2 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
3 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
5 * Licensed under the OpenSSL license (the "License"). You may not use
6 * this file except in compliance with the License. You can obtain a copy
7 * in the file LICENSE in the source distribution or at
8 * https://www.openssl.org/source/license.html
13 #include <openssl/obj_mac.h>
14 #include <openssl/ec.h>
15 #include <openssl/bn.h>
16 #include "internal/refcount.h"
20 #if defined(__SUNPRO_C)
21 # if __SUNPRO_C >= 0x520
22 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
26 /* Use default functions for poin2oct, oct2point and compressed coordinates */
27 #define EC_FLAGS_DEFAULT_OCT 0x1
29 /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
30 #define EC_FLAGS_CUSTOM_CURVE 0x2
32 /* Curve does not support signing operations */
33 #define EC_FLAGS_NO_SIGN 0x4
36 * Structure details are not part of the exported interface, so all this may
37 * change in future versions.
41 /* Various method flags */
43 /* used by EC_METHOD_get_field_type: */
44 int field_type; /* a NID */
46 * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
49 int (*group_init) (EC_GROUP *);
50 void (*group_finish) (EC_GROUP *);
51 void (*group_clear_finish) (EC_GROUP *);
52 int (*group_copy) (EC_GROUP *, const EC_GROUP *);
53 /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
54 /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
55 int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
56 const BIGNUM *b, BN_CTX *);
57 int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
59 /* used by EC_GROUP_get_degree: */
60 int (*group_get_degree) (const EC_GROUP *);
61 int (*group_order_bits) (const EC_GROUP *);
62 /* used by EC_GROUP_check: */
63 int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
65 * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
68 int (*point_init) (EC_POINT *);
69 void (*point_finish) (EC_POINT *);
70 void (*point_clear_finish) (EC_POINT *);
71 int (*point_copy) (EC_POINT *, const EC_POINT *);
73 * used by EC_POINT_set_to_infinity,
74 * EC_POINT_set_Jprojective_coordinates_GFp,
75 * EC_POINT_get_Jprojective_coordinates_GFp,
76 * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
77 * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
78 * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
80 int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
81 int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
82 EC_POINT *, const BIGNUM *x,
84 const BIGNUM *z, BN_CTX *);
85 int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
86 const EC_POINT *, BIGNUM *x,
89 int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
90 const BIGNUM *x, const BIGNUM *y,
92 int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
93 BIGNUM *x, BIGNUM *y, BN_CTX *);
94 int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
95 const BIGNUM *x, int y_bit,
97 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
98 size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
99 point_conversion_form_t form, unsigned char *buf,
100 size_t len, BN_CTX *);
101 int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
102 size_t len, BN_CTX *);
103 /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
104 int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
105 const EC_POINT *b, BN_CTX *);
106 int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
107 int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
109 * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
111 int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
112 int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
113 int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
115 /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
116 int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
117 int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
120 * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
121 * EC_POINT_have_precompute_mult (default implementations are used if the
122 * 'mul' pointer is 0):
124 int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
125 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
127 int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
128 int (*have_precompute_mult) (const EC_GROUP *group);
129 /* internal functions */
131 * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
132 * 'dbl' so that the same implementations of point operations can be used
133 * with different optimized implementations of expensive field
136 int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
137 const BIGNUM *b, BN_CTX *);
138 int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
139 int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
140 const BIGNUM *b, BN_CTX *);
141 /* e.g. to Montgomery */
142 int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
144 /* e.g. from Montgomery */
145 int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
147 int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
148 /* private key operations */
149 size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
150 int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
151 int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
152 int (*keygen)(EC_KEY *eckey);
153 int (*keycheck)(const EC_KEY *eckey);
154 int (*keygenpub)(EC_KEY *eckey);
155 int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
156 void (*keyfinish)(EC_KEY *eckey);
157 /* custom ECDH operation */
158 int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
159 const EC_POINT *pub_key, const EC_KEY *ecdh);
163 * Types and functions to manipulate pre-computed values.
165 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
166 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
167 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
168 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
169 typedef struct ec_pre_comp_st EC_PRE_COMP;
172 const EC_METHOD *meth;
173 EC_POINT *generator; /* optional */
174 BIGNUM *order, *cofactor;
175 int curve_name; /* optional NID for named curve */
176 int asn1_flag; /* flag to control the asn1 encoding */
177 point_conversion_form_t asn1_form;
178 unsigned char *seed; /* optional seed for parameters (appears in
182 * The following members are handled by the method functions, even if
183 * they appear generic
186 * Field specification. For curves over GF(p), this is the modulus; for
187 * curves over GF(2^m), this is the irreducible polynomial defining the
192 * Field specification for curves over GF(2^m). The irreducible f(t) is
193 * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
194 * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
195 * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
200 * Curve coefficients. (Here the assumption is that BIGNUMs can be used
201 * or abused for all kinds of fields, not just GF(p).) For characteristic
202 * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
203 * x^3 + a*x + b. For characteristic 2, the curve is defined by an
204 * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
207 /* enable optimized point arithmetics for special case */
209 /* method-specific (e.g., Montgomery structure) */
211 /* method-specific */
213 /* method-specific */
214 int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
216 /* data for ECDSA inverse */
217 BN_MONT_CTX *mont_data;
220 * Precomputed values for speed. The PCT_xxx names match the
221 * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
226 PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256,
230 NISTP224_PRE_COMP *nistp224;
231 NISTP256_PRE_COMP *nistp256;
232 NISTP521_PRE_COMP *nistp521;
233 NISTZ256_PRE_COMP *nistz256;
238 #define SETPRECOMP(g, type, pre) \
239 g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
240 #define HAVEPRECOMP(g, type) \
241 g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
244 const EC_KEY_METHOD *meth;
250 unsigned int enc_flag;
251 point_conversion_form_t conv_form;
252 CRYPTO_REF_COUNT references;
254 CRYPTO_EX_DATA ex_data;
259 const EC_METHOD *meth;
261 * All members except 'meth' are handled by the method functions, even if
262 * they appear generic
266 BIGNUM *Z; /* Jacobian projective coordinates: * (X, Y,
267 * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
268 int Z_is_one; /* enable optimized point arithmetics for
272 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
273 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
274 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
275 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
276 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
277 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
279 void EC_pre_comp_free(EC_GROUP *group);
280 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
281 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
282 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
283 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
284 void EC_ec_pre_comp_free(EC_PRE_COMP *);
287 * method functions in ec_mult.c (ec_lib.c uses these as defaults if
288 * group->method->mul is 0)
290 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
291 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
293 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
294 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
296 /* method functions in ecp_smpl.c */
297 int ec_GFp_simple_group_init(EC_GROUP *);
298 void ec_GFp_simple_group_finish(EC_GROUP *);
299 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
300 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
301 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
302 const BIGNUM *a, const BIGNUM *b, BN_CTX *);
303 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
304 BIGNUM *b, BN_CTX *);
305 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
306 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
307 int ec_GFp_simple_point_init(EC_POINT *);
308 void ec_GFp_simple_point_finish(EC_POINT *);
309 void ec_GFp_simple_point_clear_finish(EC_POINT *);
310 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
311 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
312 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
313 EC_POINT *, const BIGNUM *x,
315 const BIGNUM *z, BN_CTX *);
316 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
317 const EC_POINT *, BIGNUM *x,
318 BIGNUM *y, BIGNUM *z,
320 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
322 const BIGNUM *y, BN_CTX *);
323 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
324 const EC_POINT *, BIGNUM *x,
325 BIGNUM *y, BN_CTX *);
326 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
327 const BIGNUM *x, int y_bit,
329 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
330 point_conversion_form_t form,
331 unsigned char *buf, size_t len, BN_CTX *);
332 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
333 const unsigned char *buf, size_t len, BN_CTX *);
334 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
335 const EC_POINT *b, BN_CTX *);
336 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
338 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
339 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
340 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
341 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
343 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
344 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
345 EC_POINT *[], BN_CTX *);
346 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
347 const BIGNUM *b, BN_CTX *);
348 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
351 /* method functions in ecp_mont.c */
352 int ec_GFp_mont_group_init(EC_GROUP *);
353 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
354 const BIGNUM *b, BN_CTX *);
355 void ec_GFp_mont_group_finish(EC_GROUP *);
356 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
357 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
358 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
359 const BIGNUM *b, BN_CTX *);
360 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
362 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
364 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
366 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
368 /* method functions in ecp_nist.c */
369 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
370 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
371 const BIGNUM *b, BN_CTX *);
372 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
373 const BIGNUM *b, BN_CTX *);
374 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
377 /* method functions in ec2_smpl.c */
378 int ec_GF2m_simple_group_init(EC_GROUP *);
379 void ec_GF2m_simple_group_finish(EC_GROUP *);
380 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
381 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
382 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
383 const BIGNUM *a, const BIGNUM *b,
385 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
386 BIGNUM *b, BN_CTX *);
387 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
388 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
389 int ec_GF2m_simple_point_init(EC_POINT *);
390 void ec_GF2m_simple_point_finish(EC_POINT *);
391 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
392 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
393 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
394 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
396 const BIGNUM *y, BN_CTX *);
397 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
398 const EC_POINT *, BIGNUM *x,
399 BIGNUM *y, BN_CTX *);
400 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
401 const BIGNUM *x, int y_bit,
403 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
404 point_conversion_form_t form,
405 unsigned char *buf, size_t len, BN_CTX *);
406 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
407 const unsigned char *buf, size_t len, BN_CTX *);
408 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
409 const EC_POINT *b, BN_CTX *);
410 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
412 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
413 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
414 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
415 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
417 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
418 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
419 EC_POINT *[], BN_CTX *);
420 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
421 const BIGNUM *b, BN_CTX *);
422 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
424 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
425 const BIGNUM *b, BN_CTX *);
427 /* method functions in ec2_mult.c */
428 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
429 const BIGNUM *scalar, size_t num,
430 const EC_POINT *points[], const BIGNUM *scalars[],
432 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
433 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
435 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
436 /* method functions in ecp_nistp224.c */
437 int ec_GFp_nistp224_group_init(EC_GROUP *group);
438 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
439 const BIGNUM *a, const BIGNUM *n,
441 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
442 const EC_POINT *point,
443 BIGNUM *x, BIGNUM *y,
445 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
446 const BIGNUM *scalar, size_t num,
447 const EC_POINT *points[], const BIGNUM *scalars[],
449 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
450 const BIGNUM *scalar, size_t num,
451 const EC_POINT *points[],
452 const BIGNUM *scalars[], BN_CTX *ctx);
453 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
454 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
456 /* method functions in ecp_nistp256.c */
457 int ec_GFp_nistp256_group_init(EC_GROUP *group);
458 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
459 const BIGNUM *a, const BIGNUM *n,
461 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
462 const EC_POINT *point,
463 BIGNUM *x, BIGNUM *y,
465 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
466 const BIGNUM *scalar, size_t num,
467 const EC_POINT *points[], const BIGNUM *scalars[],
469 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
470 const BIGNUM *scalar, size_t num,
471 const EC_POINT *points[],
472 const BIGNUM *scalars[], BN_CTX *ctx);
473 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
474 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
476 /* method functions in ecp_nistp521.c */
477 int ec_GFp_nistp521_group_init(EC_GROUP *group);
478 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
479 const BIGNUM *a, const BIGNUM *n,
481 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
482 const EC_POINT *point,
483 BIGNUM *x, BIGNUM *y,
485 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
486 const BIGNUM *scalar, size_t num,
487 const EC_POINT *points[], const BIGNUM *scalars[],
489 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
490 const BIGNUM *scalar, size_t num,
491 const EC_POINT *points[],
492 const BIGNUM *scalars[], BN_CTX *ctx);
493 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
494 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
496 /* utility functions in ecp_nistputil.c */
497 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
500 void (*felem_one) (void *out),
501 int (*felem_is_zero) (const void
503 void (*felem_assign) (void *out,
506 void (*felem_square) (void *out,
509 void (*felem_mul) (void *out,
514 void (*felem_inv) (void *out,
517 void (*felem_contract) (void
522 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
523 unsigned char *digit, unsigned char in);
525 int ec_precompute_mont_data(EC_GROUP *);
526 int ec_group_simple_order_bits(const EC_GROUP *group);
528 #ifdef ECP_NISTZ256_ASM
529 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
530 * P256. See http://eprint.iacr.org/2013/816.
531 * \return EC_METHOD object
533 const EC_METHOD *EC_GFp_nistz256_method(void);
536 size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
537 unsigned char *buf, size_t len);
538 int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
539 int ec_key_simple_generate_key(EC_KEY *eckey);
540 int ec_key_simple_generate_public_key(EC_KEY *eckey);
541 int ec_key_simple_check_key(const EC_KEY *eckey);
543 /* EC_METHOD definitions */
545 struct ec_key_method_st {
548 int (*init)(EC_KEY *key);
549 void (*finish)(EC_KEY *key);
550 int (*copy)(EC_KEY *dest, const EC_KEY *src);
551 int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
552 int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
553 int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
554 int (*keygen)(EC_KEY *key);
555 int (*compute_key)(unsigned char **pout, size_t *poutlen,
556 const EC_POINT *pub_key, const EC_KEY *ecdh);
557 int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
558 *sig, unsigned int *siglen, const BIGNUM *kinv,
559 const BIGNUM *r, EC_KEY *eckey);
560 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
562 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
563 const BIGNUM *in_kinv, const BIGNUM *in_r,
566 int (*verify)(int type, const unsigned char *dgst, int dgst_len,
567 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
568 int (*verify_sig)(const unsigned char *dgst, int dgst_len,
569 const ECDSA_SIG *sig, EC_KEY *eckey);
572 #define EC_KEY_METHOD_DYNAMIC 1
574 int ossl_ec_key_gen(EC_KEY *eckey);
575 int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
576 const EC_POINT *pub_key, const EC_KEY *ecdh);
577 int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
578 const EC_POINT *pub_key, const EC_KEY *ecdh);
580 struct ECDSA_SIG_st {
585 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
587 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
588 unsigned char *sig, unsigned int *siglen,
589 const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
590 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
591 const BIGNUM *in_kinv, const BIGNUM *in_r,
593 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
594 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
595 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
596 const ECDSA_SIG *sig, EC_KEY *eckey);
598 int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len,
599 const uint8_t public_key[32], const uint8_t private_key[32]);
600 int ED25519_verify(const uint8_t *message, size_t message_len,
601 const uint8_t signature[64], const uint8_t public_key[32]);
602 void ED25519_public_from_private(uint8_t out_public_key[32],
603 const uint8_t private_key[32]);
605 int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
606 const uint8_t peer_public_value[32]);
607 void X25519_public_from_private(uint8_t out_public_value[32],
608 const uint8_t private_key[32]);