1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
|
/* $OpenBSD: ecparam.c,v 1.18 2019/07/14 03:30:45 guenther Exp $ */
/*
* Written by Nils Larsch for the OpenSSL project.
*/
/* ====================================================================
* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
*
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the OpenSSL open source
* license provided above.
*
* The elliptic curve binary polynomial software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
#include <openssl/opensslconf.h>
#ifndef OPENSSL_NO_EC
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include "apps.h"
#include <openssl/bio.h>
#include <openssl/bn.h>
#include <openssl/ec.h>
#include <openssl/err.h>
#include <openssl/pem.h>
#include <openssl/x509.h>
static int ecparam_print_var(BIO *, BIGNUM *, const char *, int,
unsigned char *);
static struct {
int C;
int asn1_flag;
int check;
char *curve_name;
point_conversion_form_t form;
int genkey;
char *infile;
int informat;
int list_curves;
int new_asn1_flag;
int new_form;
int no_seed;
int noout;
char *outfile;
int outformat;
int text;
} ecparam_config;
static int
ecparam_opt_form(char *arg)
{
if (strcmp(arg, "compressed") == 0)
ecparam_config.form = POINT_CONVERSION_COMPRESSED;
else if (strcmp(arg, "uncompressed") == 0)
ecparam_config.form = POINT_CONVERSION_UNCOMPRESSED;
else if (strcmp(arg, "hybrid") == 0)
ecparam_config.form = POINT_CONVERSION_HYBRID;
else
return (1);
ecparam_config.new_form = 1;
return (0);
}
static int
ecparam_opt_enctype(char *arg)
{
if (strcmp(arg, "explicit") == 0)
ecparam_config.asn1_flag = 0;
else if (strcmp(arg, "named_curve") == 0)
ecparam_config.asn1_flag = OPENSSL_EC_NAMED_CURVE;
else
return (1);
ecparam_config.new_asn1_flag = 1;
return (0);
}
static const struct option ecparam_options[] = {
{
.name = "C",
.desc = "Convert the EC parameters into C code",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.C,
},
{
.name = "check",
.desc = "Validate the elliptic curve parameters",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.check,
},
{
.name = "conv_form",
.argname = "form",
.desc = "Specify point conversion form:\n"
" compressed, uncompressed (default), hybrid",
.type = OPTION_ARG_FUNC,
.opt.argfunc = ecparam_opt_form,
},
{
.name = "genkey",
.desc = "Generate an EC private key using the specified "
"parameters",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.genkey,
},
{
.name = "in",
.argname = "file",
.desc = "Input file to read parameters from (default stdin)",
.type = OPTION_ARG,
.opt.arg = &ecparam_config.infile,
},
{
.name = "inform",
.argname = "format",
.desc = "Input format (DER or PEM)",
.type = OPTION_ARG_FORMAT,
.opt.value = &ecparam_config.informat,
},
{
.name = "list_curves",
.desc = "Print list of all currently implemented EC "
"parameter names",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.list_curves,
},
{
.name = "name",
.argname = "curve",
.desc = "Use the EC parameters with the specified name",
.type = OPTION_ARG,
.opt.arg = &ecparam_config.curve_name,
},
{
.name = "no_seed",
.desc = "Do not output seed with explicit parameter encoding",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.no_seed,
},
{
.name = "noout",
.desc = "Do not output encoded version of EC parameters",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.noout,
},
{
.name = "out",
.argname = "file",
.desc = "Output file to write parameters to (default stdout)",
.type = OPTION_ARG,
.opt.arg = &ecparam_config.outfile,
},
{
.name = "outform",
.argname = "format",
.desc = "Output format (DER or PEM)",
.type = OPTION_ARG_FORMAT,
.opt.value = &ecparam_config.outformat,
},
{
.name = "param_enc",
.argname = "type",
.desc = "Specify EC parameter ASN.1 encoding type:\n"
" explicit, named_curve (default)",
.type = OPTION_ARG_FUNC,
.opt.argfunc = ecparam_opt_enctype,
},
{
.name = "text",
.desc = "Print out the EC parameters in human readable form",
.type = OPTION_FLAG,
.opt.flag = &ecparam_config.text,
},
{NULL},
};
static void
ecparam_usage(void)
{
fprintf(stderr, "usage: ecparam [-C] [-check] [-conv_form arg] "
" [-genkey]\n"
" [-in file] [-inform DER | PEM] [-list_curves] [-name arg]\n"
" [-no_seed] [-noout] [-out file] [-outform DER | PEM]\n"
" [-param_enc arg] [-text]\n\n");
options_usage(ecparam_options);
}
int
ecparam_main(int argc, char **argv)
{
BIGNUM *ec_p = NULL, *ec_a = NULL, *ec_b = NULL, *ec_gen = NULL;
BIGNUM *ec_order = NULL, *ec_cofactor = NULL;
EC_GROUP *group = NULL;
unsigned char *buffer = NULL;
BIO *in = NULL, *out = NULL;
int i, ret = 1;
if (single_execution) {
if (pledge("stdio cpath wpath rpath", NULL) == -1) {
perror("pledge");
exit(1);
}
}
memset(&ecparam_config, 0, sizeof(ecparam_config));
ecparam_config.asn1_flag = OPENSSL_EC_NAMED_CURVE;
ecparam_config.form = POINT_CONVERSION_UNCOMPRESSED;
ecparam_config.informat = FORMAT_PEM;
ecparam_config.outformat = FORMAT_PEM;
if (options_parse(argc, argv, ecparam_options, NULL, NULL) != 0) {
ecparam_usage();
goto end;
}
in = BIO_new(BIO_s_file());
out = BIO_new(BIO_s_file());
if ((in == NULL) || (out == NULL)) {
ERR_print_errors(bio_err);
goto end;
}
if (ecparam_config.infile == NULL)
BIO_set_fp(in, stdin, BIO_NOCLOSE);
else {
if (BIO_read_filename(in, ecparam_config.infile) <= 0) {
perror(ecparam_config.infile);
goto end;
}
}
if (ecparam_config.outfile == NULL) {
BIO_set_fp(out, stdout, BIO_NOCLOSE);
} else {
if (BIO_write_filename(out, ecparam_config.outfile) <= 0) {
perror(ecparam_config.outfile);
goto end;
}
}
if (ecparam_config.list_curves) {
EC_builtin_curve *curves = NULL;
size_t crv_len = 0;
size_t n = 0;
crv_len = EC_get_builtin_curves(NULL, 0);
curves = reallocarray(NULL, crv_len, sizeof(EC_builtin_curve));
if (curves == NULL)
goto end;
if (!EC_get_builtin_curves(curves, crv_len)) {
free(curves);
goto end;
}
for (n = 0; n < crv_len; n++) {
const char *comment;
const char *sname;
comment = curves[n].comment;
sname = OBJ_nid2sn(curves[n].nid);
if (comment == NULL)
comment = "CURVE DESCRIPTION NOT AVAILABLE";
if (sname == NULL)
sname = "";
BIO_printf(out, " %-10s: ", sname);
BIO_printf(out, "%s\n", comment);
}
free(curves);
ret = 0;
goto end;
}
if (ecparam_config.curve_name != NULL) {
int nid;
/*
* workaround for the SECG curve names secp192r1 and
* secp256r1 (which are the same as the curves prime192v1 and
* prime256v1 defined in X9.62)
*/
if (!strcmp(ecparam_config.curve_name, "secp192r1")) {
BIO_printf(bio_err, "using curve name prime192v1 "
"instead of secp192r1\n");
nid = NID_X9_62_prime192v1;
} else if (!strcmp(ecparam_config.curve_name, "secp256r1")) {
BIO_printf(bio_err, "using curve name prime256v1 "
"instead of secp256r1\n");
nid = NID_X9_62_prime256v1;
} else
nid = OBJ_sn2nid(ecparam_config.curve_name);
if (nid == 0)
nid = EC_curve_nist2nid(ecparam_config.curve_name);
if (nid == 0) {
BIO_printf(bio_err, "unknown curve name (%s)\n",
ecparam_config.curve_name);
goto end;
}
group = EC_GROUP_new_by_curve_name(nid);
if (group == NULL) {
BIO_printf(bio_err, "unable to create curve (%s)\n",
ecparam_config.curve_name);
goto end;
}
EC_GROUP_set_asn1_flag(group, ecparam_config.asn1_flag);
EC_GROUP_set_point_conversion_form(group, ecparam_config.form);
} else if (ecparam_config.informat == FORMAT_ASN1) {
group = d2i_ECPKParameters_bio(in, NULL);
} else if (ecparam_config.informat == FORMAT_PEM) {
group = PEM_read_bio_ECPKParameters(in, NULL, NULL, NULL);
} else {
BIO_printf(bio_err, "bad input format specified\n");
goto end;
}
if (group == NULL) {
BIO_printf(bio_err,
"unable to load elliptic curve parameters\n");
ERR_print_errors(bio_err);
goto end;
}
if (ecparam_config.new_form)
EC_GROUP_set_point_conversion_form(group, ecparam_config.form);
if (ecparam_config.new_asn1_flag)
EC_GROUP_set_asn1_flag(group, ecparam_config.asn1_flag);
if (ecparam_config.no_seed)
EC_GROUP_set_seed(group, NULL, 0);
if (ecparam_config.text) {
if (!ECPKParameters_print(out, group, 0))
goto end;
}
if (ecparam_config.check) {
BIO_printf(bio_err, "checking elliptic curve parameters: ");
if (!EC_GROUP_check(group, NULL)) {
BIO_printf(bio_err, "failed\n");
ERR_print_errors(bio_err);
} else
BIO_printf(bio_err, "ok\n");
}
if (ecparam_config.C) {
size_t buf_len = 0, tmp_len = 0;
const EC_POINT *point;
int is_prime, len = 0;
const EC_METHOD *meth = EC_GROUP_method_of(group);
if ((ec_p = BN_new()) == NULL || (ec_a = BN_new()) == NULL ||
(ec_b = BN_new()) == NULL || (ec_gen = BN_new()) == NULL ||
(ec_order = BN_new()) == NULL ||
(ec_cofactor = BN_new()) == NULL) {
perror("malloc");
goto end;
}
is_prime = (EC_METHOD_get_field_type(meth) ==
NID_X9_62_prime_field);
if (is_prime) {
if (!EC_GROUP_get_curve_GFp(group, ec_p, ec_a,
ec_b, NULL))
goto end;
} else {
if (!EC_GROUP_get_curve_GF2m(group, ec_p, ec_a,
ec_b, NULL))
goto end;
}
if ((point = EC_GROUP_get0_generator(group)) == NULL)
goto end;
if (!EC_POINT_point2bn(group, point,
EC_GROUP_get_point_conversion_form(group), ec_gen,
NULL))
goto end;
if (!EC_GROUP_get_order(group, ec_order, NULL))
goto end;
if (!EC_GROUP_get_cofactor(group, ec_cofactor, NULL))
goto end;
len = BN_num_bits(ec_order);
if ((tmp_len = (size_t) BN_num_bytes(ec_p)) > buf_len)
buf_len = tmp_len;
if ((tmp_len = (size_t) BN_num_bytes(ec_a)) > buf_len)
buf_len = tmp_len;
if ((tmp_len = (size_t) BN_num_bytes(ec_b)) > buf_len)
buf_len = tmp_len;
if ((tmp_len = (size_t) BN_num_bytes(ec_gen)) > buf_len)
buf_len = tmp_len;
if ((tmp_len = (size_t) BN_num_bytes(ec_order)) > buf_len)
buf_len = tmp_len;
if ((tmp_len = (size_t) BN_num_bytes(ec_cofactor)) > buf_len)
buf_len = tmp_len;
buffer = malloc(buf_len);
if (buffer == NULL) {
perror("malloc");
goto end;
}
ecparam_print_var(out, ec_p, "ec_p", len, buffer);
ecparam_print_var(out, ec_a, "ec_a", len, buffer);
ecparam_print_var(out, ec_b, "ec_b", len, buffer);
ecparam_print_var(out, ec_gen, "ec_gen", len, buffer);
ecparam_print_var(out, ec_order, "ec_order", len, buffer);
ecparam_print_var(out, ec_cofactor, "ec_cofactor", len,
buffer);
BIO_printf(out, "\n\n");
BIO_printf(out, "EC_GROUP *get_ec_group_%d(void)\n\t{\n", len);
BIO_printf(out, "\tint ok=0;\n");
BIO_printf(out, "\tEC_GROUP *group = NULL;\n");
BIO_printf(out, "\tEC_POINT *point = NULL;\n");
BIO_printf(out, "\tBIGNUM *tmp_1 = NULL, *tmp_2 = NULL, "
"*tmp_3 = NULL;\n\n");
BIO_printf(out, "\tif ((tmp_1 = BN_bin2bn(ec_p_%d, "
"sizeof(ec_p_%d), NULL)) == NULL)\n\t\t"
"goto err;\n", len, len);
BIO_printf(out, "\tif ((tmp_2 = BN_bin2bn(ec_a_%d, "
"sizeof(ec_a_%d), NULL)) == NULL)\n\t\t"
"goto err;\n", len, len);
BIO_printf(out, "\tif ((tmp_3 = BN_bin2bn(ec_b_%d, "
"sizeof(ec_b_%d), NULL)) == NULL)\n\t\t"
"goto err;\n", len, len);
if (is_prime) {
BIO_printf(out, "\tif ((group = EC_GROUP_new_curve_"
"GFp(tmp_1, tmp_2, tmp_3, NULL)) == NULL)"
"\n\t\tgoto err;\n\n");
} else {
BIO_printf(out, "\tif ((group = EC_GROUP_new_curve_"
"GF2m(tmp_1, tmp_2, tmp_3, NULL)) == NULL)"
"\n\t\tgoto err;\n\n");
}
BIO_printf(out, "\t/* build generator */\n");
BIO_printf(out, "\tif ((tmp_1 = BN_bin2bn(ec_gen_%d, "
"sizeof(ec_gen_%d), tmp_1)) == NULL)"
"\n\t\tgoto err;\n", len, len);
BIO_printf(out, "\tpoint = EC_POINT_bn2point(group, tmp_1, "
"NULL, NULL);\n");
BIO_printf(out, "\tif (point == NULL)\n\t\tgoto err;\n");
BIO_printf(out, "\tif ((tmp_2 = BN_bin2bn(ec_order_%d, "
"sizeof(ec_order_%d), tmp_2)) == NULL)"
"\n\t\tgoto err;\n", len, len);
BIO_printf(out, "\tif ((tmp_3 = BN_bin2bn(ec_cofactor_%d, "
"sizeof(ec_cofactor_%d), tmp_3)) == NULL)"
"\n\t\tgoto err;\n", len, len);
BIO_printf(out, "\tif (!EC_GROUP_set_generator(group, point,"
" tmp_2, tmp_3))\n\t\tgoto err;\n");
BIO_printf(out, "\n\tok=1;\n");
BIO_printf(out, "err:\n");
BIO_printf(out, "\tif (tmp_1)\n\t\tBN_free(tmp_1);\n");
BIO_printf(out, "\tif (tmp_2)\n\t\tBN_free(tmp_2);\n");
BIO_printf(out, "\tif (tmp_3)\n\t\tBN_free(tmp_3);\n");
BIO_printf(out, "\tif (point)\n\t\tEC_POINT_free(point);\n");
BIO_printf(out, "\tif (!ok)\n");
BIO_printf(out, "\t\t{\n");
BIO_printf(out, "\t\tEC_GROUP_free(group);\n");
BIO_printf(out, "\t\tgroup = NULL;\n");
BIO_printf(out, "\t\t}\n");
BIO_printf(out, "\treturn(group);\n\t}\n");
}
if (!ecparam_config.noout) {
if (ecparam_config.outformat == FORMAT_ASN1)
i = i2d_ECPKParameters_bio(out, group);
else if (ecparam_config.outformat == FORMAT_PEM)
i = PEM_write_bio_ECPKParameters(out, group);
else {
BIO_printf(bio_err, "bad output format specified for"
" outfile\n");
goto end;
}
if (!i) {
BIO_printf(bio_err, "unable to write elliptic "
"curve parameters\n");
ERR_print_errors(bio_err);
goto end;
}
}
if (ecparam_config.genkey) {
EC_KEY *eckey = EC_KEY_new();
if (eckey == NULL)
goto end;
if (EC_KEY_set_group(eckey, group) == 0) {
EC_KEY_free(eckey);
goto end;
}
if (!EC_KEY_generate_key(eckey)) {
EC_KEY_free(eckey);
goto end;
}
if (ecparam_config.outformat == FORMAT_ASN1)
i = i2d_ECPrivateKey_bio(out, eckey);
else if (ecparam_config.outformat == FORMAT_PEM)
i = PEM_write_bio_ECPrivateKey(out, eckey, NULL,
NULL, 0, NULL, NULL);
else {
BIO_printf(bio_err, "bad output format specified "
"for outfile\n");
EC_KEY_free(eckey);
goto end;
}
EC_KEY_free(eckey);
}
ret = 0;
end:
BN_free(ec_p);
BN_free(ec_a);
BN_free(ec_b);
BN_free(ec_gen);
BN_free(ec_order);
BN_free(ec_cofactor);
free(buffer);
BIO_free(in);
BIO_free_all(out);
EC_GROUP_free(group);
return (ret);
}
static int
ecparam_print_var(BIO * out, BIGNUM * in, const char *var,
int len, unsigned char *buffer)
{
BIO_printf(out, "static unsigned char %s_%d[] = {", var, len);
if (BN_is_zero(in))
BIO_printf(out, "\n\t0x00");
else {
int i, l;
l = BN_bn2bin(in, buffer);
for (i = 0; i < l - 1; i++) {
if ((i % 12) == 0)
BIO_printf(out, "\n\t");
BIO_printf(out, "0x%02X,", buffer[i]);
}
if ((i % 12) == 0)
BIO_printf(out, "\n\t");
BIO_printf(out, "0x%02X", buffer[i]);
}
BIO_printf(out, "\n\t};\n\n");
return 1;
}
#endif
|