{0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
{0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
};
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
+ };
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
{0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
};
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
+ 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+ };
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
{0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
};
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
+ };
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
{0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
{0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
};
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
+ };
static const BN_ULONG _nist_p_521[] =
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0x00000000000001FFULL};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL
+ };
#elif BN_BITS2 == 32
static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
{0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
{0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
{0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
};
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
+ 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
{0x00000001,0x00000000,0x00000000,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
{0x00000002,0x00000000,0x00000000,0xFFFFFFFE,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
};
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
+ 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF
+ };
static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
{0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
{0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
};
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
+ 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
+ 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
+ };
static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
{0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
{0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
};
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE,
+ 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000,
+ 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0x000001FF};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF
+ };
#else
#error "unsupported BN_BITS2"
#endif
int i;
BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+#ifdef BN_DEBUG
OPENSSL_assert(top <= max);
+#endif
for (i = (top); i != 0; i--)
*_tmp1++ = *_tmp2++;
for (i = (max) - (top); i != 0; i--)
c_d[BN_NIST_192_TOP],
*res;
size_t mask;
+ static const BIGNUM _bignum_nist_p_192_sqr = {
+ (BN_ULONG *)_nist_p_192_sqr,
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
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);
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
i = BN_ucmp(field, a);
if (i == 0)
r->top = BN_NIST_192_TOP;
bn_correct_top(r);
- if (BN_ucmp(field, r) <= 0)
- {
- if (!BN_usub(r, r, field)) return 0;
- }
-
return 1;
}
*res;
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_224_sqr = {
+ (BN_ULONG *)_nist_p_224_sqr,
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
field = &_bignum_nist_p_224; /* just to make sure */
- if (BN_is_negative(a) || a->top > 2*BN_NIST_224_TOP)
- return BN_nnmod(r, field, a, ctx);
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
i = BN_ucmp(field, a);
if (i == 0)
r->top = BN_NIST_224_TOP;
bn_correct_top(r);
- if (BN_ucmp(field, r) <= 0)
- {
- if (!BN_usub(r, r, field)) return 0;
- }
-
return 1;
}
*res;
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_256_sqr = {
+ (BN_ULONG *)_nist_p_256_sqr,
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
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);
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
i = BN_ucmp(field, a);
if (i == 0)
r->top = BN_NIST_256_TOP;
bn_correct_top(r);
- if (BN_ucmp(field, r) <= 0)
- {
- if (!BN_usub(r, r, field)) return 0;
- }
-
return 1;
}
*res;
size_t mask;
union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_384_sqr = {
+ (BN_ULONG *)_nist_p_384_sqr,
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
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);
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
i = BN_ucmp(field, a);
if (i == 0)
r->top = BN_NIST_384_TOP;
bn_correct_top(r);
- if (BN_ucmp(field, r) <= 0)
- {
- if (!BN_usub(r, r, field)) return 0;
- }
-
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;
+ 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;
+ static const BIGNUM _bignum_nist_p_521_sqr = {
+ (BN_ULONG *)_nist_p_521_sqr,
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
field = &_bignum_nist_p_521; /* just to make sure */
- if (BN_is_negative(a))
- return BN_nnmod(r, field, a, ctx);
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
- /* 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)))))
+ i = BN_ucmp(field, a);
+ if (i == 0)
{
- int i = BN_ucmp(field, a);
- if (i == 0)
- {
- BN_zero(r);
- return 1;
- }
- else
- {
-#ifdef BN_DEBUG
- OPENSSL_assert(i > 0); /* because 'field' is 1111...1111 */
-#endif
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- }
+ BN_zero(r);
+ return 1;
}
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
- if (BN_num_bits(a) > 2*521)
- return BN_nnmod(r, field, a, ctx);
-
- BN_CTX_start(ctx);
- tmp = BN_CTX_get(ctx);
- if (!tmp)
- goto err;
-
- if (!bn_wexpand(tmp, BN_NIST_521_TOP))
- goto err;
- nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
-
- tmp->top = BN_NIST_521_TOP;
- tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
- bn_correct_top(tmp);
-
- if (!BN_rshift(r, a, 521))
- goto err;
-
- if (!BN_uadd(r, tmp, r))
- goto err;
-
- if (BN_ucmp(field, r) <= 0)
+ if (r != a)
{
- if (!BN_usub(r, r, field)) goto err;
+ 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;
- ret = 1;
-err:
- BN_CTX_end(ctx);
+ /* 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++)
+ {
+ 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);
- bn_check_top(r);
- return ret;
+ return 1;
}
projects / openssl.git / blobdiff