023-09-04 20:14:58 +00:00
jan.nijtmans 0ff0a94010 Take over recent commmits on the support/1.x branch 2019-11-22 12:38:13 +00:00
jan.nijtmans b556c1fecc A few post-1.2.0 commits, extracted from support/1.x branch 2019-11-06 09:29:29 +00:00
jan.nijtmans 5de6de238c Update libtommath to v1.2.0 2019-10-22 09:53:10 +00:00
jan.nijtmans b03d00e307 Update libtommath to v1.2.0-rc3 2019-10-21 10:01:35 +00:00
jan.nijtmans 12c8a0c839 update libtommath to v1.2.0-rc2, with a few additional fixes. 2019-10-18 14:04:41 +00:00
jan.nijtmans 6dd152f040 Update libtommath to v1.2.0-rc1 2019-10-17 09:41:54 +00:00
jan.nijtmans 16a6b9c3c1 Sync with libtommath's "develop" again 2019-10-07 15:29:26 +00:00
jan.nijtmans 1e29c4f4ad Update to latest "develop" branch 2019-10-07 11:37:36 +00:00
jan.nijtmans 1cb1fee6ed Update to latest "develop" branch of libtommath 2019-07-26 13:12:31 +00:00
jan.nijtmans 508e022fa9 Update to latest "develop" branch of libtommath 2019-07-05 14:23:21 +00:00
jan.nijtmans 505f963287 Update to latest libtommath's "develop" branch. On the way to 1.2.0 2019-06-13 19:07:13 +00:00
jan.nijtmans 689987ea92 Take over improvements from libtommath's development branch (which will appear in next version).
- More efficient MP_SET_XLONG() macro.
- New internal macro's IS_ZERO/IS_EVEN/IS_ODD
- Changed signature for XMALLOC/XREALLOC/XFREE
2019-04-05 16:58:41 +00:00
jan.nijtmans 7cb32717a9 Update to libtommath v1.1.0 2019-01-28 21:53:18 +00:00
jan.nijtmans 3cf1eb2c23 Update to libtommath v1.1.0-rc4 2019-01-22 16:26:59 +00:00
jan.nijtmans f8876cc390 Update libtommath to latest "develop" branch 2018-10-22 19:32:11 +00:00
224 changed files with 11187 additions and 25806 deletions
+13 -4
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@@ -3,7 +3,9 @@
*.dylib
*.exe
*.exp
*.la
*.lib
*.lo
*.o
*.obj
*.pdb
@@ -18,15 +20,20 @@
*/tclsh*
*/tcltest*
*/versions.vc
*/version.vc
*/libtcl.vfs
*/libtcl_*.zip
html
libtommath/bn.ilg
libtommath/bn.ind
libtommath/doc
libtommath/pretty.build
libtommath/tommath.src
libtommath/*.log
libtommath/*.pdf
libtommath/*.pl
libtommath/gen.pl
libtommath/*.sh
libtommath/doc/*
libtommath/tombc/*
libtommath/pre_gen/*
libtommath/pics/*
@@ -41,7 +48,9 @@ unix/dltest.marker
unix/tcl.pc
unix/tclIndex
unix/pkgs/*
win/Debug_VC*
win/Release_VC*
win/Debug*
win/Release*
win/pkgs/*
win/tcl.hpj
win/coffbase.txt
win/tcl.hpj
win/nmhlp-out.txt
+39
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@@ -0,0 +1,39 @@
# Set the default behavior, in case people don't have core.autocrlf set.
* eol=lf
* text=auto
# Explicitly declare text files you want to always be normalized and converted
# to native line endings on checkout.
*.3 text
*.c text
*.css text
*.enc text
*.h text
*.htm text
*.html text
*.java text
*.js text
*.json text
*.n text
*.svg text
*.ts text
*.tcl text
*.test text
# Declare files that will always have CRLF line endings on checkout.
*.bat eol=crlf
*.sln eol=crlf
*.vc eol=crlf
# Denote all files that are truly binary and should not be modified.
*.a binary
*.dll binary
*.exe binary
*.gif binary
*.gz binary
*.jpg binary
*.lib binary
*.pdf binary
*.png binary
*.xlsx binary
*.zip binary
+54
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@@ -0,0 +1,54 @@
*.a
*.dll
*.dylib
*.exe
*.exp
*.lib
*.o
*.obj
*.pdb
*.res
*.sl
*.so
*/Makefile
*/config.cache
*/config.log
*/config.status
*/tclConfig.sh
*/tclsh*
*/tcltest*
*/versions.vc
*/version.vc
*/libtcl.vfs
*/libtcl_*.zip
html
libtommath/bn.ilg
libtommath/bn.ind
libtommath/pretty.build
libtommath/tommath.src
libtommath/*.log
libtommath/*.pdf
libtommath/*.pl
libtommath/*.sh
libtommath/doc/*
libtommath/tombc/*
libtommath/pre_gen/*
libtommath/pics/*
libtommath/mtest/*
libtommath/logs/*
libtommath/etc/*
libtommath/demo/*
libtommath/*.out
libtommath/*.tex
unix/autoMkindex.tcl
unix/dltest.marker
unix/tcl.pc
unix/tclIndex
unix/pkgs/*
win/Debug*
win/Release*
win/*.manifest
win/pkgs/*
win/coffbase.txt
win/tcl.hpj
win/nmhlp-out.txt
+21 -24
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@@ -1,29 +1,26 @@
LibTomMath is licensed under DUAL licensing terms.
The LibTom license
Choose and use the license of your needs.
This is free and unencumbered software released into the public domain.
[LICENSE #1]
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.
LibTomMath is public domain. As should all quality software be.
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.
Tom St Denis
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.
[/LICENSE #1]
[LICENSE #2]
DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
Version 2, December 2004
Copyright (C) 2004 Sam Hocevar <sam@hocevar.net>
Everyone is permitted to copy and distribute verbatim or modified
copies of this license document, and changing it is allowed as long
as the name is changed.
DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
0. You just DO WHAT THE FUCK YOU WANT TO.
[/LICENSE #2]
For more information, please refer to <http://unlicense.org/>
+27 -6
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@@ -4,20 +4,41 @@ This is the git repository for [LibTomMath](http://www.libtom.net/LibTomMath/),
## Build Status
master - [![Build Status - master](https://travis-ci.org/libtom/libtommath.png?branch=master)](https://travis-ci.org/libtom/libtommath)
### Travis CI
develop - [![Build Status - develop](https://travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath)
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)
### AppVeyor
master: [![Build status](https://ci.appveyor.com/api/projects/status/b80lpolw3i8m6hsh/branch/master?svg=true)](https://ci.appveyor.com/project/libtom/libtommath/branch/master)
develop: [![Build status](https://ci.appveyor.com/api/projects/status/b80lpolw3i8m6hsh/branch/develop?svg=true)](https://ci.appveyor.com/project/libtom/libtommath/branch/develop)
### ABI Laboratory
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.
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.
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.
* `make test` creates a stand-alone test binary that executes several test routines.
* `make mtest_opponent` 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 | ./mtest_opponent`.
`mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm
## Building and Installing
Building is straightforward for GNU Linux only, the section "Building LibTomMath" in the documentation in `doc/bn.pdf` has the details.
+20
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@@ -0,0 +1,20 @@
version: 1.2.1-{build}
branches:
only:
- master
- develop
- /^release/
- /^travis/
image:
- Visual Studio 2019
- Visual Studio 2017
- Visual Studio 2015
build_script:
- cmd: >-
if "Visual Studio 2019"=="%APPVEYOR_BUILD_WORKER_IMAGE%" call "C:\Program Files (x86)\Microsoft Visual Studio\2019\Community\VC\Auxiliary\Build\vcvars64.bat"
if "Visual Studio 2017"=="%APPVEYOR_BUILD_WORKER_IMAGE%" call "C:\Program Files (x86)\Microsoft Visual Studio\2017\Community\VC\Auxiliary\Build\vcvars64.bat"
if "Visual Studio 2015"=="%APPVEYOR_BUILD_WORKER_IMAGE%" call "C:\Program Files\Microsoft SDKs\Windows\v7.1\Bin\SetEnv.cmd" /x64
if "Visual Studio 2015"=="%APPVEYOR_BUILD_WORKER_IMAGE%" call "C:\Program Files (x86)\Microsoft Visual Studio 14.0\VC\vcvarsall.bat" x86_amd64
nmake -f makefile.msvc all
test_script:
- cmd: test.exe
+3
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@@ -4,6 +4,9 @@
# usage:
# astyle --options=astylerc *.[ch]
# Do not create backup, annonying in the times of git
suffix=none
## Bracket Style Options
style=kr
+14
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@@ -0,0 +1,14 @@
#include "tommath_private.h"
#ifdef BN_CUTOFFS_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#ifndef MP_FIXED_CUTOFFS
#include "tommath_cutoffs.h"
int KARATSUBA_MUL_CUTOFF = MP_DEFAULT_KARATSUBA_MUL_CUTOFF,
KARATSUBA_SQR_CUTOFF = MP_DEFAULT_KARATSUBA_SQR_CUTOFF,
TOOM_MUL_CUTOFF = MP_DEFAULT_TOOM_MUL_CUTOFF,
TOOM_SQR_CUTOFF = MP_DEFAULT_TOOM_SQR_CUTOFF;
#endif
#endif
+321
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@@ -0,0 +1,321 @@
#include "tommath_private.h"
#ifdef BN_DEPRECATED_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#ifdef BN_MP_GET_BIT_C
int mp_get_bit(const mp_int *a, int b)
{
if (b < 0) {
return MP_VAL;
}
return (s_mp_get_bit(a, (unsigned int)b) == MP_YES) ? MP_YES : MP_NO;
}
#endif
#ifdef BN_MP_JACOBI_C
mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c)
{
if (a->sign == MP_NEG) {
return MP_VAL;
}
if (mp_cmp_d(n, 0uL) != MP_GT) {
return MP_VAL;
}
return mp_kronecker(a, n, c);
}
#endif
#ifdef BN_MP_PRIME_RANDOM_EX_C
mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags, private_mp_prime_callback cb, void *dat)
{
return s_mp_prime_random_ex(a, t, size, flags, cb, dat);
}
#endif
#ifdef BN_MP_RAND_DIGIT_C
mp_err mp_rand_digit(mp_digit *r)
{
mp_err err = s_mp_rand_source(r, sizeof(mp_digit));
*r &= MP_MASK;
return err;
}
#endif
#ifdef BN_FAST_MP_INVMOD_C
mp_err fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c)
{
return s_mp_invmod_fast(a, b, c);
}
#endif
#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C
mp_err fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
{
return s_mp_montgomery_reduce_fast(x, n, rho);
}
#endif
#ifdef BN_FAST_S_MP_MUL_DIGS_C
mp_err fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
{
return s_mp_mul_digs_fast(a, b, c, digs);
}
#endif
#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C
mp_err fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs)
{
return s_mp_mul_high_digs_fast(a, b, c, digs);
}
#endif
#ifdef BN_FAST_S_MP_SQR_C
mp_err fast_s_mp_sqr(const mp_int *a, mp_int *b)
{
return s_mp_sqr_fast(a, b);
}
#endif
#ifdef BN_MP_BALANCE_MUL_C
mp_err mp_balance_mul(const mp_int *a, const mp_int *b, mp_int *c)
{
return s_mp_balance_mul(a, b, c);
}
#endif
#ifdef BN_MP_EXPTMOD_FAST_C
mp_err mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode)
{
return s_mp_exptmod_fast(G, X, P, Y, redmode);
}
#endif
#ifdef BN_MP_INVMOD_SLOW_C
mp_err mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c)
{
return s_mp_invmod_slow(a, b, c);
}
#endif
#ifdef BN_MP_KARATSUBA_MUL_C
mp_err mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c)
{
return s_mp_karatsuba_mul(a, b, c);
}
#endif
#ifdef BN_MP_KARATSUBA_SQR_C
mp_err mp_karatsuba_sqr(const mp_int *a, mp_int *b)
{
return s_mp_karatsuba_sqr(a, b);
}
#endif
#ifdef BN_MP_TOOM_MUL_C
mp_err mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c)
{
return s_mp_toom_mul(a, b, c);
}
#endif
#ifdef BN_MP_TOOM_SQR_C
mp_err mp_toom_sqr(const mp_int *a, mp_int *b)
{
return s_mp_toom_sqr(a, b);
}
#endif
#ifdef S_MP_REVERSE_C
void bn_reverse(unsigned char *s, int len)
{
if (len > 0) {
s_mp_reverse(s, (size_t)len);
}
}
#endif
#ifdef BN_MP_TC_AND_C
mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c)
{
return mp_and(a, b, c);
}
#endif
#ifdef BN_MP_TC_OR_C
mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c)
{
return mp_or(a, b, c);
}
#endif
#ifdef BN_MP_TC_XOR_C
mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c)
{
return mp_xor(a, b, c);
}
#endif
#ifdef BN_MP_TC_DIV_2D_C
mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c)
{
return mp_signed_rsh(a, b, c);
}
#endif
#ifdef BN_MP_INIT_SET_INT_C
mp_err mp_init_set_int(mp_int *a, unsigned long b)
{
return mp_init_u32(a, (uint32_t)b);
}
#endif
#ifdef BN_MP_SET_INT_C
mp_err mp_set_int(mp_int *a, unsigned long b)
{
mp_set_u32(a, (uint32_t)b);
return MP_OKAY;
}
#endif
#ifdef BN_MP_SET_LONG_C
mp_err mp_set_long(mp_int *a, unsigned long b)
{
mp_set_u64(a, b);
return MP_OKAY;
}
#endif
#ifdef BN_MP_SET_LONG_LONG_C
mp_err mp_set_long_long(mp_int *a, unsigned long long b)
{
mp_set_u64(a, b);
return MP_OKAY;
}
#endif
#ifdef BN_MP_GET_INT_C
unsigned long mp_get_int(const mp_int *a)
{
return (unsigned long)mp_get_mag_u32(a);
}
#endif
#ifdef BN_MP_GET_LONG_C
unsigned long mp_get_long(const mp_int *a)
{
return (unsigned long)mp_get_mag_ul(a);
}
#endif
#ifdef BN_MP_GET_LONG_LONG_C
unsigned long long mp_get_long_long(const mp_int *a)
{
return mp_get_mag_ull(a);
}
#endif
#ifdef BN_MP_PRIME_IS_DIVISIBLE_C
mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result)
{
return s_mp_prime_is_divisible(a, result);
}
#endif
#ifdef BN_MP_EXPT_D_EX_C
mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
{
(void)fast;
if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) {
return MP_VAL;
}
return mp_expt_u32(a, (uint32_t)b, c);
}
#endif
#ifdef BN_MP_EXPT_D_C
mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c)
{
if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) {
return MP_VAL;
}
return mp_expt_u32(a, (uint32_t)b, c);
}
#endif
#ifdef BN_MP_N_ROOT_EX_C
mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast)
{
(void)fast;
if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) {
return MP_VAL;
}
return mp_root_u32(a, (uint32_t)b, c);
}
#endif
#ifdef BN_MP_N_ROOT_C
mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c)
{
if (b > MP_MIN(MP_DIGIT_MAX, UINT32_MAX)) {
return MP_VAL;
}
return mp_root_u32(a, (uint32_t)b, c);
}
#endif
#ifdef BN_MP_UNSIGNED_BIN_SIZE_C
int mp_unsigned_bin_size(const mp_int *a)
{
return (int)mp_ubin_size(a);
}
#endif
#ifdef BN_MP_READ_UNSIGNED_BIN_C
mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c)
{
return mp_from_ubin(a, b, (size_t) c);
}
#endif
#ifdef BN_MP_TO_UNSIGNED_BIN_C
mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b)
{
return mp_to_ubin(a, b, SIZE_MAX, NULL);
}
#endif
#ifdef BN_MP_TO_UNSIGNED_BIN_N_C
mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen)
{
size_t n = mp_ubin_size(a);
if (*outlen < (unsigned long)n) {
return MP_VAL;
}
*outlen = (unsigned long)n;
return mp_to_ubin(a, b, n, NULL);
}
#endif
#ifdef BN_MP_SIGNED_BIN_SIZE_C
int mp_signed_bin_size(const mp_int *a)
{
return (int)mp_sbin_size(a);
}
#endif
#ifdef BN_MP_READ_SIGNED_BIN_C
mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c)
{
return mp_from_sbin(a, b, (size_t) c);
}
#endif
#ifdef BN_MP_TO_SIGNED_BIN_C
mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b)
{
return mp_to_sbin(a, b, SIZE_MAX, NULL);
}
#endif
#ifdef BN_MP_TO_SIGNED_BIN_N_C
mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen)
{
size_t n = mp_sbin_size(a);
if (*outlen < (unsigned long)n) {
return MP_VAL;
}
*outlen = (unsigned long)n;
return mp_to_sbin(a, b, n, NULL);
}
#endif
#ifdef BN_MP_TORADIX_N_C
mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen)
{
if (maxlen < 0) {
return MP_VAL;
}
return mp_to_radix(a, str, (size_t)maxlen, NULL, radix);
}
#endif
#ifdef BN_MP_TORADIX_C
mp_err mp_toradix(const mp_int *a, char *str, int radix)
{
return mp_to_radix(a, str, SIZE_MAX, NULL, radix);
}
#endif
#ifdef BN_MP_IMPORT_C
mp_err mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails,
const void *op)
{
return mp_unpack(rop, count, order, size, endian, nails, op);
}
#endif
#ifdef BN_MP_EXPORT_C
mp_err mp_export(void *rop, size_t *countp, int order, size_t size,
int endian, size_t nails, const mp_int *op)
{
return mp_pack(rop, SIZE_MAX, countp, order, size, endian, nails, op);
}
#endif
#endif
-47
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@@ -1,47 +0,0 @@
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-155
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@@ -1,155 +0,0 @@
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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;
}
}
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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+13 -25
View File
@@ -1,47 +1,35 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_2expt(mp_int *a, int b)
{
int res;
mp_err err;
if (b < 0) {
return MP_VAL;
}
/* 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;
if ((err = mp_grow(a, (b / MP_DIGIT_BIT) + 1)) != MP_OKAY) {
return err;
}
/* set the used count of where the bit will go */
a->used = (b / DIGIT_BIT) + 1;
a->used = (b / MP_DIGIT_BIT) + 1;
/* put the single bit in its place */
a->dp[b / DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % DIGIT_BIT);
a->dp[b / MP_DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % MP_DIGIT_BIT);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7 -23
View File
@@ -1,32 +1,20 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_abs(const mp_int *a, mp_int *b)
{
int res;
mp_err err;
/* copy a to b */
if (a != b) {
if ((res = mp_copy(a, b)) != MP_OKAY) {
return res;
if ((err = mp_copy(a, b)) != MP_OKAY) {
return err;
}
}
@@ -36,7 +24,3 @@ int mp_abs(const mp_int *a, mp_int *b)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+10 -25
View File
@@ -1,24 +1,13 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* high level addition (handles signs) */
int mp_add(const mp_int *a, const mp_int *b, mp_int *c)
mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c)
{
int sa, sb, res;
mp_sign sa, sb;
mp_err err;
/* get sign of both inputs */
sa = a->sign;
@@ -29,7 +18,7 @@ int mp_add(const mp_int *a, const mp_int *b, mp_int *c)
/* both positive or both negative */
/* add their magnitudes, copy the sign */
c->sign = sa;
res = s_mp_add(a, b, c);
err = s_mp_add(a, b, c);
} else {
/* one positive, the other negative */
/* subtract the one with the greater magnitude from */
@@ -37,17 +26,13 @@ int mp_add(const mp_int *a, const mp_int *b, mp_int *c)
/* 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);
err = s_mp_sub(b, a, c);
} else {
c->sign = sa;
res = s_mp_sub(a, b, c);
err = s_mp_sub(a, b, c);
}
}
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+16 -39
View File
@@ -1,30 +1,19 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* single digit addition */
int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
{
int res, ix, oldused;
mp_digit *tmpa, *tmpc, mu;
mp_err err;
int ix, oldused;
mp_digit *tmpa, *tmpc;
/* grow c as required */
if (c->alloc < (a->used + 1)) {
if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) {
return res;
if ((err = mp_grow(c, a->used + 1)) != MP_OKAY) {
return err;
}
}
@@ -35,7 +24,7 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
a_.sign = MP_ZPOS;
/* c = |a| - b */
res = mp_sub_d(&a_, b, c);
err = mp_sub_d(&a_, b, c);
/* fix sign */
c->sign = MP_NEG;
@@ -43,7 +32,7 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
/* clamp */
mp_clamp(c);
return res;
return err;
}
/* old number of used digits in c */
@@ -57,17 +46,11 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
/* 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++) {
/* add digits, mu is carry */
mp_digit mu = b;
for (ix = 0; ix < a->used; ix++) {
*tmpc = *tmpa++ + mu;
mu = *tmpc >> DIGIT_BIT;
mu = *tmpc >> MP_DIGIT_BIT;
*tmpc++ &= MP_MASK;
}
/* set final carry */
@@ -97,16 +80,10 @@ int mp_add_d(const mp_int *a, mp_digit b, mp_int *c)
c->sign = MP_ZPOS;
/* now zero to oldused */
while (ix++ < oldused) {
*tmpc++ = 0;
}
MP_ZERO_DIGITS(tmpc, oldused - ix);
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+13 -28
View File
@@ -1,40 +1,25 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d)
{
int res;
mp_err err;
mp_int t;
if ((res = mp_init(&t)) != MP_OKAY) {
return res;
if ((err = mp_init(&t)) != MP_OKAY) {
return err;
}
if ((res = mp_add(a, b, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
if ((err = mp_add(a, b, &t)) != MP_OKAY) {
goto LBL_ERR;
}
res = mp_mod(&t, c, d);
err = mp_mod(&t, c, d);
LBL_ERR:
mp_clear(&t);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+45 -46
View File
@@ -1,57 +1,56 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* AND two ints together */
int mp_and(const mp_int *a, const mp_int *b, mp_int *c)
/* two complement and */
mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c)
{
int res, ix, px;
mp_int t;
const mp_int *x;
int used = MP_MAX(a->used, b->used) + 1, i;
mp_err err;
mp_digit ac = 1, bc = 1, cc = 1;
mp_sign csign = ((a->sign == MP_NEG) && (b->sign == MP_NEG)) ? MP_NEG : MP_ZPOS;
if (a->used > b->used) {
if ((res = mp_init_copy(&t, a)) != MP_OKAY) {
return res;
if (c->alloc < used) {
if ((err = mp_grow(c, used)) != MP_OKAY) {
return err;
}
px = b->used;
x = b;
} else {
if ((res = mp_init_copy(&t, b)) != MP_OKAY) {
return res;
}
for (i = 0; i < used; i++) {
mp_digit x, y;
/* convert to two complement if negative */
if (a->sign == MP_NEG) {
ac += (i >= a->used) ? MP_MASK : (~a->dp[i] & MP_MASK);
x = ac & MP_MASK;
ac >>= MP_DIGIT_BIT;
} else {
x = (i >= a->used) ? 0uL : a->dp[i];
}
/* convert to two complement if negative */
if (b->sign == MP_NEG) {
bc += (i >= b->used) ? MP_MASK : (~b->dp[i] & MP_MASK);
y = bc & MP_MASK;
bc >>= MP_DIGIT_BIT;
} else {
y = (i >= b->used) ? 0uL : b->dp[i];
}
c->dp[i] = x & y;
/* convert to to sign-magnitude if negative */
if (csign == MP_NEG) {
cc += ~c->dp[i] & MP_MASK;
c->dp[i] = cc & MP_MASK;
cc >>= MP_DIGIT_BIT;
}
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);
c->used = used;
c->sign = csign;
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+3 -19
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* trim unused digits
*
@@ -37,7 +25,3 @@ void mp_clamp(mp_int *a)
}
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+4 -27
View File
@@ -1,34 +1,15 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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);
MP_FREE_DIGITS(a->dp, a->alloc);
/* reset members to make debugging easier */
a->dp = NULL;
@@ -37,7 +18,3 @@ void mp_clear(mp_int *a)
}
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+3 -19
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#include <stdarg.h>
@@ -29,7 +17,3 @@ void mp_clear_multi(mp_int *mp, ...)
va_end(args);
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+4 -20
View File
@@ -1,22 +1,10 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* compare two ints (signed)*/
int mp_cmp(const mp_int *a, const mp_int *b)
mp_ord mp_cmp(const mp_int *a, const mp_int *b)
{
/* compare based on sign */
if (a->sign != b->sign) {
@@ -36,7 +24,3 @@ int mp_cmp(const mp_int *a, const mp_int *b)
}
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+4 -20
View File
@@ -1,22 +1,10 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* compare a digit */
int mp_cmp_d(const mp_int *a, mp_digit b)
mp_ord mp_cmp_d(const mp_int *a, mp_digit b)
{
/* compare based on sign */
if (a->sign == MP_NEG) {
@@ -38,7 +26,3 @@ int mp_cmp_d(const mp_int *a, mp_digit b)
}
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+5 -21
View File
@@ -1,25 +1,13 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* compare maginitude of two ints (unsigned) */
int mp_cmp_mag(const mp_int *a, const mp_int *b)
mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b)
{
int n;
mp_digit *tmpa, *tmpb;
const mp_digit *tmpa, *tmpb;
/* compare based on # of non-zero digits */
if (a->used > b->used) {
@@ -49,7 +37,3 @@ int mp_cmp_mag(const mp_int *a, const mp_int *b)
return MP_EQ;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+5 -21
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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
@@ -26,14 +14,14 @@ int mp_cnt_lsb(const mp_int *a)
mp_digit q, qq;
/* easy out */
if (mp_iszero(a) == MP_YES) {
if (MP_IS_ZERO(a)) {
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;
x *= MP_DIGIT_BIT;
/* now scan this digit until a 1 is found */
if ((q & 1u) == 0u) {
@@ -47,7 +35,3 @@ int mp_cnt_lsb(const mp_int *a)
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+12
View File
@@ -0,0 +1,12 @@
#include "tommath_private.h"
#ifdef BN_MP_COMPLEMENT_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* b = ~a */
mp_err mp_complement(const mp_int *a, mp_int *b)
{
mp_err err = mp_neg(a, b);
return (err == MP_OKAY) ? mp_sub_d(b, 1uL, b) : err;
}
#endif
+20 -40
View File
@@ -1,24 +1,14 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* copy, b = a */
int mp_copy(const mp_int *a, mp_int *b)
mp_err mp_copy(const mp_int *a, mp_int *b)
{
int res, n;
int n;
mp_digit *tmpa, *tmpb;
mp_err err;
/* if dst == src do nothing */
if (a == b) {
@@ -27,41 +17,31 @@ int mp_copy(const mp_int *a, mp_int *b)
/* grow dest */
if (b->alloc < a->used) {
if ((res = mp_grow(b, a->used)) != MP_OKAY) {
return res;
if ((err = mp_grow(b, a->used)) != MP_OKAY) {
return err;
}
}
/* zero b and copy the parameters over */
{
mp_digit *tmpa, *tmpb;
/* pointer aliases */
/* pointer aliases */
/* source */
tmpa = a->dp;
/* source */
tmpa = a->dp;
/* destination */
tmpb = b->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 all the digits */
for (n = 0; n < a->used; n++) {
*tmpb++ = *tmpa++;
}
/* clear high digits */
MP_ZERO_DIGITS(tmpb, b->used - n);
/* copy used count and sign */
b->used = a->used;
b->sign = a->sign;
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7 -23
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* returns the number of bits in an int */
int mp_count_bits(const mp_int *a)
@@ -22,23 +10,19 @@ int mp_count_bits(const mp_int *a)
mp_digit q;
/* shortcut */
if (a->used == 0) {
if (MP_IS_ZERO(a)) {
return 0;
}
/* get number of digits and add that */
r = (a->used - 1) * DIGIT_BIT;
r = (a->used - 1) * MP_DIGIT_BIT;
/* take the last digit and count the bits in it */
q = a->dp[a->used - 1];
while (q > (mp_digit)0) {
while (q > 0u) {
++r;
q >>= (mp_digit)1;
q >>= 1u;
}
return r;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+34
View File
@@ -0,0 +1,34 @@
#include "tommath_private.h"
#ifdef BN_MP_DECR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* Decrement "a" by one like "a--". Changes input! */
mp_err mp_decr(mp_int *a)
{
if (MP_IS_ZERO(a)) {
mp_set(a,1uL);
a->sign = MP_NEG;
return MP_OKAY;
} else if (a->sign == MP_NEG) {
mp_err err;
a->sign = MP_ZPOS;
if ((err = mp_incr(a)) != MP_OKAY) {
return err;
}
/* There is no -0 in LTM */
if (!MP_IS_ZERO(a)) {
a->sign = MP_NEG;
}
return MP_OKAY;
} else if (a->dp[0] > 1uL) {
a->dp[0]--;
if (a->dp[0] == 0u) {
mp_zero(a);
}
return MP_OKAY;
} else {
return mp_sub_d(a, 1uL,a);
}
}
#endif
+59 -109
View File
@@ -1,72 +1,55 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err 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;
int n, n2;
mp_err err;
/* is divisor zero ? */
if (mp_iszero(b) == MP_YES) {
if (MP_IS_ZERO(b)) {
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);
err = mp_copy(a, d);
} else {
res = MP_OKAY;
err = MP_OKAY;
}
if (c != NULL) {
mp_zero(c);
}
return res;
return err;
}
/* init our temps */
if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) {
return res;
if ((err = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) {
return err;
}
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;
}
if ((err = mp_abs(a, &ta)) != MP_OKAY) goto LBL_ERR;
if ((err = mp_abs(b, &tb)) != MP_OKAY) goto LBL_ERR;
if ((err = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) goto LBL_ERR;
if ((err = 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;
if ((err = mp_sub(&ta, &tb, &ta)) != MP_OKAY) goto LBL_ERR;
if ((err = mp_add(&q, &tq, &q)) != MP_OKAY) goto LBL_ERR;
}
if ((err = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) goto LBL_ERR;
if ((err = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY) goto LBL_ERR;
}
/* now q == quotient and ta == remainder */
@@ -74,15 +57,15 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
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;
c->sign = MP_IS_ZERO(c) ? MP_ZPOS : n2;
}
if (d != NULL) {
mp_exch(d, &ta);
d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n;
d->sign = MP_IS_ZERO(d) ? MP_ZPOS : n;
}
LBL_ERR:
mp_clear_multi(&ta, &tb, &tq, &q, NULL);
return res;
return err;
}
#else
@@ -100,64 +83,54 @@ LBL_ERR:
* 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_err 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;
int n, t, i, norm;
mp_sign neg;
mp_err err;
/* is divisor zero ? */
if (mp_iszero(b) == MP_YES) {
if (MP_IS_ZERO(b)) {
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);
err = mp_copy(a, d);
} else {
res = MP_OKAY;
err = MP_OKAY;
}
if (c != NULL) {
mp_zero(c);
}
return res;
return err;
}
if ((res = mp_init_size(&q, a->used + 2)) != MP_OKAY) {
return res;
if ((err = mp_init_size(&q, a->used + 2)) != MP_OKAY) {
return err;
}
q.used = a->used + 2;
if ((res = mp_init(&t1)) != MP_OKAY) {
goto LBL_Q;
}
if ((err = mp_init(&t1)) != MP_OKAY) goto LBL_Q;
if ((res = mp_init(&t2)) != MP_OKAY) {
goto LBL_T1;
}
if ((err = mp_init(&t2)) != MP_OKAY) goto LBL_T1;
if ((res = mp_init_copy(&x, a)) != MP_OKAY) {
goto LBL_T2;
}
if ((err = mp_init_copy(&x, a)) != MP_OKAY) goto LBL_T2;
if ((res = mp_init_copy(&y, b)) != MP_OKAY) {
goto LBL_X;
}
if ((err = 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;
}
/* normalize both x and y, ensure that y >= b/2, [b == 2**MP_DIGIT_BIT] */
norm = mp_count_bits(&y) % MP_DIGIT_BIT;
if (norm < (MP_DIGIT_BIT - 1)) {
norm = (MP_DIGIT_BIT - 1) - norm;
if ((err = mp_mul_2d(&x, norm, &x)) != MP_OKAY) goto LBL_Y;
if ((err = mp_mul_2d(&y, norm, &y)) != MP_OKAY) goto LBL_Y;
} else {
norm = 0;
}
@@ -167,15 +140,12 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
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;
}
/* y = y*b**{n-t} */
if ((err = mp_lshd(&y, n - t)) != MP_OKAY) 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;
}
if ((err = mp_sub(&x, &y, &x)) != MP_OKAY) goto LBL_Y;
}
/* reset y by shifting it back down */
@@ -190,10 +160,10 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
/* 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;
q.dp[(i - t) - 1] = ((mp_digit)1 << (mp_digit)MP_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] << (mp_word)MP_DIGIT_BIT;
tmp |= (mp_word)x.dp[i - 1];
tmp /= (mp_word)y.dp[t];
if (tmp > (mp_word)MP_MASK) {
@@ -216,41 +186,27 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
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;
}
if ((err = 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[1] = x.dp[i - 1]; /* i >= 1 always holds */
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 ((err = 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 ((err = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) goto LBL_Y;
if ((res = mp_sub(&x, &t1, &x)) != MP_OKAY) {
goto LBL_Y;
}
if ((err = 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;
}
if ((err = mp_copy(&y, &t1)) != MP_OKAY) goto LBL_Y;
if ((err = mp_lshd(&t1, (i - t) - 1)) != MP_OKAY) goto LBL_Y;
if ((err = mp_add(&x, &t1, &x)) != MP_OKAY) goto LBL_Y;
q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & MP_MASK;
}
@@ -270,13 +226,11 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d)
}
if (d != NULL) {
if ((res = mp_div_2d(&x, norm, &x, NULL)) != MP_OKAY) {
goto LBL_Y;
}
if ((err = mp_div_2d(&x, norm, &x, NULL)) != MP_OKAY) goto LBL_Y;
mp_exch(&x, d);
}
res = MP_OKAY;
err = MP_OKAY;
LBL_Y:
mp_clear(&y);
@@ -288,13 +242,9 @@ LBL_T1:
mp_clear(&t1);
LBL_Q:
mp_clear(&q);
return res;
return err;
}
#endif
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+26 -45
View File
@@ -1,68 +1,49 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* b = a/2 */
int mp_div_2(const mp_int *a, mp_int *b)
mp_err mp_div_2(const mp_int *a, mp_int *b)
{
int x, res, oldused;
int x, oldused;
mp_digit r, rr, *tmpa, *tmpb;
mp_err err;
/* copy */
if (b->alloc < a->used) {
if ((res = mp_grow(b, a->used)) != MP_OKAY) {
return res;
if ((err = mp_grow(b, a->used)) != MP_OKAY) {
return err;
}
}
oldused = b->used;
b->used = a->used;
{
mp_digit r, rr, *tmpa, *tmpb;
/* source alias */
tmpa = a->dp + b->used - 1;
/* source alias */
tmpa = a->dp + b->used - 1;
/* dest alias */
tmpb = b->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;
/* 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));
/* shift the current digit, add in carry and store */
*tmpb-- = (*tmpa-- >> 1) | (r << (MP_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;
}
/* forward carry to next iteration */
r = rr;
}
/* zero excess digits */
MP_ZERO_DIGITS(b->dp + b->used, oldused - b->used);
b->sign = a->sign;
mp_clamp(b);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+17 -32
View File
@@ -1,55 +1,44 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d)
{
mp_digit D, r, rr;
int x, res;
int x;
mp_err err;
/* if the shift count is <= 0 then we do no work */
if (b <= 0) {
res = mp_copy(a, c);
err = mp_copy(a, c);
if (d != NULL) {
mp_zero(d);
}
return res;
return err;
}
/* copy */
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
if ((err = mp_copy(a, c)) != MP_OKAY) {
return err;
}
/* '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;
if ((err = mp_mod_2d(a, b, d)) != MP_OKAY) {
return err;
}
}
/* shift by as many digits in the bit count */
if (b >= DIGIT_BIT) {
mp_rshd(c, b / DIGIT_BIT);
if (b >= MP_DIGIT_BIT) {
mp_rshd(c, b / MP_DIGIT_BIT);
}
/* shift any bit count < DIGIT_BIT */
D = (mp_digit)(b % DIGIT_BIT);
/* shift any bit count < MP_DIGIT_BIT */
D = (mp_digit)(b % MP_DIGIT_BIT);
if (D != 0u) {
mp_digit *tmpc, mask, shift;
@@ -57,7 +46,7 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d)
mask = ((mp_digit)1 << D) - 1uL;
/* shift for lsb */
shift = (mp_digit)DIGIT_BIT - D;
shift = (mp_digit)MP_DIGIT_BIT - D;
/* alias */
tmpc = c->dp + (c->used - 1);
@@ -80,7 +69,3 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+13 -28
View File
@@ -1,44 +1,33 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err 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;
mp_err err;
int ix;
/* b = 2**DIGIT_BIT / 3 */
b = ((mp_word)1 << (mp_word)DIGIT_BIT) / (mp_word)3;
/* b = 2**MP_DIGIT_BIT / 3 */
b = ((mp_word)1 << (mp_word)MP_DIGIT_BIT) / (mp_word)3;
if ((res = mp_init_size(&q, a->used)) != MP_OKAY) {
return res;
if ((err = mp_init_size(&q, a->used)) != MP_OKAY) {
return err;
}
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];
w = (w << (mp_word)MP_DIGIT_BIT) | (mp_word)a->dp[ix];
if (w >= 3u) {
/* multiply w by [1/3] */
t = (w * (mp_word)b) >> (mp_word)DIGIT_BIT;
t = (w * (mp_word)b) >> (mp_word)MP_DIGIT_BIT;
/* now subtract 3 * [w/3] from w, to get the remainder */
w -= t+t+t;
@@ -68,11 +57,7 @@ int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d)
}
mp_clear(&q);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+17 -48
View File
@@ -1,45 +1,16 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
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;
}
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* 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_err 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;
mp_err err;
int ix;
/* cannot divide by zero */
if (b == 0u) {
@@ -47,7 +18,7 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d)
}
/* quick outs */
if ((b == 1u) || (mp_iszero(a) == MP_YES)) {
if ((b == 1u) || MP_IS_ZERO(a)) {
if (d != NULL) {
*d = 0;
}
@@ -58,7 +29,11 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d)
}
/* power of two ? */
if (s_is_power_of_two(b, &ix) == 1) {
if ((b & (b - 1u)) == 0u) {
ix = 1;
while ((ix < MP_DIGIT_BIT) && (b != (((mp_digit)1)<<ix))) {
ix++;
}
if (d != NULL) {
*d = a->dp[0] & (((mp_digit)1<<(mp_digit)ix) - 1uL);
}
@@ -68,23 +43,21 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d)
return MP_OKAY;
}
#ifdef BN_MP_DIV_3_C
/* three? */
if (b == 3u) {
if (MP_HAS(MP_DIV_3) && (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;
if ((err = mp_init_size(&q, a->used)) != MP_OKAY) {
return err;
}
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];
w = (w << (mp_word)MP_DIGIT_BIT) | (mp_word)a->dp[ix];
if (w >= b) {
t = (mp_digit)(w / b);
@@ -105,11 +78,7 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d)
}
mp_clear(&q);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7 -23
View File
@@ -1,28 +1,16 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* determines if a number is a valid DR modulus */
int mp_dr_is_modulus(const mp_int *a)
mp_bool mp_dr_is_modulus(const mp_int *a)
{
int ix;
/* must be at least two digits */
if (a->used < 2) {
return 0;
return MP_NO;
}
/* must be of the form b**k - a [a <= b] so all
@@ -30,14 +18,10 @@ int mp_dr_is_modulus(const mp_int *a)
*/
for (ix = 1; ix < a->used; ix++) {
if (a->dp[ix] != MP_MASK) {
return 0;
return MP_NO;
}
}
return 1;
return MP_YES;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+8 -25
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
*
@@ -29,9 +17,10 @@
*
* 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)
mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k)
{
int err, i, m;
mp_err err;
int i, m;
mp_word r;
mp_digit mu, *tmpx1, *tmpx2;
@@ -63,16 +52,14 @@ top:
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));
mu = (mp_digit)(r >> ((mp_word)MP_DIGIT_BIT));
}
/* set final carry */
*tmpx1++ = mu;
/* zero words above m */
for (i = m + 1; i < x->used; i++) {
*tmpx1++ = 0;
}
MP_ZERO_DIGITS(tmpx1, (x->used - m) - 1);
/* clamp, sub and return */
mp_clamp(x);
@@ -89,7 +76,3 @@ top:
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+6 -22
View File
@@ -1,31 +1,15 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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]
/* the casts are required if MP_DIGIT_BIT is one less than
* the number of bits in a mp_digit [e.g. MP_DIGIT_BIT==31]
*/
*d = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - (mp_word)a->dp[0]);
*d = (mp_digit)(((mp_word)1 << (mp_word)MP_DIGIT_BIT) - (mp_word)a->dp[0]);
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+27
View File
@@ -0,0 +1,27 @@
#include "tommath_private.h"
#ifdef BN_MP_ERROR_TO_STRING_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* return a char * string for a given code */
const char *mp_error_to_string(mp_err code)
{
switch (code) {
case MP_OKAY:
return "Successful";
case MP_ERR:
return "Unknown error";
case MP_MEM:
return "Out of heap";
case MP_VAL:
return "Value out of range";
case MP_ITER:
return "Max. iterations reached";
case MP_BUF:
return "Buffer overflow";
default:
return "Invalid error code";
}
}
#endif
+3 -19
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* swap the elements of two integers, for cases where you can't simply swap the
* mp_int pointers around
@@ -27,7 +15,3 @@ void mp_exch(mp_int *a, mp_int *b)
*b = t;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-87
View File
@@ -1,87 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-28
View File
@@ -1,28 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-82
View File
@@ -1,82 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+46
View File
@@ -0,0 +1,46 @@
#include "tommath_private.h"
#ifdef BN_MP_EXPT_U32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* calculate c = a**b using a square-multiply algorithm */
mp_err mp_expt_u32(const mp_int *a, uint32_t b, mp_int *c)
{
mp_err err;
mp_int g;
if ((err = mp_init_copy(&g, a)) != MP_OKAY) {
return err;
}
/* set initial result */
mp_set(c, 1uL);
while (b > 0u) {
/* if the bit is set multiply */
if ((b & 1u) != 0u) {
if ((err = mp_mul(c, &g, c)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* square */
if (b > 1u) {
if ((err = mp_sqr(&g, &g)) != MP_OKAY) {
goto LBL_ERR;
}
}
/* shift to next bit */
b >>= 1;
}
err = MP_OKAY;
LBL_ERR:
mp_clear(&g);
return err;
}
#endif
+25 -61
View File
@@ -1,27 +1,14 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y)
{
int dr;
@@ -32,81 +19,58 @@ int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y)
/* 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;
mp_err err;
/* first compute 1/G mod P */
if ((err = mp_init(&tmpG)) != MP_OKAY) {
if (!MP_HAS(MP_INVMOD)) {
return MP_VAL;
}
if ((err = mp_init_multi(&tmpG, &tmpX, NULL)) != MP_OKAY) {
return err;
}
/* first compute 1/G mod P */
if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) {
mp_clear(&tmpG);
return err;
goto LBL_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;
goto LBL_ERR;
}
/* and now compute (1/G)**|X| instead of G**X [X < 0] */
err = mp_exptmod(&tmpG, &tmpX, P, Y);
LBL_ERR:
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) {
if (MP_HAS(MP_REDUCE_IS_2K_L) && MP_HAS(MP_REDUCE_2K_L) && MP_HAS(S_MP_EXPTMOD) &&
(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
/* is it a DR modulus? default to no */
dr = (MP_HAS(MP_DR_IS_MODULUS) && (mp_dr_is_modulus(P) == MP_YES)) ? 1 : 0;
#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;
if (MP_HAS(MP_REDUCE_IS_2K) && (dr == 0)) {
dr = (mp_reduce_is_2k(P) == MP_YES) ? 2 : 0;
}
#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
if (MP_HAS(S_MP_EXPTMOD_FAST) && (MP_IS_ODD(P) || (dr != 0))) {
return s_mp_exptmod_fast(G, X, P, Y, dr);
} else if (MP_HAS(S_MP_EXPTMOD)) {
/* otherwise use the generic Barrett reduction technique */
return s_mp_exptmod(G, X, P, Y, 0);
#else
} else {
/* no exptmod for evens */
return MP_VAL;
#endif
#ifdef BN_MP_EXPTMOD_FAST_C
}
#endif
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+24 -76
View File
@@ -1,27 +1,15 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err 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;
mp_err err;
if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) {
return err;
@@ -29,77 +17,41 @@ int mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_in
/* initialize, (u1,u2,u3) = (1,0,a) */
mp_set(&u1, 1uL);
if ((err = mp_copy(a, &u3)) != MP_OKAY) {
goto LBL_ERR;
}
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;
}
if ((err = mp_copy(b, &v3)) != MP_OKAY) goto LBL_ERR;
/* loop while v3 != 0 */
while (mp_iszero(&v3) == MP_NO) {
while (!MP_IS_ZERO(&v3)) {
/* q = u3/v3 */
if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) {
goto LBL_ERR;
}
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;
}
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;
}
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;
}
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;
}
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 */
@@ -119,7 +71,3 @@ LBL_ERR:
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+21 -32
View File
@@ -1,32 +1,17 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#ifndef LTM_NO_FILE
#ifndef MP_NO_FILE
/* read a bigint from a file stream in ASCII */
int mp_fread(mp_int *a, int radix, FILE *stream)
mp_err mp_fread(mp_int *a, int radix, FILE *stream)
{
int err, ch, neg, y;
unsigned pos;
/* clear a */
mp_zero(a);
mp_err err;
mp_sign neg;
/* if first digit is - then set negative */
ch = fgetc(stream);
int ch = fgetc(stream);
if (ch == (int)'-') {
neg = MP_NEG;
ch = fgetc(stream);
@@ -34,8 +19,17 @@ int mp_fread(mp_int *a, int radix, FILE *stream)
neg = MP_ZPOS;
}
for (;;) {
pos = (unsigned)(ch - (int)'(');
/* no digits, return error */
if (ch == EOF) {
return MP_ERR;
}
/* clear a */
mp_zero(a);
do {
int y;
unsigned pos = (unsigned)(ch - (int)'(');
if (mp_s_rmap_reverse_sz < pos) {
break;
}
@@ -53,10 +47,9 @@ int mp_fread(mp_int *a, int radix, FILE *stream)
if ((err = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) {
return err;
}
} while ((ch = fgetc(stream)) != EOF);
ch = fgetc(stream);
}
if (mp_cmp_d(a, 0uL) != MP_EQ) {
if (a->used != 0) {
a->sign = neg;
}
@@ -65,7 +58,3 @@ int mp_fread(mp_int *a, int radix, FILE *stream)
#endif
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+25
View File
@@ -0,0 +1,25 @@
#include "tommath_private.h"
#ifdef BN_MP_FROM_SBIN_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* read signed bin, big endian, first byte is 0==positive or 1==negative */
mp_err mp_from_sbin(mp_int *a, const unsigned char *buf, size_t size)
{
mp_err err;
/* read magnitude */
if ((err = mp_from_ubin(a, buf + 1, size - 1u)) != MP_OKAY) {
return err;
}
/* first byte is 0 for positive, non-zero for negative */
if (buf[0] == (unsigned char)0) {
a->sign = MP_ZPOS;
} else {
a->sign = MP_NEG;
}
return MP_OKAY;
}
#endif
+39
View File
@@ -0,0 +1,39 @@
#include "tommath_private.h"
#ifdef BN_MP_FROM_UBIN_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* reads a unsigned char array, assumes the msb is stored first [big endian] */
mp_err mp_from_ubin(mp_int *a, const unsigned char *buf, size_t size)
{
mp_err err;
/* make sure there are at least two digits */
if (a->alloc < 2) {
if ((err = mp_grow(a, 2)) != MP_OKAY) {
return err;
}
}
/* zero the int */
mp_zero(a);
/* read the bytes in */
while (size-- > 0u) {
if ((err = mp_mul_2d(a, 8, a)) != MP_OKAY) {
return err;
}
#ifndef MP_8BIT
a->dp[0] |= *buf++;
a->used += 1;
#else
a->dp[0] = (*buf & MP_MASK);
a->dp[1] |= ((*buf++ >> 7) & 1u);
a->used += 2;
#endif
}
mp_clamp(a);
return MP_OKAY;
}
#endif
+26 -35
View File
@@ -1,54 +1,45 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#ifndef LTM_NO_FILE
int mp_fwrite(const mp_int *a, int radix, FILE *stream)
#ifndef MP_NO_FILE
mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream)
{
char *buf;
int err, len, x;
mp_err err;
int len;
size_t written;
if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) {
return err;
/* TODO: this function is not in this PR */
if (MP_HAS(MP_RADIX_SIZE_OVERESTIMATE)) {
/* if ((err = mp_radix_size_overestimate(&t, base, &len)) != MP_OKAY) goto LBL_ERR; */
} else {
if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) {
return err;
}
}
buf = OPT_CAST(char) XMALLOC((size_t)len);
buf = (char *) MP_MALLOC((size_t)len);
if (buf == NULL) {
return MP_MEM;
}
if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) {
XFREE(buf);
return err;
if ((err = mp_to_radix(a, buf, (size_t)len, &written, radix)) != MP_OKAY) {
goto LBL_ERR;
}
for (x = 0; x < len; x++) {
if (fputc((int)buf[x], stream) == EOF) {
XFREE(buf);
return MP_VAL;
}
if (fwrite(buf, written, 1uL, stream) != 1uL) {
err = MP_ERR;
goto LBL_ERR;
}
err = MP_OKAY;
XFREE(buf);
return MP_OKAY;
LBL_ERR:
MP_FREE_BUFFER(buf, (size_t)len);
return err;
}
#endif
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+22 -37
View File
@@ -1,40 +1,29 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int u, v;
int k, u_lsb, v_lsb, res;
int k, u_lsb, v_lsb;
mp_err err;
/* either zero than gcd is the largest */
if (mp_iszero(a) == MP_YES) {
if (MP_IS_ZERO(a)) {
return mp_abs(b, c);
}
if (mp_iszero(b) == MP_YES) {
if (MP_IS_ZERO(b)) {
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 ((err = mp_init_copy(&u, a)) != MP_OKAY) {
return err;
}
if ((res = mp_init_copy(&v, b)) != MP_OKAY) {
if ((err = mp_init_copy(&v, b)) != MP_OKAY) {
goto LBL_U;
}
@@ -44,33 +33,33 @@ int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c)
/* 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);
k = MP_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) {
if ((err = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) {
goto LBL_V;
}
if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) {
if ((err = 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) {
if ((err = 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) {
if ((err = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) {
goto LBL_V;
}
}
while (mp_iszero(&v) == MP_NO) {
while (!MP_IS_ZERO(&v)) {
/* make sure v is the largest */
if (mp_cmp_mag(&u, &v) == MP_GT) {
/* swap u and v to make sure v is >= u */
@@ -78,30 +67,26 @@ int mp_gcd(const mp_int *a, const mp_int *b, mp_int *c)
}
/* subtract smallest from largest */
if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) {
if ((err = 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) {
if ((err = 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) {
if ((err = mp_mul_2d(&u, k, c)) != MP_OKAY) {
goto LBL_V;
}
c->sign = MP_ZPOS;
res = MP_OKAY;
err = MP_OKAY;
LBL_V:
mp_clear(&u);
LBL_U:
mp_clear(&v);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+18
View File
@@ -0,0 +1,18 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_DOUBLE_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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 < MP_DIGIT_BIT; ++i) {
fac *= 2.0;
}
for (i = a->used; i --> 0;) {
d = (d * fac) + (double)a->dp[i];
}
return (a->sign == MP_NEG) ? -d : d;
}
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_I32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_SIGNED(mp_get_i32, mp_get_mag_u32, int32_t, uint32_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_I64_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_SIGNED(mp_get_i64, mp_get_mag_u64, int64_t, uint64_t)
#endif
-45
View File
@@ -1,45 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_L_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_SIGNED(mp_get_l, mp_get_mag_ul, long, unsigned long)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_LL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_SIGNED(mp_get_ll, mp_get_mag_ull, long long, unsigned long long)
#endif
-41
View File
@@ -1,41 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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
-41
View File
@@ -1,41 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_MAG_U32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_MAG(mp_get_mag_u32, uint32_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_MAG_U64_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_MAG(mp_get_mag_u64, uint64_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_MAG_UL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_MAG(mp_get_mag_ul, unsigned long)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_GET_MAG_ULL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_GET_MAG(mp_get_mag_ull, unsigned long long)
#endif
+12 -27
View File
@@ -1,38 +1,29 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* grow as required */
int mp_grow(mp_int *a, int size)
mp_err mp_grow(mp_int *a, int size)
{
int i;
mp_digit *tmp;
if (size < 0) {
return MP_VAL;
}
/* 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);
tmp = (mp_digit *) MP_REALLOC(a->dp,
(size_t)a->alloc * sizeof(mp_digit),
(size_t)size * sizeof(mp_digit));
if (tmp == NULL) {
/* reallocation failed but "a" is still valid [can be freed] */
return MP_MEM;
@@ -44,14 +35,8 @@ int mp_grow(mp_int *a, int size)
/* zero excess digits */
i = a->alloc;
a->alloc = size;
for (; i < a->alloc; i++) {
a->dp[i] = 0;
}
MP_ZERO_DIGITS(a->dp + i, a->alloc - i);
}
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-71
View File
@@ -1,71 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+30
View File
@@ -0,0 +1,30 @@
#include "tommath_private.h"
#ifdef BN_MP_INCR_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* Increment "a" by one like "a++". Changes input! */
mp_err mp_incr(mp_int *a)
{
if (MP_IS_ZERO(a)) {
mp_set(a,1uL);
return MP_OKAY;
} else if (a->sign == MP_NEG) {
mp_err err;
a->sign = MP_ZPOS;
if ((err = mp_decr(a)) != MP_OKAY) {
return err;
}
/* There is no -0 in LTM */
if (!MP_IS_ZERO(a)) {
a->sign = MP_NEG;
}
return MP_OKAY;
} else if (a->dp[0] < MP_DIGIT_MAX) {
a->dp[0]++;
return MP_OKAY;
} else {
return mp_add_d(a, 1uL,a);
}
}
#endif
+5 -28
View File
@@ -1,36 +1,17 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* init a new mp_int */
int mp_init(mp_int *a)
mp_err 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);
a->dp = (mp_digit *) MP_CALLOC((size_t)MP_PREC, sizeof(mp_digit));
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;
@@ -40,7 +21,3 @@ int mp_init(mp_int *a)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+9 -25
View File
@@ -1,37 +1,21 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* creates "a" then copies b into it */
int mp_init_copy(mp_int *a, const mp_int *b)
mp_err mp_init_copy(mp_int *a, const mp_int *b)
{
int res;
mp_err err;
if ((res = mp_init_size(a, b->used)) != MP_OKAY) {
return res;
if ((err = mp_init_size(a, b->used)) != MP_OKAY) {
return err;
}
if ((res = mp_copy(b, a)) != MP_OKAY) {
if ((err = mp_copy(b, a)) != MP_OKAY) {
mp_clear(a);
}
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_I32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_i32, mp_set_i32, int32_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_I64_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_i64, mp_set_i64, int64_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_L_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_l, mp_set_l, long)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_LL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_ll, mp_set_ll, long long)
#endif
+7 -23
View File
@@ -1,25 +1,13 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
#include <stdarg.h>
int mp_init_multi(mp_int *mp, ...)
mp_err mp_init_multi(mp_int *mp, ...)
{
mp_err res = MP_OKAY; /* Assume ok until proven otherwise */
mp_err err = MP_OKAY; /* Assume ok until proven otherwise */
int n = 0; /* Number of ok inits */
mp_int *cur_arg = mp;
va_list args;
@@ -40,18 +28,14 @@ int mp_init_multi(mp_int *mp, ...)
cur_arg = va_arg(clean_args, mp_int *);
}
va_end(clean_args);
res = MP_MEM;
err = MP_MEM;
break;
}
n++;
cur_arg = va_arg(args, mp_int *);
}
va_end(args);
return res; /* Assumed ok, if error flagged above. */
return err; /* Assumed ok, if error flagged above. */
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+5 -21
View File
@@ -1,24 +1,12 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* initialize and set a digit */
int mp_init_set(mp_int *a, mp_digit b)
mp_err mp_init_set(mp_int *a, mp_digit b)
{
int err;
mp_err err;
if ((err = mp_init(a)) != MP_OKAY) {
return err;
}
@@ -26,7 +14,3 @@ int mp_init_set(mp_int *a, mp_digit b)
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-31
View File
@@ -1,31 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+10 -29
View File
@@ -1,30 +1,20 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* init an mp_init for a given size */
int mp_init_size(mp_int *a, int size)
mp_err 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);
if (size < 0) {
return MP_VAL;
}
size = MP_MAX(MP_MIN_PREC, size);
/* alloc mem */
a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)size);
a->dp = (mp_digit *) MP_CALLOC((size_t)size, sizeof(mp_digit));
if (a->dp == NULL) {
return MP_MEM;
}
@@ -34,15 +24,6 @@ int mp_init_size(mp_int *a, int size)
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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_U32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_u32, mp_set_u32, uint32_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_U64_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_u64, mp_set_u64, uint64_t)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_UL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_ul, mp_set_ul, unsigned long)
#endif
+7
View File
@@ -0,0 +1,7 @@
#include "tommath_private.h"
#ifdef BN_MP_INIT_ULL_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
MP_INIT_INT(mp_init_ull, mp_set_ull, unsigned long long)
#endif
+9 -29
View File
@@ -1,43 +1,23 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* hac 14.61, pp608 */
int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c)
mp_err 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);
if (MP_HAS(S_MP_INVMOD_FAST) && MP_IS_ODD(b)) {
return s_mp_invmod_fast(a, b, c);
}
#endif
#ifdef BN_MP_INVMOD_SLOW_C
return mp_invmod_slow(a, b, c);
#else
return MP_VAL;
#endif
return MP_HAS(S_MP_INVMOD_SLOW)
? s_mp_invmod_slow(a, b, c)
: MP_VAL;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-176
View File
@@ -1,176 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+29 -46
View File
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* Check if remainders are possible squares - fast exclude non-squares */
static const char rem_128[128] = {
@@ -38,9 +26,9 @@ static const char rem_105[105] = {
};
/* Store non-zero to ret if arg is square, and zero if not */
int mp_is_square(const mp_int *arg, int *ret)
mp_err mp_is_square(const mp_int *arg, mp_bool *ret)
{
int res;
mp_err err;
mp_digit c;
mp_int t;
unsigned long r;
@@ -52,59 +40,54 @@ int mp_is_square(const mp_int *arg, int *ret)
return MP_VAL;
}
/* digits used? (TSD) */
if (arg->used == 0) {
if (MP_IS_ZERO(arg)) {
return MP_OKAY;
}
/* First check mod 128 (suppose that DIGIT_BIT is at least 7) */
if (rem_128[127u & DIGIT(arg, 0)] == (char)1) {
/* First check mod 128 (suppose that MP_DIGIT_BIT is at least 7) */
if (rem_128[127u & arg->dp[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 ((err = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) {
return err;
}
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 ((err = mp_init_u32(&t, 11u*13u*17u*19u*23u*29u*31u)) != MP_OKAY) {
return err;
}
if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) {
goto ERR;
if ((err = mp_mod(arg, &t, &t)) != MP_OKAY) {
goto LBL_ERR;
}
r = mp_get_int(&t);
r = mp_get_u32(&t);
/* Check for other prime modules, note it's not an ERROR but we must
* free "t" so the easiest way is to goto ERR. We know that res
* free "t" so the easiest way is to goto LBL_ERR. We know that err
* is already equal to MP_OKAY from the mp_mod call
*/
if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto ERR;
if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto ERR;
if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto ERR;
if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto ERR;
if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto ERR;
if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto ERR;
if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto ERR;
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 ERR;
if ((err = mp_sqrt(arg, &t)) != MP_OKAY) {
goto LBL_ERR;
}
if ((res = mp_sqr(&t, &t)) != MP_OKAY) {
goto ERR;
if ((err = mp_sqr(&t, &t)) != MP_OKAY) {
goto LBL_ERR;
}
*ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO;
ERR:
LBL_ERR:
mp_clear(&t);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+10
View File
@@ -0,0 +1,10 @@
#include "tommath_private.h"
#ifdef BN_MP_ISEVEN_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
mp_bool mp_iseven(const mp_int *a)
{
return MP_IS_EVEN(a) ? MP_YES : MP_NO;
}
#endif
+10
View File
@@ -0,0 +1,10 @@
#include "tommath_private.h"
#ifdef BN_MP_ISODD_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
mp_bool mp_isodd(const mp_int *a)
{
return MP_IS_ODD(a) ? MP_YES : MP_NO;
}
#endif
-119
View File
@@ -1,119 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* computes the jacobi c = (a | n) (or Legendre if n is prime)
* HAC pp. 73 Algorithm 2.149
* HAC is wrong here, as the special case of (0 | 1) is not
* handled correctly.
*/
int mp_jacobi(const mp_int *a, const mp_int *n, int *c)
{
mp_int a1, p1;
int k, s, r, res;
mp_digit residue;
/* 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;
}
/* step 1. handle case of a == 0 */
if (mp_iszero(a) == MP_YES) {
/* special case of a == 0 and n == 1 */
if (mp_cmp_d(n, 1uL) == MP_EQ) {
*c = 1;
} else {
*c = 0;
}
return MP_OKAY;
}
/* step 2. if a == 1, return 1 */
if (mp_cmp_d(a, 1uL) == MP_EQ) {
*c = 1;
return MP_OKAY;
}
/* default */
s = 0;
/* step 3. write a = a1 * 2**k */
if ((res = mp_init_copy(&a1, a)) != MP_OKAY) {
return res;
}
if ((res = mp_init(&p1)) != MP_OKAY) {
goto LBL_A1;
}
/* divide out larger power of two */
k = mp_cnt_lsb(&a1);
if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) {
goto LBL_P1;
}
/* step 4. if e is even set s=1 */
if (((unsigned)k & 1u) == 0u) {
s = 1;
} else {
/* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */
residue = n->dp[0] & 7u;
if ((residue == 1u) || (residue == 7u)) {
s = 1;
} else if ((residue == 3u) || (residue == 5u)) {
s = -1;
}
}
/* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */
if (((n->dp[0] & 3u) == 3u) && ((a1.dp[0] & 3u) == 3u)) {
s = -s;
}
/* if a1 == 1 we're done */
if (mp_cmp_d(&a1, 1uL) == MP_EQ) {
*c = s;
} else {
/* n1 = n mod a1 */
if ((res = mp_mod(n, &a1, &p1)) != MP_OKAY) {
goto LBL_P1;
}
if ((res = mp_jacobi(&p1, &a1, &r)) != MP_OKAY) {
goto LBL_P1;
}
*c = s * r;
}
/* done */
res = MP_OKAY;
LBL_P1:
mp_clear(&p1);
LBL_A1:
mp_clear(&a1);
return res;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+129
View File
@@ -0,0 +1,129 @@
#include "tommath_private.h"
#ifdef BN_MP_KRONECKER_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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}
}
*/
mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c)
{
mp_int a1, p1, r;
mp_err err;
int v, k;
static const int table[8] = {0, 1, 0, -1, 0, -1, 0, 1};
if (MP_IS_ZERO(p)) {
if ((a->used == 1) && (a->dp[0] == 1u)) {
*c = 1;
} else {
*c = 0;
}
return MP_OKAY;
}
if (MP_IS_EVEN(a) && MP_IS_EVEN(p)) {
*c = 0;
return MP_OKAY;
}
if ((err = mp_init_copy(&a1, a)) != MP_OKAY) {
return err;
}
if ((err = mp_init_copy(&p1, p)) != MP_OKAY) {
goto LBL_KRON_0;
}
v = mp_cnt_lsb(&p1);
if ((err = mp_div_2d(&p1, v, &p1, NULL)) != MP_OKAY) {
goto LBL_KRON_1;
}
if ((v & 1) == 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 ((err = mp_init(&r)) != MP_OKAY) {
goto LBL_KRON_1;
}
for (;;) {
if (MP_IS_ZERO(&a1)) {
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 ((err = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) {
goto LBL_KRON;
}
if ((v & 1) == 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 ((err = mp_copy(&a1, &r)) != MP_OKAY) {
goto LBL_KRON;
}
r.sign = MP_ZPOS;
if ((err = mp_mod(&p1, &r, &a1)) != MP_OKAY) {
goto LBL_KRON;
}
if ((err = 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 err;
}
#endif
+13 -29
View File
@@ -1,49 +1,37 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c)
{
int res;
mp_err err;
mp_int t1, t2;
if ((res = mp_init_multi(&t1, &t2, NULL)) != MP_OKAY) {
return res;
if ((err = mp_init_multi(&t1, &t2, NULL)) != MP_OKAY) {
return err;
}
/* t1 = get the GCD of the two inputs */
if ((res = mp_gcd(a, b, &t1)) != MP_OKAY) {
if ((err = 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) {
if ((err = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) {
goto LBL_T;
}
res = mp_mul(b, &t2, c);
err = 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) {
if ((err = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) {
goto LBL_T;
}
res = mp_mul(a, &t2, c);
err = mp_mul(a, &t2, c);
}
/* fix the sign to positive */
@@ -51,10 +39,6 @@ int mp_lcm(const mp_int *a, const mp_int *b, mp_int *c)
LBL_T:
mp_clear_multi(&t1, &t2, NULL);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+180
View File
@@ -0,0 +1,180 @@
#include "tommath_private.h"
#ifdef BN_MP_LOG_U32_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* Compute log_{base}(a) */
static mp_word s_pow(mp_word base, mp_word exponent)
{
mp_word result = 1u;
while (exponent != 0u) {
if ((exponent & 1u) == 1u) {
result *= base;
}
exponent >>= 1;
base *= base;
}
return result;
}
static mp_digit s_digit_ilogb(mp_digit base, mp_digit n)
{
mp_word bracket_low = 1u, bracket_mid, bracket_high, N;
mp_digit ret, high = 1u, low = 0uL, mid;
if (n < base) {
return 0uL;
}
if (n == base) {
return 1uL;
}
bracket_high = (mp_word) base ;
N = (mp_word) n;
while (bracket_high < N) {
low = high;
bracket_low = bracket_high;
high <<= 1;
bracket_high *= bracket_high;
}
while (((mp_digit)(high - low)) > 1u) {
mid = (low + high) >> 1;
bracket_mid = bracket_low * s_pow(base, (mp_word)(mid - low));
if (N < bracket_mid) {
high = mid ;
bracket_high = bracket_mid ;
}
if (N > bracket_mid) {
low = mid ;
bracket_low = bracket_mid ;
}
if (N == bracket_mid) {
return (mp_digit) mid;
}
}
if (bracket_high == N) {
ret = high;
} else {
ret = low;
}
return ret;
}
/* TODO: output could be "int" because the output of mp_radix_size is int, too,
as is the output of mp_bitcount.
With the same problem: max size is INT_MAX * MP_DIGIT not INT_MAX only!
*/
mp_err mp_log_u32(const mp_int *a, uint32_t base, uint32_t *c)
{
mp_err err;
mp_ord cmp;
uint32_t high, low, mid;
mp_int bracket_low, bracket_high, bracket_mid, t, bi_base;
err = MP_OKAY;
if (a->sign == MP_NEG) {
return MP_VAL;
}
if (MP_IS_ZERO(a)) {
return MP_VAL;
}
if (base < 2u) {
return MP_VAL;
}
/* A small shortcut for bases that are powers of two. */
if ((base & (base - 1u)) == 0u) {
int y, bit_count;
for (y=0; (y < 7) && ((base & 1u) == 0u); y++) {
base >>= 1;
}
bit_count = mp_count_bits(a) - 1;
*c = (uint32_t)(bit_count/y);
return MP_OKAY;
}
if (a->used == 1) {
*c = (uint32_t)s_digit_ilogb(base, a->dp[0]);
return err;
}
cmp = mp_cmp_d(a, base);
if ((cmp == MP_LT) || (cmp == MP_EQ)) {
*c = cmp == MP_EQ;
return err;
}
if ((err =
mp_init_multi(&bracket_low, &bracket_high,
&bracket_mid, &t, &bi_base, NULL)) != MP_OKAY) {
return err;
}
low = 0u;
mp_set(&bracket_low, 1uL);
high = 1u;
mp_set(&bracket_high, base);
/*
A kind of Giant-step/baby-step algorithm.
Idea shamelessly stolen from https://programmingpraxis.com/2010/05/07/integer-logarithms/2/
The effect is asymptotic, hence needs benchmarks to test if the Giant-step should be skipped
for small n.
*/
while (mp_cmp(&bracket_high, a) == MP_LT) {
low = high;
if ((err = mp_copy(&bracket_high, &bracket_low)) != MP_OKAY) {
goto LBL_ERR;
}
high <<= 1;
if ((err = mp_sqr(&bracket_high, &bracket_high)) != MP_OKAY) {
goto LBL_ERR;
}
}
mp_set(&bi_base, base);
while ((high - low) > 1u) {
mid = (high + low) >> 1;
if ((err = mp_expt_u32(&bi_base, (uint32_t)(mid - low), &t)) != MP_OKAY) {
goto LBL_ERR;
}
if ((err = mp_mul(&bracket_low, &t, &bracket_mid)) != MP_OKAY) {
goto LBL_ERR;
}
cmp = mp_cmp(a, &bracket_mid);
if (cmp == MP_LT) {
high = mid;
mp_exch(&bracket_mid, &bracket_high);
}
if (cmp == MP_GT) {
low = mid;
mp_exch(&bracket_mid, &bracket_low);
}
if (cmp == MP_EQ) {
*c = mid;
goto LBL_END;
}
}
*c = (mp_cmp(&bracket_high, a) == MP_EQ) ? high : low;
LBL_END:
LBL_ERR:
mp_clear_multi(&bracket_low, &bracket_high, &bracket_mid,
&t, &bi_base, NULL);
return err;
}
#endif
+26 -46
View File
@@ -1,71 +1,51 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* shift left a certain amount of digits */
int mp_lshd(mp_int *a, int b)
mp_err mp_lshd(mp_int *a, int b)
{
int x, res;
int x;
mp_err err;
mp_digit *top, *bottom;
/* if its less than zero return */
if (b <= 0) {
return MP_OKAY;
}
/* no need to shift 0 around */
if (mp_iszero(a) == MP_YES) {
if (MP_IS_ZERO(a)) {
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;
if ((err = mp_grow(a, a->used + b)) != MP_OKAY) {
return err;
}
}
{
mp_digit *top, *bottom;
/* increment the used by the shift amount then copy upwards */
a->used += b;
/* increment the used by the shift amount then copy upwards */
a->used += b;
/* top */
top = a->dp + a->used - 1;
/* top */
top = a->dp + a->used - 1;
/* base */
bottom = (a->dp + a->used - 1) - b;
/* 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;
}
/* 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 */
MP_ZERO_DIGITS(a->dp, b);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+14 -30
View File
@@ -1,47 +1,31 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c)
{
mp_int t;
int res;
mp_err err;
if ((res = mp_init_size(&t, b->used)) != MP_OKAY) {
return res;
if ((err = mp_init_size(&t, b->used)) != MP_OKAY) {
return err;
}
if ((res = mp_div(a, b, NULL, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
if ((err = mp_div(a, b, NULL, &t)) != MP_OKAY) {
goto LBL_ERR;
}
if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) {
res = MP_OKAY;
if (MP_IS_ZERO(&t) || (t.sign == b->sign)) {
err = MP_OKAY;
mp_exch(&t, c);
} else {
res = mp_add(b, &t, c);
err = mp_add(b, &t, c);
}
LBL_ERR:
mp_clear(&t);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+15 -31
View File
@@ -1,24 +1,13 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* calc a value mod 2**b */
int mp_mod_2d(const mp_int *a, int b, mp_int *c)
mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c)
{
int x, res;
int x;
mp_err err;
/* if b is <= 0 then zero the int */
if (b <= 0) {
@@ -27,28 +16,23 @@ int mp_mod_2d(const mp_int *a, int b, mp_int *c)
}
/* if the modulus is larger than the value than return */
if (b >= (a->used * DIGIT_BIT)) {
res = mp_copy(a, c);
return res;
if (b >= (a->used * MP_DIGIT_BIT)) {
return mp_copy(a, c);
}
/* copy */
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
if ((err = mp_copy(a, c)) != MP_OKAY) {
return err;
}
/* 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;
}
x = (b / MP_DIGIT_BIT) + (((b % MP_DIGIT_BIT) == 0) ? 0 : 1);
MP_ZERO_DIGITS(c->dp + x, c->used - x);
/* 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;
c->dp[b / MP_DIGIT_BIT] &=
((mp_digit)1 << (mp_digit)(b % MP_DIGIT_BIT)) - (mp_digit)1;
mp_clamp(c);
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+4 -20
View File
@@ -1,26 +1,10 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c)
mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c)
{
return mp_div_d(a, b, NULL, c);
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
@@ -1,19 +1,7 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/*
* shifts with subtractions when the result is greater than b.
@@ -21,16 +9,17 @@
* 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)
mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b)
{
int x, bits, res;
int x, bits;
mp_err err;
/* how many bits of last digit does b use */
bits = mp_count_bits(b) % DIGIT_BIT;
bits = mp_count_bits(b) % MP_DIGIT_BIT;
if (b->used > 1) {
if ((res = mp_2expt(a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) {
return res;
if ((err = mp_2expt(a, ((b->used - 1) * MP_DIGIT_BIT) + bits - 1)) != MP_OKAY) {
return err;
}
} else {
mp_set(a, 1uL);
@@ -39,13 +28,13 @@ int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b)
/* 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;
for (x = bits - 1; x < (int)MP_DIGIT_BIT; x++) {
if ((err = mp_mul_2(a, a)) != MP_OKAY) {
return err;
}
if (mp_cmp_mag(a, b) != MP_LT) {
if ((res = s_mp_sub(a, b, a)) != MP_OKAY) {
return res;
if ((err = s_mp_sub(a, b, a)) != MP_OKAY) {
return err;
}
}
}
@@ -53,7 +42,3 @@ int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+14 -30
View File
@@ -1,24 +1,13 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
{
int ix, res, digs;
int ix, digs;
mp_err err;
mp_digit mu;
/* can the fast reduction [comba] method be used?
@@ -28,17 +17,16 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
* 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);
if ((digs < MP_WARRAY) &&
(x->used <= MP_WARRAY) &&
(n->used < MP_MAXFAST)) {
return s_mp_montgomery_reduce_fast(x, n, rho);
}
/* grow the input as required */
if (x->alloc < digs) {
if ((res = mp_grow(x, digs)) != MP_OKAY) {
return res;
if ((err = mp_grow(x, digs)) != MP_OKAY) {
return err;
}
}
x->used = digs;
@@ -76,7 +64,7 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
(mp_word)u + (mp_word)*tmpx;
/* get carry */
u = (mp_digit)(r >> (mp_word)DIGIT_BIT);
u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT);
/* fix digit */
*tmpx++ = (mp_digit)(r & (mp_word)MP_MASK);
@@ -87,7 +75,7 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
/* propagate carries upwards as required*/
while (u != 0u) {
*tmpx += u;
u = *tmpx >> DIGIT_BIT;
u = *tmpx >> MP_DIGIT_BIT;
*tmpx++ &= MP_MASK;
}
}
@@ -112,7 +100,3 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+5 -21
View File
@@ -1,22 +1,10 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* setups the montgomery reduction stuff */
int mp_montgomery_setup(const mp_int *n, mp_digit *rho)
mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho)
{
mp_digit x, b;
@@ -47,12 +35,8 @@ int mp_montgomery_setup(const mp_int *n, mp_digit *rho)
#endif
/* rho = -1/m mod b */
*rho = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - x) & MP_MASK;
*rho = (mp_digit)(((mp_word)1 << (mp_word)MP_DIGIT_BIT) - x) & MP_MASK;
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+44 -59
View File
@@ -1,67 +1,52 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* high level multiplication (handles sign) */
int mp_mul(const mp_int *a, const mp_int *b, mp_int *c)
mp_err 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;
mp_err err;
int min_len = MP_MIN(a->used, b->used),
max_len = MP_MAX(a->used, b->used),
digs = a->used + b->used + 1;
mp_sign 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
}
}
if (MP_HAS(S_MP_BALANCE_MUL) &&
/* Check sizes. The smaller one needs to be larger than the Karatsuba cut-off.
* The bigger one needs to be at least about one MP_KARATSUBA_MUL_CUTOFF bigger
* to make some sense, but it depends on architecture, OS, position of the
* stars... so YMMV.
* Using it to cut the input into slices small enough for s_mp_mul_digs_fast
* was actually slower on the author's machine, but YMMV.
*/
(min_len >= MP_KARATSUBA_MUL_CUTOFF) &&
((max_len / 2) >= MP_KARATSUBA_MUL_CUTOFF) &&
/* Not much effect was observed below a ratio of 1:2, but again: YMMV. */
(max_len >= (2 * min_len))) {
err = s_mp_balance_mul(a,b,c);
} else if (MP_HAS(S_MP_TOOM_MUL) &&
(min_len >= MP_TOOM_MUL_CUTOFF)) {
err = s_mp_toom_mul(a, b, c);
} else if (MP_HAS(S_MP_KARATSUBA_MUL) &&
(min_len >= MP_KARATSUBA_MUL_CUTOFF)) {
err = s_mp_karatsuba_mul(a, b, c);
} else if (MP_HAS(S_MP_MUL_DIGS_FAST) &&
/* 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
*/
(digs < MP_WARRAY) &&
(min_len <= MP_MAXFAST)) {
err = s_mp_mul_digs_fast(a, b, c, digs);
} else if (MP_HAS(S_MP_MUL_DIGS)) {
err = s_mp_mul_digs(a, b, c, digs);
} else {
err = MP_VAL;
}
c->sign = (c->used > 0) ? neg : MP_ZPOS;
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+10 -28
View File
@@ -1,29 +1,18 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* b = a*2 */
int mp_mul_2(const mp_int *a, mp_int *b)
mp_err mp_mul_2(const mp_int *a, mp_int *b)
{
int x, res, oldused;
int x, oldused;
mp_err err;
/* grow to accomodate result */
if (b->alloc < (a->used + 1)) {
if ((res = mp_grow(b, a->used + 1)) != MP_OKAY) {
return res;
if ((err = mp_grow(b, a->used + 1)) != MP_OKAY) {
return err;
}
}
@@ -46,7 +35,7 @@ int mp_mul_2(const mp_int *a, mp_int *b)
/* get what will be the *next* carry bit from the
* MSB of the current digit
*/
rr = *tmpa >> (mp_digit)(DIGIT_BIT - 1);
rr = *tmpa >> (mp_digit)(MP_DIGIT_BIT - 1);
/* now shift up this digit, add in the carry [from the previous] */
*tmpb++ = ((*tmpa++ << 1uL) | r) & MP_MASK;
@@ -67,16 +56,9 @@ int mp_mul_2(const mp_int *a, mp_int *b)
/* 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;
}
MP_ZERO_DIGITS(b->dp + b->used, oldused - b->used);
}
b->sign = a->sign;
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+20 -32
View File
@@ -1,48 +1,40 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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_err mp_mul_2d(const mp_int *a, int b, mp_int *c)
{
mp_digit d;
int res;
mp_err err;
if (b < 0) {
return MP_VAL;
}
/* copy */
if (a != c) {
if ((res = mp_copy(a, c)) != MP_OKAY) {
return res;
if ((err = mp_copy(a, c)) != MP_OKAY) {
return err;
}
}
if (c->alloc < (c->used + (b / DIGIT_BIT) + 1)) {
if ((res = mp_grow(c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) {
return res;
if (c->alloc < (c->used + (b / MP_DIGIT_BIT) + 1)) {
if ((err = mp_grow(c, c->used + (b / MP_DIGIT_BIT) + 1)) != MP_OKAY) {
return err;
}
}
/* 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;
if (b >= MP_DIGIT_BIT) {
if ((err = mp_lshd(c, b / MP_DIGIT_BIT)) != MP_OKAY) {
return err;
}
}
/* shift any bit count < DIGIT_BIT */
d = (mp_digit)(b % DIGIT_BIT);
/* shift any bit count < MP_DIGIT_BIT */
d = (mp_digit)(b % MP_DIGIT_BIT);
if (d != 0u) {
mp_digit *tmpc, shift, mask, r, rr;
int x;
@@ -51,7 +43,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c)
mask = ((mp_digit)1 << d) - (mp_digit)1;
/* shift for msbs */
shift = (mp_digit)DIGIT_BIT - d;
shift = (mp_digit)MP_DIGIT_BIT - d;
/* alias */
tmpc = c->dp;
@@ -79,7 +71,3 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+10 -27
View File
@@ -1,31 +1,20 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */
/* multiply by a digit */
int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c)
mp_err 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;
mp_err err;
int ix, 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;
if ((err = mp_grow(c, a->used + 1)) != MP_OKAY) {
return err;
}
}
@@ -53,7 +42,7 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c)
*tmpc++ = (mp_digit)(r & (mp_word)MP_MASK);
/* send carry into next iteration */
u = (mp_digit)(r >> (mp_word)DIGIT_BIT);
u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT);
}
/* store final carry [if any] and increment ix offset */
@@ -61,9 +50,7 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c)
++ix;
/* now zero digits above the top */
while (ix++ < olduse) {
*tmpc++ = 0;
}
MP_ZERO_DIGITS(tmpc, olduse - ix);
/* set used count */
c->used = a->used + 1;
@@ -72,7 +59,3 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c)
return MP_OKAY;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
+14 -29
View File
@@ -1,40 +1,25 @@
#include <tommath_private.h>
#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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* 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)
mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d)
{
int res;
mp_int t;
mp_err err;
mp_int t;
if ((res = mp_init_size(&t, c->used)) != MP_OKAY) {
return res;
if ((err = mp_init_size(&t, c->used)) != MP_OKAY) {
return err;
}
if ((res = mp_mul(a, b, &t)) != MP_OKAY) {
mp_clear(&t);
return res;
if ((err = mp_mul(a, b, &t)) != MP_OKAY) {
goto LBL_ERR;
}
res = mp_mod(&t, c, d);
err = mp_mod(&t, c, d);
LBL_ERR:
mp_clear(&t);
return res;
return err;
}
#endif
/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */
-30
View File
@@ -1,30 +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.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
*/
/* 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: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */

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