* 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:
* 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
+ * 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
* 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) 1998-2006 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).
+ *
+ */
/*
* Details about Montgomery multiplication algorithms can be found at
* sections 3.8 and 4.2 in http://security.ece.orst.edu/koc/papers/r01rsasw.pdf
*/
-#include <stdio.h>
#include "cryptlib.h"
#include "bn_lcl.h"
-#define MONT_WORD /* use the faster word-based algorithm */
+#define MONT_WORD /* use the faster word-based algorithm */
#ifdef MONT_WORD
static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont);
#endif
int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- BN_MONT_CTX *mont, BN_CTX *ctx)
- {
- BIGNUM *tmp;
- int ret=0;
+ BN_MONT_CTX *mont, BN_CTX *ctx)
+{
+ BIGNUM *tmp;
+ int ret = 0;
#if defined(OPENSSL_BN_ASM_MONT) && defined(MONT_WORD)
- int num = mont->N.top;
-
- if (num>1 && a->top==num && b->top==num)
- {
- if (bn_wexpand(r,num) == NULL) return(0);
- if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,mont->n0,num))
- {
- r->neg = a->neg^b->neg;
- r->top = num;
- bn_correct_top(r);
- return(1);
- }
- }
+ int num = mont->N.top;
+
+ if (num > 1 && a->top == num && b->top == num) {
+ if (bn_wexpand(r, num) == NULL)
+ return (0);
+ if (bn_mul_mont(r->d, a->d, b->d, mont->N.d, mont->n0, num)) {
+ r->neg = a->neg ^ b->neg;
+ r->top = num;
+ bn_correct_top(r);
+ return (1);
+ }
+ }
#endif
- BN_CTX_start(ctx);
- tmp = BN_CTX_get(ctx);
- if (tmp == NULL) goto err;
-
- bn_check_top(tmp);
- if (a == b)
- {
- if (!BN_sqr(tmp,a,ctx)) goto err;
- }
- else
- {
- if (!BN_mul(tmp,a,b,ctx)) goto err;
- }
- /* reduce from aRR to aR */
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL)
+ goto err;
+
+ bn_check_top(tmp);
+ if (a == b) {
+ if (!BN_sqr(tmp, a, ctx))
+ goto err;
+ } else {
+ if (!BN_mul(tmp, a, b, ctx))
+ goto err;
+ }
+ /* reduce from aRR to aR */
#ifdef MONT_WORD
- if (!BN_from_montgomery_word(r,tmp,mont)) goto err;
+ if (!BN_from_montgomery_word(r, tmp, mont))
+ goto err;
#else
- if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err;
+ if (!BN_from_montgomery(r, tmp, mont, ctx))
+ goto err;
#endif
- bn_check_top(r);
- ret=1;
-err:
- BN_CTX_end(ctx);
- return(ret);
- }
+ bn_check_top(r);
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return (ret);
+}
#ifdef MONT_WORD
static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
- {
- BIGNUM *n;
- BN_ULONG *ap,*np,*rp,n0,v,*nrp;
- int al,nl,max,i,x,ri;
-
- n= &(mont->N);
- /* mont->ri is the size of mont->N in bits (rounded up
- to the word size) */
- al=ri=mont->ri/BN_BITS2;
-
- nl=n->top;
- if ((al == 0) || (nl == 0)) { ret->top=0; return(1); }
-
- max=(nl+al+1); /* allow for overflow (no?) XXX */
- if (bn_wexpand(r,max) == NULL) return(0);
-
- r->neg^=n->neg;
- np=n->d;
- rp=r->d;
- nrp= &(r->d[nl]);
-
- /* clear the top words of T */
-#if 1
- for (i=r->top; i<max; i++) /* memset? XXX */
- r->d[i]=0;
-#else
- memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG));
-#endif
-
- r->top=max;
- n0=mont->n0;
-
-#ifdef BN_COUNT
- fprintf(stderr,"word BN_from_montgomery_word %d * %d\n",nl,nl);
-#endif
- for (i=0; i<nl; i++)
- {
-#ifdef __TANDEM
- {
- long long t1;
- long long t2;
- long long t3;
- t1 = rp[0] * (n0 & 0177777);
- t2 = 037777600000l;
- t2 = n0 & t2;
- t3 = rp[0] & 0177777;
- t2 = (t3 * t2) & BN_MASK2;
- t1 = t1 + t2;
- v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1);
- }
-#else
- v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
-#endif
- nrp++;
- rp++;
- if (((nrp[-1]+=v)&BN_MASK2) >= v)
- continue;
- else
- {
- if (((++nrp[0])&BN_MASK2) != 0) continue;
- if (((++nrp[1])&BN_MASK2) != 0) continue;
- for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ;
- }
- }
- bn_correct_top(r);
-
- /* mont->ri will be a multiple of the word size */
-#if 0
- BN_rshift(ret,r,mont->ri);
-#else
- if (r->top < ri)
- {
- ret->top=0;
- return(1);
- }
- al=r->top-ri;
- if (bn_wexpand(ret,al) == NULL) return(0);
- ret->neg=r->neg;
- ret->top=al;
-
- rp=ret->d;
- ap=&(r->d[ri]);
- al-=4;
- for (i=0; i<al; i+=4)
- {
- BN_ULONG t1,t2,t3,t4;
-
- t1=ap[i+0];
- t2=ap[i+1];
- t3=ap[i+2];
- t4=ap[i+3];
- rp[i+0]=t1;
- rp[i+1]=t2;
- rp[i+2]=t3;
- rp[i+3]=t4;
- }
- al+=4;
- for (; i<al; i++)
- rp[i]=ap[i];
-#endif
-
- if (BN_ucmp(ret, &(mont->N)) >= 0)
- {
- if (!BN_usub(ret,ret,&(mont->N))) return(0);
- }
- bn_check_top(ret);
-
- return(1);
- }
-#endif /* MONT_WORD */
+{
+ BIGNUM *n;
+ BN_ULONG *ap, *np, *rp, n0, v, carry;
+ int nl, max, i;
+
+ n = &(mont->N);
+ nl = n->top;
+ if (nl == 0) {
+ ret->top = 0;
+ return (1);
+ }
+
+ max = (2 * nl); /* carry is stored separately */
+ if (bn_wexpand(r, max) == NULL)
+ return (0);
+
+ r->neg ^= n->neg;
+ np = n->d;
+ rp = r->d;
+
+ /* clear the top words of T */
+ memset(&rp[r->top], 0, sizeof(*rp) * (max - r->top));
+
+ r->top = max;
+ n0 = mont->n0[0];
+
+ for (carry = 0, i = 0; i < nl; i++, rp++) {
+ v = bn_mul_add_words(rp, np, nl, (rp[0] * n0) & BN_MASK2);
+ v = (v + carry + rp[nl]) & BN_MASK2;
+ carry |= (v != rp[nl]);
+ carry &= (v <= rp[nl]);
+ rp[nl] = v;
+ }
+
+ if (bn_wexpand(ret, nl) == NULL)
+ return (0);
+ ret->top = nl;
+ ret->neg = r->neg;
+
+ rp = ret->d;
+ ap = &(r->d[nl]);
+
+# define BRANCH_FREE 1
+# if BRANCH_FREE
+ {
+ BN_ULONG *nrp;
+ size_t m;
+
+ v = bn_sub_words(rp, ap, np, nl) - carry;
+ /*
+ * if subtraction result is real, then trick unconditional memcpy
+ * below to perform in-place "refresh" instead of actual copy.
+ */
+ m = (0 - (size_t)v);
+ nrp =
+ (BN_ULONG *)(((PTR_SIZE_INT) rp & ~m) | ((PTR_SIZE_INT) ap & m));
+
+ for (i = 0, nl -= 4; i < nl; i += 4) {
+ BN_ULONG t1, t2, t3, t4;
+
+ t1 = nrp[i + 0];
+ t2 = nrp[i + 1];
+ t3 = nrp[i + 2];
+ ap[i + 0] = 0;
+ t4 = nrp[i + 3];
+ ap[i + 1] = 0;
+ rp[i + 0] = t1;
+ ap[i + 2] = 0;
+ rp[i + 1] = t2;
+ ap[i + 3] = 0;
+ rp[i + 2] = t3;
+ rp[i + 3] = t4;
+ }
+ for (nl += 4; i < nl; i++)
+ rp[i] = nrp[i], ap[i] = 0;
+ }
+# else
+ if (bn_sub_words(rp, ap, np, nl) - carry)
+ memcpy(rp, ap, nl * sizeof(BN_ULONG));
+# endif
+ bn_correct_top(r);
+ bn_correct_top(ret);
+ bn_check_top(ret);
+
+ return (1);
+}
+#endif /* MONT_WORD */
int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
- BN_CTX *ctx)
- {
- int retn=0;
+ BN_CTX *ctx)
+{
+ int retn = 0;
#ifdef MONT_WORD
- BIGNUM *t;
-
- BN_CTX_start(ctx);
- if ((t = BN_CTX_get(ctx)) && BN_copy(t,a))
- retn = BN_from_montgomery_word(ret,t,mont);
- BN_CTX_end(ctx);
-#else /* !MONT_WORD */
- BIGNUM *t1,*t2;
-
- BN_CTX_start(ctx);
- t1 = BN_CTX_get(ctx);
- t2 = BN_CTX_get(ctx);
- if (t1 == NULL || t2 == NULL) goto err;
-
- if (!BN_copy(t1,a)) goto err;
- BN_mask_bits(t1,mont->ri);
-
- if (!BN_mul(t2,t1,&mont->Ni,ctx)) goto err;
- BN_mask_bits(t2,mont->ri);
-
- if (!BN_mul(t1,t2,&mont->N,ctx)) goto err;
- if (!BN_add(t2,a,t1)) goto err;
- if (!BN_rshift(ret,t2,mont->ri)) goto err;
-
- if (BN_ucmp(ret, &(mont->N)) >= 0)
- {
- if (!BN_usub(ret,ret,&(mont->N))) goto err;
- }
- retn=1;
- bn_check_top(ret);
+ BIGNUM *t;
+
+ BN_CTX_start(ctx);
+ if ((t = BN_CTX_get(ctx)) && BN_copy(t, a))
+ retn = BN_from_montgomery_word(ret, t, mont);
+ BN_CTX_end(ctx);
+#else /* !MONT_WORD */
+ BIGNUM *t1, *t2;
+
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ t2 = BN_CTX_get(ctx);
+ if (t1 == NULL || t2 == NULL)
+ goto err;
+
+ if (!BN_copy(t1, a))
+ goto err;
+ BN_mask_bits(t1, mont->ri);
+
+ if (!BN_mul(t2, t1, &mont->Ni, ctx))
+ goto err;
+ BN_mask_bits(t2, mont->ri);
+
+ if (!BN_mul(t1, t2, &mont->N, ctx))
+ goto err;
+ if (!BN_add(t2, a, t1))
+ goto err;
+ if (!BN_rshift(ret, t2, mont->ri))
+ goto err;
+
+ if (BN_ucmp(ret, &(mont->N)) >= 0) {
+ if (!BN_usub(ret, ret, &(mont->N)))
+ goto err;
+ }
+ retn = 1;
+ bn_check_top(ret);
err:
- BN_CTX_end(ctx);
-#endif /* MONT_WORD */
- return(retn);
- }
+ BN_CTX_end(ctx);
+#endif /* MONT_WORD */
+ return (retn);
+}
BN_MONT_CTX *BN_MONT_CTX_new(void)
- {
- BN_MONT_CTX *ret;
+{
+ BN_MONT_CTX *ret;
- if ((ret=(BN_MONT_CTX *)OPENSSL_malloc(sizeof(BN_MONT_CTX))) == NULL)
- return(NULL);
+ if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL)
+ return (NULL);
- BN_MONT_CTX_init(ret);
- ret->flags=BN_FLG_MALLOCED;
- return(ret);
- }
+ BN_MONT_CTX_init(ret);
+ ret->flags = BN_FLG_MALLOCED;
+ return (ret);
+}
void BN_MONT_CTX_init(BN_MONT_CTX *ctx)
- {
- ctx->ri=0;
- BN_init(&(ctx->RR));
- BN_init(&(ctx->N));
- BN_init(&(ctx->Ni));
- ctx->flags=0;
- }
+{
+ ctx->ri = 0;
+ BN_init(&(ctx->RR));
+ BN_init(&(ctx->N));
+ BN_init(&(ctx->Ni));
+ ctx->n0[0] = ctx->n0[1] = 0;
+ ctx->flags = 0;
+}
void BN_MONT_CTX_free(BN_MONT_CTX *mont)
- {
- if(mont == NULL)
- return;
+{
+ if (mont == NULL)
+ return;
- BN_free(&(mont->RR));
- BN_free(&(mont->N));
- BN_free(&(mont->Ni));
- if (mont->flags & BN_FLG_MALLOCED)
- OPENSSL_free(mont);
- }
+ BN_free(&(mont->RR));
+ BN_free(&(mont->N));
+ BN_free(&(mont->Ni));
+ if (mont->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(mont);
+}
int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)
- {
- int ret = 0;
- BIGNUM *Ri,*R;
-
- BN_CTX_start(ctx);
- if((Ri = BN_CTX_get(ctx)) == NULL) goto err;
- R= &(mont->RR); /* grab RR as a temp */
- if (!BN_copy(&(mont->N),mod)) goto err; /* Set N */
- mont->N.neg = 0;
+{
+ int ret = 0;
+ BIGNUM *Ri, *R;
+
+ BN_CTX_start(ctx);
+ if ((Ri = BN_CTX_get(ctx)) == NULL)
+ goto err;
+ R = &(mont->RR); /* grab RR as a temp */
+ if (!BN_copy(&(mont->N), mod))
+ goto err; /* Set N */
+ mont->N.neg = 0;
#ifdef MONT_WORD
- {
- BIGNUM tmod;
- BN_ULONG buf[2];
-
- mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2;
- BN_zero(R);
- if (!(BN_set_bit(R,BN_BITS2))) goto err; /* R */
-
- buf[0]=mod->d[0]; /* tmod = N mod word size */
- buf[1]=0;
- tmod.d=buf;
- tmod.top = buf[0] != 0 ? 1 : 0;
- tmod.dmax=2;
- tmod.neg=0;
- /* Ri = R^-1 mod N*/
- if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL)
- goto err;
- if (!BN_lshift(Ri,Ri,BN_BITS2)) goto err; /* R*Ri */
- if (!BN_is_zero(Ri))
- {
- if (!BN_sub_word(Ri,1)) goto err;
- }
- else /* if N mod word size == 1 */
- {
- if (!BN_set_word(Ri,BN_MASK2)) goto err; /* Ri-- (mod word size) */
- }
- if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err;
- /* Ni = (R*Ri-1)/N,
- * keep only least significant word: */
- mont->n0 = (Ri->top > 0) ? Ri->d[0] : 0;
- }
-#else /* !MONT_WORD */
- { /* bignum version */
- mont->ri=BN_num_bits(&mont->N);
- BN_zero(R);
- if (!BN_set_bit(R,mont->ri)) goto err; /* R = 2^ri */
- /* Ri = R^-1 mod N*/
- if ((BN_mod_inverse(Ri,R,&mont->N,ctx)) == NULL)
- goto err;
- if (!BN_lshift(Ri,Ri,mont->ri)) goto err; /* R*Ri */
- if (!BN_sub_word(Ri,1)) goto err;
- /* Ni = (R*Ri-1) / N */
- if (!BN_div(&(mont->Ni),NULL,Ri,&mont->N,ctx)) goto err;
- }
+ {
+ BIGNUM tmod;
+ BN_ULONG buf[2];
+
+ BN_init(&tmod);
+ tmod.d = buf;
+ tmod.dmax = 2;
+ tmod.neg = 0;
+
+ mont->ri = (BN_num_bits(mod) + (BN_BITS2 - 1)) / BN_BITS2 * BN_BITS2;
+
+# if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)
+ /*
+ * Only certain BN_BITS2<=32 platforms actually make use of n0[1],
+ * and we could use the #else case (with a shorter R value) for the
+ * others. However, currently only the assembler files do know which
+ * is which.
+ */
+
+ BN_zero(R);
+ if (!(BN_set_bit(R, 2 * BN_BITS2)))
+ goto err;
+
+ tmod.top = 0;
+ if ((buf[0] = mod->d[0]))
+ tmod.top = 1;
+ if ((buf[1] = mod->top > 1 ? mod->d[1] : 0))
+ tmod.top = 2;
+
+ if ((BN_mod_inverse(Ri, R, &tmod, ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri, Ri, 2 * BN_BITS2))
+ goto err; /* R*Ri */
+ if (!BN_is_zero(Ri)) {
+ if (!BN_sub_word(Ri, 1))
+ goto err;
+ } else { /* if N mod word size == 1 */
+
+ if (bn_expand(Ri, (int)sizeof(BN_ULONG) * 2) == NULL)
+ goto err;
+ /* Ri-- (mod double word size) */
+ Ri->neg = 0;
+ Ri->d[0] = BN_MASK2;
+ Ri->d[1] = BN_MASK2;
+ Ri->top = 2;
+ }
+ if (!BN_div(Ri, NULL, Ri, &tmod, ctx))
+ goto err;
+ /*
+ * Ni = (R*Ri-1)/N, keep only couple of least significant words:
+ */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0;
+# else
+ BN_zero(R);
+ if (!(BN_set_bit(R, BN_BITS2)))
+ goto err; /* R */
+
+ buf[0] = mod->d[0]; /* tmod = N mod word size */
+ buf[1] = 0;
+ tmod.top = buf[0] != 0 ? 1 : 0;
+ /* Ri = R^-1 mod N */
+ if ((BN_mod_inverse(Ri, R, &tmod, ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri, Ri, BN_BITS2))
+ goto err; /* R*Ri */
+ if (!BN_is_zero(Ri)) {
+ if (!BN_sub_word(Ri, 1))
+ goto err;
+ } else { /* if N mod word size == 1 */
+
+ if (!BN_set_word(Ri, BN_MASK2))
+ goto err; /* Ri-- (mod word size) */
+ }
+ if (!BN_div(Ri, NULL, Ri, &tmod, ctx))
+ goto err;
+ /*
+ * Ni = (R*Ri-1)/N, keep only least significant word:
+ */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = 0;
+# endif
+ }
+#else /* !MONT_WORD */
+ { /* bignum version */
+ mont->ri = BN_num_bits(&mont->N);
+ BN_zero(R);
+ if (!BN_set_bit(R, mont->ri))
+ goto err; /* R = 2^ri */
+ /* Ri = R^-1 mod N */
+ if ((BN_mod_inverse(Ri, R, &mont->N, ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri, Ri, mont->ri))
+ goto err; /* R*Ri */
+ if (!BN_sub_word(Ri, 1))
+ goto err;
+ /*
+ * Ni = (R*Ri-1) / N
+ */
+ if (!BN_div(&(mont->Ni), NULL, Ri, &mont->N, ctx))
+ goto err;
+ }
#endif
- /* setup RR for conversions */
- BN_zero(&(mont->RR));
- if (!BN_set_bit(&(mont->RR),mont->ri*2)) goto err;
- if (!BN_mod(&(mont->RR),&(mont->RR),&(mont->N),ctx)) goto err;
+ /* setup RR for conversions */
+ BN_zero(&(mont->RR));
+ if (!BN_set_bit(&(mont->RR), mont->ri * 2))
+ goto err;
+ if (!BN_mod(&(mont->RR), &(mont->RR), &(mont->N), ctx))
+ goto err;
- ret = 1;
-err:
- BN_CTX_end(ctx);
- return ret;
- }
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+}
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from)
- {
- if (to == from) return(to);
-
- if (!BN_copy(&(to->RR),&(from->RR))) return NULL;
- if (!BN_copy(&(to->N),&(from->N))) return NULL;
- if (!BN_copy(&(to->Ni),&(from->Ni))) return NULL;
- to->ri=from->ri;
- to->n0=from->n0;
- return(to);
- }
+{
+ if (to == from)
+ return (to);
+
+ if (!BN_copy(&(to->RR), &(from->RR)))
+ return NULL;
+ if (!BN_copy(&(to->N), &(from->N)))
+ return NULL;
+ if (!BN_copy(&(to->Ni), &(from->Ni)))
+ return NULL;
+ to->ri = from->ri;
+ to->n0[0] = from->n0[0];
+ to->n0[1] = from->n0[1];
+ return (to);
+}
BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
- const BIGNUM *mod, BN_CTX *ctx)
- {
- if (*pmont)
- return *pmont;
- CRYPTO_w_lock(lock);
- if (!*pmont)
- {
- *pmont = BN_MONT_CTX_new();
- if (*pmont && !BN_MONT_CTX_set(*pmont, mod, ctx))
- {
- BN_MONT_CTX_free(*pmont);
- *pmont = NULL;
- }
- }
- CRYPTO_w_unlock(lock);
- return *pmont;
- }
+ const BIGNUM *mod, BN_CTX *ctx)
+{
+ BN_MONT_CTX *ret;
+
+ CRYPTO_r_lock(lock);
+ ret = *pmont;
+ CRYPTO_r_unlock(lock);
+ if (ret)
+ return ret;
+
+ /*
+ * We don't want to serialise globally while doing our lazy-init math in
+ * BN_MONT_CTX_set. That punishes threads that are doing independent
+ * things. Instead, punish the case where more than one thread tries to
+ * lazy-init the same 'pmont', by having each do the lazy-init math work
+ * independently and only use the one from the thread that wins the race
+ * (the losers throw away the work they've done).
+ */
+ ret = BN_MONT_CTX_new();
+ if (!ret)
+ return NULL;
+ if (!BN_MONT_CTX_set(ret, mod, ctx)) {
+ BN_MONT_CTX_free(ret);
+ return NULL;
+ }
+
+ /* The locked compare-and-set, after the local work is done. */
+ CRYPTO_w_lock(lock);
+ if (*pmont) {
+ BN_MONT_CTX_free(ret);
+ ret = *pmont;
+ } else
+ *pmont = ret;
+ CRYPTO_w_unlock(lock);
+ return ret;
+}
projects / openssl.git / blobdiff