crypto/bn/bn_nist.c

   1 /* crypto/bn/bn_nist.p */
   2 /* ====================================================================
   3  * Copyright (c) 1998-2002 The OpenSSL Project.  All rights reserved.
   4  *
   5  * Redistribution and use in source and binary forms, with or without
   6  * modification, are permitted provided that the following conditions
   7  * are met:
   8  *
   9  * 1. Redistributions of source code must retain the above copyright
  10  *    notice, this list of conditions and the following disclaimer.
  11  *
  12  * 2. Redistributions in binary form must reproduce the above copyright
  13  *    notice, this list of conditions and the following disclaimer in
  14  *    the documentation and/or other materials provided with the
  15  *    distribution.
  16  *
  17  * 3. All advertising materials mentioning features or use of this
  18  *    software must display the following acknowledgment:
  19  *    "This product includes software developed by the OpenSSL Project
  20  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  21  *
  22  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  23  *    endorse or promote products derived from this software without
  24  *    prior written permission. For written permission, please contact
  25  *    openssl-core@openssl.org.
  26  *
  27  * 5. Products derived from this software may not be called "OpenSSL"
  28  *    nor may "OpenSSL" appear in their names without prior written
  29  *    permission of the OpenSSL Project.
  30  *
  31  * 6. Redistributions of any form whatsoever must retain the following
  32  *    acknowledgment:
  33  *    "This product includes software developed by the OpenSSL Project
  34  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  35  *
  36  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  37  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  38  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  39  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  40  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  41  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  42  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  43  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  44  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  45  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  46  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  47  * OF THE POSSIBILITY OF SUCH DAMAGE.
  48  * ====================================================================
  49  *
  50  * This product includes cryptographic software written by Eric Young
  51  * (eay@cryptsoft.com).  This product includes software written by Tim
  52  * Hudson (tjh@cryptsoft.com).
  53  *
  54  */
  55
  56 #include "bn_lcl.h"
  57 #include "cryptlib.h"
  58
  59 #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
  60 #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
  61 #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
  62 #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
  63 #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
  64
  65 #if BN_BITS2 == 64
  66 const static BN_ULONG _nist_p_192[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFE,
  67         0xFFFFFFFFFFFFFFFF};
  68 const static BN_ULONG _nist_p_224[] = {0x0000000000000001,0xFFFFFFFF00000000,
  69         0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF};
  70 const static BN_ULONG _nist_p_256[] = {0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF,
  71         0x0000000000000000,0xFFFFFFFF00000001};
  72 const static BN_ULONG _nist_p_384[] = {0x00000000FFFFFFFF,0xFFFFFFFF00000000,
  73         0xFFFFFFFFFFFFFFFE,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
  74         0xFFFFFFFFFFFFFFFF};
  75 const static BN_ULONG _nist_p_521[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
  76         0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
  77         0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
  78         0x00000000000001FF};
  79 #elif BN_BITS2 == 32
  80 const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
  81         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  82 const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
  83         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  84 const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  85         0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
  86 const static BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
  87         0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  88         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  89 const static BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  90         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  91         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  92         0xFFFFFFFF,0x000001FF};
  93 #elif BN_BITS2 == 16
  94 const static BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
  95         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
  96 const static BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
  97         0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
  98 const static BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
  99         0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
 100         0xFFFF};
 101 const static BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
 102         0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 103         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 104 const static BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 105         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 106         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 107         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
 108 #elif BN_BITS2 == 8
 109 const static BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 110         0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 111         0xFF,0xFF};
 112 const static BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 113         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 114         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 115 const static BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 116         0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 117         0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
 118 const static BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
 119         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
 120         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 121         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 122 const static BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 123         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 124         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 125         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 126         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 127         0xFF,0x01};
 128 #endif
 129
 130 const BIGNUM *BN_get0_nist_prime_192(void)
 131         {
 132         static BIGNUM const_nist_192={(BN_ULONG *)_nist_p_192,BN_NIST_192_TOP,
 133                 BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA};
 134         return &const_nist_192;
 135         }
 136
 137 const BIGNUM *BN_get0_nist_prime_224(void)
 138         {
 139         static BIGNUM const_nist_224={(BN_ULONG *)_nist_p_224,BN_NIST_224_TOP,
 140                 BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA};
 141         return &const_nist_224;
 142         }
 143
 144 const BIGNUM *BN_get0_nist_prime_256(void)
 145         {
 146         static BIGNUM const_nist_256={(BN_ULONG *)_nist_p_256,BN_NIST_256_TOP,
 147                 BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA};
 148         return &const_nist_256;
 149         }
 150
 151 const BIGNUM *BN_get0_nist_prime_384(void)
 152         {
 153         static BIGNUM const_nist_384={(BN_ULONG *)_nist_p_384,BN_NIST_384_TOP,
 154                 BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA};
 155         return &const_nist_384;
 156         }
 157
 158 const BIGNUM *BN_get0_nist_prime_521(void)
 159         {
 160         static BIGNUM const_nist_521={(BN_ULONG *)_nist_p_521,BN_NIST_521_TOP,
 161                 BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA};
 162         return &const_nist_521;
 163         }
 164
 165 /* some misc internal functions */
 166 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
 167 static int _is_set_256_data = 0;
 168 static void _init_256_data(void);
 169
 170 static BN_ULONG _384_data[BN_NIST_384_TOP*8];
 171 static int _is_set_384_data = 0;
 172 static void _init_384_data(void);
 173
 174 #define BN_NIST_ADD_ONE(a)      while (!(++(*(a)))) ++(a);
 175 #define __buf_0                 (BN_ULONG)0
 176 #define __buf_0_1               (BN_ULONG)0
 177 #define __buf_0_2               (BN_ULONG)0
 178 #if BN_BITS2 == 64
 179 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 180 #define BN_CP_64_TO_BUF(n)      __buf_##n = (a)[(n)];
 181 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 182 #define BN_CASE_64_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 183 #if     UINT_MAX == 4294967295UL
 184 #define nist32  unsigned int
 185 #define BN_32_BIT_BUF(n)        nist32 __buf_##n = (nist32)0;
 186 #define BN_CP_32_TO_BUF(n)      __buf_##n = ((nist32 *)(a))[(n)];
 187 #define BN_CP_32_FROM_BUF(a,n)  *((nist32)(a))++ = __buf_##n;
 188 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = ((nist32)(a))[(n)];
 189 #elif   ULONG_MAX == 4294967295UL
 190 #define nist32  unsigned long
 191 #define BN_32_BIT_BUF(n)        nist32 __buf_##n = (nist32)0;
 192 #define BN_CP_32_TO_BUF(n)      __buf_##n = ((nist32 *)(a))[(n)];
 193 #define BN_CP_32_FROM_BUF(a,n)  *((nist32)(a))++ = __buf_##n;
 194 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = ((nist32)(a))[(n)];
 195 #else
 196 #define NO_32_BIT_TYPE
 197 #endif
 198 #elif BN_BITS2 == 32
 199 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 200                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 201 #define BN_CP_64_TO_BUF(n)      __buf_##n##_2 = (a)[2*(n)+1];\
 202                                 __buf_##n##_1 = (a)[2*(n)];
 203 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 204                                 *(a)++ = __buf_##n##_2;
 205 #define BN_CASE_64_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 206                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 207
 208 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 209 #define BN_CP_32_TO_BUF(n)      __buf_##n = (a)[(n)];
 210 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 211 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 212 #elif BN_BITS2 == 16
 213 #define __buf_0_3               (BN_ULONG)0
 214 #define __buf_0_4               (BN_ULONG)0
 215 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 216                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 217                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 218                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 219 #define BN_CP_64_TO_BUF(n)      __buf_##n##_4 = (a)[4*(n)+3];\
 220                                 __buf_##n##_3 = (a)[4*(n)+2];\
 221                                 __buf_##n##_2 = (a)[4*(n)+1];\
 222                                 __buf_##n##_1 = (a)[4*(n)];
 223 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 224                                 *(a)++ = __buf_##n##_2;\
 225                                 *(a)++ = __buf_##n##_3;\
 226                                 *(a)++ = __buf_##n##_4;
 227 #define BN_CASE_64_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 228                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 229                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 230                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 231 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 232                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 233 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[2*(n)];\
 234                                 __buf_##n##_2 = (a)[2*(n)+1];
 235 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 236                                 *(a)++ = __buf_##n##_2;
 237 #define BN_CASE_32_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 238                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 239 #elif BN_BITS2 == 8
 240 #define __buf_0_3               (BN_ULONG)0
 241 #define __buf_0_4               (BN_ULONG)0
 242 #define __buf_0_5               (BN_ULONG)0
 243 #define __buf_0_6               (BN_ULONG)0
 244 #define __buf_0_7               (BN_ULONG)0
 245 #define __buf_0_8               (BN_ULONG)0
 246 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 247                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 248                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 249                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
 250                                 BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
 251                                 BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
 252                                 BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
 253                                 BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
 254 #define BN_CP_64_TO_BUF(n)      __buf_##n##_8 = (a)[8*(n)+7];\
 255                                 __buf_##n##_7 = (a)[8*(n)+6];\
 256                                 __buf_##n##_6 = (a)[8*(n)+5];\
 257                                 __buf_##n##_5 = (a)[8*(n)+4];\
 258                                 __buf_##n##_4 = (a)[8*(n)+3];\
 259                                 __buf_##n##_3 = (a)[8*(n)+2];\
 260                                 __buf_##n##_2 = (a)[8*(n)+1];\
 261                                 __buf_##n##_1 = (a)[8*(n)];
 262 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 263                                 *(a)++ = __buf_##n##_2;\
 264                                 *(a)++ = __buf_##n##_3;\
 265                                 *(a)++ = __buf_##n##_4;\
 266                                 *(a)++ = __buf_##n##_5;\
 267                                 *(a)++ = __buf_##n##_6;\
 268                                 *(a)++ = __buf_##n##_7;\
 269                                 *(a)++ = __buf_##n##_8;
 270 #define BN_CASE_64_BIT(n,a)     case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
 271                                 case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
 272                                 case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
 273                                 case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
 274                                 case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
 275                                 case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
 276                                 case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
 277                                 case 8*(n):   __buf_##n##_1 = (a)[8*(n)];
 278 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 279                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 280                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 281                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 282 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[4*(n)];\
 283                                 __buf_##n##_2 = (a)[4*(n)+1];\
 284                                 __buf_##n##_3 = (a)[4*(n)+2];\
 285                                 __buf_##n##_4 = (a)[4*(n)+3];
 286 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 287                                 *(a)++ = __buf_##n##_2;\
 288                                 *(a)++ = __buf_##n##_3;\
 289                                 *(a)++ = __buf_##n##_4;
 290 #define BN_CASE_32_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 291                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 292                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 293                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 294 #endif
 295
 296
 297 #define BN_192_SET(d,a1,a2,a3) \
 298         {\
 299         register BN_ULONG *td = (d);\
 300         BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
 301         BN_CP_64_FROM_BUF(td,a1);\
 302         }
 303
 304 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 305         BN_CTX *ctx)
 306         {
 307         int      top;
 308         BN_ULONG carry = 0;
 309         register BN_ULONG *r_d, *a_d;
 310         BN_ULONG t_d[BN_NIST_192_TOP];
 311         BN_64_BIT_BUF(3)  BN_64_BIT_BUF(4)
 312         BN_64_BIT_BUF(5)
 313
 314         top = BN_ucmp(field, a);
 315         if (top == 0)
 316                 return BN_zero(r);
 317         else if (top > 0)
 318                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 319
 320         if (r != a)
 321                 if (!BN_ncopy(r, a, BN_NIST_192_TOP))
 322                         return 0;
 323
 324         r_d = r->d;
 325         a_d = a->d;
 326         top = a->top-1;
 327
 328         switch (top)
 329                 {
 330                 BN_CASE_64_BIT(5, a_d)
 331                 BN_CASE_64_BIT(4, a_d)
 332                 BN_CASE_64_BIT(3, a_d)
 333                         break;
 334                 default: /* a->top == field->top */
 335                         return BN_usub(r, a, field);
 336                 }
 337
 338         BN_192_SET(t_d,0,3,3)
 339         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 340                 ++carry;
 341
 342         BN_192_SET(t_d,4,4,0)
 343         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 344                 ++carry;
 345
 346         BN_192_SET(t_d,5,5,5)
 347         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 348                 ++carry;
 349
 350         while (carry)
 351                 {
 352                 if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
 353                         --carry;
 354                 }
 355         r->top = BN_NIST_192_TOP;
 356
 357 #if 1
 358         bn_clear_top2max(r);
 359 #endif
 360         bn_fix_top(r);
 361
 362         if (BN_ucmp(r, field) >= 0)
 363                 {
 364                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 365                 bn_fix_top(r);
 366                 }
 367
 368         return 1;
 369         }
 370
 371 #define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
 372         {\
 373         register BN_ULONG *td = (d);\
 374         BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
 375         BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
 376         BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
 377         BN_CP_32_FROM_BUF(td,a1);\
 378         }
 379
 380 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 381         BN_CTX *ctx)
 382         {
 383 #ifndef NO_32_BIT_TYPE
 384         int     tmp_int;
 385         int     carry = 0;
 386         BN_ULONG *r_d, *a_d;
 387         BN_ULONG t_d[BN_NIST_224_TOP];
 388         BN_32_BIT_BUF(7)  BN_32_BIT_BUF(8)
 389         BN_32_BIT_BUF(9)  BN_32_BIT_BUF(10)
 390         BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
 391         BN_32_BIT_BUF(13)
 392
 393         tmp_int = BN_ucmp(field, a);
 394         if (tmp_int == 0)
 395                 return BN_zero(r);
 396         else if (tmp_int > 0)
 397                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 398
 399         if (r != a)
 400                 if (!BN_ncopy(r, a, BN_NIST_224_TOP))
 401                         return 0;
 402
 403         r_d = r->d;
 404         a_d = a->d;
 405
 406         tmp_int = a->top-1;
 407
 408         switch (tmp_int)
 409                 {
 410                 BN_CASE_32_BIT(13, a_d)
 411                 BN_CASE_32_BIT(12, a_d)
 412                 BN_CASE_32_BIT(11, a_d)
 413                 BN_CASE_32_BIT(10, a_d)
 414                 BN_CASE_32_BIT(9,  a_d)
 415                 BN_CASE_32_BIT(8,  a_d)
 416                 BN_CASE_32_BIT(7,  a_d)
 417                         break;
 418                 default: /* a->top == field->top */
 419                         return BN_usub(r, a, field);
 420                 }
 421
 422         BN_224_SET(t_d,10,9,8,7,0,0,0)
 423         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 424                 ++carry;
 425         BN_224_SET(t_d,0,13,12,11,0,0,0)
 426         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 427                 ++carry;
 428         BN_224_SET(t_d,13,12,11,10,9,8,7)
 429         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 430                 --carry;
 431         BN_224_SET(t_d,0,0,0,0,13,12,11)
 432         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 433                 --carry;
 434
 435         if (carry > 0)
 436                 while (carry)
 437                         {
 438                         if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 439                                 --carry;
 440                         }
 441         else if (carry < 0)
 442                 while (carry)
 443                         {
 444                         if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 445                                 ++carry;
 446                         }
 447
 448         r->top = BN_NIST_224_TOP;
 449 #if 1
 450         bn_clear_top2max(r);
 451 #endif
 452         bn_fix_top(r);
 453
 454         if (BN_ucmp(r, field) >= 0)
 455                 {
 456                 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
 457                 bn_fix_top(r);
 458                 }
 459         return 1;
 460 #else
 461         return 0;
 462 #endif
 463         }
 464
 465 static void _init_256_data(void)
 466         {
 467         int     i;
 468         BN_ULONG *tmp1 = _256_data;
 469         const BN_ULONG *tmp2 = tmp1;
 470
 471         memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
 472         tmp1 += BN_NIST_256_TOP;
 473
 474         for (i=0; i<5; i++)
 475                 {
 476                 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
 477                 tmp2  = tmp1;
 478                 tmp1 += BN_NIST_256_TOP;
 479                 }
 480         _is_set_256_data = 1;
 481         }
 482
 483 #define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
 484         {\
 485         register BN_ULONG *td = (d);\
 486         BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
 487         BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
 488         BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
 489         BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
 490         }
 491
 492 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 493         BN_CTX *ctx)
 494         {
 495 #ifndef NO_32_BIT_TYPE
 496         int     tmp_int;
 497         int     carry = 0;
 498         register BN_ULONG *a_d, *r_d;
 499         BN_ULONG t_d[BN_NIST_256_TOP];
 500         BN_ULONG t_d2[BN_NIST_256_TOP];
 501         BN_32_BIT_BUF(8)  BN_32_BIT_BUF(9)
 502         BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
 503         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 504         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 505
 506         if (!_is_set_256_data)
 507                 {
 508                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 509
 510                 if (!_is_set_256_data)
 511                         _init_256_data();
 512
 513                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 514                 }
 515
 516         tmp_int = BN_ucmp(field, a);
 517         if (tmp_int == 0)
 518                 return BN_zero(r);
 519         else if (tmp_int > 0)
 520                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 521
 522         if (r != a)
 523                 if (!BN_ncopy(r, a, BN_NIST_256_TOP))
 524                         return 0;
 525
 526         tmp_int = a->top-1;
 527
 528         a_d = a->d;
 529         r_d = r->d;
 530         switch (tmp_int)
 531                 {
 532                 BN_CASE_32_BIT(15, a_d)
 533                 BN_CASE_32_BIT(14, a_d)
 534                 BN_CASE_32_BIT(13, a_d)
 535                 BN_CASE_32_BIT(12, a_d)
 536                 BN_CASE_32_BIT(11, a_d)
 537                 BN_CASE_32_BIT(10, a_d)
 538                 BN_CASE_32_BIT(9,  a_d)
 539                 BN_CASE_32_BIT(8,  a_d)
 540                         break;
 541                 default: /* a->top == field->top */
 542                         return BN_usub(r, a, field);
 543                 }
 544
 545         /*S1*/
 546         BN_256_SET(t_d,15,14,13,12,11,0,0,0)
 547         /*S2*/
 548         BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
 549         if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
 550                 carry = 2;
 551         /* left shift */
 552                 {
 553                 register BN_ULONG *ap,t,c;
 554                 ap = t_d;
 555                 c=0;
 556                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 557                         {
 558                         t= *ap;
 559                         *(ap++)=((t<<1)|c)&BN_MASK2;
 560                         c=(t & BN_TBIT)?1:0;
 561                         }
 562                 if (c)
 563                         ++carry;
 564                 }
 565
 566         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 567                 ++carry;
 568         /*S3*/
 569         BN_256_SET(t_d,15,14,0,0,0,10,9,8)
 570         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 571                 ++carry;
 572         /*S4*/
 573         BN_256_SET(t_d,8,13,15,14,13,11,10,9)
 574         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 575                 ++carry;
 576         /*D1*/
 577         BN_256_SET(t_d,10,8,0,0,0,13,12,11)
 578         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 579                 --carry;
 580         /*D2*/
 581         BN_256_SET(t_d,11,9,0,0,15,14,13,12)
 582         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 583                 --carry;
 584         /*D3*/
 585         BN_256_SET(t_d,12,0,10,9,8,15,14,13)
 586         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 587                 --carry;
 588         /*D4*/
 589         BN_256_SET(t_d,13,0,11,10,9,0,15,14)
 590         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 591                 --carry;
 592
 593         if (carry)
 594                 {
 595                 if (carry > 0)
 596                         bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 597                                 --carry, BN_NIST_256_TOP);
 598                 else
 599                         {
 600                         carry = -carry;
 601                         bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 602                                 --carry, BN_NIST_256_TOP);
 603                         }
 604                 }
 605
 606         r->top = BN_NIST_256_TOP;
 607 #if 1
 608         bn_clear_top2max(r);
 609 #endif
 610         bn_fix_top(r);
 611
 612         if (BN_ucmp(r, field) >= 0)
 613                 {
 614                 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
 615                 bn_fix_top(r);
 616                 }
 617         return 1;
 618 #else
 619         return 0;
 620 #endif
 621         }
 622
 623 static void _init_384_data(void)
 624         {
 625         int     i;
 626         BN_ULONG *tmp1 = _384_data;
 627         const BN_ULONG *tmp2 = tmp1;
 628
 629         memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
 630         tmp1 += BN_NIST_384_TOP;
 631
 632         for (i=0; i<7; i++)
 633                 {
 634                 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
 635                 tmp2  = tmp1;
 636                 tmp1 += BN_NIST_384_TOP;
 637                 }
 638         _is_set_384_data = 1;
 639         }
 640
 641 #define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
 642         {\
 643         register BN_ULONG *td = (d);\
 644         BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
 645         BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
 646         BN_CP_32_FROM_BUF(td,a8);  BN_CP_32_FROM_BUF(td,a7);\
 647         BN_CP_32_FROM_BUF(td,a6);  BN_CP_32_FROM_BUF(td,a5);\
 648         BN_CP_32_FROM_BUF(td,a4);  BN_CP_32_FROM_BUF(td,a3);\
 649         BN_CP_32_FROM_BUF(td,a2);  BN_CP_32_FROM_BUF(td,a1);\
 650         }
 651
 652 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 653         BN_CTX *ctx)
 654         {
 655 #ifndef NO_32_BIT_TYPE
 656         int     tmp_int;
 657         int     carry = 0;
 658         register BN_ULONG *r_d, *a_d;
 659         BN_ULONG t_d[BN_NIST_384_TOP];
 660         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 661         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 662         BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
 663         BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
 664         BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
 665         BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
 666
 667         if (!_is_set_384_data)
 668                 {
 669                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 670
 671                 if (!_is_set_384_data)
 672                         _init_384_data();
 673
 674                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 675                 }
 676
 677         tmp_int = BN_ucmp(field, a);
 678         if (tmp_int == 0)
 679                 return BN_zero(r);
 680         else if (tmp_int > 0)
 681                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 682
 683         if (r != a)
 684                 if (!BN_ncopy(r, a, BN_NIST_384_TOP))
 685                         return 0;
 686
 687         r_d = r->d;
 688         a_d = a->d;
 689         tmp_int = a->top-1;
 690
 691         switch (tmp_int)
 692                 {
 693                 BN_CASE_32_BIT(23, a_d)
 694                 BN_CASE_32_BIT(22, a_d)
 695                 BN_CASE_32_BIT(21, a_d)
 696                 BN_CASE_32_BIT(20, a_d)
 697                 BN_CASE_32_BIT(19, a_d)
 698                 BN_CASE_32_BIT(18, a_d)
 699                 BN_CASE_32_BIT(17, a_d)
 700                 BN_CASE_32_BIT(16, a_d)
 701                 BN_CASE_32_BIT(15, a_d)
 702                 BN_CASE_32_BIT(14, a_d)
 703                 BN_CASE_32_BIT(13, a_d)
 704                 BN_CASE_32_BIT(12, a_d)
 705                         break;
 706                 default: /* a->top == field->top */
 707                         return BN_usub(r, a, field);
 708                 }
 709
 710         /*S1*/
 711         BN_256_SET(t_d,0,0,0,0,0,23,22,21)
 712                 /* left shift */
 713                 {
 714                 register BN_ULONG *ap,t,c;
 715                 ap = t_d;
 716                 c=0;
 717                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 718                         {
 719                         t= *ap;
 720                         *(ap++)=((t<<1)|c)&BN_MASK2;
 721                         c=(t & BN_TBIT)?1:0;
 722                         }
 723                 }
 724         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 725                 t_d, BN_NIST_256_TOP))
 726                 ++carry;
 727         /*S2*/
 728         BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
 729         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 730                 ++carry;
 731         /*S3*/
 732         BN_384_SET(t_d,20,19,18,17,16,15,14,13,12,23,22,21)
 733         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 734                 ++carry;
 735         /*S4*/
 736         BN_384_SET(t_d,19,18,17,16,15,14,13,12,20,0,23,0)
 737         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 738                 ++carry;
 739         /*S5*/
 740         BN_256_SET(t_d,0,0,0,0,23,22,21,20)
 741         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 742                 t_d, BN_NIST_256_TOP))
 743                 ++carry;
 744         /*S6*/
 745         BN_384_SET(t_d,0,0,0,0,0,0,23,22,21,0,0,20)
 746         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 747                 ++carry;
 748         /*D1*/
 749         BN_384_SET(t_d,22,21,20,19,18,17,16,15,14,13,12,23)
 750         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 751                 --carry;
 752         /*D2*/
 753         BN_384_SET(t_d,0,0,0,0,0,0,0,23,22,21,20,0)
 754         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 755                 --carry;
 756         /*D3*/
 757         BN_384_SET(t_d,0,0,0,0,0,0,0,23,23,0,0,0)
 758         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 759                 --carry;
 760
 761         if (carry)
 762                 {
 763                 if (carry > 0)
 764                         bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 765                                 --carry, BN_NIST_384_TOP);
 766                 else
 767                         {
 768                         carry = -carry;
 769                         bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 770                                 --carry, BN_NIST_384_TOP);
 771                         }
 772                 }
 773
 774         r->top = BN_NIST_384_TOP;
 775 #if 1
 776         bn_clear_top2max(r);
 777 #endif
 778         bn_fix_top(r);
 779
 780         if (BN_ucmp(r, field) >= 0)
 781                 {
 782                 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
 783                 bn_fix_top(r);
 784                 }
 785         return 1;
 786 #else
 787         return 0;
 788 #endif
 789         }
 790
 791 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 792         BN_CTX *ctx)
 793         {
 794 #if BN_BITS2 == 64
 795 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 796 #elif BN_BITS2 == 32
 797 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 798 #elif BN_BITS2 == 16
 799 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 800 #elif BN_BITS2 == 8
 801 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1
 802 #endif
 803         int     top, ret = 0;
 804         BN_ULONG *r_d;
 805         BIGNUM  *tmp;
 806
 807         /* check whether a reduction is necessary */
 808         top = a->top;
 809         if (top < BN_NIST_521_TOP  || ( top == BN_NIST_521_TOP &&
 810            (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
 811                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 812
 813         BN_CTX_start(ctx);
 814         tmp = BN_CTX_get(ctx);
 815         if (!tmp)
 816                 goto err;
 817
 818         if (!BN_ncopy(tmp, a, BN_NIST_521_TOP))
 819                 return 0;
 820         if (!BN_rshift(r, a, 521))
 821                 return 0;
 822
 823         if (tmp->top == BN_NIST_521_TOP)
 824                 tmp->d[BN_NIST_521_TOP-1]  &= BN_NIST_521_TOP_MASK;
 825
 826         bn_fix_top(tmp);
 827         if (!BN_uadd(r, tmp, r))
 828                 return 0;
 829         top = r->top;
 830         r_d = r->d;
 831         if (top == BN_NIST_521_TOP  &&
 832            (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
 833                 {
 834                 BN_NIST_ADD_ONE(r_d)
 835                 r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
 836                 }
 837         bn_fix_top(r);
 838
 839         ret = 1;
 840 err:
 841         BN_CTX_end(ctx);
 842
 843         return ret;
 844         }