LCOV - code coverage report
Current view: top level - cipher - rsa.c (source / functions) Hit Total Coverage
Test: coverage.info Lines: 559 872 64.1 %
Date: 2017-03-02 16:44:37 Functions: 23 24 95.8 %

          Line data    Source code
       1             : /* rsa.c - RSA implementation
       2             :  * Copyright (C) 1997, 1998, 1999 by Werner Koch (dd9jn)
       3             :  * Copyright (C) 2000, 2001, 2002, 2003, 2008 Free Software Foundation, Inc.
       4             :  *
       5             :  * This file is part of Libgcrypt.
       6             :  *
       7             :  * Libgcrypt is free software; you can redistribute it and/or modify
       8             :  * it under the terms of the GNU Lesser General Public License as
       9             :  * published by the Free Software Foundation; either version 2.1 of
      10             :  * the License, or (at your option) any later version.
      11             :  *
      12             :  * Libgcrypt is distributed in the hope that it will be useful,
      13             :  * but WITHOUT ANY WARRANTY; without even the implied warranty of
      14             :  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      15             :  * GNU Lesser General Public License for more details.
      16             :  *
      17             :  * You should have received a copy of the GNU Lesser General Public
      18             :  * License along with this program; if not, see <http://www.gnu.org/licenses/>.
      19             :  */
      20             : 
      21             : /* This code uses an algorithm protected by U.S. Patent #4,405,829
      22             :    which expired on September 20, 2000.  The patent holder placed that
      23             :    patent into the public domain on Sep 6th, 2000.
      24             : */
      25             : 
      26             : #include <config.h>
      27             : #include <stdio.h>
      28             : #include <stdlib.h>
      29             : #include <string.h>
      30             : #include <errno.h>
      31             : 
      32             : #include "g10lib.h"
      33             : #include "mpi.h"
      34             : #include "cipher.h"
      35             : #include "pubkey-internal.h"
      36             : 
      37             : 
      38             : typedef struct
      39             : {
      40             :   gcry_mpi_t n;     /* modulus */
      41             :   gcry_mpi_t e;     /* exponent */
      42             : } RSA_public_key;
      43             : 
      44             : 
      45             : typedef struct
      46             : {
      47             :   gcry_mpi_t n;     /* public modulus */
      48             :   gcry_mpi_t e;     /* public exponent */
      49             :   gcry_mpi_t d;     /* exponent */
      50             :   gcry_mpi_t p;     /* prime  p. */
      51             :   gcry_mpi_t q;     /* prime  q. */
      52             :   gcry_mpi_t u;     /* inverse of p mod q. */
      53             : } RSA_secret_key;
      54             : 
      55             : 
      56             : static const char *rsa_names[] =
      57             :   {
      58             :     "rsa",
      59             :     "openpgp-rsa",
      60             :     "oid.1.2.840.113549.1.1.1",
      61             :     NULL,
      62             :   };
      63             : 
      64             : 
      65             : /* A sample 2048 bit RSA key used for the selftests.  */
      66             : static const char sample_secret_key[] =
      67             : " (private-key"
      68             : "  (rsa"
      69             : "  (n #009F56231A3D82E3E7D613D59D53E9AB921BEF9F08A782AED0B6E46ADBC853EC"
      70             : "      7C71C422435A3CD8FA0DB9EFD55CD3295BADC4E8E2E2B94E15AE82866AB8ADE8"
      71             : "      7E469FAE76DC3577DE87F1F419C4EB41123DFAF8D16922D5EDBAD6E9076D5A1C"
      72             : "      958106F0AE5E2E9193C6B49124C64C2A241C4075D4AF16299EB87A6585BAE917"
      73             : "      DEF27FCDD165764D069BC18D16527B29DAAB549F7BBED4A7C6A842D203ED6613"
      74             : "      6E2411744E432CD26D940132F25874483DCAEECDFD95744819CBCF1EA810681C"
      75             : "      42907EBCB1C7EAFBE75C87EC32C5413EA10476545D3FC7B2ADB1B66B7F200918"
      76             : "      664B0E5261C2895AA28B0DE321E921B3F877172CCCAB81F43EF98002916156F6CB#)"
      77             : "   (e #010001#)"
      78             : "   (d #07EF82500C403899934FE993AC5A36F14FF2DF38CF1EF315F205EE4C83EDAA19"
      79             : "       8890FC23DE9AA933CAFB37B6A8A8DBA675411958337287310D3FF2F1DDC0CB93"
      80             : "       7E70F57F75F833C021852B631D2B9A520E4431A03C5C3FCB5742DCD841D9FB12"
      81             : "       771AA1620DCEC3F1583426066ED9DC3F7028C5B59202C88FDF20396E2FA0EC4F"
      82             : "       5A22D9008F3043673931BC14A5046D6327398327900867E39CC61B2D1AFE2F48"
      83             : "       EC8E1E3861C68D257D7425F4E6F99ABD77D61F10CA100EFC14389071831B33DD"
      84             : "       69CC8EABEF860D1DC2AAA84ABEAE5DFC91BC124DAF0F4C8EF5BBEA436751DE84"
      85             : "       3A8063E827A024466F44C28614F93B0732A100D4A0D86D532FE1E22C7725E401#)"
      86             : "   (p #00C29D438F115825779631CD665A5739367F3E128ADC29766483A46CA80897E0"
      87             : "       79B32881860B8F9A6A04C2614A904F6F2578DAE13EA67CD60AE3D0AA00A1FF9B"
      88             : "       441485E44B2DC3D0B60260FBFE073B5AC72FAF67964DE15C8212C389D20DB9CF"
      89             : "       54AF6AEF5C4196EAA56495DD30CF709F499D5AB30CA35E086C2A1589D6283F1783#)"
      90             : "   (q #00D1984135231CB243FE959C0CBEF551EDD986AD7BEDF71EDF447BE3DA27AF46"
      91             : "       79C974A6FA69E4D52FE796650623DE70622862713932AA2FD9F2EC856EAEAA77"
      92             : "       88B4EA6084DC81C902F014829B18EA8B2666EC41586818E0589E18876065F97E"
      93             : "       8D22CE2DA53A05951EC132DCEF41E70A9C35F4ACC268FFAC2ADF54FA1DA110B919#)"
      94             : "   (u #67CF0FD7635205DD80FA814EE9E9C267C17376BF3209FB5D1BC42890D2822A04"
      95             : "       479DAF4D5B6ED69D0F8D1AF94164D07F8CD52ECEFE880641FA0F41DDAB1785E4"
      96             : "       A37A32F997A516480B4CD4F6482B9466A1765093ED95023CA32D5EDC1E34CEE9"
      97             : "       AF595BC51FE43C4BF810FA225AF697FB473B83815966188A4312C048B885E3F7#)))";
      98             : 
      99             : /* A sample 2048 bit RSA key used for the selftests (public only).  */
     100             : static const char sample_public_key[] =
     101             : " (public-key"
     102             : "  (rsa"
     103             : "   (n #009F56231A3D82E3E7D613D59D53E9AB921BEF9F08A782AED0B6E46ADBC853EC"
     104             : "       7C71C422435A3CD8FA0DB9EFD55CD3295BADC4E8E2E2B94E15AE82866AB8ADE8"
     105             : "       7E469FAE76DC3577DE87F1F419C4EB41123DFAF8D16922D5EDBAD6E9076D5A1C"
     106             : "       958106F0AE5E2E9193C6B49124C64C2A241C4075D4AF16299EB87A6585BAE917"
     107             : "       DEF27FCDD165764D069BC18D16527B29DAAB549F7BBED4A7C6A842D203ED6613"
     108             : "       6E2411744E432CD26D940132F25874483DCAEECDFD95744819CBCF1EA810681C"
     109             : "       42907EBCB1C7EAFBE75C87EC32C5413EA10476545D3FC7B2ADB1B66B7F200918"
     110             : "       664B0E5261C2895AA28B0DE321E921B3F877172CCCAB81F43EF98002916156F6CB#)"
     111             : "   (e #010001#)))";
     112             : 
     113             : 
     114             : static int test_keys (RSA_secret_key *sk, unsigned nbits);
     115             : static int  check_secret_key (RSA_secret_key *sk);
     116             : static void public (gcry_mpi_t output, gcry_mpi_t input, RSA_public_key *skey);
     117             : static void secret (gcry_mpi_t output, gcry_mpi_t input, RSA_secret_key *skey);
     118             : static unsigned int rsa_get_nbits (gcry_sexp_t parms);
     119             : 
     120             : 
     121             : /* Check that a freshly generated key actually works.  Returns 0 on success. */
     122             : static int
     123          39 : test_keys (RSA_secret_key *sk, unsigned int nbits)
     124             : {
     125          39 :   int result = -1; /* Default to failure.  */
     126             :   RSA_public_key pk;
     127          39 :   gcry_mpi_t plaintext = mpi_new (nbits);
     128          39 :   gcry_mpi_t ciphertext = mpi_new (nbits);
     129          39 :   gcry_mpi_t decr_plaintext = mpi_new (nbits);
     130          39 :   gcry_mpi_t signature = mpi_new (nbits);
     131             : 
     132             :   /* Put the relevant parameters into a public key structure.  */
     133          39 :   pk.n = sk->n;
     134          39 :   pk.e = sk->e;
     135             : 
     136             :   /* Create a random plaintext.  */
     137          39 :   _gcry_mpi_randomize (plaintext, nbits, GCRY_WEAK_RANDOM);
     138             : 
     139             :   /* Encrypt using the public key.  */
     140          39 :   public (ciphertext, plaintext, &pk);
     141             : 
     142             :   /* Check that the cipher text does not match the plaintext.  */
     143          39 :   if (!mpi_cmp (ciphertext, plaintext))
     144           0 :     goto leave; /* Ciphertext is identical to the plaintext.  */
     145             : 
     146             :   /* Decrypt using the secret key.  */
     147          39 :   secret (decr_plaintext, ciphertext, sk);
     148             : 
     149             :   /* Check that the decrypted plaintext matches the original plaintext.  */
     150          39 :   if (mpi_cmp (decr_plaintext, plaintext))
     151           0 :     goto leave; /* Plaintext does not match.  */
     152             : 
     153             :   /* Create another random plaintext as data for signature checking.  */
     154          39 :   _gcry_mpi_randomize (plaintext, nbits, GCRY_WEAK_RANDOM);
     155             : 
     156             :   /* Use the RSA secret function to create a signature of the plaintext.  */
     157          39 :   secret (signature, plaintext, sk);
     158             : 
     159             :   /* Use the RSA public function to verify this signature.  */
     160          39 :   public (decr_plaintext, signature, &pk);
     161          39 :   if (mpi_cmp (decr_plaintext, plaintext))
     162           0 :     goto leave; /* Signature does not match.  */
     163             : 
     164             :   /* Modify the signature and check that the signing fails.  */
     165          39 :   mpi_add_ui (signature, signature, 1);
     166          39 :   public (decr_plaintext, signature, &pk);
     167          39 :   if (!mpi_cmp (decr_plaintext, plaintext))
     168           0 :     goto leave; /* Signature matches but should not.  */
     169             : 
     170          39 :   result = 0; /* All tests succeeded.  */
     171             : 
     172             :  leave:
     173          39 :   _gcry_mpi_release (signature);
     174          39 :   _gcry_mpi_release (decr_plaintext);
     175          39 :   _gcry_mpi_release (ciphertext);
     176          39 :   _gcry_mpi_release (plaintext);
     177          39 :   return result;
     178             : }
     179             : 
     180             : 
     181             : /* Callback used by the prime generation to test whether the exponent
     182             :    is suitable. Returns 0 if the test has been passed. */
     183             : static int
     184          64 : check_exponent (void *arg, gcry_mpi_t a)
     185             : {
     186          64 :   gcry_mpi_t e = arg;
     187             :   gcry_mpi_t tmp;
     188             :   int result;
     189             : 
     190          64 :   mpi_sub_ui (a, a, 1);
     191          64 :   tmp = _gcry_mpi_alloc_like (a);
     192          64 :   result = !mpi_gcd(tmp, e, a); /* GCD is not 1. */
     193          64 :   _gcry_mpi_release (tmp);
     194          64 :   mpi_add_ui (a, a, 1);
     195          64 :   return result;
     196             : }
     197             : 
     198             : /****************
     199             :  * Generate a key pair with a key of size NBITS.
     200             :  * USE_E = 0 let Libcgrypt decide what exponent to use.
     201             :  *       = 1 request the use of a "secure" exponent; this is required by some
     202             :  *           specification to be 65537.
     203             :  *       > 2 Use this public exponent.  If the given exponent
     204             :  *           is not odd one is internally added to it.
     205             :  * TRANSIENT_KEY:  If true, generate the primes using the standard RNG.
     206             :  * Returns: 2 structures filled with all needed values
     207             :  */
     208             : static gpg_err_code_t
     209          33 : generate_std (RSA_secret_key *sk, unsigned int nbits, unsigned long use_e,
     210             :               int transient_key)
     211             : {
     212             :   gcry_mpi_t p, q; /* the two primes */
     213             :   gcry_mpi_t d;    /* the private key */
     214             :   gcry_mpi_t u;
     215             :   gcry_mpi_t t1, t2;
     216             :   gcry_mpi_t n;    /* the public key */
     217             :   gcry_mpi_t e;    /* the exponent */
     218             :   gcry_mpi_t phi;  /* helper: (p-1)(q-1) */
     219             :   gcry_mpi_t g;
     220             :   gcry_mpi_t f;
     221             :   gcry_random_level_t random_level;
     222             : 
     223          33 :   if (fips_mode ())
     224             :     {
     225           0 :       if (nbits < 1024)
     226           0 :         return GPG_ERR_INV_VALUE;
     227           0 :       if (transient_key)
     228           0 :         return GPG_ERR_INV_VALUE;
     229             :     }
     230             : 
     231             :   /* The random quality depends on the transient_key flag.  */
     232          33 :   random_level = transient_key ? GCRY_STRONG_RANDOM : GCRY_VERY_STRONG_RANDOM;
     233             : 
     234             :   /* Make sure that nbits is even so that we generate p, q of equal size. */
     235          33 :   if ( (nbits&1) )
     236           0 :     nbits++;
     237             : 
     238          33 :   if (use_e == 1)   /* Alias for a secure value */
     239           0 :     use_e = 65537;  /* as demanded by Sphinx. */
     240             : 
     241             :   /* Public exponent:
     242             :      In general we use 41 as this is quite fast and more secure than the
     243             :      commonly used 17.  Benchmarking the RSA verify function
     244             :      with a 1024 bit key yields (2001-11-08):
     245             :      e=17    0.54 ms
     246             :      e=41    0.75 ms
     247             :      e=257   0.95 ms
     248             :      e=65537 1.80 ms
     249             :   */
     250          33 :   e = mpi_alloc( (32+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB );
     251          33 :   if (!use_e)
     252           1 :     mpi_set_ui (e, 41);     /* This is a reasonable secure and fast value */
     253             :   else
     254             :     {
     255          32 :       use_e |= 1; /* make sure this is odd */
     256          32 :       mpi_set_ui (e, use_e);
     257             :     }
     258             : 
     259          33 :   n = mpi_new (nbits);
     260             : 
     261          33 :   p = q = NULL;
     262             :   do
     263             :     {
     264             :       /* select two (very secret) primes */
     265          33 :       if (p)
     266           0 :         _gcry_mpi_release (p);
     267          33 :       if (q)
     268           0 :         _gcry_mpi_release (q);
     269          33 :       if (use_e)
     270             :         { /* Do an extra test to ensure that the given exponent is
     271             :              suitable. */
     272          32 :           p = _gcry_generate_secret_prime (nbits/2, random_level,
     273             :                                            check_exponent, e);
     274          32 :           q = _gcry_generate_secret_prime (nbits/2, random_level,
     275             :                                            check_exponent, e);
     276             :         }
     277             :       else
     278             :         { /* We check the exponent later. */
     279           1 :           p = _gcry_generate_secret_prime (nbits/2, random_level, NULL, NULL);
     280           1 :           q = _gcry_generate_secret_prime (nbits/2, random_level, NULL, NULL);
     281             :         }
     282          33 :       if (mpi_cmp (p, q) > 0 ) /* p shall be smaller than q (for calc of u)*/
     283          15 :         mpi_swap(p,q);
     284             :       /* calculate the modulus */
     285          33 :       mpi_mul( n, p, q );
     286             :     }
     287          33 :   while ( mpi_get_nbits(n) != nbits );
     288             : 
     289             :   /* calculate Euler totient: phi = (p-1)(q-1) */
     290          33 :   t1 = mpi_alloc_secure( mpi_get_nlimbs(p) );
     291          33 :   t2 = mpi_alloc_secure( mpi_get_nlimbs(p) );
     292          33 :   phi   = mpi_snew ( nbits );
     293          33 :   g     = mpi_snew ( nbits );
     294          33 :   f     = mpi_snew ( nbits );
     295          33 :   mpi_sub_ui( t1, p, 1 );
     296          33 :   mpi_sub_ui( t2, q, 1 );
     297          33 :   mpi_mul( phi, t1, t2 );
     298          33 :   mpi_gcd (g, t1, t2);
     299          33 :   mpi_fdiv_q(f, phi, g);
     300             : 
     301          66 :   while (!mpi_gcd(t1, e, phi)) /* (while gcd is not 1) */
     302             :     {
     303           0 :       if (use_e)
     304           0 :         BUG (); /* The prime generator already made sure that we
     305             :                    never can get to here. */
     306           0 :       mpi_add_ui (e, e, 2);
     307             :     }
     308             : 
     309             :   /* calculate the secret key d = e^1 mod phi */
     310          33 :   d = mpi_snew ( nbits );
     311          33 :   mpi_invm (d, e, f );
     312             :   /* calculate the inverse of p and q (used for chinese remainder theorem)*/
     313          33 :   u = mpi_snew ( nbits );
     314          33 :   mpi_invm(u, p, q );
     315             : 
     316          33 :   if( DBG_CIPHER )
     317             :     {
     318           0 :       log_mpidump("  p= ", p );
     319           0 :       log_mpidump("  q= ", q );
     320           0 :       log_mpidump("phi= ", phi );
     321           0 :       log_mpidump("  g= ", g );
     322           0 :       log_mpidump("  f= ", f );
     323           0 :       log_mpidump("  n= ", n );
     324           0 :       log_mpidump("  e= ", e );
     325           0 :       log_mpidump("  d= ", d );
     326           0 :       log_mpidump("  u= ", u );
     327             :     }
     328             : 
     329          33 :   _gcry_mpi_release (t1);
     330          33 :   _gcry_mpi_release (t2);
     331          33 :   _gcry_mpi_release (phi);
     332          33 :   _gcry_mpi_release (f);
     333          33 :   _gcry_mpi_release (g);
     334             : 
     335          33 :   sk->n = n;
     336          33 :   sk->e = e;
     337          33 :   sk->p = p;
     338          33 :   sk->q = q;
     339          33 :   sk->d = d;
     340          33 :   sk->u = u;
     341             : 
     342             :   /* Now we can test our keys. */
     343          33 :   if (test_keys (sk, nbits - 64))
     344             :     {
     345           0 :       _gcry_mpi_release (sk->n); sk->n = NULL;
     346           0 :       _gcry_mpi_release (sk->e); sk->e = NULL;
     347           0 :       _gcry_mpi_release (sk->p); sk->p = NULL;
     348           0 :       _gcry_mpi_release (sk->q); sk->q = NULL;
     349           0 :       _gcry_mpi_release (sk->d); sk->d = NULL;
     350           0 :       _gcry_mpi_release (sk->u); sk->u = NULL;
     351           0 :       fips_signal_error ("self-test after key generation failed");
     352           0 :       return GPG_ERR_SELFTEST_FAILED;
     353             :     }
     354             : 
     355          33 :   return 0;
     356             : }
     357             : 
     358             : 
     359             : /****************
     360             :  * Generate a key pair with a key of size NBITS.
     361             :  * USE_E = 0 let Libcgrypt decide what exponent to use.
     362             :  *       = 1 request the use of a "secure" exponent; this is required by some
     363             :  *           specification to be 65537.
     364             :  *       > 2 Use this public exponent.  If the given exponent
     365             :  *           is not odd one is internally added to it.
     366             :  * TESTPARMS: If set, do not generate but test whether the p,q is probably prime
     367             :  *            Returns key with zeroes to not break code calling this function.
     368             :  * TRANSIENT_KEY:  If true, generate the primes using the standard RNG.
     369             :  * Returns: 2 structures filled with all needed values
     370             :  */
     371             : static gpg_err_code_t
     372           0 : generate_fips (RSA_secret_key *sk, unsigned int nbits, unsigned long use_e,
     373             :                gcry_sexp_t testparms, int transient_key)
     374             : {
     375             :   gcry_mpi_t p, q; /* the two primes */
     376             :   gcry_mpi_t d;    /* the private key */
     377             :   gcry_mpi_t u;
     378             :   gcry_mpi_t p1, q1;
     379             :   gcry_mpi_t n;    /* the public key */
     380             :   gcry_mpi_t e;    /* the exponent */
     381             :   gcry_mpi_t g;
     382             :   gcry_mpi_t minp;
     383             :   gcry_mpi_t diff, mindiff;
     384             :   gcry_random_level_t random_level;
     385           0 :   unsigned int pbits = nbits/2;
     386             :   unsigned int i;
     387             :   int pqswitch;
     388           0 :   gpg_err_code_t ec = GPG_ERR_NO_PRIME;
     389             : 
     390           0 :   if (nbits < 1024 || (nbits & 0x1FF))
     391           0 :     return GPG_ERR_INV_VALUE;
     392           0 :   if (_gcry_enforced_fips_mode() && nbits != 2048 && nbits != 3072)
     393           0 :       return GPG_ERR_INV_VALUE;
     394             : 
     395             :   /* The random quality depends on the transient_key flag.  */
     396           0 :   random_level = transient_key ? GCRY_STRONG_RANDOM : GCRY_VERY_STRONG_RANDOM;
     397             : 
     398           0 :   if (testparms)
     399             :     {
     400             :       /* Parameters to derive the key are given.  */
     401             :       /* Note that we explicitly need to setup the values of tbl
     402             :          because some compilers (e.g. OpenWatcom, IRIX) don't allow to
     403             :          initialize a structure with automatic variables.  */
     404           0 :       struct { const char *name; gcry_mpi_t *value; } tbl[] = {
     405             :         { "e" },
     406             :         { "p" },
     407             :         { "q" },
     408             :         { NULL }
     409             :       };
     410             :       int idx;
     411             :       gcry_sexp_t oneparm;
     412             : 
     413           0 :       tbl[0].value = &e;
     414           0 :       tbl[1].value = &p;
     415           0 :       tbl[2].value = &q;
     416             : 
     417           0 :       for (idx=0; tbl[idx].name; idx++)
     418             :         {
     419           0 :           oneparm = sexp_find_token (testparms, tbl[idx].name, 0);
     420           0 :           if (oneparm)
     421             :             {
     422           0 :               *tbl[idx].value = sexp_nth_mpi (oneparm, 1, GCRYMPI_FMT_USG);
     423           0 :               sexp_release (oneparm);
     424             :             }
     425             :         }
     426           0 :       for (idx=0; tbl[idx].name; idx++)
     427           0 :         if (!*tbl[idx].value)
     428           0 :           break;
     429           0 :       if (tbl[idx].name)
     430             :         {
     431             :           /* At least one parameter is missing.  */
     432           0 :           for (idx=0; tbl[idx].name; idx++)
     433           0 :             _gcry_mpi_release (*tbl[idx].value);
     434           0 :           return GPG_ERR_MISSING_VALUE;
     435             :         }
     436             :     }
     437             :   else
     438             :     {
     439           0 :       if (use_e < 65537)
     440           0 :         use_e = 65537;  /* This is the smallest value allowed by FIPS */
     441             : 
     442           0 :       e = mpi_alloc ((32+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB);
     443             : 
     444           0 :       use_e |= 1; /* make sure this is odd */
     445           0 :       mpi_set_ui (e, use_e);
     446             : 
     447           0 :       p = mpi_snew (pbits);
     448           0 :       q = mpi_snew (pbits);
     449             :     }
     450             : 
     451           0 :   n = mpi_new (nbits);
     452           0 :   d = mpi_snew (nbits);
     453           0 :   u = mpi_snew (nbits);
     454             : 
     455             :   /* prepare approximate minimum p and q */
     456           0 :   minp = mpi_new (pbits);
     457           0 :   mpi_set_ui (minp, 0xB504F334);
     458           0 :   mpi_lshift (minp, minp, pbits - 32);
     459             : 
     460             :   /* prepare minimum p and q difference */
     461           0 :   diff = mpi_new (pbits);
     462           0 :   mindiff = mpi_new (pbits - 99);
     463           0 :   mpi_set_ui (mindiff, 1);
     464           0 :   mpi_lshift (mindiff, mindiff, pbits - 100);
     465             : 
     466           0 :   p1 = mpi_snew (pbits);
     467           0 :   q1 = mpi_snew (pbits);
     468           0 :   g  = mpi_snew (pbits);
     469             : 
     470             :  retry:
     471             :   /* generate p and q */
     472           0 :   for (i = 0; i < 5 * pbits; i++)
     473             :     {
     474             :     ploop:
     475           0 :       if (!testparms)
     476             :         {
     477           0 :           _gcry_mpi_randomize (p, pbits, random_level);
     478             :         }
     479           0 :       if (mpi_cmp (p, minp) < 0)
     480             :         {
     481           0 :           if (testparms)
     482           0 :             goto err;
     483           0 :           goto ploop;
     484             :         }
     485             : 
     486           0 :       mpi_sub_ui (p1, p, 1);
     487           0 :       if (mpi_gcd (g, p1, e))
     488             :         {
     489           0 :           if (_gcry_fips186_4_prime_check (p, pbits) != GPG_ERR_NO_ERROR)
     490             :             {
     491             :               /* not a prime */
     492           0 :               if (testparms)
     493           0 :                 goto err;
     494             :             }
     495             :           else
     496           0 :             break;
     497             :         }
     498           0 :       else if (testparms)
     499           0 :         goto err;
     500             :     }
     501           0 :   if (i >= 5 * pbits)
     502           0 :     goto err;
     503             : 
     504           0 :   for (i = 0; i < 5 * pbits; i++)
     505             :     {
     506             :     qloop:
     507           0 :       if (!testparms)
     508             :         {
     509           0 :           _gcry_mpi_randomize (q, pbits, random_level);
     510             :         }
     511           0 :       if (mpi_cmp (q, minp) < 0)
     512             :         {
     513           0 :           if (testparms)
     514           0 :             goto err;
     515           0 :           goto qloop;
     516             :         }
     517           0 :       if (mpi_cmp (p, q) > 0)
     518             :         {
     519           0 :           pqswitch = 1;
     520           0 :           mpi_sub (diff, p, q);
     521             :         }
     522             :       else
     523             :         {
     524           0 :           pqswitch = 0;
     525           0 :           mpi_sub (diff, q, p);
     526             :         }
     527           0 :       if (mpi_cmp (diff, mindiff) < 0)
     528             :         {
     529           0 :           if (testparms)
     530           0 :             goto err;
     531           0 :           goto qloop;
     532             :         }
     533             : 
     534           0 :       mpi_sub_ui (q1, q, 1);
     535           0 :       if (mpi_gcd (g, q1, e))
     536             :         {
     537           0 :           if (_gcry_fips186_4_prime_check (q, pbits) != GPG_ERR_NO_ERROR)
     538             :             {
     539             :               /* not a prime */
     540           0 :               if (testparms)
     541           0 :                 goto err;
     542             :             }
     543             :           else
     544           0 :             break;
     545             :         }
     546           0 :       else if (testparms)
     547           0 :         goto err;
     548             :     }
     549           0 :   if (i >= 5 * pbits)
     550           0 :     goto err;
     551             : 
     552           0 :   if (testparms)
     553             :     {
     554           0 :       mpi_clear (p);
     555           0 :       mpi_clear (q);
     556             :     }
     557             :   else
     558             :     {
     559             :       gcry_mpi_t f;
     560             : 
     561           0 :       if (pqswitch)
     562             :         {
     563             :           gcry_mpi_t tmp;
     564             : 
     565           0 :           tmp = p;
     566           0 :           p = q;
     567           0 :           q = tmp;
     568             :         }
     569             : 
     570           0 :       f = mpi_snew (nbits);
     571             : 
     572             :       /* calculate the modulus */
     573           0 :       mpi_mul (n, p, q);
     574             : 
     575             :       /* calculate the secret key d = e^1 mod phi */
     576           0 :       mpi_gcd (g, p1, q1);
     577           0 :       mpi_fdiv_q (f, p1, g);
     578           0 :       mpi_mul (f, f, q1);
     579             : 
     580           0 :       mpi_invm (d, e, f);
     581             : 
     582           0 :       _gcry_mpi_release (f);
     583             : 
     584           0 :       if (mpi_get_nbits (d) < pbits)
     585           0 :         goto retry;
     586             : 
     587             :       /* calculate the inverse of p and q (used for chinese remainder theorem)*/
     588           0 :       mpi_invm (u, p, q );
     589             :     }
     590             : 
     591           0 :   ec = 0;
     592             : 
     593           0 :   if (DBG_CIPHER)
     594             :     {
     595           0 :       log_mpidump("  p= ", p );
     596           0 :       log_mpidump("  q= ", q );
     597           0 :       log_mpidump("  n= ", n );
     598           0 :       log_mpidump("  e= ", e );
     599           0 :       log_mpidump("  d= ", d );
     600           0 :       log_mpidump("  u= ", u );
     601             :     }
     602             : 
     603             :  err:
     604             : 
     605           0 :   _gcry_mpi_release (p1);
     606           0 :   _gcry_mpi_release (q1);
     607           0 :   _gcry_mpi_release (g);
     608           0 :   _gcry_mpi_release (minp);
     609           0 :   _gcry_mpi_release (mindiff);
     610           0 :   _gcry_mpi_release (diff);
     611             : 
     612           0 :   sk->n = n;
     613           0 :   sk->e = e;
     614           0 :   sk->p = p;
     615           0 :   sk->q = q;
     616           0 :   sk->d = d;
     617           0 :   sk->u = u;
     618             : 
     619             :   /* Now we can test our keys. */
     620           0 :   if (ec || (!testparms && test_keys (sk, nbits - 64)))
     621             :     {
     622           0 :       _gcry_mpi_release (sk->n); sk->n = NULL;
     623           0 :       _gcry_mpi_release (sk->e); sk->e = NULL;
     624           0 :       _gcry_mpi_release (sk->p); sk->p = NULL;
     625           0 :       _gcry_mpi_release (sk->q); sk->q = NULL;
     626           0 :       _gcry_mpi_release (sk->d); sk->d = NULL;
     627           0 :       _gcry_mpi_release (sk->u); sk->u = NULL;
     628           0 :       if (!ec)
     629             :         {
     630           0 :           fips_signal_error ("self-test after key generation failed");
     631           0 :           return GPG_ERR_SELFTEST_FAILED;
     632             :         }
     633             :     }
     634             : 
     635           0 :   return ec;
     636             : }
     637             : 
     638             : 
     639             : /* Helper for generate_x931.  */
     640             : static gcry_mpi_t
     641           4 : gen_x931_parm_xp (unsigned int nbits)
     642             : {
     643             :   gcry_mpi_t xp;
     644             : 
     645           4 :   xp = mpi_snew (nbits);
     646           4 :   _gcry_mpi_randomize (xp, nbits, GCRY_VERY_STRONG_RANDOM);
     647             : 
     648             :   /* The requirement for Xp is:
     649             : 
     650             :        sqrt{2}*2^{nbits-1} <= xp <= 2^{nbits} - 1
     651             : 
     652             :      We set the two high order bits to 1 to satisfy the lower bound.
     653             :      By using mpi_set_highbit we make sure that the upper bound is
     654             :      satisfied as well.  */
     655           4 :   mpi_set_highbit (xp, nbits-1);
     656           4 :   mpi_set_bit (xp, nbits-2);
     657           4 :   gcry_assert ( mpi_get_nbits (xp) == nbits );
     658             : 
     659           4 :   return xp;
     660             : }
     661             : 
     662             : 
     663             : /* Helper for generate_x931.  */
     664             : static gcry_mpi_t
     665           8 : gen_x931_parm_xi (void)
     666             : {
     667             :   gcry_mpi_t xi;
     668             : 
     669           8 :   xi = mpi_snew (101);
     670           8 :   _gcry_mpi_randomize (xi, 101, GCRY_VERY_STRONG_RANDOM);
     671           8 :   mpi_set_highbit (xi, 100);
     672           8 :   gcry_assert ( mpi_get_nbits (xi) == 101 );
     673             : 
     674           8 :   return xi;
     675             : }
     676             : 
     677             : 
     678             : 
     679             : /* Variant of the standard key generation code using the algorithm
     680             :    from X9.31.  Using this algorithm has the advantage that the
     681             :    generation can be made deterministic which is required for CAVS
     682             :    testing.  */
     683             : static gpg_err_code_t
     684           6 : generate_x931 (RSA_secret_key *sk, unsigned int nbits, unsigned long e_value,
     685             :                gcry_sexp_t deriveparms, int *swapped)
     686             : {
     687             :   gcry_mpi_t p, q; /* The two primes.  */
     688             :   gcry_mpi_t e;    /* The public exponent.  */
     689             :   gcry_mpi_t n;    /* The public key.  */
     690             :   gcry_mpi_t d;    /* The private key */
     691             :   gcry_mpi_t u;    /* The inverse of p and q.  */
     692             :   gcry_mpi_t pm1;  /* p - 1  */
     693             :   gcry_mpi_t qm1;  /* q - 1  */
     694             :   gcry_mpi_t phi;  /* Euler totient.  */
     695             :   gcry_mpi_t f, g; /* Helper.  */
     696             : 
     697           6 :   *swapped = 0;
     698             : 
     699           6 :   if (e_value == 1)   /* Alias for a secure value. */
     700           0 :     e_value = 65537;
     701             : 
     702             :   /* Point 1 of section 4.1:  k = 1024 + 256s with S >= 0  */
     703           6 :   if (nbits < 1024 || (nbits % 256))
     704           0 :     return GPG_ERR_INV_VALUE;
     705             : 
     706             :   /* Point 2:  2 <= bitlength(e) < 2^{k-2}
     707             :      Note that we do not need to check the upper bound because we use
     708             :      an unsigned long for E and thus there is no way for E to reach
     709             :      that limit.  */
     710           6 :   if (e_value < 3)
     711           0 :     return GPG_ERR_INV_VALUE;
     712             : 
     713             :   /* Our implementaion requires E to be odd.  */
     714           6 :   if (!(e_value & 1))
     715           0 :     return GPG_ERR_INV_VALUE;
     716             : 
     717             :   /* Point 3:  e > 0 or e 0 if it is to be randomly generated.
     718             :      We support only a fixed E and thus there is no need for an extra test.  */
     719             : 
     720             : 
     721             :   /* Compute or extract the derive parameters.  */
     722             :   {
     723           6 :     gcry_mpi_t xp1 = NULL;
     724           6 :     gcry_mpi_t xp2 = NULL;
     725           6 :     gcry_mpi_t xp  = NULL;
     726           6 :     gcry_mpi_t xq1 = NULL;
     727           6 :     gcry_mpi_t xq2 = NULL;
     728           6 :     gcry_mpi_t xq  = NULL;
     729             :     gcry_mpi_t tmpval;
     730             : 
     731           6 :     if (!deriveparms)
     732             :       {
     733             :         /* Not given: Generate them.  */
     734           2 :         xp = gen_x931_parm_xp (nbits/2);
     735             :         /* Make sure that |xp - xq| > 2^{nbits - 100} holds.  */
     736           2 :         tmpval = mpi_snew (nbits/2);
     737             :         do
     738             :           {
     739           2 :             _gcry_mpi_release (xq);
     740           2 :             xq = gen_x931_parm_xp (nbits/2);
     741           2 :             mpi_sub (tmpval, xp, xq);
     742             :           }
     743           2 :         while (mpi_get_nbits (tmpval) <= (nbits/2 - 100));
     744           2 :         _gcry_mpi_release (tmpval);
     745             : 
     746           2 :         xp1 = gen_x931_parm_xi ();
     747           2 :         xp2 = gen_x931_parm_xi ();
     748           2 :         xq1 = gen_x931_parm_xi ();
     749           2 :         xq2 = gen_x931_parm_xi ();
     750             : 
     751             :       }
     752             :     else
     753             :       {
     754             :         /* Parameters to derive the key are given.  */
     755             :         /* Note that we explicitly need to setup the values of tbl
     756             :            because some compilers (e.g. OpenWatcom, IRIX) don't allow
     757             :            to initialize a structure with automatic variables.  */
     758           4 :         struct { const char *name; gcry_mpi_t *value; } tbl[] = {
     759             :           { "Xp1" },
     760             :           { "Xp2" },
     761             :           { "Xp"  },
     762             :           { "Xq1" },
     763             :           { "Xq2" },
     764             :           { "Xq"  },
     765             :           { NULL }
     766             :         };
     767             :         int idx;
     768             :         gcry_sexp_t oneparm;
     769             : 
     770           4 :         tbl[0].value = &xp1;
     771           4 :         tbl[1].value = &xp2;
     772           4 :         tbl[2].value = &xp;
     773           4 :         tbl[3].value = &xq1;
     774           4 :         tbl[4].value = &xq2;
     775           4 :         tbl[5].value = &xq;
     776             : 
     777          28 :         for (idx=0; tbl[idx].name; idx++)
     778             :           {
     779          24 :             oneparm = sexp_find_token (deriveparms, tbl[idx].name, 0);
     780          24 :             if (oneparm)
     781             :               {
     782          24 :                 *tbl[idx].value = sexp_nth_mpi (oneparm, 1, GCRYMPI_FMT_USG);
     783          24 :                 sexp_release (oneparm);
     784             :               }
     785             :           }
     786          28 :         for (idx=0; tbl[idx].name; idx++)
     787          24 :           if (!*tbl[idx].value)
     788           0 :             break;
     789           4 :         if (tbl[idx].name)
     790             :           {
     791             :             /* At least one parameter is missing.  */
     792           0 :             for (idx=0; tbl[idx].name; idx++)
     793           0 :               _gcry_mpi_release (*tbl[idx].value);
     794           0 :             return GPG_ERR_MISSING_VALUE;
     795             :           }
     796             :       }
     797             : 
     798           6 :     e = mpi_alloc_set_ui (e_value);
     799             : 
     800             :     /* Find two prime numbers.  */
     801           6 :     p = _gcry_derive_x931_prime (xp, xp1, xp2, e, NULL, NULL);
     802           6 :     q = _gcry_derive_x931_prime (xq, xq1, xq2, e, NULL, NULL);
     803           6 :     _gcry_mpi_release (xp);  xp  = NULL;
     804           6 :     _gcry_mpi_release (xp1); xp1 = NULL;
     805           6 :     _gcry_mpi_release (xp2); xp2 = NULL;
     806           6 :     _gcry_mpi_release (xq);  xq  = NULL;
     807           6 :     _gcry_mpi_release (xq1); xq1 = NULL;
     808           6 :     _gcry_mpi_release (xq2); xq2 = NULL;
     809           6 :     if (!p || !q)
     810             :       {
     811           0 :         _gcry_mpi_release (p);
     812           0 :         _gcry_mpi_release (q);
     813           0 :         _gcry_mpi_release (e);
     814           0 :         return GPG_ERR_NO_PRIME;
     815             :       }
     816             :   }
     817             : 
     818             : 
     819             :   /* Compute the public modulus.  We make sure that p is smaller than
     820             :      q to allow the use of the CRT.  */
     821           6 :   if (mpi_cmp (p, q) > 0 )
     822             :     {
     823           3 :       mpi_swap (p, q);
     824           3 :       *swapped = 1;
     825             :     }
     826           6 :   n = mpi_new (nbits);
     827           6 :   mpi_mul (n, p, q);
     828             : 
     829             :   /* Compute the Euler totient:  phi = (p-1)(q-1)  */
     830           6 :   pm1 = mpi_snew (nbits/2);
     831           6 :   qm1 = mpi_snew (nbits/2);
     832           6 :   phi = mpi_snew (nbits);
     833           6 :   mpi_sub_ui (pm1, p, 1);
     834           6 :   mpi_sub_ui (qm1, q, 1);
     835           6 :   mpi_mul (phi, pm1, qm1);
     836             : 
     837           6 :   g = mpi_snew (nbits);
     838           6 :   gcry_assert (mpi_gcd (g, e, phi));
     839             : 
     840             :   /* Compute: f = lcm(p-1,q-1) = phi / gcd(p-1,q-1) */
     841           6 :   mpi_gcd (g, pm1, qm1);
     842           6 :   f = pm1; pm1 = NULL;
     843           6 :   _gcry_mpi_release (qm1); qm1 = NULL;
     844           6 :   mpi_fdiv_q (f, phi, g);
     845           6 :   _gcry_mpi_release (phi); phi = NULL;
     846           6 :   d = g; g = NULL;
     847             :   /* Compute the secret key:  d = e^{-1} mod lcm(p-1,q-1) */
     848           6 :   mpi_invm (d, e, f);
     849             : 
     850             :   /* Compute the inverse of p and q.  */
     851           6 :   u = f; f = NULL;
     852           6 :   mpi_invm (u, p, q );
     853             : 
     854           6 :   if( DBG_CIPHER )
     855             :     {
     856           0 :       if (*swapped)
     857           0 :         log_debug ("p and q are swapped\n");
     858           0 :       log_mpidump("  p", p );
     859           0 :       log_mpidump("  q", q );
     860           0 :       log_mpidump("  n", n );
     861           0 :       log_mpidump("  e", e );
     862           0 :       log_mpidump("  d", d );
     863           0 :       log_mpidump("  u", u );
     864             :     }
     865             : 
     866             : 
     867           6 :   sk->n = n;
     868           6 :   sk->e = e;
     869           6 :   sk->p = p;
     870           6 :   sk->q = q;
     871           6 :   sk->d = d;
     872           6 :   sk->u = u;
     873             : 
     874             :   /* Now we can test our keys. */
     875           6 :   if (test_keys (sk, nbits - 64))
     876             :     {
     877           0 :       _gcry_mpi_release (sk->n); sk->n = NULL;
     878           0 :       _gcry_mpi_release (sk->e); sk->e = NULL;
     879           0 :       _gcry_mpi_release (sk->p); sk->p = NULL;
     880           0 :       _gcry_mpi_release (sk->q); sk->q = NULL;
     881           0 :       _gcry_mpi_release (sk->d); sk->d = NULL;
     882           0 :       _gcry_mpi_release (sk->u); sk->u = NULL;
     883           0 :       fips_signal_error ("self-test after key generation failed");
     884           0 :       return GPG_ERR_SELFTEST_FAILED;
     885             :     }
     886             : 
     887           6 :   return 0;
     888             : }
     889             : 
     890             : 
     891             : /****************
     892             :  * Test whether the secret key is valid.
     893             :  * Returns: true if this is a valid key.
     894             :  */
     895             : static int
     896           8 : check_secret_key( RSA_secret_key *sk )
     897             : {
     898             :   int rc;
     899           8 :   gcry_mpi_t temp = mpi_alloc( mpi_get_nlimbs(sk->p)*2 );
     900             : 
     901           8 :   mpi_mul(temp, sk->p, sk->q );
     902           8 :   rc = mpi_cmp( temp, sk->n );
     903           8 :   mpi_free(temp);
     904           8 :   return !rc;
     905             : }
     906             : 
     907             : 
     908             : 
     909             : /****************
     910             :  * Public key operation. Encrypt INPUT with PKEY and put result into OUTPUT.
     911             :  *
     912             :  *      c = m^e mod n
     913             :  *
     914             :  * Where c is OUTPUT, m is INPUT and e,n are elements of PKEY.
     915             :  */
     916             : static void
     917        2145 : public(gcry_mpi_t output, gcry_mpi_t input, RSA_public_key *pkey )
     918             : {
     919        2145 :   if( output == input )  /* powm doesn't like output and input the same */
     920             :     {
     921           0 :       gcry_mpi_t x = mpi_alloc( mpi_get_nlimbs(input)*2 );
     922           0 :       mpi_powm( x, input, pkey->e, pkey->n );
     923           0 :       mpi_set(output, x);
     924           0 :       mpi_free(x);
     925             :     }
     926             :   else
     927        2145 :     mpi_powm( output, input, pkey->e, pkey->n );
     928        2145 : }
     929             : 
     930             : #if 0
     931             : static void
     932             : stronger_key_check ( RSA_secret_key *skey )
     933             : {
     934             :   gcry_mpi_t t = mpi_alloc_secure ( 0 );
     935             :   gcry_mpi_t t1 = mpi_alloc_secure ( 0 );
     936             :   gcry_mpi_t t2 = mpi_alloc_secure ( 0 );
     937             :   gcry_mpi_t phi = mpi_alloc_secure ( 0 );
     938             : 
     939             :   /* check that n == p * q */
     940             :   mpi_mul( t, skey->p, skey->q);
     941             :   if (mpi_cmp( t, skey->n) )
     942             :     log_info ( "RSA Oops: n != p * q\n" );
     943             : 
     944             :   /* check that p is less than q */
     945             :   if( mpi_cmp( skey->p, skey->q ) > 0 )
     946             :     {
     947             :       log_info ("RSA Oops: p >= q - fixed\n");
     948             :       _gcry_mpi_swap ( skey->p, skey->q);
     949             :     }
     950             : 
     951             :     /* check that e divides neither p-1 nor q-1 */
     952             :     mpi_sub_ui(t, skey->p, 1 );
     953             :     mpi_fdiv_r(t, t, skey->e );
     954             :     if ( !mpi_cmp_ui( t, 0) )
     955             :         log_info ( "RSA Oops: e divides p-1\n" );
     956             :     mpi_sub_ui(t, skey->q, 1 );
     957             :     mpi_fdiv_r(t, t, skey->e );
     958             :     if ( !mpi_cmp_ui( t, 0) )
     959             :         log_info ( "RSA Oops: e divides q-1\n" );
     960             : 
     961             :     /* check that d is correct */
     962             :     mpi_sub_ui( t1, skey->p, 1 );
     963             :     mpi_sub_ui( t2, skey->q, 1 );
     964             :     mpi_mul( phi, t1, t2 );
     965             :     gcry_mpi_gcd(t, t1, t2);
     966             :     mpi_fdiv_q(t, phi, t);
     967             :     mpi_invm(t, skey->e, t );
     968             :     if ( mpi_cmp(t, skey->d ) )
     969             :       {
     970             :         log_info ( "RSA Oops: d is wrong - fixed\n");
     971             :         mpi_set (skey->d, t);
     972             :         log_printmpi ("  fixed d", skey->d);
     973             :       }
     974             : 
     975             :     /* check for correctness of u */
     976             :     mpi_invm(t, skey->p, skey->q );
     977             :     if ( mpi_cmp(t, skey->u ) )
     978             :       {
     979             :         log_info ( "RSA Oops: u is wrong - fixed\n");
     980             :         mpi_set (skey->u, t);
     981             :         log_printmpi ("  fixed u", skey->u);
     982             :       }
     983             : 
     984             :     log_info ( "RSA secret key check finished\n");
     985             : 
     986             :     mpi_free (t);
     987             :     mpi_free (t1);
     988             :     mpi_free (t2);
     989             :     mpi_free (phi);
     990             : }
     991             : #endif
     992             : 
     993             : 
     994             : 
     995             : /****************
     996             :  * Secret key operation. Encrypt INPUT with SKEY and put result into OUTPUT.
     997             :  *
     998             :  *      m = c^d mod n
     999             :  *
    1000             :  * Or faster:
    1001             :  *
    1002             :  *      m1 = c ^ (d mod (p-1)) mod p
    1003             :  *      m2 = c ^ (d mod (q-1)) mod q
    1004             :  *      h = u * (m2 - m1) mod q
    1005             :  *      m = m1 + h * p
    1006             :  *
    1007             :  * Where m is OUTPUT, c is INPUT and d,n,p,q,u are elements of SKEY.
    1008             :  */
    1009             : static void
    1010        1318 : secret (gcry_mpi_t output, gcry_mpi_t input, RSA_secret_key *skey )
    1011             : {
    1012             :   /* Remove superfluous leading zeroes from INPUT.  */
    1013        1318 :   mpi_normalize (input);
    1014             : 
    1015        1318 :   if (!skey->p || !skey->q || !skey->u)
    1016             :     {
    1017         728 :       mpi_powm (output, input, skey->d, skey->n);
    1018             :     }
    1019             :   else
    1020             :     {
    1021         590 :       gcry_mpi_t m1 = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
    1022         590 :       gcry_mpi_t m2 = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
    1023         590 :       gcry_mpi_t h  = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
    1024             : 
    1025             :       /* m1 = c ^ (d mod (p-1)) mod p */
    1026         590 :       mpi_sub_ui( h, skey->p, 1  );
    1027         590 :       mpi_fdiv_r( h, skey->d, h );
    1028         590 :       mpi_powm( m1, input, h, skey->p );
    1029             :       /* m2 = c ^ (d mod (q-1)) mod q */
    1030         590 :       mpi_sub_ui( h, skey->q, 1  );
    1031         590 :       mpi_fdiv_r( h, skey->d, h );
    1032         590 :       mpi_powm( m2, input, h, skey->q );
    1033             :       /* h = u * ( m2 - m1 ) mod q */
    1034         590 :       mpi_sub( h, m2, m1 );
    1035         590 :       if ( mpi_has_sign ( h ) )
    1036         265 :         mpi_add ( h, h, skey->q );
    1037         590 :       mpi_mulm( h, skey->u, h, skey->q );
    1038             :       /* m = m1 + h * p */
    1039         590 :       mpi_mul ( h, h, skey->p );
    1040         590 :       mpi_add ( output, m1, h );
    1041             : 
    1042         590 :       mpi_free ( h );
    1043         590 :       mpi_free ( m1 );
    1044         590 :       mpi_free ( m2 );
    1045             :     }
    1046        1318 : }
    1047             : 
    1048             : static void
    1049        1240 : secret_blinded (gcry_mpi_t output, gcry_mpi_t input,
    1050             :                 RSA_secret_key *sk, unsigned int nbits)
    1051             : {
    1052             :   gcry_mpi_t r;            /* Random number needed for blinding.  */
    1053             :   gcry_mpi_t ri;           /* Modular multiplicative inverse of r.  */
    1054             :   gcry_mpi_t bldata;       /* Blinded data to decrypt.  */
    1055             : 
    1056             :   /* First, we need a random number r between 0 and n - 1, which is
    1057             :    * relatively prime to n (i.e. it is neither p nor q).  The random
    1058             :    * number needs to be only unpredictable, thus we employ the
    1059             :    * gcry_create_nonce function by using GCRY_WEAK_RANDOM with
    1060             :    * gcry_mpi_randomize.  */
    1061        1240 :   r  = mpi_snew (nbits);
    1062        1240 :   ri = mpi_snew (nbits);
    1063        1240 :   bldata = mpi_snew (nbits);
    1064             : 
    1065             :   do
    1066             :     {
    1067        1240 :       _gcry_mpi_randomize (r, nbits, GCRY_WEAK_RANDOM);
    1068        1240 :       mpi_mod (r, r, sk->n);
    1069             :     }
    1070        1240 :   while (!mpi_invm (ri, r, sk->n));
    1071             : 
    1072             :   /* Do blinding.  We calculate: y = (x * r^e) mod n, where r is the
    1073             :    * random number, e is the public exponent, x is the non-blinded
    1074             :    * input data and n is the RSA modulus.  */
    1075        1240 :   mpi_powm (bldata, r, sk->e, sk->n);
    1076        1240 :   mpi_mulm (bldata, bldata, input, sk->n);
    1077             : 
    1078             :   /* Perform decryption.  */
    1079        1240 :   secret (output, bldata, sk);
    1080        1240 :   _gcry_mpi_release (bldata);
    1081             : 
    1082             :   /* Undo blinding.  Here we calculate: y = (x * r^-1) mod n, where x
    1083             :    * is the blinded decrypted data, ri is the modular multiplicative
    1084             :    * inverse of r and n is the RSA modulus.  */
    1085        1240 :   mpi_mulm (output, output, ri, sk->n);
    1086             : 
    1087        1240 :   _gcry_mpi_release (r);
    1088        1240 :   _gcry_mpi_release (ri);
    1089        1240 : }
    1090             : 
    1091             : /*********************************************
    1092             :  **************  interface  ******************
    1093             :  *********************************************/
    1094             : 
    1095             : static gcry_err_code_t
    1096          39 : rsa_generate (const gcry_sexp_t genparms, gcry_sexp_t *r_skey)
    1097             : {
    1098             :   gpg_err_code_t ec;
    1099             :   unsigned int nbits;
    1100             :   unsigned long evalue;
    1101             :   RSA_secret_key sk;
    1102             :   gcry_sexp_t deriveparms;
    1103          39 :   int flags = 0;
    1104             :   gcry_sexp_t l1;
    1105          39 :   gcry_sexp_t swap_info = NULL;
    1106             : 
    1107          39 :   memset (&sk, 0, sizeof sk);
    1108             : 
    1109          39 :   ec = _gcry_pk_util_get_nbits (genparms, &nbits);
    1110          39 :   if (ec)
    1111           0 :     return ec;
    1112             : 
    1113          39 :   ec = _gcry_pk_util_get_rsa_use_e (genparms, &evalue);
    1114          39 :   if (ec)
    1115           0 :     return ec;
    1116             : 
    1117             :   /* Parse the optional flags list.  */
    1118          39 :   l1 = sexp_find_token (genparms, "flags", 0);
    1119          39 :   if (l1)
    1120             :     {
    1121           0 :       ec = _gcry_pk_util_parse_flaglist (l1, &flags, NULL);
    1122           0 :       sexp_release (l1);
    1123           0 :       if (ec)
    1124           0 :         return ec;
    1125             :     }
    1126             : 
    1127          39 :   deriveparms = (genparms?
    1128          39 :                  sexp_find_token (genparms, "derive-parms", 0) : NULL);
    1129          39 :   if (!deriveparms)
    1130             :     {
    1131             :       /* Parse the optional "use-x931" flag. */
    1132          35 :       l1 = sexp_find_token (genparms, "use-x931", 0);
    1133          35 :       if (l1)
    1134             :         {
    1135           2 :           flags |= PUBKEY_FLAG_USE_X931;
    1136           2 :           sexp_release (l1);
    1137             :         }
    1138             :     }
    1139             : 
    1140          39 :   if (deriveparms || (flags & PUBKEY_FLAG_USE_X931))
    1141           6 :     {
    1142             :       int swapped;
    1143           6 :       ec = generate_x931 (&sk, nbits, evalue, deriveparms, &swapped);
    1144           6 :       sexp_release (deriveparms);
    1145           6 :       if (!ec && swapped)
    1146           3 :         ec = sexp_new (&swap_info, "(misc-key-info(p-q-swapped))", 0, 1);
    1147             :     }
    1148             :   else
    1149             :     {
    1150             :       /* Parse the optional "transient-key" flag. */
    1151          33 :       if (!(flags & PUBKEY_FLAG_TRANSIENT_KEY))
    1152             :         {
    1153          33 :           l1 = sexp_find_token (genparms, "transient-key", 0);
    1154          33 :           if (l1)
    1155             :             {
    1156          26 :               flags |= PUBKEY_FLAG_TRANSIENT_KEY;
    1157          26 :               sexp_release (l1);
    1158             :             }
    1159             :         }
    1160          33 :       deriveparms = (genparms? sexp_find_token (genparms, "test-parms", 0)
    1161          33 :                      /**/    : NULL);
    1162             : 
    1163             :       /* Generate.  */
    1164          33 :       if (deriveparms || fips_mode())
    1165             :         {
    1166           0 :           ec = generate_fips (&sk, nbits, evalue, deriveparms,
    1167           0 :                               !!(flags & PUBKEY_FLAG_TRANSIENT_KEY));
    1168             :         }
    1169             :       else
    1170             :         {
    1171          33 :           ec = generate_std (&sk, nbits, evalue,
    1172          33 :                              !!(flags & PUBKEY_FLAG_TRANSIENT_KEY));
    1173             :         }
    1174          33 :       sexp_release (deriveparms);
    1175             :     }
    1176             : 
    1177          39 :   if (!ec)
    1178             :     {
    1179          39 :       ec = sexp_build (r_skey, NULL,
    1180             :                        "(key-data"
    1181             :                        " (public-key"
    1182             :                        "  (rsa(n%m)(e%m)))"
    1183             :                        " (private-key"
    1184             :                        "  (rsa(n%m)(e%m)(d%m)(p%m)(q%m)(u%m)))"
    1185             :                        " %S)",
    1186             :                        sk.n, sk.e,
    1187             :                        sk.n, sk.e, sk.d, sk.p, sk.q, sk.u,
    1188             :                        swap_info);
    1189             :     }
    1190             : 
    1191          39 :   mpi_free (sk.n);
    1192          39 :   mpi_free (sk.e);
    1193          39 :   mpi_free (sk.p);
    1194          39 :   mpi_free (sk.q);
    1195          39 :   mpi_free (sk.d);
    1196          39 :   mpi_free (sk.u);
    1197          39 :   sexp_release (swap_info);
    1198             : 
    1199          39 :   return ec;
    1200             : }
    1201             : 
    1202             : 
    1203             : static gcry_err_code_t
    1204          12 : rsa_check_secret_key (gcry_sexp_t keyparms)
    1205             : {
    1206             :   gcry_err_code_t rc;
    1207          12 :   RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
    1208             : 
    1209             :   /* To check the key we need the optional parameters. */
    1210          12 :   rc = sexp_extract_param (keyparms, NULL, "nedpqu",
    1211             :                            &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
    1212             :                            NULL);
    1213          12 :   if (rc)
    1214           4 :     goto leave;
    1215             : 
    1216           8 :   if (!check_secret_key (&sk))
    1217           0 :     rc = GPG_ERR_BAD_SECKEY;
    1218             : 
    1219             :  leave:
    1220          12 :   _gcry_mpi_release (sk.n);
    1221          12 :   _gcry_mpi_release (sk.e);
    1222          12 :   _gcry_mpi_release (sk.d);
    1223          12 :   _gcry_mpi_release (sk.p);
    1224          12 :   _gcry_mpi_release (sk.q);
    1225          12 :   _gcry_mpi_release (sk.u);
    1226          12 :   if (DBG_CIPHER)
    1227           0 :     log_debug ("rsa_testkey    => %s\n", gpg_strerror (rc));
    1228          12 :   return rc;
    1229             : }
    1230             : 
    1231             : 
    1232             : static gcry_err_code_t
    1233         718 : rsa_encrypt (gcry_sexp_t *r_ciph, gcry_sexp_t s_data, gcry_sexp_t keyparms)
    1234             : {
    1235             :   gcry_err_code_t rc;
    1236             :   struct pk_encoding_ctx ctx;
    1237         718 :   gcry_mpi_t data = NULL;
    1238         718 :   RSA_public_key pk = {NULL, NULL};
    1239         718 :   gcry_mpi_t ciph = NULL;
    1240             : 
    1241         718 :   _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_ENCRYPT,
    1242             :                                    rsa_get_nbits (keyparms));
    1243             : 
    1244             :   /* Extract the data.  */
    1245         718 :   rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
    1246         718 :   if (rc)
    1247          72 :     goto leave;
    1248         646 :   if (DBG_CIPHER)
    1249           0 :     log_mpidump ("rsa_encrypt data", data);
    1250         646 :   if (!data || mpi_is_opaque (data))
    1251             :     {
    1252           0 :       rc = GPG_ERR_INV_DATA;
    1253           0 :       goto leave;
    1254             :     }
    1255             : 
    1256             :   /* Extract the key.  */
    1257         646 :   rc = sexp_extract_param (keyparms, NULL, "ne", &pk.n, &pk.e, NULL);
    1258         646 :   if (rc)
    1259           0 :     goto leave;
    1260         646 :   if (DBG_CIPHER)
    1261             :     {
    1262           0 :       log_mpidump ("rsa_encrypt    n", pk.n);
    1263           0 :       log_mpidump ("rsa_encrypt    e", pk.e);
    1264             :     }
    1265             : 
    1266             :   /* Do RSA computation and build result.  */
    1267         646 :   ciph = mpi_new (0);
    1268         646 :   public (ciph, data, &pk);
    1269         646 :   if (DBG_CIPHER)
    1270           0 :     log_mpidump ("rsa_encrypt  res", ciph);
    1271         646 :   if ((ctx.flags & PUBKEY_FLAG_FIXEDLEN))
    1272             :     {
    1273             :       /* We need to make sure to return the correct length to avoid
    1274             :          problems with missing leading zeroes.  */
    1275             :       unsigned char *em;
    1276         528 :       size_t emlen = (mpi_get_nbits (pk.n)+7)/8;
    1277             : 
    1278         528 :       rc = _gcry_mpi_to_octet_string (&em, NULL, ciph, emlen);
    1279         528 :       if (!rc)
    1280             :         {
    1281         528 :           rc = sexp_build (r_ciph, NULL, "(enc-val(rsa(a%b)))", (int)emlen, em);
    1282         528 :           xfree (em);
    1283             :         }
    1284             :     }
    1285             :   else
    1286         118 :     rc = sexp_build (r_ciph, NULL, "(enc-val(rsa(a%m)))", ciph);
    1287             : 
    1288             :  leave:
    1289         718 :   _gcry_mpi_release (ciph);
    1290         718 :   _gcry_mpi_release (pk.n);
    1291         718 :   _gcry_mpi_release (pk.e);
    1292         718 :   _gcry_mpi_release (data);
    1293         718 :   _gcry_pk_util_free_encoding_ctx (&ctx);
    1294         718 :   if (DBG_CIPHER)
    1295           0 :     log_debug ("rsa_encrypt    => %s\n", gpg_strerror (rc));
    1296         718 :   return rc;
    1297             : }
    1298             : 
    1299             : 
    1300             : static gcry_err_code_t
    1301         646 : rsa_decrypt (gcry_sexp_t *r_plain, gcry_sexp_t s_data, gcry_sexp_t keyparms)
    1302             : 
    1303             : {
    1304             :   gpg_err_code_t rc;
    1305             :   struct pk_encoding_ctx ctx;
    1306         646 :   gcry_sexp_t l1 = NULL;
    1307         646 :   gcry_mpi_t data = NULL;
    1308         646 :   RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
    1309         646 :   gcry_mpi_t plain = NULL;
    1310         646 :   unsigned char *unpad = NULL;
    1311         646 :   size_t unpadlen = 0;
    1312             : 
    1313         646 :   _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_DECRYPT,
    1314             :                                    rsa_get_nbits (keyparms));
    1315             : 
    1316             :   /* Extract the data.  */
    1317         646 :   rc = _gcry_pk_util_preparse_encval (s_data, rsa_names, &l1, &ctx);
    1318         646 :   if (rc)
    1319           0 :     goto leave;
    1320         646 :   rc = sexp_extract_param (l1, NULL, "a", &data, NULL);
    1321         646 :   if (rc)
    1322           0 :     goto leave;
    1323         646 :   if (DBG_CIPHER)
    1324           0 :     log_printmpi ("rsa_decrypt data", data);
    1325         646 :   if (mpi_is_opaque (data))
    1326             :     {
    1327           0 :       rc = GPG_ERR_INV_DATA;
    1328           0 :       goto leave;
    1329             :     }
    1330             : 
    1331             :   /* Extract the key.  */
    1332         646 :   rc = sexp_extract_param (keyparms, NULL, "nedp?q?u?",
    1333             :                            &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
    1334             :                            NULL);
    1335         646 :   if (rc)
    1336           0 :     goto leave;
    1337         646 :   if (DBG_CIPHER)
    1338             :     {
    1339           0 :       log_printmpi ("rsa_decrypt    n", sk.n);
    1340           0 :       log_printmpi ("rsa_decrypt    e", sk.e);
    1341           0 :       if (!fips_mode ())
    1342             :         {
    1343           0 :           log_printmpi ("rsa_decrypt    d", sk.d);
    1344           0 :           log_printmpi ("rsa_decrypt    p", sk.p);
    1345           0 :           log_printmpi ("rsa_decrypt    q", sk.q);
    1346           0 :           log_printmpi ("rsa_decrypt    u", sk.u);
    1347             :         }
    1348             :     }
    1349             : 
    1350             :   /* Better make sure that there are no superfluous leading zeroes in
    1351             :      the input and it has not been "padded" using multiples of N.
    1352             :      This mitigates side-channel attacks (CVE-2013-4576).  */
    1353         646 :   mpi_normalize (data);
    1354         646 :   mpi_fdiv_r (data, data, sk.n);
    1355             : 
    1356             :   /* Allocate MPI for the plaintext.  */
    1357         646 :   plain = mpi_snew (ctx.nbits);
    1358             : 
    1359             :   /* We use blinding by default to mitigate timing attacks which can
    1360             :      be practically mounted over the network as shown by Brumley and
    1361             :      Boney in 2003.  */
    1362         646 :   if ((ctx.flags & PUBKEY_FLAG_NO_BLINDING))
    1363           0 :     secret (plain, data, &sk);
    1364             :   else
    1365         646 :     secret_blinded (plain, data, &sk, ctx.nbits);
    1366             : 
    1367         646 :   if (DBG_CIPHER)
    1368           0 :     log_printmpi ("rsa_decrypt  res", plain);
    1369             : 
    1370             :   /* Reverse the encoding and build the s-expression.  */
    1371         646 :   switch (ctx.encoding)
    1372             :     {
    1373             :     case PUBKEY_ENC_PKCS1:
    1374         348 :       rc = _gcry_rsa_pkcs1_decode_for_enc (&unpad, &unpadlen, ctx.nbits, plain);
    1375         348 :       mpi_free (plain);
    1376         348 :       plain = NULL;
    1377         348 :       if (!rc)
    1378         324 :         rc = sexp_build (r_plain, NULL, "(value %b)", (int)unpadlen, unpad);
    1379         348 :       break;
    1380             : 
    1381             :     case PUBKEY_ENC_OAEP:
    1382         360 :       rc = _gcry_rsa_oaep_decode (&unpad, &unpadlen,
    1383             :                                   ctx.nbits, ctx.hash_algo,
    1384         180 :                                   plain, ctx.label, ctx.labellen);
    1385         180 :       mpi_free (plain);
    1386         180 :       plain = NULL;
    1387         180 :       if (!rc)
    1388         156 :         rc = sexp_build (r_plain, NULL, "(value %b)", (int)unpadlen, unpad);
    1389         180 :       break;
    1390             : 
    1391             :     default:
    1392             :       /* Raw format.  For backward compatibility we need to assume a
    1393             :          signed mpi by using the sexp format string "%m".  */
    1394         118 :       rc = sexp_build (r_plain, NULL,
    1395         118 :                        (ctx.flags & PUBKEY_FLAG_LEGACYRESULT)
    1396             :                        ? "%m":"(value %m)", plain);
    1397         118 :       break;
    1398             :     }
    1399             : 
    1400             :  leave:
    1401         646 :   xfree (unpad);
    1402         646 :   _gcry_mpi_release (plain);
    1403         646 :   _gcry_mpi_release (sk.n);
    1404         646 :   _gcry_mpi_release (sk.e);
    1405         646 :   _gcry_mpi_release (sk.d);
    1406         646 :   _gcry_mpi_release (sk.p);
    1407         646 :   _gcry_mpi_release (sk.q);
    1408         646 :   _gcry_mpi_release (sk.u);
    1409         646 :   _gcry_mpi_release (data);
    1410         646 :   sexp_release (l1);
    1411         646 :   _gcry_pk_util_free_encoding_ctx (&ctx);
    1412         646 :   if (DBG_CIPHER)
    1413           0 :     log_debug ("rsa_decrypt    => %s\n", gpg_strerror (rc));
    1414         646 :   return rc;
    1415             : }
    1416             : 
    1417             : 
    1418             : static gcry_err_code_t
    1419         738 : rsa_sign (gcry_sexp_t *r_sig, gcry_sexp_t s_data, gcry_sexp_t keyparms)
    1420             : {
    1421             :   gpg_err_code_t rc;
    1422             :   struct pk_encoding_ctx ctx;
    1423         738 :   gcry_mpi_t data = NULL;
    1424         738 :   RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
    1425             :   RSA_public_key pk;
    1426         738 :   gcry_mpi_t sig = NULL;
    1427         738 :   gcry_mpi_t result = NULL;
    1428             : 
    1429         738 :   _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_SIGN,
    1430             :                                    rsa_get_nbits (keyparms));
    1431             : 
    1432             :   /* Extract the data.  */
    1433         738 :   rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
    1434         738 :   if (rc)
    1435         144 :     goto leave;
    1436         594 :   if (DBG_CIPHER)
    1437           0 :     log_printmpi ("rsa_sign   data", data);
    1438         594 :   if (mpi_is_opaque (data))
    1439             :     {
    1440           0 :       rc = GPG_ERR_INV_DATA;
    1441           0 :       goto leave;
    1442             :     }
    1443             : 
    1444             :   /* Extract the key.  */
    1445         594 :   rc = sexp_extract_param (keyparms, NULL, "nedp?q?u?",
    1446             :                            &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
    1447             :                            NULL);
    1448         594 :   if (rc)
    1449           0 :     goto leave;
    1450         594 :   if (DBG_CIPHER)
    1451             :     {
    1452           0 :       log_printmpi ("rsa_sign      n", sk.n);
    1453           0 :       log_printmpi ("rsa_sign      e", sk.e);
    1454           0 :       if (!fips_mode ())
    1455             :         {
    1456           0 :           log_printmpi ("rsa_sign      d", sk.d);
    1457           0 :           log_printmpi ("rsa_sign      p", sk.p);
    1458           0 :           log_printmpi ("rsa_sign      q", sk.q);
    1459           0 :           log_printmpi ("rsa_sign      u", sk.u);
    1460             :         }
    1461             :     }
    1462             : 
    1463             :   /* Do RSA computation.  */
    1464         594 :   sig = mpi_new (0);
    1465         594 :   if ((ctx.flags & PUBKEY_FLAG_NO_BLINDING))
    1466           0 :     secret (sig, data, &sk);
    1467             :   else
    1468         594 :     secret_blinded (sig, data, &sk, ctx.nbits);
    1469         594 :   if (DBG_CIPHER)
    1470           0 :     log_printmpi ("rsa_sign    res", sig);
    1471             : 
    1472             :   /* Check that the created signature is good.  This detects a failure
    1473             :      of the CRT algorithm  (Lenstra's attack on RSA's use of the CRT).  */
    1474         594 :   result = mpi_new (0);
    1475         594 :   pk.n = sk.n;
    1476         594 :   pk.e = sk.e;
    1477         594 :   public (result, sig, &pk);
    1478         594 :   if (mpi_cmp (result, data))
    1479             :     {
    1480           0 :       rc = GPG_ERR_BAD_SIGNATURE;
    1481           0 :       goto leave;
    1482             :     }
    1483             : 
    1484             :   /* Convert the result.  */
    1485         594 :   if ((ctx.flags & PUBKEY_FLAG_FIXEDLEN))
    1486             :     {
    1487             :       /* We need to make sure to return the correct length to avoid
    1488             :          problems with missing leading zeroes.  */
    1489             :       unsigned char *em;
    1490         482 :       size_t emlen = (mpi_get_nbits (sk.n)+7)/8;
    1491             : 
    1492         482 :       rc = _gcry_mpi_to_octet_string (&em, NULL, sig, emlen);
    1493         482 :       if (!rc)
    1494             :         {
    1495         482 :           rc = sexp_build (r_sig, NULL, "(sig-val(rsa(s%b)))", (int)emlen, em);
    1496         482 :           xfree (em);
    1497             :         }
    1498             :     }
    1499             :   else
    1500         112 :     rc = sexp_build (r_sig, NULL, "(sig-val(rsa(s%M)))", sig);
    1501             : 
    1502             : 
    1503             :  leave:
    1504         738 :   _gcry_mpi_release (result);
    1505         738 :   _gcry_mpi_release (sig);
    1506         738 :   _gcry_mpi_release (sk.n);
    1507         738 :   _gcry_mpi_release (sk.e);
    1508         738 :   _gcry_mpi_release (sk.d);
    1509         738 :   _gcry_mpi_release (sk.p);
    1510         738 :   _gcry_mpi_release (sk.q);
    1511         738 :   _gcry_mpi_release (sk.u);
    1512         738 :   _gcry_mpi_release (data);
    1513         738 :   _gcry_pk_util_free_encoding_ctx (&ctx);
    1514         738 :   if (DBG_CIPHER)
    1515           0 :     log_debug ("rsa_sign      => %s\n", gpg_strerror (rc));
    1516         738 :   return rc;
    1517             : }
    1518             : 
    1519             : 
    1520             : static gcry_err_code_t
    1521         788 : rsa_verify (gcry_sexp_t s_sig, gcry_sexp_t s_data, gcry_sexp_t keyparms)
    1522             : {
    1523             :   gcry_err_code_t rc;
    1524             :   struct pk_encoding_ctx ctx;
    1525         788 :   gcry_sexp_t l1 = NULL;
    1526         788 :   gcry_mpi_t sig = NULL;
    1527         788 :   gcry_mpi_t data = NULL;
    1528         788 :   RSA_public_key pk = { NULL, NULL };
    1529         788 :   gcry_mpi_t result = NULL;
    1530             : 
    1531         788 :   _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_VERIFY,
    1532             :                                    rsa_get_nbits (keyparms));
    1533             : 
    1534             :   /* Extract the data.  */
    1535         788 :   rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
    1536         788 :   if (rc)
    1537           0 :     goto leave;
    1538         788 :   if (DBG_CIPHER)
    1539           0 :     log_printmpi ("rsa_verify data", data);
    1540         788 :   if (mpi_is_opaque (data))
    1541             :     {
    1542           0 :       rc = GPG_ERR_INV_DATA;
    1543           0 :       goto leave;
    1544             :     }
    1545             : 
    1546             :   /* Extract the signature value.  */
    1547         788 :   rc = _gcry_pk_util_preparse_sigval (s_sig, rsa_names, &l1, NULL);
    1548         788 :   if (rc)
    1549           0 :     goto leave;
    1550         788 :   rc = sexp_extract_param (l1, NULL, "s", &sig, NULL);
    1551         788 :   if (rc)
    1552           0 :     goto leave;
    1553         788 :   if (DBG_CIPHER)
    1554           0 :     log_printmpi ("rsa_verify  sig", sig);
    1555             : 
    1556             :   /* Extract the key.  */
    1557         788 :   rc = sexp_extract_param (keyparms, NULL, "ne", &pk.n, &pk.e, NULL);
    1558         788 :   if (rc)
    1559           0 :     goto leave;
    1560         788 :   if (DBG_CIPHER)
    1561             :     {
    1562           0 :       log_printmpi ("rsa_verify    n", pk.n);
    1563           0 :       log_printmpi ("rsa_verify    e", pk.e);
    1564             :     }
    1565             : 
    1566             :   /* Do RSA computation and compare.  */
    1567         788 :   result = mpi_new (0);
    1568         788 :   public (result, sig, &pk);
    1569         788 :   if (DBG_CIPHER)
    1570           0 :     log_printmpi ("rsa_verify  cmp", result);
    1571         788 :   if (ctx.verify_cmp)
    1572         108 :     rc = ctx.verify_cmp (&ctx, result);
    1573             :   else
    1574         680 :     rc = mpi_cmp (result, data) ? GPG_ERR_BAD_SIGNATURE : 0;
    1575             : 
    1576             :  leave:
    1577         788 :   _gcry_mpi_release (result);
    1578         788 :   _gcry_mpi_release (pk.n);
    1579         788 :   _gcry_mpi_release (pk.e);
    1580         788 :   _gcry_mpi_release (data);
    1581         788 :   _gcry_mpi_release (sig);
    1582         788 :   sexp_release (l1);
    1583         788 :   _gcry_pk_util_free_encoding_ctx (&ctx);
    1584         788 :   if (DBG_CIPHER)
    1585           0 :     log_debug ("rsa_verify    => %s\n", rc?gpg_strerror (rc):"Good");
    1586         788 :   return rc;
    1587             : }
    1588             : 
    1589             : 
    1590             : 
    1591             : /* Return the number of bits for the key described by PARMS.  On error
    1592             :  * 0 is returned.  The format of PARMS starts with the algorithm name;
    1593             :  * for example:
    1594             :  *
    1595             :  *   (rsa
    1596             :  *     (n <mpi>)
    1597             :  *     (e <mpi>))
    1598             :  *
    1599             :  * More parameters may be given but we only need N here.
    1600             :  */
    1601             : static unsigned int
    1602        2890 : rsa_get_nbits (gcry_sexp_t parms)
    1603             : {
    1604             :   gcry_sexp_t l1;
    1605             :   gcry_mpi_t n;
    1606             :   unsigned int nbits;
    1607             : 
    1608        2890 :   l1 = sexp_find_token (parms, "n", 1);
    1609        2890 :   if (!l1)
    1610           0 :     return 0; /* Parameter N not found.  */
    1611             : 
    1612        2890 :   n = sexp_nth_mpi (l1, 1, GCRYMPI_FMT_USG);
    1613        2890 :   sexp_release (l1);
    1614        2890 :   nbits = n? mpi_get_nbits (n) : 0;
    1615        2890 :   _gcry_mpi_release (n);
    1616        2890 :   return nbits;
    1617             : }
    1618             : 
    1619             : 
    1620             : /* Compute a keygrip.  MD is the hash context which we are going to
    1621             :    update.  KEYPARAM is an S-expression with the key parameters, this
    1622             :    is usually a public key but may also be a secret key.  An example
    1623             :    of such an S-expression is:
    1624             : 
    1625             :       (rsa
    1626             :         (n #00B...#)
    1627             :         (e #010001#))
    1628             : 
    1629             :    PKCS-15 says that for RSA only the modulus should be hashed -
    1630             :    however, it is not clear whether this is meant to use the raw bytes
    1631             :    (assuming this is an unsigned integer) or whether the DER required
    1632             :    0 should be prefixed.  We hash the raw bytes.  */
    1633             : static gpg_err_code_t
    1634           1 : compute_keygrip (gcry_md_hd_t md, gcry_sexp_t keyparam)
    1635             : {
    1636             :   gcry_sexp_t l1;
    1637             :   const char *data;
    1638             :   size_t datalen;
    1639             : 
    1640           1 :   l1 = sexp_find_token (keyparam, "n", 1);
    1641           1 :   if (!l1)
    1642           0 :     return GPG_ERR_NO_OBJ;
    1643             : 
    1644           1 :   data = sexp_nth_data (l1, 1, &datalen);
    1645           1 :   if (!data)
    1646             :     {
    1647           0 :       sexp_release (l1);
    1648           0 :       return GPG_ERR_NO_OBJ;
    1649             :     }
    1650             : 
    1651           1 :   _gcry_md_write (md, data, datalen);
    1652           1 :   sexp_release (l1);
    1653             : 
    1654           1 :   return 0;
    1655             : }
    1656             : 
    1657             : 
    1658             : 
    1659             : 
    1660             : /*
    1661             :      Self-test section.
    1662             :  */
    1663             : 
    1664             : static const char *
    1665           2 : selftest_sign_2048 (gcry_sexp_t pkey, gcry_sexp_t skey)
    1666             : {
    1667             :   static const char sample_data[] =
    1668             :     "(data (flags pkcs1)"
    1669             :     " (hash sha256 #11223344556677889900aabbccddeeff"
    1670             :     /**/           "102030405060708090a0b0c0d0f01121#))";
    1671             :   static const char sample_data_bad[] =
    1672             :     "(data (flags pkcs1)"
    1673             :     " (hash sha256 #11223344556677889900aabbccddeeff"
    1674             :     /**/           "802030405060708090a0b0c0d0f01121#))";
    1675             : 
    1676           2 :   const char *errtxt = NULL;
    1677             :   gcry_error_t err;
    1678           2 :   gcry_sexp_t data = NULL;
    1679           2 :   gcry_sexp_t data_bad = NULL;
    1680           2 :   gcry_sexp_t sig = NULL;
    1681             :   /* raw signature data reference */
    1682           2 :   const char ref_data[] =
    1683             :     "6252a19a11e1d5155ed9376036277193d644fa239397fff03e9b92d6f86415d6"
    1684             :     "d30da9273775f290e580d038295ff8ff89522becccfa6ae870bf76b76df402a8"
    1685             :     "54f69347e3db3de8e1e7d4dada281ec556810c7a8ecd0b5f51f9b1c0e7aa7557"
    1686             :     "61aa2b8ba5f811304acc6af0eca41fe49baf33bf34eddaf44e21e036ac7f0b68"
    1687             :     "03cdef1c60021fb7b5b97ebacdd88ab755ce29af568dbc5728cc6e6eff42618d"
    1688             :     "62a0386ca8beed46402bdeeef29b6a3feded906bace411a06a39192bf516ae10"
    1689             :     "67e4320fa8ea113968525f4574d022a3ceeaafdc41079efe1f22cc94bf59d8d3"
    1690             :     "328085da9674857db56de5978a62394aab48aa3b72e23a1b16260cfd9daafe65";
    1691           2 :   gcry_mpi_t ref_mpi = NULL;
    1692           2 :   gcry_mpi_t sig_mpi = NULL;
    1693             : 
    1694           2 :   err = sexp_sscan (&data, NULL, sample_data, strlen (sample_data));
    1695           2 :   if (!err)
    1696           2 :     err = sexp_sscan (&data_bad, NULL,
    1697             :                       sample_data_bad, strlen (sample_data_bad));
    1698           2 :   if (err)
    1699             :     {
    1700           0 :       errtxt = "converting data failed";
    1701           0 :       goto leave;
    1702             :     }
    1703             : 
    1704           2 :   err = _gcry_pk_sign (&sig, data, skey);
    1705           2 :   if (err)
    1706             :     {
    1707           0 :       errtxt = "signing failed";
    1708           0 :       goto leave;
    1709             :     }
    1710             : 
    1711           2 :   err = _gcry_mpi_scan(&ref_mpi, GCRYMPI_FMT_HEX, ref_data, 0, NULL);
    1712           2 :   if (err)
    1713             :     {
    1714           0 :       errtxt = "converting ref_data to mpi failed";
    1715           0 :       goto leave;
    1716             :     }
    1717             : 
    1718           2 :   err = _gcry_sexp_extract_param(sig, "sig-val!rsa", "s", &sig_mpi, NULL);
    1719           2 :   if (err)
    1720             :     {
    1721           0 :       errtxt = "extracting signature data failed";
    1722           0 :       goto leave;
    1723             :     }
    1724             : 
    1725           2 :   if (mpi_cmp (sig_mpi, ref_mpi))
    1726             :     {
    1727           0 :       errtxt = "signature does not match reference data";
    1728           0 :       goto leave;
    1729             :     }
    1730             : 
    1731           2 :   err = _gcry_pk_verify (sig, data, pkey);
    1732           2 :   if (err)
    1733             :     {
    1734           0 :       errtxt = "verify failed";
    1735           0 :       goto leave;
    1736             :     }
    1737           2 :   err = _gcry_pk_verify (sig, data_bad, pkey);
    1738           2 :   if (gcry_err_code (err) != GPG_ERR_BAD_SIGNATURE)
    1739             :     {
    1740           0 :       errtxt = "bad signature not detected";
    1741           0 :       goto leave;
    1742             :     }
    1743             : 
    1744             : 
    1745             :  leave:
    1746           2 :   sexp_release (sig);
    1747           2 :   sexp_release (data_bad);
    1748           2 :   sexp_release (data);
    1749           2 :   _gcry_mpi_release (ref_mpi);
    1750           2 :   _gcry_mpi_release (sig_mpi);
    1751           2 :   return errtxt;
    1752             : }
    1753             : 
    1754             : 
    1755             : 
    1756             : /* Given an S-expression ENCR_DATA of the form:
    1757             : 
    1758             :    (enc-val
    1759             :     (rsa
    1760             :      (a a-value)))
    1761             : 
    1762             :    as returned by gcry_pk_decrypt, return the the A-VALUE.  On error,
    1763             :    return NULL.  */
    1764             : static gcry_mpi_t
    1765           2 : extract_a_from_sexp (gcry_sexp_t encr_data)
    1766             : {
    1767             :   gcry_sexp_t l1, l2, l3;
    1768             :   gcry_mpi_t a_value;
    1769             : 
    1770           2 :   l1 = sexp_find_token (encr_data, "enc-val", 0);
    1771           2 :   if (!l1)
    1772           0 :     return NULL;
    1773           2 :   l2 = sexp_find_token (l1, "rsa", 0);
    1774           2 :   sexp_release (l1);
    1775           2 :   if (!l2)
    1776           0 :     return NULL;
    1777           2 :   l3 = sexp_find_token (l2, "a", 0);
    1778           2 :   sexp_release (l2);
    1779           2 :   if (!l3)
    1780           0 :     return NULL;
    1781           2 :   a_value = sexp_nth_mpi (l3, 1, 0);
    1782           2 :   sexp_release (l3);
    1783             : 
    1784           2 :   return a_value;
    1785             : }
    1786             : 
    1787             : 
    1788             : static const char *
    1789           2 : selftest_encr_2048 (gcry_sexp_t pkey, gcry_sexp_t skey)
    1790             : {
    1791           2 :   const char *errtxt = NULL;
    1792             :   gcry_error_t err;
    1793             :   static const char plaintext[] =
    1794             :     "Jim quickly realized that the beautiful gowns are expensive.";
    1795           2 :   gcry_sexp_t plain = NULL;
    1796           2 :   gcry_sexp_t encr  = NULL;
    1797           2 :   gcry_mpi_t  ciphertext = NULL;
    1798           2 :   gcry_sexp_t decr  = NULL;
    1799           2 :   char *decr_plaintext = NULL;
    1800           2 :   gcry_sexp_t tmplist = NULL;
    1801             :   /* expected result of encrypting the plaintext with sample_secret_key */
    1802             :   static const char ref_data[] =
    1803             :     "18022e2593a402a737caaa93b4c7e750e20ca265452980e1d6b7710fbd3e"
    1804             :     "7dce72be5c2110fb47691cb38f42170ee3b4a37f2498d4a51567d762585e"
    1805             :     "4cb81d04fbc7df4144f8e5eac2d4b8688521b64011f11d7ad53f4c874004"
    1806             :     "819856f2e2a6f83d1c9c4e73ac26089789c14482b0b8d44139133c88c4a5"
    1807             :     "2dba9dd6d6ffc622666b7d129168333d999706af30a2d7d272db7734e5ed"
    1808             :     "fb8c64ea3018af3ad20f4a013a5060cb0f5e72753967bebe294280a6ed0d"
    1809             :     "dbd3c4f11d0a8696e9d32a0dc03deb0b5e49b2cbd1503392642d4e1211f3"
    1810             :     "e8e2ee38abaa3671ccd57fcde8ca76e85fd2cb77c35706a970a213a27352"
    1811             :     "cec92a9604d543ddb5fc478ff50e0622";
    1812           2 :   gcry_mpi_t ref_mpi = NULL;
    1813             : 
    1814             :   /* Put the plaintext into an S-expression.  */
    1815           2 :   err = sexp_build (&plain, NULL, "(data (flags raw) (value %s))", plaintext);
    1816           2 :   if (err)
    1817             :     {
    1818           0 :       errtxt = "converting data failed";
    1819           0 :       goto leave;
    1820             :     }
    1821             : 
    1822             :   /* Encrypt.  */
    1823           2 :   err = _gcry_pk_encrypt (&encr, plain, pkey);
    1824           2 :   if (err)
    1825             :     {
    1826           0 :       errtxt = "encrypt failed";
    1827           0 :       goto leave;
    1828             :     }
    1829             : 
    1830           2 :   err = _gcry_mpi_scan(&ref_mpi, GCRYMPI_FMT_HEX, ref_data, 0, NULL);
    1831           2 :   if (err)
    1832             :     {
    1833           0 :       errtxt = "converting encrydata to mpi failed";
    1834           0 :       goto leave;
    1835             :     }
    1836             : 
    1837             :   /* Extraxt the ciphertext from the returned S-expression.  */
    1838             :   /*sexp_dump (encr);*/
    1839           2 :   ciphertext = extract_a_from_sexp (encr);
    1840           2 :   if (!ciphertext)
    1841             :     {
    1842           0 :       errtxt = "gcry_pk_decrypt returned garbage";
    1843           0 :       goto leave;
    1844             :     }
    1845             : 
    1846             :   /* Check that the ciphertext does no match the plaintext.  */
    1847             :   /* _gcry_log_printmpi ("plaintext", plaintext); */
    1848             :   /* _gcry_log_printmpi ("ciphertxt", ciphertext); */
    1849           2 :   if (mpi_cmp (ref_mpi, ciphertext))
    1850             :     {
    1851           0 :       errtxt = "ciphertext doesn't match reference data";
    1852           0 :       goto leave;
    1853             :     }
    1854             : 
    1855             :   /* Decrypt.  */
    1856           2 :   err = _gcry_pk_decrypt (&decr, encr, skey);
    1857           2 :   if (err)
    1858             :     {
    1859           0 :       errtxt = "decrypt failed";
    1860           0 :       goto leave;
    1861             :     }
    1862             : 
    1863             :   /* Extract the decrypted data from the S-expression.  Note that the
    1864             :      output of gcry_pk_decrypt depends on whether a flags lists occurs
    1865             :      in its input data.  Because we passed the output of
    1866             :      gcry_pk_encrypt directly to gcry_pk_decrypt, such a flag value
    1867             :      won't be there as of today.  To be prepared for future changes we
    1868             :      take care of it anyway.  */
    1869           2 :   tmplist = sexp_find_token (decr, "value", 0);
    1870           2 :   if (tmplist)
    1871           0 :     decr_plaintext = sexp_nth_string (tmplist, 1);
    1872             :   else
    1873           2 :     decr_plaintext = sexp_nth_string (decr, 0);
    1874           2 :   if (!decr_plaintext)
    1875             :     {
    1876           0 :       errtxt = "decrypt returned no plaintext";
    1877           0 :       goto leave;
    1878             :     }
    1879             : 
    1880             :   /* Check that the decrypted plaintext matches the original  plaintext.  */
    1881           2 :   if (strcmp (plaintext, decr_plaintext))
    1882             :     {
    1883           0 :       errtxt = "mismatch";
    1884           0 :       goto leave;
    1885             :     }
    1886             : 
    1887             :  leave:
    1888           2 :   sexp_release (tmplist);
    1889           2 :   xfree (decr_plaintext);
    1890           2 :   sexp_release (decr);
    1891           2 :   _gcry_mpi_release (ciphertext);
    1892           2 :   _gcry_mpi_release (ref_mpi);
    1893           2 :   sexp_release (encr);
    1894           2 :   sexp_release (plain);
    1895           2 :   return errtxt;
    1896             : }
    1897             : 
    1898             : 
    1899             : static gpg_err_code_t
    1900           2 : selftests_rsa (selftest_report_func_t report)
    1901             : {
    1902             :   const char *what;
    1903             :   const char *errtxt;
    1904             :   gcry_error_t err;
    1905           2 :   gcry_sexp_t skey = NULL;
    1906           2 :   gcry_sexp_t pkey = NULL;
    1907             : 
    1908             :   /* Convert the S-expressions into the internal representation.  */
    1909           2 :   what = "convert";
    1910           2 :   err = sexp_sscan (&skey, NULL, sample_secret_key, strlen (sample_secret_key));
    1911           2 :   if (!err)
    1912           2 :     err = sexp_sscan (&pkey, NULL,
    1913             :                       sample_public_key, strlen (sample_public_key));
    1914           2 :   if (err)
    1915             :     {
    1916           0 :       errtxt = _gcry_strerror (err);
    1917           0 :       goto failed;
    1918             :     }
    1919             : 
    1920           2 :   what = "key consistency";
    1921           2 :   err = _gcry_pk_testkey (skey);
    1922           2 :   if (err)
    1923             :     {
    1924           0 :       errtxt = _gcry_strerror (err);
    1925           0 :       goto failed;
    1926             :     }
    1927             : 
    1928           2 :   what = "sign";
    1929           2 :   errtxt = selftest_sign_2048 (pkey, skey);
    1930           2 :   if (errtxt)
    1931           0 :     goto failed;
    1932             : 
    1933           2 :   what = "encrypt";
    1934           2 :   errtxt = selftest_encr_2048 (pkey, skey);
    1935           2 :   if (errtxt)
    1936           0 :     goto failed;
    1937             : 
    1938           2 :   sexp_release (pkey);
    1939           2 :   sexp_release (skey);
    1940           2 :   return 0; /* Succeeded. */
    1941             : 
    1942             :  failed:
    1943           0 :   sexp_release (pkey);
    1944           0 :   sexp_release (skey);
    1945           0 :   if (report)
    1946           0 :     report ("pubkey", GCRY_PK_RSA, what, errtxt);
    1947           0 :   return GPG_ERR_SELFTEST_FAILED;
    1948             : }
    1949             : 
    1950             : 
    1951             : /* Run a full self-test for ALGO and return 0 on success.  */
    1952             : static gpg_err_code_t
    1953           2 : run_selftests (int algo, int extended, selftest_report_func_t report)
    1954             : {
    1955             :   gpg_err_code_t ec;
    1956             : 
    1957             :   (void)extended;
    1958             : 
    1959           2 :   switch (algo)
    1960             :     {
    1961             :     case GCRY_PK_RSA:
    1962           2 :       ec = selftests_rsa (report);
    1963           2 :       break;
    1964             :     default:
    1965           0 :       ec = GPG_ERR_PUBKEY_ALGO;
    1966           0 :       break;
    1967             : 
    1968             :     }
    1969           2 :   return ec;
    1970             : }
    1971             : 
    1972             : 
    1973             : 
    1974             : 
    1975             : gcry_pk_spec_t _gcry_pubkey_spec_rsa =
    1976             :   {
    1977             :     GCRY_PK_RSA, { 0, 1 },
    1978             :     (GCRY_PK_USAGE_SIGN | GCRY_PK_USAGE_ENCR),
    1979             :     "RSA", rsa_names,
    1980             :     "ne", "nedpqu", "a", "s", "n",
    1981             :     rsa_generate,
    1982             :     rsa_check_secret_key,
    1983             :     rsa_encrypt,
    1984             :     rsa_decrypt,
    1985             :     rsa_sign,
    1986             :     rsa_verify,
    1987             :     rsa_get_nbits,
    1988             :     run_selftests,
    1989             :     compute_keygrip
    1990             :   };

Generated by: LCOV version 1.13