/* crypto/bn/bn_exp.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.] */ #include #include "cryptlib.h" #include "bn_lcl.h" #ifdef ATALLA # include # include # include # include #endif #define TABLE_SIZE 16 /* slow but works */ int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) { BIGNUM *t; int r=0; bn_check_top(a); bn_check_top(b); bn_check_top(m); BN_CTX_start(ctx); if ((t = BN_CTX_get(ctx)) == NULL) goto err; if (a == b) { if (!BN_sqr(t,a,ctx)) goto err; } else { if (!BN_mul(t,a,b,ctx)) goto err; } if (!BN_mod(ret,t,m,ctx)) goto err; r=1; err: BN_CTX_end(ctx); return(r); } #if 0 /* this one works - simple but works */ int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m, BN_CTX *ctx) { int i,bits,ret=0; BIGNUM *v,*tmp; BN_CTX_start(ctx); v = BN_CTX_get(ctx); tmp = BN_CTX_get(ctx); if (v == NULL || tmp == NULL) goto err; if (BN_copy(v,a) == NULL) goto err; bits=BN_num_bits(p); if (BN_is_odd(p)) { if (BN_copy(r,a) == NULL) goto err; } else { if (!BN_one(r)) goto err; } for (i=1; i= m. eay 07-May-97 */ /* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */ if (BN_is_odd(m)) { ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL); } else #endif #ifdef RECP_MUL_MOD { ret=BN_mod_exp_recp(r,a,p,m,ctx); } #else { ret=BN_mod_exp_simple(r,a,p,m,ctx); } #endif #ifdef ATALLA tried_atalla=0; #endif return(ret); } /* #ifdef RECP_MUL_MOD */ int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx) { int i,j,bits,ret=0,wstart,wend,window,wvalue; int start=1,ts=0; BIGNUM *aa; BIGNUM val[TABLE_SIZE]; BN_RECP_CTX recp; bits=BN_num_bits(p); if (bits == 0) { BN_one(r); return(1); } BN_CTX_start(ctx); if ((aa = BN_CTX_get(ctx)) == NULL) goto err; BN_RECP_CTX_init(&recp); if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err; BN_init(&(val[0])); ts=1; if (!BN_mod(&(val[0]),a,m,ctx)) goto err; /* 1 */ if (!BN_mod_mul_reciprocal(aa,&(val[0]),&(val[0]),&recp,ctx)) goto err; /* 2 */ if (bits <= 17) /* This is probably 3 or 0x10001, so just do singles */ window=1; else if (bits >= 256) window=5; /* max size of window */ else if (bits >= 128) window=4; else window=3; j=1<<(window-1); for (i=1; i>1]),&recp,ctx)) goto err; /* move the 'window' down further */ wstart-=wend+1; wvalue=0; start=0; if (wstart < 0) break; } ret=1; err: BN_CTX_end(ctx); for (i=0; id[0] & 1)) { BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS); return(0); } bits=BN_num_bits(p); if (bits == 0) { BN_one(rr); return(1); } BN_CTX_start(ctx); d = BN_CTX_get(ctx); r = BN_CTX_get(ctx); if (d == NULL || r == NULL) goto err; /* If this is not done, things will break in the montgomery * part */ #if 1 if (in_mont != NULL) mont=in_mont; else #endif { if ((mont=BN_MONT_CTX_new()) == NULL) goto err; if (!BN_MONT_CTX_set(mont,m,ctx)) goto err; } BN_init(&val[0]); ts=1; if (BN_ucmp(a,m) >= 0) { BN_mod(&(val[0]),a,m,ctx); aa= &(val[0]); } else aa=a; if (!BN_to_montgomery(&(val[0]),aa,mont,ctx)) goto err; /* 1 */ if (!BN_mod_mul_montgomery(d,&(val[0]),&(val[0]),mont,ctx)) goto err; /* 2 */ if (bits <= 20) /* This is probably 3 or 0x10001, so just do singles */ window=1; else if (bits >= 256) window=5; /* max size of window */ else if (bits >= 128) window=4; else window=3; j=1<<(window-1); for (i=1; i>1]),mont,ctx)) goto err; /* move the 'window' down further */ wstart-=wend+1; wvalue=0; start=0; if (wstart < 0) break; } BN_from_montgomery(rr,r,mont,ctx); ret=1; err: if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont); BN_CTX_end(ctx); for (i=0; i= 256) window=5; /* max size of window */ else if (bits >= 128) window=4; else window=3; j=1<<(window-1); for (i=1; i>1]),m,ctx)) goto err; /* move the 'window' down further */ wstart-=wend+1; wvalue=0; start=0; if (wstart < 0) break; } ret=1; err: BN_CTX_end(ctx); for (i=0; i