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)+1)&BN_MASK2)) ++(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         register BN_ULONG *r_d, *a_d = a->d;
 259         BN_ULONG t_d[BN_NIST_192_TOP],
 260                  buf[BN_NIST_192_TOP];
 261
 262         i = BN_ucmp(field, a);
 263         if (i == 0)
 264                 {
 265                 BN_zero(r);
 266                 return 1;
 267                 }
 268         else if (i > 0)
 269                 return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
 270
 271         if (top == BN_NIST_192_TOP)
 272                 return BN_usub(r, a, field);
 273
 274         if (r != a)
 275                 {
 276                 if (!bn_wexpand(r, BN_NIST_192_TOP))
 277                         return 0;
 278                 r_d = r->d;
 279                 nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
 280                 }
 281         else
 282                 r_d = a_d;
 283
 284         nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
 285
 286 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
 287 # pragma message save
 288 # pragma message disable BADSUBSCRIPT
 289 #endif
 290
 291         nist_set_192(t_d, buf, 0, 3, 3);
 292         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 293                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 294
 295         nist_set_192(t_d, buf, 4, 4, 0);
 296         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 297                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 298
 299 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
 300 # pragma message restore
 301 #endif
 302
 303         nist_set_192(t_d, buf, 5, 5, 5)
 304         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 305                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 306
 307         r->top = BN_NIST_192_TOP;
 308         bn_correct_top(r);
 309         if (BN_ucmp(r, field) >= 0)
 310                 {
 311                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 312                 bn_correct_top(r);
 313                 }
 314
 315         bn_check_top(r);
 316         return 1;
 317         }
 318
 319 #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
 320         { \
 321         if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
 322         if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
 323         if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
 324         if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
 325         if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
 326         if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
 327         if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
 328         }
 329
 330 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 331         BN_CTX *ctx)
 332         {
 333 #if BN_BITS2 == 32
 334         int     top = a->top, i;
 335         BN_ULONG *r_d, *a_d = a->d;
 336         BN_ULONG t_d[BN_NIST_224_TOP],
 337                  buf[BN_NIST_224_TOP];
 338
 339         i = BN_ucmp(field, a);
 340         if (i == 0)
 341                 {
 342                 BN_zero(r);
 343                 return 1;
 344                 }
 345         else if (i > 0)
 346                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 347
 348         if (top == BN_NIST_224_TOP)
 349                 return BN_usub(r, a, field);
 350
 351         if (r != a)
 352                 {
 353                 if (!bn_wexpand(r, BN_NIST_224_TOP))
 354                         return 0;
 355                 r_d = r->d;
 356                 nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
 357                 }
 358         else
 359                 r_d = a_d;
 360
 361         nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
 362
 363         nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
 364         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 365                 bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
 366         nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
 367         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 368                 bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
 369         nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
 370         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 371                 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
 372         nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
 373         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 374                 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
 375
 376         r->top = BN_NIST_224_TOP;
 377         bn_correct_top(r);
 378         if (BN_ucmp(r, field) >= 0)
 379                 {
 380                 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
 381                 bn_correct_top(r);
 382                 }
 383         bn_check_top(r);
 384         return 1;
 385 #else
 386         return 0;
 387 #endif
 388         }
 389
 390 #if BN_BITS2 == 32
 391 static void _init_256_data(void)
 392         {
 393         int     i;
 394         BN_ULONG *tmp1 = _256_data;
 395         const BN_ULONG *tmp2 = tmp1;
 396
 397         memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
 398         tmp1 += BN_NIST_256_TOP;
 399
 400         for (i=0; i<5; i++)
 401                 {
 402                 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
 403                 tmp2  = tmp1;
 404                 tmp1 += BN_NIST_256_TOP;
 405                 }
 406         _is_set_256_data = 1;
 407         }
 408 #endif
 409
 410 #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
 411         { \
 412         if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
 413         if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
 414         if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
 415         if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
 416         if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
 417         if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
 418         if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
 419         if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
 420         }
 421
 422 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 423         BN_CTX *ctx)
 424         {
 425 #if BN_BITS2 == 32
 426         int     i, top = a->top;
 427         int     carry = 0;
 428         register BN_ULONG *a_d = a->d, *r_d;
 429         BN_ULONG t_d[BN_NIST_256_TOP],
 430                  t_d2[BN_NIST_256_TOP],
 431                  buf[BN_NIST_256_TOP];
 432
 433         if (!_is_set_256_data)
 434                 {
 435                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 436
 437                 if (!_is_set_256_data)
 438                         _init_256_data();
 439
 440                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 441                 }
 442
 443         i = BN_ucmp(field, a);
 444         if (i == 0)
 445                 {
 446                 BN_zero(r);
 447                 return 1;
 448                 }
 449         else if (i > 0)
 450                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 451
 452         if (top == BN_NIST_256_TOP)
 453                 return BN_usub(r, a, field);
 454
 455         if (r != a)
 456                 {
 457                 if (!bn_wexpand(r, BN_NIST_256_TOP))
 458                         return 0;
 459                 r_d = r->d;
 460                 nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
 461                 }
 462         else
 463                 r_d = a_d;
 464
 465         nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
 466
 467         /*S1*/
 468         nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
 469         /*S2*/
 470         nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
 471         carry = bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP);
 472         /* left shift */
 473                 {
 474                 register BN_ULONG *ap,t,c;
 475                 ap = t_d;
 476                 c=0;
 477                 for (i = BN_NIST_256_TOP; i != 0; --i)
 478                         {
 479                         t= *ap;
 480                         *(ap++)=((t<<1)|c)&BN_MASK2;
 481                         c=(t & BN_TBIT)?1:0;
 482                         }
 483                 carry <<= 1;
 484                 carry  |= c;
 485                 }
 486
 487         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 488         /*S3*/
 489         nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
 490         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 491         /*S4*/
 492         nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
 493         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 494
 495         if (carry)
 496                 bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 497                                 (carry-1), BN_NIST_256_TOP);
 498
 499         /*D1*/
 500         nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
 501         carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 502         /*D2*/
 503         nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
 504         carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 505         /*D3*/
 506         nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
 507         carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 508         /*D4*/
 509         nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
 510         carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
 511
 512         if (carry)
 513                 bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 514                                 (carry-1), BN_NIST_256_TOP);
 515
 516         r->top = BN_NIST_256_TOP;
 517         bn_correct_top(r);
 518         if (BN_ucmp(r, field) >= 0)
 519                 {
 520                 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
 521                 bn_correct_top(r);
 522                 }
 523         bn_check_top(r);
 524         return 1;
 525 #else
 526         return 0;
 527 #endif
 528         }
 529
 530 #if BN_BITS2 == 32
 531 static void _init_384_data(void)
 532         {
 533         int     i;
 534         BN_ULONG *tmp1 = _384_data;
 535         const BN_ULONG *tmp2 = tmp1;
 536
 537         memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
 538         tmp1 += BN_NIST_384_TOP;
 539
 540         for (i=0; i<7; i++)
 541                 {
 542                 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
 543                 tmp2  = tmp1;
 544                 tmp1 += BN_NIST_384_TOP;
 545                 }
 546         _is_set_384_data = 1;
 547         }
 548 #endif
 549
 550 #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
 551         { \
 552         if (a12 != 0) bn_cp_32(to, 0, from,  (a12) - 12) else bn_32_set_0(to, 0)\
 553         if (a11 != 0) bn_cp_32(to, 1, from,  (a11) - 12) else bn_32_set_0(to, 1)\
 554         if (a10 != 0) bn_cp_32(to, 2, from,  (a10) - 12) else bn_32_set_0(to, 2)\
 555         if (a9 != 0)  bn_cp_32(to, 3, from,  (a9) - 12)  else bn_32_set_0(to, 3)\
 556         if (a8 != 0)  bn_cp_32(to, 4, from,  (a8) - 12)  else bn_32_set_0(to, 4)\
 557         if (a7 != 0)  bn_cp_32(to, 5, from,  (a7) - 12)  else bn_32_set_0(to, 5)\
 558         if (a6 != 0)  bn_cp_32(to, 6, from,  (a6) - 12)  else bn_32_set_0(to, 6)\
 559         if (a5 != 0)  bn_cp_32(to, 7, from,  (a5) - 12)  else bn_32_set_0(to, 7)\
 560         if (a4 != 0)  bn_cp_32(to, 8, from,  (a4) - 12)  else bn_32_set_0(to, 8)\
 561         if (a3 != 0)  bn_cp_32(to, 9, from,  (a3) - 12)  else bn_32_set_0(to, 9)\
 562         if (a2 != 0)  bn_cp_32(to, 10, from, (a2) - 12)  else bn_32_set_0(to, 10)\
 563         if (a1 != 0)  bn_cp_32(to, 11, from, (a1) - 12)  else bn_32_set_0(to, 11)\
 564         }
 565
 566 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 567         BN_CTX *ctx)
 568         {
 569 #if BN_BITS2 == 32
 570         int     i, top = a->top;
 571         int     carry = 0;
 572         register BN_ULONG *r_d, *a_d = a->d;
 573         BN_ULONG t_d[BN_NIST_384_TOP],
 574                  buf[BN_NIST_384_TOP];
 575
 576         if (!_is_set_384_data)
 577                 {
 578                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 579
 580                 if (!_is_set_384_data)
 581                         _init_384_data();
 582
 583                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 584                 }
 585
 586         i = BN_ucmp(field, a);
 587         if (i == 0)
 588                 {
 589                 BN_zero(r);
 590                 return 1;
 591                 }
 592         else if (i > 0)
 593                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 594
 595         if (top == BN_NIST_384_TOP)
 596                 return BN_usub(r, a, field);
 597
 598         if (r != a)
 599                 {
 600                 if (!bn_wexpand(r, BN_NIST_384_TOP))
 601                         return 0;
 602                 r_d = r->d;
 603                 nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
 604                 }
 605         else
 606                 r_d = a_d;
 607
 608         nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
 609
 610         /*S1*/
 611         nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
 612                 /* left shift */
 613                 {
 614                 register BN_ULONG *ap,t,c;
 615                 ap = t_d;
 616                 c=0;
 617                 for (i = 3; i != 0; --i)
 618                         {
 619                         t= *ap;
 620                         *(ap++)=((t<<1)|c)&BN_MASK2;
 621                         c=(t & BN_TBIT)?1:0;
 622                         }
 623                 *ap=c;
 624                 }
 625         carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 626                 t_d, BN_NIST_256_TOP);
 627         /*S2 */
 628         carry += bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
 629         /*S3*/
 630         nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
 631         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 632         /*S4*/
 633         nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
 634         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 635         /*S5*/
 636         nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
 637         carry += bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 638                 t_d, BN_NIST_256_TOP);
 639         /*S6*/
 640         nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
 641         carry += bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 642
 643         if (carry)
 644                 bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 645                                 (carry-1), BN_NIST_384_TOP);
 646
 647         /*D1*/
 648         nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
 649         carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 650         /*D2*/
 651         nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
 652         carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 653         /*D3*/
 654         nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
 655         carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
 656
 657         if (carry)
 658                 bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 659                                 (carry-1), BN_NIST_384_TOP);
 660
 661         r->top = BN_NIST_384_TOP;
 662         bn_correct_top(r);
 663         if (BN_ucmp(r, field) >= 0)
 664                 {
 665                 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
 666                 bn_correct_top(r);
 667                 }
 668         bn_check_top(r);
 669         return 1;
 670 #else
 671         return 0;
 672 #endif
 673         }
 674
 675 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 676         BN_CTX *ctx)
 677         {
 678 #if BN_BITS2 == 64
 679 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 680 #elif BN_BITS2 == 32
 681 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 682 #elif BN_BITS2 == 16
 683 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 684 #elif BN_BITS2 == 8
 685 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1
 686 #endif
 687         int     top, ret = 0;
 688         BN_ULONG *r_d;
 689         BIGNUM  *tmp;
 690
 691         /* check whether a reduction is necessary */
 692         top = a->top;
 693         if (top < BN_NIST_521_TOP  || ( top == BN_NIST_521_TOP &&
 694            (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
 695                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 696
 697         BN_CTX_start(ctx);
 698         tmp = BN_CTX_get(ctx);
 699         if (!tmp)
 700                 goto err;
 701
 702         if (!bn_wexpand(tmp, BN_NIST_521_TOP))
 703                 goto err;
 704         nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
 705
 706         tmp->top = BN_NIST_521_TOP;
 707         tmp->d[BN_NIST_521_TOP-1]  &= BN_NIST_521_TOP_MASK;
 708         bn_correct_top(tmp);
 709
 710         if (!BN_rshift(r, a, 521))
 711                 goto err;
 712
 713         if (!BN_uadd(r, tmp, r))
 714                 goto err;
 715         top = r->top;
 716         r_d = r->d;
 717         if (top == BN_NIST_521_TOP  &&
 718            (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
 719                 {
 720                 BN_NIST_ADD_ONE(r_d)
 721                 r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
 722                 }
 723         bn_correct_top(r);
 724
 725         ret = 1;
 726 err:
 727         BN_CTX_end(ctx);
 728
 729         bn_check_top(r);
 730         return ret;
 731         }