Mercurial > dropbear

annotate libtomcrypt/src/pk/rsa/rsa_exptmod.c @ 285:1b9e69c058d2

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propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3) to branch 'au.asn.ucc.matt.dropbear' (head fdf4a7a3b97ae5046139915de7e40399cceb2c01)
author Matt Johnston <matt@ucc.asn.au>
date Wed, 08 Mar 2006 13:23:58 +0000
parents
children 0cbe8f6dbf9e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
285
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
1 /* LibTomCrypt, modular cryptographic library -- Tom St Denis
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
2 *
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
3 * LibTomCrypt is a library that provides various cryptographic
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diff changeset
4 * algorithms in a highly modular and flexible manner.
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
5 *
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
6 * The library is free for all purposes without any express
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
7 * guarantee it works.
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
8 *
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
9 * Tom St Denis, [email protected], http://libtomcrypt.org
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
10 */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
11 #include "tomcrypt.h"
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Matt Johnston <matt@ucc.asn.au>
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12
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
13 /**
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
14 @file rsa_exptmod.c
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
15 RSA PKCS exptmod, Tom St Denis
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
16 */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
17
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
18 #ifdef MRSA
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Matt Johnston <matt@ucc.asn.au>
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19
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
20 /**
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
21 Compute an RSA modular exponentiation
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Matt Johnston <matt@ucc.asn.au>
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22 @param in The input data to send into RSA
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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23 @param inlen The length of the input (octets)
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
24 @param out [out] The destination
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
25 @param outlen [in/out] The max size and resulting size of the output
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
26 @param which Which exponent to use, e.g. PK_PRIVATE or PK_PUBLIC
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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27 @param key The RSA key to use
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Matt Johnston <matt@ucc.asn.au>
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28 @return CRYPT_OK if successful
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
29 */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
30 int rsa_exptmod(const unsigned char *in, unsigned long inlen,
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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31 unsigned char *out, unsigned long *outlen, int which,
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
32 rsa_key *key)
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Matt Johnston <matt@ucc.asn.au>
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33 {
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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34 mp_int tmp, tmpa, tmpb;
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Matt Johnston <matt@ucc.asn.au>
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35 unsigned long x;
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
36 int err;
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Matt Johnston <matt@ucc.asn.au>
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37
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
38 LTC_ARGCHK(in != NULL);
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Matt Johnston <matt@ucc.asn.au>
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39 LTC_ARGCHK(out != NULL);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
40 LTC_ARGCHK(outlen != NULL);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
41 LTC_ARGCHK(key != NULL);
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Matt Johnston <matt@ucc.asn.au>
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42
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
43 /* is the key of the right type for the operation? */
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Matt Johnston <matt@ucc.asn.au>
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44 if (which == PK_PRIVATE && (key->type != PK_PRIVATE)) {
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Matt Johnston <matt@ucc.asn.au>
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45 return CRYPT_PK_NOT_PRIVATE;
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Matt Johnston <matt@ucc.asn.au>
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46 }
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47
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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48 /* must be a private or public operation */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
49 if (which != PK_PRIVATE && which != PK_PUBLIC) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
50 return CRYPT_PK_INVALID_TYPE;
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51 }
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52
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
53 /* init and copy into tmp */
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
54 if ((err = mp_init_multi(&tmp, &tmpa, &tmpb, NULL)) != MP_OKAY) { return mpi_to_ltc_error(err); }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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diff changeset
55 if ((err = mp_read_unsigned_bin(&tmp, (unsigned char *)in, (int)inlen)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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56
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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57 /* sanity check on the input */
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Matt Johnston <matt@ucc.asn.au>
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58 if (mp_cmp(&key->N, &tmp) == MP_LT) {
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
59 err = CRYPT_PK_INVALID_SIZE;
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Matt Johnston <matt@ucc.asn.au>
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60 goto done;
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Matt Johnston <matt@ucc.asn.au>
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61 }
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Matt Johnston <matt@ucc.asn.au>
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62
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
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63 /* are we using the private exponent and is the key optimized? */
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Matt Johnston <matt@ucc.asn.au>
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64 if (which == PK_PRIVATE) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 /* tmpa = tmp^dP mod p */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 if ((err = mp_exptmod(&tmp, &key->dP, &key->p, &tmpa)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68 /* tmpb = tmp^dQ mod q */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69 if ((err = mp_exptmod(&tmp, &key->dQ, &key->q, &tmpb)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 /* tmp = (tmpa - tmpb) * qInv (mod p) */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 if ((err = mp_sub(&tmpa, &tmpb, &tmp)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73 if ((err = mp_mulmod(&tmp, &key->qP, &key->p, &tmp)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
75 /* tmp = tmpb + q * tmp */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 if ((err = mp_mul(&tmp, &key->q, &tmp)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77 if ((err = mp_add(&tmp, &tmpb, &tmp)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 } else {
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 /* exptmod it */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80 if ((err = mp_exptmod(&tmp, &key->e, &key->N, &tmp)) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
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81 }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 /* read it back */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 x = (unsigned long)mp_unsigned_bin_size(&key->N);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85 if (x > *outlen) {
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86 err = CRYPT_BUFFER_OVERFLOW;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
87 goto done;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88 }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 /* this should never happen ... */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 if (mp_unsigned_bin_size(&tmp) > mp_unsigned_bin_size(&key->N)) {
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92 err = CRYPT_ERROR;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 goto done;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 *outlen = x;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 /* convert it */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 zeromem(out, x);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99 if ((err = mp_to_unsigned_bin(&tmp, out+(x-mp_unsigned_bin_size(&tmp)))) != MP_OKAY) { goto error; }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 /* clean up and return */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 err = CRYPT_OK;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
103 goto done;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
104 error:
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105 err = mpi_to_ltc_error(err);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
106 done:
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
107 mp_clear_multi(&tmp, &tmpa, &tmpb, NULL);
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
108 return err;
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
109 }
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
110
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
111 #endif
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
112
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
113 /* $Source: /cvs/libtom/libtomcrypt/src/pk/rsa/rsa_exptmod.c,v $ */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
114 /* $Revision: 1.4 $ */
1b9e69c058d2 propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
115 /* $Date: 2005/06/23 02:10:22 $ */