bn_nist.c
/* crypto/bn/bn_nist.c */
/* ====================================================================
* Copyright (c) 1998-2002 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
const static BN_ULONG _nist_p_192[] =
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
0xFFFFFFFFFFFFFFFFULL};
const static BN_ULONG _nist_p_224[] =
{0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
const static BN_ULONG _nist_p_256[] =
{0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
const static BN_ULONG _nist_p_384[] =
{0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
const static BN_ULONG _nist_p_521[] =
{0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
0x00000000000001FFULL};
#elif BN_BITS2 == 32
const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
const static BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
const static 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
const static BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
const static BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
const static BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
0xFFFF};
const static 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};
const static 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
const static 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};
const static 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};
const static 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};
const static 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};
const static 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 */
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);
#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
#define __buf_0 (BN_ULONG)0
#define __buf_0_1 (BN_ULONG)0
#define __buf_0_2 (BN_ULONG)0
#if BN_BITS2 == 64
#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
#define BN_CP_64_TO_BUF(n) __buf_##n = (a)[(n)];
#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n;
#define BN_CASE_64_BIT(n,a) case (n): __buf_##n = (a)[(n)];
#if UINT_MAX == 4294967295UL
#define nist32 unsigned int
#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
#elif ULONG_MAX == 4294967295UL
#define nist32 unsigned long
#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
#else
#define NO_32_BIT_TYPE
#endif
#elif BN_BITS2 == 32
#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
#define BN_CP_64_TO_BUF(n) __buf_##n##_2 = (a)[2*(n)+1];\
__buf_##n##_1 = (a)[2*(n)];
#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
*(a)++ = __buf_##n##_2;
#define BN_CASE_64_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
case 2*(n): __buf_##n##_1 = (a)[2*(n)];
#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
#define BN_CP_32_TO_BUF(n) __buf_##n = (a)[(n)];
#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n;
#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = (a)[(n)];
#elif BN_BITS2 == 16
#define __buf_0_3 (BN_ULONG)0
#define __buf_0_4 (BN_ULONG)0
#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
#define BN_CP_64_TO_BUF(n) __buf_##n##_4 = (a)[4*(n)+3];\
__buf_##n##_3 = (a)[4*(n)+2];\
__buf_##n##_2 = (a)[4*(n)+1];\
__buf_##n##_1 = (a)[4*(n)];
#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
*(a)++ = __buf_##n##_2;\
*(a)++ = __buf_##n##_3;\
*(a)++ = __buf_##n##_4;
#define BN_CASE_64_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
case 4*(n): __buf_##n##_1 = (a)[4*(n)];
#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[2*(n)];\
__buf_##n##_2 = (a)[2*(n)+1];
#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
*(a)++ = __buf_##n##_2;
#define BN_CASE_32_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
case 2*(n): __buf_##n##_1 = (a)[2*(n)];
#elif BN_BITS2 == 8
#define __buf_0_3 (BN_ULONG)0
#define __buf_0_4 (BN_ULONG)0
#define __buf_0_5 (BN_ULONG)0
#define __buf_0_6 (BN_ULONG)0
#define __buf_0_7 (BN_ULONG)0
#define __buf_0_8 (BN_ULONG)0
#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
#define BN_CP_64_TO_BUF(n) __buf_##n##_8 = (a)[8*(n)+7];\
__buf_##n##_7 = (a)[8*(n)+6];\
__buf_##n##_6 = (a)[8*(n)+5];\
__buf_##n##_5 = (a)[8*(n)+4];\
__buf_##n##_4 = (a)[8*(n)+3];\
__buf_##n##_3 = (a)[8*(n)+2];\
__buf_##n##_2 = (a)[8*(n)+1];\
__buf_##n##_1 = (a)[8*(n)];
#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
*(a)++ = __buf_##n##_2;\
*(a)++ = __buf_##n##_3;\
*(a)++ = __buf_##n##_4;\
*(a)++ = __buf_##n##_5;\
*(a)++ = __buf_##n##_6;\
*(a)++ = __buf_##n##_7;\
*(a)++ = __buf_##n##_8;
#define BN_CASE_64_BIT(n,a) case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
case 8*(n): __buf_##n##_1 = (a)[8*(n)];
#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[4*(n)];\
__buf_##n##_2 = (a)[4*(n)+1];\
__buf_##n##_3 = (a)[4*(n)+2];\
__buf_##n##_4 = (a)[4*(n)+3];
#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
*(a)++ = __buf_##n##_2;\
*(a)++ = __buf_##n##_3;\
*(a)++ = __buf_##n##_4;
#define BN_CASE_32_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
case 4*(n): __buf_##n##_1 = (a)[4*(n)];
#endif
#define BN_192_SET(d,a1,a2,a3) \
{\
register BN_ULONG *td = (d);\
BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
BN_CP_64_FROM_BUF(td,a1);\
}
int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
int top;
BN_ULONG carry = 0;
register BN_ULONG *r_d, *a_d;
BN_ULONG t_d[BN_NIST_192_TOP];
BN_64_BIT_BUF(3) BN_64_BIT_BUF(4)
BN_64_BIT_BUF(5)
top = BN_ucmp(field, a);
if (top == 0)
{
BN_zero(r);
return 1;
}
else if (top > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
if (!BN_ncopy(r, a, BN_NIST_192_TOP))
return 0;
r_d = r->d;
a_d = a->d;
top = a->top-1;
switch (top)
{
BN_CASE_64_BIT(5, a_d)
BN_CASE_64_BIT(4, a_d)
BN_CASE_64_BIT(3, a_d)
break;
default: /* a->top == field->top */
return BN_usub(r, a, field);
}
BN_192_SET(t_d,0,3,3)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
++carry;
BN_192_SET(t_d,4,4,0)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
++carry;
BN_192_SET(t_d,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 BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
{\
register BN_ULONG *td = (d);\
BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
BN_CP_32_FROM_BUF(td,a1);\
}
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#ifndef NO_32_BIT_TYPE
int tmp_int;
int carry = 0;
BN_ULONG *r_d, *a_d;
BN_ULONG t_d[BN_NIST_224_TOP];
BN_32_BIT_BUF(7) BN_32_BIT_BUF(8)
BN_32_BIT_BUF(9) BN_32_BIT_BUF(10)
BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
BN_32_BIT_BUF(13)
tmp_int = BN_ucmp(field, a);
if (tmp_int == 0)
{
BN_zero(r);
return 1;
}
else if (tmp_int > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
if (!BN_ncopy(r, a, BN_NIST_224_TOP))
return 0;
r_d = r->d;
a_d = a->d;
tmp_int = a->top-1;
switch (tmp_int)
{
BN_CASE_32_BIT(13, a_d)
BN_CASE_32_BIT(12, a_d)
BN_CASE_32_BIT(11, a_d)
BN_CASE_32_BIT(10, a_d)
BN_CASE_32_BIT(9, a_d)
BN_CASE_32_BIT(8, a_d)
BN_CASE_32_BIT(7, a_d)
break;
default: /* a->top == field->top */
return BN_usub(r, a, field);
}
BN_224_SET(t_d,10,9,8,7,0,0,0)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
++carry;
BN_224_SET(t_d,0,13,12,11,0,0,0)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
++carry;
BN_224_SET(t_d,13,12,11,10,9,8,7)
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
--carry;
BN_224_SET(t_d,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
}
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;
}
#define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
{\
register BN_ULONG *td = (d);\
BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
}
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#ifndef NO_32_BIT_TYPE
int tmp_int;
int carry = 0;
register BN_ULONG *a_d, *r_d;
BN_ULONG t_d[BN_NIST_256_TOP];
BN_ULONG t_d2[BN_NIST_256_TOP];
BN_32_BIT_BUF(8) BN_32_BIT_BUF(9)
BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
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);
}
tmp_int = BN_ucmp(field, a);
if (tmp_int == 0)
{
BN_zero(r);
return 1;
}
else if (tmp_int > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
if (!BN_ncopy(r, a, BN_NIST_256_TOP))
return 0;
tmp_int = a->top-1;
a_d = a->d;
r_d = r->d;
switch (tmp_int)
{
BN_CASE_32_BIT(15, a_d)
BN_CASE_32_BIT(14, a_d)
BN_CASE_32_BIT(13, a_d)
BN_CASE_32_BIT(12, a_d)
BN_CASE_32_BIT(11, a_d)
BN_CASE_32_BIT(10, a_d)
BN_CASE_32_BIT(9, a_d)
BN_CASE_32_BIT(8, a_d)
break;
default: /* a->top == field->top */
return BN_usub(r, a, field);
}
/*S1*/
BN_256_SET(t_d,15,14,13,12,11,0,0,0)
/*S2*/
BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
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 (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
{
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*/
BN_256_SET(t_d,15,14,0,0,0,10,9,8)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
++carry;
/*S4*/
BN_256_SET(t_d,8,13,15,14,13,11,10,9)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
++carry;
/*D1*/
BN_256_SET(t_d,10,8,0,0,0,13,12,11)
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
/*D2*/
BN_256_SET(t_d,11,9,0,0,15,14,13,12)
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
/*D3*/
BN_256_SET(t_d,12,0,10,9,8,15,14,13)
if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
--carry;
/*D4*/
BN_256_SET(t_d,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
}
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;
}
#define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
{\
register BN_ULONG *td = (d);\
BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
}
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
BN_CTX *ctx)
{
#ifndef NO_32_BIT_TYPE
int tmp_int;
int carry = 0;
register BN_ULONG *r_d, *a_d;
BN_ULONG t_d[BN_NIST_384_TOP];
BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
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);
}
tmp_int = BN_ucmp(field, a);
if (tmp_int == 0)
{
BN_zero(r);
return 1;
}
else if (tmp_int > 0)
return (r == a)? 1 : (BN_copy(r ,a) != NULL);
if (r != a)
if (!BN_ncopy(r, a, BN_NIST_384_TOP))
return 0;
r_d = r->d;
a_d = a->d;
tmp_int = a->top-1;
switch (tmp_int)
{
BN_CASE_32_BIT(23, a_d)
BN_CASE_32_BIT(22, a_d)
BN_CASE_32_BIT(21, a_d)
BN_CASE_32_BIT(20, a_d)
BN_CASE_32_BIT(19, a_d)
BN_CASE_32_BIT(18, a_d)
BN_CASE_32_BIT(17, a_d)
BN_CASE_32_BIT(16, a_d)
BN_CASE_32_BIT(15, a_d)
BN_CASE_32_BIT(14, a_d)
BN_CASE_32_BIT(13, a_d)
BN_CASE_32_BIT(12, a_d)
break;
default: /* a->top == field->top */
return BN_usub(r, a, field);
}
/*S1*/
BN_256_SET(t_d,0,0,0,0,0,23,22,21)
/* left shift */
{
register BN_ULONG *ap,t,c;
ap = t_d;
c=0;
for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
{
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*/
BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
++carry;
/*S3*/
BN_384_SET(t_d,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*/
BN_384_SET(t_d,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*/
BN_256_SET(t_d,0,0,0,0,23,22,21,20)
if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
t_d, BN_NIST_256_TOP))
++carry;
/*S6*/
BN_384_SET(t_d,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*/
BN_384_SET(t_d,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*/
BN_384_SET(t_d,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*/
BN_384_SET(t_d,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_ncopy(tmp, a, BN_NIST_521_TOP))
return 0;
if (!BN_rshift(r, a, 521))
return 0;
if (tmp->top == BN_NIST_521_TOP)
tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
bn_correct_top(tmp);
if (!BN_uadd(r, tmp, r))
return 0;
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;
}
