2015-10-21 05:03:22 +02:00
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/*
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* mpi.h
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*
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* Arbitrary precision integer arithmetic library
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*
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2018-05-04 16:08:28 +02:00
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* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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2015-10-21 05:03:22 +02:00
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#ifndef _H_MPI_
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#define _H_MPI_
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#include "mpi-config.h"
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#if MP_DEBUG
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#undef MP_IOFUNC
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#define MP_IOFUNC 1
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#endif
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#if MP_IOFUNC
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#include <stdio.h>
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#include <ctype.h>
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#endif
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#include <limits.h>
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#if defined(BSDI)
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#undef ULLONG_MAX
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#endif
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#include <sys/types.h>
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#define MP_NEG 1
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#define MP_ZPOS 0
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#define MP_OKAY 0 /* no error, all is well */
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#define MP_YES 0 /* yes (boolean result) */
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#define MP_NO -1 /* no (boolean result) */
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#define MP_MEM -2 /* out of memory */
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#define MP_RANGE -3 /* argument out of range */
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#define MP_BADARG -4 /* invalid parameter */
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#define MP_UNDEF -5 /* answer is undefined */
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#define MP_LAST_CODE MP_UNDEF
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typedef unsigned int mp_sign;
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typedef unsigned int mp_size;
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typedef int mp_err;
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#define MP_32BIT_MAX 4294967295U
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#if !defined(ULONG_MAX)
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#error "ULONG_MAX not defined"
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#elif !defined(UINT_MAX)
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#error "UINT_MAX not defined"
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#elif !defined(USHRT_MAX)
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#error "USHRT_MAX not defined"
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#endif
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cherry-picked mozilla NSS upstream changes (to rev f7a4c771997e, which is on par with 3.16.1 but without windows rand() changes):
9934c8faef29, 3c3b381c4865, 5a67f6beee9a, 1b1eb6d77728, a8b668fd72f7, bug962760, bug743700, bug857304, bug972653, bug972450, bug971358, bug903885, bug977073, bug976111, bug949939, bug947653, bug947572, bug903885, bug979106, bug966596, bug979004, bug979752, bug980848, bug938369, bug981170, bug668130, bug974693, bug975056, bug979132, bug370717, bug979070, bug985070, bug900067, bug977673, bug519255, bug989558, bug557299, bug987263, bug369802, a751a5146718, bug992343, bug952572, bug979703, bug994883, bug994869, bug993489, bug984608, bug977869, bug667371, bug672828, bug793347, bug977869
2018-07-10 17:07:31 +02:00
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#if defined(ULLONG_MAX) /* C99, Solaris */
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2015-10-21 05:03:22 +02:00
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#define MP_ULONG_LONG_MAX ULLONG_MAX
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/* MP_ULONG_LONG_MAX was defined to be ULLONG_MAX */
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cherry-picked mozilla NSS upstream changes (to rev f7a4c771997e, which is on par with 3.16.1 but without windows rand() changes):
9934c8faef29, 3c3b381c4865, 5a67f6beee9a, 1b1eb6d77728, a8b668fd72f7, bug962760, bug743700, bug857304, bug972653, bug972450, bug971358, bug903885, bug977073, bug976111, bug949939, bug947653, bug947572, bug903885, bug979106, bug966596, bug979004, bug979752, bug980848, bug938369, bug981170, bug668130, bug974693, bug975056, bug979132, bug370717, bug979070, bug985070, bug900067, bug977673, bug519255, bug989558, bug557299, bug987263, bug369802, a751a5146718, bug992343, bug952572, bug979703, bug994883, bug994869, bug993489, bug984608, bug977869, bug667371, bug672828, bug793347, bug977869
2018-07-10 17:07:31 +02:00
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#elif defined(ULONG_LONG_MAX) /* HPUX */
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#define MP_ULONG_LONG_MAX ULONG_LONG_MAX
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2015-10-21 05:03:22 +02:00
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#elif defined(ULONGLONG_MAX) /* IRIX, AIX */
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#define MP_ULONG_LONG_MAX ULONGLONG_MAX
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#endif
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/* We only use unsigned long for mp_digit iff long is more than 32 bits. */
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#if !defined(MP_USE_UINT_DIGIT) && ULONG_MAX > MP_32BIT_MAX
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typedef unsigned long mp_digit;
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#define MP_DIGIT_MAX ULONG_MAX
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#define MP_DIGIT_FMT "%016lX" /* printf() format for 1 digit */
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#define MP_HALF_DIGIT_MAX UINT_MAX
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#undef MP_NO_MP_WORD
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#define MP_NO_MP_WORD 1
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#undef MP_USE_LONG_DIGIT
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#define MP_USE_LONG_DIGIT 1
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#undef MP_USE_LONG_LONG_DIGIT
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#elif !defined(MP_USE_UINT_DIGIT) && defined(MP_ULONG_LONG_MAX)
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typedef unsigned long long mp_digit;
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#define MP_DIGIT_MAX MP_ULONG_LONG_MAX
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#define MP_DIGIT_FMT "%016llX" /* printf() format for 1 digit */
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#define MP_HALF_DIGIT_MAX UINT_MAX
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#undef MP_NO_MP_WORD
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#define MP_NO_MP_WORD 1
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#undef MP_USE_LONG_LONG_DIGIT
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#define MP_USE_LONG_LONG_DIGIT 1
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#undef MP_USE_LONG_DIGIT
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#else
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typedef unsigned int mp_digit;
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#define MP_DIGIT_MAX UINT_MAX
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#define MP_DIGIT_FMT "%08X" /* printf() format for 1 digit */
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#define MP_HALF_DIGIT_MAX USHRT_MAX
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#undef MP_USE_UINT_DIGIT
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#define MP_USE_UINT_DIGIT 1
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#undef MP_USE_LONG_LONG_DIGIT
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#undef MP_USE_LONG_DIGIT
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#endif
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#if !defined(MP_NO_MP_WORD)
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#if defined(MP_USE_UINT_DIGIT) && \
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(defined(MP_ULONG_LONG_MAX) || (ULONG_MAX > UINT_MAX))
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#if (ULONG_MAX > UINT_MAX)
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typedef unsigned long mp_word;
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typedef long mp_sword;
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#define MP_WORD_MAX ULONG_MAX
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#else
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typedef unsigned long long mp_word;
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typedef long long mp_sword;
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#define MP_WORD_MAX MP_ULONG_LONG_MAX
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#endif
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#else
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#define MP_NO_MP_WORD 1
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#endif
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#endif /* !defined(MP_NO_MP_WORD) */
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#if !defined(MP_WORD_MAX) && defined(MP_DEFINE_SMALL_WORD)
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typedef unsigned int mp_word;
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typedef int mp_sword;
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#define MP_WORD_MAX UINT_MAX
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#endif
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#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit))
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#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word))
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#define MP_RADIX (1+(mp_word)MP_DIGIT_MAX)
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#define MP_HALF_DIGIT_BIT (MP_DIGIT_BIT/2)
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#define MP_HALF_RADIX (1+(mp_digit)MP_HALF_DIGIT_MAX)
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/* MP_HALF_RADIX really ought to be called MP_SQRT_RADIX, but it's named
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** MP_HALF_RADIX because it's the radix for MP_HALF_DIGITs, and it's
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** consistent with the other _HALF_ names.
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*/
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/* Macros for accessing the mp_int internals */
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#define MP_SIGN(MP) ((MP)->sign)
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#define MP_USED(MP) ((MP)->used)
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#define MP_ALLOC(MP) ((MP)->alloc)
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#define MP_DIGITS(MP) ((MP)->dp)
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#define MP_DIGIT(MP,N) (MP)->dp[(N)]
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/* This defines the maximum I/O base (minimum is 2) */
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#define MP_MAX_RADIX 64
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typedef struct {
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mp_sign sign; /* sign of this quantity */
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mp_size alloc; /* how many digits allocated */
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mp_size used; /* how many digits used */
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mp_digit *dp; /* the digits themselves */
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} mp_int;
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/* Default precision */
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mp_size mp_get_prec(void);
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void mp_set_prec(mp_size prec);
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/* Memory management */
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mp_err mp_init(mp_int *mp);
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mp_err mp_init_size(mp_int *mp, mp_size prec);
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mp_err mp_init_copy(mp_int *mp, const mp_int *from);
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mp_err mp_copy(const mp_int *from, mp_int *to);
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void mp_exch(mp_int *mp1, mp_int *mp2);
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void mp_clear(mp_int *mp);
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void mp_zero(mp_int *mp);
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void mp_set(mp_int *mp, mp_digit d);
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mp_err mp_set_int(mp_int *mp, long z);
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#define mp_set_long(mp,z) mp_set_int(mp,z)
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mp_err mp_set_ulong(mp_int *mp, unsigned long z);
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/* Single digit arithmetic */
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mp_err mp_add_d(const mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_sub_d(const mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_mul_d(const mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_mul_2(const mp_int *a, mp_int *c);
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mp_err mp_div_d(const mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
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mp_err mp_div_2(const mp_int *a, mp_int *c);
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mp_err mp_expt_d(const mp_int *a, mp_digit d, mp_int *c);
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/* Sign manipulations */
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mp_err mp_abs(const mp_int *a, mp_int *b);
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mp_err mp_neg(const mp_int *a, mp_int *b);
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/* Full arithmetic */
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mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c);
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mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c);
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mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c);
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#if MP_SQUARE
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mp_err mp_sqr(const mp_int *a, mp_int *b);
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#else
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#define mp_sqr(a, b) mp_mul(a, a, b)
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#endif
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mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r);
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mp_err mp_div_2d(const mp_int *a, mp_digit d, mp_int *q, mp_int *r);
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mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_2expt(mp_int *a, mp_digit k);
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mp_err mp_sqrt(const mp_int *a, mp_int *b);
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/* Modular arithmetic */
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#if MP_MODARITH
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mp_err mp_mod(const mp_int *a, const mp_int *m, mp_int *c);
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mp_err mp_mod_d(const mp_int *a, mp_digit d, mp_digit *c);
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mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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#if MP_SQUARE
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mp_err mp_sqrmod(const mp_int *a, const mp_int *m, mp_int *c);
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#else
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#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
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#endif
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mp_err mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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mp_err mp_exptmod_d(const mp_int *a, mp_digit d, const mp_int *m, mp_int *c);
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#endif /* MP_MODARITH */
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/* Comparisons */
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int mp_cmp_z(const mp_int *a);
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int mp_cmp_d(const mp_int *a, mp_digit d);
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int mp_cmp(const mp_int *a, const mp_int *b);
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int mp_cmp_mag(mp_int *a, mp_int *b);
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int mp_cmp_int(const mp_int *a, long z);
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int mp_isodd(const mp_int *a);
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int mp_iseven(const mp_int *a);
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/* Number theoretic */
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#if MP_NUMTH
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mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_xgcd(const mp_int *a, const mp_int *b, mp_int *g, mp_int *x, mp_int *y);
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mp_err mp_invmod(const mp_int *a, const mp_int *m, mp_int *c);
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mp_err mp_invmod_xgcd(const mp_int *a, const mp_int *m, mp_int *c);
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#endif /* end MP_NUMTH */
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/* Input and output */
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#if MP_IOFUNC
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void mp_print(mp_int *mp, FILE *ofp);
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#endif /* end MP_IOFUNC */
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/* Base conversion */
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mp_err mp_read_raw(mp_int *mp, char *str, int len);
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int mp_raw_size(mp_int *mp);
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mp_err mp_toraw(mp_int *mp, char *str);
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mp_err mp_read_radix(mp_int *mp, const char *str, int radix);
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mp_err mp_read_variable_radix(mp_int *a, const char * str, int default_radix);
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int mp_radix_size(mp_int *mp, int radix);
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mp_err mp_toradix(mp_int *mp, char *str, int radix);
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int mp_tovalue(char ch, int r);
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#define mp_tobinary(M, S) mp_toradix((M), (S), 2)
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#define mp_tooctal(M, S) mp_toradix((M), (S), 8)
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#define mp_todecimal(M, S) mp_toradix((M), (S), 10)
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#define mp_tohex(M, S) mp_toradix((M), (S), 16)
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/* Error strings */
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const char *mp_strerror(mp_err ec);
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/* Octet string conversion functions */
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mp_err mp_read_unsigned_octets(mp_int *mp, const unsigned char *str, mp_size len);
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cherry-picked mozilla NSS upstream changes (to rev bad5fd065fa1, which is on par with 3.20):
bug1001332, 56b691c003ad, bug1086145, bug1054069, bug1155922, bug991783, bug1125025, bug1162521, bug1162644, bug1132941, bug1164364, bug1166205, bug1166163, bug1166515, bug1138554, bug1167046, bug1167043, bug1169451, bug1172128, bug1170322, bug102794, bug1128184, bug557830, bug1174648, bug1180244, bug1177784, bug1173413, bug1169174, bug1084669, bug951455, bug1183395, bug1177430, bug1183827, bug1160139, bug1154106, bug1142209, bug1185033, bug1193467, bug1182667(with sha512 changes backed out, which breaks VC6 compilation), bug1158489, bug337796
2018-07-12 15:44:51 +02:00
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unsigned int mp_unsigned_octet_size(const mp_int *mp);
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2015-10-21 05:03:22 +02:00
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mp_err mp_to_unsigned_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
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mp_err mp_to_signed_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
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mp_err mp_to_fixlen_octets(const mp_int *mp, unsigned char *str, mp_size len);
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/* Miscellaneous */
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mp_size mp_trailing_zeros(const mp_int *mp);
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void freebl_cpuid(unsigned long op, unsigned long *eax,
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unsigned long *ebx, unsigned long *ecx,
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unsigned long *edx);
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#define MP_CHECKOK(x) if (MP_OKAY > (res = (x))) goto CLEANUP
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#define MP_CHECKERR(x) if (MP_OKAY > (res = (x))) goto CLEANUP
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#if defined(MP_API_COMPATIBLE)
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#define NEG MP_NEG
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#define ZPOS MP_ZPOS
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#define DIGIT_MAX MP_DIGIT_MAX
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#define DIGIT_BIT MP_DIGIT_BIT
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#define DIGIT_FMT MP_DIGIT_FMT
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#define RADIX MP_RADIX
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#define MAX_RADIX MP_MAX_RADIX
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#define SIGN(MP) MP_SIGN(MP)
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#define USED(MP) MP_USED(MP)
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#define ALLOC(MP) MP_ALLOC(MP)
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#define DIGITS(MP) MP_DIGITS(MP)
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#define DIGIT(MP,N) MP_DIGIT(MP,N)
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#if MP_ARGCHK == 1
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#define ARGCHK(X,Y) {if(!(X)){return (Y);}}
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#elif MP_ARGCHK == 2
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#include <assert.h>
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#define ARGCHK(X,Y) assert(X)
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#else
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#define ARGCHK(X,Y) /* */
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#endif
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#endif /* defined MP_API_COMPATIBLE */
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#endif /* end _H_MPI_ */
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