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Side by Side Diff: nss/lib/freebl/mpi/mpi.h

Issue 2078763002: Delete bundled copy of NSS and replace with README. (Closed) Base URL: https://chromium.googlesource.com/chromium/deps/nss@master
Patch Set: Delete bundled copy of NSS and replace with README. Created 4 years, 6 months ago
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1 /*
2 * mpi.h
3 *
4 * Arbitrary precision integer arithmetic library
5 *
6 * This Source Code Form is subject to the terms of the Mozilla Public
7 * License, v. 2.0. If a copy of the MPL was not distributed with this
8 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
9
10 #ifndef _H_MPI_
11 #define _H_MPI_
12
13 #include "mpi-config.h"
14
15 #if MP_DEBUG
16 #undef MP_IOFUNC
17 #define MP_IOFUNC 1
18 #endif
19
20 #if MP_IOFUNC
21 #include <stdio.h>
22 #include <ctype.h>
23 #endif
24
25 #include <limits.h>
26
27 #if defined(BSDI)
28 #undef ULLONG_MAX
29 #endif
30
31 #include <sys/types.h>
32
33 #define MP_NEG 1
34 #define MP_ZPOS 0
35
36 #define MP_OKAY 0 /* no error, all is well */
37 #define MP_YES 0 /* yes (boolean result) */
38 #define MP_NO -1 /* no (boolean result) */
39 #define MP_MEM -2 /* out of memory */
40 #define MP_RANGE -3 /* argument out of range */
41 #define MP_BADARG -4 /* invalid parameter */
42 #define MP_UNDEF -5 /* answer is undefined */
43 #define MP_LAST_CODE MP_UNDEF
44
45 typedef unsigned int mp_sign;
46 typedef unsigned int mp_size;
47 typedef int mp_err;
48
49 #define MP_32BIT_MAX 4294967295U
50
51 #if !defined(ULONG_MAX)
52 #error "ULONG_MAX not defined"
53 #elif !defined(UINT_MAX)
54 #error "UINT_MAX not defined"
55 #elif !defined(USHRT_MAX)
56 #error "USHRT_MAX not defined"
57 #endif
58
59 #if defined(ULLONG_MAX) /* C99, Solaris */
60 #define MP_ULONG_LONG_MAX ULLONG_MAX
61 /* MP_ULONG_LONG_MAX was defined to be ULLONG_MAX */
62 #elif defined(ULONG_LONG_MAX) /* HPUX */
63 #define MP_ULONG_LONG_MAX ULONG_LONG_MAX
64 #elif defined(ULONGLONG_MAX) /* IRIX, AIX */
65 #define MP_ULONG_LONG_MAX ULONGLONG_MAX
66 #endif
67
68 /* We only use unsigned long for mp_digit iff long is more than 32 bits. */
69 #if !defined(MP_USE_UINT_DIGIT) && ULONG_MAX > MP_32BIT_MAX
70 typedef unsigned long mp_digit;
71 #define MP_DIGIT_MAX ULONG_MAX
72 #define MP_DIGIT_FMT "%016lX" /* printf() format for 1 digit */
73 #define MP_HALF_DIGIT_MAX UINT_MAX
74 #undef MP_NO_MP_WORD
75 #define MP_NO_MP_WORD 1
76 #undef MP_USE_LONG_DIGIT
77 #define MP_USE_LONG_DIGIT 1
78 #undef MP_USE_LONG_LONG_DIGIT
79
80 #elif !defined(MP_USE_UINT_DIGIT) && defined(MP_ULONG_LONG_MAX)
81 typedef unsigned long long mp_digit;
82 #define MP_DIGIT_MAX MP_ULONG_LONG_MAX
83 #define MP_DIGIT_FMT "%016llX" /* printf() format for 1 digit */
84 #define MP_HALF_DIGIT_MAX UINT_MAX
85 #undef MP_NO_MP_WORD
86 #define MP_NO_MP_WORD 1
87 #undef MP_USE_LONG_LONG_DIGIT
88 #define MP_USE_LONG_LONG_DIGIT 1
89 #undef MP_USE_LONG_DIGIT
90
91 #else
92 typedef unsigned int mp_digit;
93 #define MP_DIGIT_MAX UINT_MAX
94 #define MP_DIGIT_FMT "%08X" /* printf() format for 1 digit */
95 #define MP_HALF_DIGIT_MAX USHRT_MAX
96 #undef MP_USE_UINT_DIGIT
97 #define MP_USE_UINT_DIGIT 1
98 #undef MP_USE_LONG_LONG_DIGIT
99 #undef MP_USE_LONG_DIGIT
100 #endif
101
102 #if !defined(MP_NO_MP_WORD)
103 #if defined(MP_USE_UINT_DIGIT) && \
104 (defined(MP_ULONG_LONG_MAX) || (ULONG_MAX > UINT_MAX))
105
106 #if (ULONG_MAX > UINT_MAX)
107 typedef unsigned long mp_word;
108 typedef long mp_sword;
109 #define MP_WORD_MAX ULONG_MAX
110
111 #else
112 typedef unsigned long long mp_word;
113 typedef long long mp_sword;
114 #define MP_WORD_MAX MP_ULONG_LONG_MAX
115 #endif
116
117 #else
118 #define MP_NO_MP_WORD 1
119 #endif
120 #endif /* !defined(MP_NO_MP_WORD) */
121
122 #if !defined(MP_WORD_MAX) && defined(MP_DEFINE_SMALL_WORD)
123 typedef unsigned int mp_word;
124 typedef int mp_sword;
125 #define MP_WORD_MAX UINT_MAX
126 #endif
127
128 #define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit))
129 #define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word))
130 #define MP_RADIX (1+(mp_word)MP_DIGIT_MAX)
131
132 #define MP_HALF_DIGIT_BIT (MP_DIGIT_BIT/2)
133 #define MP_HALF_RADIX (1+(mp_digit)MP_HALF_DIGIT_MAX)
134 /* MP_HALF_RADIX really ought to be called MP_SQRT_RADIX, but it's named
135 ** MP_HALF_RADIX because it's the radix for MP_HALF_DIGITs, and it's
136 ** consistent with the other _HALF_ names.
137 */
138
139
140 /* Macros for accessing the mp_int internals */
141 #define MP_SIGN(MP) ((MP)->sign)
142 #define MP_USED(MP) ((MP)->used)
143 #define MP_ALLOC(MP) ((MP)->alloc)
144 #define MP_DIGITS(MP) ((MP)->dp)
145 #define MP_DIGIT(MP,N) (MP)->dp[(N)]
146
147 /* This defines the maximum I/O base (minimum is 2) */
148 #define MP_MAX_RADIX 64
149
150 typedef struct {
151 mp_sign sign; /* sign of this quantity */
152 mp_size alloc; /* how many digits allocated */
153 mp_size used; /* how many digits used */
154 mp_digit *dp; /* the digits themselves */
155 } mp_int;
156
157 /* Default precision */
158 mp_size mp_get_prec(void);
159 void mp_set_prec(mp_size prec);
160
161 /* Memory management */
162 mp_err mp_init(mp_int *mp);
163 mp_err mp_init_size(mp_int *mp, mp_size prec);
164 mp_err mp_init_copy(mp_int *mp, const mp_int *from);
165 mp_err mp_copy(const mp_int *from, mp_int *to);
166 void mp_exch(mp_int *mp1, mp_int *mp2);
167 void mp_clear(mp_int *mp);
168 void mp_zero(mp_int *mp);
169 void mp_set(mp_int *mp, mp_digit d);
170 mp_err mp_set_int(mp_int *mp, long z);
171 #define mp_set_long(mp,z) mp_set_int(mp,z)
172 mp_err mp_set_ulong(mp_int *mp, unsigned long z);
173
174 /* Single digit arithmetic */
175 mp_err mp_add_d(const mp_int *a, mp_digit d, mp_int *b);
176 mp_err mp_sub_d(const mp_int *a, mp_digit d, mp_int *b);
177 mp_err mp_mul_d(const mp_int *a, mp_digit d, mp_int *b);
178 mp_err mp_mul_2(const mp_int *a, mp_int *c);
179 mp_err mp_div_d(const mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
180 mp_err mp_div_2(const mp_int *a, mp_int *c);
181 mp_err mp_expt_d(const mp_int *a, mp_digit d, mp_int *c);
182
183 /* Sign manipulations */
184 mp_err mp_abs(const mp_int *a, mp_int *b);
185 mp_err mp_neg(const mp_int *a, mp_int *b);
186
187 /* Full arithmetic */
188 mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c);
189 mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c);
190 mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c);
191 #if MP_SQUARE
192 mp_err mp_sqr(const mp_int *a, mp_int *b);
193 #else
194 #define mp_sqr(a, b) mp_mul(a, a, b)
195 #endif
196 mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *q, mp_int *r);
197 mp_err mp_div_2d(const mp_int *a, mp_digit d, mp_int *q, mp_int *r);
198 mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
199 mp_err mp_2expt(mp_int *a, mp_digit k);
200 mp_err mp_sqrt(const mp_int *a, mp_int *b);
201
202 /* Modular arithmetic */
203 #if MP_MODARITH
204 mp_err mp_mod(const mp_int *a, const mp_int *m, mp_int *c);
205 mp_err mp_mod_d(const mp_int *a, mp_digit d, mp_digit *c);
206 mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
207 mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
208 mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
209 #if MP_SQUARE
210 mp_err mp_sqrmod(const mp_int *a, const mp_int *m, mp_int *c);
211 #else
212 #define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
213 #endif
214 mp_err mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
215 mp_err mp_exptmod_d(const mp_int *a, mp_digit d, const mp_int *m, mp_int *c);
216 #endif /* MP_MODARITH */
217
218 /* Comparisons */
219 int mp_cmp_z(const mp_int *a);
220 int mp_cmp_d(const mp_int *a, mp_digit d);
221 int mp_cmp(const mp_int *a, const mp_int *b);
222 int mp_cmp_mag(mp_int *a, mp_int *b);
223 int mp_cmp_int(const mp_int *a, long z);
224 int mp_isodd(const mp_int *a);
225 int mp_iseven(const mp_int *a);
226
227 /* Number theoretic */
228 #if MP_NUMTH
229 mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
230 mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
231 mp_err mp_xgcd(const mp_int *a, const mp_int *b, mp_int *g, mp_int *x, mp_int *y );
232 mp_err mp_invmod(const mp_int *a, const mp_int *m, mp_int *c);
233 mp_err mp_invmod_xgcd(const mp_int *a, const mp_int *m, mp_int *c);
234 #endif /* end MP_NUMTH */
235
236 /* Input and output */
237 #if MP_IOFUNC
238 void mp_print(mp_int *mp, FILE *ofp);
239 #endif /* end MP_IOFUNC */
240
241 /* Base conversion */
242 mp_err mp_read_raw(mp_int *mp, char *str, int len);
243 int mp_raw_size(mp_int *mp);
244 mp_err mp_toraw(mp_int *mp, char *str);
245 mp_err mp_read_radix(mp_int *mp, const char *str, int radix);
246 mp_err mp_read_variable_radix(mp_int *a, const char * str, int default_radix);
247 int mp_radix_size(mp_int *mp, int radix);
248 mp_err mp_toradix(mp_int *mp, char *str, int radix);
249 int mp_tovalue(char ch, int r);
250
251 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
252 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
253 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
254 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
255
256 /* Error strings */
257 const char *mp_strerror(mp_err ec);
258
259 /* Octet string conversion functions */
260 mp_err mp_read_unsigned_octets(mp_int *mp, const unsigned char *str, mp_size len );
261 unsigned int mp_unsigned_octet_size(const mp_int *mp);
262 mp_err mp_to_unsigned_octets(const mp_int *mp, unsigned char *str, mp_size maxle n);
263 mp_err mp_to_signed_octets(const mp_int *mp, unsigned char *str, mp_size maxlen) ;
264 mp_err mp_to_fixlen_octets(const mp_int *mp, unsigned char *str, mp_size len);
265
266 /* Miscellaneous */
267 mp_size mp_trailing_zeros(const mp_int *mp);
268 void freebl_cpuid(unsigned long op, unsigned long *eax,
269 unsigned long *ebx, unsigned long *ecx,
270 unsigned long *edx);
271
272
273 #define MP_CHECKOK(x) if (MP_OKAY > (res = (x))) goto CLEANUP
274 #define MP_CHECKERR(x) if (MP_OKAY > (res = (x))) goto CLEANUP
275
276 #if defined(MP_API_COMPATIBLE)
277 #define NEG MP_NEG
278 #define ZPOS MP_ZPOS
279 #define DIGIT_MAX MP_DIGIT_MAX
280 #define DIGIT_BIT MP_DIGIT_BIT
281 #define DIGIT_FMT MP_DIGIT_FMT
282 #define RADIX MP_RADIX
283 #define MAX_RADIX MP_MAX_RADIX
284 #define SIGN(MP) MP_SIGN(MP)
285 #define USED(MP) MP_USED(MP)
286 #define ALLOC(MP) MP_ALLOC(MP)
287 #define DIGITS(MP) MP_DIGITS(MP)
288 #define DIGIT(MP,N) MP_DIGIT(MP,N)
289
290 #if MP_ARGCHK == 1
291 #define ARGCHK(X,Y) {if(!(X)){return (Y);}}
292 #elif MP_ARGCHK == 2
293 #include <assert.h>
294 #define ARGCHK(X,Y) assert(X)
295 #else
296 #define ARGCHK(X,Y) /* */
297 #endif
298 #endif /* defined MP_API_COMPATIBLE */
299
300 #endif /* end _H_MPI_ */
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