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1 /* crypto/ec/ec.h */
2 /* ====================================================================
3 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 *
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
11 *
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in
14 * the documentation and/or other materials provided with the
15 * distribution.
16 *
17 * 3. All advertising materials mentioning features or use of this
18 * software must display the following acknowledgment:
19 * "This product includes software developed by the OpenSSL Project
20 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
21 *
22 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
23 * endorse or promote products derived from this software without
24 * prior written permission. For written permission, please contact
25 * openssl-core@openssl.org.
26 *
27 * 5. Products derived from this software may not be called "OpenSSL"
28 * nor may "OpenSSL" appear in their names without prior written
29 * permission of the OpenSSL Project.
30 *
31 * 6. Redistributions of any form whatsoever must retain the following
32 * acknowledgment:
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
35 *
36 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
37 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
38 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
39 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
40 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
41 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
42 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
43 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
44 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
45 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
46 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
47 * OF THE POSSIBILITY OF SUCH DAMAGE.
48 * ====================================================================
49 *
50 * This product includes cryptographic software written by Eric Young
51 * (eay@cryptsoft.com). This product includes software written by Tim
52 * Hudson (tjh@cryptsoft.com).
53 *
54 */
55
56 #ifndef HEADER_EC_H
57 #define HEADER_EC_H
58
59 #ifdef OPENSSL_NO_EC
60 #error Elliptic curves are disabled.
61 #endif
62
63 #include <openssl/bn.h>
64 #include <openssl/symhacks.h>
65
66 #ifdef __cplusplus
67 extern "C" {
68 #endif
69
70
71 typedef enum {
72 /* values as defined in X9.62 (ECDSA) and elsewhere */
73 POINT_CONVERSION_COMPRESSED = 2,
74 POINT_CONVERSION_UNCOMPRESSED = 4,
75 POINT_CONVERSION_HYBRID = 6
76 } point_conversion_form_t;
77
78
79 typedef struct ec_method_st EC_METHOD;
80
81 typedef struct ec_group_st
82 /*
83 EC_METHOD *meth;
84 -- field definition
85 -- curve coefficients
86 -- optional generator with associated information (order, cofactor)
87 -- optional extra data (Lim/Lee precomputation table)
88 */
89 EC_GROUP;
90
91 typedef struct ec_point_st EC_POINT;
92
93
94 /* EC_METHODs for curves over GF(p).
95 * EC_GFp_simple_method provides the basis for the optimized methods.
96 */
97
98 const EC_METHOD *EC_GFp_simple_method(void);
99 const EC_METHOD *EC_GFp_mont_method(void);
100 const EC_METHOD *EC_GFp_recp_method(void);
101 const EC_METHOD *EC_GFp_nist_method(void);
102
103
104 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
105 /* We don't have types for field specifications and field elements in general.
106 * Otherwise we would declare
107 * int EC_GROUP_set_curve(EC_GROUP *, .....);
108 */
109 void EC_GROUP_free(EC_GROUP *);
110 void EC_GROUP_clear_free(EC_GROUP *);
111 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP*);
112 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
113 int EC_GROUP_get_curve_GFp(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
114
115 /* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
116 * after choosing an appropriate EC_METHOD */
117 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
118
119 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
120 EC_POINT *EC_group_get0_generator(EC_GROUP *);
121 int EC_GROUP_get_order(EC_GROUP *, BIGNUM *order, BN_CTX *);
122 int EC_GROUP_get_cofactor(EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
123
124 EC_POINT *EC_POINT_new(const EC_GROUP *);
125 void EC_POINT_free(EC_POINT *);
126 void EC_POINT_clear_free(EC_POINT *);
127 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
128
129 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
130 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
131 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
132 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
133 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
134 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
135 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
136 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
137 BIGNUM *x, BIGNUM *y, BN_CTX *);
138 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
139 const BIGNUM *x, int y_bit, BN_CTX *);
140
141 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
142 unsigned char *buf, size_t len, BN_CTX *);
143 int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
144 const unsigned char *buf, size_t len, BN_CTX *);
145
146 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
147 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
148 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
149
150 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
151 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
152 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
153
154 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
155
156
157
158 /* TODO: scalar multiplication */
159
160
161
162 /* BEGIN ERROR CODES */
163 /* The following lines are auto generated by the script mkerr.pl. Any changes
164 * made after this point may be overwritten when the script is next run.
165 */
166 void ERR_load_EC_strings(void);
167
168 /* Error codes for the EC functions. */
169
170 /* Function codes. */
171 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
172 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
173 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
174 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
175 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
176 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
177 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
178 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
179 #define EC_F_EC_GROUP_COPY 106
180 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
181 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107
182 #define EC_F_EC_GROUP_NEW 108
183 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
184 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
185 #define EC_F_EC_GROUP_SET_GENERATOR 111
186 #define EC_F_EC_POINT_ADD 112
187 #define EC_F_EC_POINT_CMP 113
188 #define EC_F_EC_POINT_COPY 114
189 #define EC_F_EC_POINT_DBL 115
190 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
191 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
192 #define EC_F_EC_POINT_IS_AT_INFINITY 118
193 #define EC_F_EC_POINT_IS_ON_CURVE 119
194 #define EC_F_EC_POINT_MAKE_AFFINE 120
195 #define EC_F_EC_POINT_NEW 121
196 #define EC_F_EC_POINT_OCT2POINT 122
197 #define EC_F_EC_POINT_POINT2OCT 123
198 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
199 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
200 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
201 #define EC_F_EC_POINT_SET_TO_INFINITY 127
202
203 /* Reason codes. */
204 #define EC_R_BUFFER_TOO_SMALL 100
205 #define EC_R_INCOMPATIBLE_OBJECTS 101
206 #define EC_R_INVALID_COMPRESSED_POINT 110
207 #define EC_R_INVALID_COMPRESSION_BIT 109
208 #define EC_R_INVALID_ENCODING 102
209 #define EC_R_INVALID_FIELD 103
210 #define EC_R_INVALID_FORM 104
211 #define EC_R_NO_SUCH_EXTRA_DATA 105
212 #define EC_R_POINT_AT_INFINITY 106
213 #define EC_R_POINT_IS_NOT_ON_CURVE 107
214 #define EC_R_SLOT_FULL 108
215
216 #ifdef __cplusplus
217 }
218 #endif
219 #endif