crypto/openssl-0.9/crypto/bn/bn_nist.c

   1 /* crypto/bn/bn_nist.c */
   2 /*
   3  * Written by Nils Larsch for the OpenSSL project
   4  */
   5 /* ====================================================================
   6  * Copyright (c) 1998-2005 The OpenSSL Project.  All rights reserved.
   7  *
   8  * Redistribution and use in source and binary forms, with or without
   9  * modification, are permitted provided that the following conditions
  10  * are met:
  11  *
  12  * 1. Redistributions of source code must retain the above copyright
  13  *    notice, this list of conditions and the following disclaimer.
  14  *
  15  * 2. Redistributions in binary form must reproduce the above copyright
  16  *    notice, this list of conditions and the following disclaimer in
  17  *    the documentation and/or other materials provided with the
  18  *    distribution.
  19  *
  20  * 3. All advertising materials mentioning features or use of this
  21  *    software must display the following acknowledgment:
  22  *    "This product includes software developed by the OpenSSL Project
  23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  24  *
  25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  26  *    endorse or promote products derived from this software without
  27  *    prior written permission. For written permission, please contact
  28  *    openssl-core@openssl.org.
  29  *
  30  * 5. Products derived from this software may not be called "OpenSSL"
  31  *    nor may "OpenSSL" appear in their names without prior written
  32  *    permission of the OpenSSL Project.
  33  *
  34  * 6. Redistributions of any form whatsoever must retain the following
  35  *    acknowledgment:
  36  *    "This product includes software developed by the OpenSSL Project
  37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  38  *
  39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  50  * OF THE POSSIBILITY OF SUCH DAMAGE.
  51  * ====================================================================
  52  *
  53  * This product includes cryptographic software written by Eric Young
  54  * (eay@cryptsoft.com).  This product includes software written by Tim
  55  * Hudson (tjh@cryptsoft.com).
  56  *
  57  */
  58
  59 #include "bn_lcl.h"
  60 #include "cryptlib.h"
  61
  62 #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
  63 #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
  64 #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
  65 #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
  66 #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
  67
  68 #if BN_BITS2 == 64
  69 static const BN_ULONG _nist_p_192[] =
  70         {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
  71         0xFFFFFFFFFFFFFFFFULL};
  72 static const BN_ULONG _nist_p_224[] =
  73         {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
  74         0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
  75 static const BN_ULONG _nist_p_256[] =
  76         {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
  77         0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
  78 static const BN_ULONG _nist_p_384[] =
  79         {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
  80         0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
  81         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
  82 static const BN_ULONG _nist_p_521[] =
  83         {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  84         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  85         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  86         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  87         0x00000000000001FFULL};
  88 #elif BN_BITS2 == 32
  89 static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
  90         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  91 static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
  92         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  93 static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  94         0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
  95 static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
  96         0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  97         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  98 static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  99         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
 100         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
 101         0xFFFFFFFF,0x000001FF};
 102 #elif BN_BITS2 == 16
 103 static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
 104         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 105 static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
 106         0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 107 static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 108         0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
 109         0xFFFF};
 110 static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
 111         0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 112         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 113 static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 114         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 115         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 116         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
 117 #elif BN_BITS2 == 8
 118 static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 119         0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 120         0xFF,0xFF};
 121 static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 122         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 123         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 124 static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 125         0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 126         0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
 127 static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
 128         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
 129         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 130         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 131 static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 132         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 133         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 134         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 135         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 136         0xFF,0x01};
 137 #endif
 138
 139 const BIGNUM *BN_get0_nist_prime_192(void)
 140         {
 141         static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
 142                 BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
 143         return &const_nist_192;
 144         }
 145
 146 const BIGNUM *BN_get0_nist_prime_224(void)
 147         {
 148         static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
 149                 BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
 150         return &const_nist_224;
 151         }
 152
 153 const BIGNUM *BN_get0_nist_prime_256(void)
 154         {
 155         static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
 156                 BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
 157         return &const_nist_256;
 158         }
 159
 160 const BIGNUM *BN_get0_nist_prime_384(void)
 161         {
 162         static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
 163                 BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
 164         return &const_nist_384;
 165         }
 166
 167 const BIGNUM *BN_get0_nist_prime_521(void)
 168         {
 169         static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
 170                 BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
 171         return &const_nist_521;
 172         }
 173
 174 /* some misc internal functions */
 175 #if BN_BITS2 != 64
 176 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
 177 static int _is_set_256_data = 0;
 178 static void _init_256_data(void);
 179
 180 static BN_ULONG _384_data[BN_NIST_384_TOP*8];
 181 static int _is_set_384_data = 0;
 182 static void _init_384_data(void);
 183 #endif
 184
 185 #define BN_NIST_ADD_ONE(a)      while (!(++(*(a)))) ++(a);
 186
 187 static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
 188         {
 189         int i;
 190         BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
 191         for (i = (top); i != 0; i--)
 192                 *_tmp1++ = *_tmp2++;
 193         for (i = (max) - (top); i != 0; i--)
 194                 *_tmp1++ = (BN_ULONG) 0;
 195         }
 196
 197 static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
 198         {
 199         int i;
 200         BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
 201         for (i = (top); i != 0; i--)
 202                 *_tmp1++ = *_tmp2++;
 203         }
 204
 205 #if BN_BITS2 == 64
 206 #define bn_cp_64(to, n, from, m)        (to)[n] = (from)[m];
 207 #define bn_64_set_0(to, n)              (to)[n] = (BN_ULONG)0;
 208 /* TBD */
 209 #define bn_cp_32(to, n, from, m)        (to)[n] = (from)[m];
 210 #define bn_32_set_0(to, n)              (to)[n] = (BN_ULONG)0;
 211 #else
 212 #define bn_cp_64(to, n, from, m) \
 213         { \
 214         bn_cp_32(to, (n)*2, from, (m)*2); \
 215         bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
 216         }
 217 #define bn_64_set_0(to, n) \
 218         { \
 219         bn_32_set_0(to, (n)*2); \
 220         bn_32_set_0(to, (n)*2+1); \
 221         }
 222 #if BN_BITS2 == 32
 223 #define bn_cp_32(to, n, from, m)        (to)[n] = (from)[m];
 224 #define bn_32_set_0(to, n)              (to)[n] = (BN_ULONG)0;
 225 #elif BN_BITS2 == 16
 226 #define bn_cp_32(to, n, from, m) \
 227         { \
 228         (to)[(n)*2]   = (from)[(m)*2];  \
 229         (to)[(n)*2+1] = (from)[(m)*2+1];\
 230         }
 231 #define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
 232 #elif BN_BITS2 == 8
 233 #define bn_cp_32(to, n, from, m) \
 234         { \
 235         (to)[(n)*4]   = (from)[(m)*4];  \
 236         (to)[(n)*4+1] = (from)[(m)*4+1];\
 237         (to)[(n)*4+2] = (from)[(m)*4+2];\
 238         (to)[(n)*4+3] = (from)[(m)*4+3];\
 239         }
 240 #define bn_32_set_0(to, n) \
 241         { (to)[(n)*4]   = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
 242           (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
 243 #endif
 244 #endif /* BN_BITS2 != 64 */
 245
 246
 247 #define nist_set_192(to, from, a1, a2, a3) \
 248         { \
 249         if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
 250         bn_cp_64(to, 1, from, (a2) - 3) \
 251         if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
 252         }
 253
 254 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 255         BN_CTX *ctx)
 256         {
 257         int      top = a->top, i;
 258         BN_ULONG carry = 0;
 259         register BN_ULONG *r_d, *a_d = a->d;
 260         BN_ULONG t_d[BN_NIST_192_TOP],
 261                  buf[BN_NIST_192_TOP];
 262
 263         i = BN_ucmp(field, a);
 264         if (i == 0)
 265                 {
 266                 BN_zero(r);
 267                 return 1;
 268                 }
 269         else if (i > 0)
 270                 return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
 271
 272         if (top == BN_NIST_192_TOP)
 273                 return BN_usub(r, a, field);
 274
 275         if (r != a)
 276                 {
 277                 if (!bn_wexpand(r, BN_NIST_192_TOP))
 278                         return 0;
 279                 r_d = r->d;
 280                 nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
 281                 }
 282         else
 283                 r_d = a_d;
 284
 285         nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
 286
 287 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
 288 # pragma message save
 289 # pragma message disable BADSUBSCRIPT
 290 #endif
 291
 292         nist_set_192(t_d, buf, 0, 3, 3);
 293         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 294                 ++carry;
 295
 296         nist_set_192(t_d, buf, 4, 4, 0);
 297         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 298                 ++carry;
 299
 300 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
 301 # pragma message restore
 302 #endif
 303
 304         nist_set_192(t_d, buf, 5, 5, 5)
 305         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 306                 ++carry;
 307
 308         while (carry)
 309                 {
 310                 if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
 311                         --carry;
 312                 }
 313         r->top = BN_NIST_192_TOP;
 314         bn_correct_top(r);
 315         if (BN_ucmp(r, field) >= 0)
 316                 {
 317                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 318                 bn_correct_top(r);
 319                 }
 320
 321         bn_check_top(r);
 322         return 1;
 323         }
 324
 325 #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
 326         { \
 327         if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
 328         if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
 329         if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
 330         if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
 331         if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
 332         if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
 333         if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
 334         }
 335
 336 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 337         BN_CTX *ctx)
 338         {
 339 #if BN_BITS2 != 64
 340         int     top = a->top, i;
 341         int     carry = 0;
 342         BN_ULONG *r_d, *a_d = a->d;
 343         BN_ULONG t_d[BN_NIST_224_TOP],
 344                  buf[BN_NIST_224_TOP];
 345
 346         i = BN_ucmp(field, a);
 347         if (i == 0)
 348                 {
 349                 BN_zero(r);
 350                 return 1;
 351                 }
 352         else if (i > 0)
 353                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 354
 355         if (top == BN_NIST_224_TOP)
 356                 return BN_usub(r, a, field);
 357
 358         if (r != a)
 359                 {
 360                 if (!bn_wexpand(r, BN_NIST_224_TOP))
 361                         return 0;
 362                 r_d = r->d;
 363                 nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
 364                 }
 365         else
 366                 r_d = a_d;
 367
 368         nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
 369
 370         nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
 371         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 372                 ++carry;
 373         nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
 374         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 375                 ++carry;
 376         nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
 377         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 378                 --carry;
 379         nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
 380         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 381                 --carry;
 382
 383         if (carry > 0)
 384                 while (carry)
 385                         {
 386                         if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 387                                 --carry;
 388                         }
 389         else if (carry < 0)
 390                 while (carry)
 391                         {
 392                         if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 393                                 ++carry;
 394                         }
 395
 396         r->top = BN_NIST_224_TOP;
 397         bn_correct_top(r);
 398         if (BN_ucmp(r, field) >= 0)
 399                 {
 400                 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
 401                 bn_correct_top(r);
 402                 }
 403         bn_check_top(r);
 404         return 1;
 405 #else
 406         return 0;
 407 #endif
 408         }
 409
 410 #if BN_BITS2 != 64
 411 static void _init_256_data(void)
 412         {
 413         int     i;
 414         BN_ULONG *tmp1 = _256_data;
 415         const BN_ULONG *tmp2 = tmp1;
 416
 417         memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
 418         tmp1 += BN_NIST_256_TOP;
 419
 420         for (i=0; i<5; i++)
 421                 {
 422                 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
 423                 tmp2  = tmp1;
 424                 tmp1 += BN_NIST_256_TOP;
 425                 }
 426         _is_set_256_data = 1;
 427         }
 428 #endif
 429
 430 #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
 431         { \
 432         if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
 433         if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
 434         if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
 435         if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
 436         if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
 437         if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
 438         if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
 439         if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
 440         }
 441
 442 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 443         BN_CTX *ctx)
 444         {
 445 #if BN_BITS2 != 64
 446         int     i, top = a->top;
 447         int     carry = 0;
 448         register BN_ULONG *a_d = a->d, *r_d;
 449         BN_ULONG t_d[BN_NIST_256_TOP],
 450                  t_d2[BN_NIST_256_TOP],
 451                  buf[BN_NIST_256_TOP];
 452
 453         if (!_is_set_256_data)
 454                 {
 455                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 456
 457                 if (!_is_set_256_data)
 458                         _init_256_data();
 459
 460                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 461                 }
 462
 463         i = BN_ucmp(field, a);
 464         if (i == 0)
 465                 {
 466                 BN_zero(r);
 467                 return 1;
 468                 }
 469         else if (i > 0)
 470                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 471
 472         if (top == BN_NIST_256_TOP)
 473                 return BN_usub(r, a, field);
 474
 475         if (r != a)
 476                 {
 477                 if (!bn_wexpand(r, BN_NIST_256_TOP))
 478                         return 0;
 479                 r_d = r->d;
 480                 nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
 481                 }
 482         else
 483                 r_d = a_d;
 484
 485         nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
 486
 487         /*S1*/
 488         nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
 489         /*S2*/
 490         nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
 491         if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
 492                 carry = 2;
 493         /* left shift */
 494                 {
 495                 register BN_ULONG *ap,t,c;
 496                 ap = t_d;
 497                 c=0;
 498                 for (i = BN_NIST_256_TOP; i != 0; --i)
 499                         {
 500                         t= *ap;
 501                         *(ap++)=((t<<1)|c)&BN_MASK2;
 502                         c=(t & BN_TBIT)?1:0;
 503                         }
 504                 if (c)
 505                         ++carry;
 506                 }
 507
 508         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 509                 ++carry;
 510         /*S3*/
 511         nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
 512         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 513                 ++carry;
 514         /*S4*/
 515         nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
 516         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 517                 ++carry;
 518         /*D1*/
 519         nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
 520         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 521                 --carry;
 522         /*D2*/
 523         nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
 524         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 525                 --carry;
 526         /*D3*/
 527         nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
 528         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 529                 --carry;
 530         /*D4*/
 531         nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
 532         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 533                 --carry;
 534
 535         if (carry)
 536                 {
 537                 if (carry > 0)
 538                         bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 539                                 --carry, BN_NIST_256_TOP);
 540                 else
 541                         {
 542                         carry = -carry;
 543                         bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 544                                 --carry, BN_NIST_256_TOP);
 545                         }
 546                 }
 547
 548         r->top = BN_NIST_256_TOP;
 549         bn_correct_top(r);
 550         if (BN_ucmp(r, field) >= 0)
 551                 {
 552                 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
 553                 bn_correct_top(r);
 554                 }
 555         bn_check_top(r);
 556         return 1;
 557 #else
 558         return 0;
 559 #endif
 560         }
 561
 562 #if BN_BITS2 != 64
 563 static void _init_384_data(void)
 564         {
 565         int     i;
 566         BN_ULONG *tmp1 = _384_data;
 567         const BN_ULONG *tmp2 = tmp1;
 568
 569         memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
 570         tmp1 += BN_NIST_384_TOP;
 571
 572         for (i=0; i<7; i++)
 573                 {
 574                 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
 575                 tmp2  = tmp1;
 576                 tmp1 += BN_NIST_384_TOP;
 577                 }
 578         _is_set_384_data = 1;
 579         }
 580 #endif
 581
 582 #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
 583         { \
 584         if (a12 != 0) bn_cp_32(to, 0, from,  (a12) - 12) else bn_32_set_0(to, 0)\
 585         if (a11 != 0) bn_cp_32(to, 1, from,  (a11) - 12) else bn_32_set_0(to, 1)\
 586         if (a10 != 0) bn_cp_32(to, 2, from,  (a10) - 12) else bn_32_set_0(to, 2)\
 587         if (a9 != 0)  bn_cp_32(to, 3, from,  (a9) - 12)  else bn_32_set_0(to, 3)\
 588         if (a8 != 0)  bn_cp_32(to, 4, from,  (a8) - 12)  else bn_32_set_0(to, 4)\
 589         if (a7 != 0)  bn_cp_32(to, 5, from,  (a7) - 12)  else bn_32_set_0(to, 5)\
 590         if (a6 != 0)  bn_cp_32(to, 6, from,  (a6) - 12)  else bn_32_set_0(to, 6)\
 591         if (a5 != 0)  bn_cp_32(to, 7, from,  (a5) - 12)  else bn_32_set_0(to, 7)\
 592         if (a4 != 0)  bn_cp_32(to, 8, from,  (a4) - 12)  else bn_32_set_0(to, 8)\
 593         if (a3 != 0)  bn_cp_32(to, 9, from,  (a3) - 12)  else bn_32_set_0(to, 9)\
 594         if (a2 != 0)  bn_cp_32(to, 10, from, (a2) - 12)  else bn_32_set_0(to, 10)\
 595         if (a1 != 0)  bn_cp_32(to, 11, from, (a1) - 12)  else bn_32_set_0(to, 11)\
 596         }
 597
 598 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 599         BN_CTX *ctx)
 600         {
 601 #if BN_BITS2 != 64
 602         int     i, top = a->top;
 603         int     carry = 0;
 604         register BN_ULONG *r_d, *a_d = a->d;
 605         BN_ULONG t_d[BN_NIST_384_TOP],
 606                  buf[BN_NIST_384_TOP];
 607
 608         if (!_is_set_384_data)
 609                 {
 610                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 611
 612                 if (!_is_set_384_data)
 613                         _init_384_data();
 614
 615                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 616                 }
 617
 618         i = BN_ucmp(field, a);
 619         if (i == 0)
 620                 {
 621                 BN_zero(r);
 622                 return 1;
 623                 }
 624         else if (i > 0)
 625                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 626
 627         if (top == BN_NIST_384_TOP)
 628                 return BN_usub(r, a, field);
 629
 630         if (r != a)
 631                 {
 632                 if (!bn_wexpand(r, BN_NIST_384_TOP))
 633                         return 0;
 634                 r_d = r->d;
 635                 nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
 636                 }
 637         else
 638                 r_d = a_d;
 639
 640         nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
 641
 642         /*S1*/
 643         nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
 644                 /* left shift */
 645                 {
 646                 register BN_ULONG *ap,t,c;
 647                 ap = t_d;
 648                 c=0;
 649                 for (i = BN_NIST_256_TOP; i != 0; --i)
 650                         {
 651                         t= *ap;
 652                         *(ap++)=((t<<1)|c)&BN_MASK2;
 653                         c=(t & BN_TBIT)?1:0;
 654                         }
 655                 }
 656         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 657                 t_d, BN_NIST_256_TOP))
 658                 ++carry;
 659         /*S2 */
 660         if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
 661                 ++carry;
 662         /*S3*/
 663         nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
 664         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 665                 ++carry;
 666         /*S4*/
 667         nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
 668         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 669                 ++carry;
 670         /*S5*/
 671         nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
 672         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 673                 t_d, BN_NIST_256_TOP))
 674                 ++carry;
 675         /*S6*/
 676         nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
 677         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 678                 ++carry;
 679         /*D1*/
 680         nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
 681         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 682                 --carry;
 683         /*D2*/
 684         nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
 685         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 686                 --carry;
 687         /*D3*/
 688         nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
 689         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 690                 --carry;
 691
 692         if (carry)
 693                 {
 694                 if (carry > 0)
 695                         bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 696                                 --carry, BN_NIST_384_TOP);
 697                 else
 698                         {
 699                         carry = -carry;
 700                         bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 701                                 --carry, BN_NIST_384_TOP);
 702                         }
 703                 }
 704
 705         r->top = BN_NIST_384_TOP;
 706         bn_correct_top(r);
 707         if (BN_ucmp(r, field) >= 0)
 708                 {
 709                 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
 710                 bn_correct_top(r);
 711                 }
 712         bn_check_top(r);
 713         return 1;
 714 #else
 715         return 0;
 716 #endif
 717         }
 718
 719 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 720         BN_CTX *ctx)
 721         {
 722 #if BN_BITS2 == 64
 723 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 724 #elif BN_BITS2 == 32
 725 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 726 #elif BN_BITS2 == 16
 727 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 728 #elif BN_BITS2 == 8
 729 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1
 730 #endif
 731         int     top, ret = 0;
 732         BN_ULONG *r_d;
 733         BIGNUM  *tmp;
 734
 735         /* check whether a reduction is necessary */
 736         top = a->top;
 737         if (top < BN_NIST_521_TOP  || ( top == BN_NIST_521_TOP &&
 738            (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
 739                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 740
 741         BN_CTX_start(ctx);
 742         tmp = BN_CTX_get(ctx);
 743         if (!tmp)
 744                 goto err;
 745
 746         if (!bn_wexpand(tmp, BN_NIST_521_TOP))
 747                 goto err;
 748         nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
 749
 750         tmp->top = BN_NIST_521_TOP;
 751         tmp->d[BN_NIST_521_TOP-1]  &= BN_NIST_521_TOP_MASK;
 752         bn_correct_top(tmp);
 753
 754         if (!BN_rshift(r, a, 521))
 755                 goto err;
 756
 757         if (!BN_uadd(r, tmp, r))
 758                 goto err;
 759         top = r->top;
 760         r_d = r->d;
 761         if (top == BN_NIST_521_TOP  &&
 762            (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
 763                 {
 764                 BN_NIST_ADD_ONE(r_d)
 765                 r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
 766                 }
 767         bn_correct_top(r);
 768
 769         ret = 1;
 770 err:
 771         BN_CTX_end(ctx);
 772
 773         bn_check_top(r);
 774         return ret;
 775         }