#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
#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+/* pre-computed tables are "carry-less" values of modulus*(i+1) */
#if BN_BITS2 == 64
-static const BN_ULONG _nist_p_192[] =
- {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
- 0xFFFFFFFFFFFFFFFFULL};
-static const BN_ULONG _nist_p_224[] =
+__fips_constseg
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
-static const BN_ULONG _nist_p_256[] =
+ 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
+ {0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
+ 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
- 0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
-static const BN_ULONG _nist_p_384[] =
- {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
- 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
- 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
+ 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
+ };
+__fips_constseg
static const BN_ULONG _nist_p_521[] =
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0x00000000000001FFULL};
+__fips_constseg
+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[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
-static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+__fips_constseg
+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}
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
+ 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
+__fips_constseg
+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}
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
+ 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
+ 0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
+ {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001,
+ 0x00000000,0x00000000,0x00000002,0xFFFFFFFE},
+ {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002,
+ 0x00000000,0x00000000,0x00000003,0xFFFFFFFD},
+ {0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003,
+ 0x00000000,0x00000000,0x00000004,0xFFFFFFFC},
+ {0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
+ 0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
+ 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
+ 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
+ };
+__fips_constseg
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ };
+__fips_constseg
+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
+ };
+__fips_constseg
static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0x000001FF};
-#elif BN_BITS2 == 16
-static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
- 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
- 0xFFFF};
-static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
- 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
-#elif BN_BITS2 == 8
-static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF};
-static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
- 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
-static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0x01};
+__fips_constseg
+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
+
+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,
- 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,
- 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,
- 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,
- 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;
}
-/* some misc internal functions */
-static BN_ULONG _256_data[BN_NIST_256_TOP*6];
-static int _is_set_256_data = 0;
-static void _init_256_data(void);
-static BN_ULONG _384_data[BN_NIST_384_TOP*8];
-static int _is_set_384_data = 0;
-static void _init_384_data(void);
+static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max)
+ {
+ int i;
-#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
+#ifdef BN_DEBUG
+ OPENSSL_assert(top <= max);
+#endif
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+ for (; i < max; i++)
+ dst[i] = 0;
+ }
-static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
- {
+static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
+ {
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;
- }
-
-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++;
- }
+
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+ }
#if BN_BITS2 == 64
-#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
+#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
-/* TBD */
-#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
-#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+/*
+ * two following macros are implemented under assumption that they
+ * are called in a sequence with *ascending* n, i.e. as they are...
+ */
+#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
+ :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
+#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
+#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
+# if defined(L_ENDIAN)
+# if defined(__arch64__)
+# define NIST_INT64 long
+# else
+# define NIST_INT64 long long
+# endif
+# endif
#else
#define bn_cp_64(to, n, from, m) \
{ \
bn_32_set_0(to, (n)*2); \
bn_32_set_0(to, (n)*2+1); \
}
-#if BN_BITS2 == 32
-#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
+#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
-#elif BN_BITS2 == 16
-#define bn_cp_32(to, n, from, m) \
- { \
- (to)[(n)*2] = (from)[(m)*2]; \
- (to)[(n)*2+1] = (from)[(m)*2+1];\
- }
-#define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
-#elif BN_BITS2 == 8
-#define bn_cp_32(to, n, from, m) \
- { \
- (to)[(n)*4] = (from)[(m)*4]; \
- (to)[(n)*4+1] = (from)[(m)*4+1];\
- (to)[(n)*4+2] = (from)[(m)*4+2];\
- (to)[(n)*4+3] = (from)[(m)*4+3];\
- }
-#define bn_32_set_0(to, n) \
- { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
- (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
-#endif
+# if defined(_WIN32) && !defined(__GNUC__)
+# define NIST_INT64 __int64
+# elif defined(BN_LLONG)
+# define NIST_INT64 long long
+# endif
#endif /* BN_BITS2 != 64 */
-
#define nist_set_192(to, from, a1, a2, a3) \
{ \
- if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
+ bn_cp_64(to, 0, from, (a3) - 3) \
bn_cp_64(to, 1, from, (a2) - 3) \
- if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
+ bn_cp_64(to, 2, from, (a1) - 3) \
}
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;
+ int carry;
register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_192_TOP],
- buf[BN_NIST_192_TOP];
+ union {
+ BN_ULONG bn[BN_NIST_192_TOP];
+ unsigned int ui[BN_NIST_192_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_192_TOP],
+ *res;
+ PTR_SIZE_INT 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) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
+ return BN_nnmod(r, a, field, 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))
else
r_d = a_d;
- nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
-#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
-# pragma message save
-# pragma message disable BADSUBSCRIPT
-#endif
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp=(unsigned int *)r_d;
+ const unsigned int *bp=(const unsigned int *)buf.ui;
- nist_set_192(t_d, buf, 0, 3, 3);
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
+ acc = rp[0]; acc += bp[3*2-6];
+ acc += bp[5*2-6]; rp[0] = (unsigned int)acc; acc >>= 32;
- nist_set_192(t_d, buf, 4, 4, 0);
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
+ acc += rp[1]; acc += bp[3*2-5];
+ acc += bp[5*2-5]; rp[1] = (unsigned int)acc; acc >>= 32;
-#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
-# pragma message restore
-#endif
+ acc += rp[2]; acc += bp[3*2-6];
+ acc += bp[4*2-6];
+ acc += bp[5*2-6]; rp[2] = (unsigned int)acc; acc >>= 32;
- nist_set_192(t_d, buf, 5, 5, 5)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
+ acc += rp[3]; acc += bp[3*2-5];
+ acc += bp[4*2-5];
+ acc += bp[5*2-5]; rp[3] = (unsigned int)acc; acc >>= 32;
- while (carry)
- {
- if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
- --carry;
- }
+ acc += rp[4]; acc += bp[4*2-6];
+ acc += bp[5*2-6]; rp[4] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[5]; acc += bp[4*2-5];
+ acc += bp[5*2-5]; rp[5] = (unsigned int)acc;
+
+ carry = (int)(acc>>32);
+ }
+#else
+ {
+ BN_ULONG t_d[BN_NIST_192_TOP];
+
+ nist_set_192(t_d, buf.bn, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ }
+#endif
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
+ else
+ carry = 1;
+
+ /*
+ * we need 'if (carry==0 || result>=modulus) result-=modulus;'
+ * as comparison implies subtraction, we can write
+ * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
+ * this is what happens below, but without explicit if:-) a.
+ */
+ mask = 0-(PTR_SIZE_INT)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = c_d;
+ res = (BN_ULONG *)
+ (((PTR_SIZE_INT)res&~mask) | ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
r->top = BN_NIST_192_TOP;
bn_correct_top(r);
- if (BN_ucmp(r, field) >= 0)
- {
- bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
- bn_correct_top(r);
- }
- bn_check_top(r);
return 1;
}
+typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
+
#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
{ \
- if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
- if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
- if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
- if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
- if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
- if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
- if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
+ bn_cp_32(to, 0, from, (a7) - 7) \
+ bn_cp_32(to, 1, from, (a6) - 7) \
+ bn_cp_32(to, 2, from, (a5) - 7) \
+ bn_cp_32(to, 3, from, (a4) - 7) \
+ bn_cp_32(to, 4, from, (a3) - 7) \
+ bn_cp_32(to, 5, from, (a2) - 7) \
+ bn_cp_32(to, 6, from, (a1) - 7) \
}
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
-#if BN_BITS2 != 64
int top = a->top, i;
- int carry = 0;
+ int carry;
BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_224_TOP],
- buf[BN_NIST_224_TOP];
+ union {
+ BN_ULONG bn[BN_NIST_224_TOP];
+ unsigned int ui[BN_NIST_224_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_224_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT 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) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
+ return BN_nnmod(r, a, field, 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;
- nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
-
- 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;
- 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;
- 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;
- 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;
- }
-
- r->top = BN_NIST_224_TOP;
- bn_correct_top(r);
- if (BN_ucmp(r, field) >= 0)
- {
- bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
- bn_correct_top(r);
- }
- bn_check_top(r);
- return 1;
+#if BN_BITS2==64
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(c_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.bn, c_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
- return 0;
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
#endif
- }
-static void _init_256_data(void)
+#if defined(NIST_INT64) && BN_BITS2!=64
{
- int i;
- BN_ULONG *tmp1 = _256_data;
- const BN_ULONG *tmp2 = tmp1;
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp=(unsigned int *)r_d;
+ const unsigned int *bp=(const unsigned int *)buf.ui;
- memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
- tmp1 += BN_NIST_256_TOP;
+ acc = rp[0]; acc -= bp[7-7];
+ acc -= bp[11-7]; rp[0] = (unsigned int)acc; acc >>= 32;
- for (i=0; i<5; i++)
+ acc += rp[1]; acc -= bp[8-7];
+ acc -= bp[12-7]; rp[1] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[2]; acc -= bp[9-7];
+ acc -= bp[13-7]; rp[2] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[3]; acc += bp[7-7];
+ acc += bp[11-7];
+ acc -= bp[10-7]; rp[3] = (unsigned int)acc; acc>>= 32;
+
+ acc += rp[4]; acc += bp[8-7];
+ acc += bp[12-7];
+ acc -= bp[11-7]; rp[4] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[5]; acc += bp[9-7];
+ acc += bp[13-7];
+ acc -= bp[12-7]; rp[5] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[6]; acc += bp[10-7];
+ acc -= bp[13-7]; rp[6] = (unsigned int)acc;
+
+ carry = (int)(acc>>32);
+# if BN_BITS2==64
+ rp[7] = carry;
+# endif
+ }
+#else
+ {
+ BN_ULONG t_d[BN_NIST_224_TOP];
+
+ nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11);
+ carry -= (int)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
+ }
+#endif
+ u.f = bn_sub_words;
+ if (carry > 0)
+ {
+ carry = (int)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)
{
- bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
- tmp2 = tmp1;
- tmp1 += BN_NIST_256_TOP;
+ /* it's a bit more comlicated logic in this case.
+ * if bn_add_words yields no carry, then result
+ * has to be adjusted by unconditionally *adding*
+ * the modulus. but if it does, then result has
+ * to be compared to the modulus and conditionally
+ * adjusted by *subtracting* the latter. */
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
}
- _is_set_256_data = 1;
+ else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+
+ return 1;
}
#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
{ \
- if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
- if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
- if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
- if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
- if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
- if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
- if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
- if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
+ bn_cp_32(to, 0, from, (a8) - 8) \
+ bn_cp_32(to, 1, from, (a7) - 8) \
+ bn_cp_32(to, 2, from, (a6) - 8) \
+ bn_cp_32(to, 3, from, (a5) - 8) \
+ bn_cp_32(to, 4, from, (a4) - 8) \
+ bn_cp_32(to, 5, from, (a3) - 8) \
+ bn_cp_32(to, 6, from, (a2) - 8) \
+ bn_cp_32(to, 7, from, (a1) - 8) \
}
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
-#if BN_BITS2 != 64
int i, top = a->top;
int carry = 0;
register BN_ULONG *a_d = a->d, *r_d;
- BN_ULONG t_d[BN_NIST_256_TOP],
- t_d2[BN_NIST_256_TOP],
- buf[BN_NIST_256_TOP];
+ union {
+ BN_ULONG bn[BN_NIST_256_TOP];
+ unsigned int ui[BN_NIST_256_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_256_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT 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) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
- if (!_is_set_256_data)
- {
- CRYPTO_w_lock(CRYPTO_LOCK_BN);
-
- if (!_is_set_256_data)
- _init_256_data();
-
- CRYPTO_w_unlock(CRYPTO_LOCK_BN);
- }
-
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))
else
r_d = a_d;
- nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
+
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp=(unsigned int *)r_d;
+ const unsigned int *bp=(const unsigned int *)buf.ui;
+
+ acc = rp[0]; acc += bp[8-8];
+ acc += bp[9-8];
+ acc -= bp[11-8];
+ acc -= bp[12-8];
+ acc -= bp[13-8];
+ acc -= bp[14-8]; rp[0] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[1]; acc += bp[9-8];
+ acc += bp[10-8];
+ acc -= bp[12-8];
+ acc -= bp[13-8];
+ acc -= bp[14-8];
+ acc -= bp[15-8]; rp[1] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[2]; acc += bp[10-8];
+ acc += bp[11-8];
+ acc -= bp[13-8];
+ acc -= bp[14-8];
+ acc -= bp[15-8]; rp[2] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[3]; acc += bp[11-8];
+ acc += bp[11-8];
+ acc += bp[12-8];
+ acc += bp[12-8];
+ acc += bp[13-8];
+ acc -= bp[15-8];
+ acc -= bp[8-8];
+ acc -= bp[9-8]; rp[3] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[4]; acc += bp[12-8];
+ acc += bp[12-8];
+ acc += bp[13-8];
+ acc += bp[13-8];
+ acc += bp[14-8];
+ acc -= bp[9-8];
+ acc -= bp[10-8]; rp[4] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[5]; acc += bp[13-8];
+ acc += bp[13-8];
+ acc += bp[14-8];
+ acc += bp[14-8];
+ acc += bp[15-8];
+ acc -= bp[10-8];
+ acc -= bp[11-8]; rp[5] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[6]; acc += bp[14-8];
+ acc += bp[14-8];
+ acc += bp[15-8];
+ acc += bp[15-8];
+ acc += bp[14-8];
+ acc += bp[13-8];
+ acc -= bp[8-8];
+ acc -= bp[9-8]; rp[6] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[7]; acc += bp[15-8];
+ acc += bp[15-8];
+ acc += bp[15-8];
+ acc += bp[8 -8];
+ acc -= bp[10-8];
+ acc -= bp[11-8];
+ acc -= bp[12-8];
+ acc -= bp[13-8]; rp[7] = (unsigned int)acc;
+
+ carry = (int)(acc>>32);
+ }
+#else
+ {
+ BN_ULONG t_d[BN_NIST_256_TOP];
/*S1*/
- nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
+ nist_set_256(t_d, buf.bn, 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;
+ nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
/* left shift */
{
register BN_ULONG *ap,t,c;
*(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 += (int)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;
+ nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += (int)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;
+ nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += (int)bn_add_words(r_d, r_d, t_d, 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;
+ nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= (int)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;
+ nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= (int)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;
+ nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= (int)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;
-
- if (carry)
+ nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ }
+#endif
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
+ else if (carry < 0)
{
- 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 = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
}
-
+ else
+ carry = 1;
+
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
r->top = BN_NIST_256_TOP;
bn_correct_top(r);
- if (BN_ucmp(r, field) >= 0)
- {
- bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
- bn_correct_top(r);
- }
- bn_check_top(r);
- return 1;
-#else
- return 0;
-#endif
- }
-
-static void _init_384_data(void)
- {
- int i;
- BN_ULONG *tmp1 = _384_data;
- const BN_ULONG *tmp2 = tmp1;
- memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
- tmp1 += BN_NIST_384_TOP;
-
- for (i=0; i<7; i++)
- {
- bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
- tmp2 = tmp1;
- tmp1 += BN_NIST_384_TOP;
- }
- _is_set_384_data = 1;
+ return 1;
}
#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
{ \
- if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
- if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
- if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
- if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
- if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
- if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
- if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
- if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
- if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
- if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
- if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
- if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
+ bn_cp_32(to, 0, from, (a12) - 12) \
+ bn_cp_32(to, 1, from, (a11) - 12) \
+ bn_cp_32(to, 2, from, (a10) - 12) \
+ bn_cp_32(to, 3, from, (a9) - 12) \
+ bn_cp_32(to, 4, from, (a8) - 12) \
+ bn_cp_32(to, 5, from, (a7) - 12) \
+ bn_cp_32(to, 6, from, (a6) - 12) \
+ bn_cp_32(to, 7, from, (a5) - 12) \
+ bn_cp_32(to, 8, from, (a4) - 12) \
+ bn_cp_32(to, 9, from, (a3) - 12) \
+ bn_cp_32(to, 10, from, (a2) - 12) \
+ bn_cp_32(to, 11, from, (a1) - 12) \
}
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
-#if BN_BITS2 != 64
int i, top = a->top;
int carry = 0;
register BN_ULONG *r_d, *a_d = a->d;
- BN_ULONG t_d[BN_NIST_384_TOP],
- buf[BN_NIST_384_TOP];
-
- if (!_is_set_384_data)
- {
- CRYPTO_w_lock(CRYPTO_LOCK_BN);
-
- if (!_is_set_384_data)
- _init_384_data();
-
- CRYPTO_w_unlock(CRYPTO_LOCK_BN);
- }
+ union {
+ BN_ULONG bn[BN_NIST_384_TOP];
+ unsigned int ui[BN_NIST_384_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_384_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT 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) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
+ return BN_nnmod(r, a, field, 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))
else
r_d = a_d;
- nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
+
+#if defined(NIST_INT64)
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp=(unsigned int *)r_d;
+ const unsigned int *bp=(const unsigned int *)buf.ui;
+
+ acc = rp[0]; acc += bp[12-12];
+ acc += bp[21-12];
+ acc += bp[20-12];
+ acc -= bp[23-12]; rp[0] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[1]; acc += bp[13-12];
+ acc += bp[22-12];
+ acc += bp[23-12];
+ acc -= bp[12-12];
+ acc -= bp[20-12]; rp[1] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[2]; acc += bp[14-12];
+ acc += bp[23-12];
+ acc -= bp[13-12];
+ acc -= bp[21-12]; rp[2] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[3]; acc += bp[15-12];
+ acc += bp[12-12];
+ acc += bp[20-12];
+ acc += bp[21-12];
+ acc -= bp[14-12];
+ acc -= bp[22-12];
+ acc -= bp[23-12]; rp[3] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[4]; acc += bp[21-12];
+ acc += bp[21-12];
+ acc += bp[16-12];
+ acc += bp[13-12];
+ acc += bp[12-12];
+ acc += bp[20-12];
+ acc += bp[22-12];
+ acc -= bp[15-12];
+ acc -= bp[23-12];
+ acc -= bp[23-12]; rp[4] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[5]; acc += bp[22-12];
+ acc += bp[22-12];
+ acc += bp[17-12];
+ acc += bp[14-12];
+ acc += bp[13-12];
+ acc += bp[21-12];
+ acc += bp[23-12];
+ acc -= bp[16-12]; rp[5] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[6]; acc += bp[23-12];
+ acc += bp[23-12];
+ acc += bp[18-12];
+ acc += bp[15-12];
+ acc += bp[14-12];
+ acc += bp[22-12];
+ acc -= bp[17-12]; rp[6] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[7]; acc += bp[19-12];
+ acc += bp[16-12];
+ acc += bp[15-12];
+ acc += bp[23-12];
+ acc -= bp[18-12]; rp[7] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[8]; acc += bp[20-12];
+ acc += bp[17-12];
+ acc += bp[16-12];
+ acc -= bp[19-12]; rp[8] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[9]; acc += bp[21-12];
+ acc += bp[18-12];
+ acc += bp[17-12];
+ acc -= bp[20-12]; rp[9] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[10]; acc += bp[22-12];
+ acc += bp[19-12];
+ acc += bp[18-12];
+ acc -= bp[21-12]; rp[10] = (unsigned int)acc; acc >>= 32;
+
+ acc += rp[11]; acc += bp[23-12];
+ acc += bp[20-12];
+ acc += bp[19-12];
+ acc -= bp[22-12]; rp[11] = (unsigned int)acc;
+
+ carry = (int)(acc>>32);
+ }
+#else
+ {
+ BN_ULONG t_d[BN_NIST_384_TOP];
/*S1*/
- nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
+ nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
/* left shift */
{
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 = (int)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 += (int)bn_add_words(r_d, r_d, buf.bn, 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;
+ nist_set_384(t_d,buf.bn,20,19,18,17,16,15,14,13,12,23,22,21);
+ carry += (int)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;
+ nist_set_384(t_d,buf.bn,19,18,17,16,15,14,13,12,20,0,23,0);
+ carry += (int)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;
+ nist_set_384(t_d, buf.bn,0,0,0,0,23,22,21,20,0,0,0,0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_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;
+ nist_set_384(t_d,buf.bn,0,0,0,0,0,0,23,22,21,0,0,20);
+ carry += (int)bn_add_words(r_d, r_d, t_d, 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;
+ nist_set_384(t_d,buf.bn,22,21,20,19,18,17,16,15,14,13,12,23);
+ carry -= (int)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;
+ nist_set_384(t_d,buf.bn,0,0,0,0,0,0,0,23,22,21,20,0);
+ carry -= (int)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;
-
- if (carry)
+ nist_set_384(t_d,buf.bn,0,0,0,0,0,0,0,23,23,0,0,0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ }
+#endif
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
+ else if (carry < 0)
{
- 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 = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
}
-
+ else
+ carry = 1;
+
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
r->top = BN_NIST_384_TOP;
bn_correct_top(r);
- if (BN_ucmp(r, field) >= 0)
- {
- bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
- bn_correct_top(r);
- }
- bn_check_top(r);
+
return 1;
-#else
- return 0;
-#endif
}
+#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
-#elif BN_BITS2 == 16
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
-#elif BN_BITS2 == 8
-#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
-#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;
+ PTR_SIZE_INT 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 };
- 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_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
+ return BN_nnmod(r, a, field, 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;
+#if 0
+ /*
+ * MSC ARM compiler [version 2013, presumably even earlier,
+ * much earlier] miscompiles this code, but not one in
+ * #else section. See RT#3541.
+ */
+ tmp = val>>BN_NIST_521_RSHIFT;
+ val = t_d[i+1];
+ t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
+#else
+ t_d[i] = ( val>>BN_NIST_521_RSHIFT |
+ (tmp=t_d[i+1])<<BN_NIST_521_LSHIFT ) & BN_MASK2;
+ val=tmp;
+#endif
}
+ 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-(PTR_SIZE_INT)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
+ res = t_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
+ ((PTR_SIZE_INT)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);
+ return 1;
+ }
- bn_check_top(r);
- return ret;
+int (*BN_nist_mod_func(const BIGNUM *p))(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, BN_CTX *ctx)
+ {
+ if (BN_ucmp(&_bignum_nist_p_192, p) == 0)
+ return BN_nist_mod_192;
+ if (BN_ucmp(&_bignum_nist_p_224, p) == 0)
+ return BN_nist_mod_224;
+ if (BN_ucmp(&_bignum_nist_p_256, p) == 0)
+ return BN_nist_mod_256;
+ if (BN_ucmp(&_bignum_nist_p_384, p) == 0)
+ return BN_nist_mod_384;
+ if (BN_ucmp(&_bignum_nist_p_521, p) == 0)
+ return BN_nist_mod_521;
+ return 0;
}
projects / openssl.git / blobdiff