/* crypto/bn/bn_mont.c */ /* Copyright (C) 1995-1997 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" int BN_mod_mul_montgomery(r,a,b,mont,ctx) BIGNUM *r,*a,*b; BN_MONT_CTX *mont; BN_CTX *ctx; { BIGNUM *tmp; tmp=ctx->bn[ctx->tos++]; if (a == b) { if (!BN_sqr(tmp,a,ctx)) goto err; } else { if (!BN_mul(tmp,a,b)) goto err; } /* reduce from aRR to aR */ if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err; ctx->tos--; return(1); err: return(0); } #define MONT_WORD #ifdef MONT_WORD int BN_from_montgomery(ret,a,mont,ctx) BIGNUM *ret; BIGNUM *a; BN_MONT_CTX *mont; BN_CTX *ctx; { BIGNUM *n,*t1,*r; BN_ULONG *ap,*np,*rp,k,n0,v,v2; int al,nl,max,i,x; int retn=0; t1=ctx->bn[ctx->tos]; r=ctx->bn[ctx->tos+1]; if (!BN_copy(r,a)) goto err; n=mont->N; if (!BN_copy(t1,a)) goto err; BN_mask_bits(t1,mont->ri); a=t1; al=a->top; nl=n->top; if ((al == 0) || (nl == 0)) { r->top=0; return(1); } max=(nl+al+1); /* allow for overflow (no?) XXX */ if (bn_expand(r,(max)*BN_BITS2) == NULL) goto err; r->neg=a->neg^n->neg; ap=a->d; np=n->d; rp=r->d; /* clear the top bytes of T */ for (i=r->top; id[i]=0; /* memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG)); */ r->top=max; n0=mont->n0; for (i=0; id[r->top-1] == 0) r->top--; BN_rshift(ret,r,mont->ri); if (BN_ucmp(ret,mont->N) >= 0) { bn_qsub(ret,ret,mont->N); /* XXX */ } retn=1; err: return(retn); } #else int BN_from_montgomery(r,a,mont,ctx) BIGNUM *r; BIGNUM *a; BN_MONT_CTX *mont; BN_CTX *ctx; { BIGNUM *t1,*t2; t1=ctx->bn[ctx->tos]; t2=ctx->bn[ctx->tos+1]; if (!BN_copy(t1,a)) goto err; /* can cheat */ BN_mask_bits(t1,mont->ri); if (!BN_mul(t2,t1,mont->Ni)) goto err; BN_mask_bits(t2,mont->ri); if (!BN_mul(t1,t2,mont->N)) goto err; if (!BN_add(t2,a,t1)) goto err; BN_rshift(r,t2,mont->ri); if (BN_ucmp(r,mont->N) >= 0) bn_qsub(r,r,mont->N); return(1); err: return(0); } #endif BN_MONT_CTX *BN_MONT_CTX_new() { BN_MONT_CTX *ret; if ((ret=(BN_MONT_CTX *)Malloc(sizeof(BN_MONT_CTX))) == NULL) return(NULL); ret->ri=0; ret->RR=BN_new(); ret->N=BN_new(); ret->Ni=NULL; if ((ret->RR == NULL) || (ret->N == NULL)) { BN_MONT_CTX_free(ret); return(NULL); } return(ret); } void BN_MONT_CTX_free(mont) BN_MONT_CTX *mont; { if (mont->RR != NULL) BN_free(mont->RR); if (mont->N != NULL) BN_free(mont->N); if (mont->Ni != NULL) BN_free(mont->Ni); Free(mont); } int BN_MONT_CTX_set(mont,mod,ctx) BN_MONT_CTX *mont; BIGNUM *mod; BN_CTX *ctx; { BIGNUM *Ri=NULL,*R=NULL; if (mont->RR == NULL) mont->RR=BN_new(); if (mont->N == NULL) mont->N=BN_new(); R=mont->RR; /* grab RR as a temp */ BN_copy(mont->N,mod); /* Set N */ #ifdef MONT_WORD { BIGNUM tmod; BN_ULONG buf[2]; /* int z; */ mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2; BN_lshift(R,BN_value_one(),BN_BITS2); /* R */ /* I was bad, this modification of a passed variable was * breaking the multithreaded stuff :-( * z=mod->top; * mod->top=1; */ buf[0]=mod->d[0]; buf[1]=0; tmod.d=buf; tmod.top=1; tmod.max=mod->max; tmod.neg=mod->neg; if ((Ri=BN_mod_inverse(R,&tmod,ctx)) == NULL) goto err; /* Ri */ BN_lshift(Ri,Ri,BN_BITS2); /* R*Ri */ bn_qsub(Ri,Ri,BN_value_one()); /* R*Ri - 1 */ BN_div(Ri,NULL,Ri,&tmod,ctx); mont->n0=Ri->d[0]; BN_free(Ri); /* mod->top=z; */ } #else mont->ri=BN_num_bits(mod); BN_lshift(R,BN_value_one(),mont->ri); /* R */ if ((Ri=BN_mod_inverse(R,mod,ctx)) == NULL) goto err; /* Ri */ BN_lshift(Ri,Ri,mont->ri); /* R*Ri */ bn_qsub(Ri,Ri,BN_value_one()); /* R*Ri - 1 */ BN_div(Ri,NULL,Ri,mod,ctx); if (mont->Ni != NULL) BN_free(mont->Ni); mont->Ni=Ri; /* Ni=(R*Ri-1)/N */ #endif /* setup RR for conversions */ BN_lshift(mont->RR,BN_value_one(),mont->ri*2); BN_mod(mont->RR,mont->RR,mont->N,ctx); return(1); err: return(0); }