2 * Copyright 2001-2018 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"
17 #include "curve448/curve448_lcl.h"
19 #if defined(__SUNPRO_C)
20 # if __SUNPRO_C >= 0x520
21 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
25 /* Use default functions for poin2oct, oct2point and compressed coordinates */
26 #define EC_FLAGS_DEFAULT_OCT 0x1
28 /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
29 #define EC_FLAGS_CUSTOM_CURVE 0x2
31 /* Curve does not support signing operations */
32 #define EC_FLAGS_NO_SIGN 0x4
35 * Structure details are not part of the exported interface, so all this may
36 * change in future versions.
40 /* Various method flags */
42 /* used by EC_METHOD_get_field_type: */
43 int field_type; /* a NID */
45 * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
48 int (*group_init) (EC_GROUP *);
49 void (*group_finish) (EC_GROUP *);
50 void (*group_clear_finish) (EC_GROUP *);
51 int (*group_copy) (EC_GROUP *, const EC_GROUP *);
52 /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
53 /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
54 int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
55 const BIGNUM *b, BN_CTX *);
56 int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
58 /* used by EC_GROUP_get_degree: */
59 int (*group_get_degree) (const EC_GROUP *);
60 int (*group_order_bits) (const EC_GROUP *);
61 /* used by EC_GROUP_check: */
62 int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
64 * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
67 int (*point_init) (EC_POINT *);
68 void (*point_finish) (EC_POINT *);
69 void (*point_clear_finish) (EC_POINT *);
70 int (*point_copy) (EC_POINT *, const EC_POINT *);
72 * used by EC_POINT_set_to_infinity,
73 * EC_POINT_set_Jprojective_coordinates_GFp,
74 * EC_POINT_get_Jprojective_coordinates_GFp,
75 * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
76 * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
77 * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
79 int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
80 int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
81 EC_POINT *, const BIGNUM *x,
83 const BIGNUM *z, BN_CTX *);
84 int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
85 const EC_POINT *, BIGNUM *x,
88 int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
89 const BIGNUM *x, const BIGNUM *y,
91 int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
92 BIGNUM *x, BIGNUM *y, BN_CTX *);
93 int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
94 const BIGNUM *x, int y_bit,
96 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
97 size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
98 point_conversion_form_t form, unsigned char *buf,
99 size_t len, BN_CTX *);
100 int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
101 size_t len, BN_CTX *);
102 /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
103 int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
104 const EC_POINT *b, BN_CTX *);
105 int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
106 int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
108 * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
110 int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
111 int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
112 int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
114 /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
115 int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
116 int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
119 * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
120 * EC_POINT_have_precompute_mult (default implementations are used if the
121 * 'mul' pointer is 0):
123 int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
124 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
126 int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
127 int (*have_precompute_mult) (const EC_GROUP *group);
128 /* internal functions */
130 * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
131 * 'dbl' so that the same implementations of point operations can be used
132 * with different optimized implementations of expensive field
135 int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
136 const BIGNUM *b, BN_CTX *);
137 int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
138 int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
139 const BIGNUM *b, BN_CTX *);
140 /* e.g. to Montgomery */
141 int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
143 /* e.g. from Montgomery */
144 int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
146 int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
147 /* private key operations */
148 size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
149 int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
150 int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
151 int (*keygen)(EC_KEY *eckey);
152 int (*keycheck)(const EC_KEY *eckey);
153 int (*keygenpub)(EC_KEY *eckey);
154 int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
155 void (*keyfinish)(EC_KEY *eckey);
156 /* custom ECDH operation */
157 int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
158 const EC_POINT *pub_key, const EC_KEY *ecdh);
159 /* Inverse modulo order */
160 int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r, BIGNUM *x,
165 * Types and functions to manipulate pre-computed values.
167 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
168 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
169 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
170 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
171 typedef struct ec_pre_comp_st EC_PRE_COMP;
174 const EC_METHOD *meth;
175 EC_POINT *generator; /* optional */
176 BIGNUM *order, *cofactor;
177 int curve_name; /* optional NID for named curve */
178 int asn1_flag; /* flag to control the asn1 encoding */
179 point_conversion_form_t asn1_form;
180 unsigned char *seed; /* optional seed for parameters (appears in
184 * The following members are handled by the method functions, even if
185 * they appear generic
188 * Field specification. For curves over GF(p), this is the modulus; for
189 * curves over GF(2^m), this is the irreducible polynomial defining the
194 * Field specification for curves over GF(2^m). The irreducible f(t) is
195 * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
196 * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
197 * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
202 * Curve coefficients. (Here the assumption is that BIGNUMs can be used
203 * or abused for all kinds of fields, not just GF(p).) For characteristic
204 * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
205 * x^3 + a*x + b. For characteristic 2, the curve is defined by an
206 * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
209 /* enable optimized point arithmetics for special case */
211 /* method-specific (e.g., Montgomery structure) */
213 /* method-specific */
215 /* method-specific */
216 int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
218 /* data for ECDSA inverse */
219 BN_MONT_CTX *mont_data;
222 * Precomputed values for speed. The PCT_xxx names match the
223 * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
228 PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256,
232 NISTP224_PRE_COMP *nistp224;
233 NISTP256_PRE_COMP *nistp256;
234 NISTP521_PRE_COMP *nistp521;
235 NISTZ256_PRE_COMP *nistz256;
240 #define SETPRECOMP(g, type, pre) \
241 g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
242 #define HAVEPRECOMP(g, type) \
243 g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
246 const EC_KEY_METHOD *meth;
252 unsigned int enc_flag;
253 point_conversion_form_t conv_form;
254 CRYPTO_REF_COUNT references;
256 CRYPTO_EX_DATA ex_data;
261 const EC_METHOD *meth;
263 * All members except 'meth' are handled by the method functions, even if
264 * they appear generic
268 BIGNUM *Z; /* Jacobian projective coordinates: * (X, Y,
269 * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
270 int Z_is_one; /* enable optimized point arithmetics for
274 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
275 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
276 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
277 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
278 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
279 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
281 void EC_pre_comp_free(EC_GROUP *group);
282 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
283 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
284 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
285 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
286 void EC_ec_pre_comp_free(EC_PRE_COMP *);
289 * method functions in ec_mult.c (ec_lib.c uses these as defaults if
290 * group->method->mul is 0)
292 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
293 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
295 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
296 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
298 /* method functions in ecp_smpl.c */
299 int ec_GFp_simple_group_init(EC_GROUP *);
300 void ec_GFp_simple_group_finish(EC_GROUP *);
301 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
302 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
303 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
304 const BIGNUM *a, const BIGNUM *b, BN_CTX *);
305 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
306 BIGNUM *b, BN_CTX *);
307 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
308 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
309 int ec_GFp_simple_point_init(EC_POINT *);
310 void ec_GFp_simple_point_finish(EC_POINT *);
311 void ec_GFp_simple_point_clear_finish(EC_POINT *);
312 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
313 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
314 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
315 EC_POINT *, const BIGNUM *x,
317 const BIGNUM *z, BN_CTX *);
318 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
319 const EC_POINT *, BIGNUM *x,
320 BIGNUM *y, BIGNUM *z,
322 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
324 const BIGNUM *y, BN_CTX *);
325 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
326 const EC_POINT *, BIGNUM *x,
327 BIGNUM *y, BN_CTX *);
328 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
329 const BIGNUM *x, int y_bit,
331 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
332 point_conversion_form_t form,
333 unsigned char *buf, size_t len, BN_CTX *);
334 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
335 const unsigned char *buf, size_t len, BN_CTX *);
336 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
337 const EC_POINT *b, BN_CTX *);
338 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
340 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
341 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
342 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
343 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
345 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
346 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
347 EC_POINT *[], BN_CTX *);
348 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
349 const BIGNUM *b, BN_CTX *);
350 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
353 /* method functions in ecp_mont.c */
354 int ec_GFp_mont_group_init(EC_GROUP *);
355 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
356 const BIGNUM *b, BN_CTX *);
357 void ec_GFp_mont_group_finish(EC_GROUP *);
358 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
359 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
360 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
361 const BIGNUM *b, BN_CTX *);
362 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
364 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
366 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
368 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
370 /* method functions in ecp_nist.c */
371 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
372 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
373 const BIGNUM *b, BN_CTX *);
374 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
375 const BIGNUM *b, BN_CTX *);
376 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
379 /* method functions in ec2_smpl.c */
380 int ec_GF2m_simple_group_init(EC_GROUP *);
381 void ec_GF2m_simple_group_finish(EC_GROUP *);
382 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
383 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
384 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
385 const BIGNUM *a, const BIGNUM *b,
387 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
388 BIGNUM *b, BN_CTX *);
389 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
390 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
391 int ec_GF2m_simple_point_init(EC_POINT *);
392 void ec_GF2m_simple_point_finish(EC_POINT *);
393 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
394 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
395 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
396 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
398 const BIGNUM *y, BN_CTX *);
399 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
400 const EC_POINT *, BIGNUM *x,
401 BIGNUM *y, BN_CTX *);
402 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
403 const BIGNUM *x, int y_bit,
405 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
406 point_conversion_form_t form,
407 unsigned char *buf, size_t len, BN_CTX *);
408 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
409 const unsigned char *buf, size_t len, BN_CTX *);
410 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
411 const EC_POINT *b, BN_CTX *);
412 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
414 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
415 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
416 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
417 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
419 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
420 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
421 EC_POINT *[], BN_CTX *);
422 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
423 const BIGNUM *b, BN_CTX *);
424 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
426 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
427 const BIGNUM *b, BN_CTX *);
429 /* method functions in ec2_mult.c */
430 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
431 const BIGNUM *scalar, size_t num,
432 const EC_POINT *points[], const BIGNUM *scalars[],
434 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
435 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
437 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
438 /* method functions in ecp_nistp224.c */
439 int ec_GFp_nistp224_group_init(EC_GROUP *group);
440 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
441 const BIGNUM *a, const BIGNUM *n,
443 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
444 const EC_POINT *point,
445 BIGNUM *x, BIGNUM *y,
447 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
448 const BIGNUM *scalar, size_t num,
449 const EC_POINT *points[], const BIGNUM *scalars[],
451 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
452 const BIGNUM *scalar, size_t num,
453 const EC_POINT *points[],
454 const BIGNUM *scalars[], BN_CTX *ctx);
455 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
456 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
458 /* method functions in ecp_nistp256.c */
459 int ec_GFp_nistp256_group_init(EC_GROUP *group);
460 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
461 const BIGNUM *a, const BIGNUM *n,
463 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
464 const EC_POINT *point,
465 BIGNUM *x, BIGNUM *y,
467 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
468 const BIGNUM *scalar, size_t num,
469 const EC_POINT *points[], const BIGNUM *scalars[],
471 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
472 const BIGNUM *scalar, size_t num,
473 const EC_POINT *points[],
474 const BIGNUM *scalars[], BN_CTX *ctx);
475 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
476 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
478 /* method functions in ecp_nistp521.c */
479 int ec_GFp_nistp521_group_init(EC_GROUP *group);
480 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
481 const BIGNUM *a, const BIGNUM *n,
483 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
484 const EC_POINT *point,
485 BIGNUM *x, BIGNUM *y,
487 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
488 const BIGNUM *scalar, size_t num,
489 const EC_POINT *points[], const BIGNUM *scalars[],
491 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
492 const BIGNUM *scalar, size_t num,
493 const EC_POINT *points[],
494 const BIGNUM *scalars[], BN_CTX *ctx);
495 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
496 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
498 /* utility functions in ecp_nistputil.c */
499 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
502 void (*felem_one) (void *out),
503 int (*felem_is_zero) (const void
505 void (*felem_assign) (void *out,
508 void (*felem_square) (void *out,
511 void (*felem_mul) (void *out,
516 void (*felem_inv) (void *out,
519 void (*felem_contract) (void
524 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
525 unsigned char *digit, unsigned char in);
527 int ec_group_simple_order_bits(const EC_GROUP *group);
529 #ifdef ECP_NISTZ256_ASM
530 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
531 * P256. See http://eprint.iacr.org/2013/816.
532 * \return EC_METHOD object
534 const EC_METHOD *EC_GFp_nistz256_method(void);
537 size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
538 unsigned char *buf, size_t len);
539 int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
540 int ec_key_simple_generate_key(EC_KEY *eckey);
541 int ec_key_simple_generate_public_key(EC_KEY *eckey);
542 int ec_key_simple_check_key(const EC_KEY *eckey);
544 /* EC_METHOD definitions */
546 struct ec_key_method_st {
549 int (*init)(EC_KEY *key);
550 void (*finish)(EC_KEY *key);
551 int (*copy)(EC_KEY *dest, const EC_KEY *src);
552 int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
553 int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
554 int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
555 int (*keygen)(EC_KEY *key);
556 int (*compute_key)(unsigned char **pout, size_t *poutlen,
557 const EC_POINT *pub_key, const EC_KEY *ecdh);
558 int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
559 *sig, unsigned int *siglen, const BIGNUM *kinv,
560 const BIGNUM *r, EC_KEY *eckey);
561 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
563 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
564 const BIGNUM *in_kinv, const BIGNUM *in_r,
567 int (*verify)(int type, const unsigned char *dgst, int dgst_len,
568 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
569 int (*verify_sig)(const unsigned char *dgst, int dgst_len,
570 const ECDSA_SIG *sig, EC_KEY *eckey);
573 #define EC_KEY_METHOD_DYNAMIC 1
575 int ossl_ec_key_gen(EC_KEY *eckey);
576 int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
577 const EC_POINT *pub_key, const EC_KEY *ecdh);
578 int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
579 const EC_POINT *pub_key, const EC_KEY *ecdh);
581 struct ECDSA_SIG_st {
586 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
588 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
589 unsigned char *sig, unsigned int *siglen,
590 const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
591 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
592 const BIGNUM *in_kinv, const BIGNUM *in_r,
594 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
595 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
596 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
597 const ECDSA_SIG *sig, EC_KEY *eckey);
599 int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len,
600 const uint8_t public_key[32], const uint8_t private_key[32]);
601 int ED25519_verify(const uint8_t *message, size_t message_len,
602 const uint8_t signature[64], const uint8_t public_key[32]);
603 void ED25519_public_from_private(uint8_t out_public_key[32],
604 const uint8_t private_key[32]);
606 int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
607 const uint8_t peer_public_value[32]);
608 void X25519_public_from_private(uint8_t out_public_value[32],
609 const uint8_t private_key[32]);
611 int EC_GROUP_do_inverse_ord(const EC_GROUP *group, BIGNUM *res,
612 BIGNUM *x, BN_CTX *ctx);