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comparison mtest/mpi.h @ 1:22d5cf7d4b1a libtommath

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author Matt Johnston <matt@ucc.asn.au>
date Mon, 31 May 2004 18:23:46 +0000
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children a96ff234ff19
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-1:000000000000 1:22d5cf7d4b1a
1 /*
2 mpi.h
3
4 by Michael J. Fromberger <[email protected]>
5 Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved
6
7 Arbitrary precision integer arithmetic library
8
9 $Id: mpi.h,v 1.1.1.1 2003/05/19 04:01:19 matt Exp $
10 */
11
12 #ifndef _H_MPI_
13 #define _H_MPI_
14
15 #include "mpi-config.h"
16
17 #define MP_LT -1
18 #define MP_EQ 0
19 #define MP_GT 1
20
21 #if MP_DEBUG
22 #undef MP_IOFUNC
23 #define MP_IOFUNC 1
24 #endif
25
26 #if MP_IOFUNC
27 #include <stdio.h>
28 #include <ctype.h>
29 #endif
30
31 #include <limits.h>
32
33 #define MP_NEG 1
34 #define MP_ZPOS 0
35
36 /* Included for compatibility... */
37 #define NEG MP_NEG
38 #define ZPOS MP_ZPOS
39
40 #define MP_OKAY 0 /* no error, all is well */
41 #define MP_YES 0 /* yes (boolean result) */
42 #define MP_NO -1 /* no (boolean result) */
43 #define MP_MEM -2 /* out of memory */
44 #define MP_RANGE -3 /* argument out of range */
45 #define MP_BADARG -4 /* invalid parameter */
46 #define MP_UNDEF -5 /* answer is undefined */
47 #define MP_LAST_CODE MP_UNDEF
48
49 #include "mpi-types.h"
50
51 /* Included for compatibility... */
52 #define DIGIT_BIT MP_DIGIT_BIT
53 #define DIGIT_MAX MP_DIGIT_MAX
54
55 /* Macros for accessing the mp_int internals */
56 #define SIGN(MP) ((MP)->sign)
57 #define USED(MP) ((MP)->used)
58 #define ALLOC(MP) ((MP)->alloc)
59 #define DIGITS(MP) ((MP)->dp)
60 #define DIGIT(MP,N) (MP)->dp[(N)]
61
62 #if MP_ARGCHK == 1
63 #define ARGCHK(X,Y) {if(!(X)){return (Y);}}
64 #elif MP_ARGCHK == 2
65 #include <assert.h>
66 #define ARGCHK(X,Y) assert(X)
67 #else
68 #define ARGCHK(X,Y) /* */
69 #endif
70
71 /* This defines the maximum I/O base (minimum is 2) */
72 #define MAX_RADIX 64
73
74 typedef struct {
75 mp_sign sign; /* sign of this quantity */
76 mp_size alloc; /* how many digits allocated */
77 mp_size used; /* how many digits used */
78 mp_digit *dp; /* the digits themselves */
79 } mp_int;
80
81 /*------------------------------------------------------------------------*/
82 /* Default precision */
83
84 unsigned int mp_get_prec(void);
85 void mp_set_prec(unsigned int prec);
86
87 /*------------------------------------------------------------------------*/
88 /* Memory management */
89
90 mp_err mp_init(mp_int *mp);
91 mp_err mp_init_array(mp_int mp[], int count);
92 mp_err mp_init_size(mp_int *mp, mp_size prec);
93 mp_err mp_init_copy(mp_int *mp, mp_int *from);
94 mp_err mp_copy(mp_int *from, mp_int *to);
95 void mp_exch(mp_int *mp1, mp_int *mp2);
96 void mp_clear(mp_int *mp);
97 void mp_clear_array(mp_int mp[], int count);
98 void mp_zero(mp_int *mp);
99 void mp_set(mp_int *mp, mp_digit d);
100 mp_err mp_set_int(mp_int *mp, long z);
101 mp_err mp_shrink(mp_int *a);
102
103
104 /*------------------------------------------------------------------------*/
105 /* Single digit arithmetic */
106
107 mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b);
108 mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b);
109 mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b);
110 mp_err mp_mul_2(mp_int *a, mp_int *c);
111 mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
112 mp_err mp_div_2(mp_int *a, mp_int *c);
113 mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c);
114
115 /*------------------------------------------------------------------------*/
116 /* Sign manipulations */
117
118 mp_err mp_abs(mp_int *a, mp_int *b);
119 mp_err mp_neg(mp_int *a, mp_int *b);
120
121 /*------------------------------------------------------------------------*/
122 /* Full arithmetic */
123
124 mp_err mp_add(mp_int *a, mp_int *b, mp_int *c);
125 mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c);
126 mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c);
127 mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c);
128 #if MP_SQUARE
129 mp_err mp_sqr(mp_int *a, mp_int *b);
130 #else
131 #define mp_sqr(a, b) mp_mul(a, a, b)
132 #endif
133 mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r);
134 mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r);
135 mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
136 mp_err mp_2expt(mp_int *a, mp_digit k);
137 mp_err mp_sqrt(mp_int *a, mp_int *b);
138
139 /*------------------------------------------------------------------------*/
140 /* Modular arithmetic */
141
142 #if MP_MODARITH
143 mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c);
144 mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c);
145 mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
146 mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
147 mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
148 #if MP_SQUARE
149 mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c);
150 #else
151 #define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
152 #endif
153 mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
154 mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c);
155 #endif /* MP_MODARITH */
156
157 /*------------------------------------------------------------------------*/
158 /* Comparisons */
159
160 int mp_cmp_z(mp_int *a);
161 int mp_cmp_d(mp_int *a, mp_digit d);
162 int mp_cmp(mp_int *a, mp_int *b);
163 int mp_cmp_mag(mp_int *a, mp_int *b);
164 int mp_cmp_int(mp_int *a, long z);
165 int mp_isodd(mp_int *a);
166 int mp_iseven(mp_int *a);
167
168 /*------------------------------------------------------------------------*/
169 /* Number theoretic */
170
171 #if MP_NUMTH
172 mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
173 mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
174 mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y);
175 mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c);
176 #endif /* end MP_NUMTH */
177
178 /*------------------------------------------------------------------------*/
179 /* Input and output */
180
181 #if MP_IOFUNC
182 void mp_print(mp_int *mp, FILE *ofp);
183 #endif /* end MP_IOFUNC */
184
185 /*------------------------------------------------------------------------*/
186 /* Base conversion */
187
188 #define BITS 1
189 #define BYTES CHAR_BIT
190
191 mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len);
192 int mp_signed_bin_size(mp_int *mp);
193 mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str);
194
195 mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len);
196 int mp_unsigned_bin_size(mp_int *mp);
197 mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str);
198
199 int mp_count_bits(mp_int *mp);
200
201 #if MP_COMPAT_MACROS
202 #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
203 #define mp_raw_size(mp) mp_signed_bin_size(mp)
204 #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
205 #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
206 #define mp_mag_size(mp) mp_unsigned_bin_size(mp)
207 #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
208 #endif
209
210 mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix);
211 int mp_radix_size(mp_int *mp, int radix);
212 int mp_value_radix_size(int num, int qty, int radix);
213 mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix);
214
215 int mp_char2value(char ch, int r);
216
217 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
218 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
219 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
220 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
221
222 /*------------------------------------------------------------------------*/
223 /* Error strings */
224
225 const char *mp_strerror(mp_err ec);
226
227 #endif /* end _H_MPI_ */