/src/openssl/crypto/ec/ecp_oct.c
Line | Count | Source (jump to first uncovered line) |
1 | | /* |
2 | | * Copyright 2011-2016 The OpenSSL Project Authors. All Rights Reserved. |
3 | | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
4 | | * |
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 |
9 | | */ |
10 | | |
11 | | #include <openssl/err.h> |
12 | | #include <openssl/symhacks.h> |
13 | | |
14 | | #include "ec_lcl.h" |
15 | | |
16 | | int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, |
17 | | EC_POINT *point, |
18 | | const BIGNUM *x_, int y_bit, |
19 | | BN_CTX *ctx) |
20 | 0 | { |
21 | 0 | BN_CTX *new_ctx = NULL; |
22 | 0 | BIGNUM *tmp1, *tmp2, *x, *y; |
23 | 0 | int ret = 0; |
24 | 0 |
|
25 | 0 | /* clear error queue */ |
26 | 0 | ERR_clear_error(); |
27 | 0 |
|
28 | 0 | if (ctx == NULL) { |
29 | 0 | ctx = new_ctx = BN_CTX_new(); |
30 | 0 | if (ctx == NULL) |
31 | 0 | return 0; |
32 | 0 | } |
33 | 0 | |
34 | 0 | y_bit = (y_bit != 0); |
35 | 0 |
|
36 | 0 | BN_CTX_start(ctx); |
37 | 0 | tmp1 = BN_CTX_get(ctx); |
38 | 0 | tmp2 = BN_CTX_get(ctx); |
39 | 0 | x = BN_CTX_get(ctx); |
40 | 0 | y = BN_CTX_get(ctx); |
41 | 0 | if (y == NULL) |
42 | 0 | goto err; |
43 | 0 | |
44 | 0 | /*- |
45 | 0 | * Recover y. We have a Weierstrass equation |
46 | 0 | * y^2 = x^3 + a*x + b, |
47 | 0 | * so y is one of the square roots of x^3 + a*x + b. |
48 | 0 | */ |
49 | 0 | |
50 | 0 | /* tmp1 := x^3 */ |
51 | 0 | if (!BN_nnmod(x, x_, group->field, ctx)) |
52 | 0 | goto err; |
53 | 0 | if (group->meth->field_decode == 0) { |
54 | 0 | /* field_{sqr,mul} work on standard representation */ |
55 | 0 | if (!group->meth->field_sqr(group, tmp2, x_, ctx)) |
56 | 0 | goto err; |
57 | 0 | if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) |
58 | 0 | goto err; |
59 | 0 | } else { |
60 | 0 | if (!BN_mod_sqr(tmp2, x_, group->field, ctx)) |
61 | 0 | goto err; |
62 | 0 | if (!BN_mod_mul(tmp1, tmp2, x_, group->field, ctx)) |
63 | 0 | goto err; |
64 | 0 | } |
65 | 0 | |
66 | 0 | /* tmp1 := tmp1 + a*x */ |
67 | 0 | if (group->a_is_minus3) { |
68 | 0 | if (!BN_mod_lshift1_quick(tmp2, x, group->field)) |
69 | 0 | goto err; |
70 | 0 | if (!BN_mod_add_quick(tmp2, tmp2, x, group->field)) |
71 | 0 | goto err; |
72 | 0 | if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, group->field)) |
73 | 0 | goto err; |
74 | 0 | } else { |
75 | 0 | if (group->meth->field_decode) { |
76 | 0 | if (!group->meth->field_decode(group, tmp2, group->a, ctx)) |
77 | 0 | goto err; |
78 | 0 | if (!BN_mod_mul(tmp2, tmp2, x, group->field, ctx)) |
79 | 0 | goto err; |
80 | 0 | } else { |
81 | 0 | /* field_mul works on standard representation */ |
82 | 0 | if (!group->meth->field_mul(group, tmp2, group->a, x, ctx)) |
83 | 0 | goto err; |
84 | 0 | } |
85 | 0 | |
86 | 0 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field)) |
87 | 0 | goto err; |
88 | 0 | } |
89 | 0 | |
90 | 0 | /* tmp1 := tmp1 + b */ |
91 | 0 | if (group->meth->field_decode) { |
92 | 0 | if (!group->meth->field_decode(group, tmp2, group->b, ctx)) |
93 | 0 | goto err; |
94 | 0 | if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field)) |
95 | 0 | goto err; |
96 | 0 | } else { |
97 | 0 | if (!BN_mod_add_quick(tmp1, tmp1, group->b, group->field)) |
98 | 0 | goto err; |
99 | 0 | } |
100 | 0 | |
101 | 0 | if (!BN_mod_sqrt(y, tmp1, group->field, ctx)) { |
102 | 0 | unsigned long err = ERR_peek_last_error(); |
103 | 0 |
|
104 | 0 | if (ERR_GET_LIB(err) == ERR_LIB_BN |
105 | 0 | && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) { |
106 | 0 | ERR_clear_error(); |
107 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
108 | 0 | EC_R_INVALID_COMPRESSED_POINT); |
109 | 0 | } else |
110 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
111 | 0 | ERR_R_BN_LIB); |
112 | 0 | goto err; |
113 | 0 | } |
114 | 0 |
|
115 | 0 | if (y_bit != BN_is_odd(y)) { |
116 | 0 | if (BN_is_zero(y)) { |
117 | 0 | int kron; |
118 | 0 |
|
119 | 0 | kron = BN_kronecker(x, group->field, ctx); |
120 | 0 | if (kron == -2) |
121 | 0 | goto err; |
122 | 0 | |
123 | 0 | if (kron == 1) |
124 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
125 | 0 | EC_R_INVALID_COMPRESSION_BIT); |
126 | 0 | else |
127 | 0 | /* |
128 | 0 | * BN_mod_sqrt() should have caught this error (not a square) |
129 | 0 | */ |
130 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
131 | 0 | EC_R_INVALID_COMPRESSED_POINT); |
132 | 0 | goto err; |
133 | 0 | } |
134 | 0 | if (!BN_usub(y, group->field, y)) |
135 | 0 | goto err; |
136 | 0 | } |
137 | 0 | if (y_bit != BN_is_odd(y)) { |
138 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, |
139 | 0 | ERR_R_INTERNAL_ERROR); |
140 | 0 | goto err; |
141 | 0 | } |
142 | 0 |
|
143 | 0 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
144 | 0 | goto err; |
145 | 0 | |
146 | 0 | ret = 1; |
147 | 0 |
|
148 | 0 | err: |
149 | 0 | BN_CTX_end(ctx); |
150 | 0 | BN_CTX_free(new_ctx); |
151 | 0 | return ret; |
152 | 0 | } |
153 | | |
154 | | size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, |
155 | | point_conversion_form_t form, |
156 | | unsigned char *buf, size_t len, BN_CTX *ctx) |
157 | 0 | { |
158 | 0 | size_t ret; |
159 | 0 | BN_CTX *new_ctx = NULL; |
160 | 0 | int used_ctx = 0; |
161 | 0 | BIGNUM *x, *y; |
162 | 0 | size_t field_len, i, skip; |
163 | 0 |
|
164 | 0 | if ((form != POINT_CONVERSION_COMPRESSED) |
165 | 0 | && (form != POINT_CONVERSION_UNCOMPRESSED) |
166 | 0 | && (form != POINT_CONVERSION_HYBRID)) { |
167 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); |
168 | 0 | goto err; |
169 | 0 | } |
170 | 0 |
|
171 | 0 | if (EC_POINT_is_at_infinity(group, point)) { |
172 | 0 | /* encodes to a single 0 octet */ |
173 | 0 | if (buf != NULL) { |
174 | 0 | if (len < 1) { |
175 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
176 | 0 | return 0; |
177 | 0 | } |
178 | 0 | buf[0] = 0; |
179 | 0 | } |
180 | 0 | return 1; |
181 | 0 | } |
182 | 0 | |
183 | 0 | /* ret := required output buffer length */ |
184 | 0 | field_len = BN_num_bytes(group->field); |
185 | 0 | ret = |
186 | 0 | (form == |
187 | 0 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; |
188 | 0 |
|
189 | 0 | /* if 'buf' is NULL, just return required length */ |
190 | 0 | if (buf != NULL) { |
191 | 0 | if (len < ret) { |
192 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
193 | 0 | goto err; |
194 | 0 | } |
195 | 0 |
|
196 | 0 | if (ctx == NULL) { |
197 | 0 | ctx = new_ctx = BN_CTX_new(); |
198 | 0 | if (ctx == NULL) |
199 | 0 | return 0; |
200 | 0 | } |
201 | 0 | |
202 | 0 | BN_CTX_start(ctx); |
203 | 0 | used_ctx = 1; |
204 | 0 | x = BN_CTX_get(ctx); |
205 | 0 | y = BN_CTX_get(ctx); |
206 | 0 | if (y == NULL) |
207 | 0 | goto err; |
208 | 0 | |
209 | 0 | if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx)) |
210 | 0 | goto err; |
211 | 0 | |
212 | 0 | if ((form == POINT_CONVERSION_COMPRESSED |
213 | 0 | || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y)) |
214 | 0 | buf[0] = form + 1; |
215 | 0 | else |
216 | 0 | buf[0] = form; |
217 | 0 |
|
218 | 0 | i = 1; |
219 | 0 |
|
220 | 0 | skip = field_len - BN_num_bytes(x); |
221 | 0 | if (skip > field_len) { |
222 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
223 | 0 | goto err; |
224 | 0 | } |
225 | 0 | while (skip > 0) { |
226 | 0 | buf[i++] = 0; |
227 | 0 | skip--; |
228 | 0 | } |
229 | 0 | skip = BN_bn2bin(x, buf + i); |
230 | 0 | i += skip; |
231 | 0 | if (i != 1 + field_len) { |
232 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
233 | 0 | goto err; |
234 | 0 | } |
235 | 0 |
|
236 | 0 | if (form == POINT_CONVERSION_UNCOMPRESSED |
237 | 0 | || form == POINT_CONVERSION_HYBRID) { |
238 | 0 | skip = field_len - BN_num_bytes(y); |
239 | 0 | if (skip > field_len) { |
240 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
241 | 0 | goto err; |
242 | 0 | } |
243 | 0 | while (skip > 0) { |
244 | 0 | buf[i++] = 0; |
245 | 0 | skip--; |
246 | 0 | } |
247 | 0 | skip = BN_bn2bin(y, buf + i); |
248 | 0 | i += skip; |
249 | 0 | } |
250 | 0 |
|
251 | 0 | if (i != ret) { |
252 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
253 | 0 | goto err; |
254 | 0 | } |
255 | 0 | } |
256 | 0 |
|
257 | 0 | if (used_ctx) |
258 | 0 | BN_CTX_end(ctx); |
259 | 0 | BN_CTX_free(new_ctx); |
260 | 0 | return ret; |
261 | 0 |
|
262 | 0 | err: |
263 | 0 | if (used_ctx) |
264 | 0 | BN_CTX_end(ctx); |
265 | 0 | BN_CTX_free(new_ctx); |
266 | 0 | return 0; |
267 | 0 | } |
268 | | |
269 | | int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point, |
270 | | const unsigned char *buf, size_t len, BN_CTX *ctx) |
271 | 0 | { |
272 | 0 | point_conversion_form_t form; |
273 | 0 | int y_bit; |
274 | 0 | BN_CTX *new_ctx = NULL; |
275 | 0 | BIGNUM *x, *y; |
276 | 0 | size_t field_len, enc_len; |
277 | 0 | int ret = 0; |
278 | 0 |
|
279 | 0 | if (len == 0) { |
280 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); |
281 | 0 | return 0; |
282 | 0 | } |
283 | 0 | form = buf[0]; |
284 | 0 | y_bit = form & 1; |
285 | 0 | form = form & ~1U; |
286 | 0 | if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) |
287 | 0 | && (form != POINT_CONVERSION_UNCOMPRESSED) |
288 | 0 | && (form != POINT_CONVERSION_HYBRID)) { |
289 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
290 | 0 | return 0; |
291 | 0 | } |
292 | 0 | if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { |
293 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
294 | 0 | return 0; |
295 | 0 | } |
296 | 0 |
|
297 | 0 | if (form == 0) { |
298 | 0 | if (len != 1) { |
299 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
300 | 0 | return 0; |
301 | 0 | } |
302 | 0 |
|
303 | 0 | return EC_POINT_set_to_infinity(group, point); |
304 | 0 | } |
305 | 0 | |
306 | 0 | field_len = BN_num_bytes(group->field); |
307 | 0 | enc_len = |
308 | 0 | (form == |
309 | 0 | POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; |
310 | 0 |
|
311 | 0 | if (len != enc_len) { |
312 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
313 | 0 | return 0; |
314 | 0 | } |
315 | 0 |
|
316 | 0 | if (ctx == NULL) { |
317 | 0 | ctx = new_ctx = BN_CTX_new(); |
318 | 0 | if (ctx == NULL) |
319 | 0 | return 0; |
320 | 0 | } |
321 | 0 | |
322 | 0 | BN_CTX_start(ctx); |
323 | 0 | x = BN_CTX_get(ctx); |
324 | 0 | y = BN_CTX_get(ctx); |
325 | 0 | if (y == NULL) |
326 | 0 | goto err; |
327 | 0 | |
328 | 0 | if (!BN_bin2bn(buf + 1, field_len, x)) |
329 | 0 | goto err; |
330 | 0 | if (BN_ucmp(x, group->field) >= 0) { |
331 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
332 | 0 | goto err; |
333 | 0 | } |
334 | 0 |
|
335 | 0 | if (form == POINT_CONVERSION_COMPRESSED) { |
336 | 0 | if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx)) |
337 | 0 | goto err; |
338 | 0 | } else { |
339 | 0 | if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) |
340 | 0 | goto err; |
341 | 0 | if (BN_ucmp(y, group->field) >= 0) { |
342 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
343 | 0 | goto err; |
344 | 0 | } |
345 | 0 | if (form == POINT_CONVERSION_HYBRID) { |
346 | 0 | if (y_bit != BN_is_odd(y)) { |
347 | 0 | ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
348 | 0 | goto err; |
349 | 0 | } |
350 | 0 | } |
351 | 0 |
|
352 | 0 | /* |
353 | 0 | * EC_POINT_set_affine_coordinates is responsible for checking that |
354 | 0 | * the point is on the curve. |
355 | 0 | */ |
356 | 0 | if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx)) |
357 | 0 | goto err; |
358 | 0 | } |
359 | 0 | |
360 | 0 | ret = 1; |
361 | 0 |
|
362 | 0 | err: |
363 | 0 | BN_CTX_end(ctx); |
364 | 0 | BN_CTX_free(new_ctx); |
365 | 0 | return ret; |
366 | 0 | } |