提交 2819ffb5 编写于 作者: A Andy Polyakov

Fix fast reduction on NIST curves (as well BN_NIST_ADD_ONE macro).

PR: 1593
上级 964c7e8f
......@@ -182,7 +182,7 @@ static int _is_set_384_data = 0;
static void _init_384_data(void);
#endif
#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
#define BN_NIST_ADD_ONE(a) while (!(*(a)=(*(a)+1)&BN_MASK2)) ++(a);
static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
{
......@@ -255,7 +255,6 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
int top = a->top, i;
BN_ULONG carry = 0;
register BN_ULONG *r_d, *a_d = a->d;
BN_ULONG t_d[BN_NIST_192_TOP],
buf[BN_NIST_192_TOP];
......@@ -291,11 +290,11 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
nist_set_192(t_d, buf, 0, 3, 3);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
++carry;
bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
nist_set_192(t_d, buf, 4, 4, 0);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
++carry;
bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
# pragma message restore
......@@ -303,13 +302,8 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
nist_set_192(t_d, buf, 5, 5, 5)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
++carry;
bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
while (carry)
{
if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
--carry;
}
r->top = BN_NIST_192_TOP;
bn_correct_top(r);
if (BN_ucmp(r, field) >= 0)
......@@ -336,9 +330,8 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#if BN_BITS2 != 64
#if BN_BITS2 == 32
int top = a->top, i;
int carry = 0;
BN_ULONG *r_d, *a_d = a->d;
BN_ULONG t_d[BN_NIST_224_TOP],
buf[BN_NIST_224_TOP];
......@@ -369,29 +362,16 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
++carry;
bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
++carry;
bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
--carry;
bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
--carry;
if (carry > 0)
while (carry)
{
if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
--carry;
}
else if (carry < 0)
while (carry)
{
if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
++carry;
}
bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
r->top = BN_NIST_224_TOP;
bn_correct_top(r);
......@@ -407,7 +387,7 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
#endif
}
#if BN_BITS2 != 64
#if BN_BITS2 == 32
static void _init_256_data(void)
{
int i;
......@@ -442,7 +422,7 @@ static void _init_256_data(void)
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#if BN_BITS2 != 64
#if BN_BITS2 == 32
int i, top = a->top;
int carry = 0;
register BN_ULONG *a_d = a->d, *r_d;
......@@ -488,8 +468,7 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
/*S2*/
nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
carry = 2;
carry = bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP);
/* left shift */
{
register BN_ULONG *ap,t,c;
......@@ -501,49 +480,38 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
*(ap++)=((t<<1)|c)&BN_MASK2;
c=(t & BN_TBIT)?1:0;
}
if (c)
++carry;
carry <<= 1;
carry |= c;
}
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*S3*/
nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*S4*/
nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
if (carry)
bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
(carry-1), BN_NIST_256_TOP);
/*D1*/
nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D2*/
nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D3*/
nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D4*/
nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
if (carry)
{
if (carry > 0)
bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
--carry, BN_NIST_256_TOP);
else
{
carry = -carry;
bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
--carry, BN_NIST_256_TOP);
}
}
(carry-1), BN_NIST_256_TOP);
r->top = BN_NIST_256_TOP;
bn_correct_top(r);
......@@ -559,7 +527,7 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
#endif
}
#if BN_BITS2 != 64
#if BN_BITS2 == 32
static void _init_384_data(void)
{
int i;
......@@ -598,7 +566,7 @@ static void _init_384_data(void)
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#if BN_BITS2 != 64
#if BN_BITS2 == 32
int i, top = a->top;
int carry = 0;
register BN_ULONG *r_d, *a_d = a->d;
......@@ -646,61 +614,49 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
register BN_ULONG *ap,t,c;
ap = t_d;
c=0;
for (i = BN_NIST_256_TOP; i != 0; --i)
for (i = 3; i != 0; --i)
{
t= *ap;
*(ap++)=((t<<1)|c)&BN_MASK2;
c=(t & BN_TBIT)?1:0;
}
*ap=c;
}
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
t_d, BN_NIST_256_TOP))
++carry;
carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
t_d, BN_NIST_256_TOP);
/*S2 */
if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
++carry;
carry += bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
/*S3*/
nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*S4*/
nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*S5*/
nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
t_d, BN_NIST_256_TOP))
++carry;
carry += bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
t_d, BN_NIST_256_TOP);
/*S6*/
nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
++carry;
carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
if (carry)
bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
(carry-1), BN_NIST_384_TOP);
/*D1*/
nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
--carry;
carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*D2*/
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
--carry;
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*D3*/
nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
--carry;
carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
if (carry)
{
if (carry > 0)
bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
--carry, BN_NIST_384_TOP);
else
{
carry = -carry;
bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
--carry, BN_NIST_384_TOP);
}
}
(carry-1), BN_NIST_384_TOP);
r->top = BN_NIST_384_TOP;
bn_correct_top(r);
......@@ -762,7 +718,7 @@ int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
(r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
{
BN_NIST_ADD_ONE(r_d)
r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
}
bn_correct_top(r);
......
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