diff options
Diffstat (limited to 'src')
-rw-r--r-- | src/lib/libcrypto/ec/ec_mult.c | 217 |
1 files changed, 131 insertions, 86 deletions
diff --git a/src/lib/libcrypto/ec/ec_mult.c b/src/lib/libcrypto/ec/ec_mult.c index 4944c34a1e..0454a436a2 100644 --- a/src/lib/libcrypto/ec/ec_mult.c +++ b/src/lib/libcrypto/ec/ec_mult.c | |||
@@ -1,4 +1,4 @@ | |||
1 | /* $OpenBSD: ec_mult.c,v 1.51 2024/11/23 12:56:31 tb Exp $ */ | 1 | /* $OpenBSD: ec_mult.c,v 1.52 2024/12/06 15:39:59 tb Exp $ */ |
2 | /* | 2 | /* |
3 | * Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project. | 3 | * Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project. |
4 | */ | 4 | */ |
@@ -71,6 +71,14 @@ | |||
71 | 71 | ||
72 | #include "ec_local.h" | 72 | #include "ec_local.h" |
73 | 73 | ||
74 | /* Holds the wNAF digits of bn and the corresponding odd multiples of point. */ | ||
75 | struct ec_wnaf { | ||
76 | signed char *digits; | ||
77 | size_t num_digits; | ||
78 | EC_POINT **multiples; | ||
79 | size_t num_multiples; | ||
80 | }; | ||
81 | |||
74 | static int | 82 | static int |
75 | ec_window_bits(const BIGNUM *bn) | 83 | ec_window_bits(const BIGNUM *bn) |
76 | { | 84 | { |
@@ -96,22 +104,18 @@ ec_window_bits(const BIGNUM *bn) | |||
96 | */ | 104 | */ |
97 | 105 | ||
98 | static int | 106 | static int |
99 | ec_compute_wNAF(const BIGNUM *bn, signed char **out_wNAF, size_t *out_wNAF_len, | 107 | ec_compute_wnaf(const BIGNUM *bn, signed char *digits, size_t num_digits) |
100 | size_t *out_len) | ||
101 | { | 108 | { |
102 | signed char *wNAF = NULL; | ||
103 | size_t i, wNAF_len, len; | ||
104 | int digit, bit, next, sign, wbits, window; | 109 | int digit, bit, next, sign, wbits, window; |
110 | size_t i; | ||
105 | int ret = 0; | 111 | int ret = 0; |
106 | 112 | ||
107 | wNAF_len = BN_num_bits(bn) + 1; | 113 | if (num_digits != BN_num_bits(bn) + 1) { |
108 | if ((wNAF = calloc(1, wNAF_len)) == NULL) { | 114 | ECerror(ERR_R_INTERNAL_ERROR); |
109 | ECerror(ERR_R_MALLOC_FAILURE); | ||
110 | goto err; | 115 | goto err; |
111 | } | 116 | } |
112 | 117 | ||
113 | wbits = ec_window_bits(bn); | 118 | wbits = ec_window_bits(bn); |
114 | len = 1 << (wbits - 1); | ||
115 | 119 | ||
116 | sign = BN_is_negative(bn) ? -1 : 1; | 120 | sign = BN_is_negative(bn) ? -1 : 1; |
117 | 121 | ||
@@ -126,7 +130,7 @@ ec_compute_wNAF(const BIGNUM *bn, signed char **out_wNAF, size_t *out_wNAF_len, | |||
126 | } | 130 | } |
127 | 131 | ||
128 | /* Instead of bn >>= 1 in each iteration, slide window to the left. */ | 132 | /* Instead of bn >>= 1 in each iteration, slide window to the left. */ |
129 | for (i = 0; i < wNAF_len; i++) { | 133 | for (i = 0; i < num_digits; i++) { |
130 | digit = 0; | 134 | digit = 0; |
131 | 135 | ||
132 | /* | 136 | /* |
@@ -142,100 +146,64 @@ ec_compute_wNAF(const BIGNUM *bn, signed char **out_wNAF, size_t *out_wNAF_len, | |||
142 | window -= digit; | 146 | window -= digit; |
143 | } | 147 | } |
144 | 148 | ||
145 | wNAF[i] = sign * digit; | 149 | digits[i] = sign * digit; |
146 | 150 | ||
147 | /* Slide the window to the left. */ | 151 | /* Slide the window to the left. */ |
148 | window >>= 1; | 152 | window >>= 1; |
149 | window += bit * BN_is_bit_set(bn, i + wbits + 1); | 153 | window += bit * BN_is_bit_set(bn, i + wbits + 1); |
150 | } | 154 | } |
151 | 155 | ||
152 | *out_wNAF = wNAF; | ||
153 | wNAF = NULL; | ||
154 | *out_wNAF_len = wNAF_len; | ||
155 | *out_len = len; | ||
156 | |||
157 | ret = 1; | 156 | ret = 1; |
158 | 157 | ||
159 | err: | 158 | err: |
160 | free(wNAF); | ||
161 | |||
162 | return ret; | 159 | return ret; |
163 | } | 160 | } |
164 | 161 | ||
165 | static void | ||
166 | free_row(EC_POINT **row, size_t row_len) | ||
167 | { | ||
168 | size_t i; | ||
169 | |||
170 | if (row == NULL) | ||
171 | return; | ||
172 | |||
173 | for (i = 0; i < row_len; i++) | ||
174 | EC_POINT_free(row[i]); | ||
175 | free(row); | ||
176 | } | ||
177 | |||
178 | static int | 162 | static int |
179 | ec_compute_odd_multiples(const EC_GROUP *group, const EC_POINT *point, | 163 | ec_compute_odd_multiples(const EC_GROUP *group, const EC_POINT *point, |
180 | EC_POINT ***out_row, size_t row_len, BN_CTX *ctx) | 164 | EC_POINT **multiples, size_t num_multiples, BN_CTX *ctx) |
181 | { | 165 | { |
182 | EC_POINT **row = NULL; | ||
183 | EC_POINT *doubled = NULL; | 166 | EC_POINT *doubled = NULL; |
184 | size_t i; | 167 | size_t i; |
185 | int ret = 0; | 168 | int ret = 0; |
186 | 169 | ||
187 | if (row_len < 1) | 170 | if (num_multiples < 1) |
188 | goto err; | ||
189 | |||
190 | if ((row = calloc(row_len, sizeof(*row))) == NULL) | ||
191 | goto err; | 171 | goto err; |
192 | 172 | ||
193 | if ((row[0] = EC_POINT_dup(point, group)) == NULL) | 173 | if ((multiples[0] = EC_POINT_dup(point, group)) == NULL) |
194 | goto err; | 174 | goto err; |
195 | 175 | ||
196 | if ((doubled = EC_POINT_new(group)) == NULL) | 176 | if ((doubled = EC_POINT_new(group)) == NULL) |
197 | goto err; | 177 | goto err; |
198 | if (!EC_POINT_dbl(group, doubled, point, ctx)) | 178 | if (!EC_POINT_dbl(group, doubled, point, ctx)) |
199 | goto err; | 179 | goto err; |
200 | for (i = 1; i < row_len; i++) { | 180 | for (i = 1; i < num_multiples; i++) { |
201 | if ((row[i] = EC_POINT_new(group)) == NULL) | 181 | if ((multiples[i] = EC_POINT_new(group)) == NULL) |
202 | goto err; | 182 | goto err; |
203 | if (!EC_POINT_add(group, row[i], row[i - 1], doubled, ctx)) | 183 | if (!EC_POINT_add(group, multiples[i], multiples[i - 1], doubled, |
184 | ctx)) | ||
204 | goto err; | 185 | goto err; |
205 | } | 186 | } |
206 | 187 | ||
207 | *out_row = row; | ||
208 | row = NULL; | ||
209 | |||
210 | ret = 1; | 188 | ret = 1; |
211 | 189 | ||
212 | err: | 190 | err: |
213 | EC_POINT_free(doubled); | 191 | EC_POINT_free(doubled); |
214 | free_row(row, row_len); | ||
215 | 192 | ||
216 | return ret; | 193 | return ret; |
217 | } | 194 | } |
218 | 195 | ||
219 | /* | 196 | /* |
220 | * Compute the wNAF representation of m and a list of odd multiples of point. | 197 | * Bring multiples held in wnaf0 and wnaf1 simultaneously into affine form |
198 | * so that the operations in the loop in ec_wNAF_mul() can take fast paths. | ||
221 | */ | 199 | */ |
222 | 200 | ||
223 | static int | 201 | static int |
224 | ec_compute_row(const EC_GROUP *group, const BIGNUM *m, const EC_POINT *point, | 202 | ec_normalize_points(const EC_GROUP *group, struct ec_wnaf *wnaf0, |
225 | signed char **wNAF, size_t *wNAF_len, EC_POINT ***out_row, size_t *out_row_len, | 203 | struct ec_wnaf *wnaf1, BN_CTX *ctx) |
226 | BN_CTX *ctx) | ||
227 | { | ||
228 | if (!ec_compute_wNAF(m, wNAF, wNAF_len, out_row_len)) | ||
229 | return 0; | ||
230 | if (!ec_compute_odd_multiples(group, point, out_row, *out_row_len, ctx)) | ||
231 | return 0; | ||
232 | return 1; | ||
233 | } | ||
234 | |||
235 | static int | ||
236 | ec_normalize_rows(const EC_GROUP *group, EC_POINT **row0, size_t len0, | ||
237 | EC_POINT **row1, size_t len1, BN_CTX *ctx) | ||
238 | { | 204 | { |
205 | EC_POINT **points0 = wnaf0->multiples, **points1 = wnaf1->multiples; | ||
206 | size_t len0 = wnaf0->num_multiples, len1 = wnaf1->num_multiples; | ||
239 | EC_POINT **val = NULL; | 207 | EC_POINT **val = NULL; |
240 | size_t len = 0; | 208 | size_t len = 0; |
241 | int ret = 0; | 209 | int ret = 0; |
@@ -248,8 +216,8 @@ ec_normalize_rows(const EC_GROUP *group, EC_POINT **row0, size_t len0, | |||
248 | ECerror(ERR_R_MALLOC_FAILURE); | 216 | ECerror(ERR_R_MALLOC_FAILURE); |
249 | goto err; | 217 | goto err; |
250 | } | 218 | } |
251 | memcpy(&val[0], row0, sizeof(*val) * len0); | 219 | memcpy(&val[0], points0, sizeof(*val) * len0); |
252 | memcpy(&val[len0], row1, sizeof(*val) * len1); | 220 | memcpy(&val[len0], points1, sizeof(*val) * len1); |
253 | 221 | ||
254 | if (!EC_POINTs_make_affine(group, len, val, ctx)) | 222 | if (!EC_POINTs_make_affine(group, len, val, ctx)) |
255 | goto err; | 223 | goto err; |
@@ -262,6 +230,88 @@ ec_normalize_rows(const EC_GROUP *group, EC_POINT **row0, size_t len0, | |||
262 | return ret; | 230 | return ret; |
263 | } | 231 | } |
264 | 232 | ||
233 | static void | ||
234 | ec_points_free(EC_POINT **points, size_t num_points) | ||
235 | { | ||
236 | size_t i; | ||
237 | |||
238 | if (points == NULL) | ||
239 | return; | ||
240 | |||
241 | for (i = 0; i < num_points; i++) | ||
242 | EC_POINT_free(points[i]); | ||
243 | free(points); | ||
244 | } | ||
245 | |||
246 | static void | ||
247 | ec_wnaf_free(struct ec_wnaf *wnaf) | ||
248 | { | ||
249 | if (wnaf == NULL) | ||
250 | return; | ||
251 | |||
252 | free(wnaf->digits); | ||
253 | ec_points_free(wnaf->multiples, wnaf->num_multiples); | ||
254 | free(wnaf); | ||
255 | } | ||
256 | |||
257 | /* | ||
258 | * Calculate wNAF splitting of bn and the corresponding odd multiples of point. | ||
259 | */ | ||
260 | |||
261 | static struct ec_wnaf * | ||
262 | ec_wnaf_new(const EC_GROUP *group, const EC_POINT *point, const BIGNUM *bn, | ||
263 | BN_CTX *ctx) | ||
264 | { | ||
265 | struct ec_wnaf *wnaf; | ||
266 | |||
267 | if ((wnaf = calloc(1, sizeof(*wnaf))) == NULL) | ||
268 | goto err; | ||
269 | |||
270 | wnaf->num_digits = BN_num_bits(bn) + 1; | ||
271 | if ((wnaf->digits = calloc(wnaf->num_digits, | ||
272 | sizeof(*wnaf->digits))) == NULL) | ||
273 | goto err; | ||
274 | |||
275 | if (!ec_compute_wnaf(bn, wnaf->digits, wnaf->num_digits)) | ||
276 | goto err; | ||
277 | |||
278 | wnaf->num_multiples = 1 << (ec_window_bits(bn) - 1); | ||
279 | if ((wnaf->multiples = calloc(wnaf->num_multiples, | ||
280 | sizeof(*wnaf->multiples))) == NULL) | ||
281 | goto err; | ||
282 | |||
283 | if (!ec_compute_odd_multiples(group, point, wnaf->multiples, | ||
284 | wnaf->num_multiples, ctx)) | ||
285 | goto err; | ||
286 | |||
287 | return wnaf; | ||
288 | |||
289 | err: | ||
290 | ec_wnaf_free(wnaf); | ||
291 | |||
292 | return NULL; | ||
293 | } | ||
294 | |||
295 | static signed char | ||
296 | ec_wnaf_digit(struct ec_wnaf *wnaf, size_t idx) | ||
297 | { | ||
298 | if (idx >= wnaf->num_digits) | ||
299 | return 0; | ||
300 | |||
301 | return wnaf->digits[idx]; | ||
302 | } | ||
303 | |||
304 | const EC_POINT * | ||
305 | ec_wnaf_multiple(struct ec_wnaf *wnaf, signed char digit) | ||
306 | { | ||
307 | if (digit < 0) | ||
308 | return NULL; | ||
309 | if (digit >= 2 * wnaf->num_multiples) | ||
310 | return NULL; | ||
311 | |||
312 | return wnaf->multiples[digit >> 1]; | ||
313 | } | ||
314 | |||
265 | /* | 315 | /* |
266 | * Compute r = generator * m + point * n in non-constant time. | 316 | * Compute r = generator * m + point * n in non-constant time. |
267 | */ | 317 | */ |
@@ -270,15 +320,12 @@ int | |||
270 | ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, | 320 | ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, |
271 | const EC_POINT *point, const BIGNUM *n, BN_CTX *ctx) | 321 | const EC_POINT *point, const BIGNUM *n, BN_CTX *ctx) |
272 | { | 322 | { |
323 | struct ec_wnaf *wnaf[2] = { NULL, NULL }; | ||
273 | const EC_POINT *generator; | 324 | const EC_POINT *generator; |
274 | signed char *wNAF[2] = { 0 }; | ||
275 | size_t wNAF_len[2] = { 0 }; | ||
276 | EC_POINT **row[2] = { 0 }; | ||
277 | size_t row_len[2] = { 0 }; | ||
278 | size_t i; | 325 | size_t i; |
279 | int k; | 326 | int k; |
280 | int r_is_inverted = 0; | 327 | int r_is_inverted = 0; |
281 | size_t max_len = 0; | 328 | size_t num_digits; |
282 | int ret = 0; | 329 | int ret = 0; |
283 | 330 | ||
284 | if (m == NULL || n == NULL) { | 331 | if (m == NULL || n == NULL) { |
@@ -295,18 +342,17 @@ ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, | |||
295 | goto err; | 342 | goto err; |
296 | } | 343 | } |
297 | 344 | ||
298 | if (!ec_compute_row(group, m, generator, &wNAF[0], &wNAF_len[0], | 345 | if ((wnaf[0] = ec_wnaf_new(group, generator, m, ctx)) == NULL) |
299 | &row[0], &row_len[0], ctx)) | ||
300 | goto err; | 346 | goto err; |
301 | if (!ec_compute_row(group, n, point, &wNAF[1], &wNAF_len[1], | 347 | if ((wnaf[1] = ec_wnaf_new(group, point, n, ctx)) == NULL) |
302 | &row[1], &row_len[1], ctx)) | ||
303 | goto err; | 348 | goto err; |
304 | if (!ec_normalize_rows(group, row[0], row_len[0], row[1], row_len[1], ctx)) | 349 | |
350 | if (!ec_normalize_points(group, wnaf[0], wnaf[1], ctx)) | ||
305 | goto err; | 351 | goto err; |
306 | 352 | ||
307 | max_len = wNAF_len[0]; | 353 | num_digits = wnaf[0]->num_digits; |
308 | if (wNAF_len[1] > max_len) | 354 | if (wnaf[1]->num_digits > num_digits) |
309 | max_len = wNAF_len[1]; | 355 | num_digits = wnaf[1]->num_digits; |
310 | 356 | ||
311 | /* | 357 | /* |
312 | * Set r to the neutral element. Scan through the wNAF representations | 358 | * Set r to the neutral element. Scan through the wNAF representations |
@@ -319,18 +365,16 @@ ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, | |||
319 | if (!EC_POINT_set_to_infinity(group, r)) | 365 | if (!EC_POINT_set_to_infinity(group, r)) |
320 | goto err; | 366 | goto err; |
321 | 367 | ||
322 | for (k = max_len - 1; k >= 0; k--) { | 368 | for (k = num_digits - 1; k >= 0; k--) { |
323 | if (!EC_POINT_dbl(group, r, r, ctx)) | 369 | if (!EC_POINT_dbl(group, r, r, ctx)) |
324 | goto err; | 370 | goto err; |
325 | 371 | ||
326 | for (i = 0; i < 2; i++) { | 372 | for (i = 0; i < 2; i++) { |
327 | int digit; | 373 | const EC_POINT *multiple; |
374 | signed char digit; | ||
328 | int is_neg = 0; | 375 | int is_neg = 0; |
329 | 376 | ||
330 | if (k >= wNAF_len[i]) | 377 | if ((digit = ec_wnaf_digit(wnaf[i], k)) == 0) |
331 | continue; | ||
332 | |||
333 | if ((digit = wNAF[i][k]) == 0) | ||
334 | continue; | 378 | continue; |
335 | 379 | ||
336 | if (digit < 0) { | 380 | if (digit < 0) { |
@@ -344,7 +388,10 @@ ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, | |||
344 | r_is_inverted = !r_is_inverted; | 388 | r_is_inverted = !r_is_inverted; |
345 | } | 389 | } |
346 | 390 | ||
347 | if (!EC_POINT_add(group, r, r, row[i][digit >> 1], ctx)) | 391 | if ((multiple = ec_wnaf_multiple(wnaf[i], digit)) == NULL) |
392 | goto err; | ||
393 | |||
394 | if (!EC_POINT_add(group, r, r, multiple, ctx)) | ||
348 | goto err; | 395 | goto err; |
349 | } | 396 | } |
350 | } | 397 | } |
@@ -357,10 +404,8 @@ ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *m, | |||
357 | ret = 1; | 404 | ret = 1; |
358 | 405 | ||
359 | err: | 406 | err: |
360 | free(wNAF[0]); | 407 | ec_wnaf_free(wnaf[0]); |
361 | free(wNAF[1]); | 408 | ec_wnaf_free(wnaf[1]); |
362 | free_row(row[0], row_len[0]); | ||
363 | free_row(row[1], row_len[1]); | ||
364 | 409 | ||
365 | return ret; | 410 | return ret; |
366 | } | 411 | } |