sl@0: /* crypto/bn/bn_nist.c */ sl@0: /* sl@0: * Written by Nils Larsch for the OpenSSL project sl@0: */ sl@0: /* ==================================================================== sl@0: * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. sl@0: * sl@0: * Redistribution and use in source and binary forms, with or without sl@0: * modification, are permitted provided that the following conditions sl@0: * are met: sl@0: * sl@0: * 1. Redistributions of source code must retain the above copyright sl@0: * notice, this list of conditions and the following disclaimer. sl@0: * sl@0: * 2. Redistributions in binary form must reproduce the above copyright sl@0: * notice, this list of conditions and the following disclaimer in sl@0: * the documentation and/or other materials provided with the sl@0: * distribution. sl@0: * sl@0: * 3. All advertising materials mentioning features or use of this sl@0: * software must display the following acknowledgment: sl@0: * "This product includes software developed by the OpenSSL Project sl@0: * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" sl@0: * sl@0: * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to sl@0: * endorse or promote products derived from this software without sl@0: * prior written permission. For written permission, please contact sl@0: * openssl-core@openssl.org. sl@0: * sl@0: * 5. Products derived from this software may not be called "OpenSSL" sl@0: * nor may "OpenSSL" appear in their names without prior written sl@0: * permission of the OpenSSL Project. sl@0: * sl@0: * 6. Redistributions of any form whatsoever must retain the following sl@0: * acknowledgment: sl@0: * "This product includes software developed by the OpenSSL Project sl@0: * for use in the OpenSSL Toolkit (http://www.openssl.org/)" sl@0: * sl@0: * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY sl@0: * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE sl@0: * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR sl@0: * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR sl@0: * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, sl@0: * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT sl@0: * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; sl@0: * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) sl@0: * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, sl@0: * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) sl@0: * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED sl@0: * OF THE POSSIBILITY OF SUCH DAMAGE. sl@0: * ==================================================================== sl@0: * sl@0: * This product includes cryptographic software written by Eric Young sl@0: * (eay@cryptsoft.com). This product includes software written by Tim sl@0: * Hudson (tjh@cryptsoft.com). sl@0: * sl@0: */ sl@0: /* sl@0: © Portions copyright (c) 2006 Nokia Corporation. All rights reserved. sl@0: */ sl@0: sl@0: sl@0: sl@0: #include "bn_lcl.h" sl@0: #include "cryptlib.h" sl@0: #if (defined(SYMBIAN) && (defined(__WINSCW__) || defined(__WINS__))) sl@0: #include "libcrypto_wsd_macros.h" sl@0: #include "libcrypto_wsd.h" sl@0: #endif sl@0: sl@0: sl@0: #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2 sl@0: #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2 sl@0: #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2 sl@0: #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2 sl@0: #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2 sl@0: sl@0: sl@0: #if BN_BITS2 == 64 sl@0: static const BN_ULONG _nist_p_192[] = sl@0: {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL, sl@0: 0xFFFFFFFFFFFFFFFFULL}; sl@0: static const BN_ULONG _nist_p_224[] = sl@0: {0x0000000000000001ULL,0xFFFFFFFF00000000ULL, sl@0: 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL}; sl@0: static const BN_ULONG _nist_p_256[] = sl@0: {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL, sl@0: 0x0000000000000000ULL,0xFFFFFFFF00000001ULL}; sl@0: static const BN_ULONG _nist_p_384[] = sl@0: {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL, sl@0: 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL, sl@0: 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL}; sl@0: static const BN_ULONG _nist_p_521[] = sl@0: {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, sl@0: 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, sl@0: 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, sl@0: 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL, sl@0: 0x00000000000001FFULL}; sl@0: #elif BN_BITS2 == 32 sl@0: static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE, sl@0: 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; sl@0: static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000, sl@0: 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; sl@0: static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, sl@0: 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF}; sl@0: static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000, sl@0: 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, sl@0: 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}; sl@0: static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, sl@0: 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, sl@0: 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF, sl@0: 0xFFFFFFFF,0x000001FF}; sl@0: #elif BN_BITS2 == 16 sl@0: static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE, sl@0: 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; sl@0: static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000, sl@0: 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; sl@0: static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, sl@0: 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF, sl@0: 0xFFFF}; sl@0: static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000, sl@0: 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, sl@0: 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF}; sl@0: static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, sl@0: 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, sl@0: 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF, sl@0: 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF}; sl@0: #elif BN_BITS2 == 8 sl@0: static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF}; sl@0: static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00, sl@0: 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF}; sl@0: static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, sl@0: 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF}; sl@0: static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00, sl@0: 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF}; sl@0: static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, sl@0: 0xFF,0x01}; sl@0: #endif sl@0: sl@0: sl@0: sl@0: sl@0: EXPORT_C const BIGNUM *BN_get0_nist_prime_192(void) sl@0: { sl@0: #ifndef EMULATOR sl@0: static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192, sl@0: BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: #else sl@0: static const BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192, sl@0: BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: sl@0: #endif sl@0: return &const_nist_192; sl@0: } sl@0: sl@0: EXPORT_C const BIGNUM *BN_get0_nist_prime_224(void) sl@0: { sl@0: #ifndef EMULATOR sl@0: static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224, sl@0: BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: #else sl@0: static const BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224, sl@0: BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: sl@0: #endif sl@0: sl@0: return &const_nist_224; sl@0: } sl@0: sl@0: EXPORT_C const BIGNUM *BN_get0_nist_prime_256(void) sl@0: { sl@0: #ifndef EMULATOR sl@0: static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256, sl@0: BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: #else sl@0: static const BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256, sl@0: BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: sl@0: #endif sl@0: return &const_nist_256; sl@0: } sl@0: sl@0: EXPORT_C const BIGNUM *BN_get0_nist_prime_384(void) sl@0: { sl@0: #ifndef EMULATOR sl@0: static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384, sl@0: BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: #else sl@0: static const BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384, sl@0: BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: sl@0: #endif sl@0: return &const_nist_384; sl@0: } sl@0: sl@0: EXPORT_C const BIGNUM *BN_get0_nist_prime_521(void) sl@0: { sl@0: #ifndef EMULATOR sl@0: static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521, sl@0: BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: #else sl@0: static const BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521, sl@0: BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA }; sl@0: sl@0: #endif sl@0: return &const_nist_521; sl@0: } sl@0: sl@0: /* some misc internal functions */ sl@0: #if BN_BITS2 != 64 sl@0: #ifndef EMULATOR sl@0: static BN_ULONG _256_data[BN_NIST_256_TOP*6]; sl@0: static int _is_set_256_data = 0; sl@0: static void _init_256_data(void); sl@0: sl@0: static BN_ULONG _384_data[BN_NIST_384_TOP*8]; sl@0: static int _is_set_384_data = 0; sl@0: static void _init_384_data(void); sl@0: #else sl@0: GET_STATIC_ARRAY_FROM_TLS(_256_data,bn_nist,BN_ULONG) sl@0: #define _256_data (GET_WSD_VAR_NAME(_256_data,bn_nist, s)()) sl@0: GET_STATIC_VAR_FROM_TLS(_is_set_256_data,bn_nist,int) sl@0: #define _is_set_256_data (*GET_WSD_VAR_NAME(_is_set_256_data,bn_nist, s)()) sl@0: sl@0: GET_STATIC_ARRAY_FROM_TLS(_384_data,bn_nist,BN_ULONG) sl@0: #define _384_data (GET_WSD_VAR_NAME(_384_data,bn_nist, s)()) sl@0: GET_STATIC_VAR_FROM_TLS(_is_set_384_data,bn_nist,int) sl@0: #define _is_set_384_data (*GET_WSD_VAR_NAME(_is_set_384_data,bn_nist, s)()) sl@0: #endif sl@0: #endif sl@0: sl@0: #define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a); sl@0: sl@0: static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max) sl@0: { sl@0: int i; sl@0: BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); sl@0: for (i = (top); i != 0; i--) sl@0: *_tmp1++ = *_tmp2++; sl@0: for (i = (max) - (top); i != 0; i--) sl@0: *_tmp1++ = (BN_ULONG) 0; sl@0: } sl@0: sl@0: static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top) sl@0: { sl@0: int i; sl@0: BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); sl@0: for (i = (top); i != 0; i--) sl@0: *_tmp1++ = *_tmp2++; sl@0: } sl@0: sl@0: #if BN_BITS2 == 64 sl@0: #define bn_cp_64(to, n, from, m) (to)[n] = (from)[m]; sl@0: #define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; sl@0: /* TBD */ sl@0: #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m]; sl@0: #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; sl@0: #else sl@0: #define bn_cp_64(to, n, from, m) \ sl@0: { \ sl@0: bn_cp_32(to, (n)*2, from, (m)*2); \ sl@0: bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ sl@0: } sl@0: #define bn_64_set_0(to, n) \ sl@0: { \ sl@0: bn_32_set_0(to, (n)*2); \ sl@0: bn_32_set_0(to, (n)*2+1); \ sl@0: } sl@0: #if BN_BITS2 == 32 sl@0: #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m]; sl@0: #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; sl@0: #elif BN_BITS2 == 16 sl@0: #define bn_cp_32(to, n, from, m) \ sl@0: { \ sl@0: (to)[(n)*2] = (from)[(m)*2]; \ sl@0: (to)[(n)*2+1] = (from)[(m)*2+1];\ sl@0: } sl@0: #define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; } sl@0: #elif BN_BITS2 == 8 sl@0: #define bn_cp_32(to, n, from, m) \ sl@0: { \ sl@0: (to)[(n)*4] = (from)[(m)*4]; \ sl@0: (to)[(n)*4+1] = (from)[(m)*4+1];\ sl@0: (to)[(n)*4+2] = (from)[(m)*4+2];\ sl@0: (to)[(n)*4+3] = (from)[(m)*4+3];\ sl@0: } sl@0: #define bn_32_set_0(to, n) \ sl@0: { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \ sl@0: (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; } sl@0: #endif sl@0: #endif /* BN_BITS2 != 64 */ sl@0: sl@0: sl@0: #define nist_set_192(to, from, a1, a2, a3) \ sl@0: { \ sl@0: if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\ sl@0: bn_cp_64(to, 1, from, (a2) - 3) \ sl@0: if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\ sl@0: } sl@0: sl@0: EXPORT_C int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, sl@0: BN_CTX *ctx) sl@0: { sl@0: int top = a->top, i; sl@0: BN_ULONG carry = 0; sl@0: register BN_ULONG *r_d, *a_d = a->d; sl@0: BN_ULONG t_d[BN_NIST_192_TOP], sl@0: buf[BN_NIST_192_TOP]; sl@0: sl@0: i = BN_ucmp(field, a); sl@0: if (i == 0) sl@0: { sl@0: BN_zero(r); sl@0: return 1; sl@0: } sl@0: else if (i > 0) sl@0: return (r == a) ? 1 : (BN_copy(r ,a) != NULL); sl@0: sl@0: if (top == BN_NIST_192_TOP) sl@0: return BN_usub(r, a, field); sl@0: sl@0: if (r != a) sl@0: { sl@0: if (!bn_wexpand(r, BN_NIST_192_TOP)) sl@0: return 0; sl@0: r_d = r->d; sl@0: nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); sl@0: } sl@0: else sl@0: r_d = a_d; sl@0: sl@0: nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); sl@0: sl@0: #if defined(OPENSSL_SYS_VMS) && defined(__DECC) sl@0: # pragma message save sl@0: # pragma message disable BADSUBSCRIPT sl@0: #endif sl@0: sl@0: nist_set_192(t_d, buf, 0, 3, 3); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) sl@0: ++carry; sl@0: sl@0: nist_set_192(t_d, buf, 4, 4, 0); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) sl@0: ++carry; sl@0: sl@0: #if defined(OPENSSL_SYS_VMS) && defined(__DECC) sl@0: # pragma message restore sl@0: #endif sl@0: sl@0: nist_set_192(t_d, buf, 5, 5, 5) sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP)) sl@0: ++carry; sl@0: sl@0: while (carry) sl@0: { sl@0: if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP)) sl@0: --carry; sl@0: } sl@0: r->top = BN_NIST_192_TOP; sl@0: bn_correct_top(r); sl@0: if (BN_ucmp(r, field) >= 0) sl@0: { sl@0: bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP); sl@0: bn_correct_top(r); sl@0: } sl@0: sl@0: bn_check_top(r); sl@0: return 1; sl@0: } sl@0: sl@0: #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \ sl@0: { \ sl@0: if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\ sl@0: if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\ sl@0: if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\ sl@0: if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\ sl@0: if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\ sl@0: if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\ sl@0: if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\ sl@0: } sl@0: sl@0: EXPORT_C int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, sl@0: BN_CTX *ctx) sl@0: { sl@0: #if BN_BITS2 != 64 sl@0: int top = a->top, i; sl@0: int carry = 0; sl@0: BN_ULONG *r_d, *a_d = a->d; sl@0: BN_ULONG t_d[BN_NIST_224_TOP], sl@0: buf[BN_NIST_224_TOP]; sl@0: sl@0: i = BN_ucmp(field, a); sl@0: if (i == 0) sl@0: { sl@0: BN_zero(r); sl@0: return 1; sl@0: } sl@0: else if (i > 0) sl@0: return (r == a)? 1 : (BN_copy(r ,a) != NULL); sl@0: sl@0: if (top == BN_NIST_224_TOP) sl@0: return BN_usub(r, a, field); sl@0: sl@0: if (r != a) sl@0: { sl@0: if (!bn_wexpand(r, BN_NIST_224_TOP)) sl@0: return 0; sl@0: r_d = r->d; sl@0: nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); sl@0: } sl@0: else sl@0: r_d = a_d; sl@0: sl@0: nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); sl@0: sl@0: nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP)) sl@0: ++carry; sl@0: nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP)) sl@0: ++carry; sl@0: nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP)) sl@0: --carry; sl@0: nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP)) sl@0: --carry; sl@0: sl@0: if (carry > 0) sl@0: while (carry) sl@0: { sl@0: if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP)) sl@0: --carry; sl@0: } sl@0: else if (carry < 0) sl@0: while (carry) sl@0: { sl@0: if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP)) sl@0: ++carry; sl@0: } sl@0: sl@0: r->top = BN_NIST_224_TOP; sl@0: bn_correct_top(r); sl@0: if (BN_ucmp(r, field) >= 0) sl@0: { sl@0: bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP); sl@0: bn_correct_top(r); sl@0: } sl@0: bn_check_top(r); sl@0: return 1; sl@0: #else sl@0: return 0; sl@0: #endif sl@0: } sl@0: sl@0: #if BN_BITS2 != 64 sl@0: static void _init_256_data(void) sl@0: { sl@0: int i; sl@0: BN_ULONG *tmp1 = _256_data; sl@0: const BN_ULONG *tmp2 = tmp1; sl@0: sl@0: memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG)); sl@0: tmp1 += BN_NIST_256_TOP; sl@0: sl@0: for (i=0; i<5; i++) sl@0: { sl@0: bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP); sl@0: tmp2 = tmp1; sl@0: tmp1 += BN_NIST_256_TOP; sl@0: } sl@0: _is_set_256_data = 1; sl@0: } sl@0: #endif sl@0: sl@0: #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ sl@0: { \ sl@0: if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\ sl@0: if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\ sl@0: if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\ sl@0: if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\ sl@0: if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\ sl@0: if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\ sl@0: if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\ sl@0: if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\ sl@0: } sl@0: sl@0: EXPORT_C int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, sl@0: BN_CTX *ctx) sl@0: { sl@0: #if BN_BITS2 != 64 sl@0: int i, top = a->top; sl@0: int carry = 0; sl@0: register BN_ULONG *a_d = a->d, *r_d; sl@0: BN_ULONG t_d[BN_NIST_256_TOP], sl@0: t_d2[BN_NIST_256_TOP], sl@0: buf[BN_NIST_256_TOP]; sl@0: sl@0: if (!_is_set_256_data) sl@0: { sl@0: CRYPTO_w_lock(CRYPTO_LOCK_BN); sl@0: sl@0: if (!_is_set_256_data) sl@0: _init_256_data(); sl@0: sl@0: CRYPTO_w_unlock(CRYPTO_LOCK_BN); sl@0: } sl@0: sl@0: i = BN_ucmp(field, a); sl@0: if (i == 0) sl@0: { sl@0: BN_zero(r); sl@0: return 1; sl@0: } sl@0: else if (i > 0) sl@0: return (r == a)? 1 : (BN_copy(r ,a) != NULL); sl@0: sl@0: if (top == BN_NIST_256_TOP) sl@0: return BN_usub(r, a, field); sl@0: sl@0: if (r != a) sl@0: { sl@0: if (!bn_wexpand(r, BN_NIST_256_TOP)) sl@0: return 0; sl@0: r_d = r->d; sl@0: nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); sl@0: } sl@0: else sl@0: r_d = a_d; sl@0: sl@0: nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP); sl@0: sl@0: /*S1*/ sl@0: nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0); sl@0: /*S2*/ sl@0: nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0); sl@0: if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP)) sl@0: carry = 2; sl@0: /* left shift */ sl@0: { sl@0: register BN_ULONG *ap,t,c; sl@0: ap = t_d; sl@0: c=0; sl@0: for (i = BN_NIST_256_TOP; i != 0; --i) sl@0: { sl@0: t= *ap; sl@0: *(ap++)=((t<<1)|c)&BN_MASK2; sl@0: c=(t & BN_TBIT)?1:0; sl@0: } sl@0: if (c) sl@0: ++carry; sl@0: } sl@0: sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: ++carry; sl@0: /*S3*/ sl@0: nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: ++carry; sl@0: /*S4*/ sl@0: nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: ++carry; sl@0: /*D1*/ sl@0: nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: --carry; sl@0: /*D2*/ sl@0: nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: --carry; sl@0: /*D3*/ sl@0: nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: --carry; sl@0: /*D4*/ sl@0: nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP)) sl@0: --carry; sl@0: sl@0: if (carry) sl@0: { sl@0: if (carry > 0) sl@0: bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP * sl@0: --carry, BN_NIST_256_TOP); sl@0: else sl@0: { sl@0: carry = -carry; sl@0: bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP * sl@0: --carry, BN_NIST_256_TOP); sl@0: } sl@0: } sl@0: sl@0: r->top = BN_NIST_256_TOP; sl@0: bn_correct_top(r); sl@0: if (BN_ucmp(r, field) >= 0) sl@0: { sl@0: bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP); sl@0: bn_correct_top(r); sl@0: } sl@0: bn_check_top(r); sl@0: return 1; sl@0: #else sl@0: return 0; sl@0: #endif sl@0: } sl@0: sl@0: #if BN_BITS2 != 64 sl@0: static void _init_384_data(void) sl@0: { sl@0: int i; sl@0: BN_ULONG *tmp1 = _384_data; sl@0: const BN_ULONG *tmp2 = tmp1; sl@0: sl@0: memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG)); sl@0: tmp1 += BN_NIST_384_TOP; sl@0: sl@0: for (i=0; i<7; i++) sl@0: { sl@0: bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP); sl@0: tmp2 = tmp1; sl@0: tmp1 += BN_NIST_384_TOP; sl@0: } sl@0: _is_set_384_data = 1; sl@0: } sl@0: #endif sl@0: sl@0: #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \ sl@0: { \ sl@0: if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\ sl@0: if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\ sl@0: if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\ sl@0: if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\ sl@0: if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\ sl@0: if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\ sl@0: if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\ sl@0: if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\ sl@0: if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\ sl@0: if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\ sl@0: if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\ sl@0: if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\ sl@0: } sl@0: sl@0: EXPORT_C int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, sl@0: BN_CTX *ctx) sl@0: { sl@0: #if BN_BITS2 != 64 sl@0: int i, top = a->top; sl@0: int carry = 0; sl@0: register BN_ULONG *r_d, *a_d = a->d; sl@0: BN_ULONG t_d[BN_NIST_384_TOP], sl@0: buf[BN_NIST_384_TOP]; sl@0: sl@0: if (!_is_set_384_data) sl@0: { sl@0: CRYPTO_w_lock(CRYPTO_LOCK_BN); sl@0: sl@0: if (!_is_set_384_data) sl@0: _init_384_data(); sl@0: sl@0: CRYPTO_w_unlock(CRYPTO_LOCK_BN); sl@0: } sl@0: sl@0: i = BN_ucmp(field, a); sl@0: if (i == 0) sl@0: { sl@0: BN_zero(r); sl@0: return 1; sl@0: } sl@0: else if (i > 0) sl@0: return (r == a)? 1 : (BN_copy(r ,a) != NULL); sl@0: sl@0: if (top == BN_NIST_384_TOP) sl@0: return BN_usub(r, a, field); sl@0: sl@0: if (r != a) sl@0: { sl@0: if (!bn_wexpand(r, BN_NIST_384_TOP)) sl@0: return 0; sl@0: r_d = r->d; sl@0: nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); sl@0: } sl@0: else sl@0: r_d = a_d; sl@0: sl@0: nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP); sl@0: sl@0: /*S1*/ sl@0: nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4); sl@0: /* left shift */ sl@0: { sl@0: register BN_ULONG *ap,t,c; sl@0: ap = t_d; sl@0: c=0; sl@0: for (i = BN_NIST_256_TOP; i != 0; --i) sl@0: { sl@0: t= *ap; sl@0: *(ap++)=((t<<1)|c)&BN_MASK2; sl@0: c=(t & BN_TBIT)?1:0; sl@0: } sl@0: } sl@0: if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), sl@0: t_d, BN_NIST_256_TOP)) sl@0: ++carry; sl@0: /*S2 */ sl@0: if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP)) sl@0: ++carry; sl@0: /*S3*/ sl@0: nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: ++carry; sl@0: /*S4*/ sl@0: nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: ++carry; sl@0: /*S5*/ sl@0: nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4); sl@0: if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2), sl@0: t_d, BN_NIST_256_TOP)) sl@0: ++carry; sl@0: /*S6*/ sl@0: nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20); sl@0: if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: ++carry; sl@0: /*D1*/ sl@0: nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: --carry; sl@0: /*D2*/ sl@0: nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: --carry; sl@0: /*D3*/ sl@0: nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0); sl@0: if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP)) sl@0: --carry; sl@0: sl@0: if (carry) sl@0: { sl@0: if (carry > 0) sl@0: bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP * sl@0: --carry, BN_NIST_384_TOP); sl@0: else sl@0: { sl@0: carry = -carry; sl@0: bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP * sl@0: --carry, BN_NIST_384_TOP); sl@0: } sl@0: } sl@0: sl@0: r->top = BN_NIST_384_TOP; sl@0: bn_correct_top(r); sl@0: if (BN_ucmp(r, field) >= 0) sl@0: { sl@0: bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP); sl@0: bn_correct_top(r); sl@0: } sl@0: bn_check_top(r); sl@0: return 1; sl@0: #else sl@0: return 0; sl@0: #endif sl@0: } sl@0: sl@0: EXPORT_C int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, sl@0: BN_CTX *ctx) sl@0: { sl@0: #if BN_BITS2 == 64 sl@0: #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF sl@0: #elif BN_BITS2 == 32 sl@0: #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF sl@0: #elif BN_BITS2 == 16 sl@0: #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF sl@0: #elif BN_BITS2 == 8 sl@0: #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1 sl@0: #endif sl@0: int top, ret = 0; sl@0: BN_ULONG *r_d; sl@0: BIGNUM *tmp; sl@0: sl@0: /* check whether a reduction is necessary */ sl@0: top = a->top; sl@0: if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP && sl@0: (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK))))) sl@0: return (r == a)? 1 : (BN_copy(r ,a) != NULL); sl@0: sl@0: BN_CTX_start(ctx); sl@0: tmp = BN_CTX_get(ctx); sl@0: if (!tmp) sl@0: goto err; sl@0: sl@0: if (!bn_wexpand(tmp, BN_NIST_521_TOP)) sl@0: goto err; sl@0: nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP); sl@0: sl@0: tmp->top = BN_NIST_521_TOP; sl@0: tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; sl@0: bn_correct_top(tmp); sl@0: sl@0: if (!BN_rshift(r, a, 521)) sl@0: goto err; sl@0: sl@0: if (!BN_uadd(r, tmp, r)) sl@0: goto err; sl@0: top = r->top; sl@0: r_d = r->d; sl@0: if (top == BN_NIST_521_TOP && sl@0: (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK))) sl@0: { sl@0: BN_NIST_ADD_ONE(r_d) sl@0: r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK; sl@0: } sl@0: bn_correct_top(r); sl@0: sl@0: ret = 1; sl@0: err: sl@0: BN_CTX_end(ctx); sl@0: sl@0: bn_check_top(r); sl@0: return ret; sl@0: }