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).
60 #error Elliptic curves are disabled.
63 #include <openssl/bn.h>
64 #include <openssl/symhacks.h>
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;
79 typedef struct ec_method_st EC_METHOD;
81 typedef struct ec_group_st
86 -- optional generator with associated information (order, cofactor)
87 -- optional extra data (Lim/Lee precomputation table)
91 typedef struct ec_point_st EC_POINT;
94 /* EC_METHODs for curves over GF(p).
95 * EC_GFp_simple_method provides the basis for the optimized methods.
97 const EC_METHOD *EC_GFp_simple_method(void);
98 const EC_METHOD *EC_GFp_mont_method(void);
99 const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
100 const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
103 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
104 void EC_GROUP_free(EC_GROUP *);
105 void EC_GROUP_clear_free(EC_GROUP *);
106 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
108 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
111 /* We don't have types for field specifications and field elements in general.
112 * Otherwise we could declare
113 * int EC_GROUP_set_curve(EC_GROUP *, .....);
115 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
116 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
118 /* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
119 * after choosing an appropriate EC_METHOD */
120 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
122 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
123 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
124 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
125 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
127 EC_POINT *EC_POINT_new(const EC_GROUP *);
128 void EC_POINT_free(EC_POINT *);
129 void EC_POINT_clear_free(EC_POINT *);
130 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
132 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
134 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
135 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
136 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
137 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
138 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
139 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
140 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
141 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
142 BIGNUM *x, BIGNUM *y, BN_CTX *);
143 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
144 const BIGNUM *x, int y_bit, BN_CTX *);
146 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
147 unsigned char *buf, size_t len, BN_CTX *);
148 int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
149 const unsigned char *buf, size_t len, BN_CTX *);
151 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
152 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
153 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
155 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
156 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
157 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
159 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
160 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
163 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
164 int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
165 int EC_GROUP_precompute(EC_GROUP *, BN_CTX *);
169 /* BEGIN ERROR CODES */
170 /* The following lines are auto generated by the script mkerr.pl. Any changes
171 * made after this point may be overwritten when the script is next run.
173 void ERR_load_EC_strings(void);
175 /* Error codes for the EC functions. */
177 /* Function codes. */
178 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
179 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
180 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
181 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
182 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
183 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
184 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
185 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
186 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
187 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
188 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
189 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
190 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
191 #define EC_F_EC_GROUP_COPY 106
192 #define EC_F_EC_GROUP_GET0_GENERATOR 139
193 #define EC_F_EC_GROUP_GET_COFACTOR 140
194 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
195 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107
196 #define EC_F_EC_GROUP_GET_ORDER 141
197 #define EC_F_EC_GROUP_NEW 108
198 #define EC_F_EC_GROUP_PRECOMPUTE 142
199 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
200 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
201 #define EC_F_EC_GROUP_SET_GENERATOR 111
202 #define EC_F_EC_POINTS_MAKE_AFFINE 136
203 #define EC_F_EC_POINTS_MUL 138
204 #define EC_F_EC_POINT_ADD 112
205 #define EC_F_EC_POINT_CMP 113
206 #define EC_F_EC_POINT_COPY 114
207 #define EC_F_EC_POINT_DBL 115
208 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
209 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
210 #define EC_F_EC_POINT_IS_AT_INFINITY 118
211 #define EC_F_EC_POINT_IS_ON_CURVE 119
212 #define EC_F_EC_POINT_MAKE_AFFINE 120
213 #define EC_F_EC_POINT_NEW 121
214 #define EC_F_EC_POINT_OCT2POINT 122
215 #define EC_F_EC_POINT_POINT2OCT 123
216 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
217 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
218 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
219 #define EC_F_EC_POINT_SET_TO_INFINITY 127
220 #define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
223 #define EC_R_BUFFER_TOO_SMALL 100
224 #define EC_R_INCOMPATIBLE_OBJECTS 101
225 #define EC_R_INVALID_ARGUMENT 112
226 #define EC_R_INVALID_COMPRESSED_POINT 110
227 #define EC_R_INVALID_COMPRESSION_BIT 109
228 #define EC_R_INVALID_ENCODING 102
229 #define EC_R_INVALID_FIELD 103
230 #define EC_R_INVALID_FORM 104
231 #define EC_R_NOT_INITIALIZED 111
232 #define EC_R_NO_SUCH_EXTRA_DATA 105
233 #define EC_R_POINT_AT_INFINITY 106
234 #define EC_R_POINT_IS_NOT_ON_CURVE 107
235 #define EC_R_SLOT_FULL 108
236 #define EC_R_UNDEFINED_GENERATOR 113
237 #define EC_R_UNKNOWN_ORDER 114