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authorSoniEx2 <endermoneymod@gmail.com>2021-04-09 07:19:03 -0300
committerSoniEx2 <endermoneymod@gmail.com>2021-04-09 07:19:03 -0300
commit0e752a6e215aee21dc73da097c3225495d54a5b6 (patch)
treeb81be02cbf2f06aebf322ac4a5d014b44176bba5 /libotr/libgcrypt-1.8.7/cipher/rsa.c
parent7754076c715285173311a1b6811ce377950e18a6 (diff)
Add libotr/etc sources
Diffstat (limited to 'libotr/libgcrypt-1.8.7/cipher/rsa.c')
-rw-r--r--libotr/libgcrypt-1.8.7/cipher/rsa.c2035
1 files changed, 2035 insertions, 0 deletions
diff --git a/libotr/libgcrypt-1.8.7/cipher/rsa.c b/libotr/libgcrypt-1.8.7/cipher/rsa.c
new file mode 100644
index 0000000..575ea94
--- /dev/null
+++ b/libotr/libgcrypt-1.8.7/cipher/rsa.c
@@ -0,0 +1,2035 @@
+/* rsa.c - RSA implementation
+ * Copyright (C) 1997, 1998, 1999 by Werner Koch (dd9jn)
+ * Copyright (C) 2000, 2001, 2002, 2003, 2008 Free Software Foundation, Inc.
+ *
+ * This file is part of Libgcrypt.
+ *
+ * Libgcrypt is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU Lesser General Public License as
+ * published by the Free Software Foundation; either version 2.1 of
+ * the License, or (at your option) any later version.
+ *
+ * Libgcrypt is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this program; if not, see <http://www.gnu.org/licenses/>.
+ */
+
+/* This code uses an algorithm protected by U.S. Patent #4,405,829
+   which expired on September 20, 2000.  The patent holder placed that
+   patent into the public domain on Sep 6th, 2000.
+*/
+
+#include <config.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <errno.h>
+
+#include "g10lib.h"
+#include "mpi.h"
+#include "cipher.h"
+#include "pubkey-internal.h"
+
+
+typedef struct
+{
+  gcry_mpi_t n;	    /* modulus */
+  gcry_mpi_t e;	    /* exponent */
+} RSA_public_key;
+
+
+typedef struct
+{
+  gcry_mpi_t n;	    /* public modulus */
+  gcry_mpi_t e;	    /* public exponent */
+  gcry_mpi_t d;	    /* exponent */
+  gcry_mpi_t p;	    /* prime  p. */
+  gcry_mpi_t q;	    /* prime  q. */
+  gcry_mpi_t u;	    /* inverse of p mod q. */
+} RSA_secret_key;
+
+
+static const char *rsa_names[] =
+  {
+    "rsa",
+    "openpgp-rsa",
+    "oid.1.2.840.113549.1.1.1",
+    NULL,
+  };
+
+
+/* A sample 2048 bit RSA key used for the selftests.  */
+static const char sample_secret_key[] =
+" (private-key"
+"  (rsa"
+"  (n #009F56231A3D82E3E7D613D59D53E9AB921BEF9F08A782AED0B6E46ADBC853EC"
+"      7C71C422435A3CD8FA0DB9EFD55CD3295BADC4E8E2E2B94E15AE82866AB8ADE8"
+"      7E469FAE76DC3577DE87F1F419C4EB41123DFAF8D16922D5EDBAD6E9076D5A1C"
+"      958106F0AE5E2E9193C6B49124C64C2A241C4075D4AF16299EB87A6585BAE917"
+"      DEF27FCDD165764D069BC18D16527B29DAAB549F7BBED4A7C6A842D203ED6613"
+"      6E2411744E432CD26D940132F25874483DCAEECDFD95744819CBCF1EA810681C"
+"      42907EBCB1C7EAFBE75C87EC32C5413EA10476545D3FC7B2ADB1B66B7F200918"
+"      664B0E5261C2895AA28B0DE321E921B3F877172CCCAB81F43EF98002916156F6CB#)"
+"   (e #010001#)"
+"   (d #07EF82500C403899934FE993AC5A36F14FF2DF38CF1EF315F205EE4C83EDAA19"
+"       8890FC23DE9AA933CAFB37B6A8A8DBA675411958337287310D3FF2F1DDC0CB93"
+"       7E70F57F75F833C021852B631D2B9A520E4431A03C5C3FCB5742DCD841D9FB12"
+"       771AA1620DCEC3F1583426066ED9DC3F7028C5B59202C88FDF20396E2FA0EC4F"
+"       5A22D9008F3043673931BC14A5046D6327398327900867E39CC61B2D1AFE2F48"
+"       EC8E1E3861C68D257D7425F4E6F99ABD77D61F10CA100EFC14389071831B33DD"
+"       69CC8EABEF860D1DC2AAA84ABEAE5DFC91BC124DAF0F4C8EF5BBEA436751DE84"
+"       3A8063E827A024466F44C28614F93B0732A100D4A0D86D532FE1E22C7725E401#)"
+"   (p #00C29D438F115825779631CD665A5739367F3E128ADC29766483A46CA80897E0"
+"       79B32881860B8F9A6A04C2614A904F6F2578DAE13EA67CD60AE3D0AA00A1FF9B"
+"       441485E44B2DC3D0B60260FBFE073B5AC72FAF67964DE15C8212C389D20DB9CF"
+"       54AF6AEF5C4196EAA56495DD30CF709F499D5AB30CA35E086C2A1589D6283F1783#)"
+"   (q #00D1984135231CB243FE959C0CBEF551EDD986AD7BEDF71EDF447BE3DA27AF46"
+"       79C974A6FA69E4D52FE796650623DE70622862713932AA2FD9F2EC856EAEAA77"
+"       88B4EA6084DC81C902F014829B18EA8B2666EC41586818E0589E18876065F97E"
+"       8D22CE2DA53A05951EC132DCEF41E70A9C35F4ACC268FFAC2ADF54FA1DA110B919#)"
+"   (u #67CF0FD7635205DD80FA814EE9E9C267C17376BF3209FB5D1BC42890D2822A04"
+"       479DAF4D5B6ED69D0F8D1AF94164D07F8CD52ECEFE880641FA0F41DDAB1785E4"
+"       A37A32F997A516480B4CD4F6482B9466A1765093ED95023CA32D5EDC1E34CEE9"
+"       AF595BC51FE43C4BF810FA225AF697FB473B83815966188A4312C048B885E3F7#)))";
+
+/* A sample 2048 bit RSA key used for the selftests (public only).  */
+static const char sample_public_key[] =
+" (public-key"
+"  (rsa"
+"   (n #009F56231A3D82E3E7D613D59D53E9AB921BEF9F08A782AED0B6E46ADBC853EC"
+"       7C71C422435A3CD8FA0DB9EFD55CD3295BADC4E8E2E2B94E15AE82866AB8ADE8"
+"       7E469FAE76DC3577DE87F1F419C4EB41123DFAF8D16922D5EDBAD6E9076D5A1C"
+"       958106F0AE5E2E9193C6B49124C64C2A241C4075D4AF16299EB87A6585BAE917"
+"       DEF27FCDD165764D069BC18D16527B29DAAB549F7BBED4A7C6A842D203ED6613"
+"       6E2411744E432CD26D940132F25874483DCAEECDFD95744819CBCF1EA810681C"
+"       42907EBCB1C7EAFBE75C87EC32C5413EA10476545D3FC7B2ADB1B66B7F200918"
+"       664B0E5261C2895AA28B0DE321E921B3F877172CCCAB81F43EF98002916156F6CB#)"
+"   (e #010001#)))";
+
+
+static int test_keys (RSA_secret_key *sk, unsigned nbits);
+static int  check_secret_key (RSA_secret_key *sk);
+static void public (gcry_mpi_t output, gcry_mpi_t input, RSA_public_key *skey);
+static void secret (gcry_mpi_t output, gcry_mpi_t input, RSA_secret_key *skey);
+static unsigned int rsa_get_nbits (gcry_sexp_t parms);
+
+
+/* Check that a freshly generated key actually works.  Returns 0 on success. */
+static int
+test_keys (RSA_secret_key *sk, unsigned int nbits)
+{
+  int result = -1; /* Default to failure.  */
+  RSA_public_key pk;
+  gcry_mpi_t plaintext = mpi_new (nbits);
+  gcry_mpi_t ciphertext = mpi_new (nbits);
+  gcry_mpi_t decr_plaintext = mpi_new (nbits);
+  gcry_mpi_t signature = mpi_new (nbits);
+
+  /* Put the relevant parameters into a public key structure.  */
+  pk.n = sk->n;
+  pk.e = sk->e;
+
+  /* Create a random plaintext.  */
+  _gcry_mpi_randomize (plaintext, nbits, GCRY_WEAK_RANDOM);
+
+  /* Encrypt using the public key.  */
+  public (ciphertext, plaintext, &pk);
+
+  /* Check that the cipher text does not match the plaintext.  */
+  if (!mpi_cmp (ciphertext, plaintext))
+    goto leave; /* Ciphertext is identical to the plaintext.  */
+
+  /* Decrypt using the secret key.  */
+  secret (decr_plaintext, ciphertext, sk);
+
+  /* Check that the decrypted plaintext matches the original plaintext.  */
+  if (mpi_cmp (decr_plaintext, plaintext))
+    goto leave; /* Plaintext does not match.  */
+
+  /* Create another random plaintext as data for signature checking.  */
+  _gcry_mpi_randomize (plaintext, nbits, GCRY_WEAK_RANDOM);
+
+  /* Use the RSA secret function to create a signature of the plaintext.  */
+  secret (signature, plaintext, sk);
+
+  /* Use the RSA public function to verify this signature.  */
+  public (decr_plaintext, signature, &pk);
+  if (mpi_cmp (decr_plaintext, plaintext))
+    goto leave; /* Signature does not match.  */
+
+  /* Modify the signature and check that the signing fails.  */
+  mpi_add_ui (signature, signature, 1);
+  public (decr_plaintext, signature, &pk);
+  if (!mpi_cmp (decr_plaintext, plaintext))
+    goto leave; /* Signature matches but should not.  */
+
+  result = 0; /* All tests succeeded.  */
+
+ leave:
+  _gcry_mpi_release (signature);
+  _gcry_mpi_release (decr_plaintext);
+  _gcry_mpi_release (ciphertext);
+  _gcry_mpi_release (plaintext);
+  return result;
+}
+
+
+/* Callback used by the prime generation to test whether the exponent
+   is suitable. Returns 0 if the test has been passed. */
+static int
+check_exponent (void *arg, gcry_mpi_t a)
+{
+  gcry_mpi_t e = arg;
+  gcry_mpi_t tmp;
+  int result;
+
+  mpi_sub_ui (a, a, 1);
+  tmp = _gcry_mpi_alloc_like (a);
+  result = !mpi_gcd(tmp, e, a); /* GCD is not 1. */
+  _gcry_mpi_release (tmp);
+  mpi_add_ui (a, a, 1);
+  return result;
+}
+
+/****************
+ * Generate a key pair with a key of size NBITS.
+ * USE_E = 0 let Libcgrypt decide what exponent to use.
+ *       = 1 request the use of a "secure" exponent; this is required by some
+ *           specification to be 65537.
+ *       > 2 Use this public exponent.  If the given exponent
+ *           is not odd one is internally added to it.
+ * TRANSIENT_KEY:  If true, generate the primes using the standard RNG.
+ * Returns: 2 structures filled with all needed values
+ */
+static gpg_err_code_t
+generate_std (RSA_secret_key *sk, unsigned int nbits, unsigned long use_e,
+              int transient_key)
+{
+  gcry_mpi_t p, q; /* the two primes */
+  gcry_mpi_t d;    /* the private key */
+  gcry_mpi_t u;
+  gcry_mpi_t t1, t2;
+  gcry_mpi_t n;    /* the public key */
+  gcry_mpi_t e;    /* the exponent */
+  gcry_mpi_t phi;  /* helper: (p-1)(q-1) */
+  gcry_mpi_t g;
+  gcry_mpi_t f;
+  gcry_random_level_t random_level;
+
+  if (fips_mode ())
+    {
+      if (nbits < 1024)
+        return GPG_ERR_INV_VALUE;
+      if (transient_key)
+        return GPG_ERR_INV_VALUE;
+    }
+
+  /* The random quality depends on the transient_key flag.  */
+  random_level = transient_key ? GCRY_STRONG_RANDOM : GCRY_VERY_STRONG_RANDOM;
+
+  /* Make sure that nbits is even so that we generate p, q of equal size. */
+  if ( (nbits&1) )
+    nbits++;
+
+  if (use_e == 1)   /* Alias for a secure value */
+    use_e = 65537;  /* as demanded by Sphinx. */
+
+  /* Public exponent:
+     In general we use 41 as this is quite fast and more secure than the
+     commonly used 17.  Benchmarking the RSA verify function
+     with a 1024 bit key yields (2001-11-08):
+     e=17    0.54 ms
+     e=41    0.75 ms
+     e=257   0.95 ms
+     e=65537 1.80 ms
+  */
+  e = mpi_alloc( (32+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB );
+  if (!use_e)
+    mpi_set_ui (e, 41);     /* This is a reasonable secure and fast value */
+  else
+    {
+      use_e |= 1; /* make sure this is odd */
+      mpi_set_ui (e, use_e);
+    }
+
+  n = mpi_new (nbits);
+
+  p = q = NULL;
+  do
+    {
+      /* select two (very secret) primes */
+      if (p)
+        _gcry_mpi_release (p);
+      if (q)
+        _gcry_mpi_release (q);
+      if (use_e)
+        { /* Do an extra test to ensure that the given exponent is
+             suitable. */
+          p = _gcry_generate_secret_prime (nbits/2, random_level,
+                                           check_exponent, e);
+          q = _gcry_generate_secret_prime (nbits/2, random_level,
+                                           check_exponent, e);
+        }
+      else
+        { /* We check the exponent later. */
+          p = _gcry_generate_secret_prime (nbits/2, random_level, NULL, NULL);
+          q = _gcry_generate_secret_prime (nbits/2, random_level, NULL, NULL);
+        }
+      if (mpi_cmp (p, q) > 0 ) /* p shall be smaller than q (for calc of u)*/
+        mpi_swap(p,q);
+      /* calculate the modulus */
+      mpi_mul( n, p, q );
+    }
+  while ( mpi_get_nbits(n) != nbits );
+
+  /* calculate Euler totient: phi = (p-1)(q-1) */
+  t1 = mpi_alloc_secure( mpi_get_nlimbs(p) );
+  t2 = mpi_alloc_secure( mpi_get_nlimbs(p) );
+  phi   = mpi_snew ( nbits );
+  g	= mpi_snew ( nbits );
+  f	= mpi_snew ( nbits );
+  mpi_sub_ui( t1, p, 1 );
+  mpi_sub_ui( t2, q, 1 );
+  mpi_mul( phi, t1, t2 );
+  mpi_gcd (g, t1, t2);
+  mpi_fdiv_q(f, phi, g);
+
+  while (!mpi_gcd(t1, e, phi)) /* (while gcd is not 1) */
+    {
+      if (use_e)
+        BUG (); /* The prime generator already made sure that we
+                   never can get to here. */
+      mpi_add_ui (e, e, 2);
+    }
+
+  /* calculate the secret key d = e^-1 mod phi */
+  d = mpi_snew ( nbits );
+  mpi_invm (d, e, f );
+  /* calculate the inverse of p and q (used for chinese remainder theorem)*/
+  u = mpi_snew ( nbits );
+  mpi_invm(u, p, q );
+
+  if( DBG_CIPHER )
+    {
+      log_mpidump("  p= ", p );
+      log_mpidump("  q= ", q );
+      log_mpidump("phi= ", phi );
+      log_mpidump("  g= ", g );
+      log_mpidump("  f= ", f );
+      log_mpidump("  n= ", n );
+      log_mpidump("  e= ", e );
+      log_mpidump("  d= ", d );
+      log_mpidump("  u= ", u );
+    }
+
+  _gcry_mpi_release (t1);
+  _gcry_mpi_release (t2);
+  _gcry_mpi_release (phi);
+  _gcry_mpi_release (f);
+  _gcry_mpi_release (g);
+
+  sk->n = n;
+  sk->e = e;
+  sk->p = p;
+  sk->q = q;
+  sk->d = d;
+  sk->u = u;
+
+  /* Now we can test our keys. */
+  if (test_keys (sk, nbits - 64))
+    {
+      _gcry_mpi_release (sk->n); sk->n = NULL;
+      _gcry_mpi_release (sk->e); sk->e = NULL;
+      _gcry_mpi_release (sk->p); sk->p = NULL;
+      _gcry_mpi_release (sk->q); sk->q = NULL;
+      _gcry_mpi_release (sk->d); sk->d = NULL;
+      _gcry_mpi_release (sk->u); sk->u = NULL;
+      fips_signal_error ("self-test after key generation failed");
+      return GPG_ERR_SELFTEST_FAILED;
+    }
+
+  return 0;
+}
+
+
+/****************
+ * Generate a key pair with a key of size NBITS.
+ * USE_E = 0 let Libcgrypt decide what exponent to use.
+ *       = 1 request the use of a "secure" exponent; this is required by some
+ *           specification to be 65537.
+ *       > 2 Use this public exponent.  If the given exponent
+ *           is not odd one is internally added to it.
+ * TESTPARMS: If set, do not generate but test whether the p,q is probably prime
+ *            Returns key with zeroes to not break code calling this function.
+ * TRANSIENT_KEY:  If true, generate the primes using the standard RNG.
+ * Returns: 2 structures filled with all needed values
+ */
+static gpg_err_code_t
+generate_fips (RSA_secret_key *sk, unsigned int nbits, unsigned long use_e,
+               gcry_sexp_t testparms, int transient_key)
+{
+  gcry_mpi_t p, q; /* the two primes */
+  gcry_mpi_t d;    /* the private key */
+  gcry_mpi_t u;
+  gcry_mpi_t p1, q1;
+  gcry_mpi_t n;    /* the public key */
+  gcry_mpi_t e;    /* the exponent */
+  gcry_mpi_t g;
+  gcry_mpi_t minp;
+  gcry_mpi_t diff, mindiff;
+  gcry_random_level_t random_level;
+  unsigned int pbits = nbits/2;
+  unsigned int i;
+  int pqswitch;
+  gpg_err_code_t ec = GPG_ERR_NO_PRIME;
+
+  if (nbits < 1024 || (nbits & 0x1FF))
+    return GPG_ERR_INV_VALUE;
+  if (_gcry_enforced_fips_mode() && nbits != 2048 && nbits != 3072)
+      return GPG_ERR_INV_VALUE;
+
+  /* The random quality depends on the transient_key flag.  */
+  random_level = transient_key ? GCRY_STRONG_RANDOM : GCRY_VERY_STRONG_RANDOM;
+
+  if (testparms)
+    {
+      /* Parameters to derive the key are given.  */
+      /* Note that we explicitly need to setup the values of tbl
+         because some compilers (e.g. OpenWatcom, IRIX) don't allow to
+         initialize a structure with automatic variables.  */
+      struct { const char *name; gcry_mpi_t *value; } tbl[] = {
+        { "e" },
+        { "p" },
+        { "q" },
+        { NULL }
+      };
+      int idx;
+      gcry_sexp_t oneparm;
+
+      tbl[0].value = &e;
+      tbl[1].value = &p;
+      tbl[2].value = &q;
+
+      for (idx=0; tbl[idx].name; idx++)
+        {
+          oneparm = sexp_find_token (testparms, tbl[idx].name, 0);
+          if (oneparm)
+            {
+              *tbl[idx].value = sexp_nth_mpi (oneparm, 1, GCRYMPI_FMT_USG);
+              sexp_release (oneparm);
+            }
+        }
+      for (idx=0; tbl[idx].name; idx++)
+        if (!*tbl[idx].value)
+          break;
+      if (tbl[idx].name)
+        {
+          /* At least one parameter is missing.  */
+          for (idx=0; tbl[idx].name; idx++)
+            _gcry_mpi_release (*tbl[idx].value);
+          return GPG_ERR_MISSING_VALUE;
+        }
+    }
+  else
+    {
+      if (use_e < 65537)
+        use_e = 65537;  /* This is the smallest value allowed by FIPS */
+
+      e = mpi_alloc ((32+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB);
+
+      use_e |= 1; /* make sure this is odd */
+      mpi_set_ui (e, use_e);
+
+      p = mpi_snew (pbits);
+      q = mpi_snew (pbits);
+    }
+
+  n = mpi_new (nbits);
+  d = mpi_snew (nbits);
+  u = mpi_snew (nbits);
+
+  /* prepare approximate minimum p and q */
+  minp = mpi_new (pbits);
+  mpi_set_ui (minp, 0xB504F334);
+  mpi_lshift (minp, minp, pbits - 32);
+
+  /* prepare minimum p and q difference */
+  diff = mpi_new (pbits);
+  mindiff = mpi_new (pbits - 99);
+  mpi_set_ui (mindiff, 1);
+  mpi_lshift (mindiff, mindiff, pbits - 100);
+
+  p1 = mpi_snew (pbits);
+  q1 = mpi_snew (pbits);
+  g  = mpi_snew (pbits);
+
+ retry:
+  /* generate p and q */
+  for (i = 0; i < 5 * pbits; i++)
+    {
+    ploop:
+      if (!testparms)
+        {
+          _gcry_mpi_randomize (p, pbits, random_level);
+        }
+      if (mpi_cmp (p, minp) < 0)
+        {
+          if (testparms)
+            goto err;
+          goto ploop;
+        }
+
+      mpi_sub_ui (p1, p, 1);
+      if (mpi_gcd (g, p1, e))
+        {
+          if (_gcry_fips186_4_prime_check (p, pbits) != GPG_ERR_NO_ERROR)
+            {
+              /* not a prime */
+              if (testparms)
+                goto err;
+            }
+          else
+            break;
+        }
+      else if (testparms)
+        goto err;
+    }
+  if (i >= 5 * pbits)
+    goto err;
+
+  for (i = 0; i < 5 * pbits; i++)
+    {
+    qloop:
+      if (!testparms)
+        {
+          _gcry_mpi_randomize (q, pbits, random_level);
+        }
+      if (mpi_cmp (q, minp) < 0)
+        {
+          if (testparms)
+            goto err;
+          goto qloop;
+        }
+      if (mpi_cmp (p, q) > 0)
+        {
+          pqswitch = 1;
+          mpi_sub (diff, p, q);
+        }
+      else
+        {
+          pqswitch = 0;
+          mpi_sub (diff, q, p);
+        }
+      if (mpi_cmp (diff, mindiff) < 0)
+        {
+          if (testparms)
+            goto err;
+          goto qloop;
+        }
+
+      mpi_sub_ui (q1, q, 1);
+      if (mpi_gcd (g, q1, e))
+        {
+          if (_gcry_fips186_4_prime_check (q, pbits) != GPG_ERR_NO_ERROR)
+            {
+              /* not a prime */
+              if (testparms)
+                goto err;
+            }
+          else
+            break;
+        }
+      else if (testparms)
+        goto err;
+    }
+  if (i >= 5 * pbits)
+    goto err;
+
+  if (testparms)
+    {
+      mpi_clear (p);
+      mpi_clear (q);
+    }
+  else
+    {
+      gcry_mpi_t f;
+
+      if (pqswitch)
+        {
+          gcry_mpi_t tmp;
+
+          tmp = p;
+          p = q;
+          q = tmp;
+        }
+
+      f = mpi_snew (nbits);
+
+      /* calculate the modulus */
+      mpi_mul (n, p, q);
+
+      /* calculate the secret key d = e^1 mod phi */
+      mpi_gcd (g, p1, q1);
+      mpi_fdiv_q (f, p1, g);
+      mpi_mul (f, f, q1);
+
+      mpi_invm (d, e, f);
+
+      _gcry_mpi_release (f);
+
+      if (mpi_get_nbits (d) < pbits)
+        goto retry;
+
+      /* calculate the inverse of p and q (used for chinese remainder theorem)*/
+      mpi_invm (u, p, q );
+    }
+
+  ec = 0;
+
+  if (DBG_CIPHER)
+    {
+      log_mpidump("  p= ", p );
+      log_mpidump("  q= ", q );
+      log_mpidump("  n= ", n );
+      log_mpidump("  e= ", e );
+      log_mpidump("  d= ", d );
+      log_mpidump("  u= ", u );
+    }
+
+ err:
+
+  _gcry_mpi_release (p1);
+  _gcry_mpi_release (q1);
+  _gcry_mpi_release (g);
+  _gcry_mpi_release (minp);
+  _gcry_mpi_release (mindiff);
+  _gcry_mpi_release (diff);
+
+  sk->n = n;
+  sk->e = e;
+  sk->p = p;
+  sk->q = q;
+  sk->d = d;
+  sk->u = u;
+
+  /* Now we can test our keys. */
+  if (ec || (!testparms && test_keys (sk, nbits - 64)))
+    {
+      _gcry_mpi_release (sk->n); sk->n = NULL;
+      _gcry_mpi_release (sk->e); sk->e = NULL;
+      _gcry_mpi_release (sk->p); sk->p = NULL;
+      _gcry_mpi_release (sk->q); sk->q = NULL;
+      _gcry_mpi_release (sk->d); sk->d = NULL;
+      _gcry_mpi_release (sk->u); sk->u = NULL;
+      if (!ec)
+        {
+          fips_signal_error ("self-test after key generation failed");
+          return GPG_ERR_SELFTEST_FAILED;
+        }
+    }
+
+  return ec;
+}
+
+
+/* Helper for generate_x931.  */
+static gcry_mpi_t
+gen_x931_parm_xp (unsigned int nbits)
+{
+  gcry_mpi_t xp;
+
+  xp = mpi_snew (nbits);
+  _gcry_mpi_randomize (xp, nbits, GCRY_VERY_STRONG_RANDOM);
+
+  /* The requirement for Xp is:
+
+       sqrt{2}*2^{nbits-1} <= xp <= 2^{nbits} - 1
+
+     We set the two high order bits to 1 to satisfy the lower bound.
+     By using mpi_set_highbit we make sure that the upper bound is
+     satisfied as well.  */
+  mpi_set_highbit (xp, nbits-1);
+  mpi_set_bit (xp, nbits-2);
+  gcry_assert ( mpi_get_nbits (xp) == nbits );
+
+  return xp;
+}
+
+
+/* Helper for generate_x931.  */
+static gcry_mpi_t
+gen_x931_parm_xi (void)
+{
+  gcry_mpi_t xi;
+
+  xi = mpi_snew (101);
+  _gcry_mpi_randomize (xi, 101, GCRY_VERY_STRONG_RANDOM);
+  mpi_set_highbit (xi, 100);
+  gcry_assert ( mpi_get_nbits (xi) == 101 );
+
+  return xi;
+}
+
+
+
+/* Variant of the standard key generation code using the algorithm
+   from X9.31.  Using this algorithm has the advantage that the
+   generation can be made deterministic which is required for CAVS
+   testing.  */
+static gpg_err_code_t
+generate_x931 (RSA_secret_key *sk, unsigned int nbits, unsigned long e_value,
+               gcry_sexp_t deriveparms, int *swapped)
+{
+  gcry_mpi_t p, q; /* The two primes.  */
+  gcry_mpi_t e;    /* The public exponent.  */
+  gcry_mpi_t n;    /* The public key.  */
+  gcry_mpi_t d;    /* The private key */
+  gcry_mpi_t u;    /* The inverse of p and q.  */
+  gcry_mpi_t pm1;  /* p - 1  */
+  gcry_mpi_t qm1;  /* q - 1  */
+  gcry_mpi_t phi;  /* Euler totient.  */
+  gcry_mpi_t f, g; /* Helper.  */
+
+  *swapped = 0;
+
+  if (e_value == 1)   /* Alias for a secure value. */
+    e_value = 65537;
+
+  /* Point 1 of section 4.1:  k = 1024 + 256s with S >= 0  */
+  if (nbits < 1024 || (nbits % 256))
+    return GPG_ERR_INV_VALUE;
+
+  /* Point 2:  2 <= bitlength(e) < 2^{k-2}
+     Note that we do not need to check the upper bound because we use
+     an unsigned long for E and thus there is no way for E to reach
+     that limit.  */
+  if (e_value < 3)
+    return GPG_ERR_INV_VALUE;
+
+  /* Our implementation requires E to be odd.  */
+  if (!(e_value & 1))
+    return GPG_ERR_INV_VALUE;
+
+  /* Point 3:  e > 0 or e 0 if it is to be randomly generated.
+     We support only a fixed E and thus there is no need for an extra test.  */
+
+
+  /* Compute or extract the derive parameters.  */
+  {
+    gcry_mpi_t xp1 = NULL;
+    gcry_mpi_t xp2 = NULL;
+    gcry_mpi_t xp  = NULL;
+    gcry_mpi_t xq1 = NULL;
+    gcry_mpi_t xq2 = NULL;
+    gcry_mpi_t xq  = NULL;
+    gcry_mpi_t tmpval;
+
+    if (!deriveparms)
+      {
+        /* Not given: Generate them.  */
+        xp = gen_x931_parm_xp (nbits/2);
+        /* Make sure that |xp - xq| > 2^{nbits - 100} holds.  */
+        tmpval = mpi_snew (nbits/2);
+        do
+          {
+            _gcry_mpi_release (xq);
+            xq = gen_x931_parm_xp (nbits/2);
+            mpi_sub (tmpval, xp, xq);
+          }
+        while (mpi_get_nbits (tmpval) <= (nbits/2 - 100));
+        _gcry_mpi_release (tmpval);
+
+        xp1 = gen_x931_parm_xi ();
+        xp2 = gen_x931_parm_xi ();
+        xq1 = gen_x931_parm_xi ();
+        xq2 = gen_x931_parm_xi ();
+
+      }
+    else
+      {
+        /* Parameters to derive the key are given.  */
+        /* Note that we explicitly need to setup the values of tbl
+           because some compilers (e.g. OpenWatcom, IRIX) don't allow
+           to initialize a structure with automatic variables.  */
+        struct { const char *name; gcry_mpi_t *value; } tbl[] = {
+          { "Xp1" },
+          { "Xp2" },
+          { "Xp"  },
+          { "Xq1" },
+          { "Xq2" },
+          { "Xq"  },
+          { NULL }
+        };
+        int idx;
+        gcry_sexp_t oneparm;
+
+        tbl[0].value = &xp1;
+        tbl[1].value = &xp2;
+        tbl[2].value = &xp;
+        tbl[3].value = &xq1;
+        tbl[4].value = &xq2;
+        tbl[5].value = &xq;
+
+        for (idx=0; tbl[idx].name; idx++)
+          {
+            oneparm = sexp_find_token (deriveparms, tbl[idx].name, 0);
+            if (oneparm)
+              {
+                *tbl[idx].value = sexp_nth_mpi (oneparm, 1, GCRYMPI_FMT_USG);
+                sexp_release (oneparm);
+              }
+          }
+        for (idx=0; tbl[idx].name; idx++)
+          if (!*tbl[idx].value)
+            break;
+        if (tbl[idx].name)
+          {
+            /* At least one parameter is missing.  */
+            for (idx=0; tbl[idx].name; idx++)
+              _gcry_mpi_release (*tbl[idx].value);
+            return GPG_ERR_MISSING_VALUE;
+          }
+      }
+
+    e = mpi_alloc_set_ui (e_value);
+
+    /* Find two prime numbers.  */
+    p = _gcry_derive_x931_prime (xp, xp1, xp2, e, NULL, NULL);
+    q = _gcry_derive_x931_prime (xq, xq1, xq2, e, NULL, NULL);
+    _gcry_mpi_release (xp);  xp  = NULL;
+    _gcry_mpi_release (xp1); xp1 = NULL;
+    _gcry_mpi_release (xp2); xp2 = NULL;
+    _gcry_mpi_release (xq);  xq  = NULL;
+    _gcry_mpi_release (xq1); xq1 = NULL;
+    _gcry_mpi_release (xq2); xq2 = NULL;
+    if (!p || !q)
+      {
+        _gcry_mpi_release (p);
+        _gcry_mpi_release (q);
+        _gcry_mpi_release (e);
+        return GPG_ERR_NO_PRIME;
+      }
+  }
+
+
+  /* Compute the public modulus.  We make sure that p is smaller than
+     q to allow the use of the CRT.  */
+  if (mpi_cmp (p, q) > 0 )
+    {
+      mpi_swap (p, q);
+      *swapped = 1;
+    }
+  n = mpi_new (nbits);
+  mpi_mul (n, p, q);
+
+  /* Compute the Euler totient:  phi = (p-1)(q-1)  */
+  pm1 = mpi_snew (nbits/2);
+  qm1 = mpi_snew (nbits/2);
+  phi = mpi_snew (nbits);
+  mpi_sub_ui (pm1, p, 1);
+  mpi_sub_ui (qm1, q, 1);
+  mpi_mul (phi, pm1, qm1);
+
+  g = mpi_snew (nbits);
+  gcry_assert (mpi_gcd (g, e, phi));
+
+  /* Compute: f = lcm(p-1,q-1) = phi / gcd(p-1,q-1) */
+  mpi_gcd (g, pm1, qm1);
+  f = pm1; pm1 = NULL;
+  _gcry_mpi_release (qm1); qm1 = NULL;
+  mpi_fdiv_q (f, phi, g);
+  _gcry_mpi_release (phi); phi = NULL;
+  d = g; g = NULL;
+  /* Compute the secret key:  d = e^{-1} mod lcm(p-1,q-1) */
+  mpi_invm (d, e, f);
+
+  /* Compute the inverse of p and q.  */
+  u = f; f = NULL;
+  mpi_invm (u, p, q );
+
+  if( DBG_CIPHER )
+    {
+      if (*swapped)
+        log_debug ("p and q are swapped\n");
+      log_mpidump("  p", p );
+      log_mpidump("  q", q );
+      log_mpidump("  n", n );
+      log_mpidump("  e", e );
+      log_mpidump("  d", d );
+      log_mpidump("  u", u );
+    }
+
+
+  sk->n = n;
+  sk->e = e;
+  sk->p = p;
+  sk->q = q;
+  sk->d = d;
+  sk->u = u;
+
+  /* Now we can test our keys. */
+  if (test_keys (sk, nbits - 64))
+    {
+      _gcry_mpi_release (sk->n); sk->n = NULL;
+      _gcry_mpi_release (sk->e); sk->e = NULL;
+      _gcry_mpi_release (sk->p); sk->p = NULL;
+      _gcry_mpi_release (sk->q); sk->q = NULL;
+      _gcry_mpi_release (sk->d); sk->d = NULL;
+      _gcry_mpi_release (sk->u); sk->u = NULL;
+      fips_signal_error ("self-test after key generation failed");
+      return GPG_ERR_SELFTEST_FAILED;
+    }
+
+  return 0;
+}
+
+
+/****************
+ * Test whether the secret key is valid.
+ * Returns: true if this is a valid key.
+ */
+static int
+check_secret_key( RSA_secret_key *sk )
+{
+  int rc;
+  gcry_mpi_t temp = mpi_alloc( mpi_get_nlimbs(sk->p)*2 );
+
+  mpi_mul(temp, sk->p, sk->q );
+  rc = mpi_cmp( temp, sk->n );
+  mpi_free(temp);
+  return !rc;
+}
+
+
+
+/****************
+ * Public key operation. Encrypt INPUT with PKEY and put result into OUTPUT.
+ *
+ *	c = m^e mod n
+ *
+ * Where c is OUTPUT, m is INPUT and e,n are elements of PKEY.
+ */
+static void
+public(gcry_mpi_t output, gcry_mpi_t input, RSA_public_key *pkey )
+{
+  if( output == input )  /* powm doesn't like output and input the same */
+    {
+      gcry_mpi_t x = mpi_alloc( mpi_get_nlimbs(input)*2 );
+      mpi_powm( x, input, pkey->e, pkey->n );
+      mpi_set(output, x);
+      mpi_free(x);
+    }
+  else
+    mpi_powm( output, input, pkey->e, pkey->n );
+}
+
+#if 0
+static void
+stronger_key_check ( RSA_secret_key *skey )
+{
+  gcry_mpi_t t = mpi_alloc_secure ( 0 );
+  gcry_mpi_t t1 = mpi_alloc_secure ( 0 );
+  gcry_mpi_t t2 = mpi_alloc_secure ( 0 );
+  gcry_mpi_t phi = mpi_alloc_secure ( 0 );
+
+  /* check that n == p * q */
+  mpi_mul( t, skey->p, skey->q);
+  if (mpi_cmp( t, skey->n) )
+    log_info ( "RSA Oops: n != p * q\n" );
+
+  /* check that p is less than q */
+  if( mpi_cmp( skey->p, skey->q ) > 0 )
+    {
+      log_info ("RSA Oops: p >= q - fixed\n");
+      _gcry_mpi_swap ( skey->p, skey->q);
+    }
+
+    /* check that e divides neither p-1 nor q-1 */
+    mpi_sub_ui(t, skey->p, 1 );
+    mpi_fdiv_r(t, t, skey->e );
+    if ( !mpi_cmp_ui( t, 0) )
+        log_info ( "RSA Oops: e divides p-1\n" );
+    mpi_sub_ui(t, skey->q, 1 );
+    mpi_fdiv_r(t, t, skey->e );
+    if ( !mpi_cmp_ui( t, 0) )
+        log_info ( "RSA Oops: e divides q-1\n" );
+
+    /* check that d is correct */
+    mpi_sub_ui( t1, skey->p, 1 );
+    mpi_sub_ui( t2, skey->q, 1 );
+    mpi_mul( phi, t1, t2 );
+    gcry_mpi_gcd(t, t1, t2);
+    mpi_fdiv_q(t, phi, t);
+    mpi_invm(t, skey->e, t );
+    if ( mpi_cmp(t, skey->d ) )
+      {
+        log_info ( "RSA Oops: d is wrong - fixed\n");
+        mpi_set (skey->d, t);
+        log_printmpi ("  fixed d", skey->d);
+      }
+
+    /* check for correctness of u */
+    mpi_invm(t, skey->p, skey->q );
+    if ( mpi_cmp(t, skey->u ) )
+      {
+        log_info ( "RSA Oops: u is wrong - fixed\n");
+        mpi_set (skey->u, t);
+        log_printmpi ("  fixed u", skey->u);
+      }
+
+    log_info ( "RSA secret key check finished\n");
+
+    mpi_free (t);
+    mpi_free (t1);
+    mpi_free (t2);
+    mpi_free (phi);
+}
+#endif
+
+
+
+/* Secret key operation - standard version.
+ *
+ *	m = c^d mod n
+ */
+static void
+secret_core_std (gcry_mpi_t M, gcry_mpi_t C,
+                 gcry_mpi_t D, gcry_mpi_t N)
+{
+  mpi_powm (M, C, D, N);
+}
+
+
+/* Secret key operation - using the CRT.
+ *
+ *      m1 = c ^ (d mod (p-1)) mod p
+ *      m2 = c ^ (d mod (q-1)) mod q
+ *      h = u * (m2 - m1) mod q
+ *      m = m1 + h * p
+ */
+static void
+secret_core_crt (gcry_mpi_t M, gcry_mpi_t C,
+                 gcry_mpi_t D, unsigned int Nlimbs,
+                 gcry_mpi_t P, gcry_mpi_t Q, gcry_mpi_t U)
+{
+  gcry_mpi_t m1 = mpi_alloc_secure ( Nlimbs + 1 );
+  gcry_mpi_t m2 = mpi_alloc_secure ( Nlimbs + 1 );
+  gcry_mpi_t h  = mpi_alloc_secure ( Nlimbs + 1 );
+  gcry_mpi_t D_blind = mpi_alloc_secure ( Nlimbs + 1 );
+  gcry_mpi_t r;
+  unsigned int r_nbits;
+
+  r_nbits = mpi_get_nbits (P) / 4;
+  if (r_nbits < 96)
+    r_nbits = 96;
+  r = mpi_secure_new (r_nbits);
+
+  /* d_blind = (d mod (p-1)) + (p-1) * r            */
+  /* m1 = c ^ d_blind mod p */
+  _gcry_mpi_randomize (r, r_nbits, GCRY_WEAK_RANDOM);
+  mpi_set_highbit (r, r_nbits - 1);
+  mpi_sub_ui ( h, P, 1 );
+  mpi_mul ( D_blind, h, r );
+  mpi_fdiv_r ( h, D, h );
+  mpi_add ( D_blind, D_blind, h );
+  mpi_powm ( m1, C, D_blind, P );
+
+  /* d_blind = (d mod (q-1)) + (q-1) * r            */
+  /* m2 = c ^ d_blind mod q */
+  _gcry_mpi_randomize (r, r_nbits, GCRY_WEAK_RANDOM);
+  mpi_set_highbit (r, r_nbits - 1);
+  mpi_sub_ui ( h, Q, 1  );
+  mpi_mul ( D_blind, h, r );
+  mpi_fdiv_r ( h, D, h );
+  mpi_add ( D_blind, D_blind, h );
+  mpi_powm ( m2, C, D_blind, Q );
+
+  mpi_free ( r );
+  mpi_free ( D_blind );
+
+  /* h = u * ( m2 - m1 ) mod q */
+  mpi_sub ( h, m2, m1 );
+  if ( mpi_has_sign ( h ) )
+    mpi_add ( h, h, Q );
+  mpi_mulm ( h, U, h, Q );
+
+  /* m = m1 + h * p */
+  mpi_mul ( h, h, P );
+  mpi_add ( M, m1, h );
+
+  mpi_free ( h );
+  mpi_free ( m1 );
+  mpi_free ( m2 );
+}
+
+
+/* Secret key operation.
+ * Encrypt INPUT with SKEY and put result into
+ * OUTPUT.  SKEY has the secret key parameters.
+ */
+static void
+secret (gcry_mpi_t output, gcry_mpi_t input, RSA_secret_key *skey )
+{
+  /* Remove superfluous leading zeroes from INPUT.  */
+  mpi_normalize (input);
+
+  if (!skey->p || !skey->q || !skey->u)
+    {
+      secret_core_std (output, input, skey->d, skey->n);
+    }
+  else
+    {
+      secret_core_crt (output, input, skey->d, mpi_get_nlimbs (skey->n),
+                       skey->p, skey->q, skey->u);
+    }
+}
+
+
+static void
+secret_blinded (gcry_mpi_t output, gcry_mpi_t input,
+                RSA_secret_key *sk, unsigned int nbits)
+{
+  gcry_mpi_t r;	           /* Random number needed for blinding.  */
+  gcry_mpi_t ri;	   /* Modular multiplicative inverse of r.  */
+  gcry_mpi_t bldata;       /* Blinded data to decrypt.  */
+
+  /* First, we need a random number r between 0 and n - 1, which is
+   * relatively prime to n (i.e. it is neither p nor q).  The random
+   * number needs to be only unpredictable, thus we employ the
+   * gcry_create_nonce function by using GCRY_WEAK_RANDOM with
+   * gcry_mpi_randomize.  */
+  r  = mpi_snew (nbits);
+  ri = mpi_snew (nbits);
+  bldata = mpi_snew (nbits);
+
+  do
+    {
+      _gcry_mpi_randomize (r, nbits, GCRY_WEAK_RANDOM);
+      mpi_mod (r, r, sk->n);
+    }
+  while (!mpi_invm (ri, r, sk->n));
+
+  /* Do blinding.  We calculate: y = (x * r^e) mod n, where r is the
+   * random number, e is the public exponent, x is the non-blinded
+   * input data and n is the RSA modulus.  */
+  mpi_powm (bldata, r, sk->e, sk->n);
+  mpi_mulm (bldata, bldata, input, sk->n);
+
+  /* Perform decryption.  */
+  secret (output, bldata, sk);
+  _gcry_mpi_release (bldata);
+
+  /* Undo blinding.  Here we calculate: y = (x * r^-1) mod n, where x
+   * is the blinded decrypted data, ri is the modular multiplicative
+   * inverse of r and n is the RSA modulus.  */
+  mpi_mulm (output, output, ri, sk->n);
+
+  _gcry_mpi_release (r);
+  _gcry_mpi_release (ri);
+}
+
+
+/*********************************************
+ **************  interface  ******************
+ *********************************************/
+
+static gcry_err_code_t
+rsa_generate (const gcry_sexp_t genparms, gcry_sexp_t *r_skey)
+{
+  gpg_err_code_t ec;
+  unsigned int nbits;
+  unsigned long evalue;
+  RSA_secret_key sk;
+  gcry_sexp_t deriveparms;
+  int flags = 0;
+  gcry_sexp_t l1;
+  gcry_sexp_t swap_info = NULL;
+
+  memset (&sk, 0, sizeof sk);
+
+  ec = _gcry_pk_util_get_nbits (genparms, &nbits);
+  if (ec)
+    return ec;
+
+  ec = _gcry_pk_util_get_rsa_use_e (genparms, &evalue);
+  if (ec)
+    return ec;
+
+  /* Parse the optional flags list.  */
+  l1 = sexp_find_token (genparms, "flags", 0);
+  if (l1)
+    {
+      ec = _gcry_pk_util_parse_flaglist (l1, &flags, NULL);
+      sexp_release (l1);
+      if (ec)
+        return ec;
+    }
+
+  deriveparms = (genparms?
+                 sexp_find_token (genparms, "derive-parms", 0) : NULL);
+  if (!deriveparms)
+    {
+      /* Parse the optional "use-x931" flag. */
+      l1 = sexp_find_token (genparms, "use-x931", 0);
+      if (l1)
+        {
+          flags |= PUBKEY_FLAG_USE_X931;
+          sexp_release (l1);
+        }
+    }
+
+  if (deriveparms || (flags & PUBKEY_FLAG_USE_X931))
+    {
+      int swapped;
+      ec = generate_x931 (&sk, nbits, evalue, deriveparms, &swapped);
+      sexp_release (deriveparms);
+      if (!ec && swapped)
+        ec = sexp_new (&swap_info, "(misc-key-info(p-q-swapped))", 0, 1);
+    }
+  else
+    {
+      /* Parse the optional "transient-key" flag. */
+      if (!(flags & PUBKEY_FLAG_TRANSIENT_KEY))
+        {
+          l1 = sexp_find_token (genparms, "transient-key", 0);
+          if (l1)
+            {
+              flags |= PUBKEY_FLAG_TRANSIENT_KEY;
+              sexp_release (l1);
+            }
+        }
+      deriveparms = (genparms? sexp_find_token (genparms, "test-parms", 0)
+                     /**/    : NULL);
+
+      /* Generate.  */
+      if (deriveparms || fips_mode())
+        {
+          ec = generate_fips (&sk, nbits, evalue, deriveparms,
+                              !!(flags & PUBKEY_FLAG_TRANSIENT_KEY));
+        }
+      else
+        {
+          ec = generate_std (&sk, nbits, evalue,
+                             !!(flags & PUBKEY_FLAG_TRANSIENT_KEY));
+        }
+      sexp_release (deriveparms);
+    }
+
+  if (!ec)
+    {
+      ec = sexp_build (r_skey, NULL,
+                       "(key-data"
+                       " (public-key"
+                       "  (rsa(n%m)(e%m)))"
+                       " (private-key"
+                       "  (rsa(n%m)(e%m)(d%m)(p%m)(q%m)(u%m)))"
+                       " %S)",
+                       sk.n, sk.e,
+                       sk.n, sk.e, sk.d, sk.p, sk.q, sk.u,
+                       swap_info);
+    }
+
+  mpi_free (sk.n);
+  mpi_free (sk.e);
+  mpi_free (sk.p);
+  mpi_free (sk.q);
+  mpi_free (sk.d);
+  mpi_free (sk.u);
+  sexp_release (swap_info);
+
+  return ec;
+}
+
+
+static gcry_err_code_t
+rsa_check_secret_key (gcry_sexp_t keyparms)
+{
+  gcry_err_code_t rc;
+  RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
+
+  /* To check the key we need the optional parameters. */
+  rc = sexp_extract_param (keyparms, NULL, "nedpqu",
+                           &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
+                           NULL);
+  if (rc)
+    goto leave;
+
+  if (!check_secret_key (&sk))
+    rc = GPG_ERR_BAD_SECKEY;
+
+ leave:
+  _gcry_mpi_release (sk.n);
+  _gcry_mpi_release (sk.e);
+  _gcry_mpi_release (sk.d);
+  _gcry_mpi_release (sk.p);
+  _gcry_mpi_release (sk.q);
+  _gcry_mpi_release (sk.u);
+  if (DBG_CIPHER)
+    log_debug ("rsa_testkey    => %s\n", gpg_strerror (rc));
+  return rc;
+}
+
+
+static gcry_err_code_t
+rsa_encrypt (gcry_sexp_t *r_ciph, gcry_sexp_t s_data, gcry_sexp_t keyparms)
+{
+  gcry_err_code_t rc;
+  struct pk_encoding_ctx ctx;
+  gcry_mpi_t data = NULL;
+  RSA_public_key pk = {NULL, NULL};
+  gcry_mpi_t ciph = NULL;
+
+  _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_ENCRYPT,
+                                   rsa_get_nbits (keyparms));
+
+  /* Extract the data.  */
+  rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    log_mpidump ("rsa_encrypt data", data);
+  if (!data || mpi_is_opaque (data))
+    {
+      rc = GPG_ERR_INV_DATA;
+      goto leave;
+    }
+
+  /* Extract the key.  */
+  rc = sexp_extract_param (keyparms, NULL, "ne", &pk.n, &pk.e, NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    {
+      log_mpidump ("rsa_encrypt    n", pk.n);
+      log_mpidump ("rsa_encrypt    e", pk.e);
+    }
+
+  /* Do RSA computation and build result.  */
+  ciph = mpi_new (0);
+  public (ciph, data, &pk);
+  if (DBG_CIPHER)
+    log_mpidump ("rsa_encrypt  res", ciph);
+  if ((ctx.flags & PUBKEY_FLAG_FIXEDLEN))
+    {
+      /* We need to make sure to return the correct length to avoid
+         problems with missing leading zeroes.  */
+      unsigned char *em;
+      size_t emlen = (mpi_get_nbits (pk.n)+7)/8;
+
+      rc = _gcry_mpi_to_octet_string (&em, NULL, ciph, emlen);
+      if (!rc)
+        {
+          rc = sexp_build (r_ciph, NULL, "(enc-val(rsa(a%b)))", (int)emlen, em);
+          xfree (em);
+        }
+    }
+  else
+    rc = sexp_build (r_ciph, NULL, "(enc-val(rsa(a%m)))", ciph);
+
+ leave:
+  _gcry_mpi_release (ciph);
+  _gcry_mpi_release (pk.n);
+  _gcry_mpi_release (pk.e);
+  _gcry_mpi_release (data);
+  _gcry_pk_util_free_encoding_ctx (&ctx);
+  if (DBG_CIPHER)
+    log_debug ("rsa_encrypt    => %s\n", gpg_strerror (rc));
+  return rc;
+}
+
+
+static gcry_err_code_t
+rsa_decrypt (gcry_sexp_t *r_plain, gcry_sexp_t s_data, gcry_sexp_t keyparms)
+
+{
+  gpg_err_code_t rc;
+  struct pk_encoding_ctx ctx;
+  gcry_sexp_t l1 = NULL;
+  gcry_mpi_t data = NULL;
+  RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
+  gcry_mpi_t plain = NULL;
+  unsigned char *unpad = NULL;
+  size_t unpadlen = 0;
+
+  _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_DECRYPT,
+                                   rsa_get_nbits (keyparms));
+
+  /* Extract the data.  */
+  rc = _gcry_pk_util_preparse_encval (s_data, rsa_names, &l1, &ctx);
+  if (rc)
+    goto leave;
+  rc = sexp_extract_param (l1, NULL, "a", &data, NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_decrypt data", data);
+  if (mpi_is_opaque (data))
+    {
+      rc = GPG_ERR_INV_DATA;
+      goto leave;
+    }
+
+  /* Extract the key.  */
+  rc = sexp_extract_param (keyparms, NULL, "nedp?q?u?",
+                           &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
+                           NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    {
+      log_printmpi ("rsa_decrypt    n", sk.n);
+      log_printmpi ("rsa_decrypt    e", sk.e);
+      if (!fips_mode ())
+        {
+          log_printmpi ("rsa_decrypt    d", sk.d);
+          log_printmpi ("rsa_decrypt    p", sk.p);
+          log_printmpi ("rsa_decrypt    q", sk.q);
+          log_printmpi ("rsa_decrypt    u", sk.u);
+        }
+    }
+
+  /* Better make sure that there are no superfluous leading zeroes in
+     the input and it has not been "padded" using multiples of N.
+     This mitigates side-channel attacks (CVE-2013-4576).  */
+  mpi_normalize (data);
+  mpi_fdiv_r (data, data, sk.n);
+
+  /* Allocate MPI for the plaintext.  */
+  plain = mpi_snew (ctx.nbits);
+
+  /* We use blinding by default to mitigate timing attacks which can
+     be practically mounted over the network as shown by Brumley and
+     Boney in 2003.  */
+  if ((ctx.flags & PUBKEY_FLAG_NO_BLINDING))
+    secret (plain, data, &sk);
+  else
+    secret_blinded (plain, data, &sk, ctx.nbits);
+
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_decrypt  res", plain);
+
+  /* Reverse the encoding and build the s-expression.  */
+  switch (ctx.encoding)
+    {
+    case PUBKEY_ENC_PKCS1:
+      rc = _gcry_rsa_pkcs1_decode_for_enc (&unpad, &unpadlen, ctx.nbits, plain);
+      mpi_free (plain);
+      plain = NULL;
+      if (!rc)
+        rc = sexp_build (r_plain, NULL, "(value %b)", (int)unpadlen, unpad);
+      break;
+
+    case PUBKEY_ENC_OAEP:
+      rc = _gcry_rsa_oaep_decode (&unpad, &unpadlen,
+                                  ctx.nbits, ctx.hash_algo,
+                                  plain, ctx.label, ctx.labellen);
+      mpi_free (plain);
+      plain = NULL;
+      if (!rc)
+        rc = sexp_build (r_plain, NULL, "(value %b)", (int)unpadlen, unpad);
+      break;
+
+    default:
+      /* Raw format.  For backward compatibility we need to assume a
+         signed mpi by using the sexp format string "%m".  */
+      rc = sexp_build (r_plain, NULL,
+                       (ctx.flags & PUBKEY_FLAG_LEGACYRESULT)
+                       ? "%m":"(value %m)", plain);
+      break;
+    }
+
+ leave:
+  xfree (unpad);
+  _gcry_mpi_release (plain);
+  _gcry_mpi_release (sk.n);
+  _gcry_mpi_release (sk.e);
+  _gcry_mpi_release (sk.d);
+  _gcry_mpi_release (sk.p);
+  _gcry_mpi_release (sk.q);
+  _gcry_mpi_release (sk.u);
+  _gcry_mpi_release (data);
+  sexp_release (l1);
+  _gcry_pk_util_free_encoding_ctx (&ctx);
+  if (DBG_CIPHER)
+    log_debug ("rsa_decrypt    => %s\n", gpg_strerror (rc));
+  return rc;
+}
+
+
+static gcry_err_code_t
+rsa_sign (gcry_sexp_t *r_sig, gcry_sexp_t s_data, gcry_sexp_t keyparms)
+{
+  gpg_err_code_t rc;
+  struct pk_encoding_ctx ctx;
+  gcry_mpi_t data = NULL;
+  RSA_secret_key sk = {NULL, NULL, NULL, NULL, NULL, NULL};
+  RSA_public_key pk;
+  gcry_mpi_t sig = NULL;
+  gcry_mpi_t result = NULL;
+
+  _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_SIGN,
+                                   rsa_get_nbits (keyparms));
+
+  /* Extract the data.  */
+  rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_sign   data", data);
+  if (mpi_is_opaque (data))
+    {
+      rc = GPG_ERR_INV_DATA;
+      goto leave;
+    }
+
+  /* Extract the key.  */
+  rc = sexp_extract_param (keyparms, NULL, "nedp?q?u?",
+                           &sk.n, &sk.e, &sk.d, &sk.p, &sk.q, &sk.u,
+                           NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    {
+      log_printmpi ("rsa_sign      n", sk.n);
+      log_printmpi ("rsa_sign      e", sk.e);
+      if (!fips_mode ())
+        {
+          log_printmpi ("rsa_sign      d", sk.d);
+          log_printmpi ("rsa_sign      p", sk.p);
+          log_printmpi ("rsa_sign      q", sk.q);
+          log_printmpi ("rsa_sign      u", sk.u);
+        }
+    }
+
+  /* Do RSA computation.  */
+  sig = mpi_new (0);
+  if ((ctx.flags & PUBKEY_FLAG_NO_BLINDING))
+    secret (sig, data, &sk);
+  else
+    secret_blinded (sig, data, &sk, ctx.nbits);
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_sign    res", sig);
+
+  /* Check that the created signature is good.  This detects a failure
+     of the CRT algorithm  (Lenstra's attack on RSA's use of the CRT).  */
+  result = mpi_new (0);
+  pk.n = sk.n;
+  pk.e = sk.e;
+  public (result, sig, &pk);
+  if (mpi_cmp (result, data))
+    {
+      rc = GPG_ERR_BAD_SIGNATURE;
+      goto leave;
+    }
+
+  /* Convert the result.  */
+  if ((ctx.flags & PUBKEY_FLAG_FIXEDLEN))
+    {
+      /* We need to make sure to return the correct length to avoid
+         problems with missing leading zeroes.  */
+      unsigned char *em;
+      size_t emlen = (mpi_get_nbits (sk.n)+7)/8;
+
+      rc = _gcry_mpi_to_octet_string (&em, NULL, sig, emlen);
+      if (!rc)
+        {
+          rc = sexp_build (r_sig, NULL, "(sig-val(rsa(s%b)))", (int)emlen, em);
+          xfree (em);
+        }
+    }
+  else
+    rc = sexp_build (r_sig, NULL, "(sig-val(rsa(s%M)))", sig);
+
+
+ leave:
+  _gcry_mpi_release (result);
+  _gcry_mpi_release (sig);
+  _gcry_mpi_release (sk.n);
+  _gcry_mpi_release (sk.e);
+  _gcry_mpi_release (sk.d);
+  _gcry_mpi_release (sk.p);
+  _gcry_mpi_release (sk.q);
+  _gcry_mpi_release (sk.u);
+  _gcry_mpi_release (data);
+  _gcry_pk_util_free_encoding_ctx (&ctx);
+  if (DBG_CIPHER)
+    log_debug ("rsa_sign      => %s\n", gpg_strerror (rc));
+  return rc;
+}
+
+
+static gcry_err_code_t
+rsa_verify (gcry_sexp_t s_sig, gcry_sexp_t s_data, gcry_sexp_t keyparms)
+{
+  gcry_err_code_t rc;
+  struct pk_encoding_ctx ctx;
+  gcry_sexp_t l1 = NULL;
+  gcry_mpi_t sig = NULL;
+  gcry_mpi_t data = NULL;
+  RSA_public_key pk = { NULL, NULL };
+  gcry_mpi_t result = NULL;
+
+  _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_VERIFY,
+                                   rsa_get_nbits (keyparms));
+
+  /* Extract the data.  */
+  rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_verify data", data);
+  if (mpi_is_opaque (data))
+    {
+      rc = GPG_ERR_INV_DATA;
+      goto leave;
+    }
+
+  /* Extract the signature value.  */
+  rc = _gcry_pk_util_preparse_sigval (s_sig, rsa_names, &l1, NULL);
+  if (rc)
+    goto leave;
+  rc = sexp_extract_param (l1, NULL, "s", &sig, NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_verify  sig", sig);
+
+  /* Extract the key.  */
+  rc = sexp_extract_param (keyparms, NULL, "ne", &pk.n, &pk.e, NULL);
+  if (rc)
+    goto leave;
+  if (DBG_CIPHER)
+    {
+      log_printmpi ("rsa_verify    n", pk.n);
+      log_printmpi ("rsa_verify    e", pk.e);
+    }
+
+  /* Do RSA computation and compare.  */
+  result = mpi_new (0);
+  public (result, sig, &pk);
+  if (DBG_CIPHER)
+    log_printmpi ("rsa_verify  cmp", result);
+  if (ctx.verify_cmp)
+    rc = ctx.verify_cmp (&ctx, result);
+  else
+    rc = mpi_cmp (result, data) ? GPG_ERR_BAD_SIGNATURE : 0;
+
+ leave:
+  _gcry_mpi_release (result);
+  _gcry_mpi_release (pk.n);
+  _gcry_mpi_release (pk.e);
+  _gcry_mpi_release (data);
+  _gcry_mpi_release (sig);
+  sexp_release (l1);
+  _gcry_pk_util_free_encoding_ctx (&ctx);
+  if (DBG_CIPHER)
+    log_debug ("rsa_verify    => %s\n", rc?gpg_strerror (rc):"Good");
+  return rc;
+}
+
+
+
+/* Return the number of bits for the key described by PARMS.  On error
+ * 0 is returned.  The format of PARMS starts with the algorithm name;
+ * for example:
+ *
+ *   (rsa
+ *     (n <mpi>)
+ *     (e <mpi>))
+ *
+ * More parameters may be given but we only need N here.
+ */
+static unsigned int
+rsa_get_nbits (gcry_sexp_t parms)
+{
+  gcry_sexp_t l1;
+  gcry_mpi_t n;
+  unsigned int nbits;
+
+  l1 = sexp_find_token (parms, "n", 1);
+  if (!l1)
+    return 0; /* Parameter N not found.  */
+
+  n = sexp_nth_mpi (l1, 1, GCRYMPI_FMT_USG);
+  sexp_release (l1);
+  nbits = n? mpi_get_nbits (n) : 0;
+  _gcry_mpi_release (n);
+  return nbits;
+}
+
+
+/* Compute a keygrip.  MD is the hash context which we are going to
+   update.  KEYPARAM is an S-expression with the key parameters, this
+   is usually a public key but may also be a secret key.  An example
+   of such an S-expression is:
+
+      (rsa
+        (n #00B...#)
+        (e #010001#))
+
+   PKCS-15 says that for RSA only the modulus should be hashed -
+   however, it is not clear whether this is meant to use the raw bytes
+   (assuming this is an unsigned integer) or whether the DER required
+   0 should be prefixed.  We hash the raw bytes.  */
+static gpg_err_code_t
+compute_keygrip (gcry_md_hd_t md, gcry_sexp_t keyparam)
+{
+  gcry_sexp_t l1;
+  const char *data;
+  size_t datalen;
+
+  l1 = sexp_find_token (keyparam, "n", 1);
+  if (!l1)
+    return GPG_ERR_NO_OBJ;
+
+  data = sexp_nth_data (l1, 1, &datalen);
+  if (!data)
+    {
+      sexp_release (l1);
+      return GPG_ERR_NO_OBJ;
+    }
+
+  _gcry_md_write (md, data, datalen);
+  sexp_release (l1);
+
+  return 0;
+}
+
+
+
+
+/*
+     Self-test section.
+ */
+
+static const char *
+selftest_sign_2048 (gcry_sexp_t pkey, gcry_sexp_t skey)
+{
+  static const char sample_data[] =
+    "(data (flags pkcs1)"
+    " (hash sha256 #11223344556677889900aabbccddeeff"
+    /**/           "102030405060708090a0b0c0d0f01121#))";
+  static const char sample_data_bad[] =
+    "(data (flags pkcs1)"
+    " (hash sha256 #11223344556677889900aabbccddeeff"
+    /**/           "802030405060708090a0b0c0d0f01121#))";
+
+  const char *errtxt = NULL;
+  gcry_error_t err;
+  gcry_sexp_t data = NULL;
+  gcry_sexp_t data_bad = NULL;
+  gcry_sexp_t sig = NULL;
+  /* raw signature data reference */
+  const char ref_data[] =
+    "6252a19a11e1d5155ed9376036277193d644fa239397fff03e9b92d6f86415d6"
+    "d30da9273775f290e580d038295ff8ff89522becccfa6ae870bf76b76df402a8"
+    "54f69347e3db3de8e1e7d4dada281ec556810c7a8ecd0b5f51f9b1c0e7aa7557"
+    "61aa2b8ba5f811304acc6af0eca41fe49baf33bf34eddaf44e21e036ac7f0b68"
+    "03cdef1c60021fb7b5b97ebacdd88ab755ce29af568dbc5728cc6e6eff42618d"
+    "62a0386ca8beed46402bdeeef29b6a3feded906bace411a06a39192bf516ae10"
+    "67e4320fa8ea113968525f4574d022a3ceeaafdc41079efe1f22cc94bf59d8d3"
+    "328085da9674857db56de5978a62394aab48aa3b72e23a1b16260cfd9daafe65";
+  gcry_mpi_t ref_mpi = NULL;
+  gcry_mpi_t sig_mpi = NULL;
+
+  err = sexp_sscan (&data, NULL, sample_data, strlen (sample_data));
+  if (!err)
+    err = sexp_sscan (&data_bad, NULL,
+                      sample_data_bad, strlen (sample_data_bad));
+  if (err)
+    {
+      errtxt = "converting data failed";
+      goto leave;
+    }
+
+  err = _gcry_pk_sign (&sig, data, skey);
+  if (err)
+    {
+      errtxt = "signing failed";
+      goto leave;
+    }
+
+  err = _gcry_mpi_scan(&ref_mpi, GCRYMPI_FMT_HEX, ref_data, 0, NULL);
+  if (err)
+    {
+      errtxt = "converting ref_data to mpi failed";
+      goto leave;
+    }
+
+  err = _gcry_sexp_extract_param(sig, "sig-val!rsa", "s", &sig_mpi, NULL);
+  if (err)
+    {
+      errtxt = "extracting signature data failed";
+      goto leave;
+    }
+
+  if (mpi_cmp (sig_mpi, ref_mpi))
+    {
+      errtxt = "signature does not match reference data";
+      goto leave;
+    }
+
+  err = _gcry_pk_verify (sig, data, pkey);
+  if (err)
+    {
+      errtxt = "verify failed";
+      goto leave;
+    }
+  err = _gcry_pk_verify (sig, data_bad, pkey);
+  if (gcry_err_code (err) != GPG_ERR_BAD_SIGNATURE)
+    {
+      errtxt = "bad signature not detected";
+      goto leave;
+    }
+
+
+ leave:
+  sexp_release (sig);
+  sexp_release (data_bad);
+  sexp_release (data);
+  _gcry_mpi_release (ref_mpi);
+  _gcry_mpi_release (sig_mpi);
+  return errtxt;
+}
+
+
+
+/* Given an S-expression ENCR_DATA of the form:
+
+   (enc-val
+    (rsa
+     (a a-value)))
+
+   as returned by gcry_pk_decrypt, return the the A-VALUE.  On error,
+   return NULL.  */
+static gcry_mpi_t
+extract_a_from_sexp (gcry_sexp_t encr_data)
+{
+  gcry_sexp_t l1, l2, l3;
+  gcry_mpi_t a_value;
+
+  l1 = sexp_find_token (encr_data, "enc-val", 0);
+  if (!l1)
+    return NULL;
+  l2 = sexp_find_token (l1, "rsa", 0);
+  sexp_release (l1);
+  if (!l2)
+    return NULL;
+  l3 = sexp_find_token (l2, "a", 0);
+  sexp_release (l2);
+  if (!l3)
+    return NULL;
+  a_value = sexp_nth_mpi (l3, 1, 0);
+  sexp_release (l3);
+
+  return a_value;
+}
+
+
+static const char *
+selftest_encr_2048 (gcry_sexp_t pkey, gcry_sexp_t skey)
+{
+  const char *errtxt = NULL;
+  gcry_error_t err;
+  static const char plaintext[] =
+    "Jim quickly realized that the beautiful gowns are expensive.";
+  gcry_sexp_t plain = NULL;
+  gcry_sexp_t encr  = NULL;
+  gcry_mpi_t  ciphertext = NULL;
+  gcry_sexp_t decr  = NULL;
+  char *decr_plaintext = NULL;
+  gcry_sexp_t tmplist = NULL;
+  /* expected result of encrypting the plaintext with sample_secret_key */
+  static const char ref_data[] =
+    "18022e2593a402a737caaa93b4c7e750e20ca265452980e1d6b7710fbd3e"
+    "7dce72be5c2110fb47691cb38f42170ee3b4a37f2498d4a51567d762585e"
+    "4cb81d04fbc7df4144f8e5eac2d4b8688521b64011f11d7ad53f4c874004"
+    "819856f2e2a6f83d1c9c4e73ac26089789c14482b0b8d44139133c88c4a5"
+    "2dba9dd6d6ffc622666b7d129168333d999706af30a2d7d272db7734e5ed"
+    "fb8c64ea3018af3ad20f4a013a5060cb0f5e72753967bebe294280a6ed0d"
+    "dbd3c4f11d0a8696e9d32a0dc03deb0b5e49b2cbd1503392642d4e1211f3"
+    "e8e2ee38abaa3671ccd57fcde8ca76e85fd2cb77c35706a970a213a27352"
+    "cec92a9604d543ddb5fc478ff50e0622";
+  gcry_mpi_t ref_mpi = NULL;
+
+  /* Put the plaintext into an S-expression.  */
+  err = sexp_build (&plain, NULL, "(data (flags raw) (value %s))", plaintext);
+  if (err)
+    {
+      errtxt = "converting data failed";
+      goto leave;
+    }
+
+  /* Encrypt.  */
+  err = _gcry_pk_encrypt (&encr, plain, pkey);
+  if (err)
+    {
+      errtxt = "encrypt failed";
+      goto leave;
+    }
+
+  err = _gcry_mpi_scan(&ref_mpi, GCRYMPI_FMT_HEX, ref_data, 0, NULL);
+  if (err)
+    {
+      errtxt = "converting encrydata to mpi failed";
+      goto leave;
+    }
+
+  /* Extraxt the ciphertext from the returned S-expression.  */
+  /*sexp_dump (encr);*/
+  ciphertext = extract_a_from_sexp (encr);
+  if (!ciphertext)
+    {
+      errtxt = "gcry_pk_decrypt returned garbage";
+      goto leave;
+    }
+
+  /* Check that the ciphertext does no match the plaintext.  */
+  /* _gcry_log_printmpi ("plaintext", plaintext); */
+  /* _gcry_log_printmpi ("ciphertxt", ciphertext); */
+  if (mpi_cmp (ref_mpi, ciphertext))
+    {
+      errtxt = "ciphertext doesn't match reference data";
+      goto leave;
+    }
+
+  /* Decrypt.  */
+  err = _gcry_pk_decrypt (&decr, encr, skey);
+  if (err)
+    {
+      errtxt = "decrypt failed";
+      goto leave;
+    }
+
+  /* Extract the decrypted data from the S-expression.  Note that the
+     output of gcry_pk_decrypt depends on whether a flags lists occurs
+     in its input data.  Because we passed the output of
+     gcry_pk_encrypt directly to gcry_pk_decrypt, such a flag value
+     won't be there as of today.  To be prepared for future changes we
+     take care of it anyway.  */
+  tmplist = sexp_find_token (decr, "value", 0);
+  if (tmplist)
+    decr_plaintext = sexp_nth_string (tmplist, 1);
+  else
+    decr_plaintext = sexp_nth_string (decr, 0);
+  if (!decr_plaintext)
+    {
+      errtxt = "decrypt returned no plaintext";
+      goto leave;
+    }
+
+  /* Check that the decrypted plaintext matches the original  plaintext.  */
+  if (strcmp (plaintext, decr_plaintext))
+    {
+      errtxt = "mismatch";
+      goto leave;
+    }
+
+ leave:
+  sexp_release (tmplist);
+  xfree (decr_plaintext);
+  sexp_release (decr);
+  _gcry_mpi_release (ciphertext);
+  _gcry_mpi_release (ref_mpi);
+  sexp_release (encr);
+  sexp_release (plain);
+  return errtxt;
+}
+
+
+static gpg_err_code_t
+selftests_rsa (selftest_report_func_t report)
+{
+  const char *what;
+  const char *errtxt;
+  gcry_error_t err;
+  gcry_sexp_t skey = NULL;
+  gcry_sexp_t pkey = NULL;
+
+  /* Convert the S-expressions into the internal representation.  */
+  what = "convert";
+  err = sexp_sscan (&skey, NULL, sample_secret_key, strlen (sample_secret_key));
+  if (!err)
+    err = sexp_sscan (&pkey, NULL,
+                      sample_public_key, strlen (sample_public_key));
+  if (err)
+    {
+      errtxt = _gcry_strerror (err);
+      goto failed;
+    }
+
+  what = "key consistency";
+  err = _gcry_pk_testkey (skey);
+  if (err)
+    {
+      errtxt = _gcry_strerror (err);
+      goto failed;
+    }
+
+  what = "sign";
+  errtxt = selftest_sign_2048 (pkey, skey);
+  if (errtxt)
+    goto failed;
+
+  what = "encrypt";
+  errtxt = selftest_encr_2048 (pkey, skey);
+  if (errtxt)
+    goto failed;
+
+  sexp_release (pkey);
+  sexp_release (skey);
+  return 0; /* Succeeded. */
+
+ failed:
+  sexp_release (pkey);
+  sexp_release (skey);
+  if (report)
+    report ("pubkey", GCRY_PK_RSA, what, errtxt);
+  return GPG_ERR_SELFTEST_FAILED;
+}
+
+
+/* Run a full self-test for ALGO and return 0 on success.  */
+static gpg_err_code_t
+run_selftests (int algo, int extended, selftest_report_func_t report)
+{
+  gpg_err_code_t ec;
+
+  (void)extended;
+
+  switch (algo)
+    {
+    case GCRY_PK_RSA:
+      ec = selftests_rsa (report);
+      break;
+    default:
+      ec = GPG_ERR_PUBKEY_ALGO;
+      break;
+
+    }
+  return ec;
+}
+
+
+
+
+gcry_pk_spec_t _gcry_pubkey_spec_rsa =
+  {
+    GCRY_PK_RSA, { 0, 1 },
+    (GCRY_PK_USAGE_SIGN | GCRY_PK_USAGE_ENCR),
+    "RSA", rsa_names,
+    "ne", "nedpqu", "a", "s", "n",
+    rsa_generate,
+    rsa_check_secret_key,
+    rsa_encrypt,
+    rsa_decrypt,
+    rsa_sign,
+    rsa_verify,
+    rsa_get_nbits,
+    run_selftests,
+    compute_keygrip
+  };