/*
mpi.h
by Michael J. Fromberger
Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved
Arbitrary precision integer arithmetic library
modified for use in Meanwhile as a convenience library
*/
#ifndef _H_MPI_
#define _H_MPI_
#include "mpi-config.h"
#if MP_DEBUG
#undef MP_IOFUNC
#define MP_IOFUNC 1
#endif
#if MP_IOFUNC
#include
#include
#endif
#include
#define MP_NEG 1
#define MP_ZPOS 0
/* Included for compatibility... */
#define NEG MP_NEG
#define ZPOS MP_ZPOS
#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
#include "mpi-types.h"
/* Included for compatibility... */
#define DIGIT_BIT MP_DIGIT_BIT
#define DIGIT_MAX MP_DIGIT_MAX
/* Macros for accessing the mw_mp_int internals */
#define SIGN(MP) ((MP)->sign)
#define USED(MP) ((MP)->used)
#define ALLOC(MP) ((MP)->alloc)
#define DIGITS(MP) ((MP)->dp)
#define DIGIT(MP,N) (MP)->dp[(N)]
#if MP_ARGCHK == 1
#define ARGCHK(X,Y) {if(!(X)){return (Y);}}
#elif MP_ARGCHK == 2
#include
#define ARGCHK(X,Y) assert(X)
#else
#define ARGCHK(X,Y) /* */
#endif
/* This defines the maximum I/O base (minimum is 2) */
#define MAX_RADIX 64
typedef struct {
mw_mp_sign sign; /* sign of this quantity */
mw_mp_size alloc; /* how many digits allocated */
mw_mp_size used; /* how many digits used */
mw_mp_digit *dp; /* the digits themselves */
} mw_mp_int;
/*------------------------------------------------------------------------*/
/* Default precision */
unsigned int mw_mp_get_prec(void);
void mw_mp_set_prec(unsigned int prec);
/*------------------------------------------------------------------------*/
/* Memory management */
mw_mp_err mw_mp_init(mw_mp_int *mp);
mw_mp_err mw_mp_init_array(mw_mp_int mp[], int count);
mw_mp_err mw_mp_init_size(mw_mp_int *mp, mw_mp_size prec);
mw_mp_err mw_mp_init_copy(mw_mp_int *mp, mw_mp_int *from);
mw_mp_err mw_mp_copy(mw_mp_int *from, mw_mp_int *to);
void mw_mp_exch(mw_mp_int *mp1, mw_mp_int *mp2);
void mw_mp_clear(mw_mp_int *mp);
void mw_mp_clear_array(mw_mp_int mp[], int count);
void mw_mp_zero(mw_mp_int *mp);
void mw_mp_set(mw_mp_int *mp, mw_mp_digit d);
mw_mp_err mw_mp_set_int(mw_mp_int *mp, long z);
/*------------------------------------------------------------------------*/
/* Single digit arithmetic */
mw_mp_err mw_mp_add_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *b);
mw_mp_err mw_mp_sub_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *b);
mw_mp_err mw_mp_mul_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *b);
mw_mp_err mw_mp_mul_2(mw_mp_int *a, mw_mp_int *c);
mw_mp_err mw_mp_div_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *q, mw_mp_digit *r);
mw_mp_err mw_mp_div_2(mw_mp_int *a, mw_mp_int *c);
mw_mp_err mw_mp_expt_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *c);
/*------------------------------------------------------------------------*/
/* Sign manipulations */
mw_mp_err mw_mp_abs(mw_mp_int *a, mw_mp_int *b);
mw_mp_err mw_mp_neg(mw_mp_int *a, mw_mp_int *b);
/*------------------------------------------------------------------------*/
/* Full arithmetic */
mw_mp_err mw_mp_add(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_sub(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_mul(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_mul_2d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *c);
#if MP_SQUARE
mw_mp_err mw_mp_sqr(mw_mp_int *a, mw_mp_int *b);
#else
#define mw_mp_sqr(a, b) mw_mp_mul(a, a, b)
#endif
mw_mp_err mw_mp_div(mw_mp_int *a, mw_mp_int *b, mw_mp_int *q, mw_mp_int *r);
mw_mp_err mw_mp_div_2d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *q, mw_mp_int *r);
mw_mp_err mw_mp_expt(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_2expt(mw_mp_int *a, mw_mp_digit k);
mw_mp_err mw_mp_sqrt(mw_mp_int *a, mw_mp_int *b);
/*------------------------------------------------------------------------*/
/* Modular arithmetic */
#if MP_MODARITH
mw_mp_err mw_mp_mod(mw_mp_int *a, mw_mp_int *m, mw_mp_int *c);
mw_mp_err mw_mp_mod_d(mw_mp_int *a, mw_mp_digit d, mw_mp_digit *c);
mw_mp_err mw_mp_addmod(mw_mp_int *a, mw_mp_int *b, mw_mp_int *m, mw_mp_int *c);
mw_mp_err mw_mp_submod(mw_mp_int *a, mw_mp_int *b, mw_mp_int *m, mw_mp_int *c);
mw_mp_err mw_mp_mulmod(mw_mp_int *a, mw_mp_int *b, mw_mp_int *m, mw_mp_int *c);
#if MP_SQUARE
mw_mp_err mw_mp_sqrmod(mw_mp_int *a, mw_mp_int *m, mw_mp_int *c);
#else
#define mw_mp_sqrmod(a, m, c) mw_mp_mulmod(a, a, m, c)
#endif
mw_mp_err mw_mp_exptmod(mw_mp_int *a, mw_mp_int *b, mw_mp_int *m, mw_mp_int *c);
mw_mp_err mw_mp_exptmod_d(mw_mp_int *a, mw_mp_digit d, mw_mp_int *m, mw_mp_int *c);
#endif /* MP_MODARITH */
/*------------------------------------------------------------------------*/
/* Comparisons */
int mw_mp_cmw_mp_z(mw_mp_int *a);
int mw_mp_cmw_mp_d(mw_mp_int *a, mw_mp_digit d);
int mw_mp_cmp(mw_mp_int *a, mw_mp_int *b);
int mw_mp_cmw_mp_mag(mw_mp_int *a, mw_mp_int *b);
int mw_mp_cmw_mp_int(mw_mp_int *a, long z);
int mw_mp_isodd(mw_mp_int *a);
int mw_mp_iseven(mw_mp_int *a);
/*------------------------------------------------------------------------*/
/* Number theoretic */
#if MP_NUMTH
mw_mp_err mw_mp_gcd(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_lcm(mw_mp_int *a, mw_mp_int *b, mw_mp_int *c);
mw_mp_err mw_mp_xgcd(mw_mp_int *a, mw_mp_int *b, mw_mp_int *g, mw_mp_int *x, mw_mp_int *y);
mw_mp_err mw_mp_invmod(mw_mp_int *a, mw_mp_int *m, mw_mp_int *c);
#endif /* end MP_NUMTH */
/*------------------------------------------------------------------------*/
/* Input and output */
#if MP_IOFUNC
void mw_mp_print(mw_mp_int *mp, FILE *ofp);
#endif /* end MP_IOFUNC */
/*------------------------------------------------------------------------*/
/* Base conversion */
#define BITS 1
#define BYTES CHAR_BIT
mw_mp_err mw_mp_read_signed_bin(mw_mp_int *mp, unsigned char *str, int len);
int mw_mp_signed_bin_size(mw_mp_int *mp);
mw_mp_err mw_mp_to_signed_bin(mw_mp_int *mp, unsigned char *str);
mw_mp_err mw_mp_read_unsigned_bin(mw_mp_int *mp, unsigned char *str, int len);
int mw_mp_unsigned_bin_size(mw_mp_int *mp);
mw_mp_err mw_mp_to_unsigned_bin(mw_mp_int *mp, unsigned char *str);
int mw_mp_count_bits(mw_mp_int *mp);
#if MP_COMPAT_MACROS
#define mw_mp_read_raw(mp, str, len) mw_mp_read_signed_bin((mp), (str), (len))
#define mw_mp_raw_size(mp) mw_mp_signed_bin_size(mp)
#define mw_mp_toraw(mp, str) mw_mp_to_signed_bin((mp), (str))
#define mw_mp_read_mag(mp, str, len) mw_mp_read_unsigned_bin((mp), (str), (len))
#define mw_mp_mag_size(mp) mw_mp_unsigned_bin_size(mp)
#define mw_mp_tomag(mp, str) mw_mp_to_unsigned_bin((mp), (str))
#endif
mw_mp_err mw_mp_read_radix(mw_mp_int *mp, unsigned char *str, int radix);
int mw_mp_radix_size(mw_mp_int *mp, int radix);
int mw_mp_value_radix_size(int num, int qty, int radix);
mw_mp_err mw_mp_toradix(mw_mp_int *mp, unsigned char *str, int radix);
int mw_mp_char2value(char ch, int r);
#define mw_mp_tobinary(M, S) mw_mp_toradix((M), (S), 2)
#define mw_mp_tooctal(M, S) mw_mp_toradix((M), (S), 8)
#define mw_mp_todecimal(M, S) mw_mp_toradix((M), (S), 10)
#define mw_mp_tohex(M, S) mw_mp_toradix((M), (S), 16)
/*------------------------------------------------------------------------*/
/* Error strings */
const char *mw_mp_strerror(mw_mp_err ec);
#endif /* end _H_MPI_ */