X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fbn_nist.c;h=bd04e7e29da55b253fd28f29d75c328c0fba22d4;hp=79f7c2ef2867ef12822894b275d27c53d3704008;hb=f8d6be3f8170c4aa3bea1618994f912629f3d0c3;hpb=078dd1a0f94394632614123af3155866749ff79c diff --git a/crypto/bn/bn_nist.c b/crypto/bn/bn_nist.c index 79f7c2ef28..bd04e7e29d 100644 --- a/crypto/bn/bn_nist.c +++ b/crypto/bn/bn_nist.c @@ -1,6 +1,9 @@ /* 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 @@ -56,741 +59,651 @@ #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; - - BN_192_SET(t_d,4,4,0) - 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,5,5,5) - 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); - 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) + if (BN_ucmp(field, r) <= 0) { - bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP); - bn_correct_top(r); + if (!BN_usub(r, r, field)) return 0; } - 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*BN_NIST_224_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_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) + if (BN_ucmp(field, r) <= 0) { - bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP); - bn_correct_top(r); + if (!BN_usub(r, r, field)) return 0; } - 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; + return 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) + if (BN_ucmp(field, r) <= 0) { - bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP); - bn_correct_top(r); + if (!BN_usub(r, r, field)) return 0; } - 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 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) + if (BN_ucmp(field, r) <= 0) { - bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP); - bn_correct_top(r); + if (!BN_usub(r, r, field)) return 0; } - bn_check_top(r); + return 1; -#else - return 0; -#endif } int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, @@ -800,46 +713,62 @@ int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, #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; + field = &_bignum_nist_p_521; /* just to make sure */ + + if (BN_is_negative(a)) + return BN_nnmod(r, field, a, 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))))) - return (r == a)? 1 : (BN_copy(r ,a) != NULL); + (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK))))) + { + 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); + } + } + + 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_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; + 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)) - 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))) + goto err; + + if (BN_ucmp(field, r) <= 0) { - BN_NIST_ADD_ONE(r_d) - r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; + if (!BN_usub(r, r, field)) goto err; } - bn_correct_top(r); ret = 1; err: