summaryrefslogtreecommitdiff
path: root/plugins/MirOTR/libgcrypt-1.4.6/cipher/elgamal.c
blob: 776d7a52c2ec567a26f5f0036062d852c359e845 (plain)
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
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
/* Elgamal.c  -  Elgamal Public Key encryption
 * Copyright (C) 1998, 2000, 2001, 2002, 2003,
 *               2008  Free Software Foundation, Inc.
 *
 * This file is part of Libgcrypt.
 *
 * Libgcrypt is free software; you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as
 * published by the Free Software Foundation; either version 2.1 of
 * the License, or (at your option) any later version.
 *
 * Libgcrypt is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this program; if not, see <http://www.gnu.org/licenses/>.
 *
 * For a description of the algorithm, see:
 *   Bruce Schneier: Applied Cryptography. John Wiley & Sons, 1996.
 *   ISBN 0-471-11709-9. Pages 476 ff.
 */

#include <config.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "g10lib.h"
#include "mpi.h"
#include "cipher.h"

typedef struct
{
  gcry_mpi_t p;	    /* prime */
  gcry_mpi_t g;	    /* group generator */
  gcry_mpi_t y;	    /* g^x mod p */
} ELG_public_key;


typedef struct
{
  gcry_mpi_t p;	    /* prime */
  gcry_mpi_t g;	    /* group generator */
  gcry_mpi_t y;	    /* g^x mod p */
  gcry_mpi_t x;	    /* secret exponent */
} ELG_secret_key;


static int test_keys (ELG_secret_key *sk, unsigned int nbits, int nodie);
static gcry_mpi_t gen_k (gcry_mpi_t p, int small_k);
static void generate (ELG_secret_key *sk, unsigned nbits, gcry_mpi_t **factors);
static int  check_secret_key (ELG_secret_key *sk);
static void do_encrypt (gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input,
                        ELG_public_key *pkey);
static void decrypt (gcry_mpi_t output, gcry_mpi_t a, gcry_mpi_t b,
                     ELG_secret_key *skey);
static void sign (gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input,
                  ELG_secret_key *skey);
static int  verify (gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input,
                    ELG_public_key *pkey);


static void (*progress_cb) (void *, const char *, int, int, int);
static void *progress_cb_data;

void
_gcry_register_pk_elg_progress (void (*cb) (void *, const char *,
                                            int, int, int),
				void *cb_data)
{
  progress_cb = cb;
  progress_cb_data = cb_data;
}


static void
progress (int c)
{
  if (progress_cb)
    progress_cb (progress_cb_data, "pk_elg", c, 0, 0);
}


/****************
 * Michael Wiener's table on subgroup sizes to match field sizes.
 * (floating around somewhere, probably based on the paper from
 * Eurocrypt 96, page 332)
 */
static unsigned int
wiener_map( unsigned int n )
{
  static struct { unsigned int p_n, q_n; } t[] =
    { /*   p	  q	 attack cost */
      {  512, 119 },	/* 9 x 10^17 */
      {  768, 145 },	/* 6 x 10^21 */
      { 1024, 165 },	/* 7 x 10^24 */
      { 1280, 183 },	/* 3 x 10^27 */
      { 1536, 198 },	/* 7 x 10^29 */
      { 1792, 212 },	/* 9 x 10^31 */
      { 2048, 225 },	/* 8 x 10^33 */
      { 2304, 237 },	/* 5 x 10^35 */
      { 2560, 249 },	/* 3 x 10^37 */
      { 2816, 259 },	/* 1 x 10^39 */
      { 3072, 269 },	/* 3 x 10^40 */
      { 3328, 279 },	/* 8 x 10^41 */
      { 3584, 288 },	/* 2 x 10^43 */
      { 3840, 296 },	/* 4 x 10^44 */
      { 4096, 305 },	/* 7 x 10^45 */
      { 4352, 313 },	/* 1 x 10^47 */
      { 4608, 320 },	/* 2 x 10^48 */
      { 4864, 328 },	/* 2 x 10^49 */
      { 5120, 335 },	/* 3 x 10^50 */
      { 0, 0 }
    };
  int i;

  for(i=0; t[i].p_n; i++ )  
    {
      if ( n <= t[i].p_n )
        return t[i].q_n;
    }
  /* Not in table - use an arbitrary high number. */
  return  n / 8 + 200;
}

static int
test_keys ( ELG_secret_key *sk, unsigned int nbits, int nodie )
{
  ELG_public_key pk;
  gcry_mpi_t test = gcry_mpi_new ( 0 );
  gcry_mpi_t out1_a = gcry_mpi_new ( nbits );
  gcry_mpi_t out1_b = gcry_mpi_new ( nbits );
  gcry_mpi_t out2 = gcry_mpi_new ( nbits );
  int failed = 0;

  pk.p = sk->p;
  pk.g = sk->g;
  pk.y = sk->y;

  gcry_mpi_randomize ( test, nbits, GCRY_WEAK_RANDOM );

  do_encrypt ( out1_a, out1_b, test, &pk );
  decrypt ( out2, out1_a, out1_b, sk );
  if ( mpi_cmp( test, out2 ) )
    failed |= 1;

  sign ( out1_a, out1_b, test, sk );
  if ( !verify( out1_a, out1_b, test, &pk ) )
    failed |= 2;

  gcry_mpi_release ( test );
  gcry_mpi_release ( out1_a );
  gcry_mpi_release ( out1_b );
  gcry_mpi_release ( out2 );

  if (failed && !nodie)
    log_fatal ("Elgamal test key for %s %s failed\n",
               (failed & 1)? "encrypt+decrypt":"",
               (failed & 2)? "sign+verify":"");
  if (failed && DBG_CIPHER) 
    log_debug ("Elgamal test key for %s %s failed\n",
               (failed & 1)? "encrypt+decrypt":"",
               (failed & 2)? "sign+verify":"");

  return failed;
}


/****************
 * Generate a random secret exponent k from prime p, so that k is
 * relatively prime to p-1.  With SMALL_K set, k will be selected for
 * better encryption performance - this must never be used signing!
 */
static gcry_mpi_t
gen_k( gcry_mpi_t p, int small_k )
{
  gcry_mpi_t k = mpi_alloc_secure( 0 );
  gcry_mpi_t temp = mpi_alloc( mpi_get_nlimbs(p) );
  gcry_mpi_t p_1 = mpi_copy(p);
  unsigned int orig_nbits = mpi_get_nbits(p);
  unsigned int nbits, nbytes;
  char *rndbuf = NULL;

  if (small_k)
    {
      /* Using a k much lesser than p is sufficient for encryption and
       * it greatly improves the encryption performance.  We use
       * Wiener's table and add a large safety margin. */
      nbits = wiener_map( orig_nbits ) * 3 / 2;
      if ( nbits >= orig_nbits )
        BUG();
    }
  else
    nbits = orig_nbits;


  nbytes = (nbits+7)/8;
  if ( DBG_CIPHER )
    log_debug("choosing a random k ");
  mpi_sub_ui( p_1, p, 1);
  for (;;) 
    {
      if ( !rndbuf || nbits < 32 ) 
        {
          gcry_free(rndbuf);
          rndbuf = gcry_random_bytes_secure( nbytes, GCRY_STRONG_RANDOM );
        }
      else
        { 
          /* Change only some of the higher bits.  We could improve
             this by directly requesting more memory at the first call
             to get_random_bytes() and use this the here maybe it is
             easier to do this directly in random.c Anyway, it is
             highly inlikely that we will ever reach this code. */
          char *pp = gcry_random_bytes_secure( 4, GCRY_STRONG_RANDOM );
          memcpy( rndbuf, pp, 4 );
          gcry_free(pp);
	}
      _gcry_mpi_set_buffer( k, rndbuf, nbytes, 0 );
        
      for (;;)
        {
          if ( !(mpi_cmp( k, p_1 ) < 0) )  /* check: k < (p-1) */
            {
              if ( DBG_CIPHER )
                progress('+');
              break; /* no  */
            }
          if ( !(mpi_cmp_ui( k, 0 ) > 0) )  /* check: k > 0 */
            {
              if ( DBG_CIPHER )
                progress('-');
              break; /* no */
            }
          if (gcry_mpi_gcd( temp, k, p_1 ))
            goto found;  /* okay, k is relative prime to (p-1) */
          mpi_add_ui( k, k, 1 );
          if ( DBG_CIPHER )
            progress('.');
	}
    }
 found:
  gcry_free(rndbuf);
  if ( DBG_CIPHER )
    progress('\n');
  mpi_free(p_1);
  mpi_free(temp);

  return k;
}

/****************
 * Generate a key pair with a key of size NBITS
 * Returns: 2 structures filled with all needed values
 *	    and an array with n-1 factors of (p-1)
 */
static void
generate ( ELG_secret_key *sk, unsigned int nbits, gcry_mpi_t **ret_factors )
{
  gcry_mpi_t p;    /* the prime */
  gcry_mpi_t p_min1;
  gcry_mpi_t g;
  gcry_mpi_t x;    /* the secret exponent */
  gcry_mpi_t y;
  unsigned int qbits;
  unsigned int xbits;
  byte *rndbuf;

  p_min1 = gcry_mpi_new ( nbits );
  qbits = wiener_map( nbits );
  if ( qbits & 1 ) /* better have a even one */
    qbits++;
  g = mpi_alloc(1);
  p = _gcry_generate_elg_prime( 0, nbits, qbits, g, ret_factors );
  mpi_sub_ui(p_min1, p, 1);


  /* Select a random number which has these properties:
   *	 0 < x < p-1
   * This must be a very good random number because this is the
   * secret part.  The prime is public and may be shared anyway,
   * so a random generator level of 1 is used for the prime.
   *
   * I don't see a reason to have a x of about the same size
   * as the p.  It should be sufficient to have one about the size
   * of q or the later used k plus a large safety margin. Decryption
   * will be much faster with such an x.
   */
  xbits = qbits * 3 / 2;
  if ( xbits >= nbits )
    BUG();
  x = gcry_mpi_snew ( xbits );
  if ( DBG_CIPHER )
    log_debug("choosing a random x of size %u", xbits );
  rndbuf = NULL;
  do 
    {
      if ( DBG_CIPHER )
        progress('.');
      if ( rndbuf )
        { /* Change only some of the higher bits */
          if ( xbits < 16 ) /* should never happen ... */
            {
              gcry_free(rndbuf);
              rndbuf = gcry_random_bytes_secure( (xbits+7)/8,
                                                 GCRY_VERY_STRONG_RANDOM );
            }
          else
            {
              char *r = gcry_random_bytes_secure( 2,
                                                  GCRY_VERY_STRONG_RANDOM );
              memcpy(rndbuf, r, 2 );
              gcry_free(r);
            }
	}
      else 
        {
          rndbuf = gcry_random_bytes_secure( (xbits+7)/8,
                                             GCRY_VERY_STRONG_RANDOM );
	}
      _gcry_mpi_set_buffer( x, rndbuf, (xbits+7)/8, 0 );
      mpi_clear_highbit( x, xbits+1 );
    } 
  while( !( mpi_cmp_ui( x, 0 )>0 && mpi_cmp( x, p_min1 )<0 ) );
  gcry_free(rndbuf);

  y = gcry_mpi_new (nbits);
  gcry_mpi_powm( y, g, x, p );

  if ( DBG_CIPHER ) 
    {
      progress('\n');
      log_mpidump("elg  p= ", p );
      log_mpidump("elg  g= ", g );
      log_mpidump("elg  y= ", y );
      log_mpidump("elg  x= ", x );
    }

  /* Copy the stuff to the key structures */
  sk->p = p;
  sk->g = g;
  sk->y = y;
  sk->x = x;

  gcry_mpi_release ( p_min1 );

  /* Now we can test our keys (this should never fail!) */
  test_keys ( sk, nbits - 64, 0 );
}


/* Generate a key pair with a key of size NBITS not using a random
   value for the secret key but the one given as X.  This is useful to
   implement a passphrase based decryption for a public key based
   encryption.  It has appliactions in backup systems.
 
   Returns: A structure filled with all needed values and an array
 	    with n-1 factors of (p-1).  */
static gcry_err_code_t
generate_using_x (ELG_secret_key *sk, unsigned int nbits, gcry_mpi_t x,
                  gcry_mpi_t **ret_factors )
{
  gcry_mpi_t p;      /* The prime.  */
  gcry_mpi_t p_min1; /* The prime minus 1.  */
  gcry_mpi_t g;      /* The generator.  */
  gcry_mpi_t y;      /* g^x mod p.  */
  unsigned int qbits;
  unsigned int xbits;

  sk->p = NULL;
  sk->g = NULL;
  sk->y = NULL;
  sk->x = NULL;

  /* Do a quick check to see whether X is suitable.  */
  xbits = mpi_get_nbits (x);
  if ( xbits < 64 || xbits >= nbits )
    return GPG_ERR_INV_VALUE;

  p_min1 = gcry_mpi_new ( nbits );
  qbits  = wiener_map ( nbits );
  if ( (qbits & 1) ) /* Better have an even one.  */
    qbits++;
  g = mpi_alloc (1);
  p = _gcry_generate_elg_prime ( 0, nbits, qbits, g, ret_factors );
  mpi_sub_ui (p_min1, p, 1);

  if (DBG_CIPHER)
    log_debug ("using a supplied x of size %u", xbits );
  if ( !(mpi_cmp_ui ( x, 0 ) > 0 && mpi_cmp ( x, p_min1 ) <0 ) )
    {
      gcry_mpi_release ( p_min1 );
      gcry_mpi_release ( p );
      gcry_mpi_release ( g );
      return GPG_ERR_INV_VALUE;
    }

  y = gcry_mpi_new (nbits);
  gcry_mpi_powm ( y, g, x, p );

  if ( DBG_CIPHER ) 
    {
      progress ('\n');
      log_mpidump ("elg  p= ", p );
      log_mpidump ("elg  g= ", g );
      log_mpidump ("elg  y= ", y );
      log_mpidump ("elg  x= ", x );
    }

  /* Copy the stuff to the key structures */
  sk->p = p;
  sk->g = g;
  sk->y = y;
  sk->x = gcry_mpi_copy (x);

  gcry_mpi_release ( p_min1 );

  /* Now we can test our keys. */
  if ( test_keys ( sk, nbits - 64, 1 ) )
    {
      gcry_mpi_release ( sk->p ); sk->p = NULL;
      gcry_mpi_release ( sk->g ); sk->g = NULL;
      gcry_mpi_release ( sk->y ); sk->y = NULL;
      gcry_mpi_release ( sk->x ); sk->x = NULL;
      return GPG_ERR_BAD_SECKEY;
    }

  return 0;
}


/****************
 * Test whether the secret key is valid.
 * Returns: if this is a valid key.
 */
static int
check_secret_key( ELG_secret_key *sk )
{
  int rc;
  gcry_mpi_t y = mpi_alloc( mpi_get_nlimbs(sk->y) );

  gcry_mpi_powm( y, sk->g, sk->x, sk->p );
  rc = !mpi_cmp( y, sk->y );
  mpi_free( y );
  return rc;
}


static void
do_encrypt(gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input, ELG_public_key *pkey )
{
  gcry_mpi_t k;

  /* Note: maybe we should change the interface, so that it
   * is possible to check that input is < p and return an
   * error code.
   */

  k = gen_k( pkey->p, 1 );
  gcry_mpi_powm( a, pkey->g, k, pkey->p );
  /* b = (y^k * input) mod p
   *	 = ((y^k mod p) * (input mod p)) mod p
   * and because input is < p
   *	 = ((y^k mod p) * input) mod p
   */
  gcry_mpi_powm( b, pkey->y, k, pkey->p );
  gcry_mpi_mulm( b, b, input, pkey->p );
#if 0
  if ( DBG_CIPHER )
    {
      log_mpidump("elg encrypted y= ", pkey->y);
      log_mpidump("elg encrypted p= ", pkey->p);
      log_mpidump("elg encrypted k= ", k);
      log_mpidump("elg encrypted M= ", input);
      log_mpidump("elg encrypted a= ", a);
      log_mpidump("elg encrypted b= ", b);
    }
#endif
  mpi_free(k);
}




static void
decrypt(gcry_mpi_t output, gcry_mpi_t a, gcry_mpi_t b, ELG_secret_key *skey )
{
  gcry_mpi_t t1 = mpi_alloc_secure( mpi_get_nlimbs( skey->p ) );

  /* output = b/(a^x) mod p */
  gcry_mpi_powm( t1, a, skey->x, skey->p );
  mpi_invm( t1, t1, skey->p );
  mpi_mulm( output, b, t1, skey->p );
#if 0
  if ( DBG_CIPHER ) 
    {
      log_mpidump("elg decrypted x= ", skey->x);
      log_mpidump("elg decrypted p= ", skey->p);
      log_mpidump("elg decrypted a= ", a);
      log_mpidump("elg decrypted b= ", b);
      log_mpidump("elg decrypted M= ", output);
    }
#endif
  mpi_free(t1);
}


/****************
 * Make an Elgamal signature out of INPUT
 */

static void
sign(gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input, ELG_secret_key *skey )
{
    gcry_mpi_t k;
    gcry_mpi_t t   = mpi_alloc( mpi_get_nlimbs(a) );
    gcry_mpi_t inv = mpi_alloc( mpi_get_nlimbs(a) );
    gcry_mpi_t p_1 = mpi_copy(skey->p);

   /*
    * b = (t * inv) mod (p-1)
    * b = (t * inv(k,(p-1),(p-1)) mod (p-1)
    * b = (((M-x*a) mod (p-1)) * inv(k,(p-1),(p-1))) mod (p-1)
    *
    */
    mpi_sub_ui(p_1, p_1, 1);
    k = gen_k( skey->p, 0 /* no small K ! */ );
    gcry_mpi_powm( a, skey->g, k, skey->p );
    mpi_mul(t, skey->x, a );
    mpi_subm(t, input, t, p_1 );
    mpi_invm(inv, k, p_1 );
    mpi_mulm(b, t, inv, p_1 );

#if 0
    if ( DBG_CIPHER ) 
      {
	log_mpidump("elg sign p= ", skey->p);
	log_mpidump("elg sign g= ", skey->g);
	log_mpidump("elg sign y= ", skey->y);
	log_mpidump("elg sign x= ", skey->x);
	log_mpidump("elg sign k= ", k);
	log_mpidump("elg sign M= ", input);
	log_mpidump("elg sign a= ", a);
	log_mpidump("elg sign b= ", b);
      }
#endif
    mpi_free(k);
    mpi_free(t);
    mpi_free(inv);
    mpi_free(p_1);
}


/****************
 * Returns true if the signature composed of A and B is valid.
 */
static int
verify(gcry_mpi_t a, gcry_mpi_t b, gcry_mpi_t input, ELG_public_key *pkey )
{
  int rc;
  gcry_mpi_t t1;
  gcry_mpi_t t2;
  gcry_mpi_t base[4];
  gcry_mpi_t ex[4];

  if ( !(mpi_cmp_ui( a, 0 ) > 0 && mpi_cmp( a, pkey->p ) < 0) )
    return 0; /* assertion	0 < a < p  failed */

  t1 = mpi_alloc( mpi_get_nlimbs(a) );
  t2 = mpi_alloc( mpi_get_nlimbs(a) );

#if 0
  /* t1 = (y^a mod p) * (a^b mod p) mod p */
  gcry_mpi_powm( t1, pkey->y, a, pkey->p );
  gcry_mpi_powm( t2, a, b, pkey->p );
  mpi_mulm( t1, t1, t2, pkey->p );

  /* t2 = g ^ input mod p */
  gcry_mpi_powm( t2, pkey->g, input, pkey->p );

  rc = !mpi_cmp( t1, t2 );
#elif 0
  /* t1 = (y^a mod p) * (a^b mod p) mod p */
  base[0] = pkey->y; ex[0] = a;
  base[1] = a;       ex[1] = b;
  base[2] = NULL;    ex[2] = NULL;
  mpi_mulpowm( t1, base, ex, pkey->p );

  /* t2 = g ^ input mod p */
  gcry_mpi_powm( t2, pkey->g, input, pkey->p );

  rc = !mpi_cmp( t1, t2 );
#else
  /* t1 = g ^ - input * y ^ a * a ^ b  mod p */
  mpi_invm(t2, pkey->g, pkey->p );
  base[0] = t2     ; ex[0] = input;
  base[1] = pkey->y; ex[1] = a;
  base[2] = a;       ex[2] = b;
  base[3] = NULL;    ex[3] = NULL;
  mpi_mulpowm( t1, base, ex, pkey->p );
  rc = !mpi_cmp_ui( t1, 1 );

#endif

  mpi_free(t1);
  mpi_free(t2);
  return rc;
}

/*********************************************
 **************  interface  ******************
 *********************************************/

static gpg_err_code_t
elg_generate_ext (int algo, unsigned int nbits, unsigned long evalue,
                  const gcry_sexp_t genparms,
                  gcry_mpi_t *skey, gcry_mpi_t **retfactors,
                  gcry_sexp_t *r_extrainfo)
{
  gpg_err_code_t ec;
  ELG_secret_key sk;
  gcry_mpi_t xvalue = NULL;
  gcry_sexp_t l1;

  (void)algo;
  (void)evalue;
  (void)r_extrainfo;

  if (genparms)
    {
      /* Parse the optional xvalue element. */
      l1 = gcry_sexp_find_token (genparms, "xvalue", 0);
      if (l1)
        {
          xvalue = gcry_sexp_nth_mpi (l1, 1, 0);
          gcry_sexp_release (l1);
          if (!xvalue)
            return GPG_ERR_BAD_MPI;
        }
    }

  if (xvalue)
    ec = generate_using_x (&sk, nbits, xvalue, retfactors);
  else
    {
      generate (&sk, nbits, retfactors);
      ec = 0;
    }

  skey[0] = sk.p;
  skey[1] = sk.g;
  skey[2] = sk.y;
  skey[3] = sk.x;
  
  return ec;
}


static gcry_err_code_t
elg_generate (int algo, unsigned int nbits, unsigned long evalue,
              gcry_mpi_t *skey, gcry_mpi_t **retfactors)
{
  ELG_secret_key sk;

  (void)algo;
  (void)evalue;

  generate (&sk, nbits, retfactors);
  skey[0] = sk.p;
  skey[1] = sk.g;
  skey[2] = sk.y;
  skey[3] = sk.x;
  
  return GPG_ERR_NO_ERROR;
}


static gcry_err_code_t
elg_check_secret_key (int algo, gcry_mpi_t *skey)
{
  gcry_err_code_t err = GPG_ERR_NO_ERROR;
  ELG_secret_key sk;

  (void)algo;

  if ((! skey[0]) || (! skey[1]) || (! skey[2]) || (! skey[3]))
    err = GPG_ERR_BAD_MPI;
  else
    {
      sk.p = skey[0];
      sk.g = skey[1];
      sk.y = skey[2];
      sk.x = skey[3];
      
      if (! check_secret_key (&sk))
	err = GPG_ERR_BAD_SECKEY;
    }

  return err;
}


static gcry_err_code_t
elg_encrypt (int algo, gcry_mpi_t *resarr,
             gcry_mpi_t data, gcry_mpi_t *pkey, int flags)
{
  gcry_err_code_t err = GPG_ERR_NO_ERROR;
  ELG_public_key pk;

  (void)algo;
  (void)flags;

  if ((! data) || (! pkey[0]) || (! pkey[1]) || (! pkey[2]))
    err = GPG_ERR_BAD_MPI;
  else
    {
      pk.p = pkey[0];
      pk.g = pkey[1];
      pk.y = pkey[2];
      resarr[0] = mpi_alloc (mpi_get_nlimbs (pk.p));
      resarr[1] = mpi_alloc (mpi_get_nlimbs (pk.p));
      do_encrypt (resarr[0], resarr[1], data, &pk);
    }
  return err;
}


static gcry_err_code_t
elg_decrypt (int algo, gcry_mpi_t *result,
             gcry_mpi_t *data, gcry_mpi_t *skey, int flags)
{
  gcry_err_code_t err = GPG_ERR_NO_ERROR;
  ELG_secret_key sk;

  (void)algo;
  (void)flags;

  if ((! data[0]) || (! data[1])
      || (! skey[0]) || (! skey[1]) || (! skey[2]) || (! skey[3]))
    err = GPG_ERR_BAD_MPI;
  else
    {
      sk.p = skey[0];
      sk.g = skey[1];
      sk.y = skey[2];
      sk.x = skey[3];
      *result = mpi_alloc_secure (mpi_get_nlimbs (sk.p));
      decrypt (*result, data[0], data[1], &sk);
    }
  return err;
}


static gcry_err_code_t
elg_sign (int algo, gcry_mpi_t *resarr, gcry_mpi_t data, gcry_mpi_t *skey)
{
  gcry_err_code_t err = GPG_ERR_NO_ERROR;
  ELG_secret_key sk;

  (void)algo;

  if ((! data)
      || (! skey[0]) || (! skey[1]) || (! skey[2]) || (! skey[3]))
    err = GPG_ERR_BAD_MPI;
  else
    {
      sk.p = skey[0];
      sk.g = skey[1];
      sk.y = skey[2];
      sk.x = skey[3];
      resarr[0] = mpi_alloc (mpi_get_nlimbs (sk.p));
      resarr[1] = mpi_alloc (mpi_get_nlimbs (sk.p));
      sign (resarr[0], resarr[1], data, &sk);
    }
  
  return err;
}


static gcry_err_code_t
elg_verify (int algo, gcry_mpi_t hash, gcry_mpi_t *data, gcry_mpi_t *pkey,
            int (*cmp) (void *, gcry_mpi_t), void *opaquev)
{
  gcry_err_code_t err = GPG_ERR_NO_ERROR;
  ELG_public_key pk;

  (void)algo;
  (void)cmp;
  (void)opaquev;

  if ((! data[0]) || (! data[1]) || (! hash)
      || (! pkey[0]) || (! pkey[1]) || (! pkey[2]))
    err = GPG_ERR_BAD_MPI;
  else
    {
      pk.p = pkey[0];
      pk.g = pkey[1];
      pk.y = pkey[2];
      if (! verify (data[0], data[1], hash, &pk))
	err = GPG_ERR_BAD_SIGNATURE;
    }

  return err;
}


static unsigned int
elg_get_nbits (int algo, gcry_mpi_t *pkey)
{
  (void)algo;

  return mpi_get_nbits (pkey[0]);
}


static const char *elg_names[] =
  {
    "elg",
    "openpgp-elg",
    "openpgp-elg-sig",
    NULL,
  };


gcry_pk_spec_t _gcry_pubkey_spec_elg =
  {
    "ELG", elg_names,
    "pgy", "pgyx", "ab", "rs", "pgy",
    GCRY_PK_USAGE_SIGN | GCRY_PK_USAGE_ENCR,
    elg_generate,
    elg_check_secret_key,
    elg_encrypt,
    elg_decrypt,
    elg_sign,
    elg_verify,
    elg_get_nbits
  };

pk_extra_spec_t _gcry_pubkey_extraspec_elg = 
  {
    NULL,
    elg_generate_ext,
    NULL
  };