]>
Commit | Line | Data |
---|---|---|
35b73a1f | 1 | /* |
48e82c8e | 2 | * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved. |
aa8f3d76 | 3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
65e81670 | 4 | * |
aa6bb135 RS |
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 | |
65e81670 | 9 | */ |
aa6bb135 | 10 | |
3a12ce01 BM |
11 | #include <stdlib.h> |
12 | ||
458c2917 | 13 | #include <openssl/obj_mac.h> |
38e3c581 | 14 | #include <openssl/ec.h> |
0f814687 | 15 | #include <openssl/bn.h> |
2f545ae4 | 16 | #include "internal/refcount.h" |
0c994d54 | 17 | #include "crypto/ec.h" |
3a12ce01 | 18 | |
7f24b1c3 AP |
19 | #if defined(__SUNPRO_C) |
20 | # if __SUNPRO_C >= 0x520 | |
0f113f3e | 21 | # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) |
7f24b1c3 AP |
22 | # endif |
23 | #endif | |
3a12ce01 | 24 | |
84b08eee | 25 | /* Use default functions for poin2oct, oct2point and compressed coordinates */ |
0f113f3e | 26 | #define EC_FLAGS_DEFAULT_OCT 0x1 |
84b08eee | 27 | |
474d84ec DSH |
28 | /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */ |
29 | #define EC_FLAGS_CUSTOM_CURVE 0x2 | |
30 | ||
4b0555ec DSH |
31 | /* Curve does not support signing operations */ |
32 | #define EC_FLAGS_NO_SIGN 0x4 | |
33 | ||
0f113f3e MC |
34 | /* |
35 | * Structure details are not part of the exported interface, so all this may | |
36 | * change in future versions. | |
37 | */ | |
3a12ce01 BM |
38 | |
39 | struct ec_method_st { | |
0f113f3e MC |
40 | /* Various method flags */ |
41 | int flags; | |
42 | /* used by EC_METHOD_get_field_type: */ | |
43 | int field_type; /* a NID */ | |
44 | /* | |
45 | * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, | |
46 | * EC_GROUP_copy: | |
47 | */ | |
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 *); | |
9cc570d4 | 52 | /* used by EC_GROUP_set_curve, EC_GROUP_get_curve: */ |
0f113f3e MC |
53 | int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
54 | const BIGNUM *b, BN_CTX *); | |
55 | int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, | |
56 | BN_CTX *); | |
57 | /* used by EC_GROUP_get_degree: */ | |
58 | int (*group_get_degree) (const EC_GROUP *); | |
e5b2ea0a | 59 | int (*group_order_bits) (const EC_GROUP *); |
0f113f3e MC |
60 | /* used by EC_GROUP_check: */ |
61 | int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *); | |
62 | /* | |
63 | * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, | |
64 | * EC_POINT_copy: | |
65 | */ | |
66 | int (*point_init) (EC_POINT *); | |
67 | void (*point_finish) (EC_POINT *); | |
68 | void (*point_clear_finish) (EC_POINT *); | |
69 | int (*point_copy) (EC_POINT *, const EC_POINT *); | |
50e735f9 MC |
70 | /*- |
71 | * used by EC_POINT_set_to_infinity, | |
72 | * EC_POINT_set_Jprojective_coordinates_GFp, | |
73 | * EC_POINT_get_Jprojective_coordinates_GFp, | |
9cc570d4 MC |
74 | * EC_POINT_set_affine_coordinates, |
75 | * EC_POINT_get_affine_coordinates, | |
76 | * EC_POINT_set_compressed_coordinates: | |
50e735f9 | 77 | */ |
0f113f3e MC |
78 | int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *); |
79 | int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *, | |
80 | EC_POINT *, const BIGNUM *x, | |
81 | const BIGNUM *y, | |
82 | const BIGNUM *z, BN_CTX *); | |
83 | int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *, | |
84 | const EC_POINT *, BIGNUM *x, | |
85 | BIGNUM *y, BIGNUM *z, | |
86 | BN_CTX *); | |
87 | int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *, | |
88 | const BIGNUM *x, const BIGNUM *y, | |
89 | BN_CTX *); | |
90 | int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *, | |
91 | BIGNUM *x, BIGNUM *y, BN_CTX *); | |
92 | int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *, | |
93 | const BIGNUM *x, int y_bit, | |
94 | BN_CTX *); | |
95 | /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ | |
96 | size_t (*point2oct) (const EC_GROUP *, const EC_POINT *, | |
97 | point_conversion_form_t form, unsigned char *buf, | |
98 | size_t len, BN_CTX *); | |
99 | int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf, | |
100 | size_t len, BN_CTX *); | |
101 | /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ | |
102 | int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, | |
103 | const EC_POINT *b, BN_CTX *); | |
104 | int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); | |
105 | int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *); | |
106 | /* | |
107 | * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: | |
108 | */ | |
109 | int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *); | |
110 | int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *); | |
111 | int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, | |
112 | BN_CTX *); | |
113 | /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ | |
114 | int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *); | |
115 | int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[], | |
116 | BN_CTX *); | |
117 | /* | |
118 | * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, | |
119 | * EC_POINT_have_precompute_mult (default implementations are used if the | |
120 | * 'mul' pointer is 0): | |
121 | */ | |
fe2d3975 BB |
122 | /*- |
123 | * mul() calculates the value | |
124 | * | |
125 | * r := generator * scalar | |
126 | * + points[0] * scalars[0] | |
127 | * + ... | |
128 | * + points[num-1] * scalars[num-1]. | |
129 | * | |
130 | * For a fixed point multiplication (scalar != NULL, num == 0) | |
131 | * or a variable point multiplication (scalar == NULL, num == 1), | |
132 | * mul() must use a constant time algorithm: in both cases callers | |
133 | * should provide an input scalar (either scalar or scalars[0]) | |
134 | * in the range [0, ec_group_order); for robustness, implementers | |
135 | * should handle the case when the scalar has not been reduced, but | |
136 | * may treat it as an unusual input, without any constant-timeness | |
137 | * guarantee. | |
138 | */ | |
0f113f3e MC |
139 | int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, |
140 | size_t num, const EC_POINT *points[], const BIGNUM *scalars[], | |
141 | BN_CTX *); | |
142 | int (*precompute_mult) (EC_GROUP *group, BN_CTX *); | |
143 | int (*have_precompute_mult) (const EC_GROUP *group); | |
144 | /* internal functions */ | |
145 | /* | |
146 | * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and | |
147 | * 'dbl' so that the same implementations of point operations can be used | |
148 | * with different optimized implementations of expensive field | |
149 | * operations: | |
150 | */ | |
151 | int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
152 | const BIGNUM *b, BN_CTX *); | |
153 | int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); | |
154 | int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
155 | const BIGNUM *b, BN_CTX *); | |
48e82c8e | 156 | /*- |
a5c83db4 | 157 | * 'field_inv' computes the multiplicative inverse of a in the field, |
48e82c8e BB |
158 | * storing the result in r. |
159 | * | |
160 | * If 'a' is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error. | |
161 | */ | |
162 | int (*field_inv) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); | |
0f113f3e MC |
163 | /* e.g. to Montgomery */ |
164 | int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
165 | BN_CTX *); | |
166 | /* e.g. from Montgomery */ | |
167 | int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
168 | BN_CTX *); | |
169 | int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *); | |
474d84ec DSH |
170 | /* private key operations */ |
171 | size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len); | |
25d57dc7 | 172 | int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len); |
474d84ec DSH |
173 | int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key); |
174 | int (*keygen)(EC_KEY *eckey); | |
175 | int (*keycheck)(const EC_KEY *eckey); | |
176 | int (*keygenpub)(EC_KEY *eckey); | |
177 | int (*keycopy)(EC_KEY *dst, const EC_KEY *src); | |
178 | void (*keyfinish)(EC_KEY *eckey); | |
179 | /* custom ECDH operation */ | |
e2285d87 DSH |
180 | int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen, |
181 | const EC_POINT *pub_key, const EC_KEY *ecdh); | |
eb791696 | 182 | /* Inverse modulo order */ |
792546eb BB |
183 | int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r, |
184 | const BIGNUM *x, BN_CTX *); | |
f667820c | 185 | int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); |
37124360 NT |
186 | int (*ladder_pre)(const EC_GROUP *group, |
187 | EC_POINT *r, EC_POINT *s, | |
188 | EC_POINT *p, BN_CTX *ctx); | |
189 | int (*ladder_step)(const EC_GROUP *group, | |
190 | EC_POINT *r, EC_POINT *s, | |
191 | EC_POINT *p, BN_CTX *ctx); | |
192 | int (*ladder_post)(const EC_GROUP *group, | |
193 | EC_POINT *r, EC_POINT *s, | |
194 | EC_POINT *p, BN_CTX *ctx); | |
d196305a | 195 | }; |
3a12ce01 | 196 | |
3aef36ff RS |
197 | /* |
198 | * Types and functions to manipulate pre-computed values. | |
199 | */ | |
200 | typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP; | |
201 | typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP; | |
126d6864 | 202 | typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP; |
3aef36ff RS |
203 | typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP; |
204 | typedef struct ec_pre_comp_st EC_PRE_COMP; | |
3a12ce01 BM |
205 | |
206 | struct ec_group_st { | |
0f113f3e MC |
207 | const EC_METHOD *meth; |
208 | EC_POINT *generator; /* optional */ | |
209 | BIGNUM *order, *cofactor; | |
210 | int curve_name; /* optional NID for named curve */ | |
211 | int asn1_flag; /* flag to control the asn1 encoding */ | |
212 | point_conversion_form_t asn1_form; | |
213 | unsigned char *seed; /* optional seed for parameters (appears in | |
214 | * ASN1) */ | |
215 | size_t seed_len; | |
0f113f3e MC |
216 | /* |
217 | * The following members are handled by the method functions, even if | |
218 | * they appear generic | |
219 | */ | |
220 | /* | |
221 | * Field specification. For curves over GF(p), this is the modulus; for | |
222 | * curves over GF(2^m), this is the irreducible polynomial defining the | |
223 | * field. | |
224 | */ | |
225 | BIGNUM *field; | |
226 | /* | |
227 | * Field specification for curves over GF(2^m). The irreducible f(t) is | |
228 | * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m = | |
229 | * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with | |
230 | * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero | |
231 | * terms. | |
232 | */ | |
233 | int poly[6]; | |
234 | /* | |
235 | * Curve coefficients. (Here the assumption is that BIGNUMs can be used | |
236 | * or abused for all kinds of fields, not just GF(p).) For characteristic | |
237 | * > 3, the curve is defined by a Weierstrass equation of the form y^2 = | |
238 | * x^3 + a*x + b. For characteristic 2, the curve is defined by an | |
239 | * equation of the form y^2 + x*y = x^3 + a*x^2 + b. | |
240 | */ | |
241 | BIGNUM *a, *b; | |
242 | /* enable optimized point arithmetics for special case */ | |
243 | int a_is_minus3; | |
244 | /* method-specific (e.g., Montgomery structure) */ | |
245 | void *field_data1; | |
246 | /* method-specific */ | |
247 | void *field_data2; | |
248 | /* method-specific */ | |
249 | int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *, | |
250 | BN_CTX *); | |
251 | /* data for ECDSA inverse */ | |
252 | BN_MONT_CTX *mont_data; | |
3aef36ff | 253 | |
66117ab0 RS |
254 | /* |
255 | * Precomputed values for speed. The PCT_xxx names match the | |
256 | * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP | |
257 | * macros, below. | |
258 | */ | |
3aef36ff | 259 | enum { |
66117ab0 RS |
260 | PCT_none, |
261 | PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256, | |
262 | PCT_ec | |
263 | } pre_comp_type; | |
3aef36ff RS |
264 | union { |
265 | NISTP224_PRE_COMP *nistp224; | |
266 | NISTP256_PRE_COMP *nistp256; | |
267 | NISTP521_PRE_COMP *nistp521; | |
268 | NISTZ256_PRE_COMP *nistz256; | |
269 | EC_PRE_COMP *ec; | |
270 | } pre_comp; | |
d196305a | 271 | }; |
3a12ce01 | 272 | |
3aef36ff | 273 | #define SETPRECOMP(g, type, pre) \ |
66117ab0 | 274 | g->pre_comp_type = PCT_##type, g->pre_comp.type = pre |
3aef36ff | 275 | #define HAVEPRECOMP(g, type) \ |
66117ab0 | 276 | g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL |
3aef36ff | 277 | |
9dd84053 | 278 | struct ec_key_st { |
28572b57 DSH |
279 | const EC_KEY_METHOD *meth; |
280 | ENGINE *engine; | |
0f113f3e MC |
281 | int version; |
282 | EC_GROUP *group; | |
283 | EC_POINT *pub_key; | |
284 | BIGNUM *priv_key; | |
285 | unsigned int enc_flag; | |
286 | point_conversion_form_t conv_form; | |
2f545ae4 | 287 | CRYPTO_REF_COUNT references; |
0f113f3e | 288 | int flags; |
3aef36ff | 289 | CRYPTO_EX_DATA ex_data; |
9b398ef2 | 290 | CRYPTO_RWLOCK *lock; |
d196305a | 291 | }; |
9dd84053 | 292 | |
3a12ce01 | 293 | struct ec_point_st { |
0f113f3e | 294 | const EC_METHOD *meth; |
b14e6015 MC |
295 | /* NID for the curve if known */ |
296 | int curve_name; | |
0f113f3e MC |
297 | /* |
298 | * All members except 'meth' are handled by the method functions, even if | |
299 | * they appear generic | |
300 | */ | |
301 | BIGNUM *X; | |
302 | BIGNUM *Y; | |
303 | BIGNUM *Z; /* Jacobian projective coordinates: * (X, Y, | |
304 | * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ | |
305 | int Z_is_one; /* enable optimized point arithmetics for | |
306 | * special case */ | |
d196305a | 307 | }; |
58fc6229 | 308 | |
b14e6015 MC |
309 | static ossl_inline int ec_point_is_compat(const EC_POINT *point, |
310 | const EC_GROUP *group) | |
311 | { | |
312 | if (group->meth != point->meth | |
313 | || (group->curve_name != 0 | |
314 | && point->curve_name != 0 | |
315 | && group->curve_name != point->curve_name)) | |
316 | return 0; | |
317 | ||
318 | return 1; | |
319 | } | |
320 | ||
3aef36ff RS |
321 | NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *); |
322 | NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *); | |
323 | NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *); | |
324 | NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *); | |
325 | NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *); | |
326 | EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *); | |
2c52ac9b RS |
327 | |
328 | void EC_pre_comp_free(EC_GROUP *group); | |
3aef36ff RS |
329 | void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *); |
330 | void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *); | |
331 | void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *); | |
332 | void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *); | |
333 | void EC_ec_pre_comp_free(EC_PRE_COMP *); | |
334 | ||
0f113f3e MC |
335 | /* |
336 | * method functions in ec_mult.c (ec_lib.c uses these as defaults if | |
337 | * group->method->mul is 0) | |
338 | */ | |
7793f30e | 339 | int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, |
0f113f3e MC |
340 | size_t num, const EC_POINT *points[], const BIGNUM *scalars[], |
341 | BN_CTX *); | |
7793f30e | 342 | int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); |
37c660ff BM |
343 | int ec_wNAF_have_precompute_mult(const EC_GROUP *group); |
344 | ||
58fc6229 BM |
345 | /* method functions in ecp_smpl.c */ |
346 | int ec_GFp_simple_group_init(EC_GROUP *); | |
58fc6229 BM |
347 | void ec_GFp_simple_group_finish(EC_GROUP *); |
348 | void ec_GFp_simple_group_clear_finish(EC_GROUP *); | |
349 | int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); | |
0f113f3e MC |
350 | int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, |
351 | const BIGNUM *a, const BIGNUM *b, BN_CTX *); | |
352 | int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, | |
353 | BIGNUM *b, BN_CTX *); | |
7793f30e | 354 | int ec_GFp_simple_group_get_degree(const EC_GROUP *); |
17d6bb81 | 355 | int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); |
58fc6229 BM |
356 | int ec_GFp_simple_point_init(EC_POINT *); |
357 | void ec_GFp_simple_point_finish(EC_POINT *); | |
358 | void ec_GFp_simple_point_clear_finish(EC_POINT *); | |
359 | int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); | |
226cc7de | 360 | int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); |
0f113f3e MC |
361 | int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, |
362 | EC_POINT *, const BIGNUM *x, | |
363 | const BIGNUM *y, | |
364 | const BIGNUM *z, BN_CTX *); | |
365 | int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, | |
366 | const EC_POINT *, BIGNUM *x, | |
367 | BIGNUM *y, BIGNUM *z, | |
368 | BN_CTX *); | |
35b73a1f | 369 | int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
370 | const BIGNUM *x, |
371 | const BIGNUM *y, BN_CTX *); | |
372 | int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, | |
373 | const EC_POINT *, BIGNUM *x, | |
374 | BIGNUM *y, BN_CTX *); | |
35b73a1f | 375 | int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
376 | const BIGNUM *x, int y_bit, |
377 | BN_CTX *); | |
378 | size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, | |
379 | point_conversion_form_t form, | |
380 | unsigned char *buf, size_t len, BN_CTX *); | |
58fc6229 | 381 | int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
382 | const unsigned char *buf, size_t len, BN_CTX *); |
383 | int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, | |
384 | const EC_POINT *b, BN_CTX *); | |
385 | int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, | |
386 | BN_CTX *); | |
1d5bd6cf | 387 | int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); |
58fc6229 BM |
388 | int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); |
389 | int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); | |
0f113f3e MC |
390 | int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, |
391 | BN_CTX *); | |
e869d4bd | 392 | int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); |
0f113f3e MC |
393 | int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, |
394 | EC_POINT *[], BN_CTX *); | |
395 | int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
396 | const BIGNUM *b, BN_CTX *); | |
397 | int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
398 | BN_CTX *); | |
48e82c8e BB |
399 | int ec_GFp_simple_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
400 | BN_CTX *); | |
f667820c | 401 | int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p, |
9d91530d BB |
402 | BN_CTX *ctx); |
403 | int ec_GFp_simple_ladder_pre(const EC_GROUP *group, | |
404 | EC_POINT *r, EC_POINT *s, | |
405 | EC_POINT *p, BN_CTX *ctx); | |
406 | int ec_GFp_simple_ladder_step(const EC_GROUP *group, | |
407 | EC_POINT *r, EC_POINT *s, | |
408 | EC_POINT *p, BN_CTX *ctx); | |
409 | int ec_GFp_simple_ladder_post(const EC_GROUP *group, | |
410 | EC_POINT *r, EC_POINT *s, | |
411 | EC_POINT *p, BN_CTX *ctx); | |
58fc6229 BM |
412 | |
413 | /* method functions in ecp_mont.c */ | |
f1f25544 | 414 | int ec_GFp_mont_group_init(EC_GROUP *); |
0f113f3e MC |
415 | int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
416 | const BIGNUM *b, BN_CTX *); | |
2e0db076 BM |
417 | void ec_GFp_mont_group_finish(EC_GROUP *); |
418 | void ec_GFp_mont_group_clear_finish(EC_GROUP *); | |
60428dbf | 419 | int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); |
0f113f3e MC |
420 | int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
421 | const BIGNUM *b, BN_CTX *); | |
422 | int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
423 | BN_CTX *); | |
48e82c8e BB |
424 | int ec_GFp_mont_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
425 | BN_CTX *); | |
0f113f3e MC |
426 | int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, |
427 | BN_CTX *); | |
428 | int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
429 | BN_CTX *); | |
48fe4d62 | 430 | int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); |
58fc6229 | 431 | |
58fc6229 | 432 | /* method functions in ecp_nist.c */ |
e2c9c91b | 433 | int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); |
0f113f3e MC |
434 | int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, |
435 | const BIGNUM *b, BN_CTX *); | |
436 | int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
437 | const BIGNUM *b, BN_CTX *); | |
438 | int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
439 | BN_CTX *); | |
7793f30e BM |
440 | |
441 | /* method functions in ec2_smpl.c */ | |
442 | int ec_GF2m_simple_group_init(EC_GROUP *); | |
443 | void ec_GF2m_simple_group_finish(EC_GROUP *); | |
444 | void ec_GF2m_simple_group_clear_finish(EC_GROUP *); | |
445 | int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); | |
0f113f3e MC |
446 | int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, |
447 | const BIGNUM *a, const BIGNUM *b, | |
448 | BN_CTX *); | |
449 | int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, | |
450 | BIGNUM *b, BN_CTX *); | |
7793f30e BM |
451 | int ec_GF2m_simple_group_get_degree(const EC_GROUP *); |
452 | int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); | |
453 | int ec_GF2m_simple_point_init(EC_POINT *); | |
454 | void ec_GF2m_simple_point_finish(EC_POINT *); | |
455 | void ec_GF2m_simple_point_clear_finish(EC_POINT *); | |
456 | int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); | |
457 | int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); | |
35b73a1f | 458 | int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
459 | const BIGNUM *x, |
460 | const BIGNUM *y, BN_CTX *); | |
461 | int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, | |
462 | const EC_POINT *, BIGNUM *x, | |
463 | BIGNUM *y, BN_CTX *); | |
35b73a1f | 464 | int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
465 | const BIGNUM *x, int y_bit, |
466 | BN_CTX *); | |
467 | size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, | |
468 | point_conversion_form_t form, | |
469 | unsigned char *buf, size_t len, BN_CTX *); | |
7793f30e | 470 | int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, |
0f113f3e MC |
471 | const unsigned char *buf, size_t len, BN_CTX *); |
472 | int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, | |
473 | const EC_POINT *b, BN_CTX *); | |
474 | int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, | |
475 | BN_CTX *); | |
7793f30e BM |
476 | int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); |
477 | int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); | |
478 | int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); | |
0f113f3e MC |
479 | int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, |
480 | BN_CTX *); | |
7793f30e | 481 | int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); |
0f113f3e MC |
482 | int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, |
483 | EC_POINT *[], BN_CTX *); | |
484 | int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
485 | const BIGNUM *b, BN_CTX *); | |
486 | int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
487 | BN_CTX *); | |
488 | int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, | |
489 | const BIGNUM *b, BN_CTX *); | |
7793f30e | 490 | |
8e323164 | 491 | #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
04daec86 BM |
492 | /* method functions in ecp_nistp224.c */ |
493 | int ec_GFp_nistp224_group_init(EC_GROUP *group); | |
0f113f3e MC |
494 | int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
495 | const BIGNUM *a, const BIGNUM *n, | |
496 | BN_CTX *); | |
497 | int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, | |
498 | const EC_POINT *point, | |
499 | BIGNUM *x, BIGNUM *y, | |
500 | BN_CTX *ctx); | |
501 | int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r, | |
502 | const BIGNUM *scalar, size_t num, | |
503 | const EC_POINT *points[], const BIGNUM *scalars[], | |
504 | BN_CTX *); | |
505 | int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, | |
506 | const BIGNUM *scalar, size_t num, | |
507 | const EC_POINT *points[], | |
508 | const BIGNUM *scalars[], BN_CTX *ctx); | |
04daec86 BM |
509 | int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
510 | int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); | |
3e00b4c9 BM |
511 | |
512 | /* method functions in ecp_nistp256.c */ | |
513 | int ec_GFp_nistp256_group_init(EC_GROUP *group); | |
0f113f3e MC |
514 | int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
515 | const BIGNUM *a, const BIGNUM *n, | |
516 | BN_CTX *); | |
517 | int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, | |
518 | const EC_POINT *point, | |
519 | BIGNUM *x, BIGNUM *y, | |
520 | BN_CTX *ctx); | |
521 | int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r, | |
522 | const BIGNUM *scalar, size_t num, | |
523 | const EC_POINT *points[], const BIGNUM *scalars[], | |
524 | BN_CTX *); | |
525 | int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, | |
526 | const BIGNUM *scalar, size_t num, | |
527 | const EC_POINT *points[], | |
528 | const BIGNUM *scalars[], BN_CTX *ctx); | |
3e00b4c9 BM |
529 | int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
530 | int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); | |
531 | ||
532 | /* method functions in ecp_nistp521.c */ | |
533 | int ec_GFp_nistp521_group_init(EC_GROUP *group); | |
0f113f3e MC |
534 | int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, |
535 | const BIGNUM *a, const BIGNUM *n, | |
536 | BN_CTX *); | |
537 | int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, | |
538 | const EC_POINT *point, | |
539 | BIGNUM *x, BIGNUM *y, | |
540 | BN_CTX *ctx); | |
541 | int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r, | |
542 | const BIGNUM *scalar, size_t num, | |
543 | const EC_POINT *points[], const BIGNUM *scalars[], | |
544 | BN_CTX *); | |
545 | int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, | |
546 | const BIGNUM *scalar, size_t num, | |
547 | const EC_POINT *points[], | |
548 | const BIGNUM *scalars[], BN_CTX *ctx); | |
3e00b4c9 BM |
549 | int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
550 | int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); | |
551 | ||
552 | /* utility functions in ecp_nistputil.c */ | |
553 | void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, | |
0f113f3e MC |
554 | size_t felem_size, |
555 | void *tmp_felems, | |
556 | void (*felem_one) (void *out), | |
557 | int (*felem_is_zero) (const void | |
558 | *in), | |
559 | void (*felem_assign) (void *out, | |
560 | const void | |
561 | *in), | |
562 | void (*felem_square) (void *out, | |
563 | const void | |
564 | *in), | |
565 | void (*felem_mul) (void *out, | |
566 | const void | |
567 | *in1, | |
568 | const void | |
569 | *in2), | |
570 | void (*felem_inv) (void *out, | |
571 | const void | |
572 | *in), | |
573 | void (*felem_contract) (void | |
574 | *out, | |
575 | const | |
576 | void | |
577 | *in)); | |
578 | void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, | |
579 | unsigned char *digit, unsigned char in); | |
04daec86 | 580 | #endif |
77470e98 | 581 | int ec_group_simple_order_bits(const EC_GROUP *group); |
f54be179 AP |
582 | |
583 | #ifdef ECP_NISTZ256_ASM | |
584 | /** Returns GFp methods using montgomery multiplication, with x86-64 optimized | |
585 | * P256. See http://eprint.iacr.org/2013/816. | |
586 | * \return EC_METHOD object | |
587 | */ | |
588 | const EC_METHOD *EC_GFp_nistz256_method(void); | |
589 | #endif | |
28572b57 | 590 | |
77470e98 DSH |
591 | size_t ec_key_simple_priv2oct(const EC_KEY *eckey, |
592 | unsigned char *buf, size_t len); | |
25d57dc7 | 593 | int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len); |
77470e98 DSH |
594 | int ec_key_simple_generate_key(EC_KEY *eckey); |
595 | int ec_key_simple_generate_public_key(EC_KEY *eckey); | |
596 | int ec_key_simple_check_key(const EC_KEY *eckey); | |
597 | ||
9a43a733 NT |
598 | int ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx); |
599 | ||
28572b57 DSH |
600 | /* EC_METHOD definitions */ |
601 | ||
602 | struct ec_key_method_st { | |
603 | const char *name; | |
604 | int32_t flags; | |
0d6ff6d3 DSH |
605 | int (*init)(EC_KEY *key); |
606 | void (*finish)(EC_KEY *key); | |
ea0392b9 | 607 | int (*copy)(EC_KEY *dest, const EC_KEY *src); |
3475bc96 DSH |
608 | int (*set_group)(EC_KEY *key, const EC_GROUP *grp); |
609 | int (*set_private)(EC_KEY *key, const BIGNUM *priv_key); | |
610 | int (*set_public)(EC_KEY *key, const EC_POINT *pub_key); | |
5a6a1029 | 611 | int (*keygen)(EC_KEY *key); |
e2285d87 DSH |
612 | int (*compute_key)(unsigned char **pout, size_t *poutlen, |
613 | const EC_POINT *pub_key, const EC_KEY *ecdh); | |
a200a817 DSH |
614 | int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char |
615 | *sig, unsigned int *siglen, const BIGNUM *kinv, | |
616 | const BIGNUM *r, EC_KEY *eckey); | |
c0efda00 DSH |
617 | int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, |
618 | BIGNUM **rp); | |
619 | ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len, | |
620 | const BIGNUM *in_kinv, const BIGNUM *in_r, | |
621 | EC_KEY *eckey); | |
a200a817 DSH |
622 | |
623 | int (*verify)(int type, const unsigned char *dgst, int dgst_len, | |
624 | const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); | |
c0efda00 DSH |
625 | int (*verify_sig)(const unsigned char *dgst, int dgst_len, |
626 | const ECDSA_SIG *sig, EC_KEY *eckey); | |
d196305a | 627 | }; |
28572b57 DSH |
628 | |
629 | #define EC_KEY_METHOD_DYNAMIC 1 | |
5a6a1029 DSH |
630 | |
631 | int ossl_ec_key_gen(EC_KEY *eckey); | |
e2285d87 DSH |
632 | int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen, |
633 | const EC_POINT *pub_key, const EC_KEY *ecdh); | |
634 | int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen, | |
635 | const EC_POINT *pub_key, const EC_KEY *ecdh); | |
714b2abb DSH |
636 | |
637 | struct ECDSA_SIG_st { | |
638 | BIGNUM *r; | |
639 | BIGNUM *s; | |
640 | }; | |
c0efda00 DSH |
641 | |
642 | int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, | |
643 | BIGNUM **rp); | |
a200a817 DSH |
644 | int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen, |
645 | unsigned char *sig, unsigned int *siglen, | |
646 | const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey); | |
c0efda00 DSH |
647 | ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len, |
648 | const BIGNUM *in_kinv, const BIGNUM *in_r, | |
649 | EC_KEY *eckey); | |
a200a817 DSH |
650 | int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, |
651 | const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); | |
c0efda00 DSH |
652 | int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, |
653 | const ECDSA_SIG *sig, EC_KEY *eckey); | |
8dcfdbf5 | 654 | |
06c6d05f | 655 | int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len, |
d4d001df | 656 | const uint8_t public_key[32], const uint8_t private_key[32]); |
06c6d05f DSH |
657 | int ED25519_verify(const uint8_t *message, size_t message_len, |
658 | const uint8_t signature[64], const uint8_t public_key[32]); | |
d4d001df DSH |
659 | void ED25519_public_from_private(uint8_t out_public_key[32], |
660 | const uint8_t private_key[32]); | |
06c6d05f | 661 | |
8dcfdbf5 DSH |
662 | int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32], |
663 | const uint8_t peer_public_value[32]); | |
664 | void X25519_public_from_private(uint8_t out_public_value[32], | |
665 | const uint8_t private_key[32]); | |
eb791696 | 666 | |
01ad66f8 NT |
667 | /*- |
668 | * This functions computes a single point multiplication over the EC group, | |
669 | * using, at a high level, a Montgomery ladder with conditional swaps, with | |
670 | * various timing attack defenses. | |
671 | * | |
672 | * It performs either a fixed point multiplication | |
673 | * (scalar * generator) | |
674 | * when point is NULL, or a variable point multiplication | |
675 | * (scalar * point) | |
676 | * when point is not NULL. | |
677 | * | |
678 | * `scalar` cannot be NULL and should be in the range [0,n) otherwise all | |
679 | * constant time bets are off (where n is the cardinality of the EC group). | |
680 | * | |
681 | * This function expects `group->order` and `group->cardinality` to be well | |
682 | * defined and non-zero: it fails with an error code otherwise. | |
683 | * | |
684 | * NB: This says nothing about the constant-timeness of the ladder step | |
685 | * implementation (i.e., the default implementation is based on EC_POINT_add and | |
686 | * EC_POINT_dbl, which of course are not constant time themselves) or the | |
687 | * underlying multiprecision arithmetic. | |
688 | * | |
689 | * The product is stored in `r`. | |
690 | * | |
691 | * This is an internal function: callers are in charge of ensuring that the | |
692 | * input parameters `group`, `r`, `scalar` and `ctx` are not NULL. | |
693 | * | |
694 | * Returns 1 on success, 0 otherwise. | |
695 | */ | |
696 | int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r, | |
697 | const BIGNUM *scalar, const EC_POINT *point, | |
698 | BN_CTX *ctx); | |
699 | ||
f667820c | 700 | int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); |
37124360 | 701 | |
756c91b1 AP |
702 | static ossl_inline int ec_point_ladder_pre(const EC_GROUP *group, |
703 | EC_POINT *r, EC_POINT *s, | |
704 | EC_POINT *p, BN_CTX *ctx) | |
37124360 NT |
705 | { |
706 | if (group->meth->ladder_pre != NULL) | |
707 | return group->meth->ladder_pre(group, r, s, p, ctx); | |
708 | ||
709 | if (!EC_POINT_copy(s, p) | |
710 | || !EC_POINT_dbl(group, r, s, ctx)) | |
711 | return 0; | |
712 | ||
713 | return 1; | |
714 | } | |
715 | ||
756c91b1 AP |
716 | static ossl_inline int ec_point_ladder_step(const EC_GROUP *group, |
717 | EC_POINT *r, EC_POINT *s, | |
718 | EC_POINT *p, BN_CTX *ctx) | |
37124360 NT |
719 | { |
720 | if (group->meth->ladder_step != NULL) | |
721 | return group->meth->ladder_step(group, r, s, p, ctx); | |
722 | ||
723 | if (!EC_POINT_add(group, s, r, s, ctx) | |
724 | || !EC_POINT_dbl(group, r, r, ctx)) | |
725 | return 0; | |
726 | ||
727 | return 1; | |
728 | ||
729 | } | |
730 | ||
756c91b1 AP |
731 | static ossl_inline int ec_point_ladder_post(const EC_GROUP *group, |
732 | EC_POINT *r, EC_POINT *s, | |
733 | EC_POINT *p, BN_CTX *ctx) | |
37124360 NT |
734 | { |
735 | if (group->meth->ladder_post != NULL) | |
736 | return group->meth->ladder_post(group, r, s, p, ctx); | |
737 | ||
738 | return 1; | |
739 | } |