diff --git a/.gitattributes b/.gitattributes index 2861792..b522729 100644 --- a/.gitattributes +++ b/.gitattributes @@ -1,4 +1,5 @@ /.gitattributes export-ignore /.gitignore export-ignore +/.travis.yml export-ignore /** export-subst diff --git a/.gitignore b/.gitignore index 7ece4a0..41fa387 100644 --- a/.gitignore +++ b/.gitignore @@ -6,16 +6,18 @@ *.gcno *.gcov *.lib -Debug/ -Release/ +[Dd]ebug/ +[Rr]elease/ +/MSVC_* .libs/ .coveralls.yml coverage*/ coverage.info +pre_gen/* # suppress output of build process and *nix/windows test executables -ltmtest -ltmtest.exe +timing +timing.exe test test.exe mtest @@ -31,6 +33,25 @@ mtest.exe # ignore user specific settings *.user *.suo +*.userosscache +*.sln.docstates +*.userprefs +# cache/options directory +.vs/ +# Backup & report files from converting an old project file to a newer Visual Studio version +_UpgradeReport_Files/ +Backup*/ +UpgradeLog*.XML +UpgradeLog*.htm +# Visual Studio 6 build log + workspace options file +*.plg +*.opt +# visual studio profiler +*.psess +*.vsp +*.vspx +*.sap + # ignore stuff generated by "make manual" and "make poster" *.aux @@ -56,7 +77,3 @@ test_*.txt *.asc *.tar.xz *.zip - -.idea/ -cmake-build-*/ -out/ \ No newline at end of file diff --git a/.travis.yml b/.travis.yml index c760245..37fe211 100644 --- a/.travis.yml +++ b/.travis.yml @@ -1,18 +1,35 @@ language: c -compiler: - - gcc -script: - - make travis_mtest - - head -n 5 test.log - - tail -n 2 test.log - - ./testme.sh --with-cc=gcc --with-low-mp +install: + - sudo apt-get update -qq + - sudo apt-get install gcc-multilib +matrix: + fast_finish: true branches: only: - master - develop - /^release\/.*$/ +compiler: + - gcc + - clang +script: + - ./testme.sh --with-cc=$CC ${BUILDOPTIONS} +env: + - | + BUILDOPTIONS="--test-vs-mtest=333333" + - | + BUILDOPTIONS="--test-vs-mtest=333333 --mtest-real-rand" + - | + BUILDOPTIONS="--with-low-mp" + - | + BUILDOPTIONS="--with-m64 --with-m32 --with-mx32" + +after_failure: + - cat test_*.log + - cat gcc_errors_*.log + notifications: irc: "chat.freenode.net#libtom-notifications" diff --git a/CMakeLists.txt b/CMakeLists.txt index e586d4f..e6519aa 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -1,166 +1,21 @@ cmake_minimum_required(VERSION 3.6) -project(libtommath) +project(libtommath C) set(CMAKE_INCLUDE_CURRENT_DIR ON) -set(SOURCE_FILES -# demo/demo.c -# demo/timing.c -# etc/2kprime.c -# etc/drprime.c -# etc/makefile.icc -# etc/mersenne.c -# etc/mont.c -# etc/pprime.c -# etc/tune.c -# mtest/logtab.h -# mtest/mpi-config.h -# mtest/mpi-types.h -# mtest/mpi.c -# mtest/mpi.h -# mtest/mtest.c -# pre_gen/mpi.c - bn_error.c - bn_fast_mp_invmod.c - bn_fast_mp_montgomery_reduce.c - bn_fast_s_mp_mul_digs.c - bn_fast_s_mp_mul_high_digs.c - bn_fast_s_mp_sqr.c - bn_mp_2expt.c - bn_mp_abs.c - bn_mp_add.c - bn_mp_add_d.c - bn_mp_addmod.c - bn_mp_and.c - bn_mp_clamp.c - bn_mp_clear.c - bn_mp_clear_multi.c - bn_mp_cmp.c - bn_mp_cmp_d.c - bn_mp_cmp_mag.c - bn_mp_cnt_lsb.c - bn_mp_copy.c - bn_mp_count_bits.c - bn_mp_div.c - bn_mp_div_2.c - bn_mp_div_2d.c - bn_mp_div_3.c - bn_mp_div_d.c - bn_mp_dr_is_modulus.c - bn_mp_dr_reduce.c - bn_mp_dr_setup.c - bn_mp_exch.c - bn_mp_export.c - bn_mp_expt_d.c - bn_mp_expt_d_ex.c - bn_mp_exptmod.c - bn_mp_exptmod_fast.c - bn_mp_exteuclid.c - bn_mp_fread.c - bn_mp_fwrite.c - bn_mp_gcd.c - bn_mp_get_int.c - bn_mp_get_long.c - bn_mp_get_long_long.c - bn_mp_grow.c - bn_mp_import.c - bn_mp_init.c - bn_mp_init_copy.c - bn_mp_init_multi.c - bn_mp_init_set.c - bn_mp_init_set_int.c - bn_mp_init_size.c - bn_mp_invmod.c - bn_mp_invmod_slow.c - bn_mp_is_square.c - bn_mp_jacobi.c - bn_mp_karatsuba_mul.c - bn_mp_karatsuba_sqr.c - bn_mp_lcm.c - bn_mp_lshd.c - bn_mp_mod.c - bn_mp_mod_2d.c - bn_mp_mod_d.c - bn_mp_montgomery_calc_normalization.c - bn_mp_montgomery_reduce.c - bn_mp_montgomery_setup.c - bn_mp_mul.c - bn_mp_mul_2.c - bn_mp_mul_2d.c - bn_mp_mul_d.c - bn_mp_mulmod.c - bn_mp_n_root.c - bn_mp_n_root_ex.c - bn_mp_neg.c - bn_mp_or.c - bn_mp_prime_fermat.c - bn_mp_prime_is_divisible.c - bn_mp_prime_is_prime.c - bn_mp_prime_miller_rabin.c - bn_mp_prime_next_prime.c - bn_mp_prime_rabin_miller_trials.c - bn_mp_prime_random_ex.c - bn_mp_radix_size.c - bn_mp_radix_smap.c - bn_mp_rand.c - bn_mp_read_radix.c - bn_mp_read_signed_bin.c - bn_mp_read_unsigned_bin.c - bn_mp_reduce.c - bn_mp_reduce_2k.c - bn_mp_reduce_2k_l.c - bn_mp_reduce_2k_setup.c - bn_mp_reduce_2k_setup_l.c - bn_mp_reduce_is_2k.c - bn_mp_reduce_is_2k_l.c - bn_mp_reduce_setup.c - bn_mp_rshd.c - bn_mp_set.c - bn_mp_set_int.c - bn_mp_set_long.c - bn_mp_set_long_long.c - bn_mp_shrink.c - bn_mp_signed_bin_size.c - bn_mp_sqr.c - bn_mp_sqrmod.c - bn_mp_sqrt.c - bn_mp_sqrtmod_prime.c - bn_mp_sub.c - bn_mp_sub_d.c - bn_mp_submod.c - bn_mp_to_signed_bin.c - bn_mp_to_signed_bin_n.c - bn_mp_to_unsigned_bin.c - bn_mp_to_unsigned_bin_n.c - bn_mp_toom_mul.c - bn_mp_toom_sqr.c - bn_mp_toradix.c - bn_mp_toradix_n.c - bn_mp_unsigned_bin_size.c - bn_mp_xor.c - bn_mp_zero.c - bn_prime_tab.c - bn_reverse.c - bn_s_mp_add.c - bn_s_mp_exptmod.c - bn_s_mp_mul_digs.c - bn_s_mp_mul_high_digs.c - bn_s_mp_sqr.c - bn_s_mp_sub.c - bncore.c - makefile.icc +file(GLOB SOURCE_FILES ./bn*.c) +list(APPEND SOURCE_FILES tommath.h tommath_class.h tommath_private.h - tommath_superclass.h) - -add_definitions(-DALL_FUNCTIONS) + tommath_superclass.h +) add_library(tommathShared SHARED ${SOURCE_FILES}) add_library(tommathStatic STATIC ${SOURCE_FILES}) # Install library -install(TARGETS tommathShared DESTINATION lib/) +install(TARGETS tommathStatic tommathShared DESTINATION lib/) # Install library headers file(GLOB HEADERS *.h) install(FILES ${HEADERS} DESTINATION include/) \ No newline at end of file diff --git a/LICENSE b/LICENSE index 04d6d1d..b23b3c8 100644 --- a/LICENSE +++ b/LICENSE @@ -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 - - 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 diff --git a/README.md b/README.md index 4c5da71..0e57a4d 100644 --- a/README.md +++ b/README.md @@ -1,8 +1,16 @@ -[![Build Status - master](https://travis-ci.org/libtom/libtommath.png?branch=master)](https://travis-ci.org/libtom/libtommath) +# libtommath -[![Build Status - develop](https://travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath) +This is the git repository for [LibTomMath](http://www.libtom.net/LibTomMath/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C. -This is the git repository for [LibTomMath](http://www.libtom.org/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C. +## Build Status + +master: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=master)](https://travis-ci.org/libtom/libtommath) + +develop: [![Build Status](https://api.travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath) + +API/ABI changes: [check here](https://abi-laboratory.pro/tracker/timeline/libtommath/) + +## Summary The `develop` branch contains the in-development version. Stable releases are tagged. @@ -10,6 +18,8 @@ Documentation is built from the LaTeX file `bn.tex`. There is also limited docum 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. diff --git a/bn_error.c b/bn_error.c index 0d395ff..697875f 100644 --- a/bn_error.c +++ b/bn_error.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_ERROR_C) +#include "tommath_private.h" +#ifdef BN_ERROR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ static const struct { @@ -28,10 +24,10 @@ static const struct { /* return a char * string for a given code */ const char *mp_error_to_string(int code) { - int x; + size_t x; /* scan the lookup table for the given message */ - for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { + for (x = 0; x < (sizeof(msgs) / sizeof(msgs[0])); x++) { if (msgs[x].code == code) { return msgs[x].msg; } diff --git a/bn_fast_mp_invmod.c b/bn_fast_mp_invmod.c index 2827feb..3c8088f 100644 --- a/bn_fast_mp_invmod.c +++ b/bn_fast_mp_invmod.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_FAST_MP_INVMOD_C) +#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 @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -47,6 +43,12 @@ int fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) 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; @@ -54,7 +56,7 @@ int fast_mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) if ((res = mp_copy(&y, &v)) != MP_OKAY) { goto LBL_ERR; } - mp_set(&D, 1); + mp_set(&D, 1uL); top: /* 4. while u is even do */ @@ -123,7 +125,7 @@ top: /* now a = C, b = D, gcd == g*v */ /* if v != 1 then there is no inverse */ - if (mp_cmp_d(&v, 1) != MP_EQ) { + if (mp_cmp_d(&v, 1uL) != MP_EQ) { res = MP_VAL; goto LBL_ERR; } @@ -135,6 +137,14 @@ top: goto LBL_ERR; } } + + /* too big */ + while (mp_cmp_mag(&D, b) != MP_LT) { + if ((res = mp_sub(&D, b, &D)) != MP_OKAY) { + goto LBL_ERR; + } + } + mp_exch(&D, c); c->sign = neg; res = MP_OKAY; diff --git a/bn_fast_mp_montgomery_reduce.c b/bn_fast_mp_montgomery_reduce.c index 25740a6..eb5d90b 100644 --- a/bn_fast_mp_montgomery_reduce.c +++ b/bn_fast_mp_montgomery_reduce.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_FAST_MP_MONTGOMERY_REDUCE_C) +#include "tommath_private.h" +#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -28,6 +25,10 @@ int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) int ix, res, olduse; mp_word W[MP_WARRAY]; + if (x->used > (int)MP_WARRAY) { + return MP_VAL; + } + /* get old used count */ olduse = x->used; @@ -73,7 +74,7 @@ int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) * that W[ix-1] have the carry cleared (see after the inner loop) */ mp_digit mu; - mu = (mp_digit)(((W[ix] & MP_MASK) * rho) & MP_MASK); + mu = ((W[ix] & MP_MASK) * rho) & MP_MASK; /* a = a + mu * m * b**i * @@ -102,12 +103,12 @@ int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) /* inner loop */ for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); + *_W++ += (mp_word)mu * (mp_word)*tmpn++; } } /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); + W[ix + 1] += W[ix] >> (mp_word)DIGIT_BIT; } /* now we have to propagate the carries and @@ -127,7 +128,7 @@ int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) _W = W + ++ix; for (; ix <= ((n->used * 2) + 1); ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); + *_W++ += *_W1++ >> (mp_word)DIGIT_BIT; } /* copy out, A = A/b**n @@ -144,7 +145,7 @@ int fast_mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) _W = W + n->used; for (ix = 0; ix < (n->used + 1); ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); + *tmpx++ = *_W++ & (mp_word)MP_MASK; } /* zero oldused digits, if the input a was larger than diff --git a/bn_fast_s_mp_mul_digs.c b/bn_fast_s_mp_mul_digs.c index a194515..4736799 100644 --- a/bn_fast_s_mp_mul_digs.c +++ b/bn_fast_s_mp_mul_digs.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_FAST_S_MP_MUL_DIGS_C) +#include "tommath_private.h" +#ifdef BN_FAST_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Fast (comba) multiplier @@ -70,15 +66,15 @@ int fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) /* execute loop */ for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; } /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; + W[ix] = (mp_digit)_W & MP_MASK; /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); + _W = _W >> (mp_word)DIGIT_BIT; } /* setup dest */ @@ -88,7 +84,7 @@ int fast_s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) { mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < (pa + 1); ix++) { + for (ix = 0; ix < pa; ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } diff --git a/bn_fast_s_mp_mul_high_digs.c b/bn_fast_s_mp_mul_high_digs.c index 90155f0..06c076c 100644 --- a/bn_fast_s_mp_mul_high_digs.c +++ b/bn_fast_s_mp_mul_high_digs.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) +#include "tommath_private.h" +#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* this is a modified version of fast_s_mul_digs that only produces @@ -61,14 +57,14 @@ int fast_s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int dig /* execute loop */ for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; } /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; + W[ix] = (mp_digit)_W & MP_MASK; /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); + _W = _W >> (mp_word)DIGIT_BIT; } /* setup dest */ diff --git a/bn_fast_s_mp_sqr.c b/bn_fast_s_mp_sqr.c index 0e0b3ed..5be8e9d 100644 --- a/bn_fast_s_mp_sqr.c +++ b/bn_fast_s_mp_sqr.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_FAST_S_MP_SQR_C) +#include "tommath_private.h" +#ifdef BN_FAST_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* the jist of squaring... @@ -71,22 +67,22 @@ int fast_s_mp_sqr(const mp_int *a, mp_int *b) /* execute loop */ for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); + _W += (mp_word)*tmpx++ * (mp_word)*tmpy--; } /* double the inner product and add carry */ _W = _W + _W + W1; /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); + if (((unsigned)ix & 1u) == 0u) { + _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1]; } /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); + W[ix] = _W & MP_MASK; /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); + W1 = _W >> (mp_word)DIGIT_BIT; } /* setup dest */ diff --git a/bn_mp_2expt.c b/bn_mp_2expt.c index cdb7910..42f5746 100644 --- a/bn_mp_2expt.c +++ b/bn_mp_2expt.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_MP_2EXPT_C) +#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 @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes a = 2**b @@ -37,7 +33,7 @@ int mp_2expt(mp_int *a, int b) a->used = (b / DIGIT_BIT) + 1; /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); + a->dp[b / DIGIT_BIT] = (mp_digit)1 << (mp_digit)(b % DIGIT_BIT); return MP_OKAY; } diff --git a/bn_mp_abs.c b/bn_mp_abs.c index 0f8cf6d..f12d261 100644 --- a/bn_mp_abs.c +++ b/bn_mp_abs.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_ABS_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* b = |a| diff --git a/bn_mp_add.c b/bn_mp_add.c index 8fa338e..f04388a 100644 --- a/bn_mp_add.c +++ b/bn_mp_add.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_MP_ADD_C) +#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 @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* high level addition (handles signs) */ diff --git a/bn_mp_add_d.c b/bn_mp_add_d.c index 1574774..ecdb791 100644 --- a/bn_mp_add_d.c +++ b/bn_mp_add_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_ADD_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* single digit addition */ diff --git a/bn_mp_addmod.c b/bn_mp_addmod.c index 6649f82..f8e4dda 100644 --- a/bn_mp_addmod.c +++ b/bn_mp_addmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_ADDMOD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* d = a + b (mod c) */ diff --git a/bn_mp_and.c b/bn_mp_and.c index c607959..789bb58 100644 --- a/bn_mp_and.c +++ b/bn_mp_and.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_AND_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* AND two ints together */ diff --git a/bn_mp_clamp.c b/bn_mp_clamp.c index 72342f1..0953f4b 100644 --- a/bn_mp_clamp.c +++ b/bn_mp_clamp.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CLAMP_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* trim unused digits @@ -27,7 +24,7 @@ void mp_clamp(mp_int *a) /* decrease used while the most significant digit is * zero. */ - while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { + while ((a->used > 0) && (a->dp[a->used - 1] == 0u)) { --(a->used); } diff --git a/bn_mp_clear.c b/bn_mp_clear.c index b897a0d..1f360b2 100644 --- a/bn_mp_clear.c +++ b/bn_mp_clear.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CLEAR_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* clear one (frees) */ diff --git a/bn_mp_clear_multi.c b/bn_mp_clear_multi.c index 7d0ab2b..c96b4ac 100644 --- a/bn_mp_clear_multi.c +++ b/bn_mp_clear_multi.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CLEAR_MULTI_C) +#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 @@ -9,11 +9,9 @@ * 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 + * SPDX-License-Identifier: Unlicense */ + #include void mp_clear_multi(mp_int *mp, ...) diff --git a/bn_mp_cmp.c b/bn_mp_cmp.c index b878a98..fdcb8d5 100644 --- a/bn_mp_cmp.c +++ b/bn_mp_cmp.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CMP_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* compare two ints (signed)*/ diff --git a/bn_mp_cmp_d.c b/bn_mp_cmp_d.c index 05b200b..643cac6 100644 --- a/bn_mp_cmp_d.c +++ b/bn_mp_cmp_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CMP_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* compare a digit */ diff --git a/bn_mp_cmp_mag.c b/bn_mp_cmp_mag.c index b50dae1..7f6ce27 100644 --- a/bn_mp_cmp_mag.c +++ b/bn_mp_cmp_mag.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CMP_MAG_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* compare maginitude of two ints (unsigned) */ diff --git a/bn_mp_cnt_lsb.c b/bn_mp_cnt_lsb.c index 2d85234..5d9b327 100644 --- a/bn_mp_cnt_lsb.c +++ b/bn_mp_cnt_lsb.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_CNT_LSB_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ static const int lnz[16] = { @@ -31,17 +28,17 @@ int mp_cnt_lsb(const mp_int *a) } /* scan lower digits until non-zero */ - for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} + for (x = 0; (x < a->used) && (a->dp[x] == 0u); x++) {} q = a->dp[x]; x *= DIGIT_BIT; /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { + if ((q & 1u) == 0u) { do { - qq = q & 15; + qq = q & 15u; x += lnz[qq]; q >>= 4; - } while (qq == 0); + } while (qq == 0u); } return x; } diff --git a/bn_mp_copy.c b/bn_mp_copy.c index 8d3aa4f..51e0239 100644 --- a/bn_mp_copy.c +++ b/bn_mp_copy.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_COPY_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* copy, b = a */ diff --git a/bn_mp_count_bits.c b/bn_mp_count_bits.c index 4bc369f..f7a05df 100644 --- a/bn_mp_count_bits.c +++ b/bn_mp_count_bits.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_COUNT_BITS_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* returns the number of bits in an int */ @@ -31,9 +28,9 @@ int mp_count_bits(const mp_int *a) /* take the last digit and count the bits in it */ q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { + while (q > (mp_digit)0) { ++r; - q >>= ((mp_digit) 1); + q >>= (mp_digit)1; } return r; } diff --git a/bn_mp_div.c b/bn_mp_div.c index fbb7599..44e3cb9 100644 --- a/bn_mp_div.c +++ b/bn_mp_div.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DIV_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ #ifdef BN_MP_DIV_SMALL @@ -47,7 +44,7 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) } - mp_set(&tq, 1); + 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) || @@ -150,8 +147,8 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; + if (norm < (DIGIT_BIT - 1)) { + norm = (DIGIT_BIT - 1) - norm; if ((res = mp_mul_2d(&x, norm, &x)) != MP_OKAY) { goto LBL_Y; } @@ -190,16 +187,16 @@ 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) << DIGIT_BIT) - 1); + q.dp[(i - t) - 1] = ((mp_digit)1 << (mp_digit)DIGIT_BIT) - (mp_digit)1; } else { mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) { + tmp = (mp_word)x.dp[i] << (mp_word)DIGIT_BIT; + tmp |= (mp_word)x.dp[i - 1]; + tmp /= (mp_word)y.dp[t]; + if (tmp > (mp_word)MP_MASK) { tmp = MP_MASK; } - q.dp[(i - t) - 1] = (mp_digit)(tmp & (mp_word)(MP_MASK)); + q.dp[(i - t) - 1] = (mp_digit)(tmp & (mp_word)MP_MASK); } /* while (q{i-t-1} * (yt * b + y{t-1})) > @@ -207,13 +204,13 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) do q{i-t-1} -= 1; */ - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1uL) & (mp_digit)MP_MASK; do { - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & (mp_digit)MP_MASK; /* find left hand */ mp_zero(&t1); - t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; + 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) { @@ -221,8 +218,8 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) } /* find right hand */ - t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; + t2.dp[0] = ((i - 2) < 0) ? 0u : x.dp[i - 2]; + t2.dp[1] = ((i - 1) < 0) ? 0u : x.dp[i - 1]; t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); @@ -252,7 +249,7 @@ int mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) goto LBL_Y; } - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1uL) & MP_MASK; } } diff --git a/bn_mp_div_2.c b/bn_mp_div_2.c index 9deaf00..e679d00 100644 --- a/bn_mp_div_2.c +++ b/bn_mp_div_2.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DIV_2_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* b = a/2 */ @@ -42,7 +39,7 @@ int mp_div_2(const mp_int *a, mp_int *b) r = 0; for (x = b->used - 1; x >= 0; x--) { /* get the carry for the next iteration */ - rr = *tmpa & 1; + rr = *tmpa & 1u; /* shift the current digit, add in carry and store */ *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); diff --git a/bn_mp_div_2d.c b/bn_mp_div_2d.c index 02ed998..912faaf 100644 --- a/bn_mp_div_2d.c +++ b/bn_mp_div_2d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DIV_2D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -44,20 +41,20 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) } /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { + if (b >= DIGIT_BIT) { mp_rshd(c, b / DIGIT_BIT); } /* shift any bit count < DIGIT_BIT */ D = (mp_digit)(b % DIGIT_BIT); - if (D != 0) { + if (D != 0u) { mp_digit *tmpc, mask, shift; /* mask */ - mask = (((mp_digit)1) << D) - 1; + mask = ((mp_digit)1 << D) - 1uL; /* shift for lsb */ - shift = DIGIT_BIT - D; + shift = (mp_digit)DIGIT_BIT - D; /* alias */ tmpc = c->dp + (c->used - 1); diff --git a/bn_mp_div_3.c b/bn_mp_div_3.c index 8be30f1..33a3432 100644 --- a/bn_mp_div_3.c +++ b/bn_mp_div_3.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DIV_3_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -24,7 +21,7 @@ int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) int res, ix; /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); + b = ((mp_word)1 << (mp_word)DIGIT_BIT) / (mp_word)3; if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { return res; @@ -34,11 +31,11 @@ int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) 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)DIGIT_BIT) | (mp_word)a->dp[ix]; - if (w >= 3) { + if (w >= 3u) { /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); + t = (w * (mp_word)b) >> (mp_word)DIGIT_BIT; /* now subtract 3 * [w/3] from w, to get the remainder */ w -= t+t+t; @@ -46,9 +43,9 @@ int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) /* fixup the remainder as required since * the optimization is not exact. */ - while (w >= 3) { - t += 1; - w -= 3; + while (w >= 3u) { + t += 1u; + w -= 3u; } } else { t = 0; diff --git a/bn_mp_div_d.c b/bn_mp_div_d.c index 2e6e431..d30ce33 100644 --- a/bn_mp_div_d.c +++ b/bn_mp_div_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DIV_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ static int s_is_power_of_two(mp_digit b, int *p) @@ -20,12 +17,12 @@ static int s_is_power_of_two(mp_digit b, int *p) int x; /* fast return if no power of two */ - if ((b == 0) || ((b & (b-1)) != 0)) { + if ((b == 0u) || ((b & (b-1u)) != 0u)) { return 0; } for (x = 0; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<dp[0] & (((mp_digit)1<<(mp_digit)ix) - 1uL); } if (c != NULL) { return mp_div_2d(a, ix, c, NULL); @@ -70,7 +67,7 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) #ifdef BN_MP_DIV_3_C /* three? */ - if (b == 3) { + if (b == 3u) { return mp_div_3(a, c, d); } #endif @@ -84,15 +81,15 @@ int mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) 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)DIGIT_BIT) | (mp_word)a->dp[ix]; if (w >= b) { t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); + w -= (mp_word)t * (mp_word)b; } else { t = 0; } - q.dp[ix] = (mp_digit)t; + q.dp[ix] = t; } if (d != NULL) { diff --git a/bn_mp_dr_is_modulus.c b/bn_mp_dr_is_modulus.c index 7aa98a2..4d0c8ce 100644 --- a/bn_mp_dr_is_modulus.c +++ b/bn_mp_dr_is_modulus.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DR_IS_MODULUS_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines if a number is a valid DR modulus */ diff --git a/bn_mp_dr_reduce.c b/bn_mp_dr_reduce.c index 6ee4f25..da24d17 100644 --- a/bn_mp_dr_reduce.c +++ b/bn_mp_dr_reduce.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DR_REDUCE_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -61,7 +58,7 @@ top: /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ for (i = 0; i < m; i++) { - r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; + r = ((mp_word)*tmpx2++ * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); } diff --git a/bn_mp_dr_setup.c b/bn_mp_dr_setup.c index bada458..f8c7e7e 100644 --- a/bn_mp_dr_setup.c +++ b/bn_mp_dr_setup.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_DR_SETUP_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines the setup value */ @@ -21,7 +18,7 @@ void mp_dr_setup(const mp_int *a, mp_digit *d) /* the casts are required if DIGIT_BIT is one less than * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - ((mp_word)a->dp[0])); + *d = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - (mp_word)a->dp[0]); } #endif diff --git a/bn_mp_exch.c b/bn_mp_exch.c index 62b899b..2f33877 100644 --- a/bn_mp_exch.c +++ b/bn_mp_exch.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXCH_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* swap the elements of two integers, for cases where you can't simply swap the diff --git a/bn_mp_export.c b/bn_mp_export.c index 88e9194..ea48e90 100644 --- a/bn_mp_export.c +++ b/bn_mp_export.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXPORT_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* based on gmp's mpz_export. @@ -38,33 +35,33 @@ int mp_export(void *rop, size_t *countp, int order, size_t size, } lint; lint.i = 0x01020304; - endian = (lint.c[0] == 4) ? -1 : 1; + endian = (lint.c[0] == '\x04') ? -1 : 1; } - odd_nails = (nails % 8); + odd_nails = (nails % 8u); odd_nail_mask = 0xff; for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); + odd_nail_mask ^= (unsigned char)(1u << (7u - i)); } - nail_bytes = nails / 8; + nail_bytes = nails / 8u; - bits = mp_count_bits(&t); - count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); + 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 - 1) - i)) * size) + - ((endian == -1) ? j : ((size - 1) - j)); + (((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) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); + *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) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { + 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; } diff --git a/bn_mp_expt_d.c b/bn_mp_expt_d.c index 0dd7d1c..e0df09c 100644 --- a/bn_mp_expt_d.c +++ b/bn_mp_expt_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXPT_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* wrapper function for mp_expt_d_ex() */ diff --git a/bn_mp_expt_d_ex.c b/bn_mp_expt_d_ex.c index 1934928..5a6f7b2 100644 --- a/bn_mp_expt_d_ex.c +++ b/bn_mp_expt_d_ex.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXPT_D_EX_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* calculate c = a**b using a square-multiply algorithm */ @@ -28,12 +25,12 @@ int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) } /* set initial result */ - mp_set(c, 1); + mp_set(c, 1uL); if (fast != 0) { - while (b > 0) { + while (b > 0u) { /* if the bit is set multiply */ - if ((b & 1) != 0) { + if ((b & 1u) != 0u) { if ((res = mp_mul(c, &g, c)) != MP_OKAY) { mp_clear(&g); return res; @@ -41,7 +38,7 @@ int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) } /* square */ - if (b > 1) { + if (b > 1u) { if ((res = mp_sqr(&g, &g)) != MP_OKAY) { mp_clear(&g); return res; @@ -52,7 +49,7 @@ int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) b >>= 1; } } else { - for (x = 0; x < DIGIT_BIT; x++) { + for (x = 0; x < (unsigned)DIGIT_BIT; x++) { /* square */ if ((res = mp_sqr(c, c)) != MP_OKAY) { mp_clear(&g); @@ -60,7 +57,7 @@ int mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) } /* if the bit is set multiply */ - if ((b & (mp_digit)(((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((b & ((mp_digit)1 << (DIGIT_BIT - 1))) != 0u) { if ((res = mp_mul(c, &g, c)) != MP_OKAY) { mp_clear(&g); return res; diff --git a/bn_mp_exptmod.c b/bn_mp_exptmod.c index 3de3ee6..c400b7e 100644 --- a/bn_mp_exptmod.c +++ b/bn_mp_exptmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXPTMOD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ @@ -21,15 +18,6 @@ * 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) */ - -#define BN_MP_REDUCE_IS_2K_L_C -#define BN_MP_REDUCE_2K_L_C -#define BN_S_MP_EXPTMOD_C -#define BN_MP_DR_IS_MODULUS_C -#define BN_MP_REDUCE_IS_2K_C -#define BN_MP_EXPTMOD_FAST_C -#define BN_MP_INVMOD_C - int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) { int dr; diff --git a/bn_mp_exptmod_fast.c b/bn_mp_exptmod_fast.c index a20693a..4de9c5f 100644 --- a/bn_mp_exptmod_fast.c +++ b/bn_mp_exptmod_fast.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXPTMOD_FAST_C) +#include "tommath_private.h" +#ifdef BN_MP_EXPTMOD_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -29,14 +26,6 @@ # define TAB_SIZE 256 #endif -#define BN_MP_MONTGOMERY_SETUP_C -#define BN_FAST_MP_MONTGOMERY_REDUCE_C -#define BN_MP_MONTGOMERY_REDUCE_C -#define BN_MP_DR_SETUP_C -#define BN_MP_DR_REDUCE_C -#define BN_MP_REDUCE_2K_SETUP_C -#define BN_MP_REDUCE_2K_C -#define BN_MP_MONTGOMERY_CALC_NORMALIZATION_C int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode) { mp_int M[TAB_SIZE], res; @@ -47,7 +36,7 @@ int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y * one of many reduction algorithms without modding the guts of * the code with if statements everywhere. */ - int (*redux)(mp_int *,const mp_int *,mp_digit); + int (*redux)(mp_int *x, const mp_int *n, mp_digit rho); /* find window size */ x = mp_count_bits(X); @@ -104,7 +93,7 @@ int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y /* automatically pick the comba one if available (saves quite a few calls/ifs) */ #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if ((((P->used * 2) + 1) < MP_WARRAY) && + if ((((P->used * 2) + 1) < (int)MP_WARRAY) && (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { redux = fast_mp_montgomery_reduce; } else @@ -168,22 +157,22 @@ int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y goto LBL_RES; #endif } else { - mp_set(&res, 1); + mp_set(&res, 1uL); if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { goto LBL_RES; } } /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy(&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { + if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { goto LBL_RES; } for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr(&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { + if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { goto LBL_RES; } - if ((err = redux(&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { + if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, mp)) != MP_OKAY) { goto LBL_RES; } } diff --git a/bn_mp_exteuclid.c b/bn_mp_exteuclid.c index 6bb7642..c23a6c1 100644 --- a/bn_mp_exteuclid.c +++ b/bn_mp_exteuclid.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_EXTEUCLID_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Extended euclidean algorithm of (a, b) produces @@ -28,76 +25,76 @@ 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, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { + mp_set(&u1, 1uL); + if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto LBL_ERR; } /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { + mp_set(&v2, 1uL); + if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto LBL_ERR; } /* loop while v3 != 0 */ while (mp_iszero(&v3) == MP_NO) { /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { + 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) { + if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { + if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { + if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { + if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { + if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { + 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) { + if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { + if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { + 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) { + if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { + if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { + 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) { + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto LBL_ERR; } } diff --git a/bn_mp_fread.c b/bn_mp_fread.c index f0e86d1..9c935cb 100644 --- a/bn_mp_fread.c +++ b/bn_mp_fread.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_FREAD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ #ifndef LTM_NO_FILE @@ -20,13 +17,14 @@ int mp_fread(mp_int *a, int radix, FILE *stream) { int err, ch, neg, y; + unsigned pos; /* clear a */ mp_zero(a); /* if first digit is - then set negative */ ch = fgetc(stream); - if (ch == '-') { + if (ch == (int)'-') { neg = MP_NEG; ch = fgetc(stream); } else { @@ -34,27 +32,28 @@ int mp_fread(mp_int *a, int radix, FILE *stream) } for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } + pos = (unsigned)(ch - (int)'('); + if (mp_s_rmap_reverse_sz < pos) { + break; } - if (y == radix) { + + y = (int)mp_s_rmap_reverse[pos]; + + if ((y == 0xff) || (y >= radix)) { break; } /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { + if ((err = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) { return err; } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { + if ((err = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { return err; } ch = fgetc(stream); } - if (mp_cmp_d(a, 0) != MP_EQ) { + if (mp_cmp_d(a, 0uL) != MP_EQ) { a->sign = neg; } diff --git a/bn_mp_fwrite.c b/bn_mp_fwrite.c index 56b7844..9f0c3df 100644 --- a/bn_mp_fwrite.c +++ b/bn_mp_fwrite.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_FWRITE_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ #ifndef LTM_NO_FILE @@ -25,7 +22,7 @@ int mp_fwrite(const mp_int *a, int radix, FILE *stream) return err; } - buf = OPT_CAST(char) XMALLOC(len); + buf = OPT_CAST(char) XMALLOC((size_t)len); if (buf == NULL) { return MP_MEM; } @@ -36,7 +33,7 @@ int mp_fwrite(const mp_int *a, int radix, FILE *stream) } for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { + if (fputc((int)buf[x], stream) == EOF) { XFREE(buf); return MP_VAL; } diff --git a/bn_mp_gcd.c b/bn_mp_gcd.c index fdad5cf..05030c2 100644 --- a/bn_mp_gcd.c +++ b/bn_mp_gcd.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_GCD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Greatest Common Divisor using the binary method */ diff --git a/bn_mp_get_int.c b/bn_mp_get_int.c index 6e241fb..13eddbf 100644 --- a/bn_mp_get_int.c +++ b/bn_mp_get_int.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_GET_INT_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* get the lower 32-bits of an mp_int */ @@ -26,7 +23,7 @@ unsigned long mp_get_int(const mp_int *a) } /* 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; + 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); diff --git a/bn_mp_get_long.c b/bn_mp_get_long.c index 1f5aa9c..a4d05d6 100644 --- a/bn_mp_get_long.c +++ b/bn_mp_get_long.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_GET_LONG_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* get the lower unsigned long of an mp_int, platform dependent */ @@ -26,7 +23,7 @@ unsigned long mp_get_long(const mp_int *a) } /* 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; + 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); @@ -39,3 +36,7 @@ unsigned long mp_get_long(const mp_int *a) return res; } #endif + +/* ref: $Format:%D$ */ +/* git commit: $Format:%H$ */ +/* commit time: $Format:%ai$ */ diff --git a/bn_mp_get_long_long.c b/bn_mp_get_long_long.c index ae19aed..4201b4d 100644 --- a/bn_mp_get_long_long.c +++ b/bn_mp_get_long_long.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_GET_LONG_LONG_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* get the lower unsigned long long of an mp_int, platform dependent */ @@ -26,7 +23,7 @@ unsigned long long mp_get_long_long(const mp_int *a) } /* 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; + 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); @@ -39,3 +36,7 @@ unsigned long long mp_get_long_long(const mp_int *a) return res; } #endif + +/* ref: $Format:%D$ */ +/* git commit: $Format:%H$ */ +/* commit time: $Format:%ai$ */ diff --git a/bn_mp_grow.c b/bn_mp_grow.c index 5aa308a..1d92b29 100644 --- a/bn_mp_grow.c +++ b/bn_mp_grow.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_GROW_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* grow as required */ @@ -32,7 +29,7 @@ int mp_grow(mp_int *a, int size) * 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); + tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * (size_t)size); if (tmp == NULL) { /* reallocation failed but "a" is still valid [can be freed] */ return MP_MEM; diff --git a/bn_mp_import.c b/bn_mp_import.c index 5ff729e..066c5b3 100644 --- a/bn_mp_import.c +++ b/bn_mp_import.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_IMPORT_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* based on gmp's mpz_import. @@ -34,27 +31,27 @@ int mp_import(mp_int *rop, size_t count, int order, size_t size, } lint; lint.i = 0x01020304; - endian = (lint.c[0] == 4) ? -1 : 1; + endian = (lint.c[0] == '\x04') ? -1 : 1; } - odd_nails = (nails % 8); + odd_nails = (nails % 8u); odd_nail_mask = 0xff; for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); + odd_nail_mask ^= (unsigned char)(1u << (7u - i)); } - nail_bytes = nails / 8; + 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 - 1) - i)) * size) + - ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes))); + (((order == 1) ? i : ((count - 1u) - i)) * size) + + ((endian == 1) ? (j + nail_bytes) : (((size - 1u) - j) - nail_bytes))); - if ((result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { + if ((result = mp_mul_2d(rop, (j == 0u) ? (int)(8u - odd_nails) : 8, rop)) != MP_OKAY) { return result; } - rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; + rop->dp[0] |= (j == 0u) ? (mp_digit)(byte & odd_nail_mask) : (mp_digit)byte; rop->used += 1; } } diff --git a/bn_mp_init.c b/bn_mp_init.c index 69a805d..7520089 100644 --- a/bn_mp_init.c +++ b/bn_mp_init.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_C) +#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 @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* init a new mp_int */ @@ -22,7 +18,7 @@ int mp_init(mp_int *a) int i; /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * MP_PREC); + a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)MP_PREC); if (a->dp == NULL) { return MP_MEM; } diff --git a/bn_mp_init_copy.c b/bn_mp_init_copy.c index fb0c077..4739a98 100644 --- a/bn_mp_init_copy.c +++ b/bn_mp_init_copy.c @@ -1,6 +1,5 @@ -#include - -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_COPY_C) +#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 @@ -10,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* creates "a" then copies b into it */ diff --git a/bn_mp_init_multi.c b/bn_mp_init_multi.c index 632ea09..7f8bd04 100644 --- a/bn_mp_init_multi.c +++ b/bn_mp_init_multi.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_MULTI_C) +#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 @@ -9,11 +9,9 @@ * 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 + * SPDX-License-Identifier: Unlicense */ + #include int mp_init_multi(mp_int *mp, ...) diff --git a/bn_mp_init_set.c b/bn_mp_init_set.c index d03f5a8..36606af 100644 --- a/bn_mp_init_set.c +++ b/bn_mp_init_set.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_SET_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* initialize and set a digit */ diff --git a/bn_mp_init_set_int.c b/bn_mp_init_set_int.c index 1b85598..7d81811 100644 --- a/bn_mp_init_set_int.c +++ b/bn_mp_init_set_int.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_SET_INT_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* initialize and set a digit */ diff --git a/bn_mp_init_size.c b/bn_mp_init_size.c index 95d231b..9b933fb 100644 --- a/bn_mp_init_size.c +++ b/bn_mp_init_size.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INIT_SIZE_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* init an mp_init for a given size */ @@ -24,7 +21,7 @@ int mp_init_size(mp_int *a, int size) size += (MP_PREC * 2) - (size % MP_PREC); /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * size); + a->dp = OPT_CAST(mp_digit) XMALLOC(sizeof(mp_digit) * (size_t)size); if (a->dp == NULL) { return MP_MEM; } diff --git a/bn_mp_invmod.c b/bn_mp_invmod.c index c266de3..f1a482d 100644 --- a/bn_mp_invmod.c +++ b/bn_mp_invmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INVMOD_C) +#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 @@ -9,26 +9,20 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* hac 14.61, pp608 */ - -#define BN_FAST_MP_INVMOD_C -#define BN_MP_INVMOD_SLOW_C int mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) { - /* b cannot be negative */ - if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { + /* 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) && (mp_cmp_d(b, 1) != MP_EQ)) { + if ((mp_isodd(b) == MP_YES)) { return fast_mp_invmod(a, b, c); } #endif diff --git a/bn_mp_invmod_slow.c b/bn_mp_invmod_slow.c index 9bb50cf..e60cf04 100644 --- a/bn_mp_invmod_slow.c +++ b/bn_mp_invmod_slow.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_INVMOD_SLOW_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* hac 14.61, pp608 */ @@ -53,8 +50,8 @@ int mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) if ((res = mp_copy(&y, &v)) != MP_OKAY) { goto LBL_ERR; } - mp_set(&A, 1); - mp_set(&D, 1); + mp_set(&A, 1uL); + mp_set(&D, 1uL); top: /* 4. while u is even do */ @@ -143,13 +140,13 @@ top: /* now a = C, b = D, gcd == g*v */ /* if v != 1 then there is no inverse */ - if (mp_cmp_d(&v, 1) != MP_EQ) { + if (mp_cmp_d(&v, 1uL) != MP_EQ) { res = MP_VAL; goto LBL_ERR; } /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { + while (mp_cmp_d(&C, 0uL) == MP_LT) { if ((res = mp_add(&C, b, &C)) != MP_OKAY) { goto LBL_ERR; } diff --git a/bn_mp_is_square.c b/bn_mp_is_square.c index 3be3694..5363a47 100644 --- a/bn_mp_is_square.c +++ b/bn_mp_is_square.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_IS_SQUARE_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -58,15 +55,15 @@ int mp_is_square(const mp_int *arg, int *ret) } /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg, 0)] == 1) { + if (rem_128[127u & DIGIT(arg, 0)] == (char)1) { return MP_OKAY; } /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg, 105, &c)) != MP_OKAY) { + if ((res = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { return res; } - if (rem_105[c] == 1) { + if (rem_105[c] == (char)1) { return MP_OKAY; } @@ -75,31 +72,31 @@ int mp_is_square(const mp_int *arg, int *ret) return res; } if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } r = mp_get_int(&t); /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res + * free "t" so the easiest way is to goto LBL_ERR. We know that res * is already equal to MP_OKAY from the mp_mod call */ - if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; - if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; - if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; - if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; - if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; - if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; - if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) 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; + goto LBL_ERR; } if ((res = mp_sqr(&t, &t)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } *ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO; -ERR: +LBL_ERR: mp_clear(&t); return res; } diff --git a/bn_mp_jacobi.c b/bn_mp_jacobi.c index eefb6d2..1eb3dd4 100644 --- a/bn_mp_jacobi.c +++ b/bn_mp_jacobi.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_JACOBI_C) +#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 @@ -9,108 +9,25 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* 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. + * Kept for legacy reasons, please use mp_kronecker() instead */ 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, 0) != MP_GT) { + 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, 1) == MP_EQ) { - *c = 1; - } else { - *c = 0; - } - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d(a, 1) == 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 ((k & 1) == 0) { - 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] & 7; - - if ((residue == 1) || (residue == 7)) { - s = 1; - } else if ((residue == 3) || (residue == 5)) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if (((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d(&a1, 1) == 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; + return mp_kronecker(a, n, c); } #endif diff --git a/bn_mp_karatsuba_mul.c b/bn_mp_karatsuba_mul.c index d8476ea..cb75bca 100644 --- a/bn_mp_karatsuba_mul.c +++ b/bn_mp_karatsuba_mul.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_KARATSUBA_MUL_C) +#include "tommath_private.h" +#ifdef BN_MP_KARATSUBA_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -60,7 +57,7 @@ int mp_karatsuba_mul(const mp_int *a, const mp_int *b, mp_int *c) /* init copy all the temps */ if (mp_init_size(&x0, B) != MP_OKAY) - goto ERR; + goto LBL_ERR; if (mp_init_size(&x1, a->used - B) != MP_OKAY) goto X0; if (mp_init_size(&y0, B) != MP_OKAY) @@ -164,7 +161,7 @@ X1: mp_clear(&x1); X0: mp_clear(&x0); -ERR: +LBL_ERR: return err; } #endif diff --git a/bn_mp_karatsuba_sqr.c b/bn_mp_karatsuba_sqr.c index 2b43102..c219a37 100644 --- a/bn_mp_karatsuba_sqr.c +++ b/bn_mp_karatsuba_sqr.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_KARATSUBA_SQR_C) +#include "tommath_private.h" +#ifdef BN_MP_KARATSUBA_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Karatsuba squaring, computes b = a*a using three @@ -37,7 +34,7 @@ int mp_karatsuba_sqr(const mp_int *a, mp_int *b) /* init copy all the temps */ if (mp_init_size(&x0, B) != MP_OKAY) - goto ERR; + goto LBL_ERR; if (mp_init_size(&x1, a->used - B) != MP_OKAY) goto X0; @@ -117,7 +114,7 @@ X1: mp_clear(&x1); X0: mp_clear(&x0); -ERR: +LBL_ERR: return err; } #endif diff --git a/bn_mp_lcm.c b/bn_mp_lcm.c index 2aa772d..cb9fa3d 100644 --- a/bn_mp_lcm.c +++ b/bn_mp_lcm.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_LCM_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes least common multiple as |a*b|/(a, b) */ diff --git a/bn_mp_lshd.c b/bn_mp_lshd.c index 387498d..6762a10 100644 --- a/bn_mp_lshd.c +++ b/bn_mp_lshd.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_LSHD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* shift left a certain amount of digits */ @@ -24,6 +21,10 @@ int mp_lshd(mp_int *a, int b) if (b <= 0) { return MP_OKAY; } + /* no need to shift 0 around */ + if (mp_iszero(a) == MP_YES) { + return MP_OKAY; + } /* grow to fit the new digits */ if (a->alloc < (a->used + b)) { diff --git a/bn_mp_mod.c b/bn_mp_mod.c index 1309496..fa022a7 100644 --- a/bn_mp_mod.c +++ b/bn_mp_mod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MOD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ diff --git a/bn_mp_mod_2d.c b/bn_mp_mod_2d.c index 389d7ac..759198b 100644 --- a/bn_mp_mod_2d.c +++ b/bn_mp_mod_2d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MOD_2D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* calc a value mod 2**b */ @@ -27,7 +24,7 @@ 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 >= (int)(a->used * DIGIT_BIT)) { + if (b >= (a->used * DIGIT_BIT)) { res = mp_copy(a, c); return res; } @@ -43,7 +40,7 @@ int mp_mod_2d(const mp_int *a, int b, mp_int *c) } /* clear the digit that is not completely outside/inside the modulus */ c->dp[b / DIGIT_BIT] &= - (mp_digit)((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); + ((mp_digit)1 << (mp_digit)(b % DIGIT_BIT)) - (mp_digit)1; mp_clamp(c); return MP_OKAY; } diff --git a/bn_mp_mod_d.c b/bn_mp_mod_d.c index 15027bc..f58b6b5 100644 --- a/bn_mp_mod_d.c +++ b/bn_mp_mod_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MOD_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) diff --git a/bn_mp_montgomery_calc_normalization.c b/bn_mp_montgomery_calc_normalization.c index 19d7d10..848378c 100644 --- a/bn_mp_montgomery_calc_normalization.c +++ b/bn_mp_montgomery_calc_normalization.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MONTGOMERY_CALC_NORMALIZATION_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* @@ -33,7 +30,7 @@ int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) return res; } } else { - mp_set(a, 1); + mp_set(a, 1uL); bits = 1; } diff --git a/bn_mp_montgomery_reduce.c b/bn_mp_montgomery_reduce.c index e5b5e1d..382c7cc 100644 --- a/bn_mp_montgomery_reduce.c +++ b/bn_mp_montgomery_reduce.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MONTGOMERY_REDUCE_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -28,9 +25,10 @@ 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 < MP_WARRAY) && + if ((digs < (int)MP_WARRAY) && + (x->used <= (int)MP_WARRAY) && (n->used < - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { + (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { return fast_mp_montgomery_reduce(x, n, rho); } @@ -72,19 +70,19 @@ int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) for (iy = 0; iy < n->used; iy++) { /* compute product and sum */ r = ((mp_word)mu * (mp_word)*tmpn++) + - (mp_word) u + (mp_word) *tmpx; + (mp_word)u + (mp_word)*tmpx; /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); + *tmpx++ = (mp_digit)(r & (mp_word)MP_MASK); } /* At this point the ix'th digit of x should be zero */ /* propagate carries upwards as required*/ - while (u != 0) { + while (u != 0u) { *tmpx += u; u = *tmpx >> DIGIT_BIT; *tmpx++ &= MP_MASK; diff --git a/bn_mp_montgomery_setup.c b/bn_mp_montgomery_setup.c index 9806d05..26c632a 100644 --- a/bn_mp_montgomery_setup.c +++ b/bn_mp_montgomery_setup.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MONTGOMERY_SETUP_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* setups the montgomery reduction stuff */ @@ -30,24 +27,24 @@ int mp_montgomery_setup(const mp_int *n, mp_digit *rho) */ b = n->dp[0]; - if ((b & 1) == 0) { + if ((b & 1u) == 0u) { return MP_VAL; } - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ + x = (((b + 2u) & 4u) << 1) + b; /* here x*a==1 mod 2**4 */ + x *= 2u - (b * x); /* here x*a==1 mod 2**8 */ #if !defined(MP_8BIT) - x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ + x *= 2u - (b * x); /* here x*a==1 mod 2**16 */ #endif #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ + x *= 2u - (b * x); /* here x*a==1 mod 2**32 */ #endif #ifdef MP_64BIT - x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ + x *= 2u - (b * x); /* here x*a==1 mod 2**64 */ #endif /* rho = -1/m mod b */ - *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << (mp_word)DIGIT_BIT) - x) & MP_MASK; return MP_OKAY; } diff --git a/bn_mp_mul.c b/bn_mp_mul.c index 5214d54..f83b1b7 100644 --- a/bn_mp_mul.c +++ b/bn_mp_mul.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MUL_C) +#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 @@ -9,18 +9,10 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* high level multiplication (handles sign) */ - -#define BN_MP_TOOM_MUL_C -#define BN_MP_KARATSUBA_MUL_C -#define BN_FAST_S_MP_MUL_DIGS_C -#define BN_S_MP_MUL_DIGS_C int mp_mul(const mp_int *a, const mp_int *b, mp_int *c) { int res, neg; @@ -48,9 +40,9 @@ int mp_mul(const mp_int *a, const mp_int *b, mp_int *c) int digs = a->used + b->used + 1; #ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && + if ((digs < (int)MP_WARRAY) && (MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { + (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 diff --git a/bn_mp_mul_2.c b/bn_mp_mul_2.c index 2572863..2ed5516 100644 --- a/bn_mp_mul_2.c +++ b/bn_mp_mul_2.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MUL_2_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* b = a*2 */ @@ -46,10 +43,10 @@ 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)(DIGIT_BIT - 1); /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; + *tmpb++ = ((*tmpa++ << 1uL) | r) & MP_MASK; /* copy the carry that would be from the source * digit into the next iteration @@ -58,7 +55,7 @@ int mp_mul_2(const mp_int *a, mp_int *b) } /* new leading digit? */ - if (r != 0) { + if (r != 0u) { /* add a MSB which is always 1 at this point */ *tmpb = 1; ++(b->used); diff --git a/bn_mp_mul_2d.c b/bn_mp_mul_2d.c index 735e642..9ea548d 100644 --- a/bn_mp_mul_2d.c +++ b/bn_mp_mul_2d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MUL_2D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* shift left by a certain bit count */ @@ -28,14 +25,14 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c) } } - if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { + if (c->alloc < (c->used + (b / DIGIT_BIT) + 1)) { if ((res = mp_grow(c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } } /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { + if (b >= DIGIT_BIT) { if ((res = mp_lshd(c, b / DIGIT_BIT)) != MP_OKAY) { return res; } @@ -43,15 +40,15 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c) /* shift any bit count < DIGIT_BIT */ d = (mp_digit)(b % DIGIT_BIT); - if (d != 0) { + if (d != 0u) { mp_digit *tmpc, shift, mask, r, rr; int x; /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; + mask = ((mp_digit)1 << d) - (mp_digit)1; /* shift for msbs */ - shift = DIGIT_BIT - d; + shift = (mp_digit)DIGIT_BIT - d; /* alias */ tmpc = c->dp; @@ -71,7 +68,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c) } /* set final carry */ - if (r != 0) { + if (r != 0u) { c->dp[(c->used)++] = r; } } diff --git a/bn_mp_mul_d.c b/bn_mp_mul_d.c index 7f37d64..936e133 100644 --- a/bn_mp_mul_d.c +++ b/bn_mp_mul_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MUL_D_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* multiply by a digit */ @@ -50,10 +47,10 @@ int mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit)(r & ((mp_word)MP_MASK)); + *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)DIGIT_BIT); } /* store final carry [if any] and increment ix offset */ diff --git a/bn_mp_mulmod.c b/bn_mp_mulmod.c index af8e7ee..4192452 100644 --- a/bn_mp_mulmod.c +++ b/bn_mp_mulmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_MULMOD_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* d = a * b (mod c) */ diff --git a/bn_mp_n_root.c b/bn_mp_n_root.c index e205a1c..c14771f 100644 --- a/bn_mp_n_root.c +++ b/bn_mp_n_root.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_N_ROOT_C) +#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 @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* wrapper function for mp_n_root_ex() diff --git a/bn_mp_n_root_ex.c b/bn_mp_n_root_ex.c index 7df0cc5..ebc08ba 100644 --- a/bn_mp_n_root_ex.c +++ b/bn_mp_n_root_ex.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_N_ROOT_EX_C) +#include "tommath_private.h" +#ifdef BN_MP_N_ROOT_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* find the n'th root of an integer @@ -31,7 +28,7 @@ int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) int res; /* input must be positive if b is even */ - if (((b & 1) == 0) && (a->sign == MP_NEG)) { + if (((b & 1u) == 0u) && (a->sign == MP_NEG)) { return MP_VAL; } @@ -52,7 +49,7 @@ int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) a_.sign = MP_ZPOS; /* t2 = 2 */ - mp_set(&t2, 2); + mp_set(&t2, 2uL); do { /* t1 = t2 */ @@ -63,7 +60,7 @@ int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ /* t3 = t1**(b-1) */ - if ((res = mp_expt_d_ex(&t1, b - 1, &t3, fast)) != MP_OKAY) { + if ((res = mp_expt_d_ex(&t1, b - 1u, &t3, fast)) != MP_OKAY) { goto LBL_T3; } @@ -101,7 +98,7 @@ int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) } if (mp_cmp(&t2, &a_) == MP_GT) { - if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) { + if ((res = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) { goto LBL_T3; } } else { diff --git a/bn_mp_neg.c b/bn_mp_neg.c index 1f6fb23..9020525 100644 --- a/bn_mp_neg.c +++ b/bn_mp_neg.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_NEG_C) +#include "tommath_private.h" +#ifdef BN_MP_NEG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* b = -a */ diff --git a/bn_mp_or.c b/bn_mp_or.c index 30bac9b..a0f2711 100644 --- a/bn_mp_or.c +++ b/bn_mp_or.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_OR_C) +#include "tommath_private.h" +#ifdef BN_MP_OR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* OR two ints together */ diff --git a/bn_mp_prime_fermat.c b/bn_mp_prime_fermat.c index e5c644a..63ced96 100644 --- a/bn_mp_prime_fermat.c +++ b/bn_mp_prime_fermat.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_FERMAT_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_FERMAT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* performs one Fermat test. @@ -32,7 +29,7 @@ int mp_prime_fermat(const mp_int *a, const mp_int *b, int *result) *result = MP_NO; /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { + if (mp_cmp_d(b, 1uL) != MP_GT) { return MP_VAL; } diff --git a/bn_mp_prime_is_divisible.c b/bn_mp_prime_is_divisible.c index 04fb179..0e6e2f3 100644 --- a/bn_mp_prime_is_divisible.c +++ b/bn_mp_prime_is_divisible.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_IS_DIVISIBLE_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_IS_DIVISIBLE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines if an integers is divisible by one @@ -35,7 +32,7 @@ int mp_prime_is_divisible(const mp_int *a, int *result) } /* is the residue zero? */ - if (res == 0) { + if (res == 0u) { *result = MP_YES; return MP_OKAY; } diff --git a/bn_mp_prime_is_prime.c b/bn_mp_prime_is_prime.c index c48eeed..15637c8 100644 --- a/bn_mp_prime_is_prime.c +++ b/bn_mp_prime_is_prime.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_IS_PRIME_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_IS_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,39 +9,72 @@ * 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 + * SPDX-License-Identifier: Unlicense */ -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than +/* portable integer log of two with small footprint */ +static unsigned int s_floor_ilog2(int value) +{ + unsigned int r = 0; + while ((value >>= 1) != 0) { + r++; + } + return r; +} + - * - * Sets result to 1 if probably prime, 0 otherwise - */ int mp_prime_is_prime(const mp_int *a, int t, int *result) { mp_int b; - int ix, err, res; + int ix, err, res, p_max = 0, size_a, len; + unsigned int fips_rand, mask; /* default to no */ *result = MP_NO; /* valid value of t? */ - if ((t <= 0) || (t > PRIME_SIZE)) { + if (t > PRIME_SIZE) { return MP_VAL; } + /* Some shortcuts */ + /* N > 3 */ + if (a->used == 1) { + if ((a->dp[0] == 0u) || (a->dp[0] == 1u)) { + *result = 0; + return MP_OKAY; + } + if (a->dp[0] == 2u) { + *result = 1; + return MP_OKAY; + } + } + + /* N must be odd */ + if (mp_iseven(a) == MP_YES) { + return MP_OKAY; + } + /* N is not a perfect square: floor(sqrt(N))^2 != N */ + if ((err = mp_is_square(a, &res)) != MP_OKAY) { + return err; + } + if (res != 0) { + return MP_OKAY; + } + /* is the input equal to one of the primes in the table? */ for (ix = 0; ix < PRIME_SIZE; ix++) { if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; + *result = MP_YES; return MP_OKAY; } } +#ifdef MP_8BIT + /* The search in the loop above was exhaustive in this case */ + if ((a->used == 1) && (PRIME_SIZE >= 31)) { + return MP_OKAY; + } +#endif /* first perform trial division */ if ((err = mp_prime_is_divisible(a, &res)) != MP_OKAY) { @@ -53,22 +86,274 @@ int mp_prime_is_prime(const mp_int *a, int t, int *result) return MP_OKAY; } - /* now perform the miller-rabin rounds */ - if ((err = mp_init(&b)) != MP_OKAY) { + /* + Run the Miller-Rabin test with base 2 for the BPSW test. + */ + if ((err = mp_init_set(&b, 2uL)) != MP_OKAY) { return err; } - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set(&b, ltm_prime_tab[ix]); + if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } + /* + Rumours have it that Mathematica does a second M-R test with base 3. + Other rumours have it that their strong L-S test is slightly different. + It does not hurt, though, beside a bit of extra runtime. + */ + b.dp[0]++; + if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } - if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + /* + * Both, the Frobenius-Underwood test and the the Lucas-Selfridge test are quite + * slow so if speed is an issue, define LTM_USE_FIPS_ONLY to use M-R tests with + * bases 2, 3 and t random bases. + */ +#ifndef LTM_USE_FIPS_ONLY + if (t >= 0) { + /* + * Use a Frobenius-Underwood test instead of the Lucas-Selfridge test for + * MP_8BIT (It is unknown if the Lucas-Selfridge test works with 16-bit + * integers but the necesssary analysis is on the todo-list). + */ +#if defined (MP_8BIT) || defined (LTM_USE_FROBENIUS_TEST) + err = mp_prime_frobenius_underwood(a, &res); + if ((err != MP_OKAY) && (err != MP_ITER)) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } +#else + if ((err = mp_prime_strong_lucas_selfridge(a, &res)) != MP_OKAY) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } +#endif + } +#endif + + /* run at least one Miller-Rabin test with a random base */ + if (t == 0) { + t = 1; + } + + /* + abs(t) extra rounds of M-R to extend the range of primes it can find if t < 0. + Only recommended if the input range is known to be < 3317044064679887385961981 + + It uses the bases for a deterministic M-R test if input < 3317044064679887385961981 + The caller has to check the size. + + Not for cryptographic use because with known bases strong M-R pseudoprimes can + be constructed. Use at least one M-R test with a random base (t >= 1). + + The 1119 bit large number + + 80383745745363949125707961434194210813883768828755814583748891752229742737653\ + 33652186502336163960045457915042023603208766569966760987284043965408232928738\ + 79185086916685732826776177102938969773947016708230428687109997439976544144845\ + 34115587245063340927902227529622941498423068816854043264575340183297861112989\ + 60644845216191652872597534901 + + has been constructed by F. Arnault (F. Arnault, "Rabin-Miller primality test: + composite numbers which pass it.", Mathematics of Computation, 1995, 64. Jg., + Nr. 209, S. 355-361), is a semiprime with the two factors + + 40095821663949960541830645208454685300518816604113250877450620473800321707011\ + 96242716223191597219733582163165085358166969145233813917169287527980445796800\ + 452592031836601 + + 20047910831974980270915322604227342650259408302056625438725310236900160853505\ + 98121358111595798609866791081582542679083484572616906958584643763990222898400\ + 226296015918301 + + and it is a strong pseudoprime to all forty-six prime M-R bases up to 200 + + It does not fail the strong Bailley-PSP test as implemented here, it is just + given as an example, if not the reason to use the BPSW-test instead of M-R-tests + with a sequence of primes 2...n. + + */ + if (t < 0) { + t = -t; + /* + Sorenson, Jonathan; Webster, Jonathan (2015). + "Strong Pseudoprimes to Twelve Prime Bases". + */ + /* 0x437ae92817f9fc85b7e5 = 318665857834031151167461 */ + if ((err = mp_read_radix(&b, "437ae92817f9fc85b7e5", 16)) != MP_OKAY) { goto LBL_B; } - if (res == MP_NO) { + if (mp_cmp(a, &b) == MP_LT) { + p_max = 12; + } else { + /* 0x2be6951adc5b22410a5fd = 3317044064679887385961981 */ + if ((err = mp_read_radix(&b, "2be6951adc5b22410a5fd", 16)) != MP_OKAY) { + goto LBL_B; + } + + if (mp_cmp(a, &b) == MP_LT) { + p_max = 13; + } else { + err = MP_VAL; + goto LBL_B; + } + } + + /* for compatibility with the current API (well, compatible within a sign's width) */ + if (p_max < t) { + p_max = t; + } + + if (p_max > PRIME_SIZE) { + err = MP_VAL; goto LBL_B; } + /* we did bases 2 and 3 already, skip them */ + for (ix = 2; ix < p_max; ix++) { + mp_set(&b, ltm_prime_tab[ix]); + if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } + } + } + /* + Do "t" M-R tests with random bases between 3 and "a". + See Fips 186.4 p. 126ff + */ + else if (t > 0) { + /* + * The mp_digit's have a defined bit-size but the size of the + * array a.dp is a simple 'int' and this library can not assume full + * compliance to the current C-standard (ISO/IEC 9899:2011) because + * it gets used for small embeded processors, too. Some of those MCUs + * have compilers that one cannot call standard compliant by any means. + * Hence the ugly type-fiddling in the following code. + */ + size_a = mp_count_bits(a); + mask = (1u << s_floor_ilog2(size_a)) - 1u; + /* + Assuming the General Rieman hypothesis (never thought to write that in a + comment) the upper bound can be lowered to 2*(log a)^2. + E. Bach, "Explicit bounds for primality testing and related problems," + Math. Comp. 55 (1990), 355-380. + + size_a = (size_a/10) * 7; + len = 2 * (size_a * size_a); + + E.g.: a number of size 2^2048 would be reduced to the upper limit + + floor(2048/10)*7 = 1428 + 2 * 1428^2 = 4078368 + + (would have been ~4030331.9962 with floats and natural log instead) + That number is smaller than 2^28, the default bit-size of mp_digit. + */ + + /* + How many tests, you might ask? Dana Jacobsen of Math::Prime::Util fame + does exactly 1. In words: one. Look at the end of _GMP_is_prime() in + Math-Prime-Util-GMP-0.50/primality.c if you do not believe it. + + The function mp_rand() goes to some length to use a cryptographically + good PRNG. That also means that the chance to always get the same base + in the loop is non-zero, although very low. + If the BPSW test and/or the addtional Frobenious test have been + performed instead of just the Miller-Rabin test with the bases 2 and 3, + a single extra test should suffice, so such a very unlikely event + will not do much harm. + + To preemptivly answer the dangling question: no, a witness does not + need to be prime. + */ + for (ix = 0; ix < t; ix++) { + /* mp_rand() guarantees the first digit to be non-zero */ + if ((err = mp_rand(&b, 1)) != MP_OKAY) { + goto LBL_B; + } + /* + * Reduce digit before casting because mp_digit might be bigger than + * an unsigned int and "mask" on the other side is most probably not. + */ + fips_rand = (unsigned int)(b.dp[0] & (mp_digit) mask); +#ifdef MP_8BIT + /* + * One 8-bit digit is too small, so concatenate two if the size of + * unsigned int allows for it. + */ + if (((sizeof(unsigned int) * CHAR_BIT)/2) >= (sizeof(mp_digit) * CHAR_BIT)) { + if ((err = mp_rand(&b, 1)) != MP_OKAY) { + goto LBL_B; + } + fips_rand <<= sizeof(mp_digit) * CHAR_BIT; + fips_rand |= (unsigned int) b.dp[0]; + fips_rand &= mask; + } +#endif + if (fips_rand > (unsigned int)(INT_MAX - DIGIT_BIT)) { + len = INT_MAX / DIGIT_BIT; + } else { + len = (((int)fips_rand + DIGIT_BIT) / DIGIT_BIT); + } + /* Unlikely. */ + if (len < 0) { + ix--; + continue; + } + /* + * As mentioned above, one 8-bit digit is too small and + * although it can only happen in the unlikely case that + * an "unsigned int" is smaller than 16 bit a simple test + * is cheap and the correction even cheaper. + */ +#ifdef MP_8BIT + /* All "a" < 2^8 have been caught before */ + if (len == 1) { + len++; + } +#endif + if ((err = mp_rand(&b, len)) != MP_OKAY) { + goto LBL_B; + } + /* + * That number might got too big and the witness has to be + * smaller than or equal to "a" + */ + len = mp_count_bits(&b); + if (len > size_a) { + len = len - size_a; + if ((err = mp_div_2d(&b, len, &b, NULL)) != MP_OKAY) { + goto LBL_B; + } + } + + /* Although the chance for b <= 3 is miniscule, try again. */ + if (mp_cmp_d(&b, 3uL) != MP_GT) { + ix--; + continue; + } + if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { + goto LBL_B; + } + if (res == MP_NO) { + goto LBL_B; + } + } } /* passed the test */ @@ -77,6 +362,7 @@ LBL_B: mp_clear(&b); return err; } + #endif /* ref: $Format:%D$ */ diff --git a/bn_mp_prime_miller_rabin.c b/bn_mp_prime_miller_rabin.c index 95a46a7..a12e533 100644 --- a/bn_mp_prime_miller_rabin.c +++ b/bn_mp_prime_miller_rabin.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_MILLER_RABIN_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_MILLER_RABIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -31,7 +28,7 @@ int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) *result = MP_NO; /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { + if (mp_cmp_d(b, 1uL) != MP_GT) { return MP_VAL; } @@ -39,7 +36,7 @@ int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) if ((err = mp_init_copy(&n1, a)) != MP_OKAY) { return err; } - if ((err = mp_sub_d(&n1, 1, &n1)) != MP_OKAY) { + if ((err = mp_sub_d(&n1, 1uL, &n1)) != MP_OKAY) { goto LBL_N1; } @@ -67,7 +64,7 @@ int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) } /* if y != 1 and y != n1 do */ - if ((mp_cmp_d(&y, 1) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) { + if ((mp_cmp_d(&y, 1uL) != MP_EQ) && (mp_cmp(&y, &n1) != MP_EQ)) { j = 1; /* while j <= s-1 and y != n1 */ while ((j <= (s - 1)) && (mp_cmp(&y, &n1) != MP_EQ)) { @@ -76,7 +73,7 @@ int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result) } /* if y == 1 then composite */ - if (mp_cmp_d(&y, 1) == MP_EQ) { + if (mp_cmp_d(&y, 1uL) == MP_EQ) { goto LBL_Y; } diff --git a/bn_mp_prime_next_prime.c b/bn_mp_prime_next_prime.c index 94cbab9..28256ca 100644 --- a/bn_mp_prime_next_prime.c +++ b/bn_mp_prime_next_prime.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_NEXT_PRIME_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_NEXT_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* finds the next prime after the number "a" using "t" trials @@ -26,11 +23,6 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) mp_digit res_tab[PRIME_SIZE], step, kstep; mp_int b; - /* ensure t is valid */ - if ((t <= 0) || (t > PRIME_SIZE)) { - return MP_VAL; - } - /* force positive */ a->sign = MP_ZPOS; @@ -46,10 +38,10 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) * however, the prime must be * congruent to 3 mod 4 */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { + if ((ltm_prime_tab[x + 1] & 3u) != 3u) { /* scan upwards for a prime congruent to 3 mod 4 */ for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { + if ((ltm_prime_tab[y] & 3u) == 3u) { mp_set(a, ltm_prime_tab[y]); return MP_OKAY; } @@ -62,8 +54,8 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) } } /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); + if (mp_cmp_d(a, 1uL) == MP_EQ) { + mp_set(a, 2uL); return MP_OKAY; } /* fall through to the sieve */ @@ -80,15 +72,15 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) if (bbs_style == 1) { /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { + if ((a->dp[0] & 3u) != 3u) { + if ((err = mp_sub_d(a, (a->dp[0] & 3u) + 1u, a)) != MP_OKAY) { return err; }; } } else { if (mp_iseven(a) == MP_YES) { /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { + if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { return err; } } @@ -127,11 +119,11 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) } /* set flag if zero */ - if (res_tab[x] == 0) { + if (res_tab[x] == 0u) { y = 1; } } - } while ((y == 1) && (step < ((((mp_digit)1) << DIGIT_BIT) - kstep))); + } while ((y == 1) && (step < (((mp_digit)1 << DIGIT_BIT) - kstep))); /* add the step */ if ((err = mp_add_d(a, step, a)) != MP_OKAY) { @@ -139,21 +131,13 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) } /* if didn't pass sieve and step == MAX then skip test */ - if ((y == 1) && (step >= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { + if ((y == 1) && (step >= (((mp_digit)1 << DIGIT_BIT) - kstep))) { continue; } - /* is this prime? */ - for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[x]); - if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { - goto LBL_ERR; - } - if (res == MP_NO) { - break; - } + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { + goto LBL_ERR; } - if (res == MP_YES) { break; } diff --git a/bn_mp_prime_rabin_miller_trials.c b/bn_mp_prime_rabin_miller_trials.c index 161ac3b..1c0a748 100644 --- a/bn_mp_prime_rabin_miller_trials.c +++ b/bn_mp_prime_rabin_miller_trials.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_RABIN_MILLER_TRIALS_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,27 +9,31 @@ * 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 + * SPDX-License-Identifier: Unlicense */ static const struct { int k, t; } sizes[] = { - { 128, 28 }, + { 80, -1 }, /* Use deterministic algorithm for size <= 80 bits */ + { 81, 39 }, + { 96, 37 }, + { 128, 32 }, + { 160, 27 }, + { 192, 21 }, { 256, 16 }, { 384, 10 }, { 512, 7 }, { 640, 6 }, { 768, 5 }, { 896, 4 }, - { 1024, 4 } + { 1024, 4 }, + { 2048, 2 }, + { 4096, 1 }, }; -/* returns # of RM trials required for a given bit size */ +/* returns # of RM trials required for a given bit size and max. error of 2^(-96)*/ int mp_prime_rabin_miller_trials(int size) { int x; diff --git a/bn_mp_prime_random_ex.c b/bn_mp_prime_random_ex.c index 0560a83..b0b4632 100644 --- a/bn_mp_prime_random_ex.c +++ b/bn_mp_prime_random_ex.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_PRIME_RANDOM_EX_C) +#include "tommath_private.h" +#ifdef BN_MP_PRIME_RANDOM_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* makes a truly random prime of a given size (bits), @@ -49,7 +46,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback bsize = (size>>3) + ((size&7)?1:0); /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); + tmp = OPT_CAST(unsigned char) XMALLOC((size_t)bsize); if (tmp == NULL) { return MP_MEM; } @@ -86,12 +83,12 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback tmp[bsize-1] |= maskOR_lsb; /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { + if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } if (res == MP_NO) { @@ -100,15 +97,15 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback if ((flags & LTM_PRIME_SAFE) != 0) { /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { + if ((err = mp_sub_d(a, 1uL, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { + if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { + if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } } @@ -116,10 +113,10 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback if ((flags & LTM_PRIME_SAFE) != 0) { /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { + if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { + if ((err = mp_add_d(a, 1uL, a)) != MP_OKAY) { goto error; } } diff --git a/bn_mp_radix_size.c b/bn_mp_radix_size.c index 7b64c79..8583faa 100644 --- a/bn_mp_radix_size.c +++ b/bn_mp_radix_size.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined( BN_MP_RADIX_SIZE_C) +#include "tommath_private.h" +#ifdef BN_MP_RADIX_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* returns size of ASCII reprensentation */ diff --git a/bn_mp_radix_smap.c b/bn_mp_radix_smap.c index 5838e29..15730fe 100644 --- a/bn_mp_radix_smap.c +++ b/bn_mp_radix_smap.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_RADIX_SMAP_C) +#include "tommath_private.h" +#ifdef BN_MP_RADIX_SMAP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,14 +9,25 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; +const char *const mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; +const uint8_t mp_s_rmap_reverse[] = { + 0xff, 0xff, 0xff, 0x3e, 0xff, 0xff, 0xff, 0x3f, /* ()*+,-./ */ + 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, /* 01234567 */ + 0x08, 0x09, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* 89:;<=>? */ + 0xff, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, /* @ABCDEFG */ + 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, /* HIJKLMNO */ + 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, /* PQRSTUVW */ + 0x21, 0x22, 0x23, 0xff, 0xff, 0xff, 0xff, 0xff, /* XYZ[\]^_ */ + 0xff, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, /* `abcdefg */ + 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, /* hijklmno */ + 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, /* pqrstuvw */ + 0x3b, 0x3c, 0x3d, 0xff, 0xff, 0xff, 0xff, 0xff, /* xyz{|}~. */ +}; +const size_t mp_s_rmap_reverse_sz = sizeof(mp_s_rmap_reverse); #endif /* ref: $Format:%D$ */ diff --git a/bn_mp_rand.c b/bn_mp_rand.c index e0ed058..17aa5a2 100644 --- a/bn_mp_rand.c +++ b/bn_mp_rand.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_RAND_C) +#include "tommath_private.h" +#ifdef BN_MP_RAND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,36 +9,174 @@ * 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 + * SPDX-License-Identifier: Unlicense */ -#if MP_GEN_RANDOM_MAX == 0xffffffff -#define MP_GEN_RANDOM_SHIFT 32 -#elif MP_GEN_RANDOM_MAX == 32767 -/* SHRT_MAX */ -#define MP_GEN_RANDOM_SHIFT 15 -#elif MP_GEN_RANDOM_MAX == 2147483647 -/* INT_MAX */ -#define MP_GEN_RANDOM_SHIFT 31 -#elif !defined(MP_GEN_RANDOM_SHIFT) -#error Thou shalt define their own valid MP_GEN_RANDOM_SHIFT -#endif +/* First the OS-specific special cases + * - *BSD + * - Windows + */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) +#define MP_ARC4RANDOM +#define MP_GEN_RANDOM_MAX 0xffffffffu +#define MP_GEN_RANDOM_SHIFT 32 -/* makes a pseudo-random int of a given size */ -static mp_digit s_gen_random(void) +static int s_read_arc4random(mp_digit *p) { mp_digit d = 0, msk = 0; do { d <<= MP_GEN_RANDOM_SHIFT; - d |= ((mp_digit) MP_GEN_RANDOM()); + d |= ((mp_digit) arc4random()); msk <<= MP_GEN_RANDOM_SHIFT; msk |= (MP_MASK & MP_GEN_RANDOM_MAX); } while ((MP_MASK & msk) != MP_MASK); - d &= MP_MASK; - return d; + *p = d; + return MP_OKAY; +} +#endif + +#if defined(_WIN32) || defined(_WIN32_WCE) +#define MP_WIN_CSP + +#ifndef _WIN32_WINNT +#define _WIN32_WINNT 0x0400 +#endif +#ifdef _WIN32_WCE +#define UNDER_CE +#define ARM +#endif + +#define WIN32_LEAN_AND_MEAN +#include +#include + +static HCRYPTPROV hProv = 0; + +static void s_cleanup_win_csp(void) +{ + CryptReleaseContext(hProv, 0); + hProv = 0; +} + +static int s_read_win_csp(mp_digit *p) +{ + int ret = -1; + if (hProv == 0) { + if (!CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL, + (CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET)) && + !CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL, + CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET | CRYPT_NEWKEYSET)) { + hProv = 0; + return ret; + } + atexit(s_cleanup_win_csp); + } + if (CryptGenRandom(hProv, sizeof(*p), (void *)p) == TRUE) { + ret = MP_OKAY; + } + return ret; +} +#endif /* WIN32 */ + +#if !defined(MP_WIN_CSP) && defined(__linux__) && defined(__GLIBC_PREREQ) +#if __GLIBC_PREREQ(2, 25) +#define MP_GETRANDOM +#include +#include + +static int s_read_getrandom(mp_digit *p) +{ + int ret; + do { + ret = getrandom(p, sizeof(*p), 0); + } while ((ret == -1) && (errno == EINTR)); + if (ret == sizeof(*p)) return MP_OKAY; + return -1; +} +#endif +#endif + +/* We assume all platforms besides windows provide "/dev/urandom". + * In case yours doesn't, define MP_NO_DEV_URANDOM at compile-time. + */ +#if !defined(MP_WIN_CSP) && !defined(MP_NO_DEV_URANDOM) +#ifndef MP_DEV_URANDOM +#define MP_DEV_URANDOM "/dev/urandom" +#endif +#include +#include +#include + +static int s_read_dev_urandom(mp_digit *p) +{ + ssize_t r; + int fd; + do { + fd = open(MP_DEV_URANDOM, O_RDONLY); + } while ((fd == -1) && (errno == EINTR)); + if (fd == -1) return -1; + do { + r = read(fd, p, sizeof(*p)); + } while ((r == -1) && (errno == EINTR)); + close(fd); + if (r != sizeof(*p)) return -1; + return MP_OKAY; +} +#endif + +#if defined(MP_PRNG_ENABLE_LTM_RNG) +unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); +void (*ltm_rng_callback)(void); + +static int s_read_ltm_rng(mp_digit *p) +{ + unsigned long ret; + if (ltm_rng == NULL) return -1; + ret = ltm_rng((void *)p, sizeof(*p), ltm_rng_callback); + if (ret != sizeof(*p)) return -1; + return MP_OKAY; +} +#endif + +static int s_rand_digit(mp_digit *p) +{ + int ret = -1; + +#if defined(MP_ARC4RANDOM) + ret = s_read_arc4random(p); + if (ret == MP_OKAY) return ret; +#endif + +#if defined(MP_WIN_CSP) + ret = s_read_win_csp(p); + if (ret == MP_OKAY) return ret; +#else + +#if defined(MP_GETRANDOM) + ret = s_read_getrandom(p); + if (ret == MP_OKAY) return ret; +#endif +#if defined(MP_DEV_URANDOM) + ret = s_read_dev_urandom(p); + if (ret == MP_OKAY) return ret; +#endif + +#endif /* MP_WIN_CSP */ + +#if defined(MP_PRNG_ENABLE_LTM_RNG) + ret = s_read_ltm_rng(p); + if (ret == MP_OKAY) return ret; +#endif + + return ret; +} + +/* makes a pseudo-random int of a given size */ +int mp_rand_digit(mp_digit *r) +{ + int ret = s_rand_digit(r); + *r &= MP_MASK; + return ret; } int mp_rand(mp_int *a, int digits) @@ -53,8 +191,10 @@ int mp_rand(mp_int *a, int digits) /* first place a random non-zero digit */ do { - d = s_gen_random(); - } while (d == 0); + if (mp_rand_digit(&d) != MP_OKAY) { + return MP_VAL; + } + } while (d == 0u); if ((res = mp_add_d(a, d, a)) != MP_OKAY) { return res; @@ -65,7 +205,10 @@ int mp_rand(mp_int *a, int digits) return res; } - if ((res = mp_add_d(a, s_gen_random(), a)) != MP_OKAY) { + if (mp_rand_digit(&d) != MP_OKAY) { + return MP_VAL; + } + if ((res = mp_add_d(a, d, a)) != MP_OKAY) { return res; } } diff --git a/bn_mp_read_radix.c b/bn_mp_read_radix.c index 53ce963..200601e 100644 --- a/bn_mp_read_radix.c +++ b/bn_mp_read_radix.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_READ_RADIX_C) +#include "tommath_private.h" +#ifdef BN_MP_READ_RADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,16 +9,14 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* read a string [ASCII] in a given radix */ int mp_read_radix(mp_int *a, const char *str, int radix) { int y, res, neg; + unsigned pos; char ch; /* zero the digit bignum */ @@ -49,31 +47,30 @@ int mp_read_radix(mp_int *a, const char *str, int radix) * [e.g. in hex] */ ch = (radix <= 36) ? (char)toupper((int)*str) : *str; - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } + pos = (unsigned)(ch - '('); + if (mp_s_rmap_reverse_sz < pos) { + break; } + y = (int)mp_s_rmap_reverse[pos]; /* if the char was found in the map * and is less than the given radix add it * to the number, otherwise exit the loop. */ - if (y < radix) { - if ((res = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { - return res; - } - } else { + if ((y == 0xff) || (y >= radix)) { break; } + if ((res = mp_mul_d(a, (mp_digit)radix, a)) != MP_OKAY) { + return res; + } + if ((res = mp_add_d(a, (mp_digit)y, a)) != MP_OKAY) { + return res; + } ++str; } /* if an illegal character was found, fail. */ - if (!(*str == '\0' || *str == '\r' || *str == '\n')) { + if (!((*str == '\0') || (*str == '\r') || (*str == '\n'))) { mp_zero(a); return MP_VAL; } diff --git a/bn_mp_read_signed_bin.c b/bn_mp_read_signed_bin.c index a728872..e97a1d0 100644 --- a/bn_mp_read_signed_bin.c +++ b/bn_mp_read_signed_bin.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_READ_SIGNED_BIN_C) +#include "tommath_private.h" +#ifdef BN_MP_READ_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -26,7 +23,7 @@ int mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) } /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { + if (b[0] == (unsigned char)0) { a->sign = MP_ZPOS; } else { a->sign = MP_NEG; diff --git a/bn_mp_read_unsigned_bin.c b/bn_mp_read_unsigned_bin.c index b3fcfbd..648762a 100644 --- a/bn_mp_read_unsigned_bin.c +++ b/bn_mp_read_unsigned_bin.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_READ_UNSIGNED_BIN_C) +#include "tommath_private.h" +#ifdef BN_MP_READ_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -41,7 +38,7 @@ int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) a->used += 1; #else a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); + a->dp[1] |= ((*b++ >> 7) & 1u); a->used += 2; #endif } diff --git a/bn_mp_reduce.c b/bn_mp_reduce.c index 0b2bc11..cbf8641 100644 --- a/bn_mp_reduce.c +++ b/bn_mp_reduce.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reduces x mod m, assumes 0 < x < m**2, mu is @@ -33,7 +30,7 @@ int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) mp_rshd(&q, um - 1); /* according to HAC this optimization is ok */ - if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if ((mp_digit)um > ((mp_digit)1 << (DIGIT_BIT - 1))) { if ((res = mp_mul(&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } @@ -73,8 +70,8 @@ int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) } /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d(x, 0) == MP_LT) { - mp_set(&q, 1); + if (mp_cmp_d(x, 0uL) == MP_LT) { + mp_set(&q, 1uL); if ((res = mp_lshd(&q, um + 1)) != MP_OKAY) goto CLEANUP; if ((res = mp_add(x, &q, x)) != MP_OKAY) diff --git a/bn_mp_reduce_2k.c b/bn_mp_reduce_2k.c index 94e2dcd..af673e6 100644 --- a/bn_mp_reduce_2k.c +++ b/bn_mp_reduce_2k.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_2K_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -29,29 +26,29 @@ int mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } - if (d != 1) { + if (d != 1u) { /* q = q * d */ if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } } /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if (mp_cmp_mag(a, n) != MP_LT) { if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } goto top; } -ERR: +LBL_ERR: mp_clear(&q); return res; } diff --git a/bn_mp_reduce_2k_l.c b/bn_mp_reduce_2k_l.c index 047eb01..afdc321 100644 --- a/bn_mp_reduce_2k_l.c +++ b/bn_mp_reduce_2k_l.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_2K_L_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reduces a modulo n where n is of the form 2**p - d @@ -32,27 +29,27 @@ int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* q = q * d */ if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if (mp_cmp_mag(a, n) != MP_LT) { if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } goto top; } -ERR: +LBL_ERR: mp_clear(&q); return res; } diff --git a/bn_mp_reduce_2k_setup.c b/bn_mp_reduce_2k_setup.c index be2cee1..166a965 100644 --- a/bn_mp_reduce_2k_setup.c +++ b/bn_mp_reduce_2k_setup.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_2K_SETUP_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_2K_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines the setup value */ diff --git a/bn_mp_reduce_2k_setup_l.c b/bn_mp_reduce_2k_setup_l.c index b762718..5584b48 100644 --- a/bn_mp_reduce_2k_setup_l.c +++ b/bn_mp_reduce_2k_setup_l.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_2K_SETUP_L_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_2K_SETUP_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines the setup value */ @@ -26,14 +23,14 @@ int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) } if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } -ERR: +LBL_ERR: mp_clear(&tmp); return res; } diff --git a/bn_mp_reduce_is_2k.c b/bn_mp_reduce_is_2k.c index 81cdaca..8be985e 100644 --- a/bn_mp_reduce_is_2k.c +++ b/bn_mp_reduce_is_2k.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_IS_2K_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_IS_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines if mp_reduce_2k can be used */ @@ -32,7 +29,7 @@ int mp_reduce_is_2k(const mp_int *a) /* Test every bit from the second digit up, must be 1 */ for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { + if ((a->dp[iw] & iz) == 0u) { return MP_NO; } iz <<= 1; diff --git a/bn_mp_reduce_is_2k_l.c b/bn_mp_reduce_is_2k_l.c index aedb8c1..da4aeda 100644 --- a/bn_mp_reduce_is_2k_l.c +++ b/bn_mp_reduce_is_2k_l.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_IS_2K_L_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_IS_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* determines if reduce_2k_l can be used */ diff --git a/bn_mp_reduce_setup.c b/bn_mp_reduce_setup.c index f388b5c..134d8a3 100644 --- a/bn_mp_reduce_setup.c +++ b/bn_mp_reduce_setup.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_REDUCE_SETUP_C) +#include "tommath_private.h" +#ifdef BN_MP_REDUCE_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* pre-calculate the value required for Barrett reduction diff --git a/bn_mp_rshd.c b/bn_mp_rshd.c index 7ea24c2..61ab8c0 100644 --- a/bn_mp_rshd.c +++ b/bn_mp_rshd.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_RSHD_C) +#include "tommath_private.h" +#ifdef BN_MP_RSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* shift right a certain amount of digits */ diff --git a/bn_mp_set.c b/bn_mp_set.c index fe8c49f..590a100 100644 --- a/bn_mp_set.c +++ b/bn_mp_set.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SET_C) +#include "tommath_private.h" +#ifdef BN_MP_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* set to a digit */ @@ -20,7 +17,7 @@ void mp_set(mp_int *a, mp_digit b) { mp_zero(a); a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; + a->used = (a->dp[0] != 0u) ? 1 : 0; } #endif diff --git a/bn_mp_set_int.c b/bn_mp_set_int.c index e1c3e7f..4f01e25 100644 --- a/bn_mp_set_int.c +++ b/bn_mp_set_int.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SET_INT_C) +#include "tommath_private.h" +#ifdef BN_MP_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* set a 32-bit const */ @@ -30,7 +27,7 @@ int mp_set_int(mp_int *a, unsigned long b) } /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; + a->dp[0] |= (mp_digit)(b >> 28) & 15uL; /* shift the source up to the next four bits */ b <<= 4; diff --git a/bn_mp_set_long.c b/bn_mp_set_long.c index 2f23550..35be8e7 100644 --- a/bn_mp_set_long.c +++ b/bn_mp_set_long.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SET_LONG_C) +#include "tommath_private.h" +#ifdef BN_MP_SET_LONG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* set a platform dependent unsigned long int */ diff --git a/bn_mp_set_long_long.c b/bn_mp_set_long_long.c index b3b4363..850f33c 100644 --- a/bn_mp_set_long_long.c +++ b/bn_mp_set_long_long.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SET_LONG_LONG_C) +#include "tommath_private.h" +#ifdef BN_MP_SET_LONG_LONG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* set a platform dependent unsigned long long int */ diff --git a/bn_mp_shrink.c b/bn_mp_shrink.c index 4e1859a..ff7905f 100644 --- a/bn_mp_shrink.c +++ b/bn_mp_shrink.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SHRINK_C) +#include "tommath_private.h" +#ifdef BN_MP_SHRINK_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* shrink a bignum */ @@ -26,7 +23,7 @@ int mp_shrink(mp_int *a) } if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * used)) == NULL) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC(a->dp, sizeof(mp_digit) * (size_t)used)) == NULL) { return MP_MEM; } a->dp = tmp; diff --git a/bn_mp_signed_bin_size.c b/bn_mp_signed_bin_size.c index af4e90c..89cd43e 100644 --- a/bn_mp_signed_bin_size.c +++ b/bn_mp_signed_bin_size.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SIGNED_BIN_SIZE_C) +#include "tommath_private.h" +#ifdef BN_MP_SIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* get the size for an signed equivalent */ diff --git a/bn_mp_sqr.c b/bn_mp_sqr.c index 2d87913..63bb2e2 100644 --- a/bn_mp_sqr.c +++ b/bn_mp_sqr.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SQR_C) +#include "tommath_private.h" +#ifdef BN_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,18 +9,10 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* computes b = a*a */ - -#define BN_MP_TOOM_SQR_C -#define BN_MP_KARATSUBA_SQR_C -#define BN_FAST_S_MP_SQR_C -#define BN_S_MP_SQR_C int mp_sqr(const mp_int *a, mp_int *b) { int res; @@ -40,9 +32,9 @@ int mp_sqr(const mp_int *a, mp_int *b) { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((((a->used * 2) + 1) < MP_WARRAY) && + if ((((a->used * 2) + 1) < (int)MP_WARRAY) && (a->used < - (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { + (int)(1u << (((sizeof(mp_word) * (size_t)CHAR_BIT) - (2u * (size_t)DIGIT_BIT)) - 1u)))) { res = fast_s_mp_sqr(a, b); } else #endif diff --git a/bn_mp_sqrmod.c b/bn_mp_sqrmod.c index 3288f62..953829e 100644 --- a/bn_mp_sqrmod.c +++ b/bn_mp_sqrmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SQRMOD_C) +#include "tommath_private.h" +#ifdef BN_MP_SQRMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* c = a * a (mod b) */ diff --git a/bn_mp_sqrt.c b/bn_mp_sqrt.c index a8433aa..55b5c79 100644 --- a/bn_mp_sqrt.c +++ b/bn_mp_sqrt.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SQRT_C) +#include "tommath_private.h" +#ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* this function is less generic than mp_n_root, simpler and faster */ diff --git a/bn_mp_sqrtmod_prime.c b/bn_mp_sqrtmod_prime.c index bd6324c..cc4da3b 100644 --- a/bn_mp_sqrtmod_prime.c +++ b/bn_mp_sqrtmod_prime.c @@ -1,12 +1,15 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SQRTMOD_PRIME_C) +#include "tommath_private.h" +#ifdef BN_MP_SQRTMOD_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision * integer arithmetic as well as number theoretic functionality. * - * The library is free for all purposes without any express - * guarantee it works. + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * SPDX-License-Identifier: Unlicense */ /* Tonelli-Shanks algorithm @@ -22,11 +25,11 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) mp_digit i; /* first handle the simple cases */ - if (mp_cmp_d(n, 0) == MP_EQ) { + if (mp_cmp_d(n, 0uL) == MP_EQ) { mp_zero(ret); return MP_OKAY; } - if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ + if (mp_cmp_d(prime, 2uL) == MP_EQ) return MP_VAL; /* prime must be odd */ if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ @@ -38,9 +41,9 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) * compute directly: res = n^(prime+1)/4 mod prime * Handbook of Applied Cryptography algorithm 3.36 */ - if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; - if (i == 3) { - if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_mod_d(prime, 4uL, &i)) != MP_OKAY) goto cleanup; + if (i == 3u) { + if ((res = mp_add_d(prime, 1uL, &t1)) != MP_OKAY) goto cleanup; if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; @@ -52,30 +55,30 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&Q, 1uL, &Q)) != MP_OKAY) goto cleanup; /* Q = prime - 1 */ mp_zero(&S); /* S = 0 */ while (mp_iseven(&Q) != MP_NO) { if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; /* Q = Q / 2 */ - if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; + if ((res = mp_add_d(&S, 1uL, &S)) != MP_OKAY) goto cleanup; /* S = S + 1 */ } /* find a Z such that the Legendre symbol (Z|prime) == -1 */ - if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; + if ((res = mp_set_int(&Z, 2uL)) != MP_OKAY) goto cleanup; /* Z = 2 */ while (1) { if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; if (legendre == -1) break; - if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; + if ((res = mp_add_d(&Z, 1uL, &Z)) != MP_OKAY) goto cleanup; /* Z = Z + 1 */ } if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; /* C = Z ^ Q mod prime */ - if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_add_d(&Q, 1uL, &t1)) != MP_OKAY) goto cleanup; if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; /* t1 = (Q + 1) / 2 */ if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; @@ -84,24 +87,24 @@ int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) /* T = n ^ Q mod prime */ if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; /* M = S */ - if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; + if ((res = mp_set_int(&two, 2uL)) != MP_OKAY) goto cleanup; res = MP_VAL; while (1) { if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; i = 0; while (1) { - if (mp_cmp_d(&t1, 1) == MP_EQ) break; + if (mp_cmp_d(&t1, 1uL) == MP_EQ) break; if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; i++; } - if (i == 0) { + if (i == 0u) { if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; res = MP_OKAY; goto cleanup; } if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&t1, 1uL, &t1)) != MP_OKAY) goto cleanup; if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; /* t1 = 2 ^ (M - i - 1) */ if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; @@ -122,3 +125,7 @@ cleanup: } #endif + +/* ref: $Format:%D$ */ +/* git commit: $Format:%H$ */ +/* commit time: $Format:%ai$ */ diff --git a/bn_mp_sub.c b/bn_mp_sub.c index cff937a..df31951 100644 --- a/bn_mp_sub.c +++ b/bn_mp_sub.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SUB_C) +#include "tommath_private.h" +#ifdef BN_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* high level subtraction (handles signs) */ diff --git a/bn_mp_sub_d.c b/bn_mp_sub_d.c index 63da85b..d8ac250 100644 --- a/bn_mp_sub_d.c +++ b/bn_mp_sub_d.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SUB_D_C) +#include "tommath_private.h" +#ifdef BN_MP_SUB_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* single digit subtraction */ @@ -67,13 +64,13 @@ int mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) /* subtract first digit */ *tmpc = *tmpa++ - b; - mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); + mu = *tmpc >> ((sizeof(mp_digit) * (size_t)CHAR_BIT) - 1u); *tmpc++ &= MP_MASK; /* handle rest of the digits */ for (ix = 1; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); + mu = *tmpc >> ((sizeof(mp_digit) * (size_t)CHAR_BIT) - 1u); *tmpc++ &= MP_MASK; } } diff --git a/bn_mp_submod.c b/bn_mp_submod.c index 62c094f..ba9ee6f 100644 --- a/bn_mp_submod.c +++ b/bn_mp_submod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_SUBMOD_C) +#include "tommath_private.h" +#ifdef BN_MP_SUBMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* d = a - b (mod c) */ diff --git a/bn_mp_to_signed_bin.c b/bn_mp_to_signed_bin.c index ccf6f1b..04e3b84 100644 --- a/bn_mp_to_signed_bin.c +++ b/bn_mp_to_signed_bin.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TO_SIGNED_BIN_C) +#include "tommath_private.h" +#ifdef BN_MP_TO_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* store in signed [big endian] format */ diff --git a/bn_mp_to_signed_bin_n.c b/bn_mp_to_signed_bin_n.c index 1ef345f..d13fede 100644 --- a/bn_mp_to_signed_bin_n.c +++ b/bn_mp_to_signed_bin_n.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TO_SIGNED_BIN_N_C) +#include "tommath_private.h" +#ifdef BN_MP_TO_SIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* store in signed [big endian] format */ @@ -21,7 +18,7 @@ int mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) if (*outlen < (unsigned long)mp_signed_bin_size(a)) { return MP_VAL; } - *outlen = mp_signed_bin_size(a); + *outlen = (unsigned long)mp_signed_bin_size(a); return mp_to_signed_bin(a, b); } #endif diff --git a/bn_mp_to_unsigned_bin.c b/bn_mp_to_unsigned_bin.c index c1c2490..ab57514 100644 --- a/bn_mp_to_unsigned_bin.c +++ b/bn_mp_to_unsigned_bin.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TO_UNSIGNED_BIN_C) +#include "tommath_private.h" +#ifdef BN_MP_TO_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* store in unsigned [big endian] format */ @@ -28,9 +25,9 @@ int mp_to_unsigned_bin(const mp_int *a, unsigned char *b) x = 0; while (mp_iszero(&t) == MP_NO) { #ifndef MP_8BIT - b[x++] = (unsigned char)(t.dp[0] & 255); + b[x++] = (unsigned char)(t.dp[0] & 255u); #else - b[x++] = (unsigned char)(t.dp[0] | ((t.dp[1] & 0x01) << 7)); + b[x++] = (unsigned char)(t.dp[0] | ((t.dp[1] & 1u) << 7)); #endif if ((res = mp_div_2d(&t, 8, &t, NULL)) != MP_OKAY) { mp_clear(&t); diff --git a/bn_mp_to_unsigned_bin_n.c b/bn_mp_to_unsigned_bin_n.c index d146802..c53e7fb 100644 --- a/bn_mp_to_unsigned_bin_n.c +++ b/bn_mp_to_unsigned_bin_n.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TO_UNSIGNED_BIN_N_C) +#include "tommath_private.h" +#ifdef BN_MP_TO_UNSIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* store in unsigned [big endian] format */ @@ -21,7 +18,7 @@ int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outle if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { return MP_VAL; } - *outlen = mp_unsigned_bin_size(a); + *outlen = (unsigned long)mp_unsigned_bin_size(a); return mp_to_unsigned_bin(a, b); } #endif diff --git a/bn_mp_toom_mul.c b/bn_mp_toom_mul.c index d267ac9..32b5e43 100644 --- a/bn_mp_toom_mul.c +++ b/bn_mp_toom_mul.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TOOM_MUL_C) +#include "tommath_private.h" +#ifdef BN_MP_TOOM_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* multiplication using the Toom-Cook 3-way algorithm @@ -39,126 +36,126 @@ int mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&a1, B); if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&a2, B*2); /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&b1, B); (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&b2, B*2); /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* now solve the matrix @@ -175,104 +172,104 @@ int mp_toom_mul(const mp_int *a, const mp_int *b, mp_int *c) /* r1 - r4 */ if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r0 */ if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1/2 */ if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3/2 */ if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r2 - r0 - r4 */ if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - r2 */ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r2 */ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - 8r0 */ if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - 8r4 */ if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; + if ((res = mp_mul_d(&w2, 3uL, &w2)) != MP_OKAY) { + goto LBL_ERR; } if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - r2 */ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r2 */ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1/3 */ if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3/3 */ if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* at this point shift W[n] by B*n */ if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } -ERR: +LBL_ERR: mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL); diff --git a/bn_mp_toom_sqr.c b/bn_mp_toom_sqr.c index 5ef7677..8595db5 100644 --- a/bn_mp_toom_sqr.c +++ b/bn_mp_toom_sqr.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TOOM_SQR_C) +#include "tommath_private.h" +#ifdef BN_MP_TOOM_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* squaring using Toom-Cook 3-way algorithm */ @@ -31,78 +28,78 @@ int mp_toom_sqr(const mp_int *a, mp_int *b) /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&a1, B); if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } mp_rshd(&a2, B*2); /* w0 = a0*a0 */ if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w4 = a2 * a2 */ if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w1 = (a2 + 2(a1 + 2a0))**2 */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w3 = (a0 + 2(a1 + 2a2))**2 */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* w2 = (a2 + a1 + a0)**2 */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* now solve the matrix @@ -118,104 +115,104 @@ int mp_toom_sqr(const mp_int *a, mp_int *b) /* r1 - r4 */ if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r0 */ if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1/2 */ if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3/2 */ if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r2 - r0 - r4 */ if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - r2 */ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r2 */ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - 8r0 */ if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - 8r4 */ if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; + if ((res = mp_mul_d(&w2, 3uL, &w2)) != MP_OKAY) { + goto LBL_ERR; } if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1 - r2 */ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3 - r2 */ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r1/3 */ if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* r3/3 */ if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } /* at this point shift W[n] by B*n */ if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; + goto LBL_ERR; } -ERR: +LBL_ERR: mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); return res; } diff --git a/bn_mp_toradix.c b/bn_mp_toradix.c index 8892b2c..c6e1c65 100644 --- a/bn_mp_toradix.c +++ b/bn_mp_toradix.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TORADIX_C) +#include "tommath_private.h" +#ifdef BN_MP_TORADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* stores a bignum as a ASCII string in a given radix (2..64) */ diff --git a/bn_mp_toradix_n.c b/bn_mp_toradix_n.c index fee8fbe..84431f2 100644 --- a/bn_mp_toradix_n.c +++ b/bn_mp_toradix_n.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_TORADIX_N_C) +#include "tommath_private.h" +#ifdef BN_MP_TORADIX_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* stores a bignum as a ASCII string in a given radix (2..64) diff --git a/bn_mp_unsigned_bin_size.c b/bn_mp_unsigned_bin_size.c index d8450a6..d716c8f 100644 --- a/bn_mp_unsigned_bin_size.c +++ b/bn_mp_unsigned_bin_size.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_UNSIGNED_BIN_SIZE_C) +#include "tommath_private.h" +#ifdef BN_MP_UNSIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,17 +9,14 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* get the size for an unsigned equivalent */ int mp_unsigned_bin_size(const mp_int *a) { int size = mp_count_bits(a); - return (size / 8) + (((size & 7) != 0) ? 1 : 0); + return (size / 8) + ((((unsigned)size & 7u) != 0u) ? 1 : 0); } #endif diff --git a/bn_mp_xor.c b/bn_mp_xor.c index 296c0c0..bfcdbb9 100644 --- a/bn_mp_xor.c +++ b/bn_mp_xor.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_XOR_C) +#include "tommath_private.h" +#ifdef BN_MP_XOR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* XOR two ints together */ diff --git a/bn_mp_zero.c b/bn_mp_zero.c index 0c8a03b..89f7c29 100644 --- a/bn_mp_zero.c +++ b/bn_mp_zero.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_MP_ZERO_C) +#include "tommath_private.h" +#ifdef BN_MP_ZERO_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* set to zero */ diff --git a/bn_prime_tab.c b/bn_prime_tab.c index 01225e8..5c0e192 100644 --- a/bn_prime_tab.c +++ b/bn_prime_tab.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_PRIME_TAB_C) +#include "tommath_private.h" +#ifdef BN_PRIME_TAB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,11 +9,9 @@ * 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 + * SPDX-License-Identifier: Unlicense */ + const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, diff --git a/bn_reverse.c b/bn_reverse.c index 120c69d..2990528 100644 --- a/bn_reverse.c +++ b/bn_reverse.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_REVERSE_C) +#include "tommath_private.h" +#ifdef BN_REVERSE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* reverse an array, used for radix code */ diff --git a/bn_s_mp_add.c b/bn_s_mp_add.c index ece9753..979e470 100644 --- a/bn_s_mp_add.c +++ b/bn_s_mp_add.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_ADD_C) +#include "tommath_private.h" +#ifdef BN_S_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -67,7 +64,7 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = *tmpa++ + *tmpb++ + u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); + u = *tmpc >> (mp_digit)DIGIT_BIT; /* take away carry bit from T[i] */ *tmpc++ &= MP_MASK; @@ -82,7 +79,7 @@ int s_mp_add(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = x->dp[i] + u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); + u = *tmpc >> (mp_digit)DIGIT_BIT; /* take away carry bit from T[i] */ *tmpc++ &= MP_MASK; diff --git a/bn_s_mp_exptmod.c b/bn_s_mp_exptmod.c index 372a45e..b22cde8 100644 --- a/bn_s_mp_exptmod.c +++ b/bn_s_mp_exptmod.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_EXPTMOD_C) +#include "tommath_private.h" +#ifdef BN_S_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,11 +9,9 @@ * 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 + * SPDX-License-Identifier: Unlicense */ + #ifdef MP_LOW_MEM # define TAB_SIZE 32 #else @@ -25,7 +23,7 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i mp_int M[TAB_SIZE], res, mu; mp_digit buf; int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int *, const mp_int *, const mp_int *); + int (*redux)(mp_int *x, const mp_int *m, const mp_int *mu); /* find window size */ x = mp_count_bits(X); @@ -100,19 +98,19 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i /* compute the value at M[1<<(winsize-1)] by squaring * M[1] (winsize-1) times */ - if ((err = mp_copy(&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { + if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; } for (x = 0; x < (winsize - 1); x++) { /* square it */ - if ((err = mp_sqr(&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { + if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)], + &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; } /* reduce modulo P */ - if ((err = redux(&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { + if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) { goto LBL_MU; } } @@ -133,7 +131,7 @@ int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, i if ((err = mp_init(&res)) != MP_OKAY) { goto LBL_MU; } - mp_set(&res, 1); + mp_set(&res, 1uL); /* set initial mode and bit cnt */ mode = 0; diff --git a/bn_s_mp_mul_digs.c b/bn_s_mp_mul_digs.c index f38d3c5..332e974 100644 --- a/bn_s_mp_mul_digs.c +++ b/bn_s_mp_mul_digs.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_MUL_DIGS_C) +#include "tommath_private.h" +#ifdef BN_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -28,9 +25,9 @@ int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) mp_digit tmpx, *tmpt, *tmpy; /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && + if ((digs < (int)MP_WARRAY) && (MIN(a->used, b->used) < - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { + (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { return fast_s_mp_mul_digs(a, b, c, digs); } @@ -66,10 +63,10 @@ int s_mp_mul_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) (mp_word)u; /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit)(r & ((mp_word) MP_MASK)); + *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* get the carry word from the result */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); } /* set carry if it is placed below digs */ if ((ix + iy) < digs) { diff --git a/bn_s_mp_mul_high_digs.c b/bn_s_mp_mul_high_digs.c index a9ffe59..509682b 100644 --- a/bn_s_mp_mul_high_digs.c +++ b/bn_s_mp_mul_high_digs.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_MUL_HIGH_DIGS_C) +#include "tommath_private.h" +#ifdef BN_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -28,8 +25,8 @@ int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) /* can we use the fast multiplier? */ #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && (MIN(a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { + if (((a->used + b->used + 1) < (int)MP_WARRAY) + && (MIN(a->used, b->used) < (int)(1u << (((size_t)CHAR_BIT * sizeof(mp_word)) - (2u * (size_t)DIGIT_BIT))))) { return fast_s_mp_mul_high_digs(a, b, c, digs); } #endif @@ -61,10 +58,10 @@ int s_mp_mul_high_digs(const mp_int *a, const mp_int *b, mp_int *c, int digs) (mp_word)u; /* get the lower part */ - *tmpt++ = (mp_digit)(r & ((mp_word) MP_MASK)); + *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* carry the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); } *tmpt = u; } diff --git a/bn_s_mp_sqr.c b/bn_s_mp_sqr.c index 249c5f5..b3d0fd0 100644 --- a/bn_s_mp_sqr.c +++ b/bn_s_mp_sqr.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_SQR_C) +#include "tommath_private.h" +#ifdef BN_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -38,10 +35,10 @@ int s_mp_sqr(const mp_int *a, mp_int *b) ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); /* store lower part in result */ - t.dp[ix+ix] = (mp_digit)(r & ((mp_word)MP_MASK)); + t.dp[ix+ix] = (mp_digit)(r & (mp_word)MP_MASK); /* get the carry */ - u = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); /* left hand side of A[ix] * A[iy] */ tmpx = a->dp[ix]; @@ -51,24 +48,24 @@ int s_mp_sqr(const mp_int *a, mp_int *b) for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); + r = (mp_word)tmpx * (mp_word)a->dp[iy]; /* now calculate the double precision result, note we use * addition instead of *2 since it's easier to optimize */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); + r = (mp_word)*tmpt + r + r + (mp_word)u; /* store lower part */ - *tmpt++ = (mp_digit)(r & ((mp_word) MP_MASK)); + *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); } /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit)(r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); + while (u != 0uL) { + r = (mp_word)*tmpt + (mp_word)u; + *tmpt++ = (mp_digit)(r & (mp_word)MP_MASK); + u = (mp_digit)(r >> (mp_word)DIGIT_BIT); } } diff --git a/bn_s_mp_sub.c b/bn_s_mp_sub.c index a238d13..88e44dc 100644 --- a/bn_s_mp_sub.c +++ b/bn_s_mp_sub.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BN_S_MP_SUB_C) +#include "tommath_private.h" +#ifdef BN_S_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -53,7 +50,7 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); + u = *tmpc >> (((size_t)CHAR_BIT * sizeof(mp_digit)) - 1u); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -65,7 +62,7 @@ int s_mp_sub(const mp_int *a, const mp_int *b, mp_int *c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); + u = *tmpc >> (((size_t)CHAR_BIT * sizeof(mp_digit)) - 1u); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; diff --git a/bncore.c b/bncore.c index 5664138..c97b8e1 100644 --- a/bncore.c +++ b/bncore.c @@ -1,5 +1,5 @@ -#include -#if defined(ALL_FUNCTIONS) || defined(BNCORE_C) +#include "tommath_private.h" +#ifdef BNCORE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * * LibTomMath is a library that provides multiple-precision @@ -9,10 +9,7 @@ * 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 + * SPDX-License-Identifier: Unlicense */ /* Known optimal configurations diff --git a/callgraph.txt b/callgraph.txt index 52007c0..83ca1c1 100644 --- a/callgraph.txt +++ b/callgraph.txt @@ -93,6 +93,7 @@ BN_FAST_MP_INVMOD_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C @@ -237,6 +238,17 @@ BN_MP_CMP_MAG_C BN_MP_CNT_LSB_C +BN_MP_COMPLEMENT_C ++--->BN_MP_NEG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + BN_MP_COPY_C +--->BN_MP_GROW_C @@ -467,6 +479,7 @@ BN_MP_EXPTMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C @@ -2313,6 +2326,12 @@ BN_MP_GCD_C +--->BN_MP_CLEAR_C +BN_MP_GET_BIT_C + + +BN_MP_GET_DOUBLE_C + + BN_MP_GET_INT_C @@ -2466,6 +2485,7 @@ BN_MP_INVMOD_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C | +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_CLEAR_C @@ -3179,76 +3199,78 @@ BN_MP_IS_SQUARE_C BN_MP_JACOBI_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C ++--->BN_MP_KRONECKER_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C ++--->BN_MP_CMP_D_C BN_MP_KARATSUBA_MUL_C @@ -3394,6 +3416,79 @@ BN_MP_KARATSUBA_SQR_C +--->BN_MP_CLEAR_C +BN_MP_KRONECKER_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + BN_MP_LCM_C +--->BN_MP_INIT_MULTI_C | +--->BN_MP_INIT_C @@ -4579,6 +4674,7 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C @@ -5505,6 +5601,2300 @@ BN_MP_PRIME_FERMAT_C +--->BN_MP_CLEAR_C +BN_MP_PRIME_FROBENIUS_UNDERWOOD_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_IS_SQUARE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SET_INT_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_INT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_INT_C +| | +--->BN_MP_SQRT_C +| | | +--->BN_MP_N_ROOT_C +| | | | +--->BN_MP_N_ROOT_EX_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXPT_D_EX_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MUL_C +| | | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_SQR_C +| | | | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2D_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SUB_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SET_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_READ_RADIX_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_RAND_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_LONG_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_KRONECKER_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C ++--->BN_MP_GET_BIT_C ++--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + BN_MP_PRIME_IS_DIVISIBLE_C +--->BN_MP_MOD_D_C | +--->BN_MP_DIV_D_C @@ -5530,6 +7920,520 @@ BN_MP_PRIME_IS_DIVISIBLE_C BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_IS_SQUARE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SET_INT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_INT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_GET_INT_C +| +--->BN_MP_SQRT_C +| | +--->BN_MP_N_ROOT_C +| | | +--->BN_MP_N_ROOT_EX_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXPT_D_EX_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_SQR_C +| | | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SQR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_SUB_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_C +--->BN_MP_CMP_D_C +--->BN_MP_PRIME_IS_DIVISIBLE_C | +--->BN_MP_MOD_D_C @@ -5553,9 +8457,10 @@ BN_MP_PRIME_IS_PRIME_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C ++--->BN_MP_INIT_SET_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +--->BN_MP_PRIME_MILLER_RABIN_C | +--->BN_MP_INIT_COPY_C | | +--->BN_MP_INIT_SIZE_C @@ -5588,6 +8493,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_SET_C | | | | | | +--->BN_MP_COUNT_BITS_C | | | | | | +--->BN_MP_ABS_C | | | | | | +--->BN_MP_MUL_2D_C @@ -5632,6 +8538,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5653,6 +8561,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | +--->BN_MP_CLEAR_C @@ -5666,6 +8575,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | +--->BN_MP_COPY_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_SET_C | | | | | | +--->BN_MP_COUNT_BITS_C | | | | | | +--->BN_MP_ABS_C | | | | | | +--->BN_MP_MUL_2D_C @@ -5712,6 +8622,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5755,6 +8667,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -5882,6 +8795,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -5988,6 +8903,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -6154,6 +9070,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_EXCH_C | | +--->BN_MP_DR_IS_MODULUS_C | | +--->BN_MP_REDUCE_IS_2K_C @@ -6216,6 +9134,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_MP_2EXPT_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C @@ -6295,6 +9215,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C @@ -6333,6 +9254,8 @@ BN_MP_PRIME_IS_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C @@ -6585,6 +9508,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C | | | | +--->BN_MP_COUNT_BITS_C | | | | +--->BN_MP_ABS_C | | | | +--->BN_MP_MUL_2D_C @@ -6626,6 +9550,665 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C ++--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_LONG_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_KRONECKER_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_GCD_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_GET_BIT_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_LONG_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_MULTI_C +| +--->BN_MP_GCD_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_KRONECKER_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_GET_BIT_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_READ_RADIX_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_RAND_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +--->BN_MP_CLEAR_C @@ -6730,6 +10313,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C @@ -7754,491 +11338,293 @@ BN_MP_PRIME_NEXT_PRIME_C +--->BN_MP_ADD_D_C | +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_IS_SQUARE_C +| | +--->BN_MP_INIT_SET_INT_C +| | | +--->BN_MP_SET_INT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CMP_C | | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C +| | +--->BN_MP_GET_INT_C +| | +--->BN_MP_SQRT_C +| | | +--->BN_MP_N_ROOT_C +| | | | +--->BN_MP_N_ROOT_EX_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXPT_D_EX_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MUL_C +| | | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_SQR_C +| | | | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_FAST_S_MP_SQR_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_S_MP_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C | | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C @@ -8247,260 +11633,22 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C | | | | | | | | +--->BN_MP_RSHD_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_ADD_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C @@ -8508,195 +11656,90 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2D_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_CLEAR_C | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SQR_C | | | +--->BN_MP_TOOM_SQR_C | | | | +--->BN_MP_INIT_MULTI_C @@ -8769,110 +11812,16 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_CMP_D_C | +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_SET_C | +--->BN_MP_PRIME_MILLER_RABIN_C | | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CNT_LSB_C | | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C @@ -8959,6 +11908,7 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C @@ -9932,6 +12882,2928 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_READ_RADIX_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_RAND_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_IS_SQUARE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SET_INT_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_INT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_INT_C +| | +--->BN_MP_SQRT_C +| | | +--->BN_MP_N_ROOT_C +| | | | +--->BN_MP_N_ROOT_EX_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXPT_D_EX_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MUL_C +| | | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_SQR_C +| | | | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2D_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SUB_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SET_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_READ_RADIX_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_RAND_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C +--->BN_MP_SUB_D_C | +--->BN_MP_GROW_C @@ -9948,6 +15820,2300 @@ BN_MP_PRIME_RANDOM_EX_C | +--->BN_MP_CLAMP_C +BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_IS_SQUARE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SET_INT_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_INT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_GET_INT_C +| | +--->BN_MP_SQRT_C +| | | +--->BN_MP_N_ROOT_C +| | | | +--->BN_MP_N_ROOT_EX_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXPT_D_EX_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MUL_C +| | | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_SQR_C +| | | | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_SUB_C +| | | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_ADD_C +| | | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SQR_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2D_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_COPY_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SUB_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SET_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_SET_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_LONG_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_KRONECKER_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_GCD_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CNT_LSB_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_GET_BIT_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_READ_RADIX_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_RAND_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_LONG_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_KRONECKER_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_GET_BIT_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_MULTI_C + + BN_MP_RADIX_SIZE_C +--->BN_MP_COUNT_BITS_C +--->BN_MP_INIT_COPY_C @@ -10453,6 +18619,26 @@ BN_MP_SET_C +--->BN_MP_ZERO_C +BN_MP_SET_DOUBLE_C ++--->BN_MP_SET_LONG_LONG_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C + + BN_MP_SET_INT_C +--->BN_MP_ZERO_C +--->BN_MP_MUL_2D_C @@ -10616,73 +18802,74 @@ BN_MP_SQRTMOD_PRIME_C +--->BN_MP_CMP_D_C +--->BN_MP_ZERO_C +--->BN_MP_JACOBI_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_KRONECKER_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C +--->BN_MP_INIT_MULTI_C | +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C @@ -10795,6 +18982,7 @@ BN_MP_SQRTMOD_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C @@ -12382,6 +20570,172 @@ BN_MP_SUB_D_C +--->BN_MP_CLAMP_C +BN_MP_TC_AND_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_AND_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_TC_DIV_2D_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_TC_OR_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_OR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_TC_XOR_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_XOR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + BN_MP_TOOM_MUL_C +--->BN_MP_INIT_MULTI_C | +--->BN_MP_INIT_C diff --git a/changes.txt b/changes.txt index 51da801..aa0c64c 100644 --- a/changes.txt +++ b/changes.txt @@ -1,3 +1,25 @@ +Jan 28th, 2019 +v1.1.0 + -- Christoph Zurnieden contributed FIPS 186.4 compliant + prime-checking (PR #113), several other fixes and a load of documentation + -- Daniel Mendler provided two's-complement functions (PR #124) + and mp_{set,get}_double() (PR #123) + -- Francois Perrad took care of linting the sources, provided all fixes and + a astylerc to auto-format the sources. + -- A bunch of patches by Kevin B Kenny have been back-ported from TCL + -- Jan Nijtmans provided the patches to `const`ify all API + function arguments (also from TCL) + -- mp_rand() has now several native random provider implementations + and doesn't rely on `rand()` anymore + -- Karel Miko provided fixes when building for MS Windows + and re-worked the makefile generating process + -- The entire environment and build logic has been extended and improved + regarding auto-detection of platforms, libtool and a lot more + -- Prevent some potential BOF cases + -- Improved/fixed mp_lshd() and mp_invmod() + -- A load more bugs were fixed by various contributors + + Aug 29th, 2017 v1.0.1 -- Dmitry Kovalenko provided fixes to mp_add_d() and mp_init_copy() diff --git a/demo/demo.c b/demo/demo.c index 7136a4c..642eab7 100644 --- a/demo/demo.c +++ b/demo/demo.c @@ -1,13 +1,6 @@ #include #include -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - /* * Configuration */ @@ -32,7 +25,7 @@ #include "tommath.h" -void ndraw(mp_int * a, char *name) +static void ndraw(mp_int *a, const char *name) { char buf[16000]; @@ -43,113 +36,140 @@ void ndraw(mp_int * a, char *name) printf("0x%s\n", buf); } -#if LTM_DEMO_TEST_VS_MTEST -static void draw(mp_int * a) +#if LTM_DEMO_TEST_VS_MTEST != 0 +static void draw(mp_int *a) { ndraw(a, ""); } #endif - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - #if defined(LTM_DEMO_REAL_RAND) && !defined(_WIN32) -static FILE* fd_urandom; +static FILE *fd_urandom; #endif -int myrng(unsigned char *dst, int len, void *dat) +#if LTM_DEMO_TEST_VS_MTEST == 0 +static int myrng(unsigned char *dst, int len, void *dat) { int x; (void)dat; #if defined(LTM_DEMO_REAL_RAND) if (!fd_urandom) { -#if !defined(_WIN32) +# if !defined(_WIN32) fprintf(stderr, "\nno /dev/urandom\n"); -#endif - } - else { - return fread(dst, 1, len, fd_urandom); +# endif + } else { + return fread(dst, 1uL, len, fd_urandom); } #endif - for (x = 0; x < len; ) { + for (x = 0; x < len;) { unsigned int r = (unsigned int)rand(); do { - dst[x++] = r & 0xFF; + dst[x++] = r & 0xFFu; r >>= 8; - } while((r != 0) && (x < len)); + } while ((r != 0u) && (x < len)); } return len; } +#endif #if LTM_DEMO_TEST_VS_MTEST != 0 static void _panic(int l) { - fprintf(stderr, "\n%d: fgets failed\n", l); - exit(EXIT_FAILURE); + fprintf(stderr, "\n%d: fgets failed\n", l); + exit(EXIT_FAILURE); } + +#define FGETS(str, size, stream) \ + { \ + char *ret = fgets(str, size, stream); \ + if (!ret) { _panic(__LINE__); } \ + } #endif -mp_int a, b, c, d, e, f; +static mp_int a, b, c, d, e, f; static void _cleanup(void) { - mp_clear_multi(&a, &b, &c, &d, &e, &f, NULL); - printf("\n"); + mp_clear_multi(&a, &b, &c, &d, &e, &f, NULL); + printf("\n"); #ifdef LTM_DEMO_REAL_RAND - if(fd_urandom) - fclose(fd_urandom); + if (fd_urandom) + fclose(fd_urandom); #endif } +#if LTM_DEMO_TEST_VS_MTEST == 0 struct mp_sqrtmod_prime_st { unsigned long p; unsigned long n; mp_digit r; }; -struct mp_sqrtmod_prime_st sqrtmod_prime[] = { - { 5, 14, 3 }, - { 7, 9, 4 }, - { 113, 2, 62 } +static struct mp_sqrtmod_prime_st sqrtmod_prime[] = { + { 5, 14, 3 }, + { 7, 9, 4 }, + { 113, 2, 62 } }; struct mp_jacobi_st { unsigned long n; int c[16]; }; -struct mp_jacobi_st jacobi[] = { - { 3, { 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, - { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, - { 7, { 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, - { 9, { -1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, +static struct mp_jacobi_st jacobi[] = { + { 3, { 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, + { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, + { 7, { 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, + { 9, { -1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, }; -char cmd[4096], buf[4096]; +struct mp_kronecker_st { + long n; + int c[21]; +}; +static struct mp_kronecker_st kronecker[] = { + /*-10, -9, -8, -7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10*/ + { -10, { 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0 } }, + { -9, { -1, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, 1, 1, 0, -1, 1, 0, 1 } }, + { -8, { 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0 } }, + { -7, { 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, + { -6, { 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0 } }, + { -5, { 0, -1, 1, -1, 1, 0, -1, -1, 1, -1, 0, 1, -1, 1, 1, 0, -1, 1, -1, 1, 0 } }, + { -4, { 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0 } }, + { -3, { -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, + { -2, { 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0 } }, + { -1, { -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1 } }, + { 0, { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 } }, + { 1, { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 } }, + { 2, { 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0 } }, + { 3, { 1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1 } }, + { 4, { 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 } }, + { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, + { 6, { 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0 } }, + { 7, { -1, 1, 1, 0, 1, -1, 1, 1, 1, 1, 0, 1, 1, 1, 1, -1, 1, 0, 1, 1, -1 } }, + { 8, { 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0 } }, + { 9, { 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, + { 10, { 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0 } } +}; +#endif + +#if LTM_DEMO_TEST_VS_MTEST != 0 +static char cmd[4096]; +#endif +static char buf[4096]; int main(void) { unsigned rr; - int cnt, ix; -#if LTM_DEMO_TEST_VS_MTEST + int ix; +#if LTM_DEMO_TEST_VS_MTEST != 0 unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n; - char* ret; + gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n; #else unsigned long s, t; + long k, m; unsigned long long q, r; mp_digit mp; - int i, n, err, should; + int i, n, err, should, cnt; #endif if (mp_init_multi(&a, &b, &c, &d, &e, &f, NULL)!= MP_OKAY) - return EXIT_FAILURE; + return EXIT_FAILURE; atexit(_cleanup); @@ -157,9 +177,9 @@ int main(void) if (!fd_urandom) { fd_urandom = fopen("/dev/urandom", "r"); if (!fd_urandom) { -#if !defined(_WIN32) +# if !defined(_WIN32) fprintf(stderr, "\ncould not open /dev/urandom\n"); -#endif +# endif } } #endif @@ -183,10 +203,10 @@ int main(void) printf("MP_PREC: %d\n", MP_PREC); #if LTM_DEMO_TEST_VS_MTEST == 0 - // trivial stuff - // a: 0->5 + /* trivial stuff */ + /* a: 0->5 */ mp_set_int(&a, 5); - // a: 5-> b: -5 + /* a: 5-> b: -5 */ mp_neg(&a, &b); if (mp_cmp(&a, &b) != MP_GT) { return EXIT_FAILURE; @@ -194,41 +214,50 @@ int main(void) if (mp_cmp(&b, &a) != MP_LT) { return EXIT_FAILURE; } - // a: 5-> a: -5 + /* a: 5-> a: -5 */ mp_neg(&a, &a); if (mp_cmp(&b, &a) != MP_EQ) { return EXIT_FAILURE; } - // a: -5-> b: 5 + /* a: -5-> b: 5 */ mp_abs(&a, &b); if (mp_isneg(&b) != MP_NO) { return EXIT_FAILURE; } - // a: -5-> b: -4 - mp_add_d(&a, 1, &b); + /* a: -5-> b: -4 */ + mp_add_d(&a, 1uL, &b); if (mp_isneg(&b) != MP_YES) { return EXIT_FAILURE; } if (mp_get_int(&b) != 4) { return EXIT_FAILURE; } - // a: -5-> b: 1 - mp_add_d(&a, 6, &b); + /* a: -5-> b: 1 */ + mp_add_d(&a, 6uL, &b); if (mp_get_int(&b) != 1) { return EXIT_FAILURE; } - // a: -5-> a: 1 - mp_add_d(&a, 6, &a); + /* a: -5-> a: 1 */ + mp_add_d(&a, 6uL, &a); if (mp_get_int(&a) != 1) { return EXIT_FAILURE; } mp_zero(&a); - // a: 0-> a: 6 - mp_add_d(&a, 6, &a); + /* a: 0-> a: 6 */ + mp_add_d(&a, 6uL, &a); if (mp_get_int(&a) != 6) { return EXIT_FAILURE; } + mp_set_int(&a, 42); + mp_set_int(&b, 1); + mp_neg(&b, &b); + mp_set_int(&c, 1); + mp_exptmod(&a, &b, &c, &d); + + mp_set_int(&c, 7); + mp_exptmod(&a, &b, &c, &d); + mp_set_int(&a, 0); mp_set_int(&b, 1); @@ -255,20 +284,251 @@ int main(void) printf("Failed executing mp_jacobi(%d | %lu) %s.\n", n, jacobi[cnt].n, mp_error_to_string(err)); return EXIT_FAILURE; } - if (err == MP_OKAY && i != jacobi[cnt].c[n + 5]) { + if ((err == MP_OKAY) && (i != jacobi[cnt].c[n + 5])) { printf("Failed trivial mp_jacobi(%d | %lu) %d != %d\n", n, jacobi[cnt].n, i, jacobi[cnt].c[n + 5]); return EXIT_FAILURE; } } } - // test mp_get_int + + mp_set_int(&a, 0); + mp_set_int(&b, 1u); + if ((err = mp_kronecker(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_kronecker(0 | 1) %s.\n", mp_error_to_string(err)); + return EXIT_FAILURE; + } + if (i != 1) { + printf("Failed trivial mp_kronecker(0 | 1) %d != 1\n", i); + return EXIT_FAILURE; + } + for (cnt = 0; cnt < (int)(sizeof(kronecker)/sizeof(kronecker[0])); ++cnt) { + k = kronecker[cnt].n; + if (k < 0) { + mp_set_int(&a, (unsigned long)(-k)); + mp_neg(&a, &a); + } else { + mp_set_int(&a, (unsigned long) k); + } + /* only test positive values of a */ + for (m = -10; m <= 10; m++) { + if (m < 0) { + mp_set_int(&b,(unsigned long)(-m)); + mp_neg(&b, &b); + } else { + mp_set_int(&b, (unsigned long) m); + } + if ((err = mp_kronecker(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_kronecker(%ld | %ld) %s.\n", kronecker[cnt].n, m, mp_error_to_string(err)); + return EXIT_FAILURE; + } + if ((err == MP_OKAY) && (i != kronecker[cnt].c[m + 10])) { + printf("Failed trivial mp_kronecker(%ld | %ld) %d != %d\n", kronecker[cnt].n, m, i, kronecker[cnt].c[m + 10]); + return EXIT_FAILURE; + } + } + } + /* test mp_complement */ + printf("\n\nTesting: mp_complement"); + for (i = 0; i < 1000; ++i) { + int l = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&a, labs(l)); + if (l < 0) + mp_neg(&a, &a); + mp_complement(&a, &b); + + l = ~l; + mp_set_int(&c, labs(l)); + if (l < 0) + mp_neg(&c, &c); + + if (mp_cmp(&b, &c) != MP_EQ) { + printf("\nmp_complement() bad result!"); + return EXIT_FAILURE; + } + } + + /* test mp_tc_div_2d */ + printf("\n\nTesting: mp_tc_div_2d"); + for (i = 0; i < 1000; ++i) { + int l, em; + + l = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&a, labs(l)); + if (l < 0) + mp_neg(&a, &a); + + em = rand() % 32; + + mp_set_int(&d, labs(l >> em)); + if ((l >> em) < 0) + mp_neg(&d, &d); + + mp_tc_div_2d(&a, em, &b); + if (mp_cmp(&b, &d) != MP_EQ) { + printf("\nmp_tc_div_2d() bad result!"); + return EXIT_FAILURE; + } + } + + /* test mp_tc_xor */ + printf("\n\nTesting: mp_tc_xor"); + for (i = 0; i < 1000; ++i) { + int l, em; + + l = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&a, labs(l)); + if (l < 0) + mp_neg(&a, &a); + + em = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&b, labs(em)); + if (em < 0) + mp_neg(&b, &b); + + mp_set_int(&d, labs(l ^ em)); + if ((l ^ em) < 0) + mp_neg(&d, &d); + + mp_tc_xor(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_tc_xor() bad result!"); + return EXIT_FAILURE; + } + } + + /* test mp_tc_or */ + printf("\n\nTesting: mp_tc_or"); + for (i = 0; i < 1000; ++i) { + int l, em; + + l = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&a, labs(l)); + if (l < 0) + mp_neg(&a, &a); + + em = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&b, labs(em)); + if (em < 0) + mp_neg(&b, &b); + + mp_set_int(&d, labs(l | em)); + if ((l | em) < 0) + mp_neg(&d, &d); + + mp_tc_or(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_tc_or() bad result!"); + return EXIT_FAILURE; + } + } + + /* test mp_tc_and */ + printf("\n\nTesting: mp_tc_and"); + for (i = 0; i < 1000; ++i) { + int l, em; + + l = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&a, labs(l)); + if (l < 0) + mp_neg(&a, &a); + + em = (rand() * rand() + 1) * (rand() % 1 ? -1 : 1); + mp_set_int(&b, labs(em)); + if (em < 0) + mp_neg(&b, &b); + + mp_set_int(&d, labs(l & em)); + if ((l & em) < 0) + mp_neg(&d, &d); + + mp_tc_and(&a, &b, &c); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_tc_and() bad result!"); + return EXIT_FAILURE; + } + } + + /* mp_invmod corner-case of https://github.com/libtom/libtommath/issues/118 */ + printf("\n\nTesting: mp_invmod"); + { + const char *a_ = "47182BB8DF0FFE9F61B1F269BACC066B48BA145D35137D426328DC3F88A5EA44"; + const char *b_ = "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF"; + const char *should_ = "0521A82E10376F8E4FDEF9A32A427AC2A0FFF686E00290D39E3E4B5522409596"; + + if (mp_read_radix(&a, a_, 16) != MP_OKAY) { + printf("\nmp_read_radix(a) failed!"); + return EXIT_FAILURE; + } + if (mp_read_radix(&b, b_, 16) != MP_OKAY) { + printf("\nmp_read_radix(b) failed!"); + return EXIT_FAILURE; + } + if (mp_read_radix(&c, should_, 16) != MP_OKAY) { + printf("\nmp_read_radix(should) failed!"); + return EXIT_FAILURE; + } + + if (mp_invmod(&a, &b, &d) != MP_OKAY) { + printf("\nmp_invmod() failed!"); + return EXIT_FAILURE; + } + + if (mp_cmp(&c, &d) != MP_EQ) { + printf("\nmp_invmod() bad result!"); + return EXIT_FAILURE; + } + } + + /* test mp_get_double/mp_set_double */ +#if defined(__STDC_IEC_559__) || defined(__GCC_IEC_559) + printf("\n\nTesting: mp_get_double"); + if (mp_set_double(&a, +1.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for +inf"); + return EXIT_FAILURE; + } + if (mp_set_double(&a, -1.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for -inf"); + return EXIT_FAILURE; + } + if (mp_set_double(&a, +0.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for NaN"); + return EXIT_FAILURE; + } + if (mp_set_double(&a, -0.0/0.0) != MP_VAL) { + printf("\nmp_set_double should return MP_VAL for NaN"); + return EXIT_FAILURE; + } + + for (i = 0; i < 1000; ++i) { + int tmp = rand(); + double dbl = (double)tmp * rand() + 1; + if (mp_set_double(&a, dbl) != MP_OKAY) { + printf("\nmp_set_double() failed"); + return EXIT_FAILURE; + } + if (dbl != mp_get_double(&a)) { + printf("\nmp_get_double() bad result!"); + return EXIT_FAILURE; + } + if (mp_set_double(&a, -dbl) != MP_OKAY) { + printf("\nmp_set_double() failed"); + return EXIT_FAILURE; + } + if (-dbl != mp_get_double(&a)) { + printf("\nmp_get_double() bad result!"); + return EXIT_FAILURE; + } + } +#endif + + /* test mp_get_int */ printf("\n\nTesting: mp_get_int"); for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand () * rand () + 1) & 0xFFFFFFFF; - mp_set_int (&a, t); - if (t != mp_get_int (&a)) { - printf ("\nmp_get_int() bad result!"); + t = (unsigned long)(rand() * rand() + 1) & 0xFFFFFFFFuL; + mp_set_int(&a, t); + if (t != mp_get_int(&a)) { + printf("\nmp_get_int() bad result!"); return EXIT_FAILURE; } } @@ -277,14 +537,14 @@ int main(void) printf("\nmp_get_int() bad result!"); return EXIT_FAILURE; } - mp_set_int(&a, 0xffffffff); - if (mp_get_int(&a) != 0xffffffff) { + mp_set_int(&a, 0xFFFFFFFFuL); + if (mp_get_int(&a) != 0xFFFFFFFFuL) { printf("\nmp_get_int() bad result!"); return EXIT_FAILURE; } printf("\n\nTesting: mp_get_long\n"); - for (i = 0; i < (int)(sizeof(unsigned long)*CHAR_BIT) - 1; ++i) { + for (i = 0; i < ((int)(sizeof(unsigned long)*CHAR_BIT) - 1); ++i) { t = (1ULL << (i+1)) - 1; if (!t) t = -1; @@ -300,11 +560,11 @@ int main(void) return EXIT_FAILURE; } t <<= 1; - } while(t); + } while (t != 0uL); } printf("\n\nTesting: mp_get_long_long\n"); - for (i = 0; i < (int)(sizeof(unsigned long long)*CHAR_BIT) - 1; ++i) { + for (i = 0; i < ((int)(sizeof(unsigned long long)*CHAR_BIT) - 1); ++i) { r = (1ULL << (i+1)) - 1; if (!r) r = -1; @@ -320,65 +580,65 @@ int main(void) return EXIT_FAILURE; } r <<= 1; - } while(r); + } while (r != 0uLL); } - // test mp_sqrt + /* test mp_sqrt */ printf("\n\nTesting: mp_sqrt\n"); for (i = 0; i < 1000; ++i) { - printf ("%6d\r", i); - fflush (stdout); - n = (rand () & 15) + 1; - mp_rand (&a, n); - if (mp_sqrt (&a, &b) != MP_OKAY) { - printf ("\nmp_sqrt() error!"); + printf("%6d\r", i); + fflush(stdout); + n = (rand() & 15) + 1; + mp_rand(&a, n); + if (mp_sqrt(&a, &b) != MP_OKAY) { + printf("\nmp_sqrt() error!"); return EXIT_FAILURE; } - mp_n_root_ex (&a, 2, &c, 0); - mp_n_root_ex (&a, 2, &d, 1); - if (mp_cmp_mag (&c, &d) != MP_EQ) { - printf ("\nmp_n_root_ex() bad result!"); + mp_n_root_ex(&a, 2, &c, 0); + mp_n_root_ex(&a, 2, &d, 1); + if (mp_cmp_mag(&c, &d) != MP_EQ) { + printf("\nmp_n_root_ex() bad result!"); return EXIT_FAILURE; } - if (mp_cmp_mag (&b, &c) != MP_EQ) { - printf ("mp_sqrt() bad result!\n"); + if (mp_cmp_mag(&b, &c) != MP_EQ) { + printf("mp_sqrt() bad result!\n"); return EXIT_FAILURE; } } printf("\n\nTesting: mp_is_square\n"); for (i = 0; i < 1000; ++i) { - printf ("%6d\r", i); - fflush (stdout); + printf("%6d\r", i); + fflush(stdout); /* test mp_is_square false negatives */ - n = (rand () & 7) + 1; - mp_rand (&a, n); - mp_sqr (&a, &a); - if (mp_is_square (&a, &n) != MP_OKAY) { - printf ("\nfn:mp_is_square() error!"); + n = (rand() & 7) + 1; + mp_rand(&a, n); + mp_sqr(&a, &a); + if (mp_is_square(&a, &n) != MP_OKAY) { + printf("\nfn:mp_is_square() error!"); return EXIT_FAILURE; } if (n == 0) { - printf ("\nfn:mp_is_square() bad result!"); + printf("\nfn:mp_is_square() bad result!"); return EXIT_FAILURE; } /* test for false positives */ - mp_add_d (&a, 1, &a); - if (mp_is_square (&a, &n) != MP_OKAY) { - printf ("\nfp:mp_is_square() error!"); + mp_add_d(&a, 1uL, &a); + if (mp_is_square(&a, &n) != MP_OKAY) { + printf("\nfp:mp_is_square() error!"); return EXIT_FAILURE; } if (n == 1) { - printf ("\nfp:mp_is_square() bad result!"); + printf("\nfp:mp_is_square() bad result!"); return EXIT_FAILURE; } } printf("\n\n"); - // r^2 = n (mod p) + /* r^2 = n (mod p) */ for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) { mp_set_int(&a, sqrtmod_prime[i].p); mp_set_int(&b, sqrtmod_prime[i].n); @@ -395,49 +655,115 @@ int main(void) /* test for size */ for (ix = 10; ix < 128; ix++) { - printf ("Testing (not safe-prime): %9d bits \r", ix); - fflush (stdout); - err = mp_prime_random_ex (&a, 8, ix, - (rand () & 1) ? 0 : LTM_PRIME_2MSB_ON, myrng, - NULL); + printf("Testing (not safe-prime): %9d bits \r", ix); + fflush(stdout); + err = mp_prime_random_ex(&a, 8, ix, + (rand() & 1) ? 0 : LTM_PRIME_2MSB_ON, myrng, + NULL); if (err != MP_OKAY) { - printf ("failed with err code %d\n", err); + printf("\nfailed with error: %s\n", mp_error_to_string(err)); return EXIT_FAILURE; } - if (mp_count_bits (&a) != ix) { - printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); return EXIT_FAILURE; } } printf("\n"); + + /* strong Miller-Rabin pseudoprime to the first 200 primes (F. Arnault) */ + puts("Testing mp_prime_is_prime() with Arnault's pseudoprime 803...901 \n"); + mp_read_radix(&a, + "91xLNF3roobhzgTzoFIG6P13ZqhOVYSN60Fa7Cj2jVR1g0k89zdahO9/kAiRprpfO1VAp1aBHucLFV/qLKLFb+zonV7R2Vxp1K13ClwUXStpV0oxTNQVjwybmFb5NBEHImZ6V7P6+udRJuH8VbMEnS0H8/pSqQrg82OoQQ2fPpAk6G1hkjqoCv5s/Yr", + 64); + mp_prime_is_prime(&a, 8, &cnt); + if (cnt == MP_YES) { + printf("Arnault's pseudoprime is not prime but mp_prime_is_prime says it is.\n"); + return EXIT_FAILURE; + } + /* About the same size as Arnault's pseudoprime */ + puts("Testing mp_prime_is_prime() with certified prime 2^1119 + 53\n"); + mp_set(&a,1u); + mp_mul_2d(&a,1119,&a); + mp_add_d(&a,53,&a); + err = mp_prime_is_prime(&a, 8, &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("A certified prime is a prime but mp_prime_is_prime says it is not.\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: "); + mp_fwrite(&a,16,stdout); + putchar('\n'); + return EXIT_FAILURE; + } for (ix = 16; ix < 128; ix++) { - printf ("Testing ( safe-prime): %9d bits \r", ix); - fflush (stdout); - err = mp_prime_random_ex ( - &a, 8, ix, ((rand () & 1) ? 0 : LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, - myrng, NULL); + printf("Testing ( safe-prime): %9d bits \r", ix); + fflush(stdout); + err = mp_prime_random_ex( + &a, 8, ix, ((rand() & 1) ? 0 : LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, + myrng, NULL); if (err != MP_OKAY) { - printf ("failed with err code %d\n", err); + printf("\nfailed with error: %s\n", mp_error_to_string(err)); return EXIT_FAILURE; } - if (mp_count_bits (&a) != ix) { - printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + if (mp_count_bits(&a) != ix) { + printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); return EXIT_FAILURE; } /* let's see if it's really a safe prime */ - mp_sub_d (&a, 1, &a); - mp_div_2 (&a, &a); - mp_prime_is_prime (&a, 8, &cnt); - if (cnt != MP_YES) { - printf ("sub is not prime!\n"); + mp_sub_d(&a, 1uL, &b); + mp_div_2(&b, &b); + err = mp_prime_is_prime(&b, 8, &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nfailed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("\nsub is not prime!\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: "); + mp_fwrite(&a,16,stdout); + putchar('\n'); + printf("sub tested was: "); + mp_fwrite(&b,16,stdout); + putchar('\n'); return EXIT_FAILURE; } + } + /* Check regarding problem #143 */ +#ifndef MP_8BIT + mp_read_radix(&a, + "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF", + 16); + err = mp_prime_strong_lucas_selfridge(&a, &cnt); + /* small problem */ + if (err != MP_OKAY) { + printf("\nmp_prime_strong_lucas_selfridge failed with error: %s\n", mp_error_to_string(err)); + } + /* large problem */ + if (cnt == MP_NO) { + printf("\n\nissue #143 - mp_prime_strong_lucas_selfridge FAILED!\n"); + } + if ((err != MP_OKAY) || (cnt == MP_NO)) { + printf("prime tested was: "); + mp_fwrite(&a,16,stdout); + putchar('\n'); + return EXIT_FAILURE; + } +#endif printf("\n\n"); - // test montgomery + /* test montgomery */ printf("Testing: montgomery...\n"); for (i = 1; i <= 10; i++) { if (i == 10) @@ -448,33 +774,35 @@ int main(void) mp_rand(&a, i); a.dp[0] |= 1; - // let's see if R is right + /* let's see if R is right */ mp_montgomery_calc_normalization(&b, &a); mp_montgomery_setup(&a, &mp); - // now test a random reduction + /* now test a random reduction */ for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); + mp_rand(&c, 1 + abs(rand()) % (2*i)); + mp_copy(&c, &d); + mp_copy(&c, &e); - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); + mp_mod(&d, &a, &d); + mp_montgomery_reduce(&c, &a, mp); + mp_mulmod(&c, &b, &a, &c); - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); return EXIT_FAILURE; } - /* only one big montgomery reduction */ - if (i > 10) - { - n = 1000; - ix = 100; - } + if (mp_cmp(&c, &d) != MP_EQ) { +/* *INDENT-OFF* */ + printf("d = e mod a, c = e MOD a\n"); + mp_todecimal(&a, buf); printf("a = %s\n", buf); + mp_todecimal(&e, buf); printf("e = %s\n", buf); + mp_todecimal(&d, buf); printf("d = %s\n", buf); + mp_todecimal(&c, buf); printf("c = %s\n", buf); + printf("compare no compare!\n"); return EXIT_FAILURE; +/* *INDENT-ON* */ + } + /* only one big montgomery reduction */ + if (i > 10) { + n = 1000; + ix = 100; + } } } } @@ -502,123 +830,122 @@ printf("compare no compare!\n"); return EXIT_FAILURE; } /* test mp_cnt_lsb */ printf("\n\nTesting: mp_cnt_lsb"); - mp_set(&a, 1); + mp_set(&a, 1uL); for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb (&a) != ix) { - printf ("Failed at %d, %d\n", ix, mp_cnt_lsb (&a)); + if (mp_cnt_lsb(&a) != ix) { + printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); return EXIT_FAILURE; } - mp_mul_2 (&a, &a); + mp_mul_2(&a, &a); } -/* test mp_reduce_2k */ + /* test mp_reduce_2k */ printf("\n\nTesting: mp_reduce_2k\n"); for (cnt = 3; cnt <= 128; ++cnt) { mp_digit tmp; - mp_2expt (&a, cnt); - mp_sub_d (&a, 2, &a); /* a = 2**cnt - 2 */ + mp_2expt(&a, cnt); + mp_sub_d(&a, 2uL, &a); /* a = 2**cnt - 2 */ - printf ("\r %4d bits", cnt); - printf ("(%d)", mp_reduce_is_2k (&a)); - mp_reduce_2k_setup (&a, &tmp); - printf ("(%lu)", (unsigned long) tmp); + printf("\r %4d bits", cnt); + printf("(%d)", mp_reduce_is_2k(&a)); + mp_reduce_2k_setup(&a, &tmp); + printf("(%lu)", (unsigned long) tmp); for (ix = 0; ix < 1000; ix++) { if (!(ix & 127)) { - printf ("."); - fflush (stdout); + printf("."); + fflush(stdout); } - mp_rand (&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy (&c, &b); - mp_mod (&c, &a, &c); - mp_reduce_2k (&b, &a, 2); - if (mp_cmp (&c, &b)) { - printf ("FAILED\n"); + mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); + mp_copy(&c, &b); + mp_mod(&c, &a, &c); + mp_reduce_2k(&b, &a, 2uL); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("FAILED\n"); return EXIT_FAILURE; } } } -/* test mp_div_3 */ + /* test mp_div_3 */ printf("\n\nTesting: mp_div_3...\n"); - mp_set(&d, 3); + mp_set(&d, 3uL); for (cnt = 0; cnt < 10000;) { mp_digit r2; - if (!(++cnt & 127)) - { - printf("%9d\r", cnt); - fflush(stdout); + if (!(++cnt & 127)) { + printf("%9d\r", cnt); + fflush(stdout); } mp_rand(&a, abs(rand()) % 128 + 1); mp_div(&a, &d, &b, &e); mp_div_3(&a, &c, &r2); if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\nmp_div_3 => Failure\n"); + printf("\nmp_div_3 => Failure\n"); } } printf("\nPassed div_3 testing"); -/* test the DR reduction */ + /* test the DR reduction */ printf("\n\nTesting: mp_dr_reduce...\n"); for (cnt = 2; cnt < 32; cnt++) { - printf ("\r%d digit modulus", cnt); - mp_grow (&a, cnt); - mp_zero (&a); + printf("\r%d digit modulus", cnt); + mp_grow(&a, cnt); + mp_zero(&a); for (ix = 1; ix < cnt; ix++) { a.dp[ix] = MP_MASK; } a.used = cnt; a.dp[0] = 3; - mp_rand (&b, cnt - 1); - mp_copy (&b, &c); + mp_rand(&b, cnt - 1); + mp_copy(&b, &c); rr = 0; do { if (!(rr & 127)) { - printf ("."); - fflush (stdout); + printf("."); + fflush(stdout); } - mp_sqr (&b, &b); - mp_add_d (&b, 1, &b); - mp_copy (&b, &c); + mp_sqr(&b, &b); + mp_add_d(&b, 1uL, &b); + mp_copy(&b, &c); - mp_mod (&b, &a, &b); - mp_dr_setup(&a, &mp), - mp_dr_reduce (&c, &a, mp); + mp_mod(&b, &a, &b); + mp_dr_setup(&a, &mp); + mp_dr_reduce(&c, &a, mp); - if (mp_cmp (&b, &c) != MP_EQ) { - printf ("Failed on trial %u\n", rr); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("Failed on trial %u\n", rr); return EXIT_FAILURE; } } while (++rr < 500); - printf (" passed"); - fflush (stdout); + printf(" passed"); + fflush(stdout); } -#if LTM_DEMO_TEST_REDUCE_2K_L -/* test the mp_reduce_2k_l code */ -#if LTM_DEMO_TEST_REDUCE_2K_L == 1 -/* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ +# if LTM_DEMO_TEST_REDUCE_2K_L + /* test the mp_reduce_2k_l code */ +# if LTM_DEMO_TEST_REDUCE_2K_L == 1 + /* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ mp_2expt(&a, 1024); mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); mp_sub(&a, &b, &a); -#elif LTM_DEMO_TEST_REDUCE_2K_L == 2 -/* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ +# elif LTM_DEMO_TEST_REDUCE_2K_L == 2 + /* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ mp_2expt(&a, 2048); mp_read_radix(&b, - "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", - 16); + "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", + 16); mp_sub(&a, &b, &a); -#else -#error oops -#endif +# else +# error oops +# endif mp_todecimal(&a, buf); printf("\n\np==%s\n", buf); -/* now mp_reduce_is_2k_l() should return */ + /* now mp_reduce_is_2k_l() should return */ if (mp_reduce_is_2k_l(&a) != 1) { printf("mp_reduce_is_2k_l() return 0, should be 1\n"); return EXIT_FAILURE; @@ -632,28 +959,26 @@ printf("compare no compare!\n"); return EXIT_FAILURE; } fflush(stdout); for (cnt = 0; cnt < (int)(1UL << 20); cnt++) { mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); + mp_add_d(&b, 1uL, &b); mp_reduce_2k_l(&b, &a, &d); mp_sqr(&c, &c); - mp_add_d(&c, 1, &c); + mp_add_d(&c, 1uL, &c); mp_mod(&c, &a, &c); if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %d\n", cnt); - mp_tohex(&b, buf); - printf("b == %s\n", buf); - mp_tohex(&c, buf); - printf("c == %s\n", buf); - return EXIT_FAILURE; + printf("mp_reduce_2k_l() failed at step %d\n", cnt); + mp_tohex(&b, buf); + printf("b == %s\n", buf); + mp_tohex(&c, buf); + printf("c == %s\n", buf); + return EXIT_FAILURE; } } printf("...Passed\n"); -#endif /* LTM_DEMO_TEST_REDUCE_2K_L */ +# endif /* LTM_DEMO_TEST_REDUCE_2K_L */ #else - div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = - sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = - sub_d_n = 0; + sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = add_d_n = sub_d_n = 0; /* force KARA and TOOM to enable despite cutoffs */ KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 8; @@ -663,342 +988,341 @@ printf("compare no compare!\n"); return EXIT_FAILURE; } /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ switch (abs(rand()) % 7) { case 0: - mp_clear(&a); - mp_init(&a); - break; + mp_clear(&a); + mp_init(&a); + break; case 1: - mp_clear(&b); - mp_init(&b); - break; + mp_clear(&b); + mp_init(&b); + break; case 2: - mp_clear(&c); - mp_init(&c); - break; + mp_clear(&c); + mp_init(&c); + break; case 3: - mp_clear(&d); - mp_init(&d); - break; + mp_clear(&d); + mp_init(&d); + break; case 4: - mp_clear(&e); - mp_init(&e); - break; + mp_clear(&e); + mp_init(&e); + break; case 5: - mp_clear(&f); - mp_init(&f); - break; + mp_clear(&f); + mp_init(&f); + break; case 6: - break; /* don't clear any */ + break; /* don't clear any */ } - printf - ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", - add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, - expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - ret=fgets(cmd, 4095, stdin); if(!ret){_panic(__LINE__);} - cmd[strlen(cmd) - 1] = 0; + printf("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", + add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, + expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); + FGETS(cmd, 4095, stdin); + cmd[strlen(cmd) - 1u] = '\0'; printf("%-6s ]\r", cmd); fflush(stdout); - if (!strcmp(cmd, "mul2d")) { - ++mul2d_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - sscanf(buf, "%d", &rr); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); + if (strcmp(cmd, "mul2d") == 0) { + ++mul2d_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + sscanf(buf, "%u", &rr); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); - mp_mul_2d(&a, rr, &a); - a.sign = b.sign; - if (mp_cmp(&a, &b) != MP_EQ) { - printf("mul2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "div2d")) { - ++div2d_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - sscanf(buf, "%d", &rr); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); + mp_mul_2d(&a, rr, &a); + a.sign = b.sign; + if (mp_cmp(&a, &b) != MP_EQ) { + printf("mul2d failed, rr == %u\n", rr); + draw(&a); + draw(&b); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "div2d") == 0) { + ++div2d_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + sscanf(buf, "%u", &rr); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); - mp_div_2d(&a, rr, &a, &e); - a.sign = b.sign; - if (a.used == b.used && a.used == 0) { - a.sign = b.sign = MP_ZPOS; - } - if (mp_cmp(&a, &b) != MP_EQ) { - printf("div2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "add")) { - ++add_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_add(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("add %lu failure!\n", add_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } + mp_div_2d(&a, rr, &a, &e); + a.sign = b.sign; + if ((a.used == b.used) && (a.used == 0)) { + a.sign = b.sign = MP_ZPOS; + } + if (mp_cmp(&a, &b) != MP_EQ) { + printf("div2d failed, rr == %u\n", rr); + draw(&a); + draw(&b); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "add") == 0) { + ++add_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_add(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("add %lu failure!\n", add_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } - /* test the sign/unsigned storage functions */ + /* test the sign/unsigned storage functions */ - rr = mp_signed_bin_size(&c); - mp_to_signed_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_signed_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mp_signed_bin failure!\n"); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } + rr = mp_signed_bin_size(&c); + mp_to_signed_bin(&c, (unsigned char *) cmd); + memset(cmd + rr, rand() & 0xFFu, sizeof(cmd) - rr); + mp_read_signed_bin(&d, (unsigned char *) cmd, rr); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("mp_signed_bin failure!\n"); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } - rr = mp_unsigned_bin_size(&c); - mp_to_unsigned_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp_mag(&c, &d) != MP_EQ) { - printf("mp_unsigned_bin failure!\n"); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } + rr = mp_unsigned_bin_size(&c); + mp_to_unsigned_bin(&c, (unsigned char *) cmd); + memset(cmd + rr, rand() & 0xFFu, sizeof(cmd) - rr); + mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); + if (mp_cmp_mag(&c, &d) != MP_EQ) { + printf("mp_unsigned_bin failure!\n"); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } - } else if (!strcmp(cmd, "sub")) { - ++sub_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_sub(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("sub %lu failure!\n", sub_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "mul")) { - ++mul_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_mul(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mul %lu failure!\n", mul_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "div")) { - ++div_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&d, buf, 64); + } else if (strcmp(cmd, "sub") == 0) { + ++sub_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_sub(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("sub %lu failure!\n", sub_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "mul") == 0) { + ++mul_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_mul(&d, &b, &d); + if (mp_cmp(&c, &d) != MP_EQ) { + printf("mul %lu failure!\n", mul_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "div") == 0) { + ++div_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&d, buf, 64); - mp_div(&a, &b, &e, &f); - if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { - printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), - mp_cmp(&d, &f)); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - draw(&f); - return EXIT_FAILURE; - } + mp_div(&a, &b, &e, &f); + if ((mp_cmp(&c, &e) != MP_EQ) || (mp_cmp(&d, &f) != MP_EQ)) { + printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), + mp_cmp(&d, &f)); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + draw(&e); + draw(&f); + return EXIT_FAILURE; + } - } else if (!strcmp(cmd, "sqr")) { - ++sqr_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - mp_copy(&a, &c); - mp_sqr(&c, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sqr %lu failure!\n", sqr_n); - draw(&a); - draw(&b); - draw(&c); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "gcd")) { - ++gcd_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_gcd(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("gcd %lu failure!\n", gcd_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "lcm")) { - ++lcm_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_lcm(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("lcm %lu failure!\n", lcm_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "expt")) { - ++expt_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&d, buf, 64); - mp_copy(&a, &e); - mp_exptmod(&e, &b, &c, &e); - if (mp_cmp(&d, &e) != MP_EQ) { - printf("expt %lu failure!\n", expt_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "invmod")) { - ++inv_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&c, buf, 64); - mp_invmod(&a, &b, &d); - mp_mulmod(&d, &a, &b, &e); - if (mp_cmp_d(&e, 1) != MP_EQ) { - printf("inv [wrong value from MPI?!] failure\n"); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - mp_gcd(&a, &b, &e); - draw(&e); - return EXIT_FAILURE; - } + } else if (strcmp(cmd, "sqr") == 0) { + ++sqr_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_copy(&a, &c); + mp_sqr(&c, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("sqr %lu failure!\n", sqr_n); + draw(&a); + draw(&b); + draw(&c); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "gcd") == 0) { + ++gcd_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_gcd(&d, &b, &d); + d.sign = c.sign; + if (mp_cmp(&c, &d) != MP_EQ) { + printf("gcd %lu failure!\n", gcd_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "lcm") == 0) { + ++lcm_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_copy(&a, &d); + mp_lcm(&d, &b, &d); + d.sign = c.sign; + if (mp_cmp(&c, &d) != MP_EQ) { + printf("lcm %lu failure!\n", lcm_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "expt") == 0) { + ++expt_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&d, buf, 64); + mp_copy(&a, &e); + mp_exptmod(&e, &b, &c, &e); + if (mp_cmp(&d, &e) != MP_EQ) { + printf("expt %lu failure!\n", expt_n); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + draw(&e); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "invmod") == 0) { + ++inv_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&c, buf, 64); + mp_invmod(&a, &b, &d); + mp_mulmod(&d, &a, &b, &e); + if (mp_cmp_d(&e, 1uL) != MP_EQ) { + printf("inv [wrong value from MPI?!] failure\n"); + draw(&a); + draw(&b); + draw(&c); + draw(&d); + draw(&e); + mp_gcd(&a, &b, &e); + draw(&e); + return EXIT_FAILURE; + } - } else if (!strcmp(cmd, "div2")) { - ++div2_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - mp_div_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("div_2 %lu failure\n", div2_n); - draw(&a); - draw(&b); - draw(&c); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "mul2")) { - ++mul2_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - mp_mul_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("mul_2 %lu failure\n", mul2_n); - draw(&a); - draw(&b); - draw(&c); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "add_d")) { - ++add_d_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - sscanf(buf, "%d", &ix); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - mp_add_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("add_d %lu failure\n", add_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "sub_d")) { - ++sub_d_n; - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&a, buf, 64); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - sscanf(buf, "%d", &ix); - ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} - mp_read_radix(&b, buf, 64); - mp_sub_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sub_d %lu failure\n", sub_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return EXIT_FAILURE; - } - } else if (!strcmp(cmd, "exit")) { + } else if (strcmp(cmd, "div2") == 0) { + ++div2_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_div_2(&a, &c); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("div_2 %lu failure\n", div2_n); + draw(&a); + draw(&b); + draw(&c); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "mul2") == 0) { + ++mul2_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_mul_2(&a, &c); + if (mp_cmp(&c, &b) != MP_EQ) { + printf("mul_2 %lu failure\n", mul2_n); + draw(&a); + draw(&b); + draw(&c); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "add_d") == 0) { + ++add_d_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + sscanf(buf, "%d", &ix); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_add_d(&a, ix, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("add_d %lu failure\n", add_d_n); + draw(&a); + draw(&b); + draw(&c); + printf("d == %d\n", ix); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "sub_d") == 0) { + ++sub_d_n; + FGETS(buf, 4095, stdin); + mp_read_radix(&a, buf, 64); + FGETS(buf, 4095, stdin); + sscanf(buf, "%d", &ix); + FGETS(buf, 4095, stdin); + mp_read_radix(&b, buf, 64); + mp_sub_d(&a, ix, &c); + if (mp_cmp(&b, &c) != MP_EQ) { + printf("sub_d %lu failure\n", sub_d_n); + draw(&a); + draw(&b); + draw(&c); + printf("d == %d\n", ix); + return EXIT_FAILURE; + } + } else if (strcmp(cmd, "exit") == 0) { printf("\nokay, exiting now\n"); break; } diff --git a/demo/timing.c b/demo/timing.c index 2488eb4..7a5da20 100644 --- a/demo/timing.c +++ b/demo/timing.c @@ -1,9 +1,7 @@ #include #include #include -#include - -uint64_t _tt; +#include #ifdef IOWNANATHLON #include @@ -19,7 +17,7 @@ uint64_t _tt; #endif -void ndraw(mp_int * a, char *name) +static void ndraw(mp_int *a, const char *name) { char buf[4096]; @@ -28,22 +26,22 @@ void ndraw(mp_int * a, char *name) printf("%s\n", buf); } -static void draw(mp_int * a) +static void draw(mp_int *a) { ndraw(a, ""); } -unsigned long lfsr = 0xAAAAAAAAUL; +static unsigned long lfsr = 0xAAAAAAAAuL; -int lbit(void) +static unsigned int lbit(void) { - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; + if ((lfsr & 0x80000000uL) != 0uL) { + lfsr = ((lfsr << 1) ^ 0x8000001BuL) & 0xFFFFFFFFuL; + return 1u; } else { lfsr <<= 1; - return 0; + return 0u; } } @@ -52,12 +50,12 @@ static uint64_t TIMFUNC(void) { #if defined __GNUC__ #if defined(__i386__) || defined(__x86_64__) - /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html - * the old code always got a warning issued by gcc, clang did not complain... - */ - unsigned hi, lo; - __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); - return ((uint64_t)lo)|( ((uint64_t)hi)<<32); + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__("rdtsc" : "=a"(lo), "=d"(hi)); + return ((uint64_t)lo)|(((uint64_t)hi)<<32); #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); @@ -68,7 +66,7 @@ static uint64_t TIMFUNC(void) return result; #endif - // Microsoft and Intel Windows compilers + /* Microsoft and Intel Windows compilers */ #elif defined _M_IX86 __asm rdtsc #elif defined _M_AMD64 @@ -84,9 +82,9 @@ static uint64_t TIMFUNC(void) } #define DO(x) x; x; -//#define DO4(x) DO2(x); DO2(x); -//#define DO8(x) DO4(x); DO4(x); -//#define DO(x) DO8(x); DO8(x); +/*#define DO4(x) DO2(x); DO2(x);*/ +/*#define DO8(x) DO4(x); DO4(x);*/ +/*#define DO(x) DO8(x); DO8(x);*/ #ifdef TIMING_NO_LOGS #define FOPEN(a, b) NULL @@ -105,6 +103,10 @@ int main(void) uint64_t tt, gg, CLK_PER_SEC; FILE *log, *logb, *logc, *logd; mp_int a, b, c, d, e, f; +#ifdef LTM_TIMING_PRIME_IS_PRIME + const char *name; + int m; +#endif int n, cnt, ix, old_kara_m, old_kara_s, old_toom_m, old_toom_s; unsigned rr; @@ -122,24 +124,60 @@ int main(void) sleep(1); CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; - printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); + printf("CLK_PER_SEC == %" PRIu64 "\n", CLK_PER_SEC); + +#ifdef LTM_TIMING_PRIME_IS_PRIME + for (m = 0; m < 2; ++m) { + if (m == 0) { + name = " Arnault"; + mp_read_radix(&a, + "91xLNF3roobhzgTzoFIG6P13ZqhOVYSN60Fa7Cj2jVR1g0k89zdahO9/kAiRprpfO1VAp1aBHucLFV/qLKLFb+zonV7R2Vxp1K13ClwUXStpV0oxTNQVjwybmFb5NBEHImZ6V7P6+udRJuH8VbMEnS0H8/pSqQrg82OoQQ2fPpAk6G1hkjqoCv5s/Yr", + 64); + } else { + name = "2^1119 + 53"; + mp_set(&a,1u); + mp_mul_2d(&a,1119,&a); + mp_add_d(&a,53,&a); + } + cnt = mp_prime_rabin_miller_trials(mp_count_bits(&a)); + ix = -cnt; + for (; cnt >= ix; cnt += ix) { + rr = 0u; + tt = UINT64_MAX; + do { + gg = TIMFUNC(); + DO(mp_prime_is_prime(&a, cnt, &n)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + if ((m == 0) && (n == MP_YES)) { + printf("Arnault's pseudoprime is not prime but mp_prime_is_prime says it is.\n"); + return EXIT_FAILURE; + } + } while (++rr < 100u); + printf("Prime-check\t%s(%2d) => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + name, cnt, CLK_PER_SEC / tt, tt); + } + } +#endif + log = FOPEN("logs/add.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); - rr = 0; - tt = -1; + rr = 0u; + tt = UINT64_MAX; do { - gg = TIMFUNC(); - DO(mp_add(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + gg = TIMFUNC(); + DO(mp_add(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100000u); + printf("Adding\t\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF(log, "%6d %9" PRIu64 "\n", cnt * DIGIT_BIT, tt); FFLUSH(log); } FCLOSE(log); @@ -149,19 +187,19 @@ int main(void) SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); - rr = 0; - tt = -1; + rr = 0u; + tt = UINT64_MAX; do { - gg = TIMFUNC(); - DO(mp_sub(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); + gg = TIMFUNC(); + DO(mp_sub(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100000u); - printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + printf("Subtracting\t\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF(log, "%6d %9" PRIu64 "\n", cnt * DIGIT_BIT, tt); FFLUSH(log); } FCLOSE(log); @@ -181,119 +219,119 @@ int main(void) TOOM_SQR_CUTOFF = (ix == 2) ? old_toom_s : 9999; log = FOPEN((ix == 0) ? "logs/mult.log" : (ix == 1) ? "logs/mult_kara.log" : "logs/mult_toom.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_mul(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); - FFLUSH(log); + for (cnt = 4; cnt <= (10240 / DIGIT_BIT); cnt += 2) { + SLEEP; + mp_rand(&a, cnt); + mp_rand(&b, cnt); + rr = 0u; + tt = UINT64_MAX; + do { + gg = TIMFUNC(); + DO(mp_mul(&a, &b, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100u); + printf("Multiplying\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF(log, "%6d %9" PRIu64 "\n", mp_count_bits(&a), tt); + FFLUSH(log); } FCLOSE(log); log = FOPEN((ix == 0) ? "logs/sqr.log" : (ix == 1) ? "logs/sqr_kara.log" : "logs/sqr_toom.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sqr(&a, &b)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); - FFLUSH(log); + for (cnt = 4; cnt <= (10240 / DIGIT_BIT); cnt += 2) { + SLEEP; + mp_rand(&a, cnt); + rr = 0u; + tt = UINT64_MAX; + do { + gg = TIMFUNC(); + DO(mp_sqr(&a, &b)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 100u); + printf("Squaring\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF(log, "%6d %9" PRIu64 "\n", mp_count_bits(&a), tt); + FFLUSH(log); } FCLOSE(log); } { - char *primes[] = { - /* 2K large moduli */ - "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", - "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", - "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", - /* 2K moduli mersenne primes */ - "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", - "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", - "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", - "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", - "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", - "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", + const char *primes[] = { + /* 2K large moduli */ + "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", + "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", + "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", + /* 2K moduli mersenne primes */ + "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", + "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", + "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", + "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", + "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", + "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", - /* DR moduli */ - "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", - "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", - "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", - "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", - "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", - "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", - "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", + /* DR moduli */ + "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", + "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", + "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", + "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", + "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", + "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", + "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", - /* generic unrestricted moduli */ - "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", - "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", - "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", - "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", - "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", - "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", - "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", - NULL + /* generic unrestricted moduli */ + "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", + "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", + "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", + "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", + "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", + "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", + "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", + NULL }; log = FOPEN("logs/expt.log", "w"); logb = FOPEN("logs/expt_dr.log", "w"); logc = FOPEN("logs/expt_2k.log", "w"); logd = FOPEN("logs/expt_2kl.log", "w"); - for (n = 0; primes[n]; n++) { - SLEEP; - mp_read_radix(&a, primes[n], 10); - mp_zero(&b); - for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { - mp_mul_2(&b, &b); - b.dp[0] |= lbit(); - b.used += 1; - } - mp_sub_d(&a, 1, &c); - mp_mod(&b, &c, &b); - mp_set(&c, 3); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_exptmod(&c, &b, &a, &d)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 10); - mp_sub_d(&a, 1, &e); - mp_sub(&e, &b, &b); - mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ - mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ - if (mp_cmp_d(&d, 1)) { - printf("Different (%d)!!!\n", mp_count_bits(&a)); - draw(&d); - exit(0); - } - printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, - "%d %9llu\n", mp_count_bits(&a), tt); + for (n = 0; primes[n] != NULL; n++) { + SLEEP; + mp_read_radix(&a, primes[n], 10); + mp_zero(&b); + for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { + mp_mul_2(&b, &b); + b.dp[0] |= lbit(); + b.used += 1; + } + mp_sub_d(&a, 1uL, &c); + mp_mod(&b, &c, &b); + mp_set(&c, 3uL); + rr = 0u; + tt = UINT64_MAX; + do { + gg = TIMFUNC(); + DO(mp_exptmod(&c, &b, &a, &d)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 10u); + mp_sub_d(&a, 1uL, &e); + mp_sub(&e, &b, &b); + mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ + mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ + if (mp_cmp_d(&d, 1uL) != MP_EQ) { + printf("Different (%d)!!!\n", mp_count_bits(&a)); + draw(&d); + exit(0); + } + printf("Exponentiating\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF((n < 3) ? logd : (n < 9) ? logc : (n < 16) ? logb : log, + "%6d %9" PRIu64 "\n", mp_count_bits(&a), tt); } } FCLOSE(log); @@ -308,27 +346,27 @@ int main(void) mp_rand(&b, cnt); do { - mp_add_d(&b, 1, &b); - mp_gcd(&a, &b, &c); - } while (mp_cmp_d(&c, 1) != MP_EQ); + mp_add_d(&b, 1uL, &b); + mp_gcd(&a, &b, &c); + } while (mp_cmp_d(&c, 1uL) != MP_EQ); - rr = 0; - tt = -1; + rr = 0u; + tt = UINT64_MAX; do { - gg = TIMFUNC(); - DO(mp_invmod(&b, &a, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 1000); + gg = TIMFUNC(); + DO(mp_invmod(&b, &a, &c)); + gg = (TIMFUNC() - gg) >> 1; + if (tt > gg) + tt = gg; + } while (++rr < 1000u); mp_mulmod(&b, &c, &a, &d); - if (mp_cmp_d(&d, 1) != MP_EQ) { - printf("Failed to invert\n"); - return 0; + if (mp_cmp_d(&d, 1uL) != MP_EQ) { + printf("Failed to invert\n"); + return 0; } - printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + printf("Inverting mod\t%4d-bit => %9" PRIu64 "/sec, %9" PRIu64 " cycles\n", + mp_count_bits(&a), CLK_PER_SEC / tt, tt); + FPRINTF(log, "%6d %9" PRIu64 "\n", cnt * DIGIT_BIT, tt); } FCLOSE(log); diff --git a/dep.pl b/dep.pl old mode 100644 new mode 100755 index 71a5dd4..f631100 --- a/dep.pl +++ b/dep.pl @@ -1,4 +1,4 @@ -#!/usr/bin/perl +#!/usr/bin/perl # # Walk through source, add labels and make classes # @@ -7,9 +7,21 @@ use warnings; my %deplist; -#open class file and write preamble +#open class file and write preamble open(my $class, '>', 'tommath_class.h') or die "Couldn't open tommath_class.h for writing\n"; print {$class} << 'EOS'; +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * SPDX-License-Identifier: Unlicense + */ + #if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) #if defined(LTM2) # define LTM3 @@ -18,7 +30,6 @@ print {$class} << 'EOS'; # define LTM2 #endif #define LTM1 - #if defined(LTM_ALL) EOS @@ -34,7 +45,7 @@ foreach my $filename (glob 'bn*.c') { # define $define EOS - # now copy text and apply #ifdef as required + # now copy text and apply #ifdef as required my $apply = 0; open(my $src, '<', $filename); open(my $out, '>', 'tmp'); @@ -45,8 +56,19 @@ EOS print {$out} $line; } else { print {$out} << "EOS"; -#include +#include "tommath_private.h" #ifdef $define +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * SPDX-License-Identifier: Unlicense + */ $line EOS $apply = 1; @@ -59,6 +81,9 @@ EOS if ($apply == 1) { print {$out} << 'EOS'; #endif +/* ref: \$Format:\%D$ */ +/* git commit: \$Format:\%H$ */ +/* commit time: \$Format:\%ai$ */ EOS } close $src; @@ -69,15 +94,14 @@ EOS } print {$class} << 'EOS'; #endif - EOS -# now do classes +# now do classes foreach my $filename (glob 'bn*.c') { open(my $src, '<', $filename) or die "Can't open source file!\n"; - # convert filename to upper case so we can use it as a define + # convert filename to upper case so we can use it as a define $filename =~ tr/[a-z]/[A-Z]/; $filename =~ tr/\./_/; @@ -125,10 +149,14 @@ print {$class} << 'EOS'; #else # define LTM_LAST #endif + +/* ref: $Format:%D$ */ +/* git commit: $Format:%H$ */ +/* commit time: $Format:%ai$ */ EOS close $class; -#now let's make a cool call graph... +#now let's make a cool call graph... open(my $out, '>', 'callgraph.txt'); my $indent = 0; diff --git a/doc/bn.tex b/doc/bn.tex index 4f1724d..ac84ed3 100644 --- a/doc/bn.tex +++ b/doc/bn.tex @@ -49,8 +49,8 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v1.0.1} -\author{Tom St Denis \\ tstdenis82@gmail.com} +\title{LibTomMath User Manual \\ v1.1.0} +\author{LibTom Projects \\ www.libtom.net} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. @@ -60,6 +60,9 @@ formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. \begin{flushright}Open Source. Open Academia. Open Minds. \mbox{ } +LibTom Projects + +\& originally Tom St Denis, @@ -149,7 +152,7 @@ myprng | mtest/mtest | test This will output a row of numbers that are increasing. Each column is a different test (such as addition, multiplication, etc) that is being performed. The numbers represent how many times the test was invoked. If an error is detected the program -will exit with a dump of the relevent numbers it was working with. +will exit with a dump of the relevant numbers it was working with. \section{Build Configuration} LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. @@ -288,7 +291,7 @@ exponentiations. It depends largely on the processor, compiler and the moduli b Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library -that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can +that is very flexible, complete and performs well in resource constrained environments. Fast RSA for example can be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} @@ -543,6 +546,25 @@ int main(void) \end{alltt} \end{small} \section{Maintenance Functions} +\subsection{Clear Leading Zeros} + +This is used to ensure that leading zero digits are trimed and the leading "used" digit will be non-zero. +It also fixes the sign if there are no more leading digits. + +\index{mp\_clamp} +\begin{alltt} +void mp_clamp(mp_int *a); +\end{alltt} + +\subsection{Zero Out} + +This function will set the ``bigint'' to zeros without changing the amount of allocated memory. + +\index{mp\_zero} +\begin{alltt} +void mp_zero(mp_int *a); +\end{alltt} + \subsection{Reducing Memory Usage} When an mp\_int is in a state where it won't be changed again\footnote{A Diffie-Hellman modulus for instance.} excess @@ -637,8 +659,41 @@ int main(void) \end{alltt} \end{small} \chapter{Basic Operations} +\section{Copying} + +A so called ``deep copy'', where new memory is allocated and all contents of $a$ are copied verbatim into $b$ such that $b = a$ at the end. + +\index{mp\_copy} +\begin{alltt} +int mp_copy (mp_int * a, mp_int *b); +\end{alltt} + +You can also just swap $a$ and $b$. It does the normal pointer changing with a temporary pointer variable, just that you do not have to. + +\index{mp\_exch} +\begin{alltt} +void mp_exch (mp_int * a, mp_int *b); +\end{alltt} + +\section{Bit Counting} + +To get the position of the lowest bit set (LSB, the Lowest Significant Bit; the number of bits which are zero before the first zero bit ) + +\index{mp\_cnt\_lsb} +\begin{alltt} +int mp_cnt_lsb(const mp_int *a); +\end{alltt} + +To get the position of the highest bit set (MSB, the Most Significant Bit; the number of bits in teh ``bignum'') + +\index{mp\_count\_bits} +\begin{alltt} +int mp_count_bits(const mp_int *a); +\end{alltt} + + \section{Small Constants} -Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two +Setting mp\_ints to small constants is a relatively common operation. To accommodate these instances there are two small constant assignment functions. The first function is used to set a single digit constant while the second sets an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the domain of a digit can change (it's always at least $0 \ldots 127$). @@ -742,7 +797,7 @@ number == 654321 int mp_set_long (mp_int * a, unsigned long b); \end{alltt} -This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. +This will assign the value of the platform-dependent sized variable $b$ to the mp\_int $a$. To get the ``unsigned long'' copy of an mp\_int the following function can be used. @@ -1100,6 +1155,21 @@ function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may b value to signal that the remainder is not desired. The division itself is implemented as a left-shift operation of $a$ by $b$ bits. +\index{mp\_tc\_div\_2d}\label{arithrightshift} +\begin{alltt} +int mp_tc_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); +\end{alltt} +The two-co,mplement version of the function above. This can be used to implement arbitrary-precision two-complement integers together with the two-complement bit-wise operations at page \ref{tcbitwiseops}. + + +It is also not very uncommon to need just the power of two $2^b$; for example the startvalue for the Newton method. + +\index{mp\_2expt} +\begin{alltt} +int mp_2expt(mp_int *a, int b); +\end{alltt} +It is faster than doing it by shifting $1$ with \texttt{mp\_mul\_2d}. + \subsection{Polynomial Basis Operations} Strictly speaking the organization of the integers within the mp\_int structures is what is known as a @@ -1125,19 +1195,41 @@ void mp_rshd (mp_int * a, int b) This will divide $a$ in place by $x^b$ and discard the remainder. This function cannot fail as it performs the operations in place and no new digits are required to complete it. -\subsection{AND, OR and XOR Operations} +\subsection{AND, OR, XOR and COMPLEMENT Operations} While AND, OR and XOR operations are not typical ``bignum functions'' they can be useful in several instances. The -three functions are prototyped as follows. +four functions are prototyped as follows. -\index{mp\_or} \index{mp\_and} \index{mp\_xor} +\index{mp\_or} \index{mp\_and} \index{mp\_xor} \index {mp\_complement} \begin{alltt} int mp_or (mp_int * a, mp_int * b, mp_int * c); int mp_and (mp_int * a, mp_int * b, mp_int * c); int mp_xor (mp_int * a, mp_int * b, mp_int * c); +int mp_complement(const mp_int *a, mp_int *b); \end{alltt} -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. +Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR and $ b = \sim a $. + +There are also three functions that act as if the ``bignum'' would be a two-complement number. + +\index{mp\_tc\_or} \index{mp\_tc\_and} \index{mp\_tc\_xor}\label{tcbitwiseops} +\begin{alltt} +int mp_tc_or (mp_int * a, mp_int * b, mp_int * c); +int mp_tc_and (mp_int * a, mp_int * b, mp_int * c); +int mp_tc_xor (mp_int * a, mp_int * b, mp_int * c); +\end{alltt} + +The compute $c = a \odot b$ as above if both $a$ and $b$ are positive, negative values are converted into their two-complement representation first. This can be used to implement arbitrary-precision two-complement integers together with the arithmetic right-shift at page \ref{arithrightshift}. + + +\subsection{Bit Picking} +\index{mp\_get\_bit} +\begin{alltt} +int mp_get_bit(mp_int *a, int b) +\end{alltt} + +Pick a bit: returns \texttt{MP\_YES} if the bit at position $b$ (0-index) is set, that is if it is 1 (one), \texttt{MP\_NO} +if the bit is 0 (zero) and \texttt{MP\_VAL} if $b < 0$. \section{Addition and Subtraction} @@ -1167,7 +1259,7 @@ Which assigns $-a$ to $b$. \subsection{Absolute} Simple integer absolutes can be performed with the following. -\index{mp\_neg} +\index{mp\_abs} \begin{alltt} int mp_abs (mp_int * a, mp_int * b); \end{alltt} @@ -1530,9 +1622,9 @@ a single final reduction to correct for the normalization and the fast reduction For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. -\section{Restricted Dimminished Radix} +\section{Restricted Diminished Radix} -``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple +``Diminished Radix'' reduction refers to reduction with respect to moduli that are amenable to simple digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). @@ -1553,8 +1645,8 @@ int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); \end{alltt} This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. +diminished radix form and $a$ must be in the range $0 \le a < b^2$. Diminished radix reductions are +much faster than both Barrett and Montgomery reductions as they have a much lower asymptotic running time. Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed @@ -1563,7 +1655,7 @@ primes are acceptable. Note that unlike Montgomery reduction there is no normalization process. The result of this function is equal to the correct residue. -\section{Unrestricted Dimminshed Radix} +\section{Unrestricted Diminished Radix} Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they @@ -1584,6 +1676,33 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. +\section{Combined Modular Reduction} + +Some of the combinations of an arithmetic operations followed by a modular reduction can be done in a faster way. The ones implemented are: + +Addition $d = (a + b) \mod c$ +\index{mp\_addmod} +\begin{alltt} +int mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +\end{alltt} + +Subtraction $d = (a - b) \mod c$ +\begin{alltt} +int mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +\end{alltt} + +Multiplication $d = (ab) \mod c$ +\begin{alltt} +int mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +\end{alltt} + +Squaring $d = (a^2) \mod c$ +\begin{alltt} +int mp_sqrmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +\end{alltt} + + + \chapter{Exponentiation} \section{Single Digit Exponentiation} \index{mp\_expt\_d\_ex} @@ -1621,10 +1740,17 @@ $X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \ver $gcd(G, P) = 1$. This function is actually a shell around the two internal exponentiation functions. This routine will automatically -detect when Barrett, Montgomery, Restricted and Unrestricted Dimminished Radix based exponentiation can be used. Generally -moduli of the a ``restricted dimminished radix'' form lead to the fastest modular exponentiations. Followed by Montgomery +detect when Barrett, Montgomery, Restricted and Unrestricted Diminished Radix based exponentiation can be used. Generally +moduli of the a ``restricted diminished radix'' form lead to the fastest modular exponentiations. Followed by Montgomery and the other two algorithms. +\section{Modulus a Power of Two} +\index{mp\_mod\_2d} +\begin{alltt} +int mp_mod_2d(const mp_int *a, int b, mp_int *c) +\end{alltt} +It calculates $c = a \mod 2^b$. + \section{Root Finding} \index{mp\_n\_root} \begin{alltt} @@ -1642,6 +1768,15 @@ values of $b$. If particularly large roots are required then a factor method co $a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ + +The square root $c = a^{1/2}$ (with the same conditions $c^2 \le a$ and $(c+1)^2 > a$) is implemented with a faster algorithm. + +\index{mp\_sqrt} +\begin{alltt} +int mp_sqrt (mp_int * a, mp_digit b, mp_int * c) +\end{alltt} + + \chapter{Prime Numbers} \section{Trial Division} \index{mp\_prime\_is\_divisible} @@ -1689,21 +1824,127 @@ require ten tests whereas a 1024-bit number would only require four tests. You should always still perform a trial division before a Miller-Rabin test though. +A small table, broke in two for typographical reasons, with the number of rounds of Miller-Rabin tests is shown below. +The first column is the number of bits $b$ in the prime $p = 2^b$, the numbers in the first row represent the +probability that the number that all of the Miller-Rabin tests deemed a pseudoprime is actually a composite. There is a deterministic test for numbers smaller than $2^{80}$. + +\begin{table}[h] +\begin{center} +\begin{tabular}{c c c c c c c} +\textbf{bits} & $\mathbf{2^{-80}}$ & $\mathbf{2^{-96}}$ & $\mathbf{2^{-112}}$ & $\mathbf{2^{-128}}$ & $\mathbf{2^{-160}}$ & $\mathbf{2^{-192}}$ \\ +80 & 31 & 39 & 47 & 55 & 71 & 87 \\ +96 & 29 & 37 & 45 & 53 & 69 & 85 \\ +128 & 24 & 32 & 40 & 48 & 64 & 80 \\ +160 & 19 & 27 & 35 & 43 & 59 & 75 \\ +192 & 15 & 21 & 29 & 37 & 53 & 69 \\ +256 & 10 & 15 & 20 & 27 & 43 & 59 \\ +384 & 7 & 9 & 12 & 16 & 25 & 38 \\ +512 & 5 & 7 & 9 & 12 & 18 & 26 \\ +768 & 4 & 5 & 6 & 8 & 11 & 16 \\ +1024 & 3 & 4 & 5 & 6 & 9 & 12 \\ +1536 & 2 & 3 & 3 & 4 & 6 & 8 \\ +2048 & 2 & 2 & 3 & 3 & 4 & 6 \\ +3072 & 1 & 2 & 2 & 2 & 3 & 4 \\ +4096 & 1 & 1 & 2 & 2 & 2 & 3 \\ +6144 & 1 & 1 & 1 & 1 & 2 & 2 \\ +8192 & 1 & 1 & 1 & 1 & 2 & 2 \\ +12288 & 1 & 1 & 1 & 1 & 1 & 1 \\ +16384 & 1 & 1 & 1 & 1 & 1 & 1 \\ +24576 & 1 & 1 & 1 & 1 & 1 & 1 \\ +32768 & 1 & 1 & 1 & 1 & 1 & 1 +\end{tabular} +\caption{ Number of Miller-Rabin rounds. Part I } \label{table:millerrabinrunsp1} +\end{center} +\end{table} +\newpage +\begin{table}[h] +\begin{center} +\begin{tabular}{c c c c c c c c} +\textbf{bits} &$\mathbf{2^{-224}}$ & $\mathbf{2^{-256}}$ & $\mathbf{2^{-288}}$ & $\mathbf{2^{-320}}$ & $\mathbf{2^{-352}}$ & $\mathbf{2^{-384}}$ & $\mathbf{2^{-416}}$\\ +80 & 103 & 119 & 135 & 151 & 167 & 183 & 199 \\ +96 & 101 & 117 & 133 & 149 & 165 & 181 & 197 \\ +128 & 96 & 112 & 128 & 144 & 160 & 176 & 192 \\ +160 & 91 & 107 & 123 & 139 & 155 & 171 & 187 \\ +192 & 85 & 101 & 117 & 133 & 149 & 165 & 181 \\ +256 & 75 & 91 & 107 & 123 & 139 & 155 & 171 \\ +384 & 54 & 70 & 86 & 102 & 118 & 134 & 150 \\ +512 & 36 & 49 & 65 & 81 & 97 & 113 & 129 \\ +768 & 22 & 29 & 37 & 47 & 58 & 70 & 86 \\ +1024 & 16 & 21 & 26 & 33 & 40 & 48 & 58 \\ +1536 & 10 & 13 & 17 & 21 & 25 & 30 & 35 \\ +2048 & 8 & 10 & 13 & 15 & 18 & 22 & 26 \\ +3072 & 5 & 7 & 8 & 10 & 12 & 14 & 17 \\ +4096 & 4 & 5 & 6 & 8 & 9 & 11 & 12 \\ +6144 & 3 & 4 & 4 & 5 & 6 & 7 & 8 \\ +8192 & 2 & 3 & 3 & 4 & 5 & 6 & 6 \\ +12288 & 2 & 2 & 2 & 3 & 3 & 4 & 4 \\ +16384 & 1 & 2 & 2 & 2 & 3 & 3 & 3 \\ +24576 & 1 & 1 & 2 & 2 & 2 & 2 & 2 \\ +32768 & 1 & 1 & 1 & 1 & 2 & 2 & 2 +\end{tabular} +\caption{ Number of Miller-Rabin rounds. Part II } \label{table:millerrabinrunsp2} +\end{center} +\end{table} + +Determining the probability needed to pick the right column is a bit harder. Fips 186.4, for example has $2^{-80}$ for $512$ bit large numbers, $2^{-112}$ for $1024$ bits, and $2^{128}$ for $1536$ bits. It can be seen in table \ref{table:millerrabinrunsp1} that those combinations follow the diagonal from $(512,2^{-80})$ downwards and to the right to gain a lower probabilty of getting a composite declared a pseudoprime for the same amount of work or less. + +If this version of the library has the strong Lucas-Selfridge and/or the Frobenius-Underwood test implemented only one or two rounds of the Miller-Rabin test with a random base is necesssary for numbers larger than or equal to $1024$ bits. + + +\section{Strong Lucas-Selfridge Test} +\index{mp\_prime\_strong\_lucas\_selfridge} +\begin{alltt} +int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result) +\end{alltt} +Performs a strong Lucas-Selfridge test. The strong Lucas-Selfridge test together with the Rabin-Miler test with bases $2$ and $3$ resemble the BPSW test. The single internal use is a compile-time option in \texttt{mp\_prime\_is\_prime} and can be excluded +from the Libtommath build if not needed. + +\section{Frobenius (Underwood) Test} +\index{mp\_prime\_frobenius\_underwood} +\begin{alltt} +int mp_prime_frobenius_underwood(const mp_int *N, int *result) +\end{alltt} +Performs the variant of the Frobenius test as described by Paul Underwood. The single internal use is in +\texttt{mp\_prime\_is\_prime} for \texttt{MP\_8BIT} only but can be included at build-time for all other sizes +if the preprocessor macro \texttt{LTM\_USE\_FROBENIUS\_TEST} is defined. + +It returns \texttt{MP\_ITER} if the number of iterations is exhausted, assumes a composite as the input and sets \texttt{result} accordingly. This will reduce the set of available pseudoprimes by a very small amount: test with large datasets (more than $10^{10}$ numbers, both randomly chosen and sequences of odd numbers with a random start point) found only 31 (thirty-one) numbers with $a > 120$ and none at all with just an additional simple check for divisors $d < 2^8$. + \section{Primality Testing} +Testing if a number is a square can be done a bit faster than just by calculating the square root. It is used by the primality testing function described below. +\index{mp\_is\_square} +\begin{alltt} +int mp_is_square(const mp_int *arg, int *ret); +\end{alltt} + + \index{mp\_prime\_is\_prime} \begin{alltt} int mp_prime_is_prime (mp_int * a, int t, int *result) \end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by -$1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). +This will perform a trial division followed by two rounds of Miller-Rabin with bases 2 and 3 and a Lucas-Selfridge test. The Lucas-Selfridge test is replaced with a Frobenius-Underwood for \texttt{MP\_8BIT}. The Frobenius-Underwood test for all other sizes is available as a compile-time option with the preprocessor macro \texttt{LTM\_USE\_FROBENIUS\_TEST}. See file +\texttt{bn\_mp\_prime\_is\_prime.c} for the necessary details. It shall be noted that both functions are much slower than +the Miller-Rabin test and if speed is an essential issue, the macro \texttt{LTM\_USE\_FIPS\_ONLY} switches both functions, the Frobenius-Underwood test and the Lucas-Selfridge test off and their code will not even be compiled into the library. + +If $t$ is set to a positive value $t$ additional rounds of the Miller-Rabin test with random bases will be performed to allow for Fips 186.4 (vid.~p.~126ff) compliance. The function \texttt{mp\_prime\_rabin\_miller\_trials} can be used to determine the number of rounds. It is vital that the function \texttt{mp\_rand()} has a cryptographically strong random number generator available. + +One Miller-Rabin tests with a random base will be run automatically, so by setting $t$ to a positive value this function will run $t + 1$ Miller-Rabin tests with random bases. + +If $t$ is set to a negative value the test will run the deterministic Miller-Rabin test for the primes up to +$3317044064679887385961981$. That limit has to be checked by the caller. If $-t > 13$ than $-t - 13$ additional rounds of the +Miller-Rabin test will be performed but note that $-t$ is bounded by $1 \le -t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number +of primes in the prime number table (by default this is $256$) and the first 13 primes have already been used. It will return +\texttt{MP\_VAL} in case of$-t > PRIME\_SIZE$. + +If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. \section{Next Prime} \index{mp\_prime\_next\_prime} \begin{alltt} int mp_prime_next_prime(mp_int *a, int t, int bbs_style) \end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you +This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests but see the documentation for +mp\_prime\_is\_prime for details regarding the use of the argument $t$. Set $bbs\_style$ to one if you want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. \section{Random Primes} @@ -1713,7 +1954,8 @@ int mp_prime_random(mp_int *a, int t, int size, int bbs, ltm_prime_callback cb, void *dat) \end{alltt} This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for +$t$ rounds of tests but see the documentation for mp\_prime\_is\_prime for details regarding the use of the argument $t$. +The ``ltm\_prime\_callback'' is a typedef for \begin{alltt} typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); @@ -1759,6 +2001,23 @@ mp\_prime\_random(). \label{fig:primeopts} \end{figure} +\chapter{Random Number Generation} +\section{PRNG} +\index{mp\_rand\_digit} +\begin{alltt} +int mp_rand_digit(mp_digit *r) +\end{alltt} +This function generates a random number in \texttt{r} of the size given in \texttt{r} (that is, the variable is used for in- and output) but not more than \texttt{MP\_MASK} bits. + +\index{mp\_rand} +\begin{alltt} +int mp_rand(mp_int *a, int digits) +\end{alltt} +This function generates a random number of \texttt{digits} bits. + +The random number generated with these two functions is cryptographically secure if the source of random numbers the operating systems offers is cryptographically secure. It will use \texttt{arc4random()} if the OS is a BSD flavor, Wincrypt on Windows, or \texttt{/dev/urandom} on all operating systems that have it. + + \chapter{Input and Output} \section{ASCII Conversions} \subsection{To ASCII} @@ -1770,6 +2029,13 @@ This still store $a$ in ``str'' as a base-``radix'' string of ASCII chars. This to terminate the string. Valid values of ``radix'' line in the range $[2, 64]$. To determine the size (exact) required by the conversion before storing any data use the following function. +\index{mp\_toradix\_n} +\begin{alltt} +int mp_toradix_n (mp_int * a, char *str, int radix, int maxlen); +\end{alltt} + +Like \texttt{mp\_toradix} but stores upto maxlen-1 chars and always a NULL byte. + \index{mp\_radix\_size} \begin{alltt} int mp_radix_size (mp_int * a, int radix, int *size) @@ -1777,6 +2043,13 @@ int mp_radix_size (mp_int * a, int radix, int *size) This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this function returns an error code and ``size'' will be zero. +If \texttt{LTM\_NO\_FILE} is not defined a function to write to a file is also available. +\index{mp\_fwrite} +\begin{alltt} +int mp_fwrite(const mp_int *a, int radix, FILE *stream); +\end{alltt} + + \subsection{From ASCII} \index{mp\_read\_radix} \begin{alltt} @@ -1786,6 +2059,13 @@ This will read the base-``radix'' NUL terminated string from ``str'' into $a$. character it does not recognize (which happens to include th NUL char... imagine that...). A single leading $-$ sign can be used to denote a negative number. +If \texttt{LTM\_NO\_FILE} is not defined a function to read from a file is also available. +\index{mp\_fread} +\begin{alltt} +int mp_fread(mp_int *a, int radix, FILE *stream); +\end{alltt} + + \section{Binary Conversions} Converting an mp\_int to and from binary is another keen idea. @@ -1804,6 +2084,13 @@ int mp_to_unsigned_bin(mp_int *a, unsigned char *b); This will store $a$ into the buffer $b$ in big--endian format. Fortunately this is exactly what DER (or is it ASN?) requires. It does not store the sign of the integer. +\index{mp\_to\_unsigned\_bin\_n} +\begin{alltt} +int mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) +\end{alltt} +Like \texttt{mp\_to\_unsigned\_bin} but checks if the value at \texttt{*outlen} is larger than or equal to the output of \texttt{mp\_unsigned\_bin\_size(a)} and sets \texttt{*outlen} to the output of \texttt{mp\_unsigned\_bin\_size(a)} or returns \texttt{MP\_VAL} if the test failed. + + \index{mp\_read\_unsigned\_bin} \begin{alltt} int mp_read_unsigned_bin(mp_int *a, unsigned char *b, int c); @@ -1813,7 +2100,7 @@ integer $a$ will always be positive. For those who acknowledge the existence of negative numbers (heretic!) there are ``signed'' versions of the previous functions. - +\index{mp\_signed\_bin\_size} \index{mp\_to\_signed\_bin} \index{mp\_read\_signed\_bin} \begin{alltt} int mp_signed_bin_size(mp_int *a); int mp_read_signed_bin(mp_int *a, unsigned char *b, int c); @@ -1823,6 +2110,13 @@ They operate essentially the same as the unsigned copies except they prefix the byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix is non--zero. +The two functions \texttt{mp\_import} and \texttt{mp\_export} implement the corresponding GMP functions as described at \url{http://gmplib.org/manual/Integer-Import-and-Export.html}. +\index{mp\_import} \index{mp\_export} +\begin{alltt} +int mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op); +int mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op); +\end{alltt} + \chapter{Algebraic Functions} \section{Extended Euclidean Algorithm} \index{mp\_exteuclid} @@ -1837,7 +2131,7 @@ This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that a \cdot U1 + b \cdot U2 = U3 \end{equation} -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. +Any of the U1/U2/U3 parameters can be set to \textbf{NULL} if they are not desired. \section{Greatest Common Divisor} \index{mp\_gcd} @@ -1863,6 +2157,14 @@ symbol. The result is stored in $c$ and can take on one of three values $\lbrac then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ and the result will be $1$ if $a$ is a quadratic residue modulo $p$. +\section{Kronecker Symbol} +\index{mp\_kronecker} +\begin{alltt} +int mp_kronecker (mp_int * a, mp_int * p, int *c) +\end{alltt} +Extension of the Jacoby symbol to all $\lbrace a, p \rbrace \in \mathbb{Z}$ . + + \section{Modular square root} \index{mp\_sqrtmod\_prime} \begin{alltt} @@ -1908,6 +2210,111 @@ These work like the full mp\_int capable variants except the second parameter $b functions fairly handy if you have to work with relatively small numbers since you will not have to allocate an entire mp\_int to store a number like $1$ or $2$. + +The division by three can be made faster by replacing the division with a multiplication by the multiplicative inverse of three. + +\index{mp\_div\_3} +\begin{alltt} +int mp_div_3(const mp_int *a, mp_int *c, mp_digit *d); +\end{alltt} + +\chapter{Little Helpers} +It is never wrong to have some useful little shortcuts at hand. +\section{Function Macros} +To make this overview simpler the macros are given as function prototypes. The return of logic macros is \texttt{MP\_NO} or \texttt{MP\_YES} respectively. + +\index{mp\_iseven} +\begin{alltt} +int mp_iseven(mp_int *a) +\end{alltt} +Checks if $a = 0 mod 2$ + +\index{mp\_isodd} +\begin{alltt} +int mp_isodd(mp_int *a) +\end{alltt} +Checks if $a = 1 mod 2$ + +\index{mp\_isneg} +\begin{alltt} +int mp_isneg(mp_int *a) +\end{alltt} +Checks if $a < 0$ + + +\index{mp\_iszero} +\begin{alltt} +int mp_iszero(mp_int *a) +\end{alltt} +Checks if $a = 0$. It does not check if the amount of memory allocated for $a$ is also minimal. + + +Other macros which are either shortcuts to normal functions or just other names for them do have their place in a programmer's life, too! + +\subsection{Renamings} +\index{mp\_mag\_size} +\begin{alltt} +#define mp_mag_size(mp) mp_unsigned_bin_size(mp) +\end{alltt} + + +\index{mp\_raw\_size} +\begin{alltt} +#define mp_raw_size(mp) mp_signed_bin_size(mp) +\end{alltt} + + +\index{mp\_read\_mag} +\begin{alltt} +#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) +\end{alltt} + + +\index{mp\_read\_raw} +\begin{alltt} + #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) +\end{alltt} + + +\index{mp\_tomag} +\begin{alltt} +#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) +\end{alltt} + + +\index{mp\_toraw} +\begin{alltt} +#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) +\end{alltt} + + + +\subsection{Shortcuts} + +\index{mp\_tobinary} +\begin{alltt} +#define mp_tobinary(M, S) mp_toradix((M), (S), 2) +\end{alltt} + + +\index{mp\_tooctal} +\begin{alltt} +#define mp_tooctal(M, S) mp_toradix((M), (S), 8) +\end{alltt} + + +\index{mp\_todecimal} +\begin{alltt} +#define mp_todecimal(M, S) mp_toradix((M), (S), 10) +\end{alltt} + + +\index{mp\_tohex} +\begin{alltt} +#define mp_tohex(M, S) mp_toradix((M), (S), 16) +\end{alltt} + + \input{bn.ind} \end{document} diff --git a/doc/booker.pl b/doc/booker.pl index 58f10d2..590e6ea 100644 --- a/doc/booker.pl +++ b/doc/booker.pl @@ -9,21 +9,28 @@ #This preprocessor will then open "file" and insert it as a verbatim copy. # #Tom St Denis +use strict; #get graphics type +my $graph; if (shift =~ /PDF/) { $graph = ""; } else { $graph = ".ps"; } -open(IN,"tommath.tex") or die "Can't open destination file"; +open(my $in, '<', 'tommath.src') or die "Can't open source file"; +open(my $out, '>', 'tommath.tex') or die "Can't open destination file"; print "Scanning for sections\n"; -$chapter = $section = $subsection = 0; -$x = 0; -while () { +my $chapter = 0; +my $section = 0; +my $subsection = 0; +my $x = 0; +my %index1; +my %index2; +my %index3; +while (<$in>) { print "."; if (!(++$x % 80)) { print "\n"; } #update the headings @@ -40,25 +47,29 @@ while () { } if ($_ =~ m/MARK/) { - @m = split(",",$_); - chomp(@m[1]); - $index1{@m[1]} = $chapter; - $index2{@m[1]} = $section; - $index3{@m[1]} = $subsection; + my @m = split ',', $_; + chomp $m[1]; + $index1{$m[1]} = $chapter; + $index2{$m[1]} = $section; + $index3{$m[1]} = $subsection; } } -close(IN); +close $in; -open(IN,") { +while (<$in>) { ++$readline; ++$srcline; if ($_ =~ m/MARK/) { } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { + my $skipheader; if ($_ =~ m/EXAM/) { $skipheader = 1; } else { @@ -67,31 +78,50 @@ while () { # EXAM,file chomp($_); - @m = split(",",$_); - open(SRC,"<../$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; + my @m = split ',', $_; + open(my $src, '<', "../$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; print "$srcline:Inserting $m[1]:"; - $line = 0; - $tmp = $m[1]; + my $line = 0; + my $tmp = $m[1]; + my $fun = $tmp; $tmp =~ s/_/"\\_"/ge; - print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; + $fun =~ s/^bn_//; + $fun =~ s/\.c$//; + $fun =~ s/_/"\\_"/ge; + print {$out} "\\index{$fun}\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; $wroteline += 5; if ($skipheader == 1) { # scan till next end of comment, e.g. skip license - while () { + while (<$src>) { + if ($_ =~ /#ifdef BN/) { + printf {$out} ("%03d ", $line); + for ($x = 0; $x < length($_); $x++) { + print {$out} chr(vec($_, $x, 8)); + if ($x == 75) { + print {$out} "\n "; + ++$wroteline; + } + } + print {$out} "...\n"; + ++$wroteline; + } $text[$line++] = $_; last if ($_ =~ /libtom\.org/); } - ; + <$src>; + $text[$line++] = $_; + <$src>; + $text[$line++] = $_; } - $inline = 0; - while () { - next if ($_ =~ /\$Source/); - next if ($_ =~ /\$Revision/); - next if ($_ =~ /\$Date/); + my $inline = 0; + while (<$src>) { + next if ($_ =~ /ref/); + next if ($_ =~ /git commit/); + next if ($_ =~ /commit time/); $text[$line++] = $_; ++$inline; chomp($_); @@ -101,34 +131,38 @@ while () { $_ =~ s/\\/'\symbol{92}'/ge; $_ =~ s/\^/"\\"/ge; - printf OUT ("%03d ", $line); + printf {$out} ("%03d ", $line); for ($x = 0; $x < length($_); $x++) { - print OUT chr(vec($_, $x, 8)); + print {$out} chr(vec($_, $x, 8)); if ($x == 75) { - print OUT "\n "; + print {$out} "\n "; ++$wroteline; } } - print OUT "\n"; + print {$out} "\n"; ++$wroteline; } $totlines = $line; - print OUT "\\end{alltt}\n\\end{small}\n"; - close(SRC); + print {$out} "\\end{alltt}\n\\end{small}\n"; + close $src; print "$inline lines\n"; $wroteline += 2; } elsif ($_ =~ m/@\d+,.+@/) { # line contains [number,text] # e.g. @14,for (ix = 0)@ - $txt = $_; + my $txt = $_; while ($txt =~ m/@\d+,.+@/) { - @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements + my @m = split '@', $txt; # splits into text, one, two + my @parms = split ',', $m[1]; # splits one,two into two elements # now search from $parms[0] down for $parms[1] - $found1 = 0; - $found2 = 0; - for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { + my $found; + my $found1 = 0; + my $found2 = 0; + my $foundline; + my $foundline1; + my $foundline2; + for (my $i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { if ($text[$i] =~ m/\Q$parms[1]\E/) { $foundline1 = $i + 1; $found1 = 1; @@ -136,7 +170,7 @@ while () { } # now search backwards - for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { + for (my $i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { if ($text[$i] =~ m/\Q$parms[1]\E/) { $foundline2 = $i + 1; $found2 = 1; @@ -163,7 +197,7 @@ while () { # if found replace if ($found == 1) { - $delta = $parms[0] - $foundline; + my $delta = $parms[0] - $foundline; print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; $_ =~ s/@\Q$m[1]\E@/$foundline/; } else { @@ -171,32 +205,31 @@ while () { } # remake the rest of the line - $cnt = @m; $txt = ""; - for ($i = 2; $i < $cnt; $i++) { + for (my $i = 2; $i < scalar(@m); $i++) { $txt = $txt . $m[$i] . "@"; } } - print OUT $_; + print {$out} $_; ++$wroteline; } elsif ($_ =~ /~.+~/) { # line contains a ~text~ pair used to refer to indexing :-) - $txt = $_; + my $txt = $_; while ($txt =~ /~.+~/) { - @m = split("~", $txt); + my @m = split '~', $txt; # word is the second position - $word = @m[1]; - $a = $index1{$word}; - $b = $index2{$word}; - $c = $index3{$word}; + my $word = $m[1]; + my $a = $index1{$word}; + my $b = $index2{$word}; + my $c = $index3{$word}; # if chapter (a) is zero it wasn't found if ($a == 0) { print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; } else { # format the tag as x, x.y or x.y.z depending on the values - $str = $a; + my $str = $a; $str = $str . ".$b" if ($b != 0); $str = $str . ".$c" if ($c != 0); @@ -239,29 +272,28 @@ while () { } # remake rest of the line - $cnt = @m; $txt = ""; - for ($i = 2; $i < $cnt; $i++) { + for (my $i = 2; $i < scalar(@m); $i++) { $txt = $txt . $m[$i] . "~"; } } - print OUT $_; + print {$out} $_; ++$wroteline; } elsif ($_ =~ m/FIGU/) { # FIGU,file,caption chomp($_); - @m = split(",", $_); - print OUT "\\begin{center}\n\\begin{figure}[h]\n\\includegraphics{pics/$m[1]$graph}\n"; - print OUT "\\caption{$m[2]}\n\\label{pic:$m[1]}\n\\end{figure}\n\\end{center}\n"; + my @m = split ',', $_; + print {$out} "\\begin{center}\n\\begin{figure}[h]\n\\includegraphics{pics/$m[1]$graph}\n"; + print {$out} "\\caption{$m[2]}\n\\label{pic:$m[1]}\n\\end{figure}\n\\end{center}\n"; $wroteline += 4; } else { - print OUT $_; + print {$out} $_; ++$wroteline; } } print "Read $readline lines, wrote $wroteline lines\n"; -close (OUT); -close (IN); +close $out; +close $in; system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/etc/2kprime.c b/etc/2kprime.c index 14da57e..bba3e62 100644 --- a/etc/2kprime.c +++ b/etc/2kprime.c @@ -2,82 +2,83 @@ #include #include -int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096}; +static int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096}; int main(void) { char buf[2000]; - int x, y; + size_t x; + int y; mp_int q, p; FILE *out; clock_t t1; mp_digit z; - - mp_init_multi(&q, &p, NULL); - - out = fopen("2kprime.1", "w"); - for (x = 0; x < (int)(sizeof(sizes) / sizeof(sizes[0])); x++) { - top: - mp_2expt(&q, sizes[x]); - mp_add_d(&q, 3, &q); - z = -3; - - t1 = clock(); - for(;;) { - mp_sub_d(&q, 4, &q); - z += 4; - if (z > MP_MASK) { - printf("No primes of size %d found\n", sizes[x]); + mp_init_multi(&q, &p, NULL); + + out = fopen("2kprime.1", "w"); + if (out != NULL) { + for (x = 0; x < (sizeof(sizes) / sizeof(sizes[0])); x++) { +top: + mp_2expt(&q, sizes[x]); + mp_add_d(&q, 3uL, &q); + z = -3; + + t1 = clock(); + for (;;) { + mp_sub_d(&q, 4uL, &q); + z += 4uL; + + if (z > MP_MASK) { + printf("No primes of size %d found\n", sizes[x]); + break; + } + + if ((clock() - t1) > CLOCKS_PER_SEC) { + printf("."); + fflush(stdout); + /* sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); */ + t1 = clock(); + } + + /* quick test on q */ + mp_prime_is_prime(&q, 1, &y); + if (y == 0) { + continue; + } + + /* find (q-1)/2 */ + mp_sub_d(&q, 1uL, &p); + mp_div_2(&p, &p); + mp_prime_is_prime(&p, 3, &y); + if (y == 0) { + continue; + } + + /* test on q */ + mp_prime_is_prime(&q, 3, &y); + if (y == 0) { + continue; + } + break; } - - if (clock() - t1 > CLOCKS_PER_SEC) { - printf("."); fflush(stdout); -// sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); - t1 = clock(); - } - - /* quick test on q */ - mp_prime_is_prime(&q, 1, &y); + if (y == 0) { - continue; + ++sizes[x]; + goto top; } - /* find (q-1)/2 */ - mp_sub_d(&q, 1, &p); - mp_div_2(&p, &p); - mp_prime_is_prime(&p, 3, &y); - if (y == 0) { - continue; - } - - /* test on q */ - mp_prime_is_prime(&q, 3, &y); - if (y == 0) { - continue; - } - - break; - } - - if (y == 0) { - ++sizes[x]; - goto top; - } - - mp_toradix(&q, buf, 10); - printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf); - fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf); fflush(out); + mp_toradix(&q, buf, 10); + printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf); + fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf); + fflush(out); + } + fclose(out); } - + return 0; -} - - - - - +} /* ref: $Format:%D$ */ /* git commit: $Format:%H$ */ diff --git a/etc/drprime.c b/etc/drprime.c index 29d89db..dd1d9d6 100644 --- a/etc/drprime.c +++ b/etc/drprime.c @@ -1,64 +1,70 @@ /* Makes safe primes of a DR nature */ #include -int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT }; +static int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT }; + int main(void) { int res, x, y; char buf[4096]; FILE *out; mp_int a, b; - + mp_init(&a); mp_init(&b); - + out = fopen("drprimes.txt", "w"); - for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { - top: - printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT); - mp_grow(&a, sizes[x]); - mp_zero(&a); - for (y = 1; y < sizes[x]; y++) { - a.dp[y] = MP_MASK; - } - - /* make a DR modulus */ - a.dp[0] = -1; - a.used = sizes[x]; - - /* now loop */ - res = 0; - for (;;) { - a.dp[0] += 4; - if (a.dp[0] >= MP_MASK) break; - mp_prime_is_prime(&a, 1, &res); - if (res == 0) continue; - printf("."); fflush(stdout); - mp_sub_d(&a, 1, &b); - mp_div_2(&b, &b); - mp_prime_is_prime(&b, 3, &res); - if (res == 0) continue; - mp_prime_is_prime(&a, 3, &res); - if (res == 1) break; - } - - if (res != 1) { - printf("Error not DR modulus\n"); sizes[x] += 1; goto top; - } else { - mp_toradix(&a, buf, 10); - printf("\n\np == %s\n\n", buf); - fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); fflush(out); - } + if (out != NULL) { + for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { +top: + printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT); + mp_grow(&a, sizes[x]); + mp_zero(&a); + for (y = 1; y < sizes[x]; y++) { + a.dp[y] = MP_MASK; + } + + /* make a DR modulus */ + a.dp[0] = -1; + a.used = sizes[x]; + + /* now loop */ + res = 0; + for (;;) { + a.dp[0] += 4uL; + if (a.dp[0] >= MP_MASK) break; + mp_prime_is_prime(&a, 1, &res); + if (res == 0) continue; + printf("."); + fflush(stdout); + mp_sub_d(&a, 1uL, &b); + mp_div_2(&b, &b); + mp_prime_is_prime(&b, 3, &res); + if (res == 0) continue; + mp_prime_is_prime(&a, 3, &res); + if (res == 1) break; + } + + if (res != 1) { + printf("Error not DR modulus\n"); + sizes[x] += 1; + goto top; + } else { + mp_toradix(&a, buf, 10); + printf("\n\np == %s\n\n", buf); + fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); + fflush(out); + } + } + fclose(out); } - fclose(out); - + mp_clear(&a); mp_clear(&b); - + return 0; } - /* ref: $Format:%D$ */ /* git commit: $Format:%H$ */ /* commit time: $Format:%ai$ */ diff --git a/etc/mersenne.c b/etc/mersenne.c index 432cec1..23420fd 100644 --- a/etc/mersenne.c +++ b/etc/mersenne.c @@ -1,142 +1,139 @@ -/* Finds Mersenne primes using the Lucas-Lehmer test +/* Finds Mersenne primes using the Lucas-Lehmer test * * Tom St Denis, tomstdenis@gmail.com */ #include #include -int -is_mersenne (long s, int *pp) +static int is_mersenne(long s, int *pp) { - mp_int n, u; - int res, k; - - *pp = 0; + mp_int n, u; + int res, k; - if ((res = mp_init (&n)) != MP_OKAY) { - return res; - } + *pp = 0; - if ((res = mp_init (&u)) != MP_OKAY) { - goto LBL_N; - } + if ((res = mp_init(&n)) != MP_OKAY) { + return res; + } - /* n = 2^s - 1 */ - if ((res = mp_2expt(&n, s)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { - goto LBL_MU; - } + if ((res = mp_init(&u)) != MP_OKAY) { + goto LBL_N; + } - /* set u=4 */ - mp_set (&u, 4); - - /* for k=1 to s-2 do */ - for (k = 1; k <= s - 2; k++) { - /* u = u^2 - 2 mod n */ - if ((res = mp_sqr (&u, &u)) != MP_OKAY) { + /* n = 2^s - 1 */ + if ((res = mp_2expt(&n, (int)s)) != MP_OKAY) { goto LBL_MU; - } - if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { + } + if ((res = mp_sub_d(&n, 1uL, &n)) != MP_OKAY) { goto LBL_MU; - } + } - /* make sure u is positive */ - while (u.sign == MP_NEG) { - if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { + /* set u=4 */ + mp_set(&u, 4uL); + + /* for k=1 to s-2 do */ + for (k = 1; k <= (s - 2); k++) { + /* u = u^2 - 2 mod n */ + if ((res = mp_sqr(&u, &u)) != MP_OKAY) { + goto LBL_MU; + } + if ((res = mp_sub_d(&u, 2uL, &u)) != MP_OKAY) { goto LBL_MU; } - } - /* reduce */ - if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { - goto LBL_MU; - } - } + /* make sure u is positive */ + while (u.sign == MP_NEG) { + if ((res = mp_add(&u, &n, &u)) != MP_OKAY) { + goto LBL_MU; + } + } - /* if u == 0 then its prime */ - if (mp_iszero (&u) == 1) { - mp_prime_is_prime(&n, 8, pp); - if (*pp != 1) printf("FAILURE\n"); - } + /* reduce */ + if ((res = mp_reduce_2k(&u, &n, 1uL)) != MP_OKAY) { + goto LBL_MU; + } + } - res = MP_OKAY; -LBL_MU:mp_clear (&u); -LBL_N:mp_clear (&n); - return res; + /* if u == 0 then its prime */ + if (mp_iszero(&u) == 1) { + mp_prime_is_prime(&n, 8, pp); + if (*pp != 1) printf("FAILURE\n"); + } + + res = MP_OKAY; +LBL_MU: + mp_clear(&u); +LBL_N: + mp_clear(&n); + return res; } /* square root of a long < 65536 */ -long -i_sqrt (long x) +static long i_sqrt(long x) { - long x1, x2; + long x1, x2; - x2 = 16; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); + x2 = 16; + do { + x1 = x2; + x2 = x1 - ((x1 * x1) - x) / (2 * x1); + } while (x1 != x2); - if (x1 * x1 > x) { - --x1; - } + if ((x1 * x1) > x) { + --x1; + } - return x1; + return x1; } /* is the long prime by brute force */ -int -isprime (long k) +static int isprime(long k) { - long y, z; + long y, z; - y = i_sqrt (k); - for (z = 2; z <= y; z++) { - if ((k % z) == 0) - return 0; - } - return 1; + y = i_sqrt(k); + for (z = 2; z <= y; z++) { + if ((k % z) == 0) + return 0; + } + return 1; } -int -main (void) +int main(void) { - int pp; - long k; - clock_t tt; + int pp; + long k; + clock_t tt; - k = 3; + k = 3; - for (;;) { - /* start time */ - tt = clock (); + for (;;) { + /* start time */ + tt = clock(); - /* test if 2^k - 1 is prime */ - if (is_mersenne (k, &pp) != MP_OKAY) { - printf ("Whoa error\n"); - return -1; - } + /* test if 2^k - 1 is prime */ + if (is_mersenne(k, &pp) != MP_OKAY) { + printf("Whoa error\n"); + return -1; + } - if (pp == 1) { - /* count time */ - tt = clock () - tt; + if (pp == 1) { + /* count time */ + tt = clock() - tt; - /* display if prime */ - printf ("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); - } + /* display if prime */ + printf("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); + } - /* goto next odd exponent */ - k += 2; - - /* but make sure its prime */ - while (isprime (k) == 0) { + /* goto next odd exponent */ k += 2; - } - } - return 0; + + /* but make sure its prime */ + while (isprime(k) == 0) { + k += 2; + } + } } /* ref: $Format:%D$ */ diff --git a/etc/mont.c b/etc/mont.c index ac14e06..eb1a714 100644 --- a/etc/mont.c +++ b/etc/mont.c @@ -1,50 +1,47 @@ /* tests the montgomery routines */ #include +#include int main(void) { mp_int modulus, R, p, pp; mp_digit mp; - long x, y; + int x, y; srand(time(NULL)); mp_init_multi(&modulus, &R, &p, &pp, NULL); /* loop through various sizes */ for (x = 4; x < 256; x++) { - printf("DIGITS == %3ld...", x); fflush(stdout); - - /* make up the odd modulus */ - mp_rand(&modulus, x); - modulus.dp[0] |= 1; - - /* now find the R value */ - mp_montgomery_calc_normalization(&R, &modulus); - mp_montgomery_setup(&modulus, &mp); - - /* now run through a bunch tests */ - for (y = 0; y < 1000; y++) { - mp_rand(&p, x/2); /* p = random */ - mp_mul(&p, &R, &pp); /* pp = R * p */ - mp_montgomery_reduce(&pp, &modulus, mp); - - /* should be equal to p */ - if (mp_cmp(&pp, &p) != MP_EQ) { - printf("FAILURE!\n"); - exit(-1); - } - } - printf("PASSED\n"); - } - - return 0; + printf("DIGITS == %3d...", x); + fflush(stdout); + + /* make up the odd modulus */ + mp_rand(&modulus, x); + modulus.dp[0] |= 1uL; + + /* now find the R value */ + mp_montgomery_calc_normalization(&R, &modulus); + mp_montgomery_setup(&modulus, &mp); + + /* now run through a bunch tests */ + for (y = 0; y < 1000; y++) { + mp_rand(&p, x/2); /* p = random */ + mp_mul(&p, &R, &pp); /* pp = R * p */ + mp_montgomery_reduce(&pp, &modulus, mp); + + /* should be equal to p */ + if (mp_cmp(&pp, &p) != MP_EQ) { + printf("FAILURE!\n"); + exit(-1); + } + } + printf("PASSED\n"); + } + + return 0; } - - - - - /* ref: $Format:%D$ */ /* git commit: $Format:%H$ */ /* commit time: $Format:%ai$ */ diff --git a/etc/pprime.c b/etc/pprime.c index 0313948..65a6792 100644 --- a/etc/pprime.c +++ b/etc/pprime.c @@ -7,392 +7,405 @@ #include #include "tommath.h" -int n_prime; -FILE *primes; +static int n_prime; +static FILE *primes; /* fast square root */ -static mp_digit -i_sqrt (mp_word x) +static mp_digit i_sqrt(mp_word x) { - mp_word x1, x2; + mp_word x1, x2; - x2 = x; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); + x2 = x; + do { + x1 = x2; + x2 = x1 - ((x1 * x1) - x) / (2u * x1); + } while (x1 != x2); - if (x1 * x1 > x) { - --x1; - } + if ((x1 * x1) > x) { + --x1; + } - return x1; + return x1; } /* generates a prime digit */ -static void gen_prime (void) +static void gen_prime(void) { - mp_digit r, x, y, next; - FILE *out; + mp_digit r, x, y, next; + FILE *out; - out = fopen("pprime.dat", "wb"); + out = fopen("pprime.dat", "wb"); + if (out != NULL) { - /* write first set of primes */ - r = 3; fwrite(&r, 1, sizeof(mp_digit), out); - r = 5; fwrite(&r, 1, sizeof(mp_digit), out); - r = 7; fwrite(&r, 1, sizeof(mp_digit), out); - r = 11; fwrite(&r, 1, sizeof(mp_digit), out); - r = 13; fwrite(&r, 1, sizeof(mp_digit), out); - r = 17; fwrite(&r, 1, sizeof(mp_digit), out); - r = 19; fwrite(&r, 1, sizeof(mp_digit), out); - r = 23; fwrite(&r, 1, sizeof(mp_digit), out); - r = 29; fwrite(&r, 1, sizeof(mp_digit), out); - r = 31; fwrite(&r, 1, sizeof(mp_digit), out); + /* write first set of primes */ + /* *INDENT-OFF* */ + r = 3uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 5uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 7uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 11uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 13uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 17uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 19uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 23uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 29uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + r = 31uL; fwrite(&r, 1uL, sizeof(mp_digit), out); + /* *INDENT-ON* */ - /* get square root, since if 'r' is composite its factors must be < than this */ - y = i_sqrt (r); - next = (y + 1) * (y + 1); + /* get square root, since if 'r' is composite its factors must be < than this */ + y = i_sqrt(r); + next = (y + 1uL) * (y + 1uL); - for (;;) { - do { - r += 2; /* next candidate */ - r &= MP_MASK; - if (r < 31) break; + for (;;) { + do { + r += 2uL; /* next candidate */ + r &= MP_MASK; + if (r < 31uL) break; - /* update sqrt ? */ - if (next <= r) { - ++y; - next = (y + 1) * (y + 1); - } + /* update sqrt ? */ + if (next <= r) { + ++y; + next = (y + 1uL) * (y + 1uL); + } - /* loop if divisible by 3,5,7,11,13,17,19,23,29 */ - if ((r % 3) == 0) { - x = 0; - continue; - } - if ((r % 5) == 0) { - x = 0; - continue; - } - if ((r % 7) == 0) { - x = 0; - continue; - } - if ((r % 11) == 0) { - x = 0; - continue; - } - if ((r % 13) == 0) { - x = 0; - continue; - } - if ((r % 17) == 0) { - x = 0; - continue; - } - if ((r % 19) == 0) { - x = 0; - continue; - } - if ((r % 23) == 0) { - x = 0; - continue; - } - if ((r % 29) == 0) { - x = 0; - continue; - } + /* loop if divisible by 3,5,7,11,13,17,19,23,29 */ + if ((r % 3uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 5uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 7uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 11uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 13uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 17uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 19uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 23uL) == 0uL) { + x = 0uL; + continue; + } + if ((r % 29uL) == 0uL) { + x = 0uL; + continue; + } - /* now check if r is divisible by x + k={1,7,11,13,17,19,23,29} */ - for (x = 30; x <= y; x += 30) { - if ((r % (x + 1)) == 0) { - x = 0; - break; + /* now check if r is divisible by x + k={1,7,11,13,17,19,23,29} */ + for (x = 30uL; x <= y; x += 30uL) { + if ((r % (x + 1uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 7uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 11uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 13uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 17uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 19uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 23uL)) == 0uL) { + x = 0uL; + break; + } + if ((r % (x + 29uL)) == 0uL) { + x = 0uL; + break; + } + } + } while (x == 0uL); + if (r > 31uL) { + fwrite(&r, 1uL, sizeof(mp_digit), out); + printf("%9lu\r", r); + fflush(stdout); + } + if (r < 31uL) break; } - if ((r % (x + 7)) == 0) { - x = 0; - break; - } - if ((r % (x + 11)) == 0) { - x = 0; - break; - } - if ((r % (x + 13)) == 0) { - x = 0; - break; - } - if ((r % (x + 17)) == 0) { - x = 0; - break; - } - if ((r % (x + 19)) == 0) { - x = 0; - break; - } - if ((r % (x + 23)) == 0) { - x = 0; - break; - } - if ((r % (x + 29)) == 0) { - x = 0; - break; - } - } - } while (x == 0); - if (r > 31) { fwrite(&r, 1, sizeof(mp_digit), out); printf("%9d\r", r); fflush(stdout); } - if (r < 31) break; - } - fclose(out); + fclose(out); + } } -void load_tab(void) +static void load_tab(void) { primes = fopen("pprime.dat", "rb"); if (primes == NULL) { gen_prime(); primes = fopen("pprime.dat", "rb"); } - fseek(primes, 0, SEEK_END); + fseek(primes, 0L, SEEK_END); n_prime = ftell(primes) / sizeof(mp_digit); } -mp_digit prime_digit(void) +static mp_digit prime_digit(void) { int n; mp_digit d; n = abs(rand()) % n_prime; fseek(primes, n * sizeof(mp_digit), SEEK_SET); - fread(&d, 1, sizeof(mp_digit), primes); + fread(&d, 1uL, sizeof(mp_digit), primes); return d; } /* makes a prime of at least k bits */ -int -pprime (int k, int li, mp_int * p, mp_int * q) +static int pprime(int k, int li, mp_int *p, mp_int *q) { - mp_int a, b, c, n, x, y, z, v; - int res, ii; - static const mp_digit bases[] = { 2, 3, 5, 7, 11, 13, 17, 19 }; + mp_int a, b, c, n, x, y, z, v; + int res, ii; + static const mp_digit bases[] = { 2, 3, 5, 7, 11, 13, 17, 19 }; - /* single digit ? */ - if (k <= (int) DIGIT_BIT) { - mp_set (p, prime_digit ()); - return MP_OKAY; - } + /* single digit ? */ + if (k <= (int) DIGIT_BIT) { + mp_set(p, prime_digit()); + return MP_OKAY; + } - if ((res = mp_init (&c)) != MP_OKAY) { - return res; - } + if ((res = mp_init(&c)) != MP_OKAY) { + return res; + } - if ((res = mp_init (&v)) != MP_OKAY) { - goto LBL_C; - } + if ((res = mp_init(&v)) != MP_OKAY) { + goto LBL_C; + } - /* product of first 50 primes */ - if ((res = - mp_read_radix (&v, - "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", - 10)) != MP_OKAY) { - goto LBL_V; - } + /* product of first 50 primes */ + if ((res = + mp_read_radix(&v, + "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", + 10)) != MP_OKAY) { + goto LBL_V; + } - if ((res = mp_init (&a)) != MP_OKAY) { - goto LBL_V; - } + if ((res = mp_init(&a)) != MP_OKAY) { + goto LBL_V; + } - /* set the prime */ - mp_set (&a, prime_digit ()); + /* set the prime */ + mp_set(&a, prime_digit()); - if ((res = mp_init (&b)) != MP_OKAY) { - goto LBL_A; - } + if ((res = mp_init(&b)) != MP_OKAY) { + goto LBL_A; + } - if ((res = mp_init (&n)) != MP_OKAY) { - goto LBL_B; - } + if ((res = mp_init(&n)) != MP_OKAY) { + goto LBL_B; + } - if ((res = mp_init (&x)) != MP_OKAY) { - goto LBL_N; - } + if ((res = mp_init(&x)) != MP_OKAY) { + goto LBL_N; + } - if ((res = mp_init (&y)) != MP_OKAY) { - goto LBL_X; - } + if ((res = mp_init(&y)) != MP_OKAY) { + goto LBL_X; + } - if ((res = mp_init (&z)) != MP_OKAY) { - goto LBL_Y; - } + if ((res = mp_init(&z)) != MP_OKAY) { + goto LBL_Y; + } - /* now loop making the single digit */ - while (mp_count_bits (&a) < k) { - fprintf (stderr, "prime has %4d bits left\r", k - mp_count_bits (&a)); - fflush (stderr); - top: - mp_set (&b, prime_digit ()); + /* now loop making the single digit */ + while (mp_count_bits(&a) < k) { + fprintf(stderr, "prime has %4d bits left\r", k - mp_count_bits(&a)); + fflush(stderr); +top: + mp_set(&b, prime_digit()); - /* now compute z = a * b * 2 */ - if ((res = mp_mul (&a, &b, &z)) != MP_OKAY) { /* z = a * b */ - goto LBL_Z; - } - - if ((res = mp_copy (&z, &c)) != MP_OKAY) { /* c = a * b */ - goto LBL_Z; - } - - if ((res = mp_mul_2 (&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ - goto LBL_Z; - } - - /* n = z + 1 */ - if ((res = mp_add_d (&z, 1, &n)) != MP_OKAY) { /* n = z + 1 */ - goto LBL_Z; - } - - /* check (n, v) == 1 */ - if ((res = mp_gcd (&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) != MP_EQ) - goto top; - - /* now try base x=bases[ii] */ - for (ii = 0; ii < li; ii++) { - mp_set (&x, bases[ii]); - - /* compute x^a mod n */ - if ((res = mp_exptmod (&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ - goto LBL_Z; + /* now compute z = a * b * 2 */ + if ((res = mp_mul(&a, &b, &z)) != MP_OKAY) { /* z = a * b */ + goto LBL_Z; } - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2a mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ - goto LBL_Z; + if ((res = mp_copy(&z, &c)) != MP_OKAY) { /* c = a * b */ + goto LBL_Z; } - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^b mod n */ - if ((res = mp_exptmod (&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ - goto LBL_Z; + if ((res = mp_mul_2(&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ + goto LBL_Z; } - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2b mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ - goto LBL_Z; + /* n = z + 1 */ + if ((res = mp_add_d(&z, 1uL, &n)) != MP_OKAY) { /* n = z + 1 */ + goto LBL_Z; } - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^c mod n == x^ab mod n */ - if ((res = mp_exptmod (&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ - goto LBL_Z; + /* check (n, v) == 1 */ + if ((res = mp_gcd(&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ + goto LBL_Z; } - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; + if (mp_cmp_d(&y, 1uL) != MP_EQ) + goto top; - /* now compute (x^c mod n)^2 */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ - goto LBL_Z; + /* now try base x=bases[ii] */ + for (ii = 0; ii < li; ii++) { + mp_set(&x, bases[ii]); + + /* compute x^a mod n */ + if ((res = mp_exptmod(&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ + goto LBL_Z; + } + + /* if y == 1 loop */ + if (mp_cmp_d(&y, 1uL) == MP_EQ) + continue; + + /* now x^2a mod n */ + if ((res = mp_sqrmod(&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ + goto LBL_Z; + } + + if (mp_cmp_d(&y, 1uL) == MP_EQ) + continue; + + /* compute x^b mod n */ + if ((res = mp_exptmod(&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ + goto LBL_Z; + } + + /* if y == 1 loop */ + if (mp_cmp_d(&y, 1uL) == MP_EQ) + continue; + + /* now x^2b mod n */ + if ((res = mp_sqrmod(&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ + goto LBL_Z; + } + + if (mp_cmp_d(&y, 1uL) == MP_EQ) + continue; + + /* compute x^c mod n == x^ab mod n */ + if ((res = mp_exptmod(&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ + goto LBL_Z; + } + + /* if y == 1 loop */ + if (mp_cmp_d(&y, 1uL) == MP_EQ) + continue; + + /* now compute (x^c mod n)^2 */ + if ((res = mp_sqrmod(&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ + goto LBL_Z; + } + + /* y should be 1 */ + if (mp_cmp_d(&y, 1uL) != MP_EQ) + continue; + break; } - /* y should be 1 */ - if (mp_cmp_d (&y, 1) != MP_EQ) - continue; - break; - } + /* no bases worked? */ + if (ii == li) + goto top; - /* no bases worked? */ - if (ii == li) - goto top; + { + char buf[4096]; -{ - char buf[4096]; + mp_toradix(&n, buf, 10); + printf("Certificate of primality for:\n%s\n\n", buf); + mp_toradix(&a, buf, 10); + printf("A == \n%s\n\n", buf); + mp_toradix(&b, buf, 10); + printf("B == \n%s\n\nG == %lu\n", buf, bases[ii]); + printf("----------------------------------------------------------------\n"); + } - mp_toradix(&n, buf, 10); - printf("Certificate of primality for:\n%s\n\n", buf); - mp_toradix(&a, buf, 10); - printf("A == \n%s\n\n", buf); - mp_toradix(&b, buf, 10); - printf("B == \n%s\n\nG == %d\n", buf, bases[ii]); - printf("----------------------------------------------------------------\n"); -} + /* a = n */ + mp_copy(&n, &a); + } - /* a = n */ - mp_copy (&n, &a); - } + /* get q to be the order of the large prime subgroup */ + mp_sub_d(&n, 1uL, q); + mp_div_2(q, q); + mp_div(q, &b, q, NULL); - /* get q to be the order of the large prime subgroup */ - mp_sub_d (&n, 1, q); - mp_div_2 (q, q); - mp_div (q, &b, q, NULL); + mp_exch(&n, p); - mp_exch (&n, p); - - res = MP_OKAY; -LBL_Z:mp_clear (&z); -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_N:mp_clear (&n); -LBL_B:mp_clear (&b); -LBL_A:mp_clear (&a); -LBL_V:mp_clear (&v); -LBL_C:mp_clear (&c); - return res; + res = MP_OKAY; +LBL_Z: + mp_clear(&z); +LBL_Y: + mp_clear(&y); +LBL_X: + mp_clear(&x); +LBL_N: + mp_clear(&n); +LBL_B: + mp_clear(&b); +LBL_A: + mp_clear(&a); +LBL_V: + mp_clear(&v); +LBL_C: + mp_clear(&c); + return res; } -int -main (void) +int main(void) { - mp_int p, q; - char buf[4096]; - int k, li; - clock_t t1; + mp_int p, q; + char buf[4096]; + int k, li; + clock_t t1; - srand (time (NULL)); - load_tab(); + srand(time(NULL)); + load_tab(); - printf ("Enter # of bits: \n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &k); + printf("Enter # of bits: \n"); + fgets(buf, sizeof(buf), stdin); + sscanf(buf, "%d", &k); - printf ("Enter number of bases to try (1 to 8):\n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &li); + printf("Enter number of bases to try (1 to 8):\n"); + fgets(buf, sizeof(buf), stdin); + sscanf(buf, "%d", &li); - mp_init (&p); - mp_init (&q); + mp_init(&p); + mp_init(&q); - t1 = clock (); - pprime (k, li, &p, &q); - t1 = clock () - t1; + t1 = clock(); + pprime(k, li, &p, &q); + t1 = clock() - t1; - printf ("\n\nTook %ld ticks, %d bits\n", t1, mp_count_bits (&p)); + printf("\n\nTook %ld ticks, %d bits\n", t1, mp_count_bits(&p)); - mp_toradix (&p, buf, 10); - printf ("P == %s\n", buf); - mp_toradix (&q, buf, 10); - printf ("Q == %s\n", buf); + mp_toradix(&p, buf, 10); + printf("P == %s\n", buf); + mp_toradix(&q, buf, 10); + printf("Q == %s\n", buf); - return 0; + return 0; } /* ref: $Format:%D$ */ diff --git a/etc/tune.c b/etc/tune.c index a3f1c47..a512a4e 100644 --- a/etc/tune.c +++ b/etc/tune.c @@ -3,7 +3,6 @@ * Tom St Denis, tstdenis82@gmail.com */ #include -#include #include /* how many times todo each size mult. Depends on your computer. For slow computers @@ -14,131 +13,132 @@ #ifndef X86_TIMER /* RDTSC from Scott Duplichan */ -static uint64_t TIMFUNC (void) - { - #if defined __GNUC__ - #if defined(__i386__) || defined(__x86_64__) - /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html - * the old code always got a warning issued by gcc, clang did not complain... - */ - unsigned hi, lo; - __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); - return ((uint64_t)lo)|( ((uint64_t)hi)<<32); - #else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - while (__builtin_expect ((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - return result; - #endif +static uint64_t TIMFUNC(void) +{ +# if defined __GNUC__ +# if defined(__i386__) || defined(__x86_64__) + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__("rdtsc" : "=a"(lo), "=d"(hi)); + return ((uint64_t)lo)|(((uint64_t)hi)<<32); +# else /* gcc-IA64 version */ + unsigned long result; + __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); + while (__builtin_expect((int) result == -1, 0)) + __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); + return result; +# endif - // Microsoft and Intel Windows compilers - #elif defined _M_IX86 - __asm rdtsc - #elif defined _M_AMD64 - return __rdtsc (); - #elif defined _M_IA64 - #if defined __INTEL_COMPILER - #include - #endif - return __getReg (3116); - #else - #error need rdtsc function for this build - #endif - } + /* Microsoft and Intel Windows compilers */ +# elif defined _M_IX86 + __asm rdtsc +# elif defined _M_AMD64 + return __rdtsc(); +# elif defined _M_IA64 +# if defined __INTEL_COMPILER +# include +# endif + return __getReg(3116); +# else +# error need rdtsc function for this build +# endif +} +/* *INDENT-OFF* */ /* generic ISO C timer */ -uint64_t LBL_T; -void t_start(void) { LBL_T = TIMFUNC(); } -uint64_t t_read(void) { return TIMFUNC() - LBL_T; } +static uint64_t LBL_T; +static void t_start(void) { LBL_T = TIMFUNC(); } +static uint64_t t_read(void) { return TIMFUNC() - LBL_T; } +/* *INDENT-ON* */ #else extern void t_start(void); extern uint64_t t_read(void); #endif -uint64_t time_mult(int size, int s) +static uint64_t time_mult(int size, int s) { - unsigned long x; - mp_int a, b, c; - uint64_t t1; + unsigned long x; + mp_int a, b, c; + uint64_t t1; - mp_init (&a); - mp_init (&b); - mp_init (&c); + mp_init(&a); + mp_init(&b); + mp_init(&c); - mp_rand (&a, size); - mp_rand (&b, size); + mp_rand(&a, size); + mp_rand(&b, size); - if (s == 1) { + if (s == 1) { KARATSUBA_MUL_CUTOFF = size; - } else { + } else { KARATSUBA_MUL_CUTOFF = 100000; - } + } - t_start(); - for (x = 0; x < TIMES; x++) { + t_start(); + for (x = 0; x < TIMES; x++) { mp_mul(&a,&b,&c); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - mp_clear (&c); - return t1; + } + t1 = t_read(); + mp_clear(&a); + mp_clear(&b); + mp_clear(&c); + return t1; } -uint64_t time_sqr(int size, int s) +static uint64_t time_sqr(int size, int s) { - unsigned long x; - mp_int a, b; - uint64_t t1; + unsigned long x; + mp_int a, b; + uint64_t t1; - mp_init (&a); - mp_init (&b); + mp_init(&a); + mp_init(&b); - mp_rand (&a, size); + mp_rand(&a, size); - if (s == 1) { + if (s == 1) { KARATSUBA_SQR_CUTOFF = size; - } else { + } else { KARATSUBA_SQR_CUTOFF = 100000; - } + } - t_start(); - for (x = 0; x < TIMES; x++) { + t_start(); + for (x = 0; x < TIMES; x++) { mp_sqr(&a,&b); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - return t1; + } + t1 = t_read(); + mp_clear(&a); + mp_clear(&b); + return t1; } -int -main (void) +int main(void) { - uint64_t t1, t2; - int x, y; + uint64_t t1, t2; + int x, y; - for (x = 8; ; x += 2) { - t1 = time_mult(x, 0); - t2 = time_mult(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - y = x; + for (x = 8; ; x += 2) { + t1 = time_mult(x, 0); + t2 = time_mult(x, 1); + printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); + if (t2 < t1) break; + } + y = x; - for (x = 8; ; x += 2) { - t1 = time_sqr(x, 0); - t2 = time_sqr(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - printf("KARATSUBA_MUL_CUTOFF = %d\n", y); - printf("KARATSUBA_SQR_CUTOFF = %d\n", x); + for (x = 8; ; x += 2) { + t1 = time_sqr(x, 0); + t2 = time_sqr(x, 1); + printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); + if (t2 < t1) break; + } + printf("KARATSUBA_MUL_CUTOFF = %d\n", y); + printf("KARATSUBA_SQR_CUTOFF = %d\n", x); - return 0; + return 0; } /* ref: $Format:%D$ */ diff --git a/filter.pl b/filter.pl deleted file mode 100755 index ad980e5..0000000 --- a/filter.pl +++ /dev/null @@ -1,34 +0,0 @@ -#!/usr/bin/perl - -# we want to filter every between START_INS and END_INS out and then insert crap from another file (this is fun) - -use strict; -use warnings; - -open(my $src, '<', shift); -open(my $ins, '<', shift); -open(my $tmp, '>', 'tmp.delme'); - -my $l = 0; -while (<$src>) { - if ($_ =~ /START_INS/) { - print {$tmp} $_; - $l = 1; - while (<$ins>) { - print {$tmp} $_; - } - close $ins; - } elsif ($_ =~ /END_INS/) { - print {$tmp} $_; - $l = 0; - } elsif ($l == 0) { - print {$tmp} $_; - } -} - -close $tmp; -close $src; - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/genlist.sh b/genlist.sh deleted file mode 100755 index 22048cc..0000000 --- a/genlist.sh +++ /dev/null @@ -1,8 +0,0 @@ -#!/bin/bash - -export a=`find . -maxdepth 1 -type f -name '*.c' | sort | sed -e 'sE\./EE' | sed -e 's/\.c/\.o/' | xargs` -perl ./parsenames.pl OBJECTS "$a" - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/libtommath.dsp b/libtommath.dsp deleted file mode 100644 index 71ac243..0000000 --- a/libtommath.dsp +++ /dev/null @@ -1,572 +0,0 @@ -# Microsoft Developer Studio Project File - Name="libtommath" - Package Owner=<4> -# Microsoft Developer Studio Generated Build File, Format Version 6.00 -# ** DO NOT EDIT ** - -# TARGTYPE "Win32 (x86) Static Library" 0x0104 - -CFG=libtommath - Win32 Debug -!MESSAGE This is not a valid makefile. To build this project using NMAKE, -!MESSAGE use the Export Makefile command and run -!MESSAGE -!MESSAGE NMAKE /f "libtommath.mak". -!MESSAGE -!MESSAGE You can specify a configuration when running NMAKE -!MESSAGE by defining the macro CFG on the command line. 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BASE RSC /l 0x409 /d "NDEBUG" -# ADD RSC /l 0x409 /d "NDEBUG" -BSC32=bscmake.exe -# ADD BASE BSC32 /nologo -# ADD BSC32 /nologo -LIB32=link.exe -lib -# ADD BASE LIB32 /nologo -# ADD LIB32 /nologo /out:"Release\tommath.lib" - -!ELSEIF "$(CFG)" == "libtommath - Win32 Debug" - -# PROP BASE Use_MFC 0 -# PROP BASE Use_Debug_Libraries 1 -# PROP BASE Output_Dir "Debug" -# PROP BASE Intermediate_Dir "Debug" -# PROP BASE Target_Dir "" -# PROP Use_MFC 0 -# PROP Use_Debug_Libraries 1 -# PROP Output_Dir "Debug" -# PROP Intermediate_Dir "Debug" -# PROP Target_Dir "" -# ADD BASE CPP /nologo /W3 /Gm /GX /ZI /Od /D "WIN32" /D "_DEBUG" /D "_MBCS" /D "_LIB" /YX /FD /GZ /c -# ADD CPP /nologo /W3 /Gm /GX /ZI /Od /I "." /D "WIN32" /D "_DEBUG" /D "_MBCS" /D "_LIB" /YX /FD /GZ /c -# ADD BASE RSC /l 0x409 /d "_DEBUG" -# ADD RSC /l 0x409 /d "_DEBUG" -BSC32=bscmake.exe -# ADD BASE BSC32 /nologo -# ADD BSC32 /nologo -LIB32=link.exe -lib -# ADD BASE LIB32 /nologo -# ADD LIB32 /nologo /out:"Debug\tommath.lib" - 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"libtommath", "libtommath_VS2005.vcproj", "{0272C9B2-D68B-4F24-B32D-C1FD552F7E51}" -EndProject -Global - GlobalSection(SolutionConfigurationPlatforms) = preSolution - Debug|Win32 = Debug|Win32 - Release|Win32 = Release|Win32 - EndGlobalSection - GlobalSection(ProjectConfigurationPlatforms) = postSolution - {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.ActiveCfg = Debug|Win32 - {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.Build.0 = Debug|Win32 - {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.ActiveCfg = Release|Win32 - {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.Build.0 = Release|Win32 - EndGlobalSection - GlobalSection(SolutionProperties) = preSolution - HideSolutionNode = FALSE - EndGlobalSection -EndGlobal diff --git a/libtommath_VS2005.vcproj b/libtommath_VS2005.vcproj deleted file mode 100644 index b977b4a..0000000 --- a/libtommath_VS2005.vcproj +++ /dev/null @@ -1,2847 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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a/libtommath_VS2008.sln b/libtommath_VS2008.sln index 1327ccf..6bfc159 100644 --- a/libtommath_VS2008.sln +++ b/libtommath_VS2008.sln @@ -1,20 +1,29 @@  Microsoft Visual Studio Solution File, Format Version 10.00 # Visual Studio 2008 -Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "libtommath", "libtommath_VS2008.vcproj", "{42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}" +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "tommath", "libtommath_VS2008.vcproj", "{42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}" EndProject Global GlobalSection(SolutionConfigurationPlatforms) = preSolution Debug|Win32 = Debug|Win32 + Debug|x64 = Debug|x64 Release|Win32 = Release|Win32 + Release|x64 = Release|x64 EndGlobalSection GlobalSection(ProjectConfigurationPlatforms) = postSolution {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.ActiveCfg = Debug|Win32 {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.Build.0 = Debug|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|x64.ActiveCfg = Debug|x64 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|x64.Build.0 = Debug|x64 {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.ActiveCfg = Release|Win32 {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.Build.0 = Release|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|x64.ActiveCfg = Release|x64 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|x64.Build.0 = Release|x64 EndGlobalSection GlobalSection(SolutionProperties) = preSolution HideSolutionNode = FALSE EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {83B84178-7B4F-4B78-9C5D-17B8201D5B61} + EndGlobalSection EndGlobal diff --git a/libtommath_VS2008.vcproj b/libtommath_VS2008.vcproj index 34bf2ae..5b2637b 100644 --- a/libtommath_VS2008.vcproj +++ b/libtommath_VS2008.vcproj @@ -2,28 +2,30 @@ + - @@ -44,17 +43,19 @@ Name="VCCLCompilerTool" Optimization="0" AdditionalIncludeDirectories="." - PreprocessorDefinitions="WIN32;_DEBUG;_LIB" + 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4320 146 + 4800 161 + 5280 182 + 5760 201 + 6240 201 + 6720 214 + 7200 228 + 7680 243 diff --git a/makefile b/makefile index a1df0ad..909892a 100644 --- a/makefile +++ b/makefile @@ -26,30 +26,32 @@ endif LCOV_ARGS=--directory . #START_INS -OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +OBJECTS=bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ -bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ -bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ -bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ -bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ -bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ -bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ -bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div.o \ +bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o \ +bn_mp_dr_setup.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o \ +bn_mp_exptmod_fast.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_bit.o \ +bn_mp_get_double.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o bn_mp_grow.o bn_mp_import.o \ +bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_set_int.o bn_mp_init_size.o \ +bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o bn_mp_jacobi.o bn_mp_karatsuba_mul.o \ +bn_mp_karatsuba_sqr.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \ +bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \ +bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \ +bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_divisible.o \ bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ -bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ -bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ -bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ -bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ -bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ -bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ -bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ -bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ -bn_s_mp_sqr.o bn_s_mp_sub.o +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_prime_strong_lucas_selfridge.o \ +bn_mp_radix_size.o bn_mp_radix_smap.o bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o \ +bn_mp_read_unsigned_bin.o bn_mp_reduce.o bn_mp_reduce_2k.o bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o \ +bn_mp_reduce_2k_setup_l.o bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o \ +bn_mp_set.o bn_mp_set_double.o bn_mp_set_int.o bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o \ +bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o \ +bn_mp_sub_d.o bn_mp_submod.o bn_mp_tc_and.o bn_mp_tc_div_2d.o bn_mp_tc_or.o bn_mp_tc_xor.o \ +bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o \ +bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o \ +bn_mp_zero.o bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o \ +bn_s_mp_mul_high_digs.o bn_s_mp_sqr.o bn_s_mp_sub.o bncore.o #END_INS @@ -67,17 +69,17 @@ $(LIBNAME): $(OBJECTS) # So far I've seen improvements in the MP math profiled: make CFLAGS="$(CFLAGS) -fprofile-arcs -DTESTING" timing - ./ltmtest - rm -f *.a *.o ltmtest + ./timing + rm -f *.a *.o timing make CFLAGS="$(CFLAGS) -fbranch-probabilities" #make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o ltmtest - ./ltmtest - rm -f *.o ltmtest + $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o timing + ./timing + rm -f *.o timing $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o ranlib $(LIBNAME) @@ -102,12 +104,8 @@ test_standalone: $(LIBNAME) demo/demo.o mtest: cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest -travis_mtest: test mtest - @ for i in `seq 1 10` ; do sleep 500 && echo alive; done & - ./mtest/mtest 666666 | ./test > test.log - -timing: $(LIBNAME) - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o ltmtest +timing: $(LIBNAME) demo/timing.c + $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o timing # You have to create a file .coveralls.yml with the content "repo_token: " # in the base folder to be able to submit to coveralls @@ -122,11 +120,12 @@ pretty: .PHONY: pre_gen pre_gen: + mkdir -p pre_gen perl gen.pl sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c rm mpi.c -zipup: clean pre_gen new_file manual poster docs +zipup: clean astyle new_file manual poster docs @# Update the index, so diff-index won't fail in case the pdf has been created. @# As the pdf creation modifies the tex files, git sometimes detects the @# modified files, but misses that it's put back to its original version. @@ -135,10 +134,15 @@ zipup: clean pre_gen new_file manual poster docs rm -rf libtommath-$(VERSION) ltm-$(VERSION).* @# files/dirs excluded from "git archive" are defined in .gitattributes git archive --format=tar --prefix=libtommath-$(VERSION)/ HEAD | tar x + @echo 'fixme check' + -@(find libtommath-$(VERSION)/ -type f | xargs grep 'FIXM[E]') && echo '############## BEWARE: the "fixme" marker was found !!! ##############' || true mkdir -p libtommath-$(VERSION)/doc cp doc/bn.pdf doc/tommath.pdf doc/poster.pdf libtommath-$(VERSION)/doc/ + $(MAKE) -C libtommath-$(VERSION)/ pre_gen tar -c libtommath-$(VERSION)/ | xz -6e -c - > ltm-$(VERSION).tar.xz zip -9rq ltm-$(VERSION).zip libtommath-$(VERSION) + cp doc/bn.pdf bn-$(VERSION).pdf + cp doc/tommath.pdf tommath-$(VERSION).pdf rm -rf libtommath-$(VERSION) gpg -b -a ltm-$(VERSION).tar.xz gpg -b -a ltm-$(VERSION).zip @@ -148,7 +152,7 @@ new_file: perl dep.pl perlcritic: - perlcritic *.pl + perlcritic *.pl doc/*.pl astyle: - astyle --options=astylerc $(OBJECTS:.o=.c) + astyle --options=astylerc $(OBJECTS:.o=.c) tommath*.h demo/*.c etc/*.c mtest/mtest.c diff --git a/makefile.bcc b/makefile.bcc deleted file mode 100644 index a0cfd74..0000000 --- a/makefile.bcc +++ /dev/null @@ -1,46 +0,0 @@ -# -# Borland C++Builder Makefile (makefile.bcc) -# - - -LIB = tlib -CC = bcc32 -CFLAGS = -c -O2 -I. - -#START_INS -OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ -bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ -bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ -bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ -bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ -bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ -bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ -bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ -bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ -bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ -bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ -bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ -bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ -bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ -bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ -bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ -bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ -bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ -bn_s_mp_sqr.obj bn_s_mp_sub.obj - -#END_INS - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -TARGET = libtommath.lib - -$(TARGET): $(OBJECTS) - -.c.obj: - $(CC) $(CFLAGS) $< - $(LIB) $(TARGET) -+$@ diff --git a/makefile.cygwin_dll b/makefile.cygwin_dll deleted file mode 100644 index 6feb5b4..0000000 --- a/makefile.cygwin_dll +++ /dev/null @@ -1,57 +0,0 @@ -#Makefile for Cygwin-GCC -# -#This makefile will build a Windows DLL [doesn't require cygwin to run] in the file -#libtommath.dll. The import library is in libtommath.dll.a. Remember to add -#"-Wl,--enable-auto-import" to your client build to avoid the auto-import warnings -# -#Tom St Denis -CFLAGS += -I./ -Wall -W -Wshadow -O3 -funroll-loops -mno-cygwin - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -default: windll - -#START_INS -OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ -bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ -bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ -bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ -bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ -bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ -bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ -bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ -bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ -bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ -bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ -bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ -bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ -bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ -bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ -bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ -bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ -bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ -bn_s_mp_sqr.o bn_s_mp_sub.o - -#END_INS - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -# make a Windows DLL via Cygwin -windll: $(OBJECTS) - gcc -mno-cygwin -mdll -o libtommath.dll -Wl,--out-implib=libtommath.dll.a -Wl,--export-all-symbols *.o - ranlib libtommath.dll.a - -# build the test program using the windows DLL -test: $(OBJECTS) windll - gcc $(CFLAGS) demo/demo.c libtommath.dll.a -Wl,--enable-auto-import -o test -s - cd mtest ; $(CC) -O3 -fomit-frame-pointer -funroll-loops mtest.c -o mtest -s - -/* $Source: /cvs/libtom/libtommath/makefile.cygwin_dll,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:45 $ */ diff --git a/makefile.icc b/makefile.icc deleted file mode 100644 index 1563802..0000000 --- a/makefile.icc +++ /dev/null @@ -1,117 +0,0 @@ -#Makefile for ICC -# -#Tom St Denis -CC=icc - -CFLAGS += -I./ - -# optimize for SPEED -# -# -mcpu= can be pentium, pentiumpro (covers PII through PIII) or pentium4 -# -ax? specifies make code specifically for ? but compatible with IA-32 -# -x? specifies compile solely for ? [not specifically IA-32 compatible] -# -# where ? is -# K - PIII -# W - first P4 [Williamette] -# N - P4 Northwood -# P - P4 Prescott -# B - Blend of P4 and PM [mobile] -# -# Default to just generic max opts -CFLAGS += -O3 -xP -ip - -#install as this user -USER=root -GROUP=root - -default: libtommath.a - -#default files to install -LIBNAME=libtommath.a - -#LIBPATH-The directory for libtomcrypt to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf - -#START_INS -OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ -bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ -bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ -bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ -bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ -bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ -bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ -bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ -bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ -bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ -bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ -bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ -bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ -bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ -bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ -bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ -bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ -bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ -bn_s_mp_sqr.o bn_s_mp_sub.o - -#END_INS - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -libtommath.a: $(OBJECTS) - $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) - ranlib libtommath.a - -#make a profiled library (takes a while!!!) -# -# This will build the library with profile generation -# then run the test demo and rebuild the library. -# -# So far I've seen improvements in the MP math -profiled: - make -f makefile.icc CFLAGS="$(CFLAGS) -prof_gen -DTESTING" timing - ./ltmtest - rm -f *.a *.o ltmtest - make -f makefile.icc CFLAGS="$(CFLAGS) -prof_use" - -#make a single object profiled library -profiled_single: - perl gen.pl - $(CC) $(CFLAGS) -prof_gen -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/demo.c mpi.o -o ltmtest - ./ltmtest - rm -f *.o ltmtest - $(CC) $(CFLAGS) -prof_use -ip -DTESTING -c mpi.c -o mpi.o - $(AR) $(ARFLAGS) libtommath.a mpi.o - ranlib libtommath.a - -install: libtommath.a - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) - -test: libtommath.a demo/demo.o - $(CC) demo/demo.o libtommath.a -o test - -mtest: test - cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - -timing: libtommath.a - $(CC) $(CFLAGS) -DTIMER demo/timing.c libtommath.a -o ltmtest - -clean: - rm -f *.bat *.pdf *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.il etc/*.il *.dyn - cd etc ; make clean - cd pics ; make clean diff --git a/makefile.msvc b/makefile.msvc index a47aadd..50db449 100644 --- a/makefile.msvc +++ b/makefile.msvc @@ -1,40 +1,90 @@ -#MSVC Makefile +# MAKEFILE for MS Windows (nmake + Windows SDK) # -#Tom St Denis +# BEWARE: variable OBJECTS is updated via ./updatemakes.sh -CFLAGS = /I. /Ox /DWIN32 /W3 /Fo$@ +### USAGE: +# Open a command prompt with WinSDK variables set and start: +# +# nmake -f makefile.msvc all +# test.exe +# nmake -f makefile.msvc PREFIX=c:\devel\libtom install -default: library +#The following can be overridden from command line e.g. make -f makefile.msvc CC=gcc ARFLAGS=rcs +PREFIX = c:\devel +CFLAGS = /Ox -#START_INS -OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +#Compilation flags +LTM_CFLAGS = /nologo /I./ /D_CRT_SECURE_NO_WARNINGS /D_CRT_NONSTDC_NO_DEPRECATE /W3 $(CFLAGS) +LTM_LDFLAGS = advapi32.lib + +#Libraries to be created (this makefile builds only static libraries) +LIBMAIN_S =tommath.lib + +#List of objects to compile (all goes to tommath.lib) +OBJECTS=bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ -bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ -bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ -bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ -bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ -bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ -bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ -bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ -bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_complement.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div.obj \ +bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj \ +bn_mp_dr_setup.obj bn_mp_exch.obj bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj \ +bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_bit.obj \ +bn_mp_get_double.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj bn_mp_grow.obj bn_mp_import.obj \ +bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_init_size.obj \ +bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj \ +bn_mp_karatsuba_sqr.obj bn_mp_kronecker.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod.obj bn_mp_mod_2d.obj bn_mp_mod_d.obj \ +bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj bn_mp_montgomery_setup.obj bn_mp_mul.obj \ +bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_neg.obj \ +bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_frobenius_underwood.obj bn_mp_prime_is_divisible.obj \ bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ -bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ -bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ -bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ -bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ -bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ -bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ -bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ -bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ -bn_s_mp_sqr.obj bn_s_mp_sub.obj +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_prime_strong_lucas_selfridge.obj \ +bn_mp_radix_size.obj bn_mp_radix_smap.obj bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj \ +bn_mp_read_unsigned_bin.obj bn_mp_reduce.obj bn_mp_reduce_2k.obj bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj \ +bn_mp_reduce_2k_setup_l.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj \ +bn_mp_set.obj bn_mp_set_double.obj bn_mp_set_int.obj bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj \ +bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj \ +bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_tc_and.obj bn_mp_tc_div_2d.obj bn_mp_tc_or.obj bn_mp_tc_xor.obj \ +bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj \ +bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj \ +bn_mp_zero.obj bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj \ +bn_s_mp_mul_high_digs.obj bn_s_mp_sqr.obj bn_s_mp_sub.obj bncore.obj -#END_INS +HEADERS_PUB=tommath.h tommath_class.h tommath_superclass.h -HEADERS=tommath.h tommath_class.h tommath_superclass.h +HEADERS=tommath_private.h $(HEADERS_PUB) -library: $(OBJECTS) - lib /out:tommath.lib $(OBJECTS) +#The default rule for make builds the tommath.lib library (static) +default: $(LIBMAIN_S) + +#Dependencies on *.h +$(OBJECTS): $(HEADERS) + +.c.obj: + $(CC) $(LTM_CFLAGS) /c $< /Fo$@ + +#Create tomcrypt.lib +$(LIBMAIN_S): $(OBJECTS) + lib /out:$(LIBMAIN_S) $(OBJECTS) + +#Build test_standalone suite +test.exe: $(LIBMAIN_S) demo/demo.c + cl $(LTM_CFLAGS) $(TOBJECTS) $(LIBMAIN_S) $(LTM_LDFLAGS) demo/demo.c /DLTM_DEMO_TEST_VS_MTEST=0 /Fe$@ + @echo NOTICE: start the tests by launching test.exe + +test_standalone: test.exe + +all: $(LIBMAIN_S) test_standalone + +clean: + @-cmd /c del /Q /S *.OBJ *.LIB *.EXE *.DLL 2>nul + +#Install the library + headers +install: $(LIBMAIN_S) + cmd /c if not exist "$(PREFIX)\bin" mkdir "$(PREFIX)\bin" + cmd /c if not exist "$(PREFIX)\lib" mkdir "$(PREFIX)\lib" + cmd /c if not exist "$(PREFIX)\include" mkdir "$(PREFIX)\include" + copy /Y $(LIBMAIN_S) "$(PREFIX)\lib" + copy /Y tommath*.h "$(PREFIX)\include" + +# ref: $Format:%D$ +# git commit: $Format:%H$ +# commit time: $Format:%ai$ diff --git a/makefile.shared b/makefile.shared index 43d365a..3955f83 100644 --- a/makefile.shared +++ b/makefile.shared @@ -10,42 +10,45 @@ endif include makefile_include.mk -ifndef LT +ifndef LIBTOOL ifeq ($(PLATFORM), Darwin) - LT:=glibtool + LIBTOOL:=glibtool else - LT:=libtool + LIBTOOL:=libtool endif endif -LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) +LTCOMPILE = $(LIBTOOL) --mode=compile --tag=CC $(CC) LCOV_ARGS=--directory .libs --directory . #START_INS -OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +OBJECTS=bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ -bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ -bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ -bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ -bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ -bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ -bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ -bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_complement.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div.o \ +bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o \ +bn_mp_dr_setup.o bn_mp_exch.o bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o \ +bn_mp_exptmod_fast.o bn_mp_exteuclid.o bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_bit.o \ +bn_mp_get_double.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o bn_mp_grow.o bn_mp_import.o \ +bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o bn_mp_init_set_int.o bn_mp_init_size.o \ +bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o bn_mp_jacobi.o bn_mp_karatsuba_mul.o \ +bn_mp_karatsuba_sqr.o bn_mp_kronecker.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mod_d.o \ +bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o bn_mp_montgomery_setup.o bn_mp_mul.o \ +bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_neg.o \ +bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_frobenius_underwood.o bn_mp_prime_is_divisible.o \ bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ -bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ -bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ -bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ -bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ -bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ -bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ -bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ -bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ -bn_s_mp_sqr.o bn_s_mp_sub.o +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_prime_strong_lucas_selfridge.o \ +bn_mp_radix_size.o bn_mp_radix_smap.o bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o \ +bn_mp_read_unsigned_bin.o bn_mp_reduce.o bn_mp_reduce_2k.o bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o \ +bn_mp_reduce_2k_setup_l.o bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o \ +bn_mp_set.o bn_mp_set_double.o bn_mp_set_int.o bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o \ +bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o \ +bn_mp_sub_d.o bn_mp_submod.o bn_mp_tc_and.o bn_mp_tc_div_2d.o bn_mp_tc_or.o bn_mp_tc_xor.o \ +bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o \ +bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o \ +bn_mp_zero.o bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o \ +bn_s_mp_mul_high_digs.o bn_s_mp_sqr.o bn_s_mp_sub.o bncore.o + #END_INS objs: $(OBJECTS) @@ -53,35 +56,36 @@ objs: $(OBJECTS) .c.o: $(LTCOMPILE) $(CFLAGS) $(LDFLAGS) -o $@ -c $< -LOBJECTS = $(OBJECTS:.o=.o) +LOBJECTS = $(OBJECTS:.o=.lo) $(LIBNAME): $(OBJECTS) - $(LT) --mode=link --tag=CC $(CC) $(LDFLAGS) $(LOBJECTS) -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) + $(LIBTOOL) --mode=link --tag=CC $(CC) $(LDFLAGS) $(LOBJECTS) -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) $(LIBTOOLFLAGS) install: $(LIBNAME) install -d $(DESTDIR)$(LIBPATH) install -d $(DESTDIR)$(INCPATH) - $(LT) --mode=install install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) + $(LIBTOOL) --mode=install install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) sed -e 's,^prefix=.*,prefix=$(PREFIX),' -e 's,^Version:.*,Version: $(VERSION_PC),' libtommath.pc.in > libtommath.pc install -d $(DESTDIR)$(LIBPATH)/pkgconfig install -m 644 libtommath.pc $(DESTDIR)$(LIBPATH)/pkgconfig/ uninstall: - $(LT) --mode=uninstall rm $(DESTDIR)$(LIBPATH)/$(LIBNAME) + $(LIBTOOL) --mode=uninstall rm $(DESTDIR)$(LIBPATH)/$(LIBNAME) rm $(HEADERS_PUB:%=$(DESTDIR)$(INCPATH)/%) rm $(DESTDIR)$(LIBPATH)/pkgconfig/libtommath.pc test: $(LIBNAME) demo/demo.o $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o - $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + $(LIBTOOL) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) test_standalone: $(LIBNAME) demo/demo.o $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o - $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + $(LIBTOOL) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) +.PHONY: mtest mtest: cd mtest ; $(CC) $(CFLAGS) $(LDFLAGS) mtest.c -o mtest -timing: $(LIBNAME) - $(LT) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest +timing: $(LIBNAME) demo/timing.c + $(LIBTOOL) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o timing diff --git a/makefile_include.mk b/makefile_include.mk index 4c762aa..d9d873b 100644 --- a/makefile_include.mk +++ b/makefile_include.mk @@ -3,9 +3,9 @@ # #version of library -VERSION=1.0.1 -VERSION_PC=1.0.1 -VERSION_SO=1:1 +VERSION=1.1.0 +VERSION_PC=1.1.0 +VERSION_SO=2:0:1 PLATFORM := $(shell uname | sed -e 's/_.*//') @@ -17,15 +17,34 @@ ifndef CROSS_COMPILE CROSS_COMPILE= endif -ifeq ($(CC),cc) - CC = $(CROSS_COMPILE)gcc +# We only need to go through this dance of determining the right compiler if we're using +# cross compilation, otherwise $(CC) is fine as-is. +ifneq (,$(CROSS_COMPILE)) +ifeq ($(origin CC),default) +CSTR := "\#ifdef __clang__\nCLANG\n\#endif\n" +ifeq ($(PLATFORM),FreeBSD) + # XXX: FreeBSD needs extra escaping for some reason + CSTR := $$$(CSTR) endif +ifneq (,$(shell echo $(CSTR) | $(CC) -E - | grep CLANG)) + CC := $(CROSS_COMPILE)clang +else + CC := $(CROSS_COMPILE)gcc +endif # Clang +endif # cc is Make's default +endif # CROSS_COMPILE non-empty + LD=$(CROSS_COMPILE)ld AR=$(CROSS_COMPILE)ar RANLIB=$(CROSS_COMPILE)ranlib ifndef MAKE - MAKE=make +# BSDs refer to GNU Make as gmake +ifneq (,$(findstring $(PLATFORM),FreeBSD OpenBSD DragonFly NetBSD)) + MAKE=gmake +else + MAKE=make +endif endif CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow @@ -60,14 +79,26 @@ endif # COMPILE_DEBUG ifneq ($(findstring clang,$(CC)),) CFLAGS += -Wno-typedef-redefinition -Wno-tautological-compare -Wno-builtin-requires-header endif +ifneq ($(findstring mingw,$(CC)),) +CFLAGS += -Wno-shadow +endif ifeq ($(PLATFORM), Darwin) CFLAGS += -Wno-nullability-completeness endif +ifeq ($(PLATFORM), CYGWIN) +LIBTOOLFLAGS += -no-undefined +endif + +ifeq ($(PLATFORM),FreeBSD) + _ARCH := $(shell sysctl -b hw.machine_arch) +else + _ARCH := $(shell arch) +endif # adjust coverage set -ifneq ($(filter $(shell arch), i386 i686 x86_64 amd64 ia64),) +ifneq ($(filter $(_ARCH), i386 i686 x86_64 amd64 ia64),) COVERAGE = test_standalone timing - COVERAGE_APP = ./test && ./ltmtest + COVERAGE_APP = ./test && ./timing else COVERAGE = test_standalone COVERAGE_APP = ./test @@ -110,7 +141,7 @@ cleancov-clean: cleancov: cleancov-clean clean clean: - rm -f *.gcda *.gcno *.gcov *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ + rm -f *.gcda *.gcno *.gcov *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test timing mpitest mtest/mtest mtest/mtest.exe \ *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la rm -rf .libs/ ${MAKE} -C etc/ clean MAKE=${MAKE} diff --git a/mess.sh b/mess.sh deleted file mode 100644 index bf639ce..0000000 --- a/mess.sh +++ /dev/null @@ -1,4 +0,0 @@ -#!/bin/bash -if cvs log $1 >/dev/null 2>/dev/null; then exit 0; else echo "$1 shouldn't be here" ; exit 1; fi - - diff --git a/mtest/logtab.h b/mtest/logtab.h index 751111e..dae3344 100644 --- a/mtest/logtab.h +++ b/mtest/logtab.h @@ -1,20 +1,20 @@ const float s_logv_2[] = { - 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ - 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ - 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ - 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ - 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ - 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ - 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ - 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ - 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ - 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ - 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ - 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ - 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ - 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ - 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ - 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ + 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ + 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ + 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ + 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ + 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ + 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ + 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ + 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ + 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ + 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ + 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ + 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ + 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ + 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ + 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ + 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ 0.166666667 }; diff --git a/mtest/mpi-config.h b/mtest/mpi-config.h index fc2a885..ea576e5 100644 --- a/mtest/mpi-config.h +++ b/mtest/mpi-config.h @@ -5,7 +5,7 @@ #define MPI_CONFIG_H_ /* - For boolean options, + For boolean options, 0 = no 1 = yes diff --git a/mtest/mpi.c b/mtest/mpi.c index 48dbe27..95c3811 100644 --- a/mtest/mpi.c +++ b/mtest/mpi.c @@ -2,10 +2,12 @@ mpi.c by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved + Copyright (C) 1998 Michael J. Fromberger Arbitrary precision integer arithmetic library + SPDX-License-Identifier: Unlicense + $Id$ */ @@ -176,7 +178,7 @@ mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */ mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */ mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */ mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r); - /* unsigned digit divide */ + /* unsigned digit divide */ mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu); /* Barrett reduction */ mp_err s_mp_add(mp_int *a, mp_int *b); /* magnitude addition */ @@ -358,15 +360,15 @@ mp_err mp_copy(mp_int *from, mp_int *to) } else { if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; + return MP_MEM; s_mp_copy(DIGITS(from), tmp, USED(from)); if(DIGITS(to) != NULL) { #if MP_CRYPTO - s_mp_setz(DIGITS(to), ALLOC(to)); + s_mp_setz(DIGITS(to), ALLOC(to)); #endif - s_mp_free(DIGITS(to)); + s_mp_free(DIGITS(to)); } DIGITS(to) = tmp; @@ -507,7 +509,7 @@ mp_err mp_set_int(mp_int *mp, long z) return res; res = s_mp_add_d(mp, - (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); + (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); if(res != MP_OKAY) return res; @@ -772,7 +774,7 @@ mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c) while(d != 0) { if(d & 1) { if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } d >>= 1; @@ -875,13 +877,13 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) */ if(c == b) { if((res = s_mp_add(c, a)) != MP_OKAY) - return res; + return res; } else { if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; + return res; if((res = s_mp_add(c, b)) != MP_OKAY) - return res; + return res; } } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ @@ -894,10 +896,10 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) mp_int tmp; if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; + mp_clear(&tmp); + return res; } s_mp_exch(&tmp, c); @@ -906,9 +908,9 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) } else { if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; + return res; } @@ -924,10 +926,10 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) mp_int tmp; if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; + mp_clear(&tmp); + return res; } s_mp_exch(&tmp, c); @@ -936,9 +938,9 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) } else { if(c != b && (res = mp_copy(b, c)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; + return res; } } @@ -970,12 +972,12 @@ mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) if(SIGN(a) != SIGN(b)) { if(c == a) { if((res = s_mp_add(c, b)) != MP_OKAY) - return res; + return res; } else { if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; + return res; if((res = s_mp_add(c, a)) != MP_OKAY) - return res; + return res; SIGN(c) = SIGN(a); } @@ -984,20 +986,20 @@ mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) mp_int tmp; if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; + mp_clear(&tmp); + return res; } s_mp_exch(&tmp, c); mp_clear(&tmp); } else { if(c != a && ((res = mp_copy(a, c)) != MP_OKAY)) - return res; + return res; if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; + return res; } } else if(cmp == 0) { /* Same sign, equal magnitude */ @@ -1009,21 +1011,21 @@ mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) mp_int tmp; if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; + return res; if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; + mp_clear(&tmp); + return res; } s_mp_exch(&tmp, c); mp_clear(&tmp); } else { if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; + return res; if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; + return res; } SIGN(c) = !SIGN(b); @@ -1157,7 +1159,7 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) if((cmp = s_mp_cmp(a, b)) < 0) { if(r) { if((res = mp_copy(a, r)) != MP_OKAY) - return res; + return res; } if(q) @@ -1173,7 +1175,7 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) mp_set(q, 1); if(qneg) - SIGN(q) = MP_NEG; + SIGN(q) = MP_NEG; } if(r) @@ -1286,14 +1288,14 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) /* Loop over bits of each non-maximal digit */ for(bit = 0; bit < DIGIT_BIT; bit++) { if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; } d >>= 1; if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } } @@ -1303,7 +1305,7 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) while(d) { if(d & 1) { if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } d >>= 1; @@ -1379,7 +1381,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) if(SIGN(c) == MP_NEG) { if((res = mp_add(c, m, c)) != MP_OKAY) - return res; + return res; } } else if(mag < 0) { @@ -1388,7 +1390,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) if(mp_cmp_z(a) < 0) { if((res = mp_add(c, m, c)) != MP_OKAY) - return res; + return res; } @@ -1667,18 +1669,18 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) /* Loop over the bits of the lower-order digits */ for(bit = 0; bit < DIGIT_BIT; bit++) { if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; + if((res = s_mp_mul(&s, &x)) != MP_OKAY) + goto CLEANUP; + if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) + goto CLEANUP; } d >>= 1; if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } } @@ -1688,9 +1690,9 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) while(d) { if(d & 1) { if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } d >>= 1; @@ -1735,8 +1737,8 @@ mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c) while(d != 0) { if(d & 1) { if((res = s_mp_mul(&s, &x)) != MP_OKAY || - (res = mp_mod(&s, m, &s)) != MP_OKAY) - goto CLEANUP; + (res = mp_mod(&s, m, &s)) != MP_OKAY) + goto CLEANUP; } d /= 2; @@ -1973,17 +1975,17 @@ mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) if(mp_cmp_z(&t) == MP_GT) { if((res = mp_copy(&t, &u)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; } else { if((res = mp_copy(&t, &v)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; /* v = -t */ if(SIGN(&t) == MP_ZPOS) - SIGN(&v) = MP_NEG; + SIGN(&v) = MP_NEG; else - SIGN(&v) = MP_ZPOS; + SIGN(&v) = MP_ZPOS; } if((res = mp_sub(&u, &v, &t)) != MP_OKAY) @@ -2111,12 +2113,12 @@ mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) s_mp_div_2(&u); if(mp_iseven(&A) && mp_iseven(&B)) { - s_mp_div_2(&A); s_mp_div_2(&B); + s_mp_div_2(&A); s_mp_div_2(&B); } else { - if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&A); - if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&B); + if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&A); + if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&B); } } @@ -2124,12 +2126,12 @@ mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) s_mp_div_2(&v); if(mp_iseven(&C) && mp_iseven(&D)) { - s_mp_div_2(&C); s_mp_div_2(&D); + s_mp_div_2(&C); s_mp_div_2(&D); } else { - if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&C); - if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&D); + if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&C); + if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; + s_mp_div_2(&D); } } @@ -2148,13 +2150,13 @@ mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) /* If we're done, copy results to output */ if(mp_cmp_z(&u) == 0) { if(x) - if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; + if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; if(y) - if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; + if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; if(g) - if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; + if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; break; } @@ -2463,15 +2465,15 @@ mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) mp_sign sig = MP_ZPOS; ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, - MP_BADARG); + MP_BADARG); mp_zero(mp); /* Skip leading non-digit characters until a digit or '-' or '+' */ while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && - str[ix] != '-' && - str[ix] != '+') { + (s_mp_tovalue(str[ix], radix) < 0) && + str[ix] != '-' && + str[ix] != '+') { ++ix; } @@ -2567,8 +2569,8 @@ mp_err mp_toradix(mp_int *mp, char *str, int radix) /* Generate output digits in reverse order */ while(mp_cmp_z(&tmp) != 0) { if((res = s_mp_div_d(&tmp, rdx, &rem)) != MP_OKAY) { - mp_clear(&tmp); - return res; + mp_clear(&tmp); + return res; } /* Generate digits, use capital letters */ @@ -2914,7 +2916,7 @@ mp_err s_mp_mul_2(mp_int *mp) if(kin) { if(ix >= ALLOC(mp)) { if((res = s_mp_grow(mp, ALLOC(mp) + 1)) != MP_OKAY) - return res; + return res; dp = DIGITS(mp); } @@ -3555,12 +3557,12 @@ mp_err s_mp_sqr(mp_int *a) w = *pa1 * *pa2; /* If w is more than half MP_WORD_MAX, the doubling will - overflow, and we need to record a carry out into the next - word */ + overflow, and we need to record a carry out into the next + word */ u = (w >> (MP_WORD_BIT - 1)) & 1; /* Double what we've got, overflow will be ignored as defined - for C arithmetic (we've already noted if it is to occur) + for C arithmetic (we've already noted if it is to occur) */ w *= 2; @@ -3568,7 +3570,7 @@ mp_err s_mp_sqr(mp_int *a) v = *pt + k; /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so + if the addition will cause one, and set the carry out if so */ u |= ((MP_WORD_MAX - v) < w); @@ -3579,7 +3581,7 @@ mp_err s_mp_sqr(mp_int *a) *pt = ACCUM(w); /* Save carry information for the next iteration of the loop. - This is why k must be an mp_word, instead of an mp_digit */ + This is why k must be an mp_word, instead of an mp_digit */ k = CARRYOUT(w) | (u << DIGIT_BIT); } /* for(jx ...) */ @@ -3665,10 +3667,10 @@ mp_err s_mp_div(mp_int *a, mp_int *b) /* Find a partial substring of a which is at least b */ while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; if((res = s_mp_lshd(", 1)) != MP_OKAY) - goto CLEANUP; + goto CLEANUP; DIGIT(&rem, 0) = DIGIT(a, ix); s_mp_clamp(&rem); @@ -3790,9 +3792,9 @@ int s_mp_cmp(mp_int *a, mp_int *b) while(ix >= 0) { if(*ap > *bp) - return MP_GT; + return MP_GT; else if(*ap < *bp) - return MP_LT; + return MP_LT; --ap; --bp; --ix; } @@ -3851,7 +3853,7 @@ int s_mp_ispow2(mp_int *v) while(ix >= 0) { if(*dp) - return -1; /* not a power of two */ + return -1; /* not a power of two */ --dp; --ix; } diff --git a/mtest/mpi.h b/mtest/mpi.h index 5accb52..9a9cc41 100644 --- a/mtest/mpi.h +++ b/mtest/mpi.h @@ -2,10 +2,12 @@ mpi.h by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved + Copyright (C) 1998 Michael J. Fromberger Arbitrary precision integer arithmetic library + SPDX-License-Identifier: Unlicense + $Id$ */ diff --git a/mtest/mtest.c b/mtest/mtest.c index af86920..06c9afb 100644 --- a/mtest/mtest.c +++ b/mtest/mtest.c @@ -59,12 +59,12 @@ void rand_num(mp_int *a) #else sz = 1; while (sz < (unsigned)size) { - buf[sz] = getRandChar(); - ++sz; + buf[sz] = getRandChar(); + ++sz; } #endif if (sz != (unsigned)size) { - fprintf(stderr, "\nWarning: fread failed\n\n"); + fprintf(stderr, "\nWarning: fread failed\n\n"); } while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); @@ -83,12 +83,12 @@ void rand_num2(mp_int *a) #else sz = 1; while (sz < (unsigned)size) { - buf[sz] = getRandChar(); - ++sz; + buf[sz] = getRandChar(); + ++sz; } #endif if (sz != (unsigned)size) { - fprintf(stderr, "\nWarning: fread failed\n\n"); + fprintf(stderr, "\nWarning: fread failed\n\n"); } while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); @@ -113,46 +113,46 @@ int main(int argc, char *argv[]) mp_init(&e); if (argc > 1) { - max = strtol(argv[1], NULL, 0); - if (max < 0) { - if (max > -64) { - max = (1 << -(max)) + 1; - } else { - max = 1; - } - } else if (max == 0) { - max = 1; - } - } - else { - max = 0; + max = strtol(argv[1], NULL, 0); + if (max < 0) { + if (max > -64) { + max = (1 << -(max)) + 1; + } else { + max = 1; + } + } else if (max == 0) { + max = 1; + } + } else { + max = 0; } /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ -/* - mp_set(&a, 1); - for (n = 1; n < 8192; n++) { - mp_mul(&a, &a, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n%s\n", buf, buf); - mp_to64(&c, buf); - printf("%s\n", buf); + /* + mp_set(&a, 1); + for (n = 1; n < 8192; n++) { + mp_mul(&a, &a, &c); + printf("mul\n"); + mp_to64(&a, buf); + printf("%s\n%s\n", buf, buf); + mp_to64(&c, buf); + printf("%s\n", buf); - mp_add_d(&a, 1, &a); - mp_mul_2(&a, &a); - mp_sub_d(&a, 1, &a); - } -*/ + mp_add_d(&a, 1, &a); + mp_mul_2(&a, &a); + mp_sub_d(&a, 1, &a); + } + */ #ifdef LTM_MTEST_REAL_RAND rng = fopen("/dev/urandom", "rb"); if (rng == NULL) { rng = fopen("/dev/random", "rb"); if (rng == NULL) { - fprintf(stderr, "\nWarning: stdin used as random source\n\n"); - rng = stdin; + fprintf(stderr, "\nWarning: no /dev/[u]random available\n\n"); + printf("exit\n"); + return 1; } } #else @@ -169,198 +169,198 @@ int main(int argc, char *argv[]) t1 = clock(); } #endif - n = getRandChar() % 15; + n = getRandChar() % 15; - if (max != 0) { - --max; - if (max == 0) - n = 255; - } + if (max != 0) { + --max; + if (max == 0) + n = 255; + } - if (n == 0) { - /* add tests */ - rand_num(&a); - rand_num(&b); - mp_add(&a, &b, &c); - printf("add\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 1) { - /* sub tests */ - rand_num(&a); - rand_num(&b); - mp_sub(&a, &b, &c); - printf("sub\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 2) { - /* mul tests */ - rand_num(&a); - rand_num(&b); - mp_mul(&a, &b, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 3) { - /* div tests */ - rand_num(&a); - rand_num(&b); - mp_div(&a, &b, &c, &d); - printf("div\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 4) { - /* sqr tests */ - rand_num(&a); - mp_sqr(&a, &b); - printf("sqr\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 5) { - /* mul_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = getRandChar() & 63; - mp_mul_2d(&b, n, &b); - mp_to64(&a, buf); - printf("mul2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 6) { - /* div_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = getRandChar() & 63; - mp_div_2d(&b, n, &b, NULL); - mp_to64(&a, buf); - printf("div2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 7) { - /* gcd test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - printf("gcd\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 8) { - /* lcm test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_lcm(&a, &b, &c); - printf("lcm\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 9) { - /* exptmod test */ - rand_num2(&a); - rand_num2(&b); - rand_num2(&c); -// if (c.dp[0]&1) mp_add_d(&c, 1, &c); - a.sign = b.sign = c.sign = 0; - mp_exptmod(&a, &b, &c, &d); - printf("expt\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 10) { - /* invmod test */ - do { - rand_num2(&a); - rand_num2(&b); - b.sign = MP_ZPOS; - a.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - } while (mp_cmp_d(&c, 1) != 0 || mp_cmp_d(&b, 1) == 0); - mp_invmod(&a, &b, &c); - printf("invmod\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 11) { - rand_num(&a); - mp_mul_2(&a, &a); - mp_div_2(&a, &b); - printf("div2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 12) { - rand_num2(&a); - mp_mul_2(&a, &b); - printf("mul2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 13) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_add_d(&a, tmp, &b); - printf("add_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 14) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_sub_d(&a, tmp, &b); - printf("sub_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 255) { - printf("exit\n"); - break; - } + if (n == 0) { + /* add tests */ + rand_num(&a); + rand_num(&b); + mp_add(&a, &b, &c); + printf("add\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 1) { + /* sub tests */ + rand_num(&a); + rand_num(&b); + mp_sub(&a, &b, &c); + printf("sub\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 2) { + /* mul tests */ + rand_num(&a); + rand_num(&b); + mp_mul(&a, &b, &c); + printf("mul\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 3) { + /* div tests */ + rand_num(&a); + rand_num(&b); + mp_div(&a, &b, &c, &d); + printf("div\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + mp_to64(&d, buf); + printf("%s\n", buf); + } else if (n == 4) { + /* sqr tests */ + rand_num(&a); + mp_sqr(&a, &b); + printf("sqr\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 5) { + /* mul_2d test */ + rand_num(&a); + mp_copy(&a, &b); + n = getRandChar() & 63; + mp_mul_2d(&b, n, &b); + mp_to64(&a, buf); + printf("mul2d\n"); + printf("%s\n", buf); + printf("%d\n", n); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 6) { + /* div_2d test */ + rand_num(&a); + mp_copy(&a, &b); + n = getRandChar() & 63; + mp_div_2d(&b, n, &b, NULL); + mp_to64(&a, buf); + printf("div2d\n"); + printf("%s\n", buf); + printf("%d\n", n); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 7) { + /* gcd test */ + rand_num(&a); + rand_num(&b); + a.sign = MP_ZPOS; + b.sign = MP_ZPOS; + mp_gcd(&a, &b, &c); + printf("gcd\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 8) { + /* lcm test */ + rand_num(&a); + rand_num(&b); + a.sign = MP_ZPOS; + b.sign = MP_ZPOS; + mp_lcm(&a, &b, &c); + printf("lcm\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 9) { + /* exptmod test */ + rand_num2(&a); + rand_num2(&b); + rand_num2(&c); + /* if (c.dp[0]&1) mp_add_d(&c, 1, &c); */ + a.sign = b.sign = c.sign = 0; + mp_exptmod(&a, &b, &c, &d); + printf("expt\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + mp_to64(&d, buf); + printf("%s\n", buf); + } else if (n == 10) { + /* invmod test */ + do { + rand_num2(&a); + rand_num2(&b); + b.sign = MP_ZPOS; + a.sign = MP_ZPOS; + mp_gcd(&a, &b, &c); + } while (mp_cmp_d(&c, 1) != 0 || mp_cmp_d(&b, 1) == 0); + mp_invmod(&a, &b, &c); + printf("invmod\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + mp_to64(&c, buf); + printf("%s\n", buf); + } else if (n == 11) { + rand_num(&a); + mp_mul_2(&a, &a); + mp_div_2(&a, &b); + printf("div2\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 12) { + rand_num2(&a); + mp_mul_2(&a, &b); + printf("mul2\n"); + mp_to64(&a, buf); + printf("%s\n", buf); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 13) { + rand_num2(&a); + tmp = abs(rand()) & THE_MASK; + mp_add_d(&a, tmp, &b); + printf("add_d\n"); + mp_to64(&a, buf); + printf("%s\n%d\n", buf, tmp); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 14) { + rand_num2(&a); + tmp = abs(rand()) & THE_MASK; + mp_sub_d(&a, tmp, &b); + printf("sub_d\n"); + mp_to64(&a, buf); + printf("%s\n%d\n", buf, tmp); + mp_to64(&b, buf); + printf("%s\n", buf); + } else if (n == 255) { + printf("exit\n"); + break; + } } #ifdef LTM_MTEST_REAL_RAND diff --git a/parsenames.pl b/parsenames.pl deleted file mode 100755 index 6703971..0000000 --- a/parsenames.pl +++ /dev/null @@ -1,28 +0,0 @@ -#!/usr/bin/perl -# -# Splits the list of files and outputs for makefile type files -# wrapped at 80 chars -# -# Tom St Denis -use strict; -use warnings; - -my @a = split ' ', $ARGV[1]; -my $b = $ARGV[0] . '='; -my $len = length $b; -print $b; -foreach my $obj (@a) { - $len = $len + length $obj; - $obj =~ s/\*/\$/; - if ($len > 100) { - printf "\\\n"; - $len = length $obj; - } - print $obj . ' '; -} - -print "\n\n"; - -# ref: $Format:%D$ -# git commit: $Format:%H$ -# commit time: $Format:%ai$ diff --git a/pre_gen/mpi.c b/pre_gen/mpi.c deleted file mode 100644 index 39b5101..0000000 --- a/pre_gen/mpi.c +++ /dev/null @@ -1,10108 +0,0 @@ -/* Start: bn_error.c */ -#include -#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) -{ - int x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (int)(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: $Format:%ai$ */ - -/* End: bn_error.c */ - -/* Start: bn_fast_mp_invmod.c */ -#include -#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 ( mp_int * a, 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; - } - - /* 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, 1); - -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, 1) != 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: $Format:%ai$ */ - -/* End: bn_fast_mp_invmod.c */ - -/* Start: bn_fast_mp_montgomery_reduce.c */ -#include -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < (n->used + 1)) { - if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - mp_word *_W; - mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < ((n->used * 2) + 1); ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - mp_digit mu; - mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - int iy; - mp_digit *tmpn; - mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - mp_digit *tmpx; - mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= ((n->used * 2) + 1); ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < (n->used + 1); ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp (x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_fast_mp_montgomery_reduce.c */ - -/* Start: bn_fast_s_mp_mul_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow (c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < (pa + 1); ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_fast_s_mp_mul_digs.c */ - -/* Start: bn_fast_s_mp_mul_high_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow (c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_fast_s_mp_mul_high_digs.c */ - -/* Start: bn_fast_s_mp_sqr.c */ -#include -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr (mp_int * a, mp_int * b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow (b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, ((ty-tx)+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); - } - - /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_fast_s_mp_sqr.c */ - -/* Start: bn_mp_2expt.c */ -#include -#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 - */ - -/* computes a = 2**b - * - * Simple algorithm which zeroes the int, grows it then just sets one bit - * as required. - */ -int -mp_2expt (mp_int * a, int b) -{ - int res; - - /* zero a as per default */ - mp_zero (a); - - /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { - return res; - } - - /* set the used count of where the bit will go */ - a->used = (b / DIGIT_BIT) + 1; - - /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_2expt.c */ - -/* Start: bn_mp_abs.c */ -#include -#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 - */ - -/* b = |a| - * - * Simple function copies the input and fixes the sign to positive - */ -int -mp_abs (mp_int * a, mp_int * b) -{ - int res; - - /* copy a to b */ - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - /* force the sign of b to positive */ - b->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_abs.c */ - -/* Start: bn_mp_add.c */ -#include -#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 - */ - -/* high level addition (handles signs) */ -int mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - /* get sign of both inputs */ - sa = a->sign; - sb = b->sign; - - /* handle two cases, not four */ - if (sa == sb) { - /* both positive or both negative */ - /* add their magnitudes, copy the sign */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* one positive, the other negative */ - /* subtract the one with the greater magnitude from */ - /* the one of the lesser magnitude. The result gets */ - /* the sign of the one with the greater magnitude. */ - if (mp_cmp_mag (a, b) == MP_LT) { - c->sign = sb; - res = s_mp_sub (b, a, c); - } else { - c->sign = sa; - res = s_mp_sub (a, b, c); - } - } - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_add.c */ - -/* Start: bn_mp_add_d.c */ -#include -#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 - */ - -/* single digit addition */ -int -mp_add_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; - - /* grow c as required */ - if (c->alloc < (a->used + 1)) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative and |a| >= b, call c = |a| - b */ - if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) { - /* temporarily fix sign of a */ - a->sign = MP_ZPOS; - - /* c = |a| - b */ - res = mp_sub_d(a, b, c); - - /* fix sign */ - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* old number of used digits in c */ - oldused = c->used; - - /* source alias */ - tmpa = a->dp; - - /* destination alias */ - tmpc = c->dp; - - /* if a is positive */ - if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - } - /* set final carry */ - ix++; - *tmpc++ = mu; - - /* setup size */ - c->used = a->used + 1; - } else { - /* a was negative and |a| < b */ - c->used = 1; - - /* the result is a single digit */ - if (a->used == 1) { - *tmpc++ = b - a->dp[0]; - } else { - *tmpc++ = b; - } - - /* setup count so the clearing of oldused - * can fall through correctly - */ - ix = 1; - } - - /* sign always positive */ - c->sign = MP_ZPOS; - - /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_add_d.c */ - -/* Start: bn_mp_addmod.c */ -#include -#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 - */ - -/* d = a + b (mod c) */ -int -mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_add (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_addmod.c */ - -/* Start: bn_mp_and.c */ -#include -#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 - */ - -/* AND two ints together */ -int -mp_and (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } - - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; - } - - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_and.c */ - -/* Start: bn_mp_clamp.c */ -#include -#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 - */ - -/* trim unused digits - * - * This is used to ensure that leading zero digits are - * trimed and the leading "used" digit will be non-zero - * Typically very fast. Also fixes the sign if there - * are no more leading digits - */ -void -mp_clamp (mp_int * a) -{ - /* decrease used while the most significant digit is - * zero. - */ - while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { - --(a->used); - } - - /* reset the sign flag if used == 0 */ - if (a->used == 0) { - a->sign = MP_ZPOS; - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_clamp.c */ - -/* Start: bn_mp_clear.c */ -#include -#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 - */ - -/* clear one (frees) */ -void -mp_clear (mp_int * a) -{ - int i; - - /* only do anything if a hasn't been freed previously */ - if (a->dp != NULL) { - /* first zero the digits */ - for (i = 0; i < a->used; i++) { - a->dp[i] = 0; - } - - /* free ram */ - XFREE(a->dp); - - /* reset members to make debugging easier */ - a->dp = NULL; - a->alloc = a->used = 0; - a->sign = MP_ZPOS; - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_clear.c */ - -/* Start: bn_mp_clear_multi.c */ -#include -#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 - */ -#include - -void mp_clear_multi(mp_int *mp, ...) -{ - mp_int* next_mp = mp; - va_list args; - va_start(args, mp); - while (next_mp != NULL) { - mp_clear(next_mp); - next_mp = va_arg(args, mp_int*); - } - va_end(args); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_clear_multi.c */ - -/* Start: bn_mp_cmp.c */ -#include -#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 - */ - -/* compare two ints (signed)*/ -int -mp_cmp (mp_int * a, mp_int * b) -{ - /* compare based on sign */ - if (a->sign != b->sign) { - if (a->sign == MP_NEG) { - return MP_LT; - } else { - return MP_GT; - } - } - - /* compare digits */ - if (a->sign == MP_NEG) { - /* if negative compare opposite direction */ - return mp_cmp_mag(b, a); - } else { - return mp_cmp_mag(a, b); - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_cmp.c */ - -/* Start: bn_mp_cmp_d.c */ -#include -#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 - */ - -/* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) -{ - /* compare based on sign */ - if (a->sign == MP_NEG) { - return MP_LT; - } - - /* compare based on magnitude */ - if (a->used > 1) { - return MP_GT; - } - - /* compare the only digit of a to b */ - if (a->dp[0] > b) { - return MP_GT; - } else if (a->dp[0] < b) { - return MP_LT; - } else { - return MP_EQ; - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_cmp_d.c */ - -/* Start: bn_mp_cmp_mag.c */ -#include -#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 - */ - -/* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) -{ - int n; - mp_digit *tmpa, *tmpb; - - /* compare based on # of non-zero digits */ - if (a->used > b->used) { - return MP_GT; - } - - if (a->used < b->used) { - return MP_LT; - } - - /* alias for a */ - tmpa = a->dp + (a->used - 1); - - /* alias for b */ - tmpb = b->dp + (a->used - 1); - - /* compare based on digits */ - for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { - if (*tmpa > *tmpb) { - return MP_GT; - } - - if (*tmpa < *tmpb) { - return MP_LT; - } - } - return MP_EQ; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_cmp_mag.c */ - -/* Start: bn_mp_cnt_lsb.c */ -#include -#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 - */ - -static const int lnz[16] = { - 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 -}; - -/* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) -{ - int x; - mp_digit q, qq; - - /* easy out */ - if (mp_iszero(a) == MP_YES) { - return 0; - } - - /* scan lower digits until non-zero */ - for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} - q = a->dp[x]; - x *= DIGIT_BIT; - - /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { - do { - qq = q & 15; - x += lnz[qq]; - q >>= 4; - } while (qq == 0); - } - return x; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_cnt_lsb.c */ - -/* Start: bn_mp_copy.c */ -#include -#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 - */ - -/* copy, b = a */ -int -mp_copy (mp_int * a, mp_int * b) -{ - int res, n; - - /* if dst == src do nothing */ - if (a == b) { - return MP_OKAY; - } - - /* grow dest */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - /* zero b and copy the parameters over */ - { - mp_digit *tmpa, *tmpb; - - /* pointer aliases */ - - /* source */ - tmpa = a->dp; - - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } - } - - /* copy used count and sign */ - b->used = a->used; - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_copy.c */ - -/* Start: bn_mp_count_bits.c */ -#include -#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 - */ - -/* returns the number of bits in an int */ -int -mp_count_bits (mp_int * a) -{ - int r; - mp_digit q; - - /* shortcut */ - if (a->used == 0) { - return 0; - } - - /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; - - /* take the last digit and count the bits in it */ - q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { - ++r; - q >>= ((mp_digit) 1); - } - return r; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_count_bits.c */ - -/* Start: bn_mp_div.c */ -#include -#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 - */ - -#ifdef BN_MP_DIV_SMALL - -/* slower bit-bang division... also smaller */ -int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int ta, tb, tq, q; - int res, n, n2; - - /* is divisor zero ? */ - if (mp_iszero (b) == MP_YES) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { - return res; - } - - - mp_set(&tq, 1); - n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } - - while (n-- >= 0) { - if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; - } - } - - /* now q == quotient and ta == remainder */ - n = a->sign; - n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - if (c != NULL) { - mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; - } - if (d != NULL) { - mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; - } -LBL_ERR: - mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; -} - -#else - -/* integer signed division. - * c*b + d == a [e.g. a/b, c=quotient, d=remainder] - * HAC pp.598 Algorithm 14.20 - * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the - * case that y has fewer than three digits, etc.. - * - * The overall algorithm is as described as - * 14.20 from HAC but fixed to treat these cases. -*/ -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; - - /* is divisor zero ? */ - if (mp_iszero (b) == MP_YES) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { - return res; - } - q.used = a->used + 2; - - if ((res = mp_init (&t1)) != MP_OKAY) { - goto LBL_Q; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto LBL_T2; - } - - if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto LBL_X; - } - - /* fix the sign */ - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - x.sign = y.sign = MP_ZPOS; - - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; - if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } - } else { - norm = 0; - } - - /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ - n = x.used - 1; - t = y.used - 1; - - /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } - - while (mp_cmp (&x, &y) != MP_LT) { - ++(q.dp[n - t]); - if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } - } - - /* reset y by shifting it back down */ - mp_rshd (&y, n - t); - - /* step 3. for i from n down to (t + 1) */ - for (i = n; i >= (t + 1); i--) { - if (i > x.used) { - continue; - } - - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, - * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ - if (x.dp[i] == y.dp[t]) { - q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); - } else { - mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) { - tmp = MP_MASK; - } - q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); - } - - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; - */ - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; - do { - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; - - /* find left hand */ - mp_zero (&t1); - t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; - t1.dp[1] = y.dp[t]; - t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - /* find right hand */ - t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; - t2.dp[2] = x.dp[i]; - t2.used = 3; - } while (mp_cmp_mag(&t1, &t2) == MP_GT); - - /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ - if (x.sign == MP_NEG) { - if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; - } - } - - /* now q is the quotient and x is the remainder - * [which we have to normalize] - */ - - /* get sign before writing to c */ - x.sign = (x.used == 0) ? MP_ZPOS : a->sign; - - if (c != NULL) { - mp_clamp (&q); - mp_exch (&q, c); - c->sign = neg; - } - - if (d != NULL) { - if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) { - goto LBL_Y; - } - mp_exch (&x, d); - } - - res = MP_OKAY; - -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); -LBL_Q:mp_clear (&q); - return res; -} - -#endif - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_div.c */ - -/* Start: bn_mp_div_2.c */ -#include -#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 - */ - -/* b = a/2 */ -int mp_div_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* copy */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - { - mp_digit r, rr, *tmpa, *tmpb; - - /* source alias */ - tmpa = a->dp + b->used - 1; - - /* dest alias */ - tmpb = b->dp + b->used - 1; - - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1; - - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); - - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_div_2.c */ - -/* Start: bn_mp_div_2d.c */ -#include -#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 - */ - -/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) -{ - mp_digit D, r, rr; - int x, res; - - /* if the shift count is <= 0 then we do no work */ - if (b <= 0) { - res = mp_copy (a, c); - if (d != NULL) { - mp_zero (d); - } - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - /* 'a' should not be used after here - it might be the same as d */ - - /* get the remainder */ - if (d != NULL) { - if ((res = mp_mod_2d (a, b, d)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - mp_rshd (c, b / DIGIT_BIT); - } - - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit) (b % DIGIT_BIT); - if (D != 0) { - mp_digit *tmpc, mask, shift; - - /* mask */ - mask = (((mp_digit)1) << D) - 1; - - /* shift for lsb */ - shift = DIGIT_BIT - D; - - /* alias */ - tmpc = c->dp + (c->used - 1); - - /* carry */ - r = 0; - for (x = c->used - 1; x >= 0; x--) { - /* get the lower bits of this word in a temp */ - rr = *tmpc & mask; - - /* shift the current word and mix in the carry bits from the previous word */ - *tmpc = (*tmpc >> D) | (r << shift); - --tmpc; - - /* set the carry to the carry bits of the current word found above */ - r = rr; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_div_2d.c */ - -/* Start: bn_mp_div_3.c */ -#include -#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 - */ - -/* divide by three (based on routine from MPI and the GMP manual) */ -int -mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) -{ - mp_int q; - mp_word w, t; - mp_digit b; - int res, ix; - - /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); - - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= 3) { - /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); - - /* now subtract 3 * [w/3] from w, to get the remainder */ - w -= t+t+t; - - /* fixup the remainder as required since - * the optimization is not exact. - */ - while (w >= 3) { - t += 1; - w -= 3; - } - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - /* [optional] store the remainder */ - if (d != NULL) { - *d = (mp_digit)w; - } - - /* [optional] store the quotient */ - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_div_3.c */ - -/* Start: bn_mp_div_d.c */ -#include -#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 == 0) || ((b & (b-1)) != 0)) { - return 0; - } - - for (x = 0; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= b) { - t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - if (d != NULL) { - *d = (mp_digit)w; - } - - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_div_d.c */ - -/* Start: bn_mp_dr_is_modulus.c */ -#include -#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 - */ - -/* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(mp_int *a) -{ - int ix; - - /* must be at least two digits */ - if (a->used < 2) { - return 0; - } - - /* must be of the form b**k - a [a <= b] so all - * but the first digit must be equal to -1 (mod b). - */ - for (ix = 1; ix < a->used; ix++) { - if (a->dp[ix] != MP_MASK) { - return 0; - } - } - return 1; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_dr_is_modulus.c */ - -/* Start: bn_mp_dr_reduce.c */ -#include -#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 - */ - -/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. - * - * Based on algorithm from the paper - * - * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Joong Lee, - * POSTECH Information Research Laboratories - * - * The modulus must be of a special format [see manual] - * - * Has been modified to use algorithm 7.10 from the LTM book instead - * - * Input x must be in the range 0 <= x <= (n-1)**2 - */ -int -mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) -{ - int err, i, m; - mp_word r; - mp_digit mu, *tmpx1, *tmpx2; - - /* m = digits in modulus */ - m = n->used; - - /* ensure that "x" has at least 2m digits */ - if (x->alloc < (m + m)) { - if ((err = mp_grow (x, m + m)) != MP_OKAY) { - return err; - } - } - -/* top of loop, this is where the code resumes if - * another reduction pass is required. - */ -top: - /* aliases for digits */ - /* alias for lower half of x */ - tmpx1 = x->dp; - - /* alias for upper half of x, or x/B**m */ - tmpx2 = x->dp + m; - - /* set carry to zero */ - mu = 0; - - /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ - for (i = 0; i < m; i++) { - r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; - *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); - } - - /* set final carry */ - *tmpx1++ = mu; - - /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } - - /* clamp, sub and return */ - mp_clamp (x); - - /* if x >= n then subtract and reduce again - * Each successive "recursion" makes the input smaller and smaller. - */ - if (mp_cmp_mag (x, n) != MP_LT) { - if ((err = s_mp_sub(x, n, x)) != MP_OKAY) { - return err; - } - goto top; - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_dr_reduce.c */ - -/* Start: bn_mp_dr_setup.c */ -#include -#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 - */ - -/* determines the setup value */ -void mp_dr_setup(mp_int *a, mp_digit *d) -{ - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] - */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - - ((mp_word)a->dp[0])); -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_dr_setup.c */ - -/* Start: bn_mp_exch.c */ -#include -#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 - */ - -/* swap the elements of two integers, for cases where you can't simply swap the - * mp_int pointers around - */ -void -mp_exch (mp_int * a, mp_int * b) -{ - mp_int t; - - t = *a; - *a = *b; - *b = t; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_exch.c */ - -/* Start: bn_mp_export.c */ -#include -#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, 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] == 4) ? -1 : 1; - } - - odd_nails = (nails % 8); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); - } - nail_bytes = nails / 8; - - bits = mp_count_bits(&t); - count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); - - for (i = 0; i < count; ++i) { - for (j = 0; j < size; ++j) { - unsigned char* byte = ( - (unsigned char*)rop + - (((order == -1) ? i : ((count - 1) - i)) * size) + - ((endian == -1) ? j : ((size - 1) - j)) - ); - - if (j >= (size - nail_bytes)) { - *byte = 0; - continue; - } - - *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); - - if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - 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: $Format:%ai$ */ - -/* End: bn_mp_export.c */ - -/* Start: bn_mp_expt_d.c */ -#include -#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 (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: $Format:%ai$ */ - -/* End: bn_mp_expt_d.c */ - -/* Start: bn_mp_expt_d_ex.c */ -#include -#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 (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, 1); - - if (fast != 0) { - while (b > 0) { - /* if the bit is set multiply */ - if ((b & 1) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* square */ - if (b > 1) { - if ((res = mp_sqr (&g, &g)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b >>= 1; - } - } - else { - for (x = 0; x < 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) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - 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: $Format:%ai$ */ - -/* End: bn_mp_expt_d_ex.c */ - -/* Start: bn_mp_exptmod.c */ -#include -#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 - */ - - -/* 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 (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -{ - int dr; - - /* modulus P must be positive */ - if (P->sign == MP_NEG) { - return MP_VAL; - } - - /* if exponent X is negative we have to recurse */ - if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C - mp_int tmpG, tmpX; - int err; - - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { - return err; - } - if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - - /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; - } - - /* and now compute (1/G)**|X| instead of G**X [X < 0] */ - err = mp_exptmod(&tmpG, &tmpX, P, Y); - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; -#else - /* no invmod */ - return MP_VAL; -#endif - } - -/* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { - return s_mp_exptmod(G, X, P, Y, 1); - } -#endif - -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif - -#ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; - } -#endif - - /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if ((mp_isodd (P) == MP_YES) || (dr != 0)) { - return mp_exptmod_fast (G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C - /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y, 0); -#else - /* no exptmod for evens */ - return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C - } -#endif -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_exptmod.c */ - -/* Start: bn_mp_exptmod_fast.c */ -#include -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int*,mp_int*,mp_digit); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init_size(&M[1], P->alloc)) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init_size(&M[x], P->alloc)) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if ((((P->used * 2) + 1) < MP_WARRAY) && - (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init_size (&res, P->alloc)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto LBL_RES; - } - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - } else { - mp_set(&res, 1); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if ((mode == 0) && (y == 0)) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if ((mode == 1) && (y == 0)) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if ((mode == 2) && (bitcpy > 0)) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_exptmod_fast.c */ - -/* Start: bn_mp_exteuclid.c */ -#include -#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 - */ - -/* Extended euclidean algorithm of (a, b) produces - a*u1 + b*u2 = u3 - */ -int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) -{ - mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; - int err; - - if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { - return err; - } - - /* initialize, (u1,u2,u3) = (1,0,a) */ - mp_set(&u1, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto LBL_ERR; } - - /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto LBL_ERR; } - - /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { - /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto LBL_ERR; } - - /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto LBL_ERR; } - - /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto LBL_ERR; } - - /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto LBL_ERR; } - } - - /* make sure U3 >= 0 */ - if (u3.sign == MP_NEG) { - if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto LBL_ERR; } - if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto LBL_ERR; } - } - - /* copy result out */ - if (U1 != NULL) { mp_exch(U1, &u1); } - if (U2 != NULL) { mp_exch(U2, &u2); } - if (U3 != NULL) { mp_exch(U3, &u3); } - - err = MP_OKAY; -LBL_ERR: - mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_exteuclid.c */ - -/* Start: bn_mp_fread.c */ -#include -#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 - */ - -#ifndef LTM_NO_FILE -/* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) -{ - int err, ch, neg, y; - - /* clear a */ - mp_zero(a); - - /* if first digit is - then set negative */ - ch = fgetc(stream); - if (ch == '-') { - neg = MP_NEG; - ch = fgetc(stream); - } else { - neg = MP_ZPOS; - } - - for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } - } - if (y == radix) { - break; - } - - /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { - return err; - } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { - return err; - } - - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0) != MP_EQ) { - a->sign = neg; - } - - return MP_OKAY; -} -#endif - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_fread.c */ - -/* Start: bn_mp_fwrite.c */ -#include -#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 - */ - -#ifndef LTM_NO_FILE -int mp_fwrite(mp_int *a, int radix, FILE *stream) -{ - char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; - } - - buf = OPT_CAST(char) XMALLOC (len); - if (buf == NULL) { - return MP_MEM; - } - - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE (buf); - return err; - } - - for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { - XFREE (buf); - return MP_VAL; - } - } - - XFREE (buf); - return MP_OKAY; -} -#endif - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_fwrite.c */ - -/* Start: bn_mp_gcd.c */ -#include -#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 - */ - -/* Greatest Common Divisor using the binary method */ -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int u, v; - int k, u_lsb, v_lsb, res; - - /* either zero than gcd is the largest */ - if (mp_iszero (a) == MP_YES) { - return mp_abs (b, c); - } - if (mp_iszero (b) == MP_YES) { - return mp_abs (a, c); - } - - /* get copies of a and b we can modify */ - if ((res = mp_init_copy (&u, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto LBL_U; - } - - /* must be positive for the remainder of the algorithm */ - u.sign = v.sign = MP_ZPOS; - - /* B1. Find the common power of two for u and v */ - u_lsb = mp_cnt_lsb(&u); - v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); - - if (k > 0) { - /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* divide any remaining factors of two out */ - if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - while (mp_iszero(&v) == MP_NO) { - /* make sure v is the largest */ - if (mp_cmp_mag(&u, &v) == MP_GT) { - /* swap u and v to make sure v is >= u */ - mp_exch(&u, &v); - } - - /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_V; - } - - /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto LBL_V; - } - c->sign = MP_ZPOS; - res = MP_OKAY; -LBL_V:mp_clear (&u); -LBL_U:mp_clear (&v); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_gcd.c */ - -/* Start: bn_mp_get_int.c */ -#include -#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(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: $Format:%ai$ */ - -/* End: bn_mp_get_int.c */ - -/* Start: bn_mp_get_long.c */ -#include -#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(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 - -/* End: bn_mp_get_long.c */ - -/* Start: bn_mp_get_long_long.c */ -#include -#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 (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 - -/* End: bn_mp_get_long_long.c */ - -/* Start: bn_mp_grow.c */ -#include -#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 - */ - -/* grow as required */ -int mp_grow (mp_int * a, int size) -{ - int i; - mp_digit *tmp; - - /* if the alloc size is smaller alloc more ram */ - if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* reallocate the array a->dp - * - * We store the return in a temporary variable - * in case the operation failed we don't want - * to overwrite the dp member of a. - */ - tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); - if (tmp == NULL) { - /* reallocation failed but "a" is still valid [can be freed] */ - return MP_MEM; - } - - /* reallocation succeeded so set a->dp */ - a->dp = tmp; - - /* zero excess digits */ - i = a->alloc; - a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_grow.c */ - -/* Start: bn_mp_import.c */ -#include -#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] == 4) ? -1 : 1; - } - - odd_nails = (nails % 8); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); - } - nail_bytes = nails / 8; - - for (i = 0; i < count; ++i) { - for (j = 0; j < (size - nail_bytes); ++j) { - unsigned char byte = *( - (unsigned char*)op + - (((order == 1) ? i : ((count - 1) - i)) * size) + - ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) - ); - - if ( - (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { - return result; - } - - rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; - rop->used += 1; - } - } - - mp_clamp(rop); - - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_import.c */ - -/* Start: bn_mp_init.c */ -#include -#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 - */ - -/* init a new mp_int */ -int mp_init (mp_int * a) -{ - int i; - - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - - /* set the used to zero, allocated digits to the default precision - * and sign to positive */ - a->used = 0; - a->alloc = MP_PREC; - a->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_init.c */ - -/* Start: bn_mp_init_copy.c */ -#include -#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 - */ - -/* creates "a" then copies b into it */ -int mp_init_copy (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_init_size (a, b->used)) != MP_OKAY) { - return res; - } - - if((res = mp_copy (b, a)) != MP_OKAY) { - mp_clear(a); - } - - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_init_copy.c */ - -/* Start: bn_mp_init_multi.c */ -#include -#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 - */ -#include - -int mp_init_multi(mp_int *mp, ...) -{ - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ - int n = 0; /* Number of ok inits */ - mp_int* cur_arg = mp; - va_list args; - - va_start(args, mp); /* init args to next argument from caller */ - while (cur_arg != NULL) { - if (mp_init(cur_arg) != MP_OKAY) { - /* Oops - error! Back-track and mp_clear what we already - succeeded in init-ing, then return error. - */ - va_list clean_args; - - /* now start cleaning up */ - cur_arg = mp; - va_start(clean_args, mp); - while (n-- != 0) { - mp_clear(cur_arg); - cur_arg = va_arg(clean_args, mp_int*); - } - va_end(clean_args); - res = MP_MEM; - break; - } - n++; - cur_arg = va_arg(args, mp_int*); - } - va_end(args); - return res; /* Assumed ok, if error flagged above. */ -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_init_multi.c */ - -/* Start: bn_mp_init_set.c */ -#include -#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 - */ - -/* initialize and set a digit */ -int mp_init_set (mp_int * a, mp_digit b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - mp_set(a, b); - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_init_set.c */ - -/* Start: bn_mp_init_set_int.c */ -#include -#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: $Format:%ai$ */ - -/* End: bn_mp_init_set_int.c */ - -/* Start: bn_mp_init_size.c */ -#include -#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 - */ - -/* init an mp_init for a given size */ -int mp_init_size (mp_int * a, int size) -{ - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the members */ - a->used = 0; - a->alloc = size; - a->sign = MP_ZPOS; - - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_init_size.c */ - -/* Start: bn_mp_invmod.c */ -#include -#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 - */ - -/* hac 14.61, pp608 */ -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - /* b cannot be negative */ - if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { - 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) && (mp_cmp_d(b, 1) != MP_EQ)) { - return fast_mp_invmod (a, b, c); - } -#endif - -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#else - return MP_VAL; -#endif -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_invmod.c */ - -/* Start: bn_mp_invmod_slow.c */ -#include -#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 (mp_int * a, 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, 1); - mp_set (&D, 1); - -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, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto 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: $Format:%ai$ */ - -/* End: bn_mp_invmod_slow.c */ - -/* Start: bn_mp_is_square.c */ -#include -#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 - */ - -/* Check if remainders are possible squares - fast exclude non-squares */ -static const char rem_128[128] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 -}; - -static const char rem_105[105] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, - 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, - 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 -}; - -/* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) -{ - int res; - mp_digit c; - mp_int t; - unsigned long r; - - /* Default to Non-square :) */ - *ret = MP_NO; - - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* digits used? (TSD) */ - if (arg->used == 0) { - return MP_OKAY; - } - - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg,0)] == 1) { - return MP_OKAY; - } - - /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { - return res; - } - if (rem_105[c] == 1) { - return MP_OKAY; - } - - - if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; - } - if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { - goto ERR; - } - r = mp_get_int(&t); - /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ - if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; - if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; - if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; - if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; - if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; - if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; - if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; - - /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&t,&t)) != MP_OKAY) { - goto ERR; - } - - *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; -ERR:mp_clear(&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_is_square.c */ - -/* Start: bn_mp_jacobi.c */ -#include -#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 (mp_int * a, 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, 0) != 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, 1) == MP_EQ) { - *c = 1; - } else { - *c = 0; - } - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d (a, 1) == 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 ((k & 1) == 0) { - 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] & 7; - - if ((residue == 1) || (residue == 7)) { - s = 1; - } else if ((residue == 3) || (residue == 5)) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d (&a1, 1) == 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: $Format:%ai$ */ - -/* End: bn_mp_jacobi.c */ - -/* Start: bn_mp_karatsuba_mul.c */ -#include -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1+b1)(a0+b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN (a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size (&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size (&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size (&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size (&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - int x; - mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp (&x0); - mp_clamp (&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1+x0 and y1+y0 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ - - /* add x0y0 */ - if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))< -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr (mp_int * a, mp_int * b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size (&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size (&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - int x; - mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp (&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr (&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr (&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1+x0)**2 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr (&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))< -#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 - */ - -/* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t1, t2; - - - if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { - return res; - } - - /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto LBL_T; - } - - /* divide the smallest by the GCD */ - if (mp_cmp_mag(a, b) == MP_LT) { - /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(b, &t2, c); - } else { - /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(a, &t2, c); - } - - /* fix the sign to positive */ - c->sign = MP_ZPOS; - -LBL_T: - mp_clear_multi (&t1, &t2, NULL); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_lcm.c */ - -/* Start: bn_mp_lshd.c */ -#include -#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 - */ - -/* shift left a certain amount of digits */ -int mp_lshd (mp_int * a, int b) -{ - int x, res; - - /* if its less than zero return */ - if (b <= 0) { - return MP_OKAY; - } - - /* grow to fit the new digits */ - if (a->alloc < (a->used + b)) { - if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { - return res; - } - } - - { - mp_digit *top, *bottom; - - /* increment the used by the shift amount then copy upwards */ - a->used += b; - - /* top */ - top = a->dp + a->used - 1; - - /* base */ - bottom = (a->dp + a->used - 1) - b; - - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } - - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_lshd.c */ - -/* Start: bn_mp_mod.c */ -#include -#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 - */ - -/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ -int -mp_mod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int t; - int res; - - if ((res = mp_init_size (&t, b->used)) != MP_OKAY) { - return res; - } - - if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { - res = MP_OKAY; - mp_exch (&t, c); - } else { - res = mp_add (b, &t, c); - } - - mp_clear (&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mod.c */ - -/* Start: bn_mp_mod_2d.c */ -#include -#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 - */ - -/* calc a value mod 2**b */ -int -mp_mod_2d (mp_int * a, int b, mp_int * c) -{ - int x, res; - - /* if b is <= 0 then zero the int */ - if (b <= 0) { - mp_zero (c); - return MP_OKAY; - } - - /* if the modulus is larger than the value than return */ - if (b >= (int) (a->used * DIGIT_BIT)) { - res = mp_copy (a, c); - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - - /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } - /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mod_2d.c */ - -/* Start: bn_mp_mod_d.c */ -#include -#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 - */ - -int -mp_mod_d (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: $Format:%ai$ */ - -/* End: bn_mp_mod_d.c */ - -/* Start: bn_mp_montgomery_calc_normalization.c */ -#include -#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 - */ - -/* - * shifts with subtractions when the result is greater than b. - * - * The method is slightly modified to shift B unconditionally upto just under - * the leading bit of b. This saves alot of multiple precision shifting. - */ -int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) -{ - int x, bits, res; - - /* how many bits of last digit does b use */ - bits = mp_count_bits (b) % DIGIT_BIT; - - if (b->used > 1) { - if ((res = mp_2expt (a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { - return res; - } - } else { - mp_set(a, 1); - bits = 1; - } - - - /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2 (a, a)) != MP_OKAY) { - return res; - } - if (mp_cmp_mag (a, b) != MP_LT) { - if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { - return res; - } - } - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_montgomery_calc_normalization.c */ - -/* Start: bn_mp_montgomery_reduce.c */ -#include -#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 - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int -mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, digs; - mp_digit mu; - - /* can the fast reduction [comba] method be used? - * - * Note that unlike in mul you're safely allowed *less* - * than the available columns [255 per default] since carries - * are fixed up in the inner loop. - */ - digs = (n->used * 2) + 1; - if ((digs < MP_WARRAY) && - (n->used < - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - return fast_mp_montgomery_reduce (x, n, rho); - } - - /* grow the input as required */ - if (x->alloc < digs) { - if ((res = mp_grow (x, digs)) != MP_OKAY) { - return res; - } - } - x->used = digs; - - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * rho mod b - * - * The value of rho must be precalculated via - * montgomery_setup() such that - * it equals -1/n0 mod b this allows the - * following inner loop to reduce the - * input one digit at a time - */ - mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); - - /* a = a + mu * m * b**i */ - { - int iy; - mp_digit *tmpn, *tmpx, u; - mp_word r; - - /* alias for digits of the modulus */ - tmpn = n->dp; - - /* alias for the digits of x [the input] */ - tmpx = x->dp + ix; - - /* set the carry to zero */ - u = 0; - - /* Multiply and add in place */ - for (iy = 0; iy < n->used; iy++) { - /* compute product and sum */ - r = ((mp_word)mu * (mp_word)*tmpn++) + - (mp_word) u + (mp_word) *tmpx; - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); - } - /* At this point the ix'th digit of x should be zero */ - - - /* propagate carries upwards as required*/ - while (u != 0) { - *tmpx += u; - u = *tmpx >> DIGIT_BIT; - *tmpx++ &= MP_MASK; - } - } - } - - /* at this point the n.used'th least - * significant digits of x are all zero - * which means we can shift x to the - * right by n.used digits and the - * residue is unchanged. - */ - - /* x = x/b**n.used */ - mp_clamp(x); - mp_rshd (x, n->used); - - /* if x >= n then x = x - n */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_montgomery_reduce.c */ - -/* Start: bn_mp_montgomery_setup.c */ -#include -#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 - */ - -/* setups the montgomery reduction stuff */ -int -mp_montgomery_setup (mp_int * n, mp_digit * rho) -{ - mp_digit x, b; - -/* fast inversion mod 2**k - * - * Based on the fact that - * - * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) - * => 2*X*A - X*X*A*A = 1 - * => 2*(1) - (1) = 1 - */ - b = n->dp[0]; - - if ((b & 1) == 0) { - return MP_VAL; - } - - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ -#if !defined(MP_8BIT) - x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ -#endif -#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ -#endif -#ifdef MP_64BIT - x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ -#endif - - /* rho = -1/m mod b */ - *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_montgomery_setup.c */ - -/* Start: bn_mp_mul.c */ -#include -#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 - */ - -/* high level multiplication (handles sign) */ -int mp_mul (mp_int * a, mp_int * b, mp_int * c) -{ - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul (a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && - (MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - res = fast_s_mp_mul_digs (a, b, c, digs); - } else -#endif - { -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - } - } - c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mul.c */ - -/* Start: bn_mp_mul_2.c */ -#include -#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 - */ - -/* b = a*2 */ -int mp_mul_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* grow to accomodate result */ - if (b->alloc < (a->used + 1)) { - if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - - { - mp_digit r, rr, *tmpa, *tmpb; - - /* alias for source */ - tmpa = a->dp; - - /* alias for dest */ - tmpb = b->dp; - - /* carry */ - r = 0; - for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit - */ - rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - - /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration - */ - r = rr; - } - - /* new leading digit? */ - if (r != 0) { - /* add a MSB which is always 1 at this point */ - *tmpb = 1; - ++(b->used); - } - - /* now zero any excess digits on the destination - * that we didn't write to - */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mul_2.c */ - -/* Start: bn_mp_mul_2d.c */ -#include -#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 - */ - -/* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) -{ - mp_digit d; - int res; - - /* copy */ - if (a != c) { - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - } - - if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { - if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { - return res; - } - } - - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit) (b % DIGIT_BIT); - if (d != 0) { - mp_digit *tmpc, shift, mask, r, rr; - int x; - - /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; - - /* shift for msbs */ - shift = DIGIT_BIT - d; - - /* alias */ - tmpc = c->dp; - - /* carry */ - r = 0; - for (x = 0; x < c->used; x++) { - /* get the higher bits of the current word */ - rr = (*tmpc >> shift) & mask; - - /* shift the current word and OR in the carry */ - *tmpc = ((*tmpc << d) | r) & MP_MASK; - ++tmpc; - - /* set the carry to the carry bits of the current word */ - r = rr; - } - - /* set final carry */ - if (r != 0) { - c->dp[(c->used)++] = r; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mul_2d.c */ - -/* Start: bn_mp_mul_d.c */ -#include -#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 - */ - -/* multiply by a digit */ -int -mp_mul_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit u, *tmpa, *tmpc; - mp_word r; - int ix, res, olduse; - - /* make sure c is big enough to hold a*b */ - if (c->alloc < (a->used + 1)) { - if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* get the original destinations used count */ - olduse = c->used; - - /* set the sign */ - c->sign = a->sign; - - /* alias for a->dp [source] */ - tmpa = a->dp; - - /* alias for c->dp [dest] */ - tmpc = c->dp; - - /* zero carry */ - u = 0; - - /* compute columns */ - for (ix = 0; ix < a->used; ix++) { - /* compute product and carry sum for this term */ - r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); - - /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* send carry into next iteration */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - - /* store final carry [if any] and increment ix offset */ - *tmpc++ = u; - ++ix; - - /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } - - /* set used count */ - c->used = a->used + 1; - mp_clamp(c); - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mul_d.c */ - -/* Start: bn_mp_mulmod.c */ -#include -#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 - */ - -/* d = a * b (mod c) */ -int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init_size (&t, c->used)) != MP_OKAY) { - return res; - } - - if ((res = mp_mul (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_mulmod.c */ - -/* Start: bn_mp_n_root.c */ -#include -#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 (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: $Format:%ai$ */ - -/* End: bn_mp_n_root.c */ - -/* Start: bn_mp_n_root_ex.c */ -#include -#ifdef BN_MP_N_ROOT_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if (((b & 1) == 0) && (a->sign == MP_NEG)) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_n_root_ex.c */ - -/* Start: bn_mp_neg.c */ -#include -#ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* b = -a */ -int mp_neg (mp_int * a, mp_int * b) -{ - int res; - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - if (mp_iszero(b) != MP_YES) { - b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } else { - b->sign = MP_ZPOS; - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_neg.c */ - -/* Start: bn_mp_or.c */ -#include -#ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* OR two ints together */ -int mp_or (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_or.c */ - -/* Start: bn_mp_prime_fermat.c */ -#include -#ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* performs one Fermat test. - * - * If "a" were prime then b**a == b (mod a) since the order of - * the multiplicative sub-group would be phi(a) = a-1. That means - * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). - * - * Sets result to 1 if the congruence holds, or zero otherwise. - */ -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -{ - mp_int t; - int err; - - /* default to composite */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* init t */ - if ((err = mp_init (&t)) != MP_OKAY) { - return err; - } - - /* compute t = b**a mod a */ - if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto LBL_T; - } - - /* is it equal to b? */ - if (mp_cmp (&t, b) == MP_EQ) { - *result = MP_YES; - } - - err = MP_OKAY; -LBL_T:mp_clear (&t); - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_fermat.c */ - -/* Start: bn_mp_prime_is_divisible.c */ -#include -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible (mp_int * a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_is_divisible.c */ - -/* Start: bn_mp_prime_is_prime.c */ -#include -#ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than - - * - * Sets result to 1 if probably prime, 0 otherwise - */ -int mp_prime_is_prime (mp_int * a, int t, int *result) -{ - mp_int b; - int ix, err, res; - - /* default to no */ - *result = MP_NO; - - /* valid value of t? */ - if ((t <= 0) || (t > PRIME_SIZE)) { - return MP_VAL; - } - - /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; - return MP_OKAY; - } - } - - /* first perform trial division */ - if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { - return err; - } - - /* return if it was trivially divisible */ - if (res == MP_YES) { - return MP_OKAY; - } - - /* now perform the miller-rabin rounds */ - if ((err = mp_init (&b)) != MP_OKAY) { - return err; - } - - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set (&b, ltm_prime_tab[ix]); - - if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto LBL_B; - } - - if (res == MP_NO) { - goto LBL_B; - } - } - - /* passed the test */ - *result = MP_YES; -LBL_B:mp_clear (&b); - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_is_prime.c */ - -/* Start: bn_mp_prime_miller_rabin.c */ -#include -#ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* Miller-Rabin test of "a" to the base of "b" as described in - * HAC pp. 139 Algorithm 4.24 - * - * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often - * very much lower. - */ -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -{ - mp_int n1, y, r; - int s, j, err; - - /* default */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* get n1 = a - 1 */ - if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { - return err; - } - if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* set 2**s * r = n1 */ - if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* count the number of least significant bits - * which are zero - */ - s = mp_cnt_lsb(&r); - - /* now divide n - 1 by 2**s */ - if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto LBL_R; - } - - /* compute y = b**r mod a */ - if ((err = mp_init (&y)) != MP_OKAY) { - goto LBL_R; - } - if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y != 1 and y != n1 do */ - if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) { - j = 1; - /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) { - if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y == 1 then composite */ - if (mp_cmp_d (&y, 1) == MP_EQ) { - goto LBL_Y; - } - - ++j; - } - - /* if y != n1 then composite */ - if (mp_cmp (&y, &n1) != MP_EQ) { - goto LBL_Y; - } - } - - /* probably prime now */ - *result = MP_YES; -LBL_Y:mp_clear (&y); -LBL_R:mp_clear (&r); -LBL_N1:mp_clear (&n1); - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_miller_rabin.c */ - -/* Start: bn_mp_prime_next_prime.c */ -#include -#ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -{ - int err, res = MP_NO, x, y; - mp_digit res_tab[PRIME_SIZE], step, kstep; - mp_int b; - - /* ensure t is valid */ - if ((t <= 0) || (t > PRIME_SIZE)) { - return MP_VAL; - } - - /* force positive */ - a->sign = MP_ZPOS; - - /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { - /* find which prime it is bigger than */ - for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { - if (bbs_style == 1) { - /* ok we found a prime smaller or - * equal [so the next is larger] - * - * however, the prime must be - * congruent to 3 mod 4 - */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { - /* scan upwards for a prime congruent to 3 mod 4 */ - for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { - mp_set(a, ltm_prime_tab[y]); - return MP_OKAY; - } - } - } - } else { - mp_set(a, ltm_prime_tab[x + 1]); - return MP_OKAY; - } - } - } - /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); - return MP_OKAY; - } - /* fall through to the sieve */ - } - - /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ - if (bbs_style == 1) { - kstep = 4; - } else { - kstep = 2; - } - - /* at this point we will use a combination of a sieve and Miller-Rabin */ - - if (bbs_style == 1) { - /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; - } - } else { - if (mp_iseven(a) == MP_YES) { - /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { - return err; - } - } - } - - /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { - return err; - } - } - - /* init temp used for Miller-Rabin Testing */ - if ((err = mp_init(&b)) != MP_OKAY) { - return err; - } - - for (;;) { - /* skip to the next non-trivially divisible candidate */ - step = 0; - do { - /* y == 1 if any residue was zero [e.g. cannot be prime] */ - y = 0; - - /* increase step to next candidate */ - step += kstep; - - /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { - /* add the step to each residue */ - res_tab[x] += kstep; - - /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; - } - - /* set flag if zero */ - if (res_tab[x] == 0) { - y = 1; - } - } - } while ((y == 1) && (step < ((((mp_digit)1) << DIGIT_BIT) - kstep))); - - /* add the step */ - if ((err = mp_add_d(a, step, a)) != MP_OKAY) { - goto LBL_ERR; - } - - /* if didn't pass sieve and step == MAX then skip test */ - if ((y == 1) && (step >= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { - continue; - } - - /* is this prime? */ - for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[x]); - if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { - goto LBL_ERR; - } - if (res == MP_NO) { - break; - } - } - - if (res == MP_YES) { - break; - } - } - - err = MP_OKAY; -LBL_ERR: - mp_clear(&b); - return err; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_next_prime.c */ - -/* Start: bn_mp_prime_rabin_miller_trials.c */ -#include -#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * 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 k, t; -} sizes[] = { -{ 128, 28 }, -{ 256, 16 }, -{ 384, 10 }, -{ 512, 7 }, -{ 640, 6 }, -{ 768, 5 }, -{ 896, 4 }, -{ 1024, 4 } -}; - -/* returns # of RM trials required for a given bit size */ -int mp_prime_rabin_miller_trials(int size) -{ - int x; - - for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { - if (sizes[x].k == size) { - return sizes[x].t; - } else if (sizes[x].k > size) { - return (x == 0) ? sizes[0].t : sizes[x - 1].t; - } - } - return sizes[x-1].t + 1; -} - - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_rabin_miller_trials.c */ - -/* Start: bn_mp_prime_random_ex.c */ -#include -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if ((size <= 1) || (t <= 0)) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if ((flags & LTM_PRIME_SAFE) != 0) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if ((flags & LTM_PRIME_2MSB_ON) != 0) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if ((flags & LTM_PRIME_BBS) != 0) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { - continue; - } - - if ((flags & LTM_PRIME_SAFE) != 0) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - } - } while (res == MP_NO); - - if ((flags & LTM_PRIME_SAFE) != 0) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_prime_random_ex.c */ - -/* Start: bn_mp_radix_size.c */ -#include -#ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* returns size of ASCII reprensentation */ -int mp_radix_size (mp_int * a, int radix, int *size) -{ - int res, digs; - mp_int t; - mp_digit d; - - *size = 0; - - /* make sure the radix is in range */ - if ((radix < 2) || (radix > 64)) { - return MP_VAL; - } - - if (mp_iszero(a) == MP_YES) { - *size = 2; - return MP_OKAY; - } - - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; - return MP_OKAY; - } - - /* digs is the digit count */ - digs = 0; - - /* if it's negative add one for the sign */ - if (a->sign == MP_NEG) { - ++digs; - } - - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* force temp to positive */ - t.sign = MP_ZPOS; - - /* fetch out all of the digits */ - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - ++digs; - } - mp_clear (&t); - - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_radix_size.c */ - -/* Start: bn_mp_radix_smap.c */ -#include -#ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_radix_smap.c */ - -/* Start: bn_mp_rand.c */ -#include -#ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -#if MP_GEN_RANDOM_MAX == 0xffffffff - #define MP_GEN_RANDOM_SHIFT 32 -#elif MP_GEN_RANDOM_MAX == 32767 - /* SHRT_MAX */ - #define MP_GEN_RANDOM_SHIFT 15 -#elif MP_GEN_RANDOM_MAX == 2147483647 - /* INT_MAX */ - #define MP_GEN_RANDOM_SHIFT 31 -#elif !defined(MP_GEN_RANDOM_SHIFT) -#error Thou shalt define their own valid MP_GEN_RANDOM_SHIFT -#endif - -/* makes a pseudo-random int of a given size */ -static mp_digit s_gen_random(void) -{ - mp_digit d = 0, msk = 0; - do { - d <<= MP_GEN_RANDOM_SHIFT; - d |= ((mp_digit) MP_GEN_RANDOM()); - msk <<= MP_GEN_RANDOM_SHIFT; - msk |= (MP_MASK & MP_GEN_RANDOM_MAX); - } while ((MP_MASK & msk) != MP_MASK); - d &= MP_MASK; - return d; -} - -int -mp_rand (mp_int * a, int digits) -{ - int res; - mp_digit d; - - mp_zero (a); - if (digits <= 0) { - return MP_OKAY; - } - - /* first place a random non-zero digit */ - do { - d = s_gen_random(); - } while (d == 0); - - if ((res = mp_add_d (a, d, a)) != MP_OKAY) { - return res; - } - - while (--digits > 0) { - if ((res = mp_lshd (a, 1)) != MP_OKAY) { - return res; - } - - if ((res = mp_add_d (a, s_gen_random(), a)) != MP_OKAY) { - return res; - } - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_rand.c */ - -/* Start: bn_mp_read_radix.c */ -#include -#ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, const char *str, int radix) -{ - int y, res, neg; - char ch; - - /* zero the digit bignum */ - mp_zero(a); - - /* make sure the radix is ok */ - if ((radix < 2) || (radix > 64)) { - return MP_VAL; - } - - /* if the leading digit is a - * minus set the sign to negative. - */ - if (*str == '-') { - ++str; - neg = MP_NEG; - } else { - neg = MP_ZPOS; - } - - /* set the integer to the default of zero */ - mp_zero (a); - - /* process each digit of the string */ - while (*str != '\0') { - /* if the radix <= 36 the conversion is case insensitive - * this allows numbers like 1AB and 1ab to represent the same value - * [e.g. in hex] - */ - ch = (radix <= 36) ? (char)toupper((int)*str) : *str; - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } - } - - /* if the char was found in the map - * and is less than the given radix add it - * to the number, otherwise exit the loop. - */ - if (y < radix) { - if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { - return res; - } - } else { - break; - } - ++str; - } - - /* set the sign only if a != 0 */ - if (mp_iszero(a) != MP_YES) { - a->sign = neg; - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_read_radix.c */ - -/* Start: bn_mp_read_signed_bin.c */ -#include -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_read_signed_bin.c */ - -/* Start: bn_mp_read_unsigned_bin.c */ -#include -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero (a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; -#endif - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_read_unsigned_bin.c */ - -/* Start: bn_mp_reduce.c */ -#include -#ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* reduces x mod m, assumes 0 < x < m**2, mu is - * precomputed via mp_reduce_setup. - * From HAC pp.604 Algorithm 14.42 - */ -int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) -{ - mp_int q; - int res, um = m->used; - - /* q = x */ - if ((res = mp_init_copy (&q, x)) != MP_OKAY) { - return res; - } - - /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); - - /* according to HAC this optimization is ok */ - if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { - if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { - goto CLEANUP; - } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif - } - - /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); - - /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { - goto CLEANUP; - } - - /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { - goto CLEANUP; - } - - /* x = x - q */ - if ((res = mp_sub (x, &q, x)) != MP_OKAY) { - goto CLEANUP; - } - - /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d (x, 0) == MP_LT) { - mp_set (&q, 1); - if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if ((res = mp_add (x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while (mp_cmp (x, m) != MP_LT) { - if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { - goto CLEANUP; - } - } - -CLEANUP: - mp_clear (&q); - - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce.c */ - -/* Start: bn_mp_reduce_2k.c */ -#include -#ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (d != 1) { - /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { - goto ERR; - } - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_2k.c */ - -/* Start: bn_mp_reduce_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* reduces a modulo n where n is of the form 2**p - d - This differs from reduce_2k since "d" can be larger - than a single digit. -*/ -int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { - goto ERR; - } - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_2k_l.c */ - -/* Start: bn_mp_reduce_2k_setup.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* determines the setup value */ -int mp_reduce_2k_setup(mp_int *a, mp_digit *d) -{ - int res, p; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - *d = tmp.dp[0]; - mp_clear(&tmp); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_2k_setup.c */ - -/* Start: bn_mp_reduce_2k_setup_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* determines the setup value */ -int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) -{ - int res; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; - } - - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear(&tmp); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_2k_setup_l.c */ - -/* Start: bn_mp_reduce_is_2k.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(mp_int *a) -{ - int ix, iy, iw; - mp_digit iz; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - iy = mp_count_bits(a); - iz = 1; - iw = 1; - - /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { - return MP_NO; - } - iz <<= 1; - if (iz > (mp_digit)MP_MASK) { - ++iw; - iz = 1; - } - } - } - return MP_YES; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_is_2k.c */ - -/* Start: bn_mp_reduce_is_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(mp_int *a) -{ - int ix, iy; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - /* if more than half of the digits are -1 we're sold */ - for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { - ++iy; - } - } - return (iy >= (a->used/2)) ? MP_YES : MP_NO; - - } - return MP_NO; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_is_2k_l.c */ - -/* Start: bn_mp_reduce_setup.c */ -#include -#ifdef BN_MP_REDUCE_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 - */ - -/* pre-calculate the value required for Barrett reduction - * For a given modulus "b" it calulates the value required in "a" - */ -int mp_reduce_setup (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; - } - return mp_div (a, b, a, NULL); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_reduce_setup.c */ - -/* Start: bn_mp_rshd.c */ -#include -#ifdef BN_MP_RSHD_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 - */ - -/* shift right a certain amount of digits */ -void mp_rshd (mp_int * a, int b) -{ - int x; - - /* if b <= 0 then ignore it */ - if (b <= 0) { - return; - } - - /* if b > used then simply zero it and return */ - if (a->used <= b) { - mp_zero (a); - return; - } - - { - mp_digit *bottom, *top; - - /* shift the digits down */ - - /* bottom */ - bottom = a->dp; - - /* top [offset into digits] */ - top = a->dp + b; - - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } - } - - /* remove excess digits */ - a->used -= b; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_rshd.c */ - -/* Start: bn_mp_set.c */ -#include -#ifdef BN_MP_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 - */ - -/* set to a digit */ -void mp_set (mp_int * a, mp_digit b) -{ - mp_zero (a); - a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_set.c */ - -/* Start: bn_mp_set_int.c */ -#include -#ifdef BN_MP_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 - */ - -/* set a 32-bit const */ -int mp_set_int (mp_int * a, unsigned long b) -{ - int x, res; - - mp_zero (a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_set_int.c */ - -/* Start: bn_mp_set_long.c */ -#include -#ifdef BN_MP_SET_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 - */ - -/* set a platform dependent unsigned long int */ -MP_SET_XLONG(mp_set_long, unsigned long) -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_set_long.c */ - -/* Start: bn_mp_set_long_long.c */ -#include -#ifdef BN_MP_SET_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 - */ - -/* set a platform dependent unsigned long long int */ -MP_SET_XLONG(mp_set_long_long, unsigned long long) -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_set_long_long.c */ - -/* Start: bn_mp_shrink.c */ -#include -#ifdef BN_MP_SHRINK_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 - */ - -/* shrink a bignum */ -int mp_shrink (mp_int * a) -{ - mp_digit *tmp; - int used = 1; - - if(a->used > 0) { - used = a->used; - } - - if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { - return MP_MEM; - } - a->dp = tmp; - a->alloc = used; - } - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_shrink.c */ - -/* Start: bn_mp_signed_bin_size.c */ -#include -#ifdef BN_MP_SIGNED_BIN_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 - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size (mp_int * a) -{ - return 1 + mp_unsigned_bin_size (a); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_signed_bin_size.c */ - -/* Start: bn_mp_sqr.c */ -#include -#ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* computes b = a*a */ -int -mp_sqr (mp_int * a, mp_int * b) -{ - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C - if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr (a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((((a->used * 2) + 1) < MP_WARRAY) && - (a->used < - (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { - res = fast_s_mp_sqr (a, b); - } else -#endif - { -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr (a, b); -#else - res = MP_VAL; -#endif - } - } - b->sign = MP_ZPOS; - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_sqr.c */ - -/* Start: bn_mp_sqrmod.c */ -#include -#ifdef BN_MP_SQRMOD_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 - */ - -/* c = a * a (mod b) */ -int -mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sqr (a, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, b, c); - mp_clear (&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_sqrmod.c */ - -/* Start: bn_mp_sqrt.c */ -#include -#ifdef BN_MP_SQRT_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 - */ - -/* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) -{ - int res; - mp_int t1,t2; - - /* must be positive */ - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* easy out */ - if (mp_iszero(arg) == MP_YES) { - mp_zero(ret); - return MP_OKAY; - } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto E2; - } - - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); - - /* t1 > 0 */ - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* And now t1 > sqrt(arg) */ - do { - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* t1 >= sqrt(arg) >= t2 at this point */ - } while (mp_cmp_mag(&t1,&t2) == MP_GT); - - mp_exch(&t1,ret); - -E1: mp_clear(&t2); -E2: mp_clear(&t1); - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_sqrt.c */ - -/* Start: bn_mp_sqrtmod_prime.c */ -#include -#ifdef BN_MP_SQRTMOD_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library is free for all purposes without any express - * guarantee it works. - */ - -/* Tonelli-Shanks algorithm - * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm - * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html - * - */ - -int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) -{ - int res, legendre; - mp_int t1, C, Q, S, Z, M, T, R, two; - mp_digit i; - - /* first handle the simple cases */ - if (mp_cmp_d(n, 0) == MP_EQ) { - mp_zero(ret); - return MP_OKAY; - } - if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ - if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; - if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ - - if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { - return res; - } - - /* SPECIAL CASE: if prime mod 4 == 3 - * compute directly: res = n^(prime+1)/4 mod prime - * Handbook of Applied Cryptography algorithm 3.36 - */ - if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; - if (i == 3) { - if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; - goto cleanup; - } - - /* NOW: Tonelli-Shanks algorithm */ - - /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ - if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; - /* Q = prime - 1 */ - mp_zero(&S); - /* S = 0 */ - while (mp_iseven(&Q) != MP_NO) { - if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; - /* Q = Q / 2 */ - if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; - /* S = S + 1 */ - } - - /* find a Z such that the Legendre symbol (Z|prime) == -1 */ - if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; - /* Z = 2 */ - while(1) { - if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; - if (legendre == -1) break; - if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; - /* Z = Z + 1 */ - } - - if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; - /* C = Z ^ Q mod prime */ - if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - /* t1 = (Q + 1) / 2 */ - if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; - /* R = n ^ ((Q + 1) / 2) mod prime */ - if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; - /* T = n ^ Q mod prime */ - if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; - /* M = S */ - if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; - - res = MP_VAL; - while (1) { - if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; - i = 0; - while (1) { - if (mp_cmp_d(&t1, 1) == MP_EQ) break; - if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; - i++; - } - if (i == 0) { - if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; - goto cleanup; - } - if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; - /* t1 = 2 ^ (M - i - 1) */ - if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; - /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ - if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; - /* C = (t1 * t1) mod prime */ - if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; - /* R = (R * t1) mod prime */ - if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; - /* T = (T * C) mod prime */ - mp_set(&M, i); - /* M = i */ - } - -cleanup: - mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); - return res; -} - -#endif - -/* End: bn_mp_sqrtmod_prime.c */ - -/* Start: bn_mp_sub.c */ -#include -#ifdef BN_MP_SUB_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 - */ - -/* high level subtraction (handles signs) */ -int -mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - sa = a->sign; - sb = b->sign; - - if (sa != sb) { - /* subtract a negative from a positive, OR */ - /* subtract a positive from a negative. */ - /* In either case, ADD their magnitudes, */ - /* and use the sign of the first number. */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* subtract a positive from a positive, OR */ - /* subtract a negative from a negative. */ - /* First, take the difference between their */ - /* magnitudes, then... */ - if (mp_cmp_mag (a, b) != MP_LT) { - /* Copy the sign from the first */ - c->sign = sa; - /* The first has a larger or equal magnitude */ - res = s_mp_sub (a, b, c); - } else { - /* The result has the *opposite* sign from */ - /* the first number. */ - c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; - /* The second has a larger magnitude */ - res = s_mp_sub (b, a, c); - } - } - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_sub.c */ - -/* Start: bn_mp_sub_d.c */ -#include -#ifdef BN_MP_SUB_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 - */ - -/* single digit subtraction */ -int -mp_sub_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; - - /* grow c as required */ - if (c->alloc < (a->used + 1)) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative just do an unsigned - * addition [with fudged signs] - */ - if (a->sign == MP_NEG) { - a->sign = MP_ZPOS; - res = mp_add_d(a, b, c); - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* setup regs */ - oldused = c->used; - tmpa = a->dp; - tmpc = c->dp; - - /* if a <= b simply fix the single digit */ - if (((a->used == 1) && (a->dp[0] <= b)) || (a->used == 0)) { - if (a->used == 1) { - *tmpc++ = b - *tmpa; - } else { - *tmpc++ = b; - } - ix = 1; - - /* negative/1digit */ - c->sign = MP_NEG; - c->used = 1; - } else { - /* positive/size */ - c->sign = MP_ZPOS; - c->used = a->used; - - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ - mu; - mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); - *tmpc++ &= MP_MASK; - } - } - - /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_sub_d.c */ - -/* Start: bn_mp_submod.c */ -#include -#ifdef BN_MP_SUBMOD_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 - */ - -/* d = a - b (mod c) */ -int -mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sub (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_submod.c */ - -/* Start: bn_mp_to_signed_bin.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin (mp_int * a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_to_signed_bin.c */ - -/* Start: bn_mp_to_signed_bin_n.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_to_signed_bin_n.c */ - -/* Start: bn_mp_to_unsigned_bin.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin (mp_int * a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero (&t) == MP_NO) { -#ifndef MP_8BIT - b[x++] = (unsigned char) (t.dp[0] & 255); -#else - b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); -#endif - if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - bn_reverse (b, x); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_to_unsigned_bin.c */ - -/* Start: bn_mp_to_unsigned_bin_n.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_to_unsigned_bin_n.c */ - -/* Start: bn_mp_toom_mul.c */ -#include -#ifdef BN_MP_TOOM_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 - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b1, B); - (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_toom_mul.c */ - -/* Start: bn_mp_toom_sqr.c */ -#include -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int -mp_toom_sqr(mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_toom_sqr.c */ - -/* Start: bn_mp_toradix.c */ -#include -#ifdef BN_MP_TORADIX_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 - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix (mp_int * a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if ((radix < 2) || (radix > 64)) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_toradix.c */ - -/* Start: bn_mp_toradix_n.c */ -#include -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if ((maxlen < 2) || (radix < 2) || (radix > 64)) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero (&t) == MP_NO) { - if (--maxlen < 1) { - /* no more room */ - break; - } - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_toradix_n.c */ - -/* Start: bn_mp_unsigned_bin_size.c */ -#include -#ifdef BN_MP_UNSIGNED_BIN_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 - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size (mp_int * a) -{ - int size = mp_count_bits (a); - return (size / 8) + (((size & 7) != 0) ? 1 : 0); -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_unsigned_bin_size.c */ - -/* Start: bn_mp_xor.c */ -#include -#ifdef BN_MP_XOR_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 - */ - -/* XOR two ints together */ -int -mp_xor (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_xor.c */ - -/* Start: bn_mp_zero.c */ -#include -#ifdef BN_MP_ZERO_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 - */ - -/* set to zero */ -void mp_zero (mp_int * a) -{ - int n; - mp_digit *tmp; - - a->sign = MP_ZPOS; - a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_mp_zero.c */ - -/* Start: bn_prime_tab.c */ -#include -#ifdef BN_PRIME_TAB_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 - */ -const mp_digit ltm_prime_tab[] = { - 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, - 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, - 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, - 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, -#ifndef MP_8BIT - 0x0083, - 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, - 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, - 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, - 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, - - 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, - 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, - 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, - 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, - 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, - 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, - 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, - 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, - - 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, - 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, - 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, - 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, - 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, - 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, - 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, - 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, - - 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, - 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, - 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, - 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, - 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, - 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, - 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, - 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 -#endif -}; -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_prime_tab.c */ - -/* Start: bn_reverse.c */ -#include -#ifdef BN_REVERSE_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 - */ - -/* reverse an array, used for radix code */ -void -bn_reverse (unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_reverse.c */ - -/* Start: bn_s_mp_add.c */ -#include -#ifdef BN_S_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 - */ - -/* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int -s_mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int *x; - int olduse, res, min, max; - - /* find sizes, we let |a| <= |b| which means we have to sort - * them. "x" will point to the input with the most digits - */ - if (a->used > b->used) { - min = b->used; - max = a->used; - x = a; - } else { - min = a->used; - max = b->used; - x = b; - } - - /* init result */ - if (c->alloc < (max + 1)) { - if ((res = mp_grow (c, max + 1)) != MP_OKAY) { - return res; - } - } - - /* get old used digit count and set new one */ - olduse = c->used; - c->used = max + 1; - - { - mp_digit u, *tmpa, *tmpb, *tmpc; - int i; - - /* alias for digit pointers */ - - /* first input */ - tmpa = a->dp; - - /* second input */ - tmpb = b->dp; - - /* destination */ - tmpc = c->dp; - - /* zero the carry */ - u = 0; - for (i = 0; i < min; i++) { - /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ - *tmpc = *tmpa++ + *tmpb++ + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in - */ - if (min != max) { - for (; i < max; i++) { - /* T[i] = X[i] + U */ - *tmpc = x->dp[i] + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - } - - /* add carry */ - *tmpc++ = u; - - /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_add.c */ - -/* Start: bn_s_mp_exptmod.c */ -#include -#ifdef BN_S_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 - */ -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res, mu; - mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int*,mp_int*,mp_int*); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* create mu, used for Barrett reduction */ - if ((err = mp_init (&mu)) != MP_OKAY) { - goto LBL_M; - } - - if (redmode == 0) { - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce; - } else { - if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce_2k_l; - } - - /* create M table - * - * The M table contains powers of the base, - * e.g. M[x] = G**x mod P - * - * The first half of the table is not - * computed though accept for M[0] and M[1] - */ - if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } - - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times - */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - for (x = 0; x < (winsize - 1); x++) { - /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - /* reduce modulo P */ - if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) - * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) - */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_MU; - } - mp_set (&res, 1); - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits */ - if (digidx == -1) { - break; - } - /* read next digit and reset the bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int) DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if ((mode == 0) && (y == 0)) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if ((mode == 1) && (y == 0)) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if ((mode == 2) && (bitcpy > 0)) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_MU:mp_clear (&mu); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_exptmod.c */ - -/* Start: bn_s_mp_mul_digs.c */ -#include -#ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how - * many digits of output are created. - */ -int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && - (MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - return fast_s_mp_mul_digs (a, b, c, digs); - } - - if ((res = mp_init_size (&t, digs)) != MP_OKAY) { - return res; - } - t.used = digs; - - /* compute the digits of the product directly */ - pa = a->used; - for (ix = 0; ix < pa; ix++) { - /* set the carry to zero */ - u = 0; - - /* limit ourselves to making digs digits of output */ - pb = MIN (b->used, digs - ix); - - /* setup some aliases */ - /* copy of the digit from a used within the nested loop */ - tmpx = a->dp[ix]; - - /* an alias for the destination shifted ix places */ - tmpt = t.dp + ix; - - /* an alias for the digits of b */ - tmpy = b->dp; - - /* compute the columns of the output and propagate the carry */ - for (iy = 0; iy < pb; iy++) { - /* compute the column as a mp_word */ - r = (mp_word)*tmpt + - ((mp_word)tmpx * (mp_word)*tmpy++) + - (mp_word)u; - - /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry word from the result */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - /* set carry if it is placed below digs */ - if ((ix + iy) < digs) { - *tmpt = u; - } - } - - mp_clamp (&t); - mp_exch (&t, c); - - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_mul_digs.c */ - -/* Start: bn_s_mp_mul_high_digs.c */ -#include -#ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* multiplies |a| * |b| and does not compute the lower digs digits - * [meant to get the higher part of the product] - */ -int -s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && (MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { - return fast_s_mp_mul_high_digs (a, b, c, digs); - } -#endif - - if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { - return res; - } - t.used = a->used + b->used + 1; - - pa = a->used; - pb = b->used; - for (ix = 0; ix < pa; ix++) { - /* clear the carry */ - u = 0; - - /* left hand side of A[ix] * B[iy] */ - tmpx = a->dp[ix]; - - /* alias to the address of where the digits will be stored */ - tmpt = &(t.dp[digs]); - - /* alias for where to read the right hand side from */ - tmpy = b->dp + (digs - ix); - - for (iy = digs - ix; iy < pb; iy++) { - /* calculate the double precision result */ - r = (mp_word)*tmpt + - ((mp_word)tmpx * (mp_word)*tmpy++) + - (mp_word)u; - - /* get the lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* carry the carry */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - *tmpt = u; - } - mp_clamp (&t); - mp_exch (&t, c); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_mul_high_digs.c */ - -/* Start: bn_s_mp_sqr.c */ -#include -#ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr (mp_int * a, mp_int * b) -{ - mp_int t; - int res, ix, iy, pa; - mp_word r; - mp_digit u, tmpx, *tmpt; - - pa = a->used; - if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) { - return res; - } - - /* default used is maximum possible size */ - t.used = (2 * pa) + 1; - - for (ix = 0; ix < pa; ix++) { - /* first calculate the digit at 2*ix */ - /* calculate double precision result */ - r = (mp_word)t.dp[2*ix] + - ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); - - /* store lower part in result */ - t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* left hand side of A[ix] * A[iy] */ - tmpx = a->dp[ix]; - - /* alias for where to store the results */ - tmpt = t.dp + ((2 * ix) + 1); - - for (iy = ix + 1; iy < pa; iy++) { - /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); - - /* now calculate the double precision result, note we use - * addition instead of *2 since it's easier to optimize - */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); - - /* store lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - } - - mp_clamp (&t); - mp_exch (&t, b); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_sqr.c */ - -/* Start: bn_s_mp_sub.c */ -#include -#ifdef BN_S_MP_SUB_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 - */ - -/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int -s_mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int olduse, res, min, max; - - /* find sizes */ - min = b->used; - max = a->used; - - /* init result */ - if (c->alloc < max) { - if ((res = mp_grow (c, max)) != MP_OKAY) { - return res; - } - } - olduse = c->used; - c->used = max; - - { - mp_digit u, *tmpa, *tmpb, *tmpc; - int i; - - /* alias for digit pointers */ - tmpa = a->dp; - tmpb = b->dp; - tmpc = c->dp; - - /* set carry to zero */ - u = 0; - for (i = 0; i < min; i++) { - /* T[i] = A[i] - B[i] - U */ - *tmpc = (*tmpa++ - *tmpb++) - u; - - /* U = carry bit of T[i] - * Note this saves performing an AND operation since - * if a carry does occur it will propagate all the way to the - * MSB. As a result a single shift is enough to get the carry - */ - u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, e.g. if A has more digits than B */ - for (; i < max; i++) { - /* T[i] = A[i] - U */ - *tmpc = *tmpa++ - u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} - -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bn_s_mp_sub.c */ - -/* Start: bncore.c */ -#include -#ifdef BNCORE_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 - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - -*/ - -int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* ref: $Format:%D$ */ -/* git commit: $Format:%H$ */ -/* commit time: $Format:%ai$ */ - -/* End: bncore.c */ - - -/* EOF */ diff --git a/testme.sh b/testme.sh index ee2e87c..a8180bd 100755 --- a/testme.sh +++ b/testme.sh @@ -27,6 +27,9 @@ _help() echo " --with-cc=* The compiler(s) to use for the tests" echo " This is an option that will be iterated." echo + echo " --test-vs-mtest=* Run test vs. mtest for '*' operations." + echo " Only the first of each options will be taken into account." + echo echo "To be able to specify options a compiler has to be given." echo "All options will be tested with all MP_xBIT configurations." echo @@ -45,6 +48,8 @@ _help() echo echo " --with-low-mp Also build&run tests with -DMP_{8,16,32}BIT." echo + echo " --mtest-real-rand Use real random data when running mtest." + echo echo "Godmode:" echo echo " --all Choose all architectures and gcc and clang as compilers" @@ -61,26 +66,35 @@ _die() exit 128 else echo "assuming timeout while running test - continue" + local _tail="" + which tail >/dev/null && _tail="tail -n 1 test_${suffix}.log" && \ + echo "last line of test_"${suffix}".log was:" && $_tail && echo "" ret=$(( $ret + 1 )) fi } -_runtest() +_make() { echo -ne " Compile $1 $2" - make clean > /dev/null suffix=$(echo ${1}${2} | tr ' ' '_') - CC="$1" CFLAGS="$2 $TEST_CFLAGS" make -j$MAKE_JOBS test_standalone $MAKE_OPTIONS > /dev/null 2>gcc_errors_${suffix}.txt - errcnt=$(wc -l < gcc_errors_${suffix}.txt) + CC="$1" CFLAGS="$2 $TEST_CFLAGS" make -j$MAKE_JOBS $3 $MAKE_OPTIONS > /dev/null 2>gcc_errors_${suffix}.log + errcnt=$(wc -l < gcc_errors_${suffix}.log) if [[ ${errcnt} -gt 1 ]]; then echo " failed" - cat gcc_errors_${suffix}.txt + cat gcc_errors_${suffix}.log exit 128 fi - echo -e "\rRun test $1 $2" +} + + +_runtest() +{ + make clean > /dev/null + _make "$1" "$2" "test_standalone" local _timeout="" which timeout >/dev/null && _timeout="timeout --foreground 90" - $_timeout ./test > test_${suffix}.txt || _die "running tests" $? + echo -e "\rRun test $1 $2" + $_timeout ./test > test_${suffix}.log || _die "running tests" $? } _banner() @@ -105,6 +119,8 @@ ARCHFLAGS="" COMPILERS="" CFLAGS="" WITH_LOW_MP="" +TEST_VS_MTEST="" +MTEST_RAND="" while [ $# -gt 0 ]; do @@ -124,6 +140,17 @@ do --with-low-mp) WITH_LOW_MP="1" ;; + --test-vs-mtest=*) + TEST_VS_MTEST="${1#*=}" + if ! [ "$TEST_VS_MTEST" -eq "$TEST_VS_MTEST" ] 2> /dev/null + then + echo "--test-vs-mtest Parameter has to be int" + exit -1 + fi + ;; + --mtest-real-rand) + MTEST_RAND="-DLTM_MTEST_REAL_RAND" + ;; --all) COMPILERS="gcc clang" ARCHFLAGS="-m64 -m32 -mx32" @@ -161,6 +188,26 @@ fi _banner +if [[ "$TEST_VS_MTEST" != "" ]] +then + make clean > /dev/null + _make "${compilers[0]} ${archflags[0]}" "$CFLAGS" "test" + echo + _make "gcc" "$MTEST_RAND" "mtest" + echo + echo "Run test vs. mtest for $TEST_VS_MTEST iterations" + for i in `seq 1 10` ; do sleep 500 && echo alive; done & + alive_pid=$! + _timeout="" + which timeout >/dev/null && _timeout="timeout --foreground 900" + $_TIMEOUT ./mtest/mtest $TEST_VS_MTEST | ./test > test.log + disown $alive_pid + kill $alive_pid 2>/dev/null + head -n 5 test.log + tail -n 2 test.log + exit 0 +fi + for i in "${compilers[@]}" do if [ -z "$(which $i)" ] diff --git a/tommath.h b/tommath.h index df1be15..e63bbf4 100644 --- a/tommath.h +++ b/tommath.h @@ -7,10 +7,7 @@ * 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://math.libtomcrypt.com + * SPDX-License-Identifier: Unlicense */ #ifndef BN_H_ #define BN_H_ @@ -21,12 +18,17 @@ #include #include -#include +#include "tommath_class.h" #ifdef __cplusplus extern "C" { #endif +/* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */ +#if defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__) +# define MP_32BIT +#endif + /* detect 64-bit mode if possible */ #if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \ defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \ @@ -35,7 +37,13 @@ extern "C" { defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \ defined(__LP64__) || defined(_LP64) || defined(__64BIT__) # if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) -# define MP_64BIT +# if defined(__GNUC__) +/* we support 128bit integers only via: __attribute__((mode(TI))) */ +# define MP_64BIT +# else +/* otherwise we fall back to MP_32BIT even on 64bit platforms */ +# define MP_32BIT +# endif # endif #endif @@ -64,16 +72,7 @@ typedef uint32_t mp_word; #elif defined(MP_64BIT) /* for GCC only on supported platforms */ typedef uint64_t mp_digit; -# if defined(_WIN32) -typedef unsigned __int128 mp_word; -# elif defined(__GNUC__) typedef unsigned long mp_word __attribute__((mode(TI))); -# else -/* it seems you have a problem - * but we assume you can somewhere define your own uint128_t */ -typedef uint128_t mp_word; -# endif - # define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ @@ -100,18 +99,6 @@ typedef uint_least32_t mp_min_u32; typedef mp_digit mp_min_u32; #endif -/* use arc4random on platforms that support it */ -#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) -# define MP_GEN_RANDOM() arc4random() -# define MP_GEN_RANDOM_MAX 0xffffffff -#endif - -/* use rand() as fall-back if there's no better rand function */ -#ifndef MP_GEN_RANDOM -# define MP_GEN_RANDOM() rand() -# define MP_GEN_RANDOM_MAX RAND_MAX -#endif - #define MP_DIGIT_BIT DIGIT_BIT #define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1)) #define MP_DIGIT_MAX MP_MASK @@ -128,6 +115,7 @@ typedef mp_digit mp_min_u32; #define MP_MEM -2 /* out of mem */ #define MP_VAL -3 /* invalid input */ #define MP_RANGE MP_VAL +#define MP_ITER -4 /* Max. iterations reached */ #define MP_YES 1 /* yes response */ #define MP_NO 0 /* no response */ @@ -158,7 +146,7 @@ extern int KARATSUBA_MUL_CUTOFF, #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) +#define MP_WARRAY (1u << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ typedef struct { @@ -214,6 +202,9 @@ void mp_zero(mp_int *a); /* set to a digit */ void mp_set(mp_int *a, mp_digit b); +/* set a double */ +int mp_set_double(mp_int *a, double b); + /* set a 32-bit const */ int mp_set_int(mp_int *a, unsigned long b); @@ -223,6 +214,9 @@ int mp_set_long(mp_int *a, unsigned long b); /* set a platform dependent unsigned long long value */ int mp_set_long_long(mp_int *a, unsigned long long b); +/* get a double */ +double mp_get_double(const mp_int *a); + /* get a 32-bit value */ unsigned long mp_get_int(const mp_int *a); @@ -284,8 +278,19 @@ int mp_cnt_lsb(const mp_int *a); /* I Love Earth! */ -/* makes a pseudo-random int of a given size */ +/* makes a pseudo-random mp_int of a given size */ int mp_rand(mp_int *a, int digits); +/* makes a pseudo-random small int of a given size */ +int mp_rand_digit(mp_digit *r); + +#ifdef MP_PRNG_ENABLE_LTM_RNG +/* A last resort to provide random data on systems without any of the other + * implemented ways to gather entropy. + * It is compatible with `rng_get_bytes()` from libtomcrypt so you could + * provide that one and then set `ltm_rng = rng_get_bytes;` */ +extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); +extern void (*ltm_rng_callback)(void); +#endif /* ---> binary operations <--- */ /* c = a XOR b */ @@ -297,8 +302,28 @@ int mp_or(const mp_int *a, const mp_int *b, mp_int *c); /* c = a AND b */ int mp_and(const mp_int *a, const mp_int *b, mp_int *c); +/* Checks the bit at position b and returns MP_YES + if the bit is 1, MP_NO if it is 0 and MP_VAL + in case of error */ +int mp_get_bit(const mp_int *a, int b); + +/* c = a XOR b (two complement) */ +int mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a OR b (two complement) */ +int mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c); + +/* c = a AND b (two complement) */ +int mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c); + +/* right shift (two complement) */ +int mp_tc_div_2d(const mp_int *a, int b, mp_int *c); + /* ---> Basic arithmetic <--- */ +/* b = ~a */ +int mp_complement(const mp_int *a, mp_int *b); + /* b = -a */ int mp_neg(const mp_int *a, mp_int *b); @@ -393,7 +418,7 @@ int mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast); int mp_sqrt(const mp_int *arg, mp_int *ret); /* special sqrt (mod prime) */ -int mp_sqrtmod_prime(const mp_int *arg, const mp_int *prime, mp_int *ret); +int mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret); /* is number a square? */ int mp_is_square(const mp_int *arg, int *ret); @@ -401,18 +426,21 @@ int mp_is_square(const mp_int *arg, int *ret); /* computes the jacobi c = (a | n) (or Legendre if b is prime) */ int mp_jacobi(const mp_int *a, const mp_int *n, int *c); +/* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ +int mp_kronecker(const mp_int *a, const mp_int *p, int *c); + /* used to setup the Barrett reduction for a given modulus b */ int mp_reduce_setup(mp_int *a, const mp_int *b); /* Barrett Reduction, computes a (mod b) with a precomputed value c * - * Assumes that 0 < a <= b*b, note if 0 > a > -(b*b) then you can merely - * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code]. + * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely + * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code]. */ -int mp_reduce(mp_int *a, const mp_int *b, const mp_int *c); +int mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu); /* setups the montgomery reduction */ -int mp_montgomery_setup(const mp_int *a, mp_digit *mp); +int mp_montgomery_setup(const mp_int *n, mp_digit *rho); /* computes a = B**n mod b without division or multiplication useful for * normalizing numbers in a Montgomery system. @@ -420,7 +448,7 @@ int mp_montgomery_setup(const mp_int *a, mp_digit *mp); int mp_montgomery_calc_normalization(mp_int *a, const mp_int *b); /* computes x/R == x (mod N) via Montgomery Reduction */ -int mp_montgomery_reduce(mp_int *a, const mp_int *m, mp_digit mp); +int mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho); /* returns 1 if a is a valid DR modulus */ int mp_dr_is_modulus(const mp_int *a); @@ -428,8 +456,8 @@ int mp_dr_is_modulus(const mp_int *a); /* sets the value of "d" required for mp_dr_reduce */ void mp_dr_setup(const mp_int *a, mp_digit *d); -/* reduces a modulo b using the Diminished Radix method */ -int mp_dr_reduce(mp_int *a, const mp_int *b, mp_digit mp); +/* reduces a modulo n using the Diminished Radix method */ +int mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k); /* returns true if a can be reduced with mp_reduce_2k */ int mp_reduce_is_2k(const mp_int *a); @@ -449,8 +477,8 @@ int mp_reduce_2k_setup_l(const mp_int *a, mp_int *d); /* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ int mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d); -/* d = a**b (mod c) */ -int mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d); +/* Y = G**X (mod P) */ +int mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y); /* ---> Primes <--- */ @@ -482,10 +510,27 @@ int mp_prime_miller_rabin(const mp_int *a, const mp_int *b, int *result); */ int mp_prime_rabin_miller_trials(int size); -/* performs t rounds of Miller-Rabin on "a" using the first - * t prime bases. Also performs an initial sieve of trial +/* performs one strong Lucas-Selfridge test of "a". + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_strong_lucas_selfridge(const mp_int *a, int *result); + +/* performs one Frobenius test of "a" as described by Paul Underwood. + * Sets result to 0 if composite or 1 if probable prime + */ +int mp_prime_frobenius_underwood(const mp_int *N, int *result); + +/* performs t random rounds of Miller-Rabin on "a" additional to + * bases 2 and 3. Also performs an initial sieve of trial * division. Determines if "a" is prime with probability * of error no more than (1/4)**t. + * Both a strong Lucas-Selfridge to complete the BPSW test + * and a separate Frobenius test are available at compile time. + * With t<0 a deterministic test is run for primes up to + * 318665857834031151167461. With t<13 (abs(t)-13) additional + * tests with sequential small primes are run starting at 43. + * Is Fips 186.4 compliant if called with t as computed by + * mp_prime_rabin_miller_trials(); * * Sets result to 1 if probably prime, 0 otherwise */ diff --git a/tommath_class.h b/tommath_class.h index f485a04..46f9996 100644 --- a/tommath_class.h +++ b/tommath_class.h @@ -1,4 +1,15 @@ -#pragma once +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * SPDX-License-Identifier: Unlicense + */ + #if !(defined(LTM1) && defined(LTM2) && defined(LTM3)) #if defined(LTM2) # define LTM3 @@ -7,7 +18,6 @@ # define LTM2 #endif #define LTM1 - #if defined(LTM_ALL) # define BN_ERROR_C # define BN_FAST_MP_INVMOD_C @@ -28,6 +38,7 @@ # define BN_MP_CMP_D_C # define BN_MP_CMP_MAG_C # define BN_MP_CNT_LSB_C +# define BN_MP_COMPLEMENT_C # define BN_MP_COPY_C # define BN_MP_COUNT_BITS_C # define BN_MP_DIV_C @@ -48,6 +59,8 @@ # define BN_MP_FREAD_C # define BN_MP_FWRITE_C # define BN_MP_GCD_C +# define BN_MP_GET_BIT_C +# define BN_MP_GET_DOUBLE_C # define BN_MP_GET_INT_C # define BN_MP_GET_LONG_C # define BN_MP_GET_LONG_LONG_C @@ -65,6 +78,7 @@ # define BN_MP_JACOBI_C # define BN_MP_KARATSUBA_MUL_C # define BN_MP_KARATSUBA_SQR_C +# define BN_MP_KRONECKER_C # define BN_MP_LCM_C # define BN_MP_LSHD_C # define BN_MP_MOD_C @@ -83,12 +97,14 @@ # define BN_MP_NEG_C # define BN_MP_OR_C # define BN_MP_PRIME_FERMAT_C +# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C # define BN_MP_PRIME_IS_DIVISIBLE_C # define BN_MP_PRIME_IS_PRIME_C # define BN_MP_PRIME_MILLER_RABIN_C # define BN_MP_PRIME_NEXT_PRIME_C # define BN_MP_PRIME_RABIN_MILLER_TRIALS_C # define BN_MP_PRIME_RANDOM_EX_C +# define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C # define BN_MP_RADIX_SIZE_C # define BN_MP_RADIX_SMAP_C # define BN_MP_RAND_C @@ -105,6 +121,7 @@ # define BN_MP_REDUCE_SETUP_C # define BN_MP_RSHD_C # define BN_MP_SET_C +# define BN_MP_SET_DOUBLE_C # define BN_MP_SET_INT_C # define BN_MP_SET_LONG_C # define BN_MP_SET_LONG_LONG_C @@ -117,6 +134,10 @@ # define BN_MP_SUB_C # define BN_MP_SUB_D_C # define BN_MP_SUBMOD_C +# define BN_MP_TC_AND_C +# define BN_MP_TC_DIV_2D_C +# define BN_MP_TC_OR_C +# define BN_MP_TC_XOR_C # define BN_MP_TO_SIGNED_BIN_C # define BN_MP_TO_SIGNED_BIN_N_C # define BN_MP_TO_UNSIGNED_BIN_C @@ -138,7 +159,6 @@ # define BN_S_MP_SUB_C # define BNCORE_C #endif - #if defined(BN_ERROR_C) # define BN_MP_ERROR_TO_STRING_C #endif @@ -148,14 +168,15 @@ # define BN_MP_INIT_MULTI_C # define BN_MP_COPY_C # define BN_MP_MOD_C +# define BN_MP_ISZERO_C # define BN_MP_SET_C # define BN_MP_DIV_2_C # define BN_MP_ISODD_C # define BN_MP_SUB_C # define BN_MP_CMP_C -# define BN_MP_ISZERO_C # define BN_MP_CMP_D_C # define BN_MP_ADD_C +# define BN_MP_CMP_MAG_C # define BN_MP_EXCH_C # define BN_MP_CLEAR_MULTI_C #endif @@ -242,6 +263,11 @@ # define BN_MP_ISZERO_C #endif +#if defined(BN_MP_COMPLEMENT_C) +# define BN_MP_NEG_C +# define BN_MP_SUB_D_C +#endif + #if defined(BN_MP_COPY_C) # define BN_MP_GROW_C #endif @@ -391,7 +417,8 @@ #if defined(BN_MP_FREAD_C) # define BN_MP_ZERO_C -# define BN_MP_S_RMAP_C +# define BN_MP_S_RMAP_REVERSE_SZ_C +# define BN_MP_S_RMAP_REVERSE_C # define BN_MP_MUL_D_C # define BN_MP_ADD_D_C # define BN_MP_CMP_D_C @@ -415,6 +442,14 @@ # define BN_MP_CLEAR_C #endif +#if defined(BN_MP_GET_BIT_C) +# define BN_MP_ISZERO_C +#endif + +#if defined(BN_MP_GET_DOUBLE_C) +# define BN_MP_ISNEG_C +#endif + #if defined(BN_MP_GET_INT_C) #endif @@ -463,9 +498,8 @@ #endif #if defined(BN_MP_INVMOD_C) -# define BN_MP_ISZERO_C -# define BN_MP_ISODD_C # define BN_MP_CMP_D_C +# define BN_MP_ISODD_C # define BN_FAST_MP_INVMOD_C # define BN_MP_INVMOD_SLOW_C #endif @@ -500,14 +534,9 @@ #endif #if defined(BN_MP_JACOBI_C) +# define BN_MP_KRONECKER_C # define BN_MP_ISNEG_C # define BN_MP_CMP_D_C -# define BN_MP_ISZERO_C -# define BN_MP_INIT_COPY_C -# define BN_MP_CNT_LSB_C -# define BN_MP_DIV_2D_C -# define BN_MP_MOD_C -# define BN_MP_CLEAR_C #endif #if defined(BN_MP_KARATSUBA_MUL_C) @@ -532,6 +561,18 @@ # define BN_MP_CLEAR_C #endif +#if defined(BN_MP_KRONECKER_C) +# define BN_MP_ISZERO_C +# define BN_MP_ISEVEN_C +# define BN_MP_INIT_COPY_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_CMP_D_C +# define BN_MP_COPY_C +# define BN_MP_MOD_C +# define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_LCM_C) # define BN_MP_INIT_MULTI_C # define BN_MP_GCD_C @@ -542,6 +583,7 @@ #endif #if defined(BN_MP_LSHD_C) +# define BN_MP_ISZERO_C # define BN_MP_GROW_C # define BN_MP_RSHD_C #endif @@ -656,16 +698,49 @@ # define BN_MP_CLEAR_C #endif +#if defined(BN_MP_PRIME_FROBENIUS_UNDERWOOD_C) +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_SET_LONG_C +# define BN_MP_SQR_C +# define BN_MP_SUB_D_C +# define BN_MP_KRONECKER_C +# define BN_MP_GCD_C +# define BN_MP_ADD_D_C +# define BN_MP_SET_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_MUL_2_C +# define BN_MP_MUL_D_C +# define BN_MP_ADD_C +# define BN_MP_MUL_C +# define BN_MP_SUB_C +# define BN_MP_MOD_C +# define BN_MP_GET_BIT_C +# define BN_MP_EXCH_C +# define BN_MP_ISZERO_C +# define BN_MP_CMP_C +# define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_PRIME_IS_DIVISIBLE_C) # define BN_MP_MOD_D_C #endif #if defined(BN_MP_PRIME_IS_PRIME_C) +# define BN_MP_ISEVEN_C +# define BN_MP_IS_SQUARE_C # define BN_MP_CMP_D_C # define BN_MP_PRIME_IS_DIVISIBLE_C -# define BN_MP_INIT_C -# define BN_MP_SET_C +# define BN_MP_INIT_SET_C # define BN_MP_PRIME_MILLER_RABIN_C +# define BN_MP_PRIME_FROBENIUS_UNDERWOOD_C +# define BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C +# define BN_MP_READ_RADIX_C +# define BN_MP_CMP_C +# define BN_MP_SET_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_RAND_C +# define BN_MP_DIV_2D_C # define BN_MP_CLEAR_C #endif @@ -689,7 +764,7 @@ # define BN_MP_MOD_D_C # define BN_MP_INIT_C # define BN_MP_ADD_D_C -# define BN_MP_PRIME_MILLER_RABIN_C +# define BN_MP_PRIME_IS_PRIME_C # define BN_MP_CLEAR_C #endif @@ -705,6 +780,37 @@ # define BN_MP_ADD_D_C #endif +#if defined(BN_MP_PRIME_STRONG_LUCAS_SELFRIDGE_C) +# define BN_MP_PRIME_IS_PRIME_C +# define BN_MP_MUL_D_C +# define BN_S_MP_MUL_SI_C +# define BN_MP_INIT_C +# define BN_MP_SET_LONG_C +# define BN_MP_MUL_C +# define BN_MP_CLEAR_C +# define BN_MP_INIT_MULTI_C +# define BN_MP_GCD_C +# define BN_MP_CMP_D_C +# define BN_MP_CMP_C +# define BN_MP_KRONECKER_C +# define BN_MP_ADD_D_C +# define BN_MP_CNT_LSB_C +# define BN_MP_DIV_2D_C +# define BN_MP_SET_C +# define BN_MP_MUL_2_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_MOD_C +# define BN_MP_SQR_C +# define BN_MP_SUB_C +# define BN_MP_GET_BIT_C +# define BN_MP_ADD_C +# define BN_MP_ISODD_C +# define BN_MP_DIV_2_C +# define BN_MP_SUB_D_C +# define BN_MP_ISZERO_C +# define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_RADIX_SIZE_C) # define BN_MP_ISZERO_C # define BN_MP_COUNT_BITS_C @@ -715,9 +821,12 @@ #if defined(BN_MP_RADIX_SMAP_C) # define BN_MP_S_RMAP_C +# define BN_MP_S_RMAP_REVERSE_C +# define BN_MP_S_RMAP_REVERSE_SZ_C #endif #if defined(BN_MP_RAND_C) +# define BN_MP_RAND_DIGIT_C # define BN_MP_ZERO_C # define BN_MP_ADD_D_C # define BN_MP_LSHD_C @@ -725,7 +834,8 @@ #if defined(BN_MP_READ_RADIX_C) # define BN_MP_ZERO_C -# define BN_MP_S_RMAP_C +# define BN_MP_S_RMAP_REVERSE_SZ_C +# define BN_MP_S_RMAP_REVERSE_C # define BN_MP_MUL_D_C # define BN_MP_ADD_D_C # define BN_MP_ISZERO_C @@ -820,6 +930,13 @@ # define BN_MP_ZERO_C #endif +#if defined(BN_MP_SET_DOUBLE_C) +# define BN_MP_SET_LONG_LONG_C +# define BN_MP_DIV_2D_C +# define BN_MP_MUL_2D_C +# define BN_MP_ISZERO_C +#endif + #if defined(BN_MP_SET_INT_C) # define BN_MP_ZERO_C # define BN_MP_MUL_2D_C @@ -905,6 +1022,49 @@ # define BN_MP_MOD_C #endif +#if defined(BN_MP_TC_AND_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_AND_C +# define BN_MP_SUB_C +#endif + +#if defined(BN_MP_TC_DIV_2D_C) +# define BN_MP_ISNEG_C +# define BN_MP_DIV_2D_C +# define BN_MP_ADD_D_C +# define BN_MP_SUB_D_C +#endif + +#if defined(BN_MP_TC_OR_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_OR_C +# define BN_MP_SUB_C +#endif + +#if defined(BN_MP_TC_XOR_C) +# define BN_MP_ISNEG_C +# define BN_MP_COUNT_BITS_C +# define BN_MP_INIT_SET_INT_C +# define BN_MP_MUL_2D_C +# define BN_MP_INIT_C +# define BN_MP_ADD_C +# define BN_MP_CLEAR_C +# define BN_MP_XOR_C +# define BN_MP_SUB_C +#endif + #if defined(BN_MP_TO_SIGNED_BIN_C) # define BN_MP_TO_UNSIGNED_BIN_C #endif @@ -1057,3 +1217,7 @@ #else # define LTM_LAST #endif + +/* ref: $Format:%D$ */ +/* git commit: $Format:%H$ */ +/* commit time: $Format:%ai$ */ diff --git a/tommath_private.h b/tommath_private.h index 087ddcd..3546370 100644 --- a/tommath_private.h +++ b/tommath_private.h @@ -7,15 +7,12 @@ * 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://math.libtomcrypt.com + * SPDX-License-Identifier: Unlicense */ #ifndef TOMMATH_PRIV_H_ #define TOMMATH_PRIV_H_ -#include +#include "tommath.h" #include #ifndef MIN @@ -75,7 +72,9 @@ int mp_exptmod_fast(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y int s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode); void bn_reverse(unsigned char *s, int len); -extern const char *mp_s_rmap; +extern const char *const mp_s_rmap; +extern const uint8_t mp_s_rmap_reverse[]; +extern const size_t mp_s_rmap_reverse_sz; /* Fancy macro to set an MPI from another type. * There are several things assumed: @@ -99,7 +98,7 @@ int func_name (mp_int * a, type b) \ } \ \ /* OR in the top four bits of the source */ \ - a->dp[0] |= (b >> ((sizeof(type) * 8u) - 4u)) & 15u; \ + a->dp[0] |= (mp_digit)(b >> ((sizeof(type) * 8u) - 4u)) & 15uL;\ \ /* shift the source up to the next four bits */ \ b <<= 4; \ diff --git a/tommath_superclass.h b/tommath_superclass.h index da53793..7b98ed6 100644 --- a/tommath_superclass.h +++ b/tommath_superclass.h @@ -1,3 +1,15 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * SPDX-License-Identifier: Unlicense + */ + /* super class file for PK algos */ /* default ... include all MPI */ diff --git a/updatemakes.sh b/updatemakes.sh index 0f9520e..8a5ca86 100755 --- a/updatemakes.sh +++ b/updatemakes.sh @@ -1,32 +1,15 @@ #!/bin/bash -bash genlist.sh > tmplist +./helper.pl --update-makefiles || exit 1 -perl filter.pl makefile tmplist -sed -e 's/ *$//' < tmp.delme > makefile -rm -f tmp.delme +makefiles=(makefile makefile.shared makefile_include.mk makefile.msvc makefile.unix makefile.mingw) +vcproj=(libtommath_VS2008.vcproj) -perl filter.pl makefile.icc tmplist -sed -e 's/ *$//' < tmp.delme > makefile.icc -rm -f tmp.delme +if [ $# -eq 1 ] && [ "$1" == "-c" ]; then + git add ${makefiles[@]} ${vcproj[@]} && git commit -m 'Update makefiles' +fi -perl filter.pl makefile.shared tmplist -sed -e 's/ *$//' < tmp.delme > makefile.shared -rm -f tmp.delme - -perl filter.pl makefile.cygwin_dll tmplist -sed -e 's/ *$//' < tmp.delme > makefile.cygwin_dll -rm -f tmp.delme - -perl filter.pl makefile.bcc tmplist -sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.bcc -rm -f tmp.delme - -perl filter.pl makefile.msvc tmplist -sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.msvc -rm -f tmp.delme - -rm -f tmplist +exit 0 # ref: $Format:%D$ # git commit: $Format:%H$