andre@0: /*
andre@0: * mpi.h
andre@0: *
andre@0: * Arbitrary precision integer arithmetic library
andre@0: *
andre@0: * This Source Code Form is subject to the terms of the Mozilla Public
andre@0: * License, v. 2.0. If a copy of the MPL was not distributed with this
andre@0: * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
andre@0:
andre@0: #ifndef _H_MPI_
andre@0: #define _H_MPI_
andre@0:
andre@0: #include "mpi-config.h"
andre@0:
andre@0: #if MP_DEBUG
andre@0: #undef MP_IOFUNC
andre@0: #define MP_IOFUNC 1
andre@0: #endif
andre@0:
andre@0: #if MP_IOFUNC
andre@0: #include <stdio.h>
andre@0: #include <ctype.h>
andre@0: #endif
andre@0:
andre@0: #include <limits.h>
andre@0:
andre@0: #if defined(BSDI)
andre@0: #undef ULLONG_MAX
andre@0: #endif
andre@0:
andre@0: #include <sys/types.h>
andre@0:
andre@0: #define MP_NEG 1
andre@0: #define MP_ZPOS 0
andre@0:
andre@0: #define MP_OKAY 0 /* no error, all is well */
andre@0: #define MP_YES 0 /* yes (boolean result) */
andre@0: #define MP_NO -1 /* no (boolean result) */
andre@0: #define MP_MEM -2 /* out of memory */
andre@0: #define MP_RANGE -3 /* argument out of range */
andre@0: #define MP_BADARG -4 /* invalid parameter */
andre@0: #define MP_UNDEF -5 /* answer is undefined */
andre@0: #define MP_LAST_CODE MP_UNDEF
andre@0:
andre@0: typedef unsigned int mp_sign;
andre@0: typedef unsigned int mp_size;
andre@0: typedef int mp_err;
andre@0:
andre@0: #define MP_32BIT_MAX 4294967295U
andre@0:
andre@0: #if !defined(ULONG_MAX)
andre@0: #error "ULONG_MAX not defined"
andre@0: #elif !defined(UINT_MAX)
andre@0: #error "UINT_MAX not defined"
andre@0: #elif !defined(USHRT_MAX)
andre@0: #error "USHRT_MAX not defined"
andre@0: #endif
andre@0:
andre@0: #if defined(ULLONG_MAX) /* C99, Solaris */
andre@0: #define MP_ULONG_LONG_MAX ULLONG_MAX
andre@0: /* MP_ULONG_LONG_MAX was defined to be ULLONG_MAX */
andre@0: #elif defined(ULONG_LONG_MAX) /* HPUX */
andre@0: #define MP_ULONG_LONG_MAX ULONG_LONG_MAX
andre@0: #elif defined(ULONGLONG_MAX) /* IRIX, AIX */
andre@0: #define MP_ULONG_LONG_MAX ULONGLONG_MAX
andre@0: #endif
andre@0:
andre@0: /* We only use unsigned long for mp_digit iff long is more than 32 bits. */
andre@0: #if !defined(MP_USE_UINT_DIGIT) && ULONG_MAX > MP_32BIT_MAX
andre@0: typedef unsigned long mp_digit;
andre@0: #define MP_DIGIT_MAX ULONG_MAX
andre@0: #define MP_DIGIT_FMT "%016lX" /* printf() format for 1 digit */
andre@0: #define MP_HALF_DIGIT_MAX UINT_MAX
andre@0: #undef MP_NO_MP_WORD
andre@0: #define MP_NO_MP_WORD 1
andre@0: #undef MP_USE_LONG_DIGIT
andre@0: #define MP_USE_LONG_DIGIT 1
andre@0: #undef MP_USE_LONG_LONG_DIGIT
andre@0:
andre@0: #elif !defined(MP_USE_UINT_DIGIT) && defined(MP_ULONG_LONG_MAX)
andre@0: typedef unsigned long long mp_digit;
andre@0: #define MP_DIGIT_MAX MP_ULONG_LONG_MAX
andre@0: #define MP_DIGIT_FMT "%016llX" /* printf() format for 1 digit */
andre@0: #define MP_HALF_DIGIT_MAX UINT_MAX
andre@0: #undef MP_NO_MP_WORD
andre@0: #define MP_NO_MP_WORD 1
andre@0: #undef MP_USE_LONG_LONG_DIGIT
andre@0: #define MP_USE_LONG_LONG_DIGIT 1
andre@0: #undef MP_USE_LONG_DIGIT
andre@0:
andre@0: #else
andre@0: typedef unsigned int mp_digit;
andre@0: #define MP_DIGIT_MAX UINT_MAX
andre@0: #define MP_DIGIT_FMT "%08X" /* printf() format for 1 digit */
andre@0: #define MP_HALF_DIGIT_MAX USHRT_MAX
andre@0: #undef MP_USE_UINT_DIGIT
andre@0: #define MP_USE_UINT_DIGIT 1
andre@0: #undef MP_USE_LONG_LONG_DIGIT
andre@0: #undef MP_USE_LONG_DIGIT
andre@0: #endif
andre@0:
andre@0: #if !defined(MP_NO_MP_WORD)
andre@0: #if defined(MP_USE_UINT_DIGIT) && \
andre@0: (defined(MP_ULONG_LONG_MAX) || (ULONG_MAX > UINT_MAX))
andre@0:
andre@0: #if (ULONG_MAX > UINT_MAX)
andre@0: typedef unsigned long mp_word;
andre@0: typedef long mp_sword;
andre@0: #define MP_WORD_MAX ULONG_MAX
andre@0:
andre@0: #else
andre@0: typedef unsigned long long mp_word;
andre@0: typedef long long mp_sword;
andre@0: #define MP_WORD_MAX MP_ULONG_LONG_MAX
andre@0: #endif
andre@0:
andre@0: #else
andre@0: #define MP_NO_MP_WORD 1
andre@0: #endif
andre@0: #endif /* !defined(MP_NO_MP_WORD) */
andre@0:
andre@0: #if !defined(MP_WORD_MAX) && defined(MP_DEFINE_SMALL_WORD)
andre@0: typedef unsigned int mp_word;
andre@0: typedef int mp_sword;
andre@0: #define MP_WORD_MAX UINT_MAX
andre@0: #endif
andre@0:
andre@0: #define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit))
andre@0: #define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word))
andre@0: #define MP_RADIX (1+(mp_word)MP_DIGIT_MAX)
andre@0:
andre@0: #define MP_HALF_DIGIT_BIT (MP_DIGIT_BIT/2)
andre@0: #define MP_HALF_RADIX (1+(mp_digit)MP_HALF_DIGIT_MAX)
andre@0: /* MP_HALF_RADIX really ought to be called MP_SQRT_RADIX, but it's named
andre@0: ** MP_HALF_RADIX because it's the radix for MP_HALF_DIGITs, and it's
andre@0: ** consistent with the other _HALF_ names.
andre@0: */
andre@0:
andre@0:
andre@0: /* Macros for accessing the mp_int internals */
andre@0: #define MP_SIGN(MP) ((MP)->sign)
andre@0: #define MP_USED(MP) ((MP)->used)
andre@0: #define MP_ALLOC(MP) ((MP)->alloc)
andre@0: #define MP_DIGITS(MP) ((MP)->dp)
andre@0: #define MP_DIGIT(MP,N) (MP)->dp[(N)]
andre@0:
andre@0: /* This defines the maximum I/O base (minimum is 2) */
andre@0: #define MP_MAX_RADIX 64
andre@0:
andre@0: typedef struct {
andre@0: mp_sign sign; /* sign of this quantity */
andre@0: mp_size alloc; /* how many digits allocated */
andre@0: mp_size used; /* how many digits used */
andre@0: mp_digit *dp; /* the digits themselves */
andre@0: } mp_int;
andre@0:
andre@0: /* Default precision */
andre@0: mp_size mp_get_prec(void);
andre@0: void mp_set_prec(mp_size prec);
andre@0:
andre@0: /* Memory management */
andre@0: mp_err mp_init(mp_int *mp);
andre@0: mp_err mp_init_size(mp_int *mp, mp_size prec);
andre@0: mp_err mp_init_copy(mp_int *mp, const mp_int *from);
andre@0: mp_err mp_copy(const mp_int *from, mp_int *to);
andre@0: void mp_exch(mp_int *mp1, mp_int *mp2);
andre@0: void mp_clear(mp_int *mp);
andre@0: void mp_zero(mp_int *mp);
andre@0: void mp_set(mp_int *mp, mp_digit d);
andre@0: mp_err mp_set_int(mp_int *mp, long z);
andre@0: #define mp_set_long(mp,z) mp_set_int(mp,z)
andre@0: mp_err mp_set_ulong(mp_int *mp, unsigned long z);
andre@0:
andre@0: /* Single digit arithmetic */
andre@0: mp_err mp_add_d(const mp_int *a, mp_digit d, mp_int *b);
andre@0: mp_err mp_sub_d(const mp_int *a, mp_digit d, mp_int *b);
andre@0: mp_err mp_mul_d(const mp_int *a, mp_digit d, mp_int *b);
andre@0: mp_err mp_mul_2(const mp_int *a, mp_int *c);
andre@0: mp_err mp_div_d(const mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
andre@0: mp_err mp_div_2(const mp_int *a, mp_int *c);
andre@0: mp_err mp_expt_d(const mp_int *a, mp_digit d, mp_int *c);
andre@0:
andre@0: /* Sign manipulations */
andre@0: mp_err mp_abs(const mp_int *a, mp_int *b);
andre@0: mp_err mp_neg(const mp_int *a, mp_int *b);
andre@0:
andre@0: /* Full arithmetic */
andre@0: mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c);
andre@0: mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c);
andre@0: mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c);
andre@0: #if MP_SQUARE
andre@0: mp_err mp_sqr(const mp_int *a, mp_int *b);
andre@0: #else
andre@0: #define mp_sqr(a, b) mp_mul(a, a, b)
andre@0: #endif
andre@0: mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r);
andre@0: mp_err mp_div_2d(const mp_int *a, mp_digit d, mp_int *q, mp_int *r);
andre@0: mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
andre@0: mp_err mp_2expt(mp_int *a, mp_digit k);
andre@0: mp_err mp_sqrt(const mp_int *a, mp_int *b);
andre@0:
andre@0: /* Modular arithmetic */
andre@0: #if MP_MODARITH
andre@0: mp_err mp_mod(const mp_int *a, const mp_int *m, mp_int *c);
andre@0: mp_err mp_mod_d(const mp_int *a, mp_digit d, mp_digit *c);
andre@0: mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
andre@0: mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
andre@0: mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
andre@0: #if MP_SQUARE
andre@0: mp_err mp_sqrmod(const mp_int *a, const mp_int *m, mp_int *c);
andre@0: #else
andre@0: #define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
andre@0: #endif
andre@0: mp_err mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
andre@0: mp_err mp_exptmod_d(const mp_int *a, mp_digit d, const mp_int *m, mp_int *c);
andre@0: #endif /* MP_MODARITH */
andre@0:
andre@0: /* Comparisons */
andre@0: int mp_cmp_z(const mp_int *a);
andre@0: int mp_cmp_d(const mp_int *a, mp_digit d);
andre@0: int mp_cmp(const mp_int *a, const mp_int *b);
andre@0: int mp_cmp_mag(mp_int *a, mp_int *b);
andre@0: int mp_cmp_int(const mp_int *a, long z);
andre@0: int mp_isodd(const mp_int *a);
andre@0: int mp_iseven(const mp_int *a);
andre@0:
andre@0: /* Number theoretic */
andre@0: #if MP_NUMTH
andre@0: mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
andre@0: mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
andre@0: mp_err mp_xgcd(const mp_int *a, const mp_int *b, mp_int *g, mp_int *x, mp_int *y);
andre@0: mp_err mp_invmod(const mp_int *a, const mp_int *m, mp_int *c);
andre@0: mp_err mp_invmod_xgcd(const mp_int *a, const mp_int *m, mp_int *c);
andre@0: #endif /* end MP_NUMTH */
andre@0:
andre@0: /* Input and output */
andre@0: #if MP_IOFUNC
andre@0: void mp_print(mp_int *mp, FILE *ofp);
andre@0: #endif /* end MP_IOFUNC */
andre@0:
andre@0: /* Base conversion */
andre@0: mp_err mp_read_raw(mp_int *mp, char *str, int len);
andre@0: int mp_raw_size(mp_int *mp);
andre@0: mp_err mp_toraw(mp_int *mp, char *str);
andre@0: mp_err mp_read_radix(mp_int *mp, const char *str, int radix);
andre@0: mp_err mp_read_variable_radix(mp_int *a, const char * str, int default_radix);
andre@0: int mp_radix_size(mp_int *mp, int radix);
andre@0: mp_err mp_toradix(mp_int *mp, char *str, int radix);
andre@0: int mp_tovalue(char ch, int r);
andre@0:
andre@0: #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
andre@0: #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
andre@0: #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
andre@0: #define mp_tohex(M, S) mp_toradix((M), (S), 16)
andre@0:
andre@0: /* Error strings */
andre@0: const char *mp_strerror(mp_err ec);
andre@0:
andre@0: /* Octet string conversion functions */
andre@0: mp_err mp_read_unsigned_octets(mp_int *mp, const unsigned char *str, mp_size len);
andre@0: int mp_unsigned_octet_size(const mp_int *mp);
andre@0: mp_err mp_to_unsigned_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
andre@0: mp_err mp_to_signed_octets(const mp_int *mp, unsigned char *str, mp_size maxlen);
andre@0: mp_err mp_to_fixlen_octets(const mp_int *mp, unsigned char *str, mp_size len);
andre@0:
andre@0: /* Miscellaneous */
andre@0: mp_size mp_trailing_zeros(const mp_int *mp);
andre@0: void freebl_cpuid(unsigned long op, unsigned long *eax,
andre@0: unsigned long *ebx, unsigned long *ecx,
andre@0: unsigned long *edx);
andre@0:
andre@0:
andre@0: #define MP_CHECKOK(x) if (MP_OKAY > (res = (x))) goto CLEANUP
andre@0: #define MP_CHECKERR(x) if (MP_OKAY > (res = (x))) goto CLEANUP
andre@0:
andre@0: #if defined(MP_API_COMPATIBLE)
andre@0: #define NEG MP_NEG
andre@0: #define ZPOS MP_ZPOS
andre@0: #define DIGIT_MAX MP_DIGIT_MAX
andre@0: #define DIGIT_BIT MP_DIGIT_BIT
andre@0: #define DIGIT_FMT MP_DIGIT_FMT
andre@0: #define RADIX MP_RADIX
andre@0: #define MAX_RADIX MP_MAX_RADIX
andre@0: #define SIGN(MP) MP_SIGN(MP)
andre@0: #define USED(MP) MP_USED(MP)
andre@0: #define ALLOC(MP) MP_ALLOC(MP)
andre@0: #define DIGITS(MP) MP_DIGITS(MP)
andre@0: #define DIGIT(MP,N) MP_DIGIT(MP,N)
andre@0:
andre@0: #if MP_ARGCHK == 1
andre@0: #define ARGCHK(X,Y) {if(!(X)){return (Y);}}
andre@0: #elif MP_ARGCHK == 2
andre@0: #include <assert.h>
andre@0: #define ARGCHK(X,Y) assert(X)
andre@0: #else
andre@0: #define ARGCHK(X,Y) /* */
andre@0: #endif
andre@0: #endif /* defined MP_API_COMPATIBLE */
andre@0:
andre@0: #endif /* end _H_MPI_ */