226 lines
7.5 KiB
C
226 lines
7.5 KiB
C
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/*
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mpi.h
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by Michael J. Fromberger <sting@linguist.dartmouth.edu>
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Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved
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Arbitrary precision integer arithmetic library
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$ID$
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*/
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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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#define MP_LT -1
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#define MP_EQ 0
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#define MP_GT 1
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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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#define MP_NEG 1
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#define MP_ZPOS 0
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/* Included for compatibility... */
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#define NEG MP_NEG
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#define ZPOS MP_ZPOS
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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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#include "mpi-types.h"
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/* Included for compatibility... */
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#define DIGIT_BIT MP_DIGIT_BIT
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#define DIGIT_MAX MP_DIGIT_MAX
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/* Macros for accessing the mp_int internals */
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#define SIGN(MP) ((MP)->sign)
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#define USED(MP) ((MP)->used)
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#define ALLOC(MP) ((MP)->alloc)
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#define DIGITS(MP) ((MP)->dp)
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#define DIGIT(MP,N) (MP)->dp[(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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/* This defines the maximum I/O base (minimum is 2) */
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#define 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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/*------------------------------------------------------------------------*/
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/* Default precision */
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unsigned int mp_get_prec(void);
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void mp_set_prec(unsigned int prec);
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/*------------------------------------------------------------------------*/
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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_array(mp_int mp[], int count);
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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, mp_int *from);
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mp_err mp_copy(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_clear_array(mp_int mp[], int count);
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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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/*------------------------------------------------------------------------*/
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/* Single digit arithmetic */
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mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b);
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mp_err mp_mul_2(mp_int *a, mp_int *c);
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mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
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mp_err mp_div_2(mp_int *a, mp_int *c);
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mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c);
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/*------------------------------------------------------------------------*/
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/* Sign manipulations */
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mp_err mp_abs(mp_int *a, mp_int *b);
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mp_err mp_neg(mp_int *a, mp_int *b);
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/*------------------------------------------------------------------------*/
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/* Full arithmetic */
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mp_err mp_add(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c);
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mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c);
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#if MP_SQUARE
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mp_err mp_sqr(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(mp_int *a, mp_int *b, mp_int *q, mp_int *r);
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mp_err mp_div_2d(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(mp_int *a, mp_int *b);
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/*------------------------------------------------------------------------*/
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/* Modular arithmetic */
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#if MP_MODARITH
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mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c);
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mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c);
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mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
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mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
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mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
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#if MP_SQUARE
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mp_err mp_sqrmod(mp_int *a, 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(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
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mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c);
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#endif /* MP_MODARITH */
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/*------------------------------------------------------------------------*/
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/* Comparisons */
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int mp_cmp_z(mp_int *a);
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int mp_cmp_d(mp_int *a, mp_digit d);
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int mp_cmp(mp_int *a, 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(mp_int *a, long z);
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int mp_isodd(mp_int *a);
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int mp_iseven(mp_int *a);
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/*------------------------------------------------------------------------*/
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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(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y);
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mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c);
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#endif /* end MP_NUMTH */
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/*------------------------------------------------------------------------*/
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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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/*------------------------------------------------------------------------*/
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/* Base conversion */
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#define BITS 1
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#define BYTES CHAR_BIT
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mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len);
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int mp_signed_bin_size(mp_int *mp);
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mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str);
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mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len);
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int mp_unsigned_bin_size(mp_int *mp);
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mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str);
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int mp_count_bits(mp_int *mp);
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#if MP_COMPAT_MACROS
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#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
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#define mp_raw_size(mp) mp_signed_bin_size(mp)
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#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
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#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
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#define mp_mag_size(mp) mp_unsigned_bin_size(mp)
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#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
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#endif
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mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix);
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int mp_radix_size(mp_int *mp, int radix);
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int mp_value_radix_size(int num, int qty, int radix);
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mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix);
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int mp_char2value(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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/*------------------------------------------------------------------------*/
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/* Error strings */
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const char *mp_strerror(mp_err ec);
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#endif /* end _H_MPI_ */
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