| /* 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 *dst, const BN_ULONG *src, int top, int max) |
| { |
| int i; |
| |
| #ifdef BN_DEBUG |
| OPENSSL_assert(top <= max); |
| #endif |
| for (i = 0; i < top; i++) |
| dst[i] = src[i]; |
| for (; i < max; i++) |
| dst[i] = 0; |
| } |
| |
| static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top) |
| { |
| int i; |
| |
| for (i = 0; i < top; i++) |
| dst[i] = src[i]; |
| } |
| |
| #if BN_BITS2 == 64 |
| # define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; |
| # define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0; |
| /* |
| * 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) |
| # if defined(L_ENDIAN) |
| # if defined(__arch64__) |
| # define NIST_INT64 long |
| # else |
| # define NIST_INT64 long long |
| # endif |
| # endif |
| #else |
| # define bn_cp_64(to, n, from, m) \ |
| { \ |
| bn_cp_32(to, (n)*2, from, (m)*2); \ |
| bn_cp_32(to, (n)*2+1, from, (m)*2+1); \ |
| } |
| # define bn_64_set_0(to, n) \ |
| { \ |
| bn_32_set_0(to, (n)*2); \ |
| bn_32_set_0(to, (n)*2+1); \ |
| } |
| # define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0; |
| # define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0; |
| # if defined(_WIN32) && !defined(__GNUC__) |
| # define NIST_INT64 __int64 |
| # elif defined(BN_LLONG) |
| # define NIST_INT64 long long |
| # 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; |
| union { |
| BN_ULONG bn[BN_NIST_192_TOP]; |
| unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) / |
| sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_192_TOP], *res; |
| PTR_SIZE_INT mask; |
| static const BIGNUM _bignum_nist_p_192_sqr = { |
| (BN_ULONG *)_nist_p_192_sqr, |
| sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), |
| sizeof(_nist_p_192_sqr) / sizeof(_nist_p_192_sqr[0]), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &_bignum_nist_p_192; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_192_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_192_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_192_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, |
| BN_NIST_192_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = rp[0]; |
| acc += bp[3 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| rp[0] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[1]; |
| acc += bp[3 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| rp[1] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[2]; |
| acc += bp[3 * 2 - 6]; |
| acc += bp[4 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| rp[2] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[3]; |
| acc += bp[3 * 2 - 5]; |
| acc += bp[4 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| rp[3] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[4]; |
| acc += bp[4 * 2 - 6]; |
| acc += bp[5 * 2 - 6]; |
| rp[4] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[5]; |
| acc += bp[4 * 2 - 5]; |
| acc += bp[5 * 2 - 5]; |
| rp[5] = (unsigned int)acc; |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_192_TOP]; |
| |
| nist_set_192(t_d, buf.bn, 0, 3, 3); |
| carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| nist_set_192(t_d, buf.bn, 4, 4, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| nist_set_192(t_d, buf.bn, 5, 5, 5) |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP); |
| } |
| #endif |
| if (carry > 0) |
| carry = |
| (int)bn_sub_words(r_d, r_d, _nist_p_192[carry - 1], |
| BN_NIST_192_TOP); |
| else |
| carry = 1; |
| |
| /* |
| * we need 'if (carry==0 || result>=modulus) result-=modulus;' |
| * as comparison implies subtraction, we can write |
| * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;' |
| * this is what happens below, but without explicit if:-) a. |
| */ |
| mask = |
| 0 - (PTR_SIZE_INT) bn_sub_words(c_d, r_d, _nist_p_192[0], |
| BN_NIST_192_TOP); |
| mask &= 0 - (PTR_SIZE_INT) carry; |
| res = c_d; |
| res = (BN_ULONG *) |
| (((PTR_SIZE_INT) res & ~mask) | ((PTR_SIZE_INT) r_d & mask)); |
| nist_cp_bn(r_d, res, BN_NIST_192_TOP); |
| r->top = BN_NIST_192_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| typedef BN_ULONG (*bn_addsub_f) (BN_ULONG *, const BN_ULONG *, |
| const BN_ULONG *, int); |
| |
| #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; |
| union { |
| BN_ULONG bn[BN_NIST_224_TOP]; |
| unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) / |
| sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_224_TOP], *res; |
| PTR_SIZE_INT mask; |
| union { |
| bn_addsub_f f; |
| PTR_SIZE_INT p; |
| } u; |
| static const BIGNUM _bignum_nist_p_224_sqr = { |
| (BN_ULONG *)_nist_p_224_sqr, |
| sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), |
| sizeof(_nist_p_224_sqr) / sizeof(_nist_p_224_sqr[0]), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &_bignum_nist_p_224; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_224_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_224_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_224_TOP); |
| } else |
| r_d = a_d; |
| |
| #if BN_BITS2==64 |
| /* copy upper 256 bits of 448 bit number ... */ |
| nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP - 1), |
| top - (BN_NIST_224_TOP - 1), BN_NIST_224_TOP); |
| /* ... and right shift by 32 to obtain upper 224 bits */ |
| nist_set_224(buf.bn, c_d, 14, 13, 12, 11, 10, 9, 8); |
| /* truncate lower part to 224 bits too */ |
| r_d[BN_NIST_224_TOP - 1] &= BN_MASK2l; |
| #else |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, |
| BN_NIST_224_TOP); |
| #endif |
| |
| #if defined(NIST_INT64) && BN_BITS2!=64 |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = rp[0]; |
| acc -= bp[7 - 7]; |
| acc -= bp[11 - 7]; |
| rp[0] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[1]; |
| acc -= bp[8 - 7]; |
| acc -= bp[12 - 7]; |
| rp[1] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[2]; |
| acc -= bp[9 - 7]; |
| acc -= bp[13 - 7]; |
| rp[2] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[3]; |
| acc += bp[7 - 7]; |
| acc += bp[11 - 7]; |
| acc -= bp[10 - 7]; |
| rp[3] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[4]; |
| acc += bp[8 - 7]; |
| acc += bp[12 - 7]; |
| acc -= bp[11 - 7]; |
| rp[4] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[5]; |
| acc += bp[9 - 7]; |
| acc += bp[13 - 7]; |
| acc -= bp[12 - 7]; |
| rp[5] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[6]; |
| acc += bp[10 - 7]; |
| acc -= bp[13 - 7]; |
| rp[6] = (unsigned int)acc; |
| |
| carry = (int)(acc >> 32); |
| # if BN_BITS2==64 |
| rp[7] = carry; |
| # endif |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_224_TOP]; |
| |
| nist_set_224(t_d, buf.bn, 10, 9, 8, 7, 0, 0, 0); |
| carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 0, 13, 12, 11, 0, 0, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 13, 12, 11, 10, 9, 8, 7); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| nist_set_224(t_d, buf.bn, 0, 0, 0, 0, 13, 12, 11); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP); |
| |
| # if BN_BITS2==64 |
| carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32); |
| # endif |
| } |
| #endif |
| u.f = bn_sub_words; |
| if (carry > 0) { |
| carry = |
| (int)bn_sub_words(r_d, r_d, _nist_p_224[carry - 1], |
| BN_NIST_224_TOP); |
| #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 = c_d; |
| res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | |
| ((PTR_SIZE_INT) r_d & mask)); |
| nist_cp_bn(r_d, res, BN_NIST_224_TOP); |
| r->top = BN_NIST_224_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \ |
| { \ |
| bn_cp_32(to, 0, from, (a8) - 8) \ |
| bn_cp_32(to, 1, from, (a7) - 8) \ |
| bn_cp_32(to, 2, from, (a6) - 8) \ |
| bn_cp_32(to, 3, from, (a5) - 8) \ |
| bn_cp_32(to, 4, from, (a4) - 8) \ |
| bn_cp_32(to, 5, from, (a3) - 8) \ |
| bn_cp_32(to, 6, from, (a2) - 8) \ |
| bn_cp_32(to, 7, from, (a1) - 8) \ |
| } |
| |
| int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int i, top = a->top; |
| int carry = 0; |
| register BN_ULONG *a_d = a->d, *r_d; |
| union { |
| BN_ULONG bn[BN_NIST_256_TOP]; |
| unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) / |
| sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_256_TOP], *res; |
| PTR_SIZE_INT mask; |
| union { |
| bn_addsub_f f; |
| PTR_SIZE_INT p; |
| } u; |
| static const BIGNUM _bignum_nist_p_256_sqr = { |
| (BN_ULONG *)_nist_p_256_sqr, |
| sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), |
| sizeof(_nist_p_256_sqr) / sizeof(_nist_p_256_sqr[0]), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &_bignum_nist_p_256; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_256_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_256_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_256_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, |
| BN_NIST_256_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = rp[0]; |
| acc += bp[8 - 8]; |
| acc += bp[9 - 8]; |
| acc -= bp[11 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| rp[0] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[1]; |
| acc += bp[9 - 8]; |
| acc += bp[10 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| acc -= bp[15 - 8]; |
| rp[1] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[2]; |
| acc += bp[10 - 8]; |
| acc += bp[11 - 8]; |
| acc -= bp[13 - 8]; |
| acc -= bp[14 - 8]; |
| acc -= bp[15 - 8]; |
| rp[2] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[3]; |
| acc += bp[11 - 8]; |
| acc += bp[11 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[13 - 8]; |
| acc -= bp[15 - 8]; |
| acc -= bp[8 - 8]; |
| acc -= bp[9 - 8]; |
| rp[3] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[4]; |
| acc += bp[12 - 8]; |
| acc += bp[12 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[14 - 8]; |
| acc -= bp[9 - 8]; |
| acc -= bp[10 - 8]; |
| rp[4] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[5]; |
| acc += bp[13 - 8]; |
| acc += bp[13 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[15 - 8]; |
| acc -= bp[10 - 8]; |
| acc -= bp[11 - 8]; |
| rp[5] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[6]; |
| acc += bp[14 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[14 - 8]; |
| acc += bp[13 - 8]; |
| acc -= bp[8 - 8]; |
| acc -= bp[9 - 8]; |
| rp[6] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[7]; |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[15 - 8]; |
| acc += bp[8 - 8]; |
| acc -= bp[10 - 8]; |
| acc -= bp[11 - 8]; |
| acc -= bp[12 - 8]; |
| acc -= bp[13 - 8]; |
| rp[7] = (unsigned int)acc; |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_256_TOP]; |
| |
| /* |
| * S1 |
| */ |
| nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0); |
| /* |
| * S2 |
| */ |
| nist_set_256(c_d, buf.bn, 0, 15, 14, 13, 12, 0, 0, 0); |
| carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP); |
| /* left shift */ |
| { |
| register BN_ULONG *ap, t, c; |
| ap = t_d; |
| c = 0; |
| for (i = BN_NIST_256_TOP; i != 0; --i) { |
| t = *ap; |
| *(ap++) = ((t << 1) | c) & BN_MASK2; |
| c = (t & BN_TBIT) ? 1 : 0; |
| } |
| carry <<= 1; |
| carry |= c; |
| } |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * S3 |
| */ |
| nist_set_256(t_d, buf.bn, 15, 14, 0, 0, 0, 10, 9, 8); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * S4 |
| */ |
| nist_set_256(t_d, buf.bn, 8, 13, 15, 14, 13, 11, 10, 9); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D1 |
| */ |
| nist_set_256(t_d, buf.bn, 10, 8, 0, 0, 0, 13, 12, 11); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D2 |
| */ |
| nist_set_256(t_d, buf.bn, 11, 9, 0, 0, 15, 14, 13, 12); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D3 |
| */ |
| nist_set_256(t_d, buf.bn, 12, 0, 10, 9, 8, 15, 14, 13); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| /* |
| * D4 |
| */ |
| nist_set_256(t_d, buf.bn, 13, 0, 11, 10, 9, 0, 15, 14); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP); |
| |
| } |
| #endif |
| /* see BN_nist_mod_224 for explanation */ |
| u.f = bn_sub_words; |
| if (carry > 0) |
| carry = |
| (int)bn_sub_words(r_d, r_d, _nist_p_256[carry - 1], |
| BN_NIST_256_TOP); |
| else if (carry < 0) { |
| carry = |
| (int)bn_add_words(r_d, r_d, _nist_p_256[-carry - 1], |
| BN_NIST_256_TOP); |
| mask = 0 - (PTR_SIZE_INT) carry; |
| u.p = ((PTR_SIZE_INT) bn_sub_words & mask) | |
| ((PTR_SIZE_INT) bn_add_words & ~mask); |
| } else |
| carry = 1; |
| |
| mask = |
| 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP); |
| mask &= 0 - (PTR_SIZE_INT) carry; |
| res = c_d; |
| res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | |
| ((PTR_SIZE_INT) r_d & mask)); |
| nist_cp_bn(r_d, res, BN_NIST_256_TOP); |
| r->top = BN_NIST_256_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #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; |
| union { |
| BN_ULONG bn[BN_NIST_384_TOP]; |
| unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) / |
| sizeof(unsigned int)]; |
| } buf; |
| BN_ULONG c_d[BN_NIST_384_TOP], *res; |
| PTR_SIZE_INT mask; |
| union { |
| bn_addsub_f f; |
| PTR_SIZE_INT p; |
| } u; |
| static const BIGNUM _bignum_nist_p_384_sqr = { |
| (BN_ULONG *)_nist_p_384_sqr, |
| sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), |
| sizeof(_nist_p_384_sqr) / sizeof(_nist_p_384_sqr[0]), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &_bignum_nist_p_384; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_384_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_384_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_384_TOP); |
| } else |
| r_d = a_d; |
| |
| nist_cp_bn_0(buf.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, |
| BN_NIST_384_TOP); |
| |
| #if defined(NIST_INT64) |
| { |
| NIST_INT64 acc; /* accumulator */ |
| unsigned int *rp = (unsigned int *)r_d; |
| const unsigned int *bp = (const unsigned int *)buf.ui; |
| |
| acc = rp[0]; |
| acc += bp[12 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[20 - 12]; |
| acc -= bp[23 - 12]; |
| rp[0] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[1]; |
| acc += bp[13 - 12]; |
| acc += bp[22 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[12 - 12]; |
| acc -= bp[20 - 12]; |
| rp[1] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[2]; |
| acc += bp[14 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[13 - 12]; |
| acc -= bp[21 - 12]; |
| rp[2] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[3]; |
| acc += bp[15 - 12]; |
| acc += bp[12 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[21 - 12]; |
| acc -= bp[14 - 12]; |
| acc -= bp[22 - 12]; |
| acc -= bp[23 - 12]; |
| rp[3] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[4]; |
| acc += bp[21 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[16 - 12]; |
| acc += bp[13 - 12]; |
| acc += bp[12 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[22 - 12]; |
| acc -= bp[15 - 12]; |
| acc -= bp[23 - 12]; |
| acc -= bp[23 - 12]; |
| rp[4] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[5]; |
| acc += bp[22 - 12]; |
| acc += bp[22 - 12]; |
| acc += bp[17 - 12]; |
| acc += bp[14 - 12]; |
| acc += bp[13 - 12]; |
| acc += bp[21 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[16 - 12]; |
| rp[5] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[6]; |
| acc += bp[23 - 12]; |
| acc += bp[23 - 12]; |
| acc += bp[18 - 12]; |
| acc += bp[15 - 12]; |
| acc += bp[14 - 12]; |
| acc += bp[22 - 12]; |
| acc -= bp[17 - 12]; |
| rp[6] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[7]; |
| acc += bp[19 - 12]; |
| acc += bp[16 - 12]; |
| acc += bp[15 - 12]; |
| acc += bp[23 - 12]; |
| acc -= bp[18 - 12]; |
| rp[7] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[8]; |
| acc += bp[20 - 12]; |
| acc += bp[17 - 12]; |
| acc += bp[16 - 12]; |
| acc -= bp[19 - 12]; |
| rp[8] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[9]; |
| acc += bp[21 - 12]; |
| acc += bp[18 - 12]; |
| acc += bp[17 - 12]; |
| acc -= bp[20 - 12]; |
| rp[9] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[10]; |
| acc += bp[22 - 12]; |
| acc += bp[19 - 12]; |
| acc += bp[18 - 12]; |
| acc -= bp[21 - 12]; |
| rp[10] = (unsigned int)acc; |
| acc >>= 32; |
| |
| acc += rp[11]; |
| acc += bp[23 - 12]; |
| acc += bp[20 - 12]; |
| acc += bp[19 - 12]; |
| acc -= bp[22 - 12]; |
| rp[11] = (unsigned int)acc; |
| |
| carry = (int)(acc >> 32); |
| } |
| #else |
| { |
| BN_ULONG t_d[BN_NIST_384_TOP]; |
| |
| /* |
| * S1 |
| */ |
| nist_set_256(t_d, buf.bn, 0, 0, 0, 0, 0, 23 - 4, 22 - 4, 21 - 4); |
| /* left shift */ |
| { |
| register BN_ULONG *ap, t, c; |
| ap = t_d; |
| c = 0; |
| for (i = 3; i != 0; --i) { |
| t = *ap; |
| *(ap++) = ((t << 1) | c) & BN_MASK2; |
| c = (t & BN_TBIT) ? 1 : 0; |
| } |
| *ap = c; |
| } |
| carry = |
| (int)bn_add_words(r_d + (128 / BN_BITS2), r_d + (128 / BN_BITS2), |
| t_d, BN_NIST_256_TOP); |
| /* |
| * S2 |
| */ |
| carry += (int)bn_add_words(r_d, r_d, buf.bn, BN_NIST_384_TOP); |
| /* |
| * S3 |
| */ |
| nist_set_384(t_d, buf.bn, 20, 19, 18, 17, 16, 15, 14, 13, 12, 23, 22, |
| 21); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S4 |
| */ |
| nist_set_384(t_d, buf.bn, 19, 18, 17, 16, 15, 14, 13, 12, 20, 0, 23, |
| 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S5 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 23, 22, 21, 20, 0, 0, 0, 0); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * S6 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 23, 22, 21, 0, 0, 20); |
| carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D1 |
| */ |
| nist_set_384(t_d, buf.bn, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, |
| 23); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D2 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 22, 21, 20, 0); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| /* |
| * D3 |
| */ |
| nist_set_384(t_d, buf.bn, 0, 0, 0, 0, 0, 0, 0, 23, 23, 0, 0, 0); |
| carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP); |
| |
| } |
| #endif |
| /* see BN_nist_mod_224 for explanation */ |
| u.f = bn_sub_words; |
| if (carry > 0) |
| carry = |
| (int)bn_sub_words(r_d, r_d, _nist_p_384[carry - 1], |
| BN_NIST_384_TOP); |
| else if (carry < 0) { |
| carry = |
| (int)bn_add_words(r_d, r_d, _nist_p_384[-carry - 1], |
| BN_NIST_384_TOP); |
| mask = 0 - (PTR_SIZE_INT) carry; |
| u.p = ((PTR_SIZE_INT) bn_sub_words & mask) | |
| ((PTR_SIZE_INT) bn_add_words & ~mask); |
| } else |
| carry = 1; |
| |
| mask = |
| 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP); |
| mask &= 0 - (PTR_SIZE_INT) carry; |
| res = c_d; |
| res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | |
| ((PTR_SIZE_INT) r_d & mask)); |
| nist_cp_bn(r_d, res, BN_NIST_384_TOP); |
| r->top = BN_NIST_384_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
| |
| #define BN_NIST_521_RSHIFT (521%BN_BITS2) |
| #define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT) |
| #define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT) |
| |
| int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field, |
| BN_CTX *ctx) |
| { |
| int top = a->top, i; |
| BN_ULONG *r_d, *a_d = a->d, t_d[BN_NIST_521_TOP], val, tmp, *res; |
| PTR_SIZE_INT mask; |
| static const BIGNUM _bignum_nist_p_521_sqr = { |
| (BN_ULONG *)_nist_p_521_sqr, |
| sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), |
| sizeof(_nist_p_521_sqr) / sizeof(_nist_p_521_sqr[0]), |
| 0, BN_FLG_STATIC_DATA |
| }; |
| |
| field = &_bignum_nist_p_521; /* just to make sure */ |
| |
| if (BN_is_negative(a) || BN_ucmp(a, &_bignum_nist_p_521_sqr) >= 0) |
| return BN_nnmod(r, a, field, ctx); |
| |
| i = BN_ucmp(field, a); |
| if (i == 0) { |
| BN_zero(r); |
| return 1; |
| } else if (i > 0) |
| return (r == a) ? 1 : (BN_copy(r, a) != NULL); |
| |
| if (r != a) { |
| if (!bn_wexpand(r, BN_NIST_521_TOP)) |
| return 0; |
| r_d = r->d; |
| nist_cp_bn(r_d, a_d, BN_NIST_521_TOP); |
| } else |
| r_d = a_d; |
| |
| /* upper 521 bits, copy ... */ |
| nist_cp_bn_0(t_d, a_d + (BN_NIST_521_TOP - 1), |
| top - (BN_NIST_521_TOP - 1), BN_NIST_521_TOP); |
| /* ... and right shift */ |
| for (val = t_d[0], i = 0; i < BN_NIST_521_TOP - 1; i++) { |
| t_d[i] = (val >> BN_NIST_521_RSHIFT | |
| (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2; |
| val = tmp; |
| } |
| t_d[i] = val >> BN_NIST_521_RSHIFT; |
| /* lower 521 bits */ |
| r_d[i] &= BN_NIST_521_TOP_MASK; |
| |
| bn_add_words(r_d, r_d, t_d, BN_NIST_521_TOP); |
| mask = |
| 0 - (PTR_SIZE_INT) bn_sub_words(t_d, r_d, _nist_p_521, |
| BN_NIST_521_TOP); |
| res = t_d; |
| res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) | |
| ((PTR_SIZE_INT) r_d & mask)); |
| nist_cp_bn(r_d, res, BN_NIST_521_TOP); |
| r->top = BN_NIST_521_TOP; |
| bn_correct_top(r); |
| |
| return 1; |
| } |
