/* crypto/bn/bn_nist.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project
+ */
/* ====================================================================
- * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
+ * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
#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
-const static BN_ULONG _nist_p_192[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFE,
- 0xFFFFFFFFFFFFFFFF};
-const static BN_ULONG _nist_p_224[] = {0x0000000000000001,0xFFFFFFFF00000000,
- 0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF};
-const static BN_ULONG _nist_p_256[] = {0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF,
- 0x0000000000000000,0xFFFFFFFF00000001};
-const static BN_ULONG _nist_p_384[] = {0x00000000FFFFFFFF,0xFFFFFFFF00000000,
- 0xFFFFFFFFFFFFFFFE,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
- 0xFFFFFFFFFFFFFFFF};
-const static BN_ULONG _nist_p_521[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
- 0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
- 0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
- 0x00000000000001FF};
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,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_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
+ };
+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},
+ };
+static const BN_ULONG _nist_p_521[] =
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL};
#elif BN_BITS2 == 32
-const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
-const static BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
- 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
- 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
-const static BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+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_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_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},
+ };
+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},
+ };
+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
-const static BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
- 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-const static BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
- 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
-const static BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
- 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
- 0xFFFF};
-const static 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};
-const static 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
-const static 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};
-const static 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};
-const static 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};
-const static 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};
-const static 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};
+#else
+#error "unsupported BN_BITS2"
#endif
-static const BIGNUM_C bn_nist_p_192 =
- { _nist_p_192, BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
-static const BIGNUM_C bn_nist_p_224 =
- { _nist_p_224, BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
-static const BIGNUM_C bn_nist_p_256 =
- { _nist_p_256, BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
-static const BIGNUM_C bn_nist_p_384 =
- { _nist_p_384, BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
-static const BIGNUM_C bn_nist_p_521 =
- { _nist_p_521, BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
+
+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)
{
- return BIGNUM_CONST(&bn_nist_p_192);
+ return &_bignum_nist_p_192;
}
const BIGNUM *BN_get0_nist_prime_224(void)
{
- return BIGNUM_CONST(&bn_nist_p_224);
+ return &_bignum_nist_p_224;
}
const BIGNUM *BN_get0_nist_prime_256(void)
{
- return BIGNUM_CONST(&bn_nist_p_256);
+ return &_bignum_nist_p_256;
}
const BIGNUM *BN_get0_nist_prime_384(void)
{
- return BIGNUM_CONST(&bn_nist_p_384);
+ return &_bignum_nist_p_384;
}
const BIGNUM *BN_get0_nist_prime_521(void)
{
- return BIGNUM_CONST(&bn_nist_p_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 *buf, BN_ULONG *a, int top, int max)
+ {
+ int i;
+ 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++;
+ }
-#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
-#define __buf_0 (BN_ULONG)0
-#define __buf_0_1 (BN_ULONG)0
-#define __buf_0_2 (BN_ULONG)0
#if BN_BITS2 == 64
-#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
-#define BN_CP_64_TO_BUF(n) __buf_##n = (a)[(n)];
-#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n;
-#define BN_CASE_64_BIT(n,a) case (n): __buf_##n = (a)[(n)];
-#if UINT_MAX == 4294967295UL
-#define nist32 unsigned int
-#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
-#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
-#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
-#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
-#elif ULONG_MAX == 4294967295UL
-#define nist32 unsigned long
-#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
-#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
-#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
-#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
+#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;
+/*
+ * 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)
#else
-#define NO_32_BIT_TYPE
-#endif
-#elif BN_BITS2 == 32
-#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
-#define BN_CP_64_TO_BUF(n) __buf_##n##_2 = (a)[2*(n)+1];\
- __buf_##n##_1 = (a)[2*(n)];
-#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
- *(a)++ = __buf_##n##_2;
-#define BN_CASE_64_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
- case 2*(n): __buf_##n##_1 = (a)[2*(n)];
-
-#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
-#define BN_CP_32_TO_BUF(n) __buf_##n = (a)[(n)];
-#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n;
-#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = (a)[(n)];
-#elif BN_BITS2 == 16
-#define __buf_0_3 (BN_ULONG)0
-#define __buf_0_4 (BN_ULONG)0
-#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
-#define BN_CP_64_TO_BUF(n) __buf_##n##_4 = (a)[4*(n)+3];\
- __buf_##n##_3 = (a)[4*(n)+2];\
- __buf_##n##_2 = (a)[4*(n)+1];\
- __buf_##n##_1 = (a)[4*(n)];
-#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
- *(a)++ = __buf_##n##_2;\
- *(a)++ = __buf_##n##_3;\
- *(a)++ = __buf_##n##_4;
-#define BN_CASE_64_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
- case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
- case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
- case 4*(n): __buf_##n##_1 = (a)[4*(n)];
-#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
-#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[2*(n)];\
- __buf_##n##_2 = (a)[2*(n)+1];
-#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
- *(a)++ = __buf_##n##_2;
-#define BN_CASE_32_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
- case 2*(n): __buf_##n##_1 = (a)[2*(n)];
-#elif BN_BITS2 == 8
-#define __buf_0_3 (BN_ULONG)0
-#define __buf_0_4 (BN_ULONG)0
-#define __buf_0_5 (BN_ULONG)0
-#define __buf_0_6 (BN_ULONG)0
-#define __buf_0_7 (BN_ULONG)0
-#define __buf_0_8 (BN_ULONG)0
-#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
-#define BN_CP_64_TO_BUF(n) __buf_##n##_8 = (a)[8*(n)+7];\
- __buf_##n##_7 = (a)[8*(n)+6];\
- __buf_##n##_6 = (a)[8*(n)+5];\
- __buf_##n##_5 = (a)[8*(n)+4];\
- __buf_##n##_4 = (a)[8*(n)+3];\
- __buf_##n##_3 = (a)[8*(n)+2];\
- __buf_##n##_2 = (a)[8*(n)+1];\
- __buf_##n##_1 = (a)[8*(n)];
-#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
- *(a)++ = __buf_##n##_2;\
- *(a)++ = __buf_##n##_3;\
- *(a)++ = __buf_##n##_4;\
- *(a)++ = __buf_##n##_5;\
- *(a)++ = __buf_##n##_6;\
- *(a)++ = __buf_##n##_7;\
- *(a)++ = __buf_##n##_8;
-#define BN_CASE_64_BIT(n,a) case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
- case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
- case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
- case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
- case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
- case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
- case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
- case 8*(n): __buf_##n##_1 = (a)[8*(n)];
-#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
- BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
-#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[4*(n)];\
- __buf_##n##_2 = (a)[4*(n)+1];\
- __buf_##n##_3 = (a)[4*(n)+2];\
- __buf_##n##_4 = (a)[4*(n)+3];
-#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
- *(a)++ = __buf_##n##_2;\
- *(a)++ = __buf_##n##_3;\
- *(a)++ = __buf_##n##_4;
-#define BN_CASE_32_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
- case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
- case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
- case 4*(n): __buf_##n##_1 = (a)[4*(n)];
+#define bn_cp_64(to, n, from, m) \
+ { \
+ bn_cp_32(to, (n)*2, from, (m)*2); \
+ bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
+ }
+#define bn_64_set_0(to, n) \
+ { \
+ 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] = (m>=0)?((from)[m]):0;
+#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
#endif
+#endif /* BN_BITS2 != 64 */
-#define BN_192_SET(d,a1,a2,a3) \
- {\
- register BN_ULONG *td = (d);\
- BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
- BN_CP_64_FROM_BUF(td,a1);\
+#define nist_set_192(to, from, a1, a2, a3) \
+ { \
+ bn_cp_64(to, 0, from, (a3) - 3) \
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ 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;
- BN_ULONG carry = 0;
- register BN_ULONG *r_d, *a_d;
- BN_ULONG t_d[BN_NIST_192_TOP];
- BN_64_BIT_BUF(3) BN_64_BIT_BUF(4)
- BN_64_BIT_BUF(5)
-
- top = BN_ucmp(field, a);
- if (top == 0)
- return BN_zero(r);
- else if (top > 0)
- return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_192_TOP],
+ buf[BN_NIST_192_TOP],
+ c_d[BN_NIST_192_TOP],
+ *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)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
- if (!BN_ncopy(r, a, BN_NIST_192_TOP))
- return 0;
-
- r_d = r->d;
- a_d = a->d;
- top = a->top-1;
-
- switch (top)
{
- BN_CASE_64_BIT(5, a_d)
- BN_CASE_64_BIT(4, a_d)
- BN_CASE_64_BIT(3, a_d)
- break;
- default: /* a->top == field->top */
- return BN_usub(r, a, field);
+ if (!bn_wexpand(r, BN_NIST_192_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
}
+ else
+ r_d = a_d;
- BN_192_SET(t_d,0,3,3)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
+ nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
- BN_192_SET(t_d,4,4,0)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
+ nist_set_192(t_d, buf, 0, 3, 3);
+ carry = bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 4, 4, 0);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 5, 5, 5)
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- BN_192_SET(t_d,5,5,5)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
- ++carry;
-
- while (carry)
- {
- if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
- --carry;
- }
+ if (carry > 0)
+ carry = 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-(size_t)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
r->top = BN_NIST_192_TOP;
-
-#if 1
- bn_clear_top2max(r);
-#endif
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;
}
-#define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
- {\
- register BN_ULONG *td = (d);\
- BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
- BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
- BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
- BN_CP_32_FROM_BUF(td,a1);\
+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) \
+ { \
+ 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)
{
-#ifndef NO_32_BIT_TYPE
- int tmp_int;
- int carry = 0;
- BN_ULONG *r_d, *a_d;
- BN_ULONG t_d[BN_NIST_224_TOP];
- BN_32_BIT_BUF(7) BN_32_BIT_BUF(8)
- BN_32_BIT_BUF(9) BN_32_BIT_BUF(10)
- BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
- BN_32_BIT_BUF(13)
-
- tmp_int = BN_ucmp(field, a);
- if (tmp_int == 0)
- return BN_zero(r);
- else if (tmp_int > 0)
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_224_TOP],
+ buf[BN_NIST_224_TOP],
+ c_d[BN_NIST_224_TOP],
+ *res;
+ 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)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
- if (!BN_ncopy(r, a, BN_NIST_224_TOP))
- return 0;
-
- r_d = r->d;
- a_d = a->d;
-
- tmp_int = a->top-1;
-
- switch (tmp_int)
{
- BN_CASE_32_BIT(13, a_d)
- BN_CASE_32_BIT(12, a_d)
- BN_CASE_32_BIT(11, a_d)
- BN_CASE_32_BIT(10, a_d)
- BN_CASE_32_BIT(9, a_d)
- BN_CASE_32_BIT(8, a_d)
- BN_CASE_32_BIT(7, a_d)
- break;
- default: /* a->top == field->top */
- return BN_usub(r, a, field);
+ if (!bn_wexpand(r, BN_NIST_224_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
}
-
- BN_224_SET(t_d,10,9,8,7,0,0,0)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
- ++carry;
- BN_224_SET(t_d,0,13,12,11,0,0,0)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
- ++carry;
- BN_224_SET(t_d,13,12,11,10,9,8,7)
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
- --carry;
- BN_224_SET(t_d,0,0,0,0,13,12,11)
- if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
- --carry;
-
+ 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);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ 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)
- while (carry)
- {
- if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
- --carry;
- }
+ {
+ 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)
- while (carry)
- {
- if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
- ++carry;
- }
-
+ {
+ /* 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 = bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
r->top = BN_NIST_224_TOP;
-#if 1
- bn_clear_top2max(r);
-#endif
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;
-#else
- return 0;
-#endif
}
-static void _init_256_data(void)
- {
- int i;
- BN_ULONG *tmp1 = _256_data;
- const BN_ULONG *tmp2 = tmp1;
-
- memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
- tmp1 += BN_NIST_256_TOP;
-
- for (i=0; i<5; i++)
- {
- bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
- tmp2 = tmp1;
- tmp1 += BN_NIST_256_TOP;
- }
- _is_set_256_data = 1;
- }
-
-#define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
- {\
- register BN_ULONG *td = (d);\
- BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
- BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
- BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
- BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
+#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
+ { \
+ 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)
{
-#ifndef NO_32_BIT_TYPE
- int tmp_int;
+ int i, top = a->top;
int carry = 0;
- register BN_ULONG *a_d, *r_d;
- BN_ULONG t_d[BN_NIST_256_TOP];
- BN_ULONG t_d2[BN_NIST_256_TOP];
- BN_32_BIT_BUF(8) BN_32_BIT_BUF(9)
- BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
- BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
- BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
-
- if (!_is_set_256_data)
+ register BN_ULONG *a_d = a->d, *r_d;
+ BN_ULONG t_d[BN_NIST_256_TOP],
+ buf[BN_NIST_256_TOP],
+ c_d[BN_NIST_256_TOP],
+ *res;
+ 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)
{
- CRYPTO_w_lock(CRYPTO_LOCK_BN);
-
- if (!_is_set_256_data)
- _init_256_data();
-
- CRYPTO_w_unlock(CRYPTO_LOCK_BN);
+ BN_zero(r);
+ return 1;
}
-
- tmp_int = BN_ucmp(field, a);
- if (tmp_int == 0)
- return BN_zero(r);
- else if (tmp_int > 0)
+ else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
- if (!BN_ncopy(r, a, BN_NIST_256_TOP))
- return 0;
-
- tmp_int = a->top-1;
-
- a_d = a->d;
- r_d = r->d;
- switch (tmp_int)
{
- BN_CASE_32_BIT(15, a_d)
- BN_CASE_32_BIT(14, a_d)
- BN_CASE_32_BIT(13, a_d)
- BN_CASE_32_BIT(12, a_d)
- BN_CASE_32_BIT(11, a_d)
- BN_CASE_32_BIT(10, a_d)
- BN_CASE_32_BIT(9, a_d)
- BN_CASE_32_BIT(8, a_d)
- break;
- default: /* a->top == field->top */
- return BN_usub(r, a, field);
+ if (!bn_wexpand(r, BN_NIST_256_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, 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);
/*S1*/
- BN_256_SET(t_d,15,14,13,12,11,0,0,0)
+ nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
/*S2*/
- BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
- if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
- carry = 2;
+ nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
/* left shift */
{
register BN_ULONG *ap,t,c;
ap = t_d;
c=0;
- for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
+ for (i = BN_NIST_256_TOP; i != 0; --i)
{
t= *ap;
*(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*/
- BN_256_SET(t_d,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, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*S4*/
- BN_256_SET(t_d,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, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D1*/
- BN_256_SET(t_d,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, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D2*/
- BN_256_SET(t_d,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, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D3*/
- BN_256_SET(t_d,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, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
/*D4*/
- BN_256_SET(t_d,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, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = 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 = bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
}
+ else
+ carry = 1;
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
r->top = BN_NIST_256_TOP;
-#if 1
- bn_clear_top2max(r);
-#endif
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;
}
-#define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
- {\
- register BN_ULONG *td = (d);\
- BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
- BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
- BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
- BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
- BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
- BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
+#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
+ { \
+ 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)
{
-#ifndef NO_32_BIT_TYPE
- int tmp_int;
+ int i, top = a->top;
int carry = 0;
- register BN_ULONG *r_d, *a_d;
- BN_ULONG t_d[BN_NIST_384_TOP];
- BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
- BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
- BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
- BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
- BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
- BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
-
- if (!_is_set_384_data)
- {
- CRYPTO_w_lock(CRYPTO_LOCK_BN);
-
- if (!_is_set_384_data)
- _init_384_data();
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_384_TOP],
+ buf[BN_NIST_384_TOP],
+ c_d[BN_NIST_384_TOP],
+ *res;
+ size_t mask;
+ union { bn_addsub_f f; size_t p; } u;
- CRYPTO_w_unlock(CRYPTO_LOCK_BN);
- }
+ field = &_bignum_nist_p_384; /* just to make sure */
- tmp_int = BN_ucmp(field, a);
- if (tmp_int == 0)
- return BN_zero(r);
- else if (tmp_int > 0)
+ 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)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
- if (!BN_ncopy(r, a, BN_NIST_384_TOP))
- return 0;
-
- r_d = r->d;
- a_d = a->d;
- tmp_int = a->top-1;
-
- switch (tmp_int)
{
- BN_CASE_32_BIT(23, a_d)
- BN_CASE_32_BIT(22, a_d)
- BN_CASE_32_BIT(21, a_d)
- BN_CASE_32_BIT(20, a_d)
- BN_CASE_32_BIT(19, a_d)
- BN_CASE_32_BIT(18, a_d)
- BN_CASE_32_BIT(17, a_d)
- BN_CASE_32_BIT(16, a_d)
- BN_CASE_32_BIT(15, a_d)
- BN_CASE_32_BIT(14, a_d)
- BN_CASE_32_BIT(13, a_d)
- BN_CASE_32_BIT(12, a_d)
- break;
- default: /* a->top == field->top */
- return BN_usub(r, a, field);
+ if (!bn_wexpand(r, BN_NIST_384_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, 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);
/*S1*/
- BN_256_SET(t_d,0,0,0,0,0,23,22,21)
+ nist_set_256(t_d, buf, 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 (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
+ 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;
- /*S2*/
- BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
- if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
- ++carry;
+ carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP);
+ /*S2 */
+ carry += bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
/*S3*/
- BN_384_SET(t_d,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,20,19,18,17,16,15,14,13,12,23,22,21);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*S4*/
- BN_384_SET(t_d,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,19,18,17,16,15,14,13,12,20,0,23,0);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*S5*/
- BN_256_SET(t_d,0,0,0,0,23,22,21,20)
- 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,0,0,0,0,23,22,21,20,0,0,0,0);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*S6*/
- BN_384_SET(t_d,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,0,0,0,0,0,0,23,22,21,0,0,20);
+ carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*D1*/
- BN_384_SET(t_d,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,22,21,20,19,18,17,16,15,14,13,12,23);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*D2*/
- BN_384_SET(t_d,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,0,0,0,0,0,0,0,23,22,21,20,0);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
/*D3*/
- BN_384_SET(t_d,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,0,0,0,0,0,0,0,23,23,0,0,0);
+ carry -= bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = 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 = bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
}
+ else
+ carry = 1;
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
r->top = BN_NIST_384_TOP;
-#if 1
- bn_clear_top2max(r);
-#endif
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)))))
+ 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;
+
+ field = &_bignum_nist_p_521; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_num_bits(a)>2*521)
+ return BN_nnmod(r, field, a, ctx);
+
+ 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);
- BN_CTX_start(ctx);
- tmp = BN_CTX_get(ctx);
- if (!tmp)
- goto err;
-
- if (!BN_ncopy(tmp, a, BN_NIST_521_TOP))
- return 0;
- if (!BN_rshift(r, a, 521))
- return 0;
-
- if (tmp->top == BN_NIST_521_TOP)
- tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
-
- bn_correct_top(tmp);
- if (!BN_uadd(r, tmp, r))
- return 0;
- 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)))
+ if (r != a)
{
- BN_NIST_ADD_ONE(r_d)
- r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
+ 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);
}
- bn_correct_top(r);
+ 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