Coverage Report

Created: 2026-07-23 06:28

next uncovered line (L), next uncovered region (R), next uncovered branch (B)
/src/openssl36/crypto/ec/ec2_oct.c
Line
Count
Source
1
/*
2
 * Copyright 2011-2025 The OpenSSL Project Authors. All Rights Reserved.
3
 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
4
 *
5
 * Licensed under the Apache License 2.0 (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
/*
12
 * ECDSA low level APIs are deprecated for public use, but still ok for
13
 * internal use.
14
 */
15
#include "internal/deprecated.h"
16
17
#include <openssl/err.h>
18
19
#include "ec_local.h"
20
21
#ifndef OPENSSL_NO_EC2M
22
23
/*-
24
 * Calculates and sets the affine coordinates of an EC_POINT from the given
25
 * compressed coordinates.  Uses algorithm 2.3.4 of SEC 1.
26
 * Note that the simple implementation only uses affine coordinates.
27
 *
28
 * The method is from the following publication:
29
 *
30
 *     Harper, Menezes, Vanstone:
31
 *     "Public-Key Cryptosystems with Very Small Key Lengths",
32
 *     EUROCRYPT '92, Springer-Verlag LNCS 658,
33
 *     published February 1993
34
 *
35
 * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
36
 * the same method, but claim no priority date earlier than July 29, 1994
37
 * (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
38
 */
39
int ossl_ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group,
40
    EC_POINT *point,
41
    const BIGNUM *x_, int y_bit,
42
    BN_CTX *ctx)
43
193k
{
44
193k
    BIGNUM *tmp, *x, *y, *z;
45
193k
    int ret = 0, z0;
46
193k
#ifndef FIPS_MODULE
47
193k
    BN_CTX *new_ctx = NULL;
48
49
193k
    if (ctx == NULL) {
50
0
        ctx = new_ctx = BN_CTX_new();
51
0
        if (ctx == NULL)
52
0
            return 0;
53
0
    }
54
193k
#endif
55
56
193k
    y_bit = (y_bit != 0) ? 1 : 0;
57
58
193k
    BN_CTX_start(ctx);
59
193k
    tmp = BN_CTX_get(ctx);
60
193k
    x = BN_CTX_get(ctx);
61
193k
    y = BN_CTX_get(ctx);
62
193k
    z = BN_CTX_get(ctx);
63
193k
    if (z == NULL)
64
0
        goto err;
65
66
193k
    if (!BN_GF2m_mod_arr(x, x_, group->poly))
67
0
        goto err;
68
193k
    if (BN_is_zero(x)) {
69
24.5k
        if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx))
70
0
            goto err;
71
169k
    } else {
72
169k
        if (!group->meth->field_sqr(group, tmp, x, ctx))
73
0
            goto err;
74
169k
        if (!group->meth->field_div(group, tmp, group->b, tmp, ctx))
75
0
            goto err;
76
169k
        if (!BN_GF2m_add(tmp, group->a, tmp))
77
0
            goto err;
78
169k
        if (!BN_GF2m_add(tmp, x, tmp))
79
0
            goto err;
80
169k
        ERR_set_mark();
81
169k
        if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {
82
60.5k
#ifndef FIPS_MODULE
83
60.5k
            unsigned long err = ERR_peek_last_error();
84
85
60.5k
            if (ERR_GET_LIB(err) == ERR_LIB_BN
86
60.5k
                && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {
87
56.9k
                ERR_pop_to_mark();
88
56.9k
                ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSED_POINT);
89
56.9k
            } else
90
3.68k
#endif
91
3.68k
            {
92
3.68k
                ERR_clear_last_mark();
93
3.68k
                ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
94
3.68k
            }
95
60.5k
            goto err;
96
60.5k
        }
97
108k
        ERR_clear_last_mark();
98
108k
        z0 = (BN_is_odd(z)) ? 1 : 0;
99
108k
        if (!group->meth->field_mul(group, y, x, z, ctx))
100
0
            goto err;
101
108k
        if (z0 != y_bit) {
102
46.5k
            if (!BN_GF2m_add(y, y, x))
103
0
                goto err;
104
46.5k
        }
105
108k
    }
106
107
133k
    if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
108
0
        goto err;
109
110
133k
    ret = 1;
111
112
193k
err:
113
193k
    BN_CTX_end(ctx);
114
193k
#ifndef FIPS_MODULE
115
193k
    BN_CTX_free(new_ctx);
116
193k
#endif
117
193k
    return ret;
118
133k
}
119
120
/*
121
 * Converts an EC_POINT to an octet string. If buf is NULL, the encoded
122
 * length will be returned. If the length len of buf is smaller than required
123
 * an error will be returned.
124
 */
125
size_t ossl_ec_GF2m_simple_point2oct(const EC_GROUP *group,
126
    const EC_POINT *point,
127
    point_conversion_form_t form,
128
    unsigned char *buf, size_t len, BN_CTX *ctx)
129
9.36k
{
130
9.36k
    size_t ret;
131
9.36k
    int used_ctx = 0;
132
9.36k
    BIGNUM *x, *y, *yxi;
133
9.36k
    size_t field_len, i, skip;
134
9.36k
#ifndef FIPS_MODULE
135
9.36k
    BN_CTX *new_ctx = NULL;
136
9.36k
#endif
137
138
9.36k
    if ((form != POINT_CONVERSION_COMPRESSED)
139
7.20k
        && (form != POINT_CONVERSION_UNCOMPRESSED)
140
261
        && (form != POINT_CONVERSION_HYBRID)) {
141
225
        ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
142
225
        goto err;
143
225
    }
144
145
9.14k
    if (EC_POINT_is_at_infinity(group, point)) {
146
        /* encodes to a single 0 octet */
147
888
        if (buf != NULL) {
148
444
            if (len < 1) {
149
0
                ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
150
0
                return 0;
151
0
            }
152
444
            buf[0] = 0;
153
444
        }
154
888
        return 1;
155
888
    }
156
157
    /* ret := required output buffer length */
158
8.25k
    field_len = (EC_GROUP_get_degree(group) + 7) / 8;
159
8.25k
    ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
160
161
    /* if 'buf' is NULL, just return required length */
162
8.25k
    if (buf != NULL) {
163
4.12k
        if (len < ret) {
164
0
            ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
165
0
            goto err;
166
0
        }
167
168
4.12k
#ifndef FIPS_MODULE
169
4.12k
        if (ctx == NULL) {
170
4.12k
            ctx = new_ctx = BN_CTX_new();
171
4.12k
            if (ctx == NULL)
172
0
                return 0;
173
4.12k
        }
174
4.12k
#endif
175
176
4.12k
        BN_CTX_start(ctx);
177
4.12k
        used_ctx = 1;
178
4.12k
        x = BN_CTX_get(ctx);
179
4.12k
        y = BN_CTX_get(ctx);
180
4.12k
        yxi = BN_CTX_get(ctx);
181
4.12k
        if (yxi == NULL)
182
0
            goto err;
183
184
4.12k
        if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
185
0
            goto err;
186
187
4.12k
        buf[0] = form;
188
4.12k
        if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) {
189
1.01k
            if (!group->meth->field_div(group, yxi, y, x, ctx))
190
0
                goto err;
191
1.01k
            if (BN_is_odd(yxi))
192
528
                buf[0]++;
193
1.01k
        }
194
195
4.12k
        i = 1;
196
197
4.12k
        skip = field_len - BN_num_bytes(x);
198
4.12k
        if (skip > field_len) {
199
0
            ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
200
0
            goto err;
201
0
        }
202
13.4k
        while (skip > 0) {
203
9.34k
            buf[i++] = 0;
204
9.34k
            skip--;
205
9.34k
        }
206
4.12k
        skip = BN_bn2bin(x, buf + i);
207
4.12k
        i += skip;
208
4.12k
        if (i != 1 + field_len) {
209
0
            ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
210
0
            goto err;
211
0
        }
212
213
4.12k
        if (form == POINT_CONVERSION_UNCOMPRESSED
214
3.04k
            || form == POINT_CONVERSION_HYBRID) {
215
3.04k
            skip = field_len - BN_num_bytes(y);
216
3.04k
            if (skip > field_len) {
217
0
                ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
218
0
                goto err;
219
0
            }
220
4.75k
            while (skip > 0) {
221
1.70k
                buf[i++] = 0;
222
1.70k
                skip--;
223
1.70k
            }
224
3.04k
            skip = BN_bn2bin(y, buf + i);
225
3.04k
            i += skip;
226
3.04k
        }
227
228
4.12k
        if (i != ret) {
229
0
            ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
230
0
            goto err;
231
0
        }
232
4.12k
    }
233
234
8.25k
    if (used_ctx)
235
4.12k
        BN_CTX_end(ctx);
236
8.25k
#ifndef FIPS_MODULE
237
8.25k
    BN_CTX_free(new_ctx);
238
8.25k
#endif
239
8.25k
    return ret;
240
241
225
err:
242
225
    if (used_ctx)
243
0
        BN_CTX_end(ctx);
244
225
#ifndef FIPS_MODULE
245
225
    BN_CTX_free(new_ctx);
246
225
#endif
247
225
    return 0;
248
8.25k
}
249
250
/*
251
 * Converts an octet string representation to an EC_POINT. Note that the
252
 * simple implementation only uses affine coordinates.
253
 */
254
int ossl_ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
255
    const unsigned char *buf, size_t len,
256
    BN_CTX *ctx)
257
296k
{
258
296k
    point_conversion_form_t form;
259
296k
    int y_bit, m;
260
296k
    BIGNUM *x, *y, *yxi;
261
296k
    int field_len, enc_len;
262
296k
    int ret = 0;
263
296k
#ifndef FIPS_MODULE
264
296k
    BN_CTX *new_ctx = NULL;
265
296k
#endif
266
267
296k
    if (len == 0) {
268
6.15k
        ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
269
6.15k
        return 0;
270
6.15k
    }
271
272
    /*
273
     * The first octet is the point conversion octet PC, see X9.62, page 4
274
     * and section 4.4.2.  It must be:
275
     *     0x00          for the point at infinity
276
     *     0x02 or 0x03  for compressed form
277
     *     0x04          for uncompressed form
278
     *     0x06 or 0x07  for hybrid form.
279
     * For compressed or hybrid forms, we store the last bit of buf[0] as
280
     * y_bit and clear it from buf[0] so as to obtain a POINT_CONVERSION_*.
281
     * We error if buf[0] contains any but the above values.
282
     */
283
290k
    y_bit = buf[0] & 1;
284
290k
    form = buf[0] & ~1U;
285
286
290k
    if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
287
43.1k
        && (form != POINT_CONVERSION_UNCOMPRESSED)
288
39.1k
        && (form != POINT_CONVERSION_HYBRID)) {
289
5.47k
        ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
290
5.47k
        return 0;
291
5.47k
    }
292
284k
    if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
293
3.31k
        ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
294
3.31k
        return 0;
295
3.31k
    }
296
297
    /* The point at infinity is represented by a single zero octet. */
298
281k
    if (form == 0) {
299
29.7k
        if (len != 1) {
300
3.02k
            ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
301
3.02k
            return 0;
302
3.02k
        }
303
304
26.7k
        return EC_POINT_set_to_infinity(group, point);
305
29.7k
    }
306
307
251k
    m = EC_GROUP_get_degree(group);
308
251k
    field_len = (m + 7) / 8;
309
251k
    enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
310
311
251k
    if (len != (size_t)enc_len) {
312
20.0k
        ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
313
20.0k
        return 0;
314
20.0k
    }
315
316
231k
#ifndef FIPS_MODULE
317
231k
    if (ctx == NULL) {
318
231k
        ctx = new_ctx = BN_CTX_new();
319
231k
        if (ctx == NULL)
320
0
            return 0;
321
231k
    }
322
231k
#endif
323
324
231k
    BN_CTX_start(ctx);
325
231k
    x = BN_CTX_get(ctx);
326
231k
    y = BN_CTX_get(ctx);
327
231k
    yxi = BN_CTX_get(ctx);
328
231k
    if (yxi == NULL)
329
0
        goto err;
330
331
231k
    if (!BN_bin2bn(buf + 1, field_len, x))
332
0
        goto err;
333
231k
    if (BN_num_bits(x) > m) {
334
10.0k
        ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
335
10.0k
        goto err;
336
10.0k
    }
337
338
221k
    if (form == POINT_CONVERSION_COMPRESSED) {
339
193k
        if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
340
60.5k
            goto err;
341
193k
    } else {
342
27.6k
        if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
343
0
            goto err;
344
27.6k
        if (BN_num_bits(y) > m) {
345
1.05k
            ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
346
1.05k
            goto err;
347
1.05k
        }
348
26.6k
        if (form == POINT_CONVERSION_HYBRID) {
349
            /*
350
             * Check that the form in the encoding was set correctly
351
             * according to X9.62 4.4.2.a, 4(c), see also first paragraph
352
             * of X9.62, 4.4.1.b.
353
             */
354
25.3k
            if (BN_is_zero(x)) {
355
1.87k
                if (y_bit != 0) {
356
399
                    ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
357
399
                    goto err;
358
399
                }
359
23.4k
            } else {
360
23.4k
                if (!group->meth->field_div(group, yxi, y, x, ctx))
361
0
                    goto err;
362
23.4k
                if (y_bit != BN_is_odd(yxi)) {
363
10.5k
                    ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
364
10.5k
                    goto err;
365
10.5k
                }
366
23.4k
            }
367
25.3k
        }
368
369
        /*
370
         * EC_POINT_set_affine_coordinates is responsible for checking that
371
         * the point is on the curve.
372
         */
373
15.7k
        if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
374
15.6k
            goto err;
375
15.7k
    }
376
377
133k
    ret = 1;
378
379
231k
err:
380
231k
    BN_CTX_end(ctx);
381
231k
#ifndef FIPS_MODULE
382
231k
    BN_CTX_free(new_ctx);
383
231k
#endif
384
231k
    return ret;
385
133k
}
386
#endif