2 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
10 /* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
13 * Portions of the attached software ("Contribution") are developed by
14 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
16 * The Contribution is licensed pursuant to the OpenSSL open source
17 * license provided above.
19 * The elliptic curve binary polynomial software is originally written by
20 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
26 #include <openssl/obj_mac.h>
27 #include <openssl/ec.h>
28 #include <openssl/bn.h>
32 #if defined(__SUNPRO_C)
33 # if __SUNPRO_C >= 0x520
34 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
38 /* Use default functions for poin2oct, oct2point and compressed coordinates */
39 #define EC_FLAGS_DEFAULT_OCT 0x1
41 /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
42 #define EC_FLAGS_CUSTOM_CURVE 0x2
44 /* Curve does not support signing operations */
45 #define EC_FLAGS_NO_SIGN 0x4
48 * Structure details are not part of the exported interface, so all this may
49 * change in future versions.
53 /* Various method flags */
55 /* used by EC_METHOD_get_field_type: */
56 int field_type; /* a NID */
58 * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
61 int (*group_init) (EC_GROUP *);
62 void (*group_finish) (EC_GROUP *);
63 void (*group_clear_finish) (EC_GROUP *);
64 int (*group_copy) (EC_GROUP *, const EC_GROUP *);
65 /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
66 /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
67 int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
68 const BIGNUM *b, BN_CTX *);
69 int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
71 /* used by EC_GROUP_get_degree: */
72 int (*group_get_degree) (const EC_GROUP *);
73 int (*group_order_bits) (const EC_GROUP *);
74 /* used by EC_GROUP_check: */
75 int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
77 * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
80 int (*point_init) (EC_POINT *);
81 void (*point_finish) (EC_POINT *);
82 void (*point_clear_finish) (EC_POINT *);
83 int (*point_copy) (EC_POINT *, const EC_POINT *);
85 * used by EC_POINT_set_to_infinity,
86 * EC_POINT_set_Jprojective_coordinates_GFp,
87 * EC_POINT_get_Jprojective_coordinates_GFp,
88 * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
89 * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
90 * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
92 int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
93 int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
94 EC_POINT *, const BIGNUM *x,
96 const BIGNUM *z, BN_CTX *);
97 int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
98 const EC_POINT *, BIGNUM *x,
101 int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
102 const BIGNUM *x, const BIGNUM *y,
104 int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
105 BIGNUM *x, BIGNUM *y, BN_CTX *);
106 int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
107 const BIGNUM *x, int y_bit,
109 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
110 size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
111 point_conversion_form_t form, unsigned char *buf,
112 size_t len, BN_CTX *);
113 int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
114 size_t len, BN_CTX *);
115 /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
116 int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
117 const EC_POINT *b, BN_CTX *);
118 int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
119 int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
121 * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
123 int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
124 int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
125 int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
127 /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
128 int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
129 int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
132 * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
133 * EC_POINT_have_precompute_mult (default implementations are used if the
134 * 'mul' pointer is 0):
136 int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
137 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
139 int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
140 int (*have_precompute_mult) (const EC_GROUP *group);
141 /* internal functions */
143 * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
144 * 'dbl' so that the same implementations of point operations can be used
145 * with different optimized implementations of expensive field
148 int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
149 const BIGNUM *b, BN_CTX *);
150 int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
151 int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
152 const BIGNUM *b, BN_CTX *);
153 /* e.g. to Montgomery */
154 int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
156 /* e.g. from Montgomery */
157 int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
159 int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
160 /* private key operations */
161 size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
162 int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
163 int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
164 int (*keygen)(EC_KEY *eckey);
165 int (*keycheck)(const EC_KEY *eckey);
166 int (*keygenpub)(EC_KEY *eckey);
167 int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
168 void (*keyfinish)(EC_KEY *eckey);
169 /* custom ECDH operation */
170 int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
171 const EC_POINT *pub_key, const EC_KEY *ecdh);
175 * Types and functions to manipulate pre-computed values.
177 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
178 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
179 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
180 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
181 typedef struct ec_pre_comp_st EC_PRE_COMP;
184 const EC_METHOD *meth;
185 EC_POINT *generator; /* optional */
186 BIGNUM *order, *cofactor;
187 int curve_name; /* optional NID for named curve */
188 int asn1_flag; /* flag to control the asn1 encoding */
189 point_conversion_form_t asn1_form;
190 unsigned char *seed; /* optional seed for parameters (appears in
194 * The following members are handled by the method functions, even if
195 * they appear generic
198 * Field specification. For curves over GF(p), this is the modulus; for
199 * curves over GF(2^m), this is the irreducible polynomial defining the
204 * Field specification for curves over GF(2^m). The irreducible f(t) is
205 * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
206 * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
207 * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
212 * Curve coefficients. (Here the assumption is that BIGNUMs can be used
213 * or abused for all kinds of fields, not just GF(p).) For characteristic
214 * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
215 * x^3 + a*x + b. For characteristic 2, the curve is defined by an
216 * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
219 /* enable optimized point arithmetics for special case */
221 /* method-specific (e.g., Montgomery structure) */
223 /* method-specific */
225 /* method-specific */
226 int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
228 /* data for ECDSA inverse */
229 BN_MONT_CTX *mont_data;
232 * Precomputed values for speed. The PCT_xxx names match the
233 * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
238 PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256,
242 NISTP224_PRE_COMP *nistp224;
243 NISTP256_PRE_COMP *nistp256;
244 NISTP521_PRE_COMP *nistp521;
245 NISTZ256_PRE_COMP *nistz256;
250 #define SETPRECOMP(g, type, pre) \
251 g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
252 #define HAVEPRECOMP(g, type) \
253 g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
256 const EC_KEY_METHOD *meth;
262 unsigned int enc_flag;
263 point_conversion_form_t conv_form;
266 CRYPTO_EX_DATA ex_data;
271 const EC_METHOD *meth;
273 * All members except 'meth' are handled by the method functions, even if
274 * they appear generic
278 BIGNUM *Z; /* Jacobian projective coordinates: * (X, Y,
279 * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
280 int Z_is_one; /* enable optimized point arithmetics for
284 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
285 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
286 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
287 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
288 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
289 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
291 void EC_pre_comp_free(EC_GROUP *group);
292 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
293 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
294 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
295 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
296 void EC_ec_pre_comp_free(EC_PRE_COMP *);
299 * method functions in ec_mult.c (ec_lib.c uses these as defaults if
300 * group->method->mul is 0)
302 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
303 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
305 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
306 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
308 /* method functions in ecp_smpl.c */
309 int ec_GFp_simple_group_init(EC_GROUP *);
310 void ec_GFp_simple_group_finish(EC_GROUP *);
311 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
312 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
313 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
314 const BIGNUM *a, const BIGNUM *b, BN_CTX *);
315 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
316 BIGNUM *b, BN_CTX *);
317 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
318 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
319 int ec_GFp_simple_point_init(EC_POINT *);
320 void ec_GFp_simple_point_finish(EC_POINT *);
321 void ec_GFp_simple_point_clear_finish(EC_POINT *);
322 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
323 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
324 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
325 EC_POINT *, const BIGNUM *x,
327 const BIGNUM *z, BN_CTX *);
328 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
329 const EC_POINT *, BIGNUM *x,
330 BIGNUM *y, BIGNUM *z,
332 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
334 const BIGNUM *y, BN_CTX *);
335 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
336 const EC_POINT *, BIGNUM *x,
337 BIGNUM *y, BN_CTX *);
338 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
339 const BIGNUM *x, int y_bit,
341 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
342 point_conversion_form_t form,
343 unsigned char *buf, size_t len, BN_CTX *);
344 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
345 const unsigned char *buf, size_t len, BN_CTX *);
346 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
347 const EC_POINT *b, BN_CTX *);
348 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
350 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
351 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
352 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
353 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
355 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
356 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
357 EC_POINT *[], BN_CTX *);
358 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
359 const BIGNUM *b, BN_CTX *);
360 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
363 /* method functions in ecp_mont.c */
364 int ec_GFp_mont_group_init(EC_GROUP *);
365 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
366 const BIGNUM *b, BN_CTX *);
367 void ec_GFp_mont_group_finish(EC_GROUP *);
368 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
369 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
370 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
371 const BIGNUM *b, BN_CTX *);
372 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
374 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
376 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
378 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
380 /* method functions in ecp_nist.c */
381 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
382 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
383 const BIGNUM *b, BN_CTX *);
384 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
385 const BIGNUM *b, BN_CTX *);
386 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
389 /* method functions in ec2_smpl.c */
390 int ec_GF2m_simple_group_init(EC_GROUP *);
391 void ec_GF2m_simple_group_finish(EC_GROUP *);
392 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
393 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
394 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
395 const BIGNUM *a, const BIGNUM *b,
397 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
398 BIGNUM *b, BN_CTX *);
399 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
400 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
401 int ec_GF2m_simple_point_init(EC_POINT *);
402 void ec_GF2m_simple_point_finish(EC_POINT *);
403 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
404 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
405 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
406 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
408 const BIGNUM *y, BN_CTX *);
409 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
410 const EC_POINT *, BIGNUM *x,
411 BIGNUM *y, BN_CTX *);
412 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
413 const BIGNUM *x, int y_bit,
415 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
416 point_conversion_form_t form,
417 unsigned char *buf, size_t len, BN_CTX *);
418 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
419 const unsigned char *buf, size_t len, BN_CTX *);
420 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
421 const EC_POINT *b, BN_CTX *);
422 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
424 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
425 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
426 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
427 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
429 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
430 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
431 EC_POINT *[], BN_CTX *);
432 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
433 const BIGNUM *b, BN_CTX *);
434 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
436 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
437 const BIGNUM *b, BN_CTX *);
439 /* method functions in ec2_mult.c */
440 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
441 const BIGNUM *scalar, size_t num,
442 const EC_POINT *points[], const BIGNUM *scalars[],
444 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
445 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
447 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
448 /* method functions in ecp_nistp224.c */
449 int ec_GFp_nistp224_group_init(EC_GROUP *group);
450 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
451 const BIGNUM *a, const BIGNUM *n,
453 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
454 const EC_POINT *point,
455 BIGNUM *x, BIGNUM *y,
457 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
458 const BIGNUM *scalar, size_t num,
459 const EC_POINT *points[], const BIGNUM *scalars[],
461 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
462 const BIGNUM *scalar, size_t num,
463 const EC_POINT *points[],
464 const BIGNUM *scalars[], BN_CTX *ctx);
465 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
466 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
468 /* method functions in ecp_nistp256.c */
469 int ec_GFp_nistp256_group_init(EC_GROUP *group);
470 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
471 const BIGNUM *a, const BIGNUM *n,
473 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
474 const EC_POINT *point,
475 BIGNUM *x, BIGNUM *y,
477 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
478 const BIGNUM *scalar, size_t num,
479 const EC_POINT *points[], const BIGNUM *scalars[],
481 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
482 const BIGNUM *scalar, size_t num,
483 const EC_POINT *points[],
484 const BIGNUM *scalars[], BN_CTX *ctx);
485 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
486 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
488 /* method functions in ecp_nistp521.c */
489 int ec_GFp_nistp521_group_init(EC_GROUP *group);
490 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
491 const BIGNUM *a, const BIGNUM *n,
493 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
494 const EC_POINT *point,
495 BIGNUM *x, BIGNUM *y,
497 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
498 const BIGNUM *scalar, size_t num,
499 const EC_POINT *points[], const BIGNUM *scalars[],
501 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
502 const BIGNUM *scalar, size_t num,
503 const EC_POINT *points[],
504 const BIGNUM *scalars[], BN_CTX *ctx);
505 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
506 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
508 /* utility functions in ecp_nistputil.c */
509 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
512 void (*felem_one) (void *out),
513 int (*felem_is_zero) (const void
515 void (*felem_assign) (void *out,
518 void (*felem_square) (void *out,
521 void (*felem_mul) (void *out,
526 void (*felem_inv) (void *out,
529 void (*felem_contract) (void
534 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
535 unsigned char *digit, unsigned char in);
537 int ec_precompute_mont_data(EC_GROUP *);
538 int ec_group_simple_order_bits(const EC_GROUP *group);
540 #ifdef ECP_NISTZ256_ASM
541 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
542 * P256. See http://eprint.iacr.org/2013/816.
543 * \return EC_METHOD object
545 const EC_METHOD *EC_GFp_nistz256_method(void);
548 size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
549 unsigned char *buf, size_t len);
550 int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
551 int ec_key_simple_generate_key(EC_KEY *eckey);
552 int ec_key_simple_generate_public_key(EC_KEY *eckey);
553 int ec_key_simple_check_key(const EC_KEY *eckey);
555 /* EC_METHOD definitions */
557 struct ec_key_method_st {
560 int (*init)(EC_KEY *key);
561 void (*finish)(EC_KEY *key);
562 int (*copy)(EC_KEY *dest, const EC_KEY *src);
563 int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
564 int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
565 int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
566 int (*keygen)(EC_KEY *key);
567 int (*compute_key)(unsigned char **pout, size_t *poutlen,
568 const EC_POINT *pub_key, const EC_KEY *ecdh);
569 int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
570 *sig, unsigned int *siglen, const BIGNUM *kinv,
571 const BIGNUM *r, EC_KEY *eckey);
572 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
574 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
575 const BIGNUM *in_kinv, const BIGNUM *in_r,
578 int (*verify)(int type, const unsigned char *dgst, int dgst_len,
579 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
580 int (*verify_sig)(const unsigned char *dgst, int dgst_len,
581 const ECDSA_SIG *sig, EC_KEY *eckey);
582 } /* EC_KEY_METHOD */ ;
584 #define EC_KEY_METHOD_DYNAMIC 1
586 int ossl_ec_key_gen(EC_KEY *eckey);
587 int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
588 const EC_POINT *pub_key, const EC_KEY *ecdh);
589 int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
590 const EC_POINT *pub_key, const EC_KEY *ecdh);
592 struct ECDSA_SIG_st {
597 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
599 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
600 unsigned char *sig, unsigned int *siglen,
601 const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
602 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
603 const BIGNUM *in_kinv, const BIGNUM *in_r,
605 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
606 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
607 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
608 const ECDSA_SIG *sig, EC_KEY *eckey);
610 int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
611 const uint8_t peer_public_value[32]);
612 void X25519_public_from_private(uint8_t out_public_value[32],
613 const uint8_t private_key[32]);