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1/* crypto/ec/ec.h */
2/* ====================================================================
3 * Copyright (c) 1998-2002 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 EC is disabled.
61#endif
62
63#include <openssl/bn.h>
64#include <openssl/asn1.h>
65#include <openssl/symhacks.h>
66
67#ifdef __cplusplus
68extern "C" {
69#endif
70
71
72typedef enum {
73 /* values as defined in X9.62 (ECDSA) and elsewhere */
74 POINT_CONVERSION_COMPRESSED = 2,
75 POINT_CONVERSION_UNCOMPRESSED = 4,
76 POINT_CONVERSION_HYBRID = 6
77} point_conversion_form_t;
78
79
80typedef struct ec_method_st EC_METHOD;
81
82typedef struct ec_group_st
83 /*
84 EC_METHOD *meth;
85 -- field definition
86 -- curve coefficients
87 -- optional generator with associated information (order, cofactor)
88 -- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
89 -- ASN1 stuff
90 */
91 EC_GROUP;
92
93typedef struct ec_point_st EC_POINT;
94
95
96/* EC_METHODs for curves over GF(p).
97 * EC_GFp_simple_method provides the basis for the optimized methods.
98 */
99const EC_METHOD *EC_GFp_simple_method(void);
100const EC_METHOD *EC_GFp_mont_method(void);
101#if 0
102const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
103const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
104#endif
105
106
107EC_GROUP *EC_GROUP_new(const EC_METHOD *);
108void EC_GROUP_free(EC_GROUP *);
109void EC_GROUP_clear_free(EC_GROUP *);
110int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
111
112const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
113int EC_METHOD_get_field_type(const EC_METHOD *);
114
115int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
116EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
117int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
118int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
119
120void EC_GROUP_set_nid(EC_GROUP *, int); /* curve name */
121int EC_GROUP_get_nid(const EC_GROUP *);
122
123void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
124int EC_GROUP_get_asn1_flag(const EC_GROUP *);
125
126void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
127point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
128
129unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
130size_t EC_GROUP_get_seed_len(const EC_GROUP *);
131size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
132
133/* We don't have types for field specifications and field elements in general.
134 * Otherwise we could declare
135 * int EC_GROUP_set_curve(EC_GROUP *, .....);
136 */
137int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
138int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
139
140/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
141int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
142/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
143 * elliptic curve is not zero, 0 otherwise */
144int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
145
146/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
147 * after choosing an appropriate EC_METHOD */
148EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
149
150/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
151 * generator and order */
152EC_GROUP *EC_GROUP_new_by_nid(int nid);
153EC_GROUP *EC_GROUP_new_by_name(int name);
154/* Currently valid arguments to EC_GROUP_new_by_name() */
155#define EC_GROUP_NO_CURVE 0
156#define EC_GROUP_NIST_PRIME_192 NID_X9_62_prime192v1
157#define EC_GROUP_NIST_PRIME_224 NID_secp224r1
158#define EC_GROUP_NIST_PRIME_256 NID_X9_62_prime256v1
159#define EC_GROUP_NIST_PRIME_384 NID_secp384r1
160#define EC_GROUP_NIST_PRIME_521 NID_secp521r1
161#define EC_GROUP_X9_62_PRIME_192V1 NID_X9_62_prime192v1
162#define EC_GROUP_X9_62_PRIME_192V2 NID_X9_62_prime192v2
163#define EC_GROUP_X9_62_PRIME_192V3 NID_X9_62_prime192v3
164#define EC_GROUP_X9_62_PRIME_239V1 NID_X9_62_prime239v1
165#define EC_GROUP_X9_62_PRIME_239V2 NID_X9_62_prime239v2
166#define EC_GROUP_X9_62_PRIME_239V3 NID_X9_62_prime239v3
167#define EC_GROUP_X9_62_PRIME_256V1 NID_X9_62_prime256v1
168#define EC_GROUP_SECG_PRIME_112R1 NID_secp112r1
169#define EC_GROUP_SECG_PRIME_112R2 NID_secp112r2
170#define EC_GROUP_SECG_PRIME_128R1 NID_secp128r1
171#define EC_GROUP_SECG_PRIME_128R2 NID_secp128r2
172#define EC_GROUP_SECG_PRIME_160K1 NID_secp160k1
173#define EC_GROUP_SECG_PRIME_160R1 NID_secp160r1
174#define EC_GROUP_SECG_PRIME_160R2 NID_secp160r2
175#define EC_GROUP_SECG_PRIME_192K1 NID_secp192k1
176#define EC_GROUP_SECG_PRIME_192R1 NID_X9_62_prime192v1
177#define EC_GROUP_SECG_PRIME_224K1 NID_secp224k1
178#define EC_GROUP_SECG_PRIME_224R1 NID_secp224r1
179#define EC_GROUP_SECG_PRIME_256K1 NID_secp256k1
180#define EC_GROUP_SECG_PRIME_256R1 NID_X9_62_prime256v1
181#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1
182#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1
183#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6
184#define EC_GROUP_WTLS_7 NID_secp160r1
185#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8
186#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9
187#define EC_GROUP_WTLS_12 NID_secp224r1
188
189EC_POINT *EC_POINT_new(const EC_GROUP *);
190void EC_POINT_free(EC_POINT *);
191void EC_POINT_clear_free(EC_POINT *);
192int EC_POINT_copy(EC_POINT *, const EC_POINT *);
193
194const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
195
196int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
197int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
198 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
199int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
200 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
201int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
202 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
203int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
204 BIGNUM *x, BIGNUM *y, BN_CTX *);
205int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
206 const BIGNUM *x, int y_bit, BN_CTX *);
207
208size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
209 unsigned char *buf, size_t len, BN_CTX *);
210int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
211 const unsigned char *buf, size_t len, BN_CTX *);
212
213/* other interfaces to point2oct/oct2point: */
214BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
215 point_conversion_form_t form, BIGNUM *, BN_CTX *);
216EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
217 EC_POINT *, BN_CTX *);
218char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
219 point_conversion_form_t form, BN_CTX *);
220EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
221 EC_POINT *, BN_CTX *);
222
223int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
224int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
225int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
226
227int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
228int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
229int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
230
231int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
232int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
233
234
235int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
236int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
237int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
238
239
240
241/* ASN1 stuff */
242#define OPENSSL_EC_NAMED_CURVE 0x001
243
244typedef struct ec_parameters_st ECPARAMETERS;
245typedef struct ecpk_parameters_st ECPKPARAMETERS;
246
247DECLARE_ASN1_ITEM(ECPARAMETERS)
248DECLARE_ASN1_ITEM(ECPKPARAMETERS)
249DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPARAMETERS, ECPARAMETERS)
250DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS)
251
252EC_GROUP *EC_ASN1_pkparameters2group(const ECPKPARAMETERS *);
253ECPKPARAMETERS *EC_ASN1_group2pkparameters(const EC_GROUP *, ECPKPARAMETERS *);
254
255
256EC_GROUP *d2i_ECParameters(EC_GROUP **, const unsigned char **in, long len);
257int i2d_ECParameters(const EC_GROUP *, unsigned char **out);
258
259EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
260int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
261
262#define d2i_ECPKParameters_bio(bp,x) (EC_GROUP *)ASN1_d2i_bio(NULL, \
263 (char *(*)())d2i_ECPKParameters,(bp),(unsigned char **)(x))
264#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio(i2d_ECPKParameters,(bp), \
265 (unsigned char *)(x))
266#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
267 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
268#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
269 (unsigned char *)(x))
270
271#ifndef OPENSSL_NO_BIO
272int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
273#endif
274#ifndef OPENSSL_NO_FP_API
275int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
276#endif
277
278
279/* BEGIN ERROR CODES */
280/* The following lines are auto generated by the script mkerr.pl. Any changes
281 * made after this point may be overwritten when the script is next run.
282 */
283void ERR_load_EC_strings(void);
284
285/* Error codes for the EC functions. */
286
287/* Function codes. */
288#define EC_F_COMPUTE_WNAF 143
289#define EC_F_D2I_ECDSAPARAMETERS 154
290#define EC_F_D2I_ECPARAMETERS 155
291#define EC_F_D2I_ECPKPARAMETERS 161
292#define EC_F_ECPKPARAMETERS_PRINT 166
293#define EC_F_ECPKPARAMETERS_PRINT_FP 167
294#define EC_F_EC_ASN1_GROUP2CURVE 159
295#define EC_F_EC_ASN1_GROUP2FIELDID 156
296#define EC_F_EC_ASN1_GROUP2PARAMETERS 160
297#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162
298#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
299#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163
300#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
301#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
302#define EC_F_EC_GFP_MONT_FIELD_MUL 131
303#define EC_F_EC_GFP_MONT_FIELD_SQR 132
304#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 152
305#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
306#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
307#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
308#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
309#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
310#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
311#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
312#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
313#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
314#define EC_F_EC_GROUP_CHECK 150
315#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 153
316#define EC_F_EC_GROUP_COPY 106
317#define EC_F_EC_GROUP_GET0_GENERATOR 139
318#define EC_F_EC_GROUP_GET_COFACTOR 140
319#define EC_F_EC_GROUP_GET_CURVE_GFP 130
320#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
321#define EC_F_EC_GROUP_GET_ORDER 141
322#define EC_F_EC_GROUP_GROUP2NID 147
323#define EC_F_EC_GROUP_NEW 108
324#define EC_F_EC_GROUP_NEW_BY_NAME 144
325#define EC_F_EC_GROUP_NEW_BY_NID 146
326#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148
327#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
328#define EC_F_EC_GROUP_SET_CURVE_GFP 109
329#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
330#define EC_F_EC_GROUP_SET_GENERATOR 111
331#define EC_F_EC_POINTS_MAKE_AFFINE 136
332#define EC_F_EC_POINTS_MUL 138
333#define EC_F_EC_POINT_ADD 112
334#define EC_F_EC_POINT_CMP 113
335#define EC_F_EC_POINT_COPY 114
336#define EC_F_EC_POINT_DBL 115
337#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
338#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
339#define EC_F_EC_POINT_IS_AT_INFINITY 118
340#define EC_F_EC_POINT_IS_ON_CURVE 119
341#define EC_F_EC_POINT_MAKE_AFFINE 120
342#define EC_F_EC_POINT_NEW 121
343#define EC_F_EC_POINT_OCT2POINT 122
344#define EC_F_EC_POINT_POINT2OCT 123
345#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
346#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
347#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
348#define EC_F_EC_POINT_SET_TO_INFINITY 127
349#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
350#define EC_F_I2D_ECDSAPARAMETERS 158
351#define EC_F_I2D_ECPARAMETERS 164
352#define EC_F_I2D_ECPKPARAMETERS 165
353
354/* Reason codes. */
355#define EC_R_ASN1_ERROR 130
356#define EC_R_ASN1_UNKNOWN_FIELD 131
357#define EC_R_BUFFER_TOO_SMALL 100
358#define EC_R_D2I_ECPARAMETERS_FAILURE 132
359#define EC_R_D2I_ECPKPARAMETERS_FAILURE 133
360#define EC_R_D2I_EC_PARAMETERS_FAILURE 123
361#define EC_R_DISCRIMINANT_IS_ZERO 118
362#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 124
363#define EC_R_GROUP2PARAMETERS_FAILURE 125
364#define EC_R_GROUP2PKPARAMETERS_FAILURE 134
365#define EC_R_I2D_ECPKPARAMETERS_FAILURE 135
366#define EC_R_I2D_EC_PARAMETERS_FAILURE 126
367#define EC_R_INCOMPATIBLE_OBJECTS 101
368#define EC_R_INVALID_ARGUMENT 112
369#define EC_R_INVALID_COMPRESSED_POINT 110
370#define EC_R_INVALID_COMPRESSION_BIT 109
371#define EC_R_INVALID_ENCODING 102
372#define EC_R_INVALID_FIELD 103
373#define EC_R_INVALID_FORM 104
374#define EC_R_INVALID_GROUP_ORDER 119
375#define EC_R_MISSING_PARAMETERS 127
376#define EC_R_NOT_IMPLEMENTED 136
377#define EC_R_NOT_INITIALIZED 111
378#define EC_R_NO_SUCH_EXTRA_DATA 105
379#define EC_R_PARAMETERS2GROUP_FAILURE 128
380#define EC_R_PKPARAMETERS2GROUP_FAILURE 137
381#define EC_R_POINT_AT_INFINITY 106
382#define EC_R_POINT_IS_NOT_ON_CURVE 107
383#define EC_R_SLOT_FULL 108
384#define EC_R_UNDEFINED_GENERATOR 113
385#define EC_R_UNDEFINED_ORDER 122
386#define EC_R_UNKNOWN_GROUP 116
387#define EC_R_UNKNOWN_NID 117
388#define EC_R_UNKNOWN_ORDER 114
389#define EC_R_UNKNOWN_PARAMETERS_TYPE 129
390
391#ifdef __cplusplus
392}
393#endif
394#endif