2 /* ====================================================================
3 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
9 * 1. Redistributions of source code must retain the above copyright
10 * notice, this list of conditions and the following disclaimer.
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
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/)"
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.
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.
31 * 6. Redistributions of any form whatsoever must retain the following
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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 * ====================================================================
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).
59 #include <openssl/bn.h>
60 #include <openssl/symhacks.h>
69 /* values as defined in X9.62 (ECDSA) and elsewhere */
70 POINT_CONVERSION_COMPRESSED
= 2,
71 POINT_CONVERSION_UNCOMPRESSED
= 4,
72 POINT_CONVERSION_HYBRID
= 6
73 } point_conversion_form_t
;
76 typedef struct ec_method_st EC_METHOD
;
78 typedef struct ec_group_st
83 -- optional generator with associated information (order, cofactor)
84 -- optional Lim/Lee precomputation table
88 typedef struct ec_point_st EC_POINT
;
91 /* EC_METHODs for curves over GF(p).
92 * EC_GFp_simple_method provides the basis for the optimized methods.
95 const EC_METHOD
*EC_GFp_simple_method(void);
96 const EC_METHOD
*EC_GFp_mont_method(void);
97 const EC_METHOD
*EC_GFp_recp_method(void);
98 const EC_METHOD
*EC_GFp_nist_method(void);
101 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*);
102 /* We don't have types for field specifications and field elements in general.
103 * Otherwise we would declare
104 * int EC_GROUP_set_curve(EC_GROUP *, .....);
106 int EC_GROUP_set_curve_GFp(EC_GROUP
*, const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*);
107 void EC_GROUP_free(EC_GROUP
*);
108 void EC_GROUP_clear_free(EC_GROUP
*);
109 int EC_GROUP_copy(EC_GROUP
*, const EC_GROUP
*);
111 /* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
112 * after choosing an appropriate EC_METHOD */
113 EC_GROUP
*EC_GROUP_new_curve_GFp(const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*);
115 int EC_GROUP_set_generator(EC_GROUP
*, const EC_POINT
*generator
, const BIGNUM
*order
, const BIGNUM
*cofactor
);
117 /* TODO: 'set' and 'get' functions for EC_GROUPs */
120 EC_POINT
*EC_POINT_new(const EC_GROUP
*);
121 void EC_POINT_free(EC_POINT
*);
122 void EC_POINT_clear_free(EC_POINT
*);
123 int EC_POINT_copy(EC_POINT
*, const EC_POINT
*);
125 int EC_POINT_set_to_infinity(const EC_GROUP
*, EC_POINT
*);
126 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*, EC_POINT
*,
127 const BIGNUM
*x
, const BIGNUM
*y
, const BIGNUM
*z
, BN_CTX
*);
128 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*, const EC_POINT
*,
129 BIGNUM
*x
, BIGNUM
*y
, BIGNUM
*z
, BN_CTX
*);
130 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*, EC_POINT
*,
131 const BIGNUM
*x
, const BIGNUM
*y
, BN_CTX
*);
132 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*, const EC_POINT
*,
133 BIGNUM
*x
, BIGNUM
*y
, BN_CTX
*);
134 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP
*, EC_POINT
*,
135 const BIGNUM
*x
, int y_bit
, BN_CTX
*);
137 size_t EC_POINT_point2oct(const EC_GROUP
*, const EC_POINT
*, point_conversion_form_t form
,
138 unsigned char *buf
, size_t len
, BN_CTX
*);
139 int EC_POINT_oct2point(const EC_GROUP
*, EC_POINT
*,
140 const unsigned char *buf
, size_t len
, BN_CTX
*);
142 int EC_POINT_add(const EC_GROUP
*, EC_POINT
*r
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*);
143 int EC_POINT_dbl(const EC_GROUP
*, EC_POINT
*r
, const EC_POINT
*a
, BN_CTX
*);
144 int EC_POINT_invert(const EC_GROUP
*, EC_POINT
*, BN_CTX
*);
146 int EC_POINT_is_at_infinity(const EC_GROUP
*, const EC_POINT
*);
147 int EC_POINT_is_on_curve(const EC_GROUP
*, const EC_POINT
*, BN_CTX
*);
148 int EC_POINT_cmp(const EC_GROUP
*, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*);
150 int EC_POINT_make_affine(const EC_GROUP
*, EC_POINT
*, BN_CTX
*);
154 /* TODO: scalar multiplication */
158 /* BEGIN ERROR CODES */
159 /* The following lines are auto generated by the script mkerr.pl. Any changes
160 * made after this point may be overwritten when the script is next run.
162 void ERR_load_EC_strings(void);
164 /* Error codes for the EC functions. */
166 /* Function codes. */
167 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
168 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
169 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
170 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
171 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
172 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
173 #define EC_F_EC_GROUP_COPY 106
174 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107
175 #define EC_F_EC_GROUP_NEW 108
176 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
177 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
178 #define EC_F_EC_GROUP_SET_GENERATOR 111
179 #define EC_F_EC_POINT_ADD 112
180 #define EC_F_EC_POINT_CMP 113
181 #define EC_F_EC_POINT_COPY 114
182 #define EC_F_EC_POINT_DBL 115
183 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
184 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
185 #define EC_F_EC_POINT_IS_AT_INFINITY 118
186 #define EC_F_EC_POINT_IS_ON_CURVE 119
187 #define EC_F_EC_POINT_MAKE_AFFINE 120
188 #define EC_F_EC_POINT_NEW 121
189 #define EC_F_EC_POINT_OCT2POINT 122
190 #define EC_F_EC_POINT_POINT2OCT 123
191 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
192 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
193 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
194 #define EC_F_EC_POINT_SET_TO_INFINITY 127
197 #define EC_R_BUFFER_TOO_SMALL 100
198 #define EC_R_INCOMPATIBLE_OBJECTS 101
199 #define EC_R_INVALID_ENCODING 102
200 #define EC_R_INVALID_FIELD 103
201 #define EC_R_INVALID_FORM 104
202 #define EC_R_NO_SUCH_EXTRA_DATA 105
203 #define EC_R_POINT_AT_INFINITY 106
204 #define EC_R_POINT_IS_NOT_ON_CURVE 107
205 #define EC_R_SLOT_FULL 108