diff options
Diffstat (limited to 'usr/src/common/mpi/mpi.h')
| -rw-r--r-- | usr/src/common/mpi/mpi.h | 394 |
1 files changed, 394 insertions, 0 deletions
diff --git a/usr/src/common/mpi/mpi.h b/usr/src/common/mpi/mpi.h new file mode 100644 index 0000000000..c5384df1c1 --- /dev/null +++ b/usr/src/common/mpi/mpi.h @@ -0,0 +1,394 @@ +/* + * mpi.h + * + * Arbitrary precision integer arithmetic library + * + * ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1/GPL 2.0/LGPL 2.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is the MPI Arbitrary Precision Integer Arithmetic library. + * + * The Initial Developer of the Original Code is + * Michael J. Fromberger. + * Portions created by the Initial Developer are Copyright (C) 1998 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * Netscape Communications Corporation + * + * Alternatively, the contents of this file may be used under the terms of + * either the GNU General Public License Version 2 or later (the "GPL"), or + * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), + * in which case the provisions of the GPL or the LGPL are applicable instead + * of those above. If you wish to allow use of your version of this file only + * under the terms of either the GPL or the LGPL, and not to allow others to + * use your version of this file under the terms of the MPL, indicate your + * decision by deleting the provisions above and replace them with the notice + * and other provisions required by the GPL or the LGPL. If you do not delete + * the provisions above, a recipient may use your version of this file under + * the terms of any one of the MPL, the GPL or the LGPL. + * + * ***** END LICENSE BLOCK ***** */ +/* + * Copyright 2007 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + * + * Sun elects to use this software under the MPL license. + */ + +#ifndef _MPI_H +#define _MPI_H + +#pragma ident "%Z%%M% %I% %E% SMI" + +/* $Id: mpi.h,v 1.22 2004/04/27 23:04:36 gerv%gerv.net Exp $ */ + +#include "mpi-config.h" +#include <sys/param.h> +#ifdef _KERNEL +#include <sys/debug.h> +#include <sys/systm.h> +#define assert ASSERT +#define labs(a) (a >= 0 ? a : -a) +#define UCHAR_MAX 255 +#define memset(s, c, n) bzero(s, n) +#define memcpy(a,b,c) bcopy((caddr_t)b, (caddr_t)a, c) +/* + * Generic #define's to cover missing things in the kernel + */ +#ifndef isdigit +#define isdigit(x) ((x) >= '0' && (x) <= '9') +#endif +#ifndef isupper +#define isupper(x) (((unsigned)(x) >= 'A') && ((unsigned)(x) <= 'Z')) +#endif +#ifndef islower +#define islower(x) (((unsigned)(x) >= 'a') && ((unsigned)(x) <= 'z')) +#endif +#ifndef isalpha +#define isalpha(x) (isupper(x) || islower(x)) +#endif +#ifndef toupper +#define toupper(x) (islower(x) ? (x) - 'a' + 'A' : (x)) +#endif +#ifndef tolower +#define tolower(x) (isupper(x) ? (x) + 'a' - 'A' : (x)) +#endif +#ifndef isspace +#define isspace(x) (((x) == ' ') || ((x) == '\r') || ((x) == '\n') || \ + ((x) == '\t') || ((x) == '\b')) +#endif +#endif /* _KERNEL */ + +#if MP_DEBUG +#undef MP_IOFUNC +#define MP_IOFUNC 1 +#endif + +#if MP_IOFUNC +#include <stdio.h> +#include <ctype.h> +#endif + +#ifndef _KERNEL +#include <limits.h> +#endif + +#if defined(BSDI) +#undef ULLONG_MAX +#endif + +#if defined( macintosh ) +#include <Types.h> +#elif defined( _WIN32_WCE) +/* #include <sys/types.h> What do we need here ?? */ +#else +#include <sys/types.h> +#endif + +#define MP_NEG 1 +#define MP_ZPOS 0 + +#define MP_OKAY 0 /* no error, all is well */ +#define MP_YES 0 /* yes (boolean result) */ +#define MP_NO -1 /* no (boolean result) */ +#define MP_MEM -2 /* out of memory */ +#define MP_RANGE -3 /* argument out of range */ +#define MP_BADARG -4 /* invalid parameter */ +#define MP_UNDEF -5 /* answer is undefined */ +#define MP_LAST_CODE MP_UNDEF + +typedef unsigned int mp_sign; +typedef unsigned int mp_size; +typedef int mp_err; +typedef int mp_flag; + +#define MP_32BIT_MAX 4294967295U + +#if !defined(ULONG_MAX) +#error "ULONG_MAX not defined" +#elif !defined(UINT_MAX) +#error "UINT_MAX not defined" +#elif !defined(USHRT_MAX) +#error "USHRT_MAX not defined" +#endif + +#if defined(ULONG_LONG_MAX) /* GCC, HPUX */ +#define MP_ULONG_LONG_MAX ULONG_LONG_MAX +#elif defined(ULLONG_MAX) /* Solaris */ +#define MP_ULONG_LONG_MAX ULLONG_MAX +/* MP_ULONG_LONG_MAX was defined to be ULLONG_MAX */ +#elif defined(ULONGLONG_MAX) /* IRIX, AIX */ +#define MP_ULONG_LONG_MAX ULONGLONG_MAX +#endif + +/* We only use unsigned long for mp_digit iff long is more than 32 bits. */ +#if !defined(MP_USE_UINT_DIGIT) && ULONG_MAX > MP_32BIT_MAX +typedef unsigned long mp_digit; +#define MP_DIGIT_MAX ULONG_MAX +#define MP_DIGIT_FMT "%016lX" /* printf() format for 1 digit */ +#define MP_HALF_DIGIT_MAX UINT_MAX +#undef MP_NO_MP_WORD +#define MP_NO_MP_WORD 1 +#undef MP_USE_LONG_DIGIT +#define MP_USE_LONG_DIGIT 1 +#undef MP_USE_LONG_LONG_DIGIT + +#elif !defined(MP_USE_UINT_DIGIT) && defined(MP_ULONG_LONG_MAX) +typedef unsigned long long mp_digit; +#define MP_DIGIT_MAX MP_ULONG_LONG_MAX +#define MP_DIGIT_FMT "%016llX" /* printf() format for 1 digit */ +#define MP_HALF_DIGIT_MAX UINT_MAX +#undef MP_NO_MP_WORD +#define MP_NO_MP_WORD 1 +#undef MP_USE_LONG_LONG_DIGIT +#define MP_USE_LONG_LONG_DIGIT 1 +#undef MP_USE_LONG_DIGIT + +#else +typedef unsigned int mp_digit; +#define MP_DIGIT_MAX UINT_MAX +#define MP_DIGIT_FMT "%08X" /* printf() format for 1 digit */ +#define MP_HALF_DIGIT_MAX USHRT_MAX +#undef MP_USE_UINT_DIGIT +#define MP_USE_UINT_DIGIT 1 +#undef MP_USE_LONG_LONG_DIGIT +#undef MP_USE_LONG_DIGIT +#endif + +#if !defined(MP_NO_MP_WORD) +#if defined(MP_USE_UINT_DIGIT) && \ + (defined(MP_ULONG_LONG_MAX) || (ULONG_MAX > UINT_MAX)) + +#if (ULONG_MAX > UINT_MAX) +typedef unsigned long mp_word; +typedef long mp_sword; +#define MP_WORD_MAX ULONG_MAX + +#else +typedef unsigned long long mp_word; +typedef long long mp_sword; +#define MP_WORD_MAX MP_ULONG_LONG_MAX +#endif + +#else +#define MP_NO_MP_WORD 1 +#endif +#endif /* !defined(MP_NO_MP_WORD) */ + +#if !defined(MP_WORD_MAX) && defined(MP_DEFINE_SMALL_WORD) +typedef unsigned int mp_word; +typedef int mp_sword; +#define MP_WORD_MAX UINT_MAX +#endif + +#ifndef CHAR_BIT +#define CHAR_BIT 8 +#endif + +#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit)) +#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word)) +#define MP_RADIX (1+(mp_word)MP_DIGIT_MAX) + +#define MP_HALF_DIGIT_BIT (MP_DIGIT_BIT/2) +#define MP_HALF_RADIX (1+(mp_digit)MP_HALF_DIGIT_MAX) +/* MP_HALF_RADIX really ought to be called MP_SQRT_RADIX, but it's named +** MP_HALF_RADIX because it's the radix for MP_HALF_DIGITs, and it's +** consistent with the other _HALF_ names. +*/ + + +/* Macros for accessing the mp_int internals */ +#define MP_FLAG(MP) ((MP)->flag) +#define MP_SIGN(MP) ((MP)->sign) +#define MP_USED(MP) ((MP)->used) +#define MP_ALLOC(MP) ((MP)->alloc) +#define MP_DIGITS(MP) ((MP)->dp) +#define MP_DIGIT(MP,N) (MP)->dp[(N)] + +/* This defines the maximum I/O base (minimum is 2) */ +#define MP_MAX_RADIX 64 + +typedef struct { + mp_sign flag; /* KM_SLEEP/KM_NOSLEEP */ + mp_sign sign; /* sign of this quantity */ + mp_size alloc; /* how many digits allocated */ + mp_size used; /* how many digits used */ + mp_digit *dp; /* the digits themselves */ +} mp_int; + +/* Default precision */ +mp_size mp_get_prec(void); +void mp_set_prec(mp_size prec); + +/* Memory management */ +mp_err mp_init(mp_int *mp, int kmflag); +mp_err mp_init_size(mp_int *mp, mp_size prec, int kmflag); +mp_err mp_init_copy(mp_int *mp, const mp_int *from); +mp_err mp_copy(const mp_int *from, mp_int *to); +void mp_exch(mp_int *mp1, mp_int *mp2); +void mp_clear(mp_int *mp); +void mp_zero(mp_int *mp); +void mp_set(mp_int *mp, mp_digit d); +mp_err mp_set_int(mp_int *mp, long z); +#define mp_set_long(mp,z) mp_set_int(mp,z) +mp_err mp_set_ulong(mp_int *mp, unsigned long z); + +/* Single digit arithmetic */ +mp_err mp_add_d(const mp_int *a, mp_digit d, mp_int *b); +mp_err mp_sub_d(const mp_int *a, mp_digit d, mp_int *b); +mp_err mp_mul_d(const mp_int *a, mp_digit d, mp_int *b); +mp_err mp_mul_2(const mp_int *a, mp_int *c); +mp_err mp_div_d(const mp_int *a, mp_digit d, mp_int *q, mp_digit *r); +mp_err mp_div_2(const mp_int *a, mp_int *c); +mp_err mp_expt_d(const mp_int *a, mp_digit d, mp_int *c); + +/* Sign manipulations */ +mp_err mp_abs(const mp_int *a, mp_int *b); +mp_err mp_neg(const mp_int *a, mp_int *b); + +/* Full arithmetic */ +mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c); +mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c); +#if MP_SQUARE +mp_err mp_sqr(const mp_int *a, mp_int *b); +#else +#define mp_sqr(a, b) mp_mul(a, a, b) +#endif +mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r); +mp_err mp_div_2d(const mp_int *a, mp_digit d, mp_int *q, mp_int *r); +mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_2expt(mp_int *a, mp_digit k); +mp_err mp_sqrt(const mp_int *a, mp_int *b); + +/* Modular arithmetic */ +#if MP_MODARITH +mp_err mp_mod(const mp_int *a, const mp_int *m, mp_int *c); +mp_err mp_mod_d(const mp_int *a, mp_digit d, mp_digit *c); +mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c); +mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c); +mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c); +#if MP_SQUARE +mp_err mp_sqrmod(const mp_int *a, const mp_int *m, mp_int *c); +#else +#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) +#endif +mp_err mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c); +mp_err mp_exptmod_d(const mp_int *a, mp_digit d, const mp_int *m, mp_int *c); +#endif /* MP_MODARITH */ + +/* Comparisons */ +int mp_cmp_z(const mp_int *a); +int mp_cmp_d(const mp_int *a, mp_digit d); +int mp_cmp(const mp_int *a, const mp_int *b); +int mp_cmp_mag(mp_int *a, mp_int *b); +int mp_cmp_int(const mp_int *a, long z, int kmflag); +int mp_isodd(const mp_int *a); +int mp_iseven(const mp_int *a); + +/* Number theoretic */ +#if MP_NUMTH +mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); +mp_err mp_xgcd(const mp_int *a, const mp_int *b, mp_int *g, mp_int *x, mp_int *y); +mp_err mp_invmod(const mp_int *a, const mp_int *m, mp_int *c); +mp_err mp_invmod_xgcd(const mp_int *a, const mp_int *m, mp_int *c); +#endif /* end MP_NUMTH */ + +/* Input and output */ +#if MP_IOFUNC +void mp_print(mp_int *mp, FILE *ofp); +#endif /* end MP_IOFUNC */ + +/* Base conversion */ +mp_err mp_read_raw(mp_int *mp, char *str, int len); +int mp_raw_size(mp_int *mp); +mp_err mp_toraw(mp_int *mp, char *str); +mp_err mp_read_radix(mp_int *mp, const char *str, int radix); +mp_err mp_read_variable_radix(mp_int *a, const char * str, int default_radix); +int mp_radix_size(mp_int *mp, int radix); +mp_err mp_toradix(mp_int *mp, char *str, int radix); +int mp_tovalue(char ch, int r); + +#define mp_tobinary(M, S) mp_toradix((M), (S), 2) +#define mp_tooctal(M, S) mp_toradix((M), (S), 8) +#define mp_todecimal(M, S) mp_toradix((M), (S), 10) +#define mp_tohex(M, S) mp_toradix((M), (S), 16) + +/* Error strings */ +const char *mp_strerror(mp_err ec); + +/* Octet string conversion functions */ +mp_err mp_read_unsigned_octets(mp_int *mp, const unsigned char *str, mp_size len); +int mp_unsigned_octet_size(const mp_int *mp); +mp_err mp_to_unsigned_octets(const mp_int *mp, unsigned char *str, mp_size maxlen); +mp_err mp_to_signed_octets(const mp_int *mp, unsigned char *str, mp_size maxlen); +mp_err mp_to_fixlen_octets(const mp_int *mp, unsigned char *str, mp_size len); + +/* Miscellaneous */ +mp_size mp_trailing_zeros(const mp_int *mp); + +#define MP_CHECKOK(x) if (MP_OKAY > (res = (x))) goto CLEANUP +#define MP_CHECKERR(x) if (MP_OKAY > (res = (x))) goto CLEANUP + +#if defined(MP_API_COMPATIBLE) +#define NEG MP_NEG +#define ZPOS MP_ZPOS +#define DIGIT_MAX MP_DIGIT_MAX +#define DIGIT_BIT MP_DIGIT_BIT +#define DIGIT_FMT MP_DIGIT_FMT +#define RADIX MP_RADIX +#define MAX_RADIX MP_MAX_RADIX +#define FLAG(MP) MP_FLAG(MP) +#define SIGN(MP) MP_SIGN(MP) +#define USED(MP) MP_USED(MP) +#define ALLOC(MP) MP_ALLOC(MP) +#define DIGITS(MP) MP_DIGITS(MP) +#define DIGIT(MP,N) MP_DIGIT(MP,N) + +#if MP_ARGCHK == 1 +#define ARGCHK(X,Y) {if(!(X)){return (Y);}} +#elif MP_ARGCHK == 2 +#ifdef _KERNEL +#define ARGCHK(X,Y) ASSERT(X) +#else +#include <assert.h> +#define ARGCHK(X,Y) assert(X) +#endif +#else +#define ARGCHK(X,Y) /* */ +#endif +#endif /* defined MP_API_COMPATIBLE */ + +#endif /* _MPI_H */ |