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 | } |
