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1 /* Originally written by Bodo Moeller for the OpenSSL project.
2  * ====================================================================
3  * Copyright (c) 1998-2005 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  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
57  *
58  * Portions of the attached software ("Contribution") are developed by
59  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
60  *
61  * The Contribution is licensed pursuant to the OpenSSL open source
62  * license provided above.
63  *
64  * The elliptic curve binary polynomial software is originally written by
65  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
66  * Laboratories. */
67 
68 #ifndef OPENSSL_HEADER_EC_H
69 #define OPENSSL_HEADER_EC_H
70 
71 #include <openssl/base.h>
72 
73 #if defined(__cplusplus)
74 extern "C" {
75 #endif
76 
77 
78 // Low-level operations on elliptic curves.
79 
80 
81 // point_conversion_form_t enumerates forms, as defined in X9.62 (ECDSA), for
82 // the encoding of a elliptic curve point (x,y)
83 typedef enum {
84   // POINT_CONVERSION_COMPRESSED indicates that the point is encoded as z||x,
85   // where the octet z specifies which solution of the quadratic equation y
86   // is.
87   POINT_CONVERSION_COMPRESSED = 2,
88 
89   // POINT_CONVERSION_UNCOMPRESSED indicates that the point is encoded as
90   // z||x||y, where z is the octet 0x04.
91   POINT_CONVERSION_UNCOMPRESSED = 4,
92 
93   // POINT_CONVERSION_HYBRID indicates that the point is encoded as z||x||y,
94   // where z specifies which solution of the quadratic equation y is. This is
95   // not supported by the code and has never been observed in use.
96   //
97   // TODO(agl): remove once node.js no longer references this.
98   POINT_CONVERSION_HYBRID = 6,
99 } point_conversion_form_t;
100 
101 
102 // Elliptic curve groups.
103 
104 // EC_group_p224 returns an |EC_GROUP| for P-224, also known as secp224r1.
105 OPENSSL_EXPORT const EC_GROUP *EC_group_p224(void);
106 
107 // EC_group_p256 returns an |EC_GROUP| for P-256, also known as secp256r1 or
108 // prime256v1.
109 OPENSSL_EXPORT const EC_GROUP *EC_group_p256(void);
110 
111 // EC_group_p384 returns an |EC_GROUP| for P-384, also known as secp384r1.
112 OPENSSL_EXPORT const EC_GROUP *EC_group_p384(void);
113 
114 // EC_group_p521 returns an |EC_GROUP| for P-521, also known as secp521r1.
115 OPENSSL_EXPORT const EC_GROUP *EC_group_p521(void);
116 
117 // EC_GROUP_new_by_curve_name returns the |EC_GROUP| object for the elliptic
118 // curve specified by |nid|, or NULL on unsupported NID.  For OpenSSL
119 // compatibility, this function returns a non-const pointer which may be passed
120 // to |EC_GROUP_free|. However, the resulting object is actually static and
121 // calling |EC_GROUP_free| is optional.
122 //
123 // The supported NIDs are:
124 //   NID_secp224r1 (P-224),
125 //   NID_X9_62_prime256v1 (P-256),
126 //   NID_secp384r1 (P-384),
127 //   NID_secp521r1 (P-521)
128 //
129 // Calling this function causes all four curves to be linked into the binary.
130 // Prefer calling |EC_group_*| to allow the static linker to drop unused curves.
131 //
132 // If in doubt, use |NID_X9_62_prime256v1|, or see the curve25519.h header for
133 // more modern primitives.
134 OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
135 
136 // EC_GROUP_free releases a reference to |group|.
137 OPENSSL_EXPORT void EC_GROUP_free(EC_GROUP *group);
138 
139 // EC_GROUP_dup takes a reference to |a| and returns it.
140 OPENSSL_EXPORT EC_GROUP *EC_GROUP_dup(const EC_GROUP *a);
141 
142 // EC_GROUP_cmp returns zero if |a| and |b| are the same group and non-zero
143 // otherwise.
144 OPENSSL_EXPORT int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b,
145                                 BN_CTX *ignored);
146 
147 // EC_GROUP_get0_generator returns a pointer to the internal |EC_POINT| object
148 // in |group| that specifies the generator for the group.
149 OPENSSL_EXPORT const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
150 
151 // EC_GROUP_get0_order returns a pointer to the internal |BIGNUM| object in
152 // |group| that specifies the order of the group.
153 OPENSSL_EXPORT const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
154 
155 // EC_GROUP_order_bits returns the number of bits of the order of |group|.
156 OPENSSL_EXPORT int EC_GROUP_order_bits(const EC_GROUP *group);
157 
158 // EC_GROUP_get_cofactor sets |*cofactor| to the cofactor of |group| using
159 // |ctx|, if it's not NULL. It returns one on success and zero otherwise.
160 OPENSSL_EXPORT int EC_GROUP_get_cofactor(const EC_GROUP *group,
161                                          BIGNUM *cofactor, BN_CTX *ctx);
162 
163 // EC_GROUP_get_curve_GFp gets various parameters about a group. It sets
164 // |*out_p| to the order of the coordinate field and |*out_a| and |*out_b| to
165 // the parameters of the curve when expressed as y² = x³ + ax + b. Any of the
166 // output parameters can be NULL. It returns one on success and zero on
167 // error.
168 OPENSSL_EXPORT int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p,
169                                           BIGNUM *out_a, BIGNUM *out_b,
170                                           BN_CTX *ctx);
171 
172 // EC_GROUP_get_curve_name returns a NID that identifies |group|.
173 OPENSSL_EXPORT int EC_GROUP_get_curve_name(const EC_GROUP *group);
174 
175 // EC_GROUP_get_degree returns the number of bits needed to represent an
176 // element of the field underlying |group|.
177 OPENSSL_EXPORT unsigned EC_GROUP_get_degree(const EC_GROUP *group);
178 
179 // EC_curve_nid2nist returns the NIST name of the elliptic curve specified by
180 // |nid|, or NULL if |nid| is not a NIST curve. For example, it returns "P-256"
181 // for |NID_X9_62_prime256v1|.
182 OPENSSL_EXPORT const char *EC_curve_nid2nist(int nid);
183 
184 // EC_curve_nist2nid returns the NID of the elliptic curve specified by the NIST
185 // name |name|, or |NID_undef| if |name| is not a recognized name. For example,
186 // it returns |NID_X9_62_prime256v1| for "P-256".
187 OPENSSL_EXPORT int EC_curve_nist2nid(const char *name);
188 
189 
190 // Points on elliptic curves.
191 
192 // EC_POINT_new returns a fresh |EC_POINT| object in the given group, or NULL
193 // on error.
194 OPENSSL_EXPORT EC_POINT *EC_POINT_new(const EC_GROUP *group);
195 
196 // EC_POINT_free frees |point| and the data that it points to.
197 OPENSSL_EXPORT void EC_POINT_free(EC_POINT *point);
198 
199 // EC_POINT_copy sets |*dest| equal to |*src|. It returns one on success and
200 // zero otherwise.
201 OPENSSL_EXPORT int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src);
202 
203 // EC_POINT_dup returns a fresh |EC_POINT| that contains the same values as
204 // |src|, or NULL on error.
205 OPENSSL_EXPORT EC_POINT *EC_POINT_dup(const EC_POINT *src,
206                                       const EC_GROUP *group);
207 
208 // EC_POINT_set_to_infinity sets |point| to be the "point at infinity" for the
209 // given group.
210 OPENSSL_EXPORT int EC_POINT_set_to_infinity(const EC_GROUP *group,
211                                             EC_POINT *point);
212 
213 // EC_POINT_is_at_infinity returns one iff |point| is the point at infinity and
214 // zero otherwise.
215 OPENSSL_EXPORT int EC_POINT_is_at_infinity(const EC_GROUP *group,
216                                            const EC_POINT *point);
217 
218 // EC_POINT_is_on_curve returns one if |point| is an element of |group| and
219 // and zero otherwise or when an error occurs. This is different from OpenSSL,
220 // which returns -1 on error. If |ctx| is non-NULL, it may be used.
221 OPENSSL_EXPORT int EC_POINT_is_on_curve(const EC_GROUP *group,
222                                         const EC_POINT *point, BN_CTX *ctx);
223 
224 // EC_POINT_cmp returns zero if |a| is equal to |b|, greater than zero if
225 // not equal and -1 on error. If |ctx| is not NULL, it may be used.
226 OPENSSL_EXPORT int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a,
227                                 const EC_POINT *b, BN_CTX *ctx);
228 
229 
230 // Point conversion.
231 
232 // EC_POINT_get_affine_coordinates_GFp sets |x| and |y| to the affine value of
233 // |point| using |ctx|, if it's not NULL. It returns one on success and zero
234 // otherwise.
235 //
236 // Either |x| or |y| may be NULL to skip computing that coordinate. This is
237 // slightly faster in the common case where only the x-coordinate is needed.
238 OPENSSL_EXPORT int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
239                                                        const EC_POINT *point,
240                                                        BIGNUM *x, BIGNUM *y,
241                                                        BN_CTX *ctx);
242 
243 // EC_POINT_get_affine_coordinates is an alias of
244 // |EC_POINT_get_affine_coordinates_GFp|.
245 OPENSSL_EXPORT int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
246                                                    const EC_POINT *point,
247                                                    BIGNUM *x, BIGNUM *y,
248                                                    BN_CTX *ctx);
249 
250 // EC_POINT_set_affine_coordinates_GFp sets the value of |point| to be
251 // (|x|, |y|). The |ctx| argument may be used if not NULL. It returns one
252 // on success or zero on error. It's considered an error if the point is not on
253 // the curve.
254 //
255 // Note that the corresponding function in OpenSSL versions prior to 1.0.2s does
256 // not check if the point is on the curve. This is a security-critical check, so
257 // code additionally supporting OpenSSL should repeat the check with
258 // |EC_POINT_is_on_curve| or check for older OpenSSL versions with
259 // |OPENSSL_VERSION_NUMBER|.
260 OPENSSL_EXPORT int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
261                                                        EC_POINT *point,
262                                                        const BIGNUM *x,
263                                                        const BIGNUM *y,
264                                                        BN_CTX *ctx);
265 
266 // EC_POINT_set_affine_coordinates is an alias of
267 // |EC_POINT_set_affine_coordinates_GFp|.
268 OPENSSL_EXPORT int EC_POINT_set_affine_coordinates(const EC_GROUP *group,
269                                                    EC_POINT *point,
270                                                    const BIGNUM *x,
271                                                    const BIGNUM *y,
272                                                    BN_CTX *ctx);
273 
274 // EC_POINT_point2oct serialises |point| into the X9.62 form given by |form|
275 // into, at most, |max_out| bytes at |buf|. It returns the number of bytes
276 // written or zero on error if |buf| is non-NULL, else the number of bytes
277 // needed. The |ctx| argument may be used if not NULL.
278 OPENSSL_EXPORT size_t EC_POINT_point2oct(const EC_GROUP *group,
279                                          const EC_POINT *point,
280                                          point_conversion_form_t form,
281                                          uint8_t *buf, size_t max_out,
282                                          BN_CTX *ctx);
283 
284 // EC_POINT_point2buf serialises |point| into the X9.62 form given by |form| to
285 // a newly-allocated buffer and sets |*out_buf| to point to it. It returns the
286 // length of the result on success or zero on error. The caller must release
287 // |*out_buf| with |OPENSSL_free| when done.
288 OPENSSL_EXPORT size_t EC_POINT_point2buf(const EC_GROUP *group,
289                                          const EC_POINT *point,
290                                          point_conversion_form_t form,
291                                          uint8_t **out_buf, BN_CTX *ctx);
292 
293 // EC_POINT_point2cbb behaves like |EC_POINT_point2oct| but appends the
294 // serialised point to |cbb|. It returns one on success and zero on error.
295 OPENSSL_EXPORT int EC_POINT_point2cbb(CBB *out, const EC_GROUP *group,
296                                       const EC_POINT *point,
297                                       point_conversion_form_t form,
298                                       BN_CTX *ctx);
299 
300 // EC_POINT_oct2point sets |point| from |len| bytes of X9.62 format
301 // serialisation in |buf|. It returns one on success and zero on error. The
302 // |ctx| argument may be used if not NULL. It's considered an error if |buf|
303 // does not represent a point on the curve.
304 OPENSSL_EXPORT int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
305                                       const uint8_t *buf, size_t len,
306                                       BN_CTX *ctx);
307 
308 // EC_POINT_set_compressed_coordinates_GFp sets |point| to equal the point with
309 // the given |x| coordinate and the y coordinate specified by |y_bit| (see
310 // X9.62). It returns one on success and zero otherwise.
311 OPENSSL_EXPORT int EC_POINT_set_compressed_coordinates_GFp(
312     const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit,
313     BN_CTX *ctx);
314 
315 
316 // Group operations.
317 
318 // EC_POINT_add sets |r| equal to |a| plus |b|. It returns one on success and
319 // zero otherwise. If |ctx| is not NULL, it may be used.
320 OPENSSL_EXPORT int EC_POINT_add(const EC_GROUP *group, EC_POINT *r,
321                                 const EC_POINT *a, const EC_POINT *b,
322                                 BN_CTX *ctx);
323 
324 // EC_POINT_dbl sets |r| equal to |a| plus |a|. It returns one on success and
325 // zero otherwise. If |ctx| is not NULL, it may be used.
326 OPENSSL_EXPORT int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r,
327                                 const EC_POINT *a, BN_CTX *ctx);
328 
329 // EC_POINT_invert sets |a| equal to minus |a|. It returns one on success and
330 // zero otherwise. If |ctx| is not NULL, it may be used.
331 OPENSSL_EXPORT int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a,
332                                    BN_CTX *ctx);
333 
334 // EC_POINT_mul sets r = generator*n + q*m. It returns one on success and zero
335 // otherwise. If |ctx| is not NULL, it may be used.
336 OPENSSL_EXPORT int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r,
337                                 const BIGNUM *n, const EC_POINT *q,
338                                 const BIGNUM *m, BN_CTX *ctx);
339 
340 
341 // Hash-to-curve.
342 //
343 // The following functions implement primitives from RFC 9380. The |dst|
344 // parameter in each function is the domain separation tag and must be unique
345 // for each protocol and between the |hash_to_curve| and |hash_to_scalar|
346 // variants. See section 3.1 of the spec for additional guidance on this
347 // parameter.
348 
349 // EC_hash_to_curve_p256_xmd_sha256_sswu hashes |msg| to a point on |group| and
350 // writes the result to |out|, implementing the P256_XMD:SHA-256_SSWU_RO_ suite
351 // from RFC 9380. It returns one on success and zero on error.
352 OPENSSL_EXPORT int EC_hash_to_curve_p256_xmd_sha256_sswu(
353     const EC_GROUP *group, EC_POINT *out, const uint8_t *dst, size_t dst_len,
354     const uint8_t *msg, size_t msg_len);
355 
356 // EC_hash_to_curve_p384_xmd_sha384_sswu hashes |msg| to a point on |group| and
357 // writes the result to |out|, implementing the P384_XMD:SHA-384_SSWU_RO_ suite
358 // from RFC 9380. It returns one on success and zero on error.
359 OPENSSL_EXPORT int EC_hash_to_curve_p384_xmd_sha384_sswu(
360     const EC_GROUP *group, EC_POINT *out, const uint8_t *dst, size_t dst_len,
361     const uint8_t *msg, size_t msg_len);
362 
363 
364 // Deprecated functions.
365 
366 // EC_GROUP_new_curve_GFp creates a new, arbitrary elliptic curve group based
367 // on the equation y² = x³ + a·x + b. It returns the new group or NULL on
368 // error.
369 //
370 // This new group has no generator. It is an error to use a generator-less group
371 // with any functions except for |EC_GROUP_free|, |EC_POINT_new|,
372 // |EC_POINT_set_affine_coordinates_GFp|, and |EC_GROUP_set_generator|.
373 //
374 // |EC_GROUP|s returned by this function will always compare as unequal via
375 // |EC_GROUP_cmp| (even to themselves). |EC_GROUP_get_curve_name| will always
376 // return |NID_undef|.
377 //
378 // This function is provided for compatibility with some legacy applications
379 // only. Avoid using arbitrary curves and use |EC_GROUP_new_by_curve_name|
380 // instead. This ensures the result meets preconditions necessary for
381 // elliptic curve algorithms to function correctly and securely.
382 //
383 // Given invalid parameters, this function may fail or it may return an
384 // |EC_GROUP| which breaks these preconditions. Subsequent operations may then
385 // return arbitrary, incorrect values. Callers should not pass
386 // attacker-controlled values to this function.
387 OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p,
388                                                 const BIGNUM *a,
389                                                 const BIGNUM *b, BN_CTX *ctx);
390 
391 // EC_GROUP_set_generator sets the generator for |group| to |generator|, which
392 // must have the given order and cofactor. It may only be used with |EC_GROUP|
393 // objects returned by |EC_GROUP_new_curve_GFp| and may only be used once on
394 // each group. |generator| must have been created using |group|.
395 OPENSSL_EXPORT int EC_GROUP_set_generator(EC_GROUP *group,
396                                           const EC_POINT *generator,
397                                           const BIGNUM *order,
398                                           const BIGNUM *cofactor);
399 
400 // EC_GROUP_get_order sets |*order| to the order of |group|, if it's not
401 // NULL. It returns one on success and zero otherwise. |ctx| is ignored. Use
402 // |EC_GROUP_get0_order| instead.
403 OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order,
404                                       BN_CTX *ctx);
405 
406 #define OPENSSL_EC_EXPLICIT_CURVE 0
407 #define OPENSSL_EC_NAMED_CURVE 1
408 
409 // EC_GROUP_set_asn1_flag does nothing.
410 OPENSSL_EXPORT void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
411 
412 // EC_GROUP_get_asn1_flag returns |OPENSSL_EC_NAMED_CURVE|.
413 OPENSSL_EXPORT int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
414 
415 typedef struct ec_method_st EC_METHOD;
416 
417 // EC_GROUP_method_of returns a dummy non-NULL pointer.
418 OPENSSL_EXPORT const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
419 
420 // EC_METHOD_get_field_type returns NID_X9_62_prime_field.
421 OPENSSL_EXPORT int EC_METHOD_get_field_type(const EC_METHOD *meth);
422 
423 // EC_GROUP_set_point_conversion_form aborts the process if |form| is not
424 // |POINT_CONVERSION_UNCOMPRESSED| and otherwise does nothing.
425 OPENSSL_EXPORT void EC_GROUP_set_point_conversion_form(
426     EC_GROUP *group, point_conversion_form_t form);
427 
428 // EC_builtin_curve describes a supported elliptic curve.
429 typedef struct {
430   int nid;
431   const char *comment;
432 } EC_builtin_curve;
433 
434 // EC_get_builtin_curves writes at most |max_num_curves| elements to
435 // |out_curves| and returns the total number that it would have written, had
436 // |max_num_curves| been large enough.
437 //
438 // The |EC_builtin_curve| items describe the supported elliptic curves.
439 OPENSSL_EXPORT size_t EC_get_builtin_curves(EC_builtin_curve *out_curves,
440                                             size_t max_num_curves);
441 
442 // EC_POINT_clear_free calls |EC_POINT_free|.
443 OPENSSL_EXPORT void EC_POINT_clear_free(EC_POINT *point);
444 
445 
446 #if defined(__cplusplus)
447 }  // extern C
448 #endif
449 
450 // Old code expects to get EC_KEY from ec.h.
451 #include <openssl/ec_key.h>
452 
453 #if defined(__cplusplus)
454 extern "C++" {
455 
456 BSSL_NAMESPACE_BEGIN
457 
458 BORINGSSL_MAKE_DELETER(EC_POINT, EC_POINT_free)
459 BORINGSSL_MAKE_DELETER(EC_GROUP, EC_GROUP_free)
460 
461 BSSL_NAMESPACE_END
462 
463 }  // extern C++
464 
465 #endif
466 
467 #define EC_R_BUFFER_TOO_SMALL 100
468 #define EC_R_COORDINATES_OUT_OF_RANGE 101
469 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 102
470 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 103
471 #define EC_R_GROUP2PKPARAMETERS_FAILURE 104
472 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 105
473 #define EC_R_INCOMPATIBLE_OBJECTS 106
474 #define EC_R_INVALID_COMPRESSED_POINT 107
475 #define EC_R_INVALID_COMPRESSION_BIT 108
476 #define EC_R_INVALID_ENCODING 109
477 #define EC_R_INVALID_FIELD 110
478 #define EC_R_INVALID_FORM 111
479 #define EC_R_INVALID_GROUP_ORDER 112
480 #define EC_R_INVALID_PRIVATE_KEY 113
481 #define EC_R_MISSING_PARAMETERS 114
482 #define EC_R_MISSING_PRIVATE_KEY 115
483 #define EC_R_NON_NAMED_CURVE 116
484 #define EC_R_NOT_INITIALIZED 117
485 #define EC_R_PKPARAMETERS2GROUP_FAILURE 118
486 #define EC_R_POINT_AT_INFINITY 119
487 #define EC_R_POINT_IS_NOT_ON_CURVE 120
488 #define EC_R_SLOT_FULL 121
489 #define EC_R_UNDEFINED_GENERATOR 122
490 #define EC_R_UNKNOWN_GROUP 123
491 #define EC_R_UNKNOWN_ORDER 124
492 #define EC_R_WRONG_ORDER 125
493 #define EC_R_BIGNUM_OUT_OF_RANGE 126
494 #define EC_R_WRONG_CURVE_PARAMETERS 127
495 #define EC_R_DECODE_ERROR 128
496 #define EC_R_ENCODE_ERROR 129
497 #define EC_R_GROUP_MISMATCH 130
498 #define EC_R_INVALID_COFACTOR 131
499 #define EC_R_PUBLIC_KEY_VALIDATION_FAILED 132
500 #define EC_R_INVALID_SCALAR 133
501 
502 #endif  // OPENSSL_HEADER_EC_H
503