diff options
Diffstat (limited to 'openssl/crypto/bn/bn_nist.c')
| -rw-r--r-- | openssl/crypto/bn/bn_nist.c | 844 |
1 files changed, 0 insertions, 844 deletions
diff --git a/openssl/crypto/bn/bn_nist.c b/openssl/crypto/bn/bn_nist.c deleted file mode 100644 index c6de0326..00000000 --- a/openssl/crypto/bn/bn_nist.c +++ /dev/null @@ -1,844 +0,0 @@ -/* 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 - -/* 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} - }; -static const BN_ULONG _nist_p_192_sqr[] = { - 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" */ - }; -static const BN_ULONG _nist_p_224_sqr[] = { - 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}, - }; -static const BN_ULONG _nist_p_256_sqr[] = { - 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}, - }; -static const BN_ULONG _nist_p_384_sqr[] = { - 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}; -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 - }; -#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} - }; -static const BN_ULONG _nist_p_192_sqr[] = { - 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} - }; -static const BN_ULONG _nist_p_224_sqr[] = { - 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}, - }; -static const BN_ULONG _nist_p_256_sqr[] = { - 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}, - }; -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}; -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 - }; -#else -#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 - }; - - -const BIGNUM *BN_get0_nist_prime_192(void) - { - return &_bignum_nist_p_192; - } - -const BIGNUM *BN_get0_nist_prime_224(void) - { - return &_bignum_nist_p_224; - } - -const BIGNUM *BN_get0_nist_prime_256(void) - { - return &_bignum_nist_p_256; - } - -const BIGNUM *BN_get0_nist_prime_384(void) - { - return &_bignum_nist_p_384; - } - -const BIGNUM *BN_get0_nist_prime_521(void) - { - return &_bignum_nist_p_521; - } - - -static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max) - { - int i; - BN_ULONG *_tmp1 = (buf), *_tmp2 = (a); - -#ifdef BN_DEBUG - OPENSSL_assert(top <= max); -#endif - 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] = (m>=0)?((from)[m]):0; -#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; -/* - * two following macros are implemented under assumption that they - * are called in a sequence with *ascending* n, i.e. as they are... - */ -#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\ - :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l))) -#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0)); -#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n) -#else -#define bn_cp_64(to, n, from, m) \ - { \ - bn_cp_32(to, (n)*2, from, (m)*2); \ - bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ - } -#define bn_64_set_0(to, n) \ - { \ - bn_32_set_0(to, (n)*2); \ - bn_32_set_0(to, (n)*2+1); \ - } -#if BN_BITS2 == 32 -#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; -#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; -#endif -#endif /* BN_BITS2 != 64 */ - - -#define nist_set_192(to, from, a1, a2, a3) \ - { \ - bn_cp_64(to, 0, from, (a3) - 3) \ - bn_cp_64(to, 1, from, (a2) - 3) \ - bn_cp_64(to, 2, from, (a1) - 3) \ - } - -int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, - BN_CTX *ctx) - { - int top = a->top, i; - int carry; - register BN_ULONG *r_d, *a_d = a->d; - BN_ULONG t_d[BN_NIST_192_TOP], - buf[BN_NIST_192_TOP], - c_d[BN_NIST_192_TOP], - *res; - 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, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP); - - nist_set_192(t_d, buf, 0, 3, 3); - carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); - nist_set_192(t_d, buf, 4, 4, 0); - carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); - nist_set_192(t_d, buf, 5, 5, 5) - carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); - - 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 = (BN_ULONG *) - (((PTR_SIZE_INT)c_d&~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) \ - } - -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; - BN_ULONG t_d[BN_NIST_224_TOP], - buf[BN_NIST_224_TOP], - 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(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP); - /* ... and right shift by 32 to obtain upper 224 bits */ - nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8); - /* truncate lower part to 224 bits too */ - r_d[BN_NIST_224_TOP-1] &= BN_MASK2l; -#else - nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP); -#endif - nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0); - carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); - nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0); - carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); - nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7); - carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); - nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11); - carry -= (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 - 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; -#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 = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~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) \ - } - -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; - BN_ULONG t_d[BN_NIST_256_TOP], - buf[BN_NIST_256_TOP], - 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, 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(c_d, buf, 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, 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, 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, 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, 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, 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, 13, 0, 11, 10, 9, 0, 15, 14); - carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); - - /* see BN_nist_mod_224 for explanation */ - u.f = bn_sub_words; - if (carry > 0) - carry = (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 = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~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) \ - } - -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; - BN_ULONG t_d[BN_NIST_384_TOP], - buf[BN_NIST_384_TOP], - 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, 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 = 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_NIST_384_TOP); - /*S3*/ - nist_set_384(t_d,buf,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,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,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,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,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,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,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); - - /* 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 = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~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++) - { - tmp = val>>BN_NIST_521_RSHIFT; - val = t_d[i+1]; - t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2; - } - 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 = (BN_ULONG *)(((PTR_SIZE_INT)t_d&~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; - } |