#include "bn_lcl.h"
#include "cryptlib.h"
+
#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
{0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
};
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0x000001FF};
+#else
+#error "unsupported BN_BITS2"
#endif
+
+static const BIGNUM _bignum_nist_p_192 =
+ {
+ (BN_ULONG *)_nist_p_192[0],
+ BN_NIST_192_TOP,
+ BN_NIST_192_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_224 =
+ {
+ (BN_ULONG *)_nist_p_224[0],
+ BN_NIST_224_TOP,
+ BN_NIST_224_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_256 =
+ {
+ (BN_ULONG *)_nist_p_256[0],
+ BN_NIST_256_TOP,
+ BN_NIST_256_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_384 =
+ {
+ (BN_ULONG *)_nist_p_384[0],
+ BN_NIST_384_TOP,
+ BN_NIST_384_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_521 =
+ {
+ (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP,
+ BN_NIST_521_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+
const BIGNUM *BN_get0_nist_prime_192(void)
{
- static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192[0],
- BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_192;
+ return &_bignum_nist_p_192;
}
const BIGNUM *BN_get0_nist_prime_224(void)
{
- static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224[0],
- BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_224;
+ return &_bignum_nist_p_224;
}
const BIGNUM *BN_get0_nist_prime_256(void)
{
- static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256[0],
- BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_256;
+ return &_bignum_nist_p_256;
}
const BIGNUM *BN_get0_nist_prime_384(void)
{
- static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384[0],
- BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_384;
+ return &_bignum_nist_p_384;
}
const BIGNUM *BN_get0_nist_prime_521(void)
{
- static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
- BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
- return &const_nist_521;
+ return &_bignum_nist_p_521;
}
-#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)
- {
+ {
int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- for (i = (max) - (top); i != 0; i--)
- *_tmp1++ = (BN_ULONG) 0;
- }
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+
+ OPENSSL_assert(top <= max);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ for (i = (max) - (top); i != 0; i--)
+ *_tmp1++ = (BN_ULONG) 0;
+ }
static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
- {
+ {
int i;
- BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
- for (i = (top); i != 0; i--)
- *_tmp1++ = *_tmp2++;
- }
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ }
#if BN_BITS2 == 64
#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
*res;
size_t mask;
+ field = &_bignum_nist_p_192; /* just to make sure */
+
+ if (BN_is_negative(a) || a->top > 2*BN_NIST_192_TOP)
+ return BN_nnmod(r, field, a, ctx);
+
i = BN_ucmp(field, a);
if (i == 0)
{
else if (i > 0)
return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
- if (top == BN_NIST_192_TOP)
- return BN_usub(r, a, field);
-
if (r != a)
{
if (!bn_wexpand(r, BN_NIST_192_TOP))
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
-#if BN_BITS2 == 32
int top = a->top, i;
int carry;
BN_ULONG *r_d, *a_d = a->d;
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ field = &_bignum_nist_p_224; /* just to make sure */
+
+ if (BN_is_negative(a) || a->top > (2*224+BN_BITS2-1)/BN_BITS2)
+ return BN_nnmod(r, field, a, ctx);
+
i = BN_ucmp(field, a);
if (i == 0)
{
else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- if (top == BN_NIST_224_TOP)
- return BN_usub(r, a, field);
-
if (r != a)
{
if (!bn_wexpand(r, BN_NIST_224_TOP))
else
r_d = a_d;
+#if BN_BITS2==64
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
+ /* ... and right shift by 32 to obtain upper 224 bits */
+ nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
+ /* truncate lower part to 224 bits too */
+ r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
+#else
nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
-
+#endif
nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
carry = bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+#if BN_BITS2==64
+ carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
+#endif
u.f = bn_sub_words;
if (carry > 0)
+ {
carry = bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
+#if BN_BITS2==64
+ carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
+#endif
+ }
else if (carry < 0)
{
/* it's a bit more comlicated logic in this case.
bn_correct_top(r);
return 1;
-#else /* BN_BITS!=32 */
- return 0;
-#endif
}
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ field = &_bignum_nist_p_256; /* just to make sure */
+
+ if (BN_is_negative(a) || a->top > 2*BN_NIST_256_TOP)
+ return BN_nnmod(r, field, a, ctx);
+
i = BN_ucmp(field, a);
if (i == 0)
{
else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- if (top == BN_NIST_256_TOP)
- return BN_usub(r, a, field);
-
if (r != a)
{
if (!bn_wexpand(r, BN_NIST_256_TOP))
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ field = &_bignum_nist_p_384; /* just to make sure */
+
+ if (BN_is_negative(a) || a->top > 2*BN_NIST_384_TOP)
+ return BN_nnmod(r, field, a, ctx);
+
i = BN_ucmp(field, a);
if (i == 0)
{
else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- if (top == BN_NIST_384_TOP)
- return BN_usub(r, a, field);
-
if (r != a)
{
if (!bn_wexpand(r, BN_NIST_384_TOP))
return 1;
}
+#define BN_NIST_521_RSHIFT (521%BN_BITS2)
+#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
+#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
+
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
-#if BN_BITS2 == 64
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#elif BN_BITS2 == 32
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#endif
- int top, ret = 0;
- BN_ULONG *r_d;
- BIGNUM *tmp;
-
- /* check whether a reduction is necessary */
- top = a->top;
- if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
- (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+ int top = a->top, i;
+ BN_ULONG *r_d, *a_d = a->d,
+ t_d[BN_NIST_521_TOP],
+ val,tmp,*res;
+ size_t mask;
- BN_CTX_start(ctx);
- tmp = BN_CTX_get(ctx);
- if (!tmp)
- goto err;
+ field = &_bignum_nist_p_521; /* just to make sure */
- if (!bn_wexpand(tmp, BN_NIST_521_TOP))
- goto err;
- nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
+ if (BN_is_negative(a) || BN_num_bits(a)>2*521)
+ return BN_nnmod(r, field, a, ctx);
- tmp->top = BN_NIST_521_TOP;
- tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
- bn_correct_top(tmp);
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- if (!BN_rshift(r, a, 521))
- goto err;
+ if (r != a)
+ {
+ if (!bn_wexpand(r,BN_NIST_521_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
+ }
+ else
+ r_d = a_d;
- if (!BN_uadd(r, tmp, r))
- goto err;
- top = r->top;
- r_d = r->d;
- if (top == BN_NIST_521_TOP &&
- (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
+ /* upper 521 bits, copy ... */
+ nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
+ /* ... and right shift */
+ for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
{
- BN_NIST_ADD_ONE(r_d)
- r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
+ tmp = val>>BN_NIST_521_RSHIFT;
+ val = t_d[i+1];
+ t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
}
+ t_d[i] = val>>BN_NIST_521_RSHIFT;
+ /* lower 521 bits */
+ r_d[i] &= BN_NIST_521_TOP_MASK;
+
+ bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP);
+ mask = 0-(size_t)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
+ res = (BN_ULONG *)(((size_t)t_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d,res,BN_NIST_521_TOP);
+ r->top = BN_NIST_521_TOP;
bn_correct_top(r);
- ret = 1;
-err:
- BN_CTX_end(ctx);
-
- bn_check_top(r);
- return ret;
+ return 1;
}
projects / openssl.git / blobdiff