Coverage Report

Created: 2022-08-24 06:30

/src/libressl/crypto/ec/ecp_oct.c
Line
Count
Source (jump to first uncovered line)
1
/* $OpenBSD: ecp_oct.c,v 1.14 2021/04/20 17:32:57 tb Exp $ */
2
/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
3
 * for the OpenSSL project.
4
 * Includes code written by Bodo Moeller for the OpenSSL project.
5
*/
6
/* ====================================================================
7
 * Copyright (c) 1998-2002 The OpenSSL Project.  All rights reserved.
8
 *
9
 * Redistribution and use in source and binary forms, with or without
10
 * modification, are permitted provided that the following conditions
11
 * are met:
12
 *
13
 * 1. Redistributions of source code must retain the above copyright
14
 *    notice, this list of conditions and the following disclaimer.
15
 *
16
 * 2. Redistributions in binary form must reproduce the above copyright
17
 *    notice, this list of conditions and the following disclaimer in
18
 *    the documentation and/or other materials provided with the
19
 *    distribution.
20
 *
21
 * 3. All advertising materials mentioning features or use of this
22
 *    software must display the following acknowledgment:
23
 *    "This product includes software developed by the OpenSSL Project
24
 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
25
 *
26
 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
27
 *    endorse or promote products derived from this software without
28
 *    prior written permission. For written permission, please contact
29
 *    openssl-core@openssl.org.
30
 *
31
 * 5. Products derived from this software may not be called "OpenSSL"
32
 *    nor may "OpenSSL" appear in their names without prior written
33
 *    permission of the OpenSSL Project.
34
 *
35
 * 6. Redistributions of any form whatsoever must retain the following
36
 *    acknowledgment:
37
 *    "This product includes software developed by the OpenSSL Project
38
 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39
 *
40
 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
41
 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
43
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
44
 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
45
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
46
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
47
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
49
 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
50
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
51
 * OF THE POSSIBILITY OF SUCH DAMAGE.
52
 * ====================================================================
53
 *
54
 * This product includes cryptographic software written by Eric Young
55
 * (eay@cryptsoft.com).  This product includes software written by Tim
56
 * Hudson (tjh@cryptsoft.com).
57
 *
58
 */
59
/* ====================================================================
60
 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
61
 * Portions of this software developed by SUN MICROSYSTEMS, INC.,
62
 * and contributed to the OpenSSL project.
63
 */
64
65
#include <openssl/err.h>
66
67
#include "ec_lcl.h"
68
69
int 
70
ec_GFp_simple_set_compressed_coordinates(const EC_GROUP * group,
71
    EC_POINT * point, const BIGNUM * x_, int y_bit, BN_CTX * ctx)
72
0
{
73
0
  BN_CTX *new_ctx = NULL;
74
0
  BIGNUM *tmp1, *tmp2, *x, *y;
75
0
  int ret = 0;
76
77
  /* clear error queue */
78
0
  ERR_clear_error();
79
80
0
  if (ctx == NULL) {
81
0
    ctx = new_ctx = BN_CTX_new();
82
0
    if (ctx == NULL)
83
0
      return 0;
84
0
  }
85
0
  y_bit = (y_bit != 0);
86
87
0
  BN_CTX_start(ctx);
88
0
  if ((tmp1 = BN_CTX_get(ctx)) == NULL)
89
0
    goto err;
90
0
  if ((tmp2 = BN_CTX_get(ctx)) == NULL)
91
0
    goto err;
92
0
  if ((x = BN_CTX_get(ctx)) == NULL)
93
0
    goto err;
94
0
  if ((y = BN_CTX_get(ctx)) == NULL)
95
0
    goto err;
96
97
  /*
98
   * Recover y.  We have a Weierstrass equation y^2 = x^3 + a*x + b, so
99
   * y  is one of the square roots of  x^3 + a*x + b.
100
   */
101
102
  /* tmp1 := x^3 */
103
0
  if (!BN_nnmod(x, x_, &group->field, ctx))
104
0
    goto err;
105
0
  if (group->meth->field_decode == 0) {
106
    /* field_{sqr,mul} work on standard representation */
107
0
    if (!group->meth->field_sqr(group, tmp2, x_, ctx))
108
0
      goto err;
109
0
    if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx))
110
0
      goto err;
111
0
  } else {
112
0
    if (!BN_mod_sqr(tmp2, x_, &group->field, ctx))
113
0
      goto err;
114
0
    if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx))
115
0
      goto err;
116
0
  }
117
118
  /* tmp1 := tmp1 + a*x */
119
0
  if (group->a_is_minus3) {
120
0
    if (!BN_mod_lshift1_quick(tmp2, x, &group->field))
121
0
      goto err;
122
0
    if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field))
123
0
      goto err;
124
0
    if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field))
125
0
      goto err;
126
0
  } else {
127
0
    if (group->meth->field_decode) {
128
0
      if (!group->meth->field_decode(group, tmp2, &group->a, ctx))
129
0
        goto err;
130
0
      if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx))
131
0
        goto err;
132
0
    } else {
133
      /* field_mul works on standard representation */
134
0
      if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx))
135
0
        goto err;
136
0
    }
137
138
0
    if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field))
139
0
      goto err;
140
0
  }
141
142
  /* tmp1 := tmp1 + b */
143
0
  if (group->meth->field_decode) {
144
0
    if (!group->meth->field_decode(group, tmp2, &group->b, ctx))
145
0
      goto err;
146
0
    if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field))
147
0
      goto err;
148
0
  } else {
149
0
    if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field))
150
0
      goto err;
151
0
  }
152
153
0
  if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) {
154
0
    unsigned long err = ERR_peek_last_error();
155
156
0
    if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
157
0
      ERR_clear_error();
158
0
      ECerror(EC_R_INVALID_COMPRESSED_POINT);
159
0
    } else
160
0
      ECerror(ERR_R_BN_LIB);
161
0
    goto err;
162
0
  }
163
0
  if (y_bit != BN_is_odd(y)) {
164
0
    if (BN_is_zero(y)) {
165
0
      int kron;
166
167
0
      kron = BN_kronecker(x, &group->field, ctx);
168
0
      if (kron == -2)
169
0
        goto err;
170
171
0
      if (kron == 1)
172
0
        ECerror(EC_R_INVALID_COMPRESSION_BIT);
173
0
      else
174
        /*
175
         * BN_mod_sqrt() should have cought this
176
         * error (not a square)
177
         */
178
0
        ECerror(EC_R_INVALID_COMPRESSED_POINT);
179
0
      goto err;
180
0
    }
181
0
    if (!BN_usub(y, &group->field, y))
182
0
      goto err;
183
0
  }
184
0
  if (y_bit != BN_is_odd(y)) {
185
0
    ECerror(ERR_R_INTERNAL_ERROR);
186
0
    goto err;
187
0
  }
188
0
  if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
189
0
    goto err;
190
191
0
  ret = 1;
192
193
0
 err:
194
0
  BN_CTX_end(ctx);
195
0
  BN_CTX_free(new_ctx);
196
0
  return ret;
197
0
}
198
199
200
size_t 
201
ec_GFp_simple_point2oct(const EC_GROUP * group, const EC_POINT * point, point_conversion_form_t form,
202
    unsigned char *buf, size_t len, BN_CTX * ctx)
203
0
{
204
0
  size_t ret;
205
0
  BN_CTX *new_ctx = NULL;
206
0
  int used_ctx = 0;
207
0
  BIGNUM *x, *y;
208
0
  size_t field_len, i, skip;
209
210
0
  if ((form != POINT_CONVERSION_COMPRESSED)
211
0
      && (form != POINT_CONVERSION_UNCOMPRESSED)
212
0
      && (form != POINT_CONVERSION_HYBRID)) {
213
0
    ECerror(EC_R_INVALID_FORM);
214
0
    goto err;
215
0
  }
216
0
  if (EC_POINT_is_at_infinity(group, point) > 0) {
217
    /* encodes to a single 0 octet */
218
0
    if (buf != NULL) {
219
0
      if (len < 1) {
220
0
        ECerror(EC_R_BUFFER_TOO_SMALL);
221
0
        return 0;
222
0
      }
223
0
      buf[0] = 0;
224
0
    }
225
0
    return 1;
226
0
  }
227
  /* ret := required output buffer length */
228
0
  field_len = BN_num_bytes(&group->field);
229
0
  ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
230
231
  /* if 'buf' is NULL, just return required length */
232
0
  if (buf != NULL) {
233
0
    if (len < ret) {
234
0
      ECerror(EC_R_BUFFER_TOO_SMALL);
235
0
      goto err;
236
0
    }
237
0
    if (ctx == NULL) {
238
0
      ctx = new_ctx = BN_CTX_new();
239
0
      if (ctx == NULL)
240
0
        return 0;
241
0
    }
242
0
    BN_CTX_start(ctx);
243
0
    used_ctx = 1;
244
0
    if ((x = BN_CTX_get(ctx)) == NULL)
245
0
      goto err;
246
0
    if ((y = BN_CTX_get(ctx)) == NULL)
247
0
      goto err;
248
249
0
    if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
250
0
      goto err;
251
252
0
    if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
253
0
      buf[0] = form + 1;
254
0
    else
255
0
      buf[0] = form;
256
257
0
    i = 1;
258
259
0
    skip = field_len - BN_num_bytes(x);
260
0
    if (skip > field_len) {
261
0
      ECerror(ERR_R_INTERNAL_ERROR);
262
0
      goto err;
263
0
    }
264
0
    while (skip > 0) {
265
0
      buf[i++] = 0;
266
0
      skip--;
267
0
    }
268
0
    skip = BN_bn2bin(x, buf + i);
269
0
    i += skip;
270
0
    if (i != 1 + field_len) {
271
0
      ECerror(ERR_R_INTERNAL_ERROR);
272
0
      goto err;
273
0
    }
274
0
    if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID) {
275
0
      skip = field_len - BN_num_bytes(y);
276
0
      if (skip > field_len) {
277
0
        ECerror(ERR_R_INTERNAL_ERROR);
278
0
        goto err;
279
0
      }
280
0
      while (skip > 0) {
281
0
        buf[i++] = 0;
282
0
        skip--;
283
0
      }
284
0
      skip = BN_bn2bin(y, buf + i);
285
0
      i += skip;
286
0
    }
287
0
    if (i != ret) {
288
0
      ECerror(ERR_R_INTERNAL_ERROR);
289
0
      goto err;
290
0
    }
291
0
  }
292
0
  if (used_ctx)
293
0
    BN_CTX_end(ctx);
294
0
  BN_CTX_free(new_ctx);
295
0
  return ret;
296
297
0
 err:
298
0
  if (used_ctx)
299
0
    BN_CTX_end(ctx);
300
0
  BN_CTX_free(new_ctx);
301
0
  return 0;
302
0
}
303
304
305
int 
306
ec_GFp_simple_oct2point(const EC_GROUP * group, EC_POINT * point,
307
    const unsigned char *buf, size_t len, BN_CTX * ctx)
308
0
{
309
0
  point_conversion_form_t form;
310
0
  int y_bit;
311
0
  BN_CTX *new_ctx = NULL;
312
0
  BIGNUM *x, *y;
313
0
  size_t field_len, enc_len;
314
0
  int ret = 0;
315
316
0
  if (len == 0) {
317
0
    ECerror(EC_R_BUFFER_TOO_SMALL);
318
0
    return 0;
319
0
  }
320
0
  form = buf[0];
321
0
  y_bit = form & 1;
322
0
  form = form & ~1U;
323
0
  if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
324
0
      && (form != POINT_CONVERSION_UNCOMPRESSED)
325
0
      && (form != POINT_CONVERSION_HYBRID)) {
326
0
    ECerror(EC_R_INVALID_ENCODING);
327
0
    return 0;
328
0
  }
329
0
  if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
330
0
    ECerror(EC_R_INVALID_ENCODING);
331
0
    return 0;
332
0
  }
333
0
  if (form == 0) {
334
0
    if (len != 1) {
335
0
      ECerror(EC_R_INVALID_ENCODING);
336
0
      return 0;
337
0
    }
338
0
    return EC_POINT_set_to_infinity(group, point);
339
0
  }
340
0
  field_len = BN_num_bytes(&group->field);
341
0
  enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
342
343
0
  if (len != enc_len) {
344
0
    ECerror(EC_R_INVALID_ENCODING);
345
0
    return 0;
346
0
  }
347
0
  if (ctx == NULL) {
348
0
    ctx = new_ctx = BN_CTX_new();
349
0
    if (ctx == NULL)
350
0
      return 0;
351
0
  }
352
0
  BN_CTX_start(ctx);
353
0
  if ((x = BN_CTX_get(ctx)) == NULL)
354
0
    goto err;
355
0
  if ((y = BN_CTX_get(ctx)) == NULL)
356
0
    goto err;
357
358
0
  if (!BN_bin2bn(buf + 1, field_len, x))
359
0
    goto err;
360
0
  if (BN_ucmp(x, &group->field) >= 0) {
361
0
    ECerror(EC_R_INVALID_ENCODING);
362
0
    goto err;
363
0
  }
364
0
  if (form == POINT_CONVERSION_COMPRESSED) {
365
    /*
366
     * EC_POINT_set_compressed_coordinates checks that the point
367
     * is on the curve as required by X9.62.
368
     */
369
0
    if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
370
0
      goto err;
371
0
  } else {
372
0
    if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
373
0
      goto err;
374
0
    if (BN_ucmp(y, &group->field) >= 0) {
375
0
      ECerror(EC_R_INVALID_ENCODING);
376
0
      goto err;
377
0
    }
378
0
    if (form == POINT_CONVERSION_HYBRID) {
379
0
      if (y_bit != BN_is_odd(y)) {
380
0
        ECerror(EC_R_INVALID_ENCODING);
381
0
        goto err;
382
0
      }
383
0
    }
384
    /*
385
     * EC_POINT_set_affine_coordinates checks that the point is
386
     * on the curve as required by X9.62.
387
     */
388
0
    if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
389
0
      goto err;
390
0
  }
391
392
0
  ret = 1;
393
394
0
 err:
395
0
  BN_CTX_end(ctx);
396
0
  BN_CTX_free(new_ctx);
397
0
  return ret;
398
0
}