3 * Originally written by Bodo Moeller for the OpenSSL project.
5 /* ====================================================================
6 * Copyright (c) 1998-2002 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 * In addition, Sun covenants to all licensees who provide a reciprocal
68 * covenant with respect to their own patents if any, not to sue under
69 * current and future patent claims necessarily infringed by the making,
70 * using, practicing, selling, offering for sale and/or otherwise
71 * disposing of the Contribution as delivered hereunder
72 * (or portions thereof), provided that such covenant shall not apply:
73 * 1) for code that a licensee deletes from the Contribution;
74 * 2) separates from the Contribution; or
75 * 3) for infringements caused by:
76 * i) the modification of the Contribution or
77 * ii) the combination of the Contribution with other software or
78 * devices where such combination causes the infringement.
80 * The elliptic curve binary polynomial software is originally written by
81 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
89 #error EC is disabled.
92 #include <openssl/bn.h>
93 #include <openssl/asn1.h>
94 #include <openssl/symhacks.h>
102 /* values as defined in X9.62 (ECDSA) and elsewhere */
103 POINT_CONVERSION_COMPRESSED = 2,
104 POINT_CONVERSION_UNCOMPRESSED = 4,
105 POINT_CONVERSION_HYBRID = 6
106 } point_conversion_form_t;
109 typedef struct ec_method_st EC_METHOD;
111 typedef struct ec_group_st
115 -- curve coefficients
116 -- optional generator with associated information (order, cofactor)
117 -- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
122 typedef struct ec_point_st EC_POINT;
125 /* EC_METHODs for curves over GF(p).
126 * EC_GFp_simple_method provides the basis for the optimized methods.
128 const EC_METHOD *EC_GFp_simple_method(void);
129 const EC_METHOD *EC_GFp_mont_method(void);
131 const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
132 const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
135 /* EC_METHOD for curves over GF(2^m).
137 const EC_METHOD *EC_GF2m_simple_method(void);
140 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
141 void EC_GROUP_free(EC_GROUP *);
142 void EC_GROUP_clear_free(EC_GROUP *);
143 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
144 EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
146 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
147 int EC_METHOD_get_field_type(const EC_METHOD *);
149 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
150 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
151 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
152 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
154 void EC_GROUP_set_nid(EC_GROUP *, int); /* curve name */
155 int EC_GROUP_get_nid(const EC_GROUP *);
157 void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
158 int EC_GROUP_get_asn1_flag(const EC_GROUP *);
160 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
161 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
163 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
164 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
165 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
167 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
168 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
169 int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
170 int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
172 int EC_GROUP_get_degree(const EC_GROUP *);
174 /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
175 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
176 /* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
177 * elliptic curve is not zero, 0 otherwise */
178 int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
180 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
181 * after choosing an appropriate EC_METHOD */
182 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
183 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
185 /* EC_GROUP_new_by_nid() creates a EC_GROUP structure specified by a NID */
186 EC_GROUP *EC_GROUP_new_by_nid(int nid);
187 /* EC_GROUP_get0_comment() returns a pointer to the 'comment' field of
188 * ec_curve_data_st structure */
189 const char *EC_GROUP_get0_comment(int nid);
190 /* internal function : ec_group_index2nid() returns the NID of curve
191 * with the given index i from the internal curve list */
192 int ec_group_index2nid(int i);
195 /* EC_POINT functions */
197 EC_POINT *EC_POINT_new(const EC_GROUP *);
198 void EC_POINT_free(EC_POINT *);
199 void EC_POINT_clear_free(EC_POINT *);
200 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
201 EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
203 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
205 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
206 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
207 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
208 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
209 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
210 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
211 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
212 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
213 BIGNUM *x, BIGNUM *y, BN_CTX *);
214 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
215 const BIGNUM *x, int y_bit, BN_CTX *);
217 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
218 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
219 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
220 BIGNUM *x, BIGNUM *y, BN_CTX *);
221 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
222 const BIGNUM *x, int y_bit, BN_CTX *);
224 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
225 unsigned char *buf, size_t len, BN_CTX *);
226 int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
227 const unsigned char *buf, size_t len, BN_CTX *);
229 /* other interfaces to point2oct/oct2point: */
230 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
231 point_conversion_form_t form, BIGNUM *, BN_CTX *);
232 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
233 EC_POINT *, BN_CTX *);
234 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
235 point_conversion_form_t form, BN_CTX *);
236 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
237 EC_POINT *, BN_CTX *);
239 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
240 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
241 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
243 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
244 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
245 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
247 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
248 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
251 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
252 int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
253 int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
259 /* EC_GROUP_get_basis_type() returns the NID of the basis type
260 * used to represent the field elements */
261 int EC_GROUP_get_basis_type(const EC_GROUP *);
262 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
263 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
264 unsigned int *k2, unsigned int *k3);
266 #define OPENSSL_EC_NAMED_CURVE 0x001
268 typedef struct ecpk_parameters_st ECPKPARAMETERS;
270 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
271 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
273 #define d2i_ECPKParameters_bio(bp,x) (EC_GROUP *)ASN1_d2i_bio(NULL, \
274 (char *(*)())d2i_ECPKParameters,(bp),(unsigned char **)(x))
275 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio(i2d_ECPKParameters,(bp), \
276 (unsigned char *)(x))
277 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
278 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
279 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
280 (unsigned char *)(x))
282 #ifndef OPENSSL_NO_BIO
283 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
285 #ifndef OPENSSL_NO_FP_API
286 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
289 /* the EC_KEY stuff */
290 typedef struct ec_key_st EC_KEY;
292 typedef struct ec_key_meth_data_st {
293 int (*init)(EC_KEY *);
294 void (*finish)(EC_KEY *);
305 unsigned int enc_flag;
306 point_conversion_form_t conv_form;
310 EC_KEY_METH_DATA *meth_data;
312 /* some values for the encoding_flag */
313 #define EC_PKEY_NO_PARAMETERS 0x001
314 #define EC_PKEY_NO_PUBKEY 0x002
316 EC_KEY *EC_KEY_new(void);
317 void EC_KEY_free(EC_KEY *);
318 EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *);
319 EC_KEY *EC_KEY_dup(const EC_KEY *);
320 int EC_KEY_up_ref(EC_KEY *);
322 /* EC_KEY_generate_key() creates a ec private (public) key */
323 int EC_KEY_generate_key(EC_KEY *);
324 /* EC_KEY_check_key() */
325 int EC_KEY_check_key(const EC_KEY *);
327 /* de- and encode functions for the SEC1 ECPrivateKey */
328 EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len);
329 int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out);
330 /* de- and encode functions for the elliptic curve parameters */
331 EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len);
332 int i2d_ECParameters(EC_KEY *a, unsigned char **out);
334 EC_KEY *ECPublicKey_set_octet_string(EC_KEY **a, const unsigned char **in,
336 int ECPublicKey_get_octet_string(EC_KEY *a, unsigned char **out);
338 #ifndef OPENSSL_NO_BIO
339 int ECParameters_print(BIO *bp, const EC_KEY *x);
340 int EC_KEY_print(BIO *bp, const EC_KEY *x, int off);
342 #ifndef OPENSSL_NO_FP_API
343 int ECParameters_print_fp(FILE *fp, const EC_KEY *x);
344 int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off);
347 #define ECParameters_dup(x) (EC_KEY *)ASN1_dup((int (*)())i2d_ECParameters,\
348 (char *(*)())d2i_ECParameters,(char *)(x))
350 /* BEGIN ERROR CODES */
351 /* The following lines are auto generated by the script mkerr.pl. Any changes
352 * made after this point may be overwritten when the script is next run.
354 void ERR_load_EC_strings(void);
356 /* Error codes for the EC functions. */
358 /* Function codes. */
359 #define EC_F_COMPUTE_WNAF 143
360 #define EC_F_D2I_ECPARAMETERS 144
361 #define EC_F_D2I_ECPKPARAMETERS 145
362 #define EC_F_D2I_ECPRIVATEKEY 146
363 #define EC_F_ECPARAMETERS_PRINT 147
364 #define EC_F_ECPARAMETERS_PRINT_FP 148
365 #define EC_F_ECPKPARAMETERS_PRINT 149
366 #define EC_F_ECPKPARAMETERS_PRINT_FP 150
367 #define EC_F_ECPUBLICKEY_GET_OCTET 151
368 #define EC_F_ECPUBLICKEY_SET_OCTET 152
369 #define EC_F_EC_ASN1_GROUP2CURVE 153
370 #define EC_F_EC_ASN1_GROUP2FIELDID 154
371 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155
372 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
373 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157
374 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
375 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
376 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
377 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
378 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
379 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
380 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
381 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
382 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
383 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
384 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
385 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
386 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
387 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
388 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
389 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
390 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
391 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
392 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
393 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
394 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
395 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
396 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
397 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
398 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
399 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
400 #define EC_F_EC_GROUP_CHECK 170
401 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
402 #define EC_F_EC_GROUP_COPY 106
403 #define EC_F_EC_GROUP_GET0_GENERATOR 139
404 #define EC_F_EC_GROUP_GET_COFACTOR 140
405 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172
406 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
407 #define EC_F_EC_GROUP_GET_DEGREE 173
408 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107
409 #define EC_F_EC_GROUP_GET_ORDER 141
410 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
411 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
412 #define EC_F_EC_GROUP_GROUP2NID 147
413 #define EC_F_EC_GROUP_NEW 108
414 #define EC_F_EC_GROUP_NEW_BY_NID 174
415 #define EC_F_EC_GROUP_NEW_FROM_DATA 175
416 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
417 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176
418 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
419 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
420 #define EC_F_EC_GROUP_SET_GENERATOR 111
421 #define EC_F_EC_KEY_CHECK_KEY 177
422 #define EC_F_EC_KEY_COPY 178
423 #define EC_F_EC_KEY_GENERATE_KEY 179
424 #define EC_F_EC_KEY_PRINT 180
425 #define EC_F_EC_KEY_PRINT_FP 181
426 #define EC_F_EC_NEW 182
427 #define EC_F_EC_POINTS_MAKE_AFFINE 136
428 #define EC_F_EC_POINTS_MUL 138
429 #define EC_F_EC_POINT_ADD 112
430 #define EC_F_EC_POINT_CMP 113
431 #define EC_F_EC_POINT_COPY 114
432 #define EC_F_EC_POINT_DBL 115
433 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
434 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
435 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
436 #define EC_F_EC_POINT_IS_AT_INFINITY 118
437 #define EC_F_EC_POINT_IS_ON_CURVE 119
438 #define EC_F_EC_POINT_MAKE_AFFINE 120
439 #define EC_F_EC_POINT_MUL 184
440 #define EC_F_EC_POINT_NEW 121
441 #define EC_F_EC_POINT_OCT2POINT 122
442 #define EC_F_EC_POINT_POINT2OCT 123
443 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
444 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
445 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
446 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
447 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
448 #define EC_F_EC_POINT_SET_TO_INFINITY 127
449 #define EC_F_EC_WNAF_MUL 187
450 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
451 #define EC_F_GFP_MONT_GROUP_SET_CURVE 189
452 #define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
453 #define EC_F_I2D_ECPARAMETERS 190
454 #define EC_F_I2D_ECPKPARAMETERS 191
455 #define EC_F_I2D_ECPRIVATEKEY 192
458 #define EC_R_ASN1_ERROR 115
459 #define EC_R_ASN1_UNKNOWN_FIELD 116
460 #define EC_R_BUFFER_TOO_SMALL 100
461 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
462 #define EC_R_DISCRIMINANT_IS_ZERO 118
463 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
464 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120
465 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
466 #define EC_R_INCOMPATIBLE_OBJECTS 101
467 #define EC_R_INVALID_ARGUMENT 112
468 #define EC_R_INVALID_COMPRESSED_POINT 110
469 #define EC_R_INVALID_COMPRESSION_BIT 109
470 #define EC_R_INVALID_ENCODING 102
471 #define EC_R_INVALID_FIELD 103
472 #define EC_R_INVALID_FORM 104
473 #define EC_R_INVALID_GROUP_ORDER 122
474 #define EC_R_INVALID_PRIVATE_KEY 123
475 #define EC_R_MISSING_PARAMETERS 124
476 #define EC_R_MISSING_PRIVATE_KEY 125
477 #define EC_R_NOT_IMPLEMENTED 126
478 #define EC_R_NOT_INITIALIZED 111
479 #define EC_R_NO_SUCH_EXTRA_DATA 105
480 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127
481 #define EC_R_POINT_AT_INFINITY 106
482 #define EC_R_POINT_IS_NOT_ON_CURVE 107
483 #define EC_R_SLOT_FULL 108
484 #define EC_R_UNDEFINED_GENERATOR 113
485 #define EC_R_UNDEFINED_ORDER 128
486 #define EC_R_UNKNOWN_GROUP 129
487 #define EC_R_UNKNOWN_ORDER 114
488 #define EC_R_UNSUPPORTED_FIELD 131
489 #define EC_R_WRONG_ORDER 130