diff options
Diffstat (limited to 'openssl/crypto/bn/bn_nist.c')
| -rw-r--r-- | openssl/crypto/bn/bn_nist.c | 2039 |
1 files changed, 1096 insertions, 943 deletions
diff --git a/openssl/crypto/bn/bn_nist.c b/openssl/crypto/bn/bn_nist.c index abb157085..4a45404c6 100644 --- a/openssl/crypto/bn/bn_nist.c +++ b/openssl/crypto/bn/bn_nist.c @@ -10,7 +10,7 @@ * are met: * * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. + * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in @@ -59,265 +59,277 @@ #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 +#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[][BN_NIST_192_TOP] = { - {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL}, - {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL}, - {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL} - }; + {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL}, + {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL}, + {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL} +}; + static const BN_ULONG _nist_p_192_sqr[] = { - 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL, - 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL - }; + 0x0000000000000001ULL, 0x0000000000000002ULL, 0x0000000000000001ULL, + 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL +}; + static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { - {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, - 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}, - {0x0000000000000002ULL,0xFFFFFFFE00000000ULL, - 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */ - }; + {0x0000000000000001ULL, 0xFFFFFFFF00000000ULL, + 0xFFFFFFFFFFFFFFFFULL, 0x00000000FFFFFFFFULL}, + {0x0000000000000002ULL, 0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFFULL} /* this one is + * "carry-full" */ +}; + static const BN_ULONG _nist_p_224_sqr[] = { - 0x0000000000000001ULL,0xFFFFFFFE00000000ULL, - 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL, - 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL, - 0xFFFFFFFFFFFFFFFFULL - }; + 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL, 0x0000000200000000ULL, + 0x0000000000000000ULL, 0xFFFFFFFFFFFFFFFEULL, + 0xFFFFFFFFFFFFFFFFULL +}; + 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}, - }; + {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_256_sqr[] = { - 0x0000000000000001ULL,0xFFFFFFFE00000000ULL, - 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL, - 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL, - 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL - }; + 0x0000000000000001ULL, 0xFFFFFFFE00000000ULL, + 0xFFFFFFFFFFFFFFFFULL, 0x00000001FFFFFFFEULL, + 0x00000001FFFFFFFEULL, 0x00000001FFFFFFFEULL, + 0xFFFFFFFE00000001ULL, 0xFFFFFFFE00000002ULL +}; + static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { - {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, - {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, - {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, - {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, - {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}, - }; + {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_384_sqr[] = { - 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL, - 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL, - 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL - }; + 0xFFFFFFFE00000001ULL, 0x0000000200000000ULL, 0xFFFFFFFE00000000ULL, + 0x0000000200000000ULL, 0x0000000000000001ULL, 0x0000000000000000ULL, + 0x00000001FFFFFFFEULL, 0xFFFFFFFE00000000ULL, 0xFFFFFFFFFFFFFFFDULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL +}; + static const BN_ULONG _nist_p_521[] = - {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0x00000000000001FFULL}; + { 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0x00000000000001FFULL +}; + static const BN_ULONG _nist_p_521_sqr[] = { - 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL, - 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL, - 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, - 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL - }; + 0x0000000000000001ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, + 0x0000000000000000ULL, 0x0000000000000000ULL, 0x0000000000000000ULL, + 0x0000000000000000ULL, 0x0000000000000000ULL, 0xFFFFFFFFFFFFFC00ULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0x000000000003FFFFULL +}; #elif BN_BITS2 == 32 static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = { - {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, - {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, - {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF} - }; + {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, + {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, + {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF} +}; + static const BN_ULONG _nist_p_192_sqr[] = { - 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000, - 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF - }; + 0x00000001, 0x00000000, 0x00000002, 0x00000000, 0x00000001, 0x00000000, + 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF +}; + static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = { - {0x00000001,0x00000000,0x00000000,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, - {0x00000002,0x00000000,0x00000000,0xFFFFFFFE, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF} - }; + {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, + {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF} +}; + static const BN_ULONG _nist_p_224_sqr[] = { - 0x00000001,0x00000000,0x00000000,0xFFFFFFFE, - 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002, - 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF - }; + 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, + 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000002, + 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF +}; + static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = { - {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000, - 0x00000000,0x00000000,0x00000001,0xFFFFFFFF}, - {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}, - }; + {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_256_sqr[] = { - 0x00000001,0x00000000,0x00000000,0xFFFFFFFE, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001, - 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001, - 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE - }; + 0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFE, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001, + 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE, 0x00000001, + 0x00000001, 0xFFFFFFFE, 0x00000002, 0xFFFFFFFE +}; + static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = { - {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}, - {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}, - }; + {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_384_sqr[] = { - 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE, - 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000, - 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF - }; -static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, - 0xFFFFFFFF,0x000001FF}; + 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE, + 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, + 0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF +}; + +static const BN_ULONG _nist_p_521[] = { 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, + 0xFFFFFFFF, 0x000001FF +}; + static const BN_ULONG _nist_p_521_sqr[] = { - 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000, - 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000, - 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, - 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF - }; + 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" +# 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 - }; - +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_nist_p_192; - } +{ + return &_bignum_nist_p_192; +} const BIGNUM *BN_get0_nist_prime_224(void) - { - return &_bignum_nist_p_224; - } +{ + return &_bignum_nist_p_224; +} const BIGNUM *BN_get0_nist_prime_256(void) - { - return &_bignum_nist_p_256; - } +{ + return &_bignum_nist_p_256; +} const BIGNUM *BN_get0_nist_prime_384(void) - { - return &_bignum_nist_p_384; - } +{ + return &_bignum_nist_p_384; +} const BIGNUM *BN_get0_nist_prime_521(void) - { - return &_bignum_nist_p_521; - } - +{ + return &_bignum_nist_p_521; +} static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max) - { - int i; +{ + int i; #ifdef BN_DEBUG - OPENSSL_assert(top <= max); + OPENSSL_assert(top <= max); #endif - for (i = 0; i < top; i++) - dst[i] = src[i]; - for (; i < max; i++) - dst[i] = 0; - } + for (i = 0; i < top; i++) + dst[i] = src[i]; + for (; i < max; i++) + dst[i] = 0; +} static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) - { - int i; +{ + int i; - for (i = 0; i < top; i++) - dst[i] = src[i]; - } + for (i = 0; i < top; i++) + dst[i] = src[i]; +} #if BN_BITS2 == 64 -#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; +# 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) +# 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 @@ -326,784 +338,925 @@ static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) # endif # endif #else -#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); \ - } -#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; +# 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); \ + } +# 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; # if defined(_WIN32) && !defined(__GNUC__) # define NIST_INT64 __int64 # elif defined(BN_LLONG) # define NIST_INT64 long long # endif -#endif /* BN_BITS2 != 64 */ +#endif /* BN_BITS2 != 64 */ #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) \ - } + { \ + 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 = a->top, i; - int carry; - register BN_ULONG *r_d, *a_d = a->d; - 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) - { - BN_zero(r); - return 1; - } - else if (i > 0) - return (r == a) ? 1 : (BN_copy(r ,a) != NULL); - - if (r != a) - { - 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; - - nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); + BN_CTX *ctx) +{ + int top = a->top, i; + int carry; + register BN_ULONG *r_d, *a_d = a->d; + 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) { + BN_zero(r); + return 1; + } else if (i > 0) + return (r == a) ? 1 : (BN_copy(r, a) != NULL); + + if (r != a) { + 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; + + nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, + BN_NIST_192_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[3*2-6]; - acc += bp[5*2-6]; rp[0] = (unsigned int)acc; acc >>= 32; - - acc += rp[1]; acc += bp[3*2-5]; - acc += bp[5*2-5]; rp[1] = (unsigned int)acc; acc >>= 32; - - 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; - - 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; - - 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); - } + { + 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[3 * 2 - 6]; + acc += bp[5 * 2 - 6]; + rp[0] = (unsigned int)acc; + acc >>= 32; + + acc += rp[1]; + acc += bp[3 * 2 - 5]; + acc += bp[5 * 2 - 5]; + rp[1] = (unsigned int)acc; + acc >>= 32; + + 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; + + 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; + + 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); - } + { + 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); - - return 1; - } - -typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int); + 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); + + 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) \ - { \ - 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) \ - } + { \ + 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) - { - int top = a->top, i; - int carry; - BN_ULONG *r_d, *a_d = a->d; - 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) - { - BN_zero(r); - return 1; - } - else if (i > 0) - return (r == a)? 1 : (BN_copy(r ,a) != NULL); - - if (r != a) - { - 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); - } - else - r_d = a_d; + BN_CTX *ctx) +{ + int top = a->top, i; + int carry; + BN_ULONG *r_d, *a_d = a->d; + 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) { + BN_zero(r); + return 1; + } else if (i > 0) + return (r == a) ? 1 : (BN_copy(r, a) != NULL); + + if (r != a) { + 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); + } else + r_d = a_d; #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; + /* 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 - nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); + nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, + BN_NIST_224_TOP); #endif #if defined(NIST_INT64) && BN_BITS2!=64 - { - 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[7-7]; - acc -= bp[11-7]; rp[0] = (unsigned int)acc; acc >>= 32; - - 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); + { + 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[7 - 7]; + acc -= bp[11 - 7]; + rp[0] = (unsigned int)acc; + acc >>= 32; + + 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; + 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); + { + 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 - } +# 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); + 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; + carry = (int)(~(r_d[BN_NIST_224_TOP - 1] >> 32)) & 1; #endif - } - else if (carry < 0) - { - /* it's a bit more comlicated logic in this case. - * 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); - } - 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; - } + } else if (carry < 0) { + /* + * 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); + } 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) \ - { \ - 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) \ - } + { \ + 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) - { - int i, top = a->top; - int carry = 0; - register BN_ULONG *a_d = a->d, *r_d; - 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); - - 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_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.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP); + BN_CTX *ctx) +{ + int i, top = a->top; + int carry = 0; + register BN_ULONG *a_d = a->d, *r_d; + 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); + + 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_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.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); - } + { + 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.bn, 15, 14, 13, 12, 11, 0, 0, 0); - /*S2*/ - 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_d; - c=0; - for (i = BN_NIST_256_TOP; i != 0; --i) - { - t= *ap; - *(ap++)=((t<<1)|c)&BN_MASK2; - c=(t & BN_TBIT)?1:0; - } - carry <<= 1; - carry |= c; - } - carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); - /*S3*/ - 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.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.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.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.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.bn, 13, 0, 11, 10, 9, 0, 15, 14); - carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); - - } + { + BN_ULONG t_d[BN_NIST_256_TOP]; + + /* + * S1 + */ + nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0); + /* + * S2 + */ + 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_d; + c = 0; + for (i = BN_NIST_256_TOP; i != 0; --i) { + t = *ap; + *(ap++) = ((t << 1) | c) & BN_MASK2; + c = (t & BN_TBIT) ? 1 : 0; + } + carry <<= 1; + carry |= c; + } + carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); + /* + * S3 + */ + 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.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.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.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.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.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) - { - 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); - - return 1; - } + /* 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) { + 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); + + return 1; +} #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) \ - } + { \ + 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) - { - int i, top = a->top; - int carry = 0; - register BN_ULONG *r_d, *a_d = a->d; - 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) - { - BN_zero(r); - return 1; - } - else if (i > 0) - return (r == a)? 1 : (BN_copy(r ,a) != NULL); - - if (r != a) - { - 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.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP); + BN_CTX *ctx) +{ + int i, top = a->top; + int carry = 0; + register BN_ULONG *r_d, *a_d = a->d; + 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) { + BN_zero(r); + return 1; + } else if (i > 0) + return (r == a) ? 1 : (BN_copy(r, a) != NULL); + + if (r != a) { + 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.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); - } + { + 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.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 = 3; i != 0; --i) - { - t= *ap; - *(ap++)=((t<<1)|c)&BN_MASK2; - c=(t & BN_TBIT)?1:0; - } - *ap=c; - } - carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), - t_d, BN_NIST_256_TOP); - /*S2 */ - carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); - /*S3*/ - 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.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_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.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.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.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.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); - - } + { + BN_ULONG t_d[BN_NIST_384_TOP]; + + /* + * S1 + */ + 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 = 3; i != 0; --i) { + t = *ap; + *(ap++) = ((t << 1) | c) & BN_MASK2; + c = (t & BN_TBIT) ? 1 : 0; + } + *ap = c; + } + carry = + (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2), + t_d, BN_NIST_256_TOP); + /* + * S2 + */ + carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); + /* + * S3 + */ + 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.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_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.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.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.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.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) - { - 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); - - return 1; - } - -#define BN_NIST_521_RSHIFT (521%BN_BITS2) -#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) -#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) + /* 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) { + 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); + + return 1; +} + +#define BN_NIST_521_RSHIFT (521%BN_BITS2) +#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) +#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, - BN_CTX *ctx) - { - 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 }; - - field = &_bignum_nist_p_521; /* just to make sure */ - - if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0) - return BN_nnmod(r, a, field, 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_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; - - /* 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++) - { - t_d[i] = ( val>>BN_NIST_521_RSHIFT | - (tmp=t_d[i+1])<<BN_NIST_521_LSHIFT ) & BN_MASK2; - val=tmp; - } - 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); - - return 1; - } + BN_CTX *ctx) +{ + 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 + }; + + field = &_bignum_nist_p_521; /* just to make sure */ + + if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0) + return BN_nnmod(r, a, field, 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_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; + + /* 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++) { + t_d[i] = (val >> BN_NIST_521_RSHIFT | + (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2; + val = tmp; + } + 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); + + return 1; +} |