+++ /dev/null
-/* crypto/bn/bn_prime.c */
-/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
- * All rights reserved.
- *
- * This package is an SSL implementation written
- * by Eric Young (eay@cryptsoft.com).
- * The implementation was written so as to conform with Netscapes SSL.
- *
- * This library is free for commercial and non-commercial use as long as
- * the following conditions are aheared to. The following conditions
- * apply to all code found in this distribution, be it the RC4, RSA,
- * lhash, DES, etc., code; not just the SSL code. The SSL documentation
- * included with this distribution is covered by the same copyright terms
- * except that the holder is Tim Hudson (tjh@cryptsoft.com).
- *
- * Copyright remains Eric Young's, and as such any Copyright notices in
- * the code are not to be removed.
- * If this package is used in a product, Eric Young should be given attribution
- * as the author of the parts of the library used.
- * This can be in the form of a textual message at program startup or
- * in documentation (online or textual) provided with the package.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- * must display the following acknowledgement:
- * "This product includes cryptographic software written by
- * Eric Young (eay@cryptsoft.com)"
- * The word 'cryptographic' can be left out if the rouines from the library
- * being used are not cryptographic related :-).
- * 4. If you include any Windows specific code (or a derivative thereof) from
- * the apps directory (application code) you must include an acknowledgement:
- * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
- *
- * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- *
- * The licence and distribution terms for any publically available version or
- * derivative of this code cannot be changed. i.e. this code cannot simply be
- * copied and put under another distribution licence
- * [including the GNU Public Licence.]
- */
-/* ====================================================================
- * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
-
-#include <stdio.h>
-#include <time.h>
-#include "cryptlib.h"
-#include "bn_lcl.h"
-#include <openssl/rand.h>
-
-/* The quick sieve algorithm approach to weeding out primes is
- * Philip Zimmermann's, as implemented in PGP. I have had a read of
- * his comments and implemented my own version.
- */
-#include "bn_prime.h"
-
-static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
- const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont);
-static int probable_prime(BIGNUM *rnd, int bits);
-static int probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
-static int probable_prime_dh_safe(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
-
-BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
- const BIGNUM *add, const BIGNUM *rem,
- void (*callback)(int,int,void *), void *cb_arg)
- {
- BIGNUM *rnd=NULL;
- BIGNUM t;
- int found=0;
- int i,j,c1=0;
- BN_CTX *ctx;
- int checks = BN_prime_checks_for_size(bits);
-
- BN_init(&t);
- ctx=BN_CTX_new();
- if (ctx == NULL) goto err;
- if (ret == NULL)
- {
- if ((rnd=BN_new()) == NULL) goto err;
- }
- else
- rnd=ret;
-loop:
- /* make a random number and set the top and bottom bits */
- if (add == NULL)
- {
- if (!probable_prime(rnd,bits)) goto err;
- }
- else
- {
- if (safe)
- {
- if (!probable_prime_dh_safe(rnd,bits,add,rem,ctx))
- goto err;
- }
- else
- {
- if (!probable_prime_dh(rnd,bits,add,rem,ctx))
- goto err;
- }
- }
- /* if (BN_mod_word(rnd,(BN_ULONG)3) == 1) goto loop; */
- if (callback != NULL) callback(0,c1++,cb_arg);
-
- if (!safe)
- {
- i=BN_is_prime_fasttest(rnd,checks,callback,ctx,cb_arg,0);
- if (i == -1) goto err;
- if (i == 0) goto loop;
- }
- else
- {
- /* for "safe prime" generation,
- * check that (p-1)/2 is prime.
- * Since a prime is odd, We just
- * need to divide by 2 */
- if (!BN_rshift1(&t,rnd)) goto err;
-
- for (i=0; i<checks; i++)
- {
- j=BN_is_prime_fasttest(rnd,1,callback,ctx,cb_arg,0);
- if (j == -1) goto err;
- if (j == 0) goto loop;
-
- j=BN_is_prime_fasttest(&t,1,callback,ctx,cb_arg,0);
- if (j == -1) goto err;
- if (j == 0) goto loop;
-
- if (callback != NULL) callback(2,c1-1,cb_arg);
- /* We have a safe prime test pass */
- }
- }
- /* we have a prime :-) */
- found = 1;
-err:
- if (!found && (ret == NULL) && (rnd != NULL)) BN_free(rnd);
- BN_free(&t);
- if (ctx != NULL) BN_CTX_free(ctx);
- return(found ? rnd : NULL);
- }
-
-int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int,int,void *),
- BN_CTX *ctx_passed, void *cb_arg)
- {
- return BN_is_prime_fasttest(a, checks, callback, ctx_passed, cb_arg, 0);
- }
-
-int BN_is_prime_fasttest(const BIGNUM *a, int checks,
- void (*callback)(int,int,void *),
- BN_CTX *ctx_passed, void *cb_arg,
- int do_trial_division)
- {
- int i, j, ret = -1;
- int k;
- BN_CTX *ctx = NULL;
- BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
- BN_MONT_CTX *mont = NULL;
- const BIGNUM *A = NULL;
-
- if (BN_cmp(a, BN_value_one()) <= 0)
- return 0;
-
- if (checks == BN_prime_checks)
- checks = BN_prime_checks_for_size(BN_num_bits(a));
-
- /* first look for small factors */
- if (!BN_is_odd(a))
- return 0;
- if (do_trial_division)
- {
- for (i = 1; i < NUMPRIMES; i++)
- if (BN_mod_word(a, primes[i]) == 0)
- return 0;
- if (callback != NULL) callback(1, -1, cb_arg);
- }
-
- if (ctx_passed != NULL)
- ctx = ctx_passed;
- else
- if ((ctx=BN_CTX_new()) == NULL)
- goto err;
- BN_CTX_start(ctx);
-
- /* A := abs(a) */
- if (a->neg)
- {
- BIGNUM *t;
- if ((t = BN_CTX_get(ctx)) == NULL) goto err;
- BN_copy(t, a);
- t->neg = 0;
- A = t;
- }
- else
- A = a;
- A1 = BN_CTX_get(ctx);
- A1_odd = BN_CTX_get(ctx);
- check = BN_CTX_get(ctx);
- if (check == NULL) goto err;
-
- /* compute A1 := A - 1 */
- if (!BN_copy(A1, A))
- goto err;
- if (!BN_sub_word(A1, 1))
- goto err;
- if (BN_is_zero(A1))
- {
- ret = 0;
- goto err;
- }
-
- /* write A1 as A1_odd * 2^k */
- k = 1;
- while (!BN_is_bit_set(A1, k))
- k++;
- if (!BN_rshift(A1_odd, A1, k))
- goto err;
-
- /* Montgomery setup for computations mod A */
- mont = BN_MONT_CTX_new();
- if (mont == NULL)
- goto err;
- if (!BN_MONT_CTX_set(mont, A, ctx))
- goto err;
-
- for (i = 0; i < checks; i++)
- {
- if (!BN_pseudo_rand_range(check, A1))
- goto err;
- if (!BN_add_word(check, 1))
- goto err;
- /* now 1 <= check < A */
-
- j = witness(check, A, A1, A1_odd, k, ctx, mont);
- if (j == -1) goto err;
- if (j)
- {
- ret=0;
- goto err;
- }
- if (callback != NULL) callback(1,i,cb_arg);
- }
- ret=1;
-err:
- if (ctx != NULL)
- {
- BN_CTX_end(ctx);
- if (ctx_passed == NULL)
- BN_CTX_free(ctx);
- }
- if (mont != NULL)
- BN_MONT_CTX_free(mont);
-
- return(ret);
- }
-
-static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
- const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont)
- {
- if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */
- return -1;
- if (BN_is_one(w))
- return 0; /* probably prime */
- if (BN_cmp(w, a1) == 0)
- return 0; /* w == -1 (mod a), 'a' is probably prime */
- while (--k)
- {
- if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */
- return -1;
- if (BN_is_one(w))
- return 1; /* 'a' is composite, otherwise a previous 'w' would
- * have been == -1 (mod 'a') */
- if (BN_cmp(w, a1) == 0)
- return 0; /* w == -1 (mod a), 'a' is probably prime */
- }
- /* If we get here, 'w' is the (a-1)/2-th power of the original 'w',
- * and it is neither -1 nor +1 -- so 'a' cannot be prime */
- return 1;
- }
-
-static int probable_prime(BIGNUM *rnd, int bits)
- {
- int i;
- BN_ULONG mods[NUMPRIMES];
- BN_ULONG delta,d;
-
-again:
- if (!BN_rand(rnd,bits,1,1)) return(0);
- /* we now have a random number 'rand' to test. */
- for (i=1; i<NUMPRIMES; i++)
- mods[i]=BN_mod_word(rnd,(BN_ULONG)primes[i]);
- delta=0;
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that rnd is not a prime and also
- * that gcd(rnd-1,primes) == 1 (except for 2) */
- if (((mods[i]+delta)%primes[i]) <= 1)
- {
- d=delta;
- delta+=2;
- /* perhaps need to check for overflow of
- * delta (but delta can be up to 2^32)
- * 21-May-98 eay - added overflow check */
- if (delta < d) goto again;
- goto loop;
- }
- }
- if (!BN_add_word(rnd,delta)) return(0);
- return(1);
- }
-
-static int probable_prime_dh(BIGNUM *rnd, int bits,
- const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx)
- {
- int i,ret=0;
- BIGNUM *t1;
-
- BN_CTX_start(ctx);
- if ((t1 = BN_CTX_get(ctx)) == NULL) goto err;
-
- if (!BN_rand(rnd,bits,0,1)) goto err;
-
- /* we need ((rnd-rem) % add) == 0 */
-
- if (!BN_mod(t1,rnd,add,ctx)) goto err;
- if (!BN_sub(rnd,rnd,t1)) goto err;
- if (rem == NULL)
- { if (!BN_add_word(rnd,1)) goto err; }
- else
- { if (!BN_add(rnd,rnd,rem)) goto err; }
-
- /* we now have a random number 'rand' to test. */
-
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that rnd is a prime */
- if (BN_mod_word(rnd,(BN_ULONG)primes[i]) <= 1)
- {
- if (!BN_add(rnd,rnd,add)) goto err;
- goto loop;
- }
- }
- ret=1;
-err:
- BN_CTX_end(ctx);
- return(ret);
- }
-
-static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd,
- const BIGNUM *rem, BN_CTX *ctx)
- {
- int i,ret=0;
- BIGNUM *t1,*qadd,*q;
-
- bits--;
- BN_CTX_start(ctx);
- t1 = BN_CTX_get(ctx);
- q = BN_CTX_get(ctx);
- qadd = BN_CTX_get(ctx);
- if (qadd == NULL) goto err;
-
- if (!BN_rshift1(qadd,padd)) goto err;
-
- if (!BN_rand(q,bits,0,1)) goto err;
-
- /* we need ((rnd-rem) % add) == 0 */
- if (!BN_mod(t1,q,qadd,ctx)) goto err;
- if (!BN_sub(q,q,t1)) goto err;
- if (rem == NULL)
- { if (!BN_add_word(q,1)) goto err; }
- else
- {
- if (!BN_rshift1(t1,rem)) goto err;
- if (!BN_add(q,q,t1)) goto err;
- }
-
- /* we now have a random number 'rand' to test. */
- if (!BN_lshift1(p,q)) goto err;
- if (!BN_add_word(p,1)) goto err;
-
- loop: for (i=1; i<NUMPRIMES; i++)
- {
- /* check that p and q are prime */
- /* check that for p and q
- * gcd(p-1,primes) == 1 (except for 2) */
- if ( (BN_mod_word(p,(BN_ULONG)primes[i]) == 0) ||
- (BN_mod_word(q,(BN_ULONG)primes[i]) == 0))
- {
- if (!BN_add(p,p,padd)) goto err;
- if (!BN_add(q,q,qadd)) goto err;
- goto loop;
- }
- }
- ret=1;
-err:
- BN_CTX_end(ctx);
- return(ret);
- }
projects / bcm963xx.git / blobdiff