3 * Originally written by Bodo Moeller for the OpenSSL project.
5 /* ====================================================================
6 * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@openssl.org.
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
34 * 6. Redistributions of any form whatsoever must retain the following
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
58 /* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
64 * The Contribution is licensed pursuant to the OpenSSL open source
65 * license provided above.
67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
75 #include <openssl/opensslconf.h>
78 #error EC is disabled.
81 #include <openssl/asn1.h>
82 #include <openssl/symhacks.h>
83 #ifndef OPENSSL_NO_DEPRECATED
84 #include <openssl/bn.h>
89 #elif defined(__SUNPRO_C)
90 # if __SUNPRO_C >= 0x520
91 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
97 /* values as defined in X9.62 (ECDSA) and elsewhere */
98 POINT_CONVERSION_COMPRESSED = 2,
99 POINT_CONVERSION_UNCOMPRESSED = 4,
100 POINT_CONVERSION_HYBRID = 6
101 } point_conversion_form_t;
104 typedef struct ec_method_st EC_METHOD;
106 typedef struct ec_group_st
110 -- curve coefficients
111 -- optional generator with associated information (order, cofactor)
112 -- optional extra data (precomputed table for fast computation of multiples of generator)
117 typedef struct ec_point_st EC_POINT;
120 /* EC_METHODs for curves over GF(p).
121 * EC_GFp_simple_method provides the basis for the optimized methods.
123 const EC_METHOD *EC_GFp_simple_method(void);
124 const EC_METHOD *EC_GFp_mont_method(void);
125 const EC_METHOD *EC_GFp_nist_method(void);
127 /* EC_METHOD for curves over GF(2^m).
129 const EC_METHOD *EC_GF2m_simple_method(void);
132 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
133 void EC_GROUP_free(EC_GROUP *);
134 void EC_GROUP_clear_free(EC_GROUP *);
135 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
136 EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
138 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
139 int EC_METHOD_get_field_type(const EC_METHOD *);
141 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
142 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
143 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
144 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
146 void EC_GROUP_set_curve_name(EC_GROUP *, int nid);
147 int EC_GROUP_get_curve_name(const EC_GROUP *);
149 void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
150 int EC_GROUP_get_asn1_flag(const EC_GROUP *);
152 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
153 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
155 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
156 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
157 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
159 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
160 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
161 int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
162 int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
164 /* returns the number of bits needed to represent a field element */
165 int EC_GROUP_get_degree(const EC_GROUP *);
167 /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
168 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
169 /* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
170 * elliptic curve is not zero, 0 otherwise */
171 int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
173 /* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */
174 int EC_GROUP_cmp(const EC_GROUP *, const EC_GROUP *, BN_CTX *);
176 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
177 * after choosing an appropriate EC_METHOD */
178 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
179 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
181 /* EC_GROUP_new_by_curve_name() creates a EC_GROUP structure
182 * specified by a curve name (in form of a NID) */
183 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
184 /* handling of internal curves */
189 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
190 * of all available curves or zero if a error occurred.
191 * In case r ist not zero nitems EC_builtin_curve structures
192 * are filled with the data of the first nitems internal groups */
193 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
196 /* EC_POINT functions */
198 EC_POINT *EC_POINT_new(const EC_GROUP *);
199 void EC_POINT_free(EC_POINT *);
200 void EC_POINT_clear_free(EC_POINT *);
201 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
202 EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
204 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
206 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
207 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
208 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
209 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
210 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
211 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
212 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
213 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
214 BIGNUM *x, BIGNUM *y, BN_CTX *);
215 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
216 const BIGNUM *x, int y_bit, BN_CTX *);
218 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
219 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
220 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
221 BIGNUM *x, BIGNUM *y, BN_CTX *);
222 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
223 const BIGNUM *x, int y_bit, BN_CTX *);
225 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
226 unsigned char *buf, size_t len, BN_CTX *);
227 int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
228 const unsigned char *buf, size_t len, BN_CTX *);
230 /* other interfaces to point2oct/oct2point: */
231 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
232 point_conversion_form_t form, BIGNUM *, BN_CTX *);
233 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
234 EC_POINT *, BN_CTX *);
235 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
236 point_conversion_form_t form, BN_CTX *);
237 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
238 EC_POINT *, BN_CTX *);
240 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
241 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
242 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
244 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
245 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
246 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
248 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
249 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
252 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
253 int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
255 /* EC_GROUP_precompute_mult() stores multiples of generator for faster point multiplication */
256 int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
257 /* EC_GROUP_have_precompute_mult() reports whether such precomputation has been done */
258 int EC_GROUP_have_precompute_mult(const EC_GROUP *);
264 /* EC_GROUP_get_basis_type() returns the NID of the basis type
265 * used to represent the field elements */
266 int EC_GROUP_get_basis_type(const EC_GROUP *);
267 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
268 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
269 unsigned int *k2, unsigned int *k3);
271 #define OPENSSL_EC_NAMED_CURVE 0x001
273 typedef struct ecpk_parameters_st ECPKPARAMETERS;
275 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
276 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
278 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
279 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
280 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
281 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
282 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
283 (unsigned char *)(x))
285 #ifndef OPENSSL_NO_BIO
286 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
288 #ifndef OPENSSL_NO_FP_API
289 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
292 /* the EC_KEY stuff */
293 typedef struct ec_key_st EC_KEY;
295 /* some values for the encoding_flag */
296 #define EC_PKEY_NO_PARAMETERS 0x001
297 #define EC_PKEY_NO_PUBKEY 0x002
299 EC_KEY *EC_KEY_new(void);
300 EC_KEY *EC_KEY_new_by_curve_name(int nid);
301 void EC_KEY_free(EC_KEY *);
302 EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *);
303 EC_KEY *EC_KEY_dup(const EC_KEY *);
305 int EC_KEY_up_ref(EC_KEY *);
307 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *);
308 int EC_KEY_set_group(EC_KEY *, const EC_GROUP *);
309 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *);
310 int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *);
311 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *);
312 int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *);
313 unsigned EC_KEY_get_enc_flags(const EC_KEY *);
314 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
315 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
316 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
317 /* functions to set/get method specific data */
318 void *EC_KEY_get_key_method_data(EC_KEY *,
319 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
320 void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
321 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
322 /* wrapper functions for the underlying EC_GROUP object */
323 void EC_KEY_set_asn1_flag(EC_KEY *, int);
324 int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx);
326 /* EC_KEY_generate_key() creates a ec private (public) key */
327 int EC_KEY_generate_key(EC_KEY *);
328 /* EC_KEY_check_key() */
329 int EC_KEY_check_key(const EC_KEY *);
331 /* de- and encoding functions for SEC1 ECPrivateKey */
332 EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len);
333 int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out);
334 /* de- and encoding functions for EC parameters */
335 EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len);
336 int i2d_ECParameters(EC_KEY *a, unsigned char **out);
337 /* de- and encoding functions for EC public key
338 * (octet string, not DER -- hence 'o2i' and 'i2o') */
339 EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len);
340 int i2o_ECPublicKey(EC_KEY *a, unsigned char **out);
342 #ifndef OPENSSL_NO_BIO
343 int ECParameters_print(BIO *bp, const EC_KEY *x);
344 int EC_KEY_print(BIO *bp, const EC_KEY *x, int off);
346 #ifndef OPENSSL_NO_FP_API
347 int ECParameters_print_fp(FILE *fp, const EC_KEY *x);
348 int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off);
351 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
354 #if defined(__SUNPRO_C)
355 # if __SUNPRO_C >= 0x520
356 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
361 /* BEGIN ERROR CODES */
362 /* The following lines are auto generated by the script mkerr.pl. Any changes
363 * made after this point may be overwritten when the script is next run.
365 void ERR_load_EC_strings(void);
367 /* Error codes for the EC functions. */
369 /* Function codes. */
370 #define EC_F_COMPUTE_WNAF 143
371 #define EC_F_D2I_ECPARAMETERS 144
372 #define EC_F_D2I_ECPKPARAMETERS 145
373 #define EC_F_D2I_ECPRIVATEKEY 146
374 #define EC_F_ECPARAMETERS_PRINT 147
375 #define EC_F_ECPARAMETERS_PRINT_FP 148
376 #define EC_F_ECPKPARAMETERS_PRINT 149
377 #define EC_F_ECPKPARAMETERS_PRINT_FP 150
378 #define EC_F_ECP_NIST_MOD_192 203
379 #define EC_F_ECP_NIST_MOD_224 204
380 #define EC_F_ECP_NIST_MOD_256 205
381 #define EC_F_ECP_NIST_MOD_521 206
382 #define EC_F_EC_ASN1_GROUP2CURVE 153
383 #define EC_F_EC_ASN1_GROUP2FIELDID 154
384 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155
385 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
386 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157
387 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
388 #define EC_F_EC_EX_DATA_SET_DATA 211
389 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
390 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
391 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
392 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
393 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
394 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
395 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
396 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
397 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
398 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
399 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
400 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
401 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
402 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
403 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
404 #define EC_F_EC_GFP_NIST_FIELD_MUL 200
405 #define EC_F_EC_GFP_NIST_FIELD_SQR 201
406 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
407 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
408 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
409 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
410 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
411 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
412 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
413 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
414 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
415 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
416 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
417 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
418 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
419 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
420 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
421 #define EC_F_EC_GROUP_CHECK 170
422 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
423 #define EC_F_EC_GROUP_COPY 106
424 #define EC_F_EC_GROUP_GET0_GENERATOR 139
425 #define EC_F_EC_GROUP_GET_COFACTOR 140
426 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172
427 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
428 #define EC_F_EC_GROUP_GET_DEGREE 173
429 #define EC_F_EC_GROUP_GET_ORDER 141
430 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
431 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
432 #define EC_F_EC_GROUP_NEW 108
433 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
434 #define EC_F_EC_GROUP_NEW_FROM_DATA 175
435 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
436 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176
437 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
438 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
439 #define EC_F_EC_GROUP_SET_GENERATOR 111
440 #define EC_F_EC_KEY_CHECK_KEY 177
441 #define EC_F_EC_KEY_COPY 178
442 #define EC_F_EC_KEY_GENERATE_KEY 179
443 #define EC_F_EC_KEY_NEW 182
444 #define EC_F_EC_KEY_PRINT 180
445 #define EC_F_EC_KEY_PRINT_FP 181
446 #define EC_F_EC_POINTS_MAKE_AFFINE 136
447 #define EC_F_EC_POINTS_MUL 138
448 #define EC_F_EC_POINT_ADD 112
449 #define EC_F_EC_POINT_CMP 113
450 #define EC_F_EC_POINT_COPY 114
451 #define EC_F_EC_POINT_DBL 115
452 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
453 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
454 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
455 #define EC_F_EC_POINT_INVERT 210
456 #define EC_F_EC_POINT_IS_AT_INFINITY 118
457 #define EC_F_EC_POINT_IS_ON_CURVE 119
458 #define EC_F_EC_POINT_MAKE_AFFINE 120
459 #define EC_F_EC_POINT_MUL 184
460 #define EC_F_EC_POINT_NEW 121
461 #define EC_F_EC_POINT_OCT2POINT 122
462 #define EC_F_EC_POINT_POINT2OCT 123
463 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
464 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
465 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
466 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
467 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
468 #define EC_F_EC_POINT_SET_TO_INFINITY 127
469 #define EC_F_EC_PRE_COMP_DUP 207
470 #define EC_F_EC_WNAF_MUL 187
471 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
472 #define EC_F_I2D_ECPARAMETERS 190
473 #define EC_F_I2D_ECPKPARAMETERS 191
474 #define EC_F_I2D_ECPRIVATEKEY 192
475 #define EC_F_I2O_ECPUBLICKEY 151
476 #define EC_F_O2I_ECPUBLICKEY 152
479 #define EC_R_ASN1_ERROR 115
480 #define EC_R_ASN1_UNKNOWN_FIELD 116
481 #define EC_R_BUFFER_TOO_SMALL 100
482 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
483 #define EC_R_DISCRIMINANT_IS_ZERO 118
484 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
485 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120
486 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
487 #define EC_R_INCOMPATIBLE_OBJECTS 101
488 #define EC_R_INVALID_ARGUMENT 112
489 #define EC_R_INVALID_COMPRESSED_POINT 110
490 #define EC_R_INVALID_COMPRESSION_BIT 109
491 #define EC_R_INVALID_ENCODING 102
492 #define EC_R_INVALID_FIELD 103
493 #define EC_R_INVALID_FORM 104
494 #define EC_R_INVALID_GROUP_ORDER 122
495 #define EC_R_INVALID_PRIVATE_KEY 123
496 #define EC_R_MISSING_PARAMETERS 124
497 #define EC_R_MISSING_PRIVATE_KEY 125
498 #define EC_R_NOT_A_NIST_PRIME 135
499 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
500 #define EC_R_NOT_IMPLEMENTED 126
501 #define EC_R_NOT_INITIALIZED 111
502 #define EC_R_NO_FIELD_MOD 133
503 #define EC_R_PASSED_NULL_PARAMETER 134
504 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127
505 #define EC_R_POINT_AT_INFINITY 106
506 #define EC_R_POINT_IS_NOT_ON_CURVE 107
507 #define EC_R_SLOT_FULL 108
508 #define EC_R_UNDEFINED_GENERATOR 113
509 #define EC_R_UNDEFINED_ORDER 128
510 #define EC_R_UNKNOWN_GROUP 129
511 #define EC_R_UNKNOWN_ORDER 114
512 #define EC_R_UNSUPPORTED_FIELD 131
513 #define EC_R_WRONG_ORDER 130