1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
|
/* crypto/ec/ec.h */
/* ====================================================================
* Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
*
*/
#ifndef HEADER_EC_H
#define HEADER_EC_H
#ifdef OPENSSL_NO_EC
#error EC is disabled.
#endif
#include <openssl/bn.h>
#include <openssl/symhacks.h>
#ifdef __cplusplus
extern "C" {
#endif
typedef enum {
/* values as defined in X9.62 (ECDSA) and elsewhere */
POINT_CONVERSION_COMPRESSED = 2,
POINT_CONVERSION_UNCOMPRESSED = 4,
POINT_CONVERSION_HYBRID = 6
} point_conversion_form_t;
typedef struct ec_method_st EC_METHOD;
typedef struct ec_group_st
/*
EC_METHOD *meth;
-- field definition
-- curve coefficients
-- optional generator with associated information (order, cofactor)
-- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
*/
EC_GROUP;
typedef struct ec_point_st EC_POINT;
/* EC_METHODs for curves over GF(p).
* EC_GFp_simple_method provides the basis for the optimized methods.
*/
const EC_METHOD *EC_GFp_simple_method(void);
const EC_METHOD *EC_GFp_mont_method(void);
#if 0
const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
#endif
EC_GROUP *EC_GROUP_new(const EC_METHOD *);
void EC_GROUP_free(EC_GROUP *);
void EC_GROUP_clear_free(EC_GROUP *);
int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
/* We don't have types for field specifications and field elements in general.
* Otherwise we could declare
* int EC_GROUP_set_curve(EC_GROUP *, .....);
*/
int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
* after choosing an appropriate EC_METHOD */
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
EC_POINT *EC_POINT_new(const EC_GROUP *);
void EC_POINT_free(EC_POINT *);
void EC_POINT_clear_free(EC_POINT *);
int EC_POINT_copy(EC_POINT *, const EC_POINT *);
const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, BN_CTX *);
int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
const unsigned char *buf, size_t len, BN_CTX *);
int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
/* BEGIN ERROR CODES */
/* The following lines are auto generated by the script mkerr.pl. Any changes
* made after this point may be overwritten when the script is next run.
*/
void ERR_load_EC_strings(void);
/* Error codes for the EC functions. */
/* Function codes. */
#define EC_F_COMPUTE_WNAF 143
#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
#define EC_F_EC_GFP_MONT_FIELD_MUL 131
#define EC_F_EC_GFP_MONT_FIELD_SQR 132
#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
#define EC_F_EC_GROUP_COPY 106
#define EC_F_EC_GROUP_GET0_GENERATOR 139
#define EC_F_EC_GROUP_GET_COFACTOR 140
#define EC_F_EC_GROUP_GET_CURVE_GFP 130
#define EC_F_EC_GROUP_GET_ORDER 141
#define EC_F_EC_GROUP_NEW 108
#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
#define EC_F_EC_GROUP_SET_CURVE_GFP 109
#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
#define EC_F_EC_GROUP_SET_GENERATOR 111
#define EC_F_EC_POINTS_MAKE_AFFINE 136
#define EC_F_EC_POINTS_MUL 138
#define EC_F_EC_POINT_ADD 112
#define EC_F_EC_POINT_CMP 113
#define EC_F_EC_POINT_COPY 114
#define EC_F_EC_POINT_DBL 115
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
#define EC_F_EC_POINT_IS_AT_INFINITY 118
#define EC_F_EC_POINT_IS_ON_CURVE 119
#define EC_F_EC_POINT_MAKE_AFFINE 120
#define EC_F_EC_POINT_NEW 121
#define EC_F_EC_POINT_OCT2POINT 122
#define EC_F_EC_POINT_POINT2OCT 123
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
#define EC_F_EC_POINT_SET_TO_INFINITY 127
#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
/* Reason codes. */
#define EC_R_BUFFER_TOO_SMALL 100
#define EC_R_INCOMPATIBLE_OBJECTS 101
#define EC_R_INVALID_ARGUMENT 112
#define EC_R_INVALID_COMPRESSED_POINT 110
#define EC_R_INVALID_COMPRESSION_BIT 109
#define EC_R_INVALID_ENCODING 102
#define EC_R_INVALID_FIELD 103
#define EC_R_INVALID_FORM 104
#define EC_R_NOT_INITIALIZED 111
#define EC_R_POINT_AT_INFINITY 106
#define EC_R_POINT_IS_NOT_ON_CURVE 107
#define EC_R_SLOT_FULL 108
#define EC_R_UNDEFINED_GENERATOR 113
#define EC_R_UNKNOWN_ORDER 114
#ifdef __cplusplus
}
#endif
#endif
|
