Commit 0c86c87c authored by Andy Polyakov's avatar Andy Polyakov
Browse files

Updates from stable branch: BN_*_no_branch privatization and elimination of

conditional final subtraction in Montgomery multiplication.
parent e20d6ef3
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+0 −4
Original line number Diff line number Diff line
@@ -435,8 +435,6 @@ void BN_set_negative(BIGNUM *b, int n);

int	BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
	BN_CTX *ctx);
int	BN_div_no_branch(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
	const BIGNUM *d, BN_CTX *ctx);
#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
int	BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
int	BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
@@ -505,8 +503,6 @@ int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
int	BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
BIGNUM *BN_mod_inverse(BIGNUM *ret,
	const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
BIGNUM *BN_mod_inverse_no_branch(BIGNUM *ret,
	const BIGNUM *A, const BIGNUM *n,BN_CTX *ctx);
BIGNUM *BN_mod_sqrt(BIGNUM *ret,
	const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);

+5 −3
Original line number Diff line number Diff line
@@ -169,13 +169,15 @@ int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
#endif /* OPENSSL_NO_ASM */


/* BN_div computes  dv := num / divisor,  rounding towards zero, and sets up
 * rm  such that  dv*divisor + rm = num  holds.
/* BN_div[_no_branch] computes  dv := num / divisor,  rounding towards
 * zero, and sets up rm  such that  dv*divisor + rm = num  holds.
 * Thus:
 *     dv->neg == num->neg ^ divisor->neg  (unless the result is zero)
 *     rm->neg == num->neg                 (unless the remainder is zero)
 * If 'dv' or 'rm' is NULL, the respective value is not returned.
 */
static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
        const BIGNUM *divisor, BN_CTX *ctx);
int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
	   BN_CTX *ctx)
	{
@@ -406,7 +408,7 @@ err:
/* BN_div_no_branch is a special version of BN_div. It does not contain
 * branches that may leak sensitive information.
 */
int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, 
static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, 
	const BIGNUM *divisor, BN_CTX *ctx)
	{
	int norm_shift,i,loop;
+3 −1
Original line number Diff line number Diff line
@@ -203,6 +203,8 @@ err:


/* solves ax == 1 (mod n) */
static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
        const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
BIGNUM *BN_mod_inverse(BIGNUM *in,
	const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
	{
@@ -501,7 +503,7 @@ err:
/* BN_mod_inverse_no_branch is a special version of BN_mod_inverse. 
 * It does not contain branches that may leak sensitive information.
 */
BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
	const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
	{
	BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL;
+71 −13
Original line number Diff line number Diff line
@@ -176,7 +176,6 @@ int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,

	max=(nl+al+1); /* allow for overflow (no?) XXX */
	if (bn_wexpand(r,max) == NULL) goto err;
	if (bn_wexpand(ret,max) == NULL) goto err;

	r->neg=a->neg^n->neg;
	np=n->d;
@@ -228,19 +227,76 @@ int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
		}
	bn_correct_top(r);
	
	/* mont->ri will be a multiple of the word size */
#if 0
	BN_rshift(ret,r,mont->ri);
#else
	/* mont->ri will be a multiple of the word size and below code
	 * is kind of BN_rshift(ret,r,mont->ri) equivalent */
	if (r->top <= ri)
		{
		ret->top=0;
		retn=1;
		goto err;
		}
	al=r->top-ri;

# define BRANCH_FREE 1
# if BRANCH_FREE
	if (bn_wexpand(ret,ri) == NULL) goto err;
	x=0-(((al-ri)>>(sizeof(al)*8-1))&1);
	ret->top=x=(ri&~x)|(al&x);	/* min(ri,al) */
	ret->neg=r->neg;
	x=ri;

	rp=ret->d;
	ap= &(r->d[x]);
	if (r->top < x)
		al=0;
	else
		al=r->top-x;
	ap=&(r->d[ri]);
	nrp=ap;

	/* This 'if' denotes violation of 2*M<r^(n-1) boundary condition
	 * formulated by C.D.Walter in "Montgomery exponentiation needs
	 * no final subtractions." Incurred branch can disclose only
	 * information about modulus length, which is not really secret. */
	if ((mont->N.d[ri-1]>>(BN_BITS2-2))!=0)
		{
		size_t m1,m2;

		v=bn_sub_words(rp,ap,mont->N.d,ri);
		/* this -----------------------^^ works even in al<ri case
		 * thanks to zealous zeroing of top of the vector in the
		 * beginning. */

		/* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
		/* in other words if subtraction result is real, then
		 * trick unconditional memcpy below to perform in-place
		 * "refresh" instead of actual copy. */
		m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1);	/* al<ri */
		m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1);	/* al>ri */
		m1|=m2;			/* (al!=ri) */
		m1|=(0-(size_t)v);	/* (al!=ri || v) */
		m1&=~m2;		/* (al!=ri || v) && !al>ri */
		nrp=(BN_ULONG *)(((size_t)rp&~m1)|((size_t)ap&m1));
		}

	/* 'i<ri' is chosen to eliminate dependency on input data, even
	 * though it results in redundant copy in al<ri case. */
	for (i=0,ri-=4; i<ri; 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 (ri+=4; i<ri; i++)
		rp[i]=nrp[i], ap[i]=0;
# else
	if (bn_wexpand(ret,al) == NULL) goto err;
	ret->top=al;
	ret->neg=r->neg;

	rp=ret->d;
	ap=&(r->d[ri]);
	al-=4;
	for (i=0; i<al; i+=4)
		{
@@ -278,10 +334,12 @@ int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
	if (!BN_rshift(ret,t2,mont->ri)) goto err;
#endif /* MONT_WORD */

#if !defined(BRANCH_FREE) || BRANCH_FREE==0
	if (BN_ucmp(ret, &(mont->N)) >= 0)
		{
		if (!BN_usub(ret,ret,&(mont->N))) goto err;
		}
#endif
	retn=1;
	bn_check_top(ret);
 err:
+0 −2
Original line number Diff line number Diff line
@@ -3511,8 +3511,6 @@ BIO_get_callback_arg 3902 EXIST::FUNCTION:
BIO_set_callback                        3903	EXIST::FUNCTION:
d2i_ASIdOrRange                         3904	EXIST::FUNCTION:RFC3779
i2d_ASIdentifiers                       3905	EXIST::FUNCTION:RFC3779
BN_div_no_branch                        3906	EXIST::FUNCTION:
BN_mod_inverse_no_branch                3907	EXIST::FUNCTION:
SEED_decrypt                            3908	EXIST::FUNCTION:SEED
SEED_encrypt                            3909	EXIST::FUNCTION:SEED
SEED_cbc_encrypt                        3910	EXIST::FUNCTION:SEED