/* 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; }