diff options
Diffstat (limited to 'openssl/trunk/crypto/bn/bn_nist.c')
-rw-r--r-- | openssl/trunk/crypto/bn/bn_nist.c | 775 |
1 files changed, 775 insertions, 0 deletions
diff --git a/openssl/trunk/crypto/bn/bn_nist.c b/openssl/trunk/crypto/bn/bn_nist.c new file mode 100644 index 00000000..f8e306bb --- /dev/null +++ b/openssl/trunk/crypto/bn/bn_nist.c @@ -0,0 +1,775 @@ +/* crypto/bn/bn_nist.c */ +/* + * Written by Nils Larsch for the OpenSSL project + */ +/* ==================================================================== + * 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 + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * 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 + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ + +#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 + +#if BN_BITS2 == 64 +static const BN_ULONG _nist_p_192[] = + {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL, + 0xFFFFFFFFFFFFFFFFULL}; +static const BN_ULONG _nist_p_224[] = + {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, + 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}; +static const BN_ULONG _nist_p_256[] = + {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL, + 0x0000000000000000ULL,0xFFFFFFFF00000001ULL}; +static const BN_ULONG _nist_p_384[] = + {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL, + 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}; +static const BN_ULONG _nist_p_521[] = + {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, + 0x00000000000001FFULL}; +#elif BN_BITS2 == 32 +static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; +static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; +static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF}; +static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000, + 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; +static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, + 0xFFFFFFFF,0x000001FF}; +#elif BN_BITS2 == 16 +static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE, + 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; +static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000, + 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; +static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, + 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF, + 0xFFFF}; +static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000, + 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, + 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; +static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, + 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, + 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, + 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF}; +#elif BN_BITS2 == 8 +static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF}; +static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF}; +static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF}; +static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00, + 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF}; +static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0x01}; +#endif + +const BIGNUM *BN_get0_nist_prime_192(void) + { + static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192, + BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA }; + return &const_nist_192; + } + +const BIGNUM *BN_get0_nist_prime_224(void) + { + static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224, + BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA }; + return &const_nist_224; + } + +const BIGNUM *BN_get0_nist_prime_256(void) + { + static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256, + BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA }; + return &const_nist_256; + } + +const BIGNUM *BN_get0_nist_prime_384(void) + { + static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384, + BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA }; + return &const_nist_384; + } + +const BIGNUM *BN_get0_nist_prime_521(void) + { + static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521, + BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA }; + return &const_nist_521; + } + +/* some misc internal functions */ +#if BN_BITS2 != 64 +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); +#endif + +#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a); + +static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max) + { + int i; + BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); + for (i = (top); i != 0; i--) + *_tmp1++ = *_tmp2++; + for (i = (max) - (top); i != 0; i--) + *_tmp1++ = (BN_ULONG) 0; + } + +static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top) + { + int i; + BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); + for (i = (top); i != 0; i--) + *_tmp1++ = *_tmp2++; + } + +#if BN_BITS2 == 64 +#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m]; +#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; +/* TBD */ +#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m]; +#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; +#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); \ + } +#if BN_BITS2 == 32 +#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m]; +#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; +#elif BN_BITS2 == 16 +#define bn_cp_32(to, n, from, m) \ + { \ + (to)[(n)*2] = (from)[(m)*2]; \ + (to)[(n)*2+1] = (from)[(m)*2+1];\ + } +#define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; } +#elif BN_BITS2 == 8 +#define bn_cp_32(to, n, from, m) \ + { \ + (to)[(n)*4] = (from)[(m)*4]; \ + (to)[(n)*4+1] = (from)[(m)*4+1];\ + (to)[(n)*4+2] = (from)[(m)*4+2];\ + (to)[(n)*4+3] = (from)[(m)*4+3];\ + } +#define bn_32_set_0(to, n) \ + { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \ + (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; } +#endif +#endif /* BN_BITS2 != 64 */ + + +#define nist_set_192(to, from, a1, a2, a3) \ + { \ + if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\ + bn_cp_64(to, 1, from, (a2) - 3) \ + if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\ + } + +int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { + int top = a->top, i; + BN_ULONG carry = 0; + register BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_192_TOP], + buf[BN_NIST_192_TOP]; + + 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 (top == BN_NIST_192_TOP) + return BN_usub(r, a, field); + + 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, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); + +#if defined(OPENSSL_SYS_VMS) && defined(__DECC) +# pragma message save +# pragma message disable BADSUBSCRIPT +#endif + + nist_set_192(t_d, buf, 0, 3, 3); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) + ++carry; + + nist_set_192(t_d, buf, 4, 4, 0); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) + ++carry; + +#if defined(OPENSSL_SYS_VMS) && defined(__DECC) +# pragma message restore +#endif + + nist_set_192(t_d, buf, 5, 5, 5) + if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) + ++carry; + + while (carry) + { + if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP)) + --carry; + } + r->top = BN_NIST_192_TOP; + bn_correct_top(r); + if (BN_ucmp(r, field) >= 0) + { + bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP); + bn_correct_top(r); + } + + bn_check_top(r); + return 1; + } + +#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ + { \ + if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\ + if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\ + if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\ + if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\ + if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\ + if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\ + if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\ + } + +int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { +#if BN_BITS2 != 64 + int top = a->top, i; + int carry = 0; + BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_224_TOP], + buf[BN_NIST_224_TOP]; + + 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 (top == BN_NIST_224_TOP) + return BN_usub(r, a, field); + + 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; + + nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); + + nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP)) + ++carry; + nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP)) + ++carry; + nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP)) + --carry; + nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP)) + --carry; + + if (carry > 0) + while (carry) + { + if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP)) + --carry; + } + else if (carry < 0) + while (carry) + { + if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP)) + ++carry; + } + + r->top = BN_NIST_224_TOP; + bn_correct_top(r); + if (BN_ucmp(r, field) >= 0) + { + bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP); + bn_correct_top(r); + } + bn_check_top(r); + return 1; +#else + return 0; +#endif + } + +#if BN_BITS2 != 64 +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; + } +#endif + +#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ + { \ + if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\ + if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\ + if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\ + if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\ + if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\ + if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\ + if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\ + if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\ + } + +int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { +#if BN_BITS2 != 64 + int i, top = a->top; + int carry = 0; + register BN_ULONG *a_d = a->d, *r_d; + BN_ULONG t_d[BN_NIST_256_TOP], + t_d2[BN_NIST_256_TOP], + buf[BN_NIST_256_TOP]; + + if (!_is_set_256_data) + { + CRYPTO_w_lock(CRYPTO_LOCK_BN); + + if (!_is_set_256_data) + _init_256_data(); + + CRYPTO_w_unlock(CRYPTO_LOCK_BN); + } + + i = BN_ucmp(field, a); + if (i == 0) + { + BN_zero(r); + return 1; + } + else if (i > 0) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + if (top == BN_NIST_256_TOP) + return BN_usub(r, a, field); + + if (r != a) + { + if (!bn_wexpand(r, BN_NIST_256_TOP)) + 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*/ + nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0); + /*S2*/ + nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0); + if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP)) + carry = 2; + /* 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; + } + if (c) + ++carry; + } + + if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + ++carry; + /*S3*/ + nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + ++carry; + /*S4*/ + nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + ++carry; + /*D1*/ + nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + --carry; + /*D2*/ + nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + --carry; + /*D3*/ + nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + --carry; + /*D4*/ + nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) + --carry; + + if (carry) + { + 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); + } + } + + r->top = BN_NIST_256_TOP; + bn_correct_top(r); + if (BN_ucmp(r, field) >= 0) + { + bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP); + bn_correct_top(r); + } + bn_check_top(r); + return 1; +#else + return 0; +#endif + } + +#if BN_BITS2 != 64 +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; + } +#endif + +#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ + { \ + if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\ + if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\ + if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\ + if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\ + if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\ + if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\ + if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\ + if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\ + if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\ + if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\ + if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\ + if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\ + } + +int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { +#if BN_BITS2 != 64 + int i, top = a->top; + int carry = 0; + register BN_ULONG *r_d, *a_d = a->d; + BN_ULONG t_d[BN_NIST_384_TOP], + buf[BN_NIST_384_TOP]; + + if (!_is_set_384_data) + { + CRYPTO_w_lock(CRYPTO_LOCK_BN); + + if (!_is_set_384_data) + _init_384_data(); + + CRYPTO_w_unlock(CRYPTO_LOCK_BN); + } + + 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 (top == BN_NIST_384_TOP) + return BN_usub(r, a, field); + + 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, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP); + + /*S1*/ + 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 (i = BN_NIST_256_TOP; i != 0; --i) + { + t= *ap; + *(ap++)=((t<<1)|c)&BN_MASK2; + c=(t & BN_TBIT)?1:0; + } + } + if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), + t_d, BN_NIST_256_TOP)) + ++carry; + /*S2 */ + if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP)) + ++carry; + /*S3*/ + nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + ++carry; + /*S4*/ + nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + ++carry; + /*S5*/ + nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4); + if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), + t_d, BN_NIST_256_TOP)) + ++carry; + /*S6*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20); + if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + ++carry; + /*D1*/ + nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + --carry; + /*D2*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + --carry; + /*D3*/ + nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0); + if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) + --carry; + + if (carry) + { + 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); + } + } + + r->top = BN_NIST_384_TOP; + bn_correct_top(r); + if (BN_ucmp(r, field) >= 0) + { + bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP); + bn_correct_top(r); + } + bn_check_top(r); + return 1; +#else + return 0; +#endif + } + +int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, + BN_CTX *ctx) + { +#if BN_BITS2 == 64 +#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF +#elif BN_BITS2 == 32 +#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF +#elif BN_BITS2 == 16 +#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF +#elif BN_BITS2 == 8 +#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1 +#endif + int top, ret = 0; + BN_ULONG *r_d; + BIGNUM *tmp; + + /* check whether a reduction is necessary */ + top = a->top; + if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP && + (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK))))) + return (r == a)? 1 : (BN_copy(r ,a) != NULL); + + BN_CTX_start(ctx); + tmp = BN_CTX_get(ctx); + if (!tmp) + goto err; + + if (!bn_wexpand(tmp, BN_NIST_521_TOP)) + goto err; + nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP); + + tmp->top = BN_NIST_521_TOP; + tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; + bn_correct_top(tmp); + + if (!BN_rshift(r, a, 521)) + goto err; + + if (!BN_uadd(r, tmp, r)) + goto err; + 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))) + { + BN_NIST_ADD_ONE(r_d) + r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; + } + bn_correct_top(r); + + ret = 1; +err: + BN_CTX_end(ctx); + + bn_check_top(r); + return ret; + } |