crypto/bn/bn_nist.c

   1 /* crypto/bn/bn_nist.c */
   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[] =
  67         {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
  68         0xFFFFFFFFFFFFFFFFULL};
  69 const static BN_ULONG _nist_p_224[] =
  70         {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
  71         0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
  72 const static BN_ULONG _nist_p_256[] =
  73         {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
  74         0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
  75 const static BN_ULONG _nist_p_384[] =
  76         {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
  77         0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
  78         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
  79 const static BN_ULONG _nist_p_521[] =
  80         {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  81         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  82         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  83         0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
  84         0x00000000000001FFULL};
  85 #elif BN_BITS2 == 32
  86 const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
  87         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  88 const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
  89         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  90 const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  91         0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
  92 const static BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
  93         0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  94         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
  95 const static BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  96         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  97         0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
  98         0xFFFFFFFF,0x000001FF};
  99 #elif BN_BITS2 == 16
 100 const static BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
 101         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 102 const static BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
 103         0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 104 const static BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 105         0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
 106         0xFFFF};
 107 const static BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
 108         0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 109         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
 110 const static BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 111         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 112         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
 113         0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
 114 #elif BN_BITS2 == 8
 115 const static BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 116         0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 117         0xFF,0xFF};
 118 const static BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 119         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 120         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 121 const static BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 122         0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
 123         0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
 124 const static BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
 125         0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
 126         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
 127         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
 128 const static BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,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,0xFF,0xFF,
 131         0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,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,0x01};
 134 #endif
 135
 136 const BIGNUM *BN_get0_nist_prime_192(void)
 137         {
 138         static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
 139                 BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
 140         return &const_nist_192;
 141         }
 142
 143 const BIGNUM *BN_get0_nist_prime_224(void)
 144         {
 145         static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
 146                 BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
 147         return &const_nist_224;
 148         }
 149
 150 const BIGNUM *BN_get0_nist_prime_256(void)
 151         {
 152         static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
 153                 BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
 154         return &const_nist_256;
 155         }
 156
 157 const BIGNUM *BN_get0_nist_prime_384(void)
 158         {
 159         static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
 160                 BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
 161         return &const_nist_384;
 162         }
 163
 164 const BIGNUM *BN_get0_nist_prime_521(void)
 165         {
 166         static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
 167                 BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
 168         return &const_nist_521;
 169         }
 170
 171 /* some misc internal functions */
 172 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
 173 static int _is_set_256_data = 0;
 174 static void _init_256_data(void);
 175
 176 static BN_ULONG _384_data[BN_NIST_384_TOP*8];
 177 static int _is_set_384_data = 0;
 178 static void _init_384_data(void);
 179
 180 #define BN_NIST_ADD_ONE(a)      while (!(++(*(a)))) ++(a);
 181 #define __buf_0                 (BN_ULONG)0
 182 #define __buf_0_1               (BN_ULONG)0
 183 #define __buf_0_2               (BN_ULONG)0
 184 #if BN_BITS2 == 64
 185 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 186 #define BN_CP_64_TO_BUF(n)      __buf_##n = (a)[(n)];
 187 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 188 #define BN_CASE_64_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 189 #if     UINT_MAX == 4294967295UL
 190 #define nist32  unsigned int
 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 #elif   ULONG_MAX == 4294967295UL
 196 #define nist32  unsigned long
 197 #define BN_32_BIT_BUF(n)        nist32 __buf_##n = (nist32)0;
 198 #define BN_CP_32_TO_BUF(n)      __buf_##n = ((nist32 *)(a))[(n)];
 199 #define BN_CP_32_FROM_BUF(a,n)  *((nist32)(a))++ = __buf_##n;
 200 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = ((nist32)(a))[(n)];
 201 #else
 202 #define NO_32_BIT_TYPE
 203 #endif
 204 #elif BN_BITS2 == 32
 205 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 206                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 207 #define BN_CP_64_TO_BUF(n)      __buf_##n##_2 = (a)[2*(n)+1];\
 208                                 __buf_##n##_1 = (a)[2*(n)];
 209 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 210                                 *(a)++ = __buf_##n##_2;
 211 #define BN_CASE_64_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 212                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 213
 214 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 215 #define BN_CP_32_TO_BUF(n)      __buf_##n = (a)[(n)];
 216 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 217 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 218 #elif BN_BITS2 == 16
 219 #define __buf_0_3               (BN_ULONG)0
 220 #define __buf_0_4               (BN_ULONG)0
 221 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 222                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 223                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 224                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 225 #define BN_CP_64_TO_BUF(n)      __buf_##n##_4 = (a)[4*(n)+3];\
 226                                 __buf_##n##_3 = (a)[4*(n)+2];\
 227                                 __buf_##n##_2 = (a)[4*(n)+1];\
 228                                 __buf_##n##_1 = (a)[4*(n)];
 229 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 230                                 *(a)++ = __buf_##n##_2;\
 231                                 *(a)++ = __buf_##n##_3;\
 232                                 *(a)++ = __buf_##n##_4;
 233 #define BN_CASE_64_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 234                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 235                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 236                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 237 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 238                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 239 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[2*(n)];\
 240                                 __buf_##n##_2 = (a)[2*(n)+1];
 241 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 242                                 *(a)++ = __buf_##n##_2;
 243 #define BN_CASE_32_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 244                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 245 #elif BN_BITS2 == 8
 246 #define __buf_0_3               (BN_ULONG)0
 247 #define __buf_0_4               (BN_ULONG)0
 248 #define __buf_0_5               (BN_ULONG)0
 249 #define __buf_0_6               (BN_ULONG)0
 250 #define __buf_0_7               (BN_ULONG)0
 251 #define __buf_0_8               (BN_ULONG)0
 252 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 253                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 254                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 255                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
 256                                 BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
 257                                 BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
 258                                 BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
 259                                 BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
 260 #define BN_CP_64_TO_BUF(n)      __buf_##n##_8 = (a)[8*(n)+7];\
 261                                 __buf_##n##_7 = (a)[8*(n)+6];\
 262                                 __buf_##n##_6 = (a)[8*(n)+5];\
 263                                 __buf_##n##_5 = (a)[8*(n)+4];\
 264                                 __buf_##n##_4 = (a)[8*(n)+3];\
 265                                 __buf_##n##_3 = (a)[8*(n)+2];\
 266                                 __buf_##n##_2 = (a)[8*(n)+1];\
 267                                 __buf_##n##_1 = (a)[8*(n)];
 268 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 269                                 *(a)++ = __buf_##n##_2;\
 270                                 *(a)++ = __buf_##n##_3;\
 271                                 *(a)++ = __buf_##n##_4;\
 272                                 *(a)++ = __buf_##n##_5;\
 273                                 *(a)++ = __buf_##n##_6;\
 274                                 *(a)++ = __buf_##n##_7;\
 275                                 *(a)++ = __buf_##n##_8;
 276 #define BN_CASE_64_BIT(n,a)     case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
 277                                 case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
 278                                 case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
 279                                 case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
 280                                 case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
 281                                 case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
 282                                 case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
 283                                 case 8*(n):   __buf_##n##_1 = (a)[8*(n)];
 284 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 285                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 286                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 287                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 288 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[4*(n)];\
 289                                 __buf_##n##_2 = (a)[4*(n)+1];\
 290                                 __buf_##n##_3 = (a)[4*(n)+2];\
 291                                 __buf_##n##_4 = (a)[4*(n)+3];
 292 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 293                                 *(a)++ = __buf_##n##_2;\
 294                                 *(a)++ = __buf_##n##_3;\
 295                                 *(a)++ = __buf_##n##_4;
 296 #define BN_CASE_32_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 297                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 298                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 299                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 300 #endif
 301
 302
 303 #define BN_192_SET(d,a1,a2,a3) \
 304         {\
 305         register BN_ULONG *td = (d);\
 306         BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
 307         BN_CP_64_FROM_BUF(td,a1);\
 308         }
 309
 310 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 311         BN_CTX *ctx)
 312         {
 313         int      top;
 314         BN_ULONG carry = 0;
 315         register BN_ULONG *r_d, *a_d;
 316         BN_ULONG t_d[BN_NIST_192_TOP];
 317         BN_64_BIT_BUF(3)  BN_64_BIT_BUF(4)
 318         BN_64_BIT_BUF(5)
 319
 320         top = BN_ucmp(field, a);
 321         if (top == 0)
 322                 return BN_zero(r);
 323         else if (top > 0)
 324                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 325
 326         if (r != a)
 327                 if (!BN_ncopy(r, a, BN_NIST_192_TOP))
 328                         return 0;
 329
 330         r_d = r->d;
 331         a_d = a->d;
 332         top = a->top-1;
 333
 334         switch (top)
 335                 {
 336                 BN_CASE_64_BIT(5, a_d)
 337                 BN_CASE_64_BIT(4, a_d)
 338                 BN_CASE_64_BIT(3, a_d)
 339                         break;
 340                 default: /* a->top == field->top */
 341                         return BN_usub(r, a, field);
 342                 }
 343
 344         BN_192_SET(t_d,0,3,3)
 345         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 346                 ++carry;
 347
 348         BN_192_SET(t_d,4,4,0)
 349         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 350                 ++carry;
 351
 352         BN_192_SET(t_d,5,5,5)
 353         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 354                 ++carry;
 355
 356         while (carry)
 357                 {
 358                 if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
 359                         --carry;
 360                 }
 361         r->top = BN_NIST_192_TOP;
 362         bn_correct_top(r);
 363         if (BN_ucmp(r, field) >= 0)
 364                 {
 365                 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
 366                 bn_correct_top(r);
 367                 }
 368
 369         bn_check_top(r);
 370         return 1;
 371         }
 372
 373 #define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
 374         {\
 375         register BN_ULONG *td = (d);\
 376         BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
 377         BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
 378         BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
 379         BN_CP_32_FROM_BUF(td,a1);\
 380         }
 381
 382 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 383         BN_CTX *ctx)
 384         {
 385 #ifndef NO_32_BIT_TYPE
 386         int     tmp_int;
 387         int     carry = 0;
 388         BN_ULONG *r_d, *a_d;
 389         BN_ULONG t_d[BN_NIST_224_TOP];
 390         BN_32_BIT_BUF(7)  BN_32_BIT_BUF(8)
 391         BN_32_BIT_BUF(9)  BN_32_BIT_BUF(10)
 392         BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
 393         BN_32_BIT_BUF(13)
 394
 395         tmp_int = BN_ucmp(field, a);
 396         if (tmp_int == 0)
 397                 return BN_zero(r);
 398         else if (tmp_int > 0)
 399                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 400
 401         if (r != a)
 402                 if (!BN_ncopy(r, a, BN_NIST_224_TOP))
 403                         return 0;
 404
 405         r_d = r->d;
 406         a_d = a->d;
 407
 408         tmp_int = a->top-1;
 409
 410         switch (tmp_int)
 411                 {
 412                 BN_CASE_32_BIT(13, a_d)
 413                 BN_CASE_32_BIT(12, a_d)
 414                 BN_CASE_32_BIT(11, a_d)
 415                 BN_CASE_32_BIT(10, a_d)
 416                 BN_CASE_32_BIT(9,  a_d)
 417                 BN_CASE_32_BIT(8,  a_d)
 418                 BN_CASE_32_BIT(7,  a_d)
 419                         break;
 420                 default: /* a->top == field->top */
 421                         return BN_usub(r, a, field);
 422                 }
 423
 424         BN_224_SET(t_d,10,9,8,7,0,0,0)
 425         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 426                 ++carry;
 427         BN_224_SET(t_d,0,13,12,11,0,0,0)
 428         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 429                 ++carry;
 430         BN_224_SET(t_d,13,12,11,10,9,8,7)
 431         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 432                 --carry;
 433         BN_224_SET(t_d,0,0,0,0,13,12,11)
 434         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 435                 --carry;
 436
 437         if (carry > 0)
 438                 while (carry)
 439                         {
 440                         if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 441                                 --carry;
 442                         }
 443         else if (carry < 0)
 444                 while (carry)
 445                         {
 446                         if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 447                                 ++carry;
 448                         }
 449
 450         r->top = BN_NIST_224_TOP;
 451         bn_correct_top(r);
 452         if (BN_ucmp(r, field) >= 0)
 453                 {
 454                 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
 455                 bn_correct_top(r);
 456                 }
 457         bn_check_top(r);
 458         return 1;
 459 #else
 460         return 0;
 461 #endif
 462         }
 463
 464 static void _init_256_data(void)
 465         {
 466         int     i;
 467         BN_ULONG *tmp1 = _256_data;
 468         const BN_ULONG *tmp2 = tmp1;
 469
 470         memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
 471         tmp1 += BN_NIST_256_TOP;
 472
 473         for (i=0; i<5; i++)
 474                 {
 475                 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
 476                 tmp2  = tmp1;
 477                 tmp1 += BN_NIST_256_TOP;
 478                 }
 479         _is_set_256_data = 1;
 480         }
 481
 482 #define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
 483         {\
 484         register BN_ULONG *td = (d);\
 485         BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
 486         BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
 487         BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
 488         BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
 489         }
 490
 491 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 492         BN_CTX *ctx)
 493         {
 494 #ifndef NO_32_BIT_TYPE
 495         int     tmp_int;
 496         int     carry = 0;
 497         register BN_ULONG *a_d, *r_d;
 498         BN_ULONG t_d[BN_NIST_256_TOP];
 499         BN_ULONG t_d2[BN_NIST_256_TOP];
 500         BN_32_BIT_BUF(8)  BN_32_BIT_BUF(9)
 501         BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
 502         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 503         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 504
 505         if (!_is_set_256_data)
 506                 {
 507                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 508
 509                 if (!_is_set_256_data)
 510                         _init_256_data();
 511
 512                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 513                 }
 514
 515         tmp_int = BN_ucmp(field, a);
 516         if (tmp_int == 0)
 517                 return BN_zero(r);
 518         else if (tmp_int > 0)
 519                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 520
 521         if (r != a)
 522                 if (!BN_ncopy(r, a, BN_NIST_256_TOP))
 523                         return 0;
 524
 525         tmp_int = a->top-1;
 526
 527         a_d = a->d;
 528         r_d = r->d;
 529         switch (tmp_int)
 530                 {
 531                 BN_CASE_32_BIT(15, a_d)
 532                 BN_CASE_32_BIT(14, a_d)
 533                 BN_CASE_32_BIT(13, a_d)
 534                 BN_CASE_32_BIT(12, a_d)
 535                 BN_CASE_32_BIT(11, a_d)
 536                 BN_CASE_32_BIT(10, a_d)
 537                 BN_CASE_32_BIT(9,  a_d)
 538                 BN_CASE_32_BIT(8,  a_d)
 539                         break;
 540                 default: /* a->top == field->top */
 541                         return BN_usub(r, a, field);
 542                 }
 543
 544         /*S1*/
 545         BN_256_SET(t_d,15,14,13,12,11,0,0,0)
 546         /*S2*/
 547         BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
 548         if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
 549                 carry = 2;
 550         /* left shift */
 551                 {
 552                 register BN_ULONG *ap,t,c;
 553                 ap = t_d;
 554                 c=0;
 555                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 556                         {
 557                         t= *ap;
 558                         *(ap++)=((t<<1)|c)&BN_MASK2;
 559                         c=(t & BN_TBIT)?1:0;
 560                         }
 561                 if (c)
 562                         ++carry;
 563                 }
 564
 565         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 566                 ++carry;
 567         /*S3*/
 568         BN_256_SET(t_d,15,14,0,0,0,10,9,8)
 569         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 570                 ++carry;
 571         /*S4*/
 572         BN_256_SET(t_d,8,13,15,14,13,11,10,9)
 573         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 574                 ++carry;
 575         /*D1*/
 576         BN_256_SET(t_d,10,8,0,0,0,13,12,11)
 577         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 578                 --carry;
 579         /*D2*/
 580         BN_256_SET(t_d,11,9,0,0,15,14,13,12)
 581         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 582                 --carry;
 583         /*D3*/
 584         BN_256_SET(t_d,12,0,10,9,8,15,14,13)
 585         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 586                 --carry;
 587         /*D4*/
 588         BN_256_SET(t_d,13,0,11,10,9,0,15,14)
 589         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 590                 --carry;
 591
 592         if (carry)
 593                 {
 594                 if (carry > 0)
 595                         bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 596                                 --carry, BN_NIST_256_TOP);
 597                 else
 598                         {
 599                         carry = -carry;
 600                         bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 601                                 --carry, BN_NIST_256_TOP);
 602                         }
 603                 }
 604
 605         r->top = BN_NIST_256_TOP;
 606         bn_correct_top(r);
 607         if (BN_ucmp(r, field) >= 0)
 608                 {
 609                 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
 610                 bn_correct_top(r);
 611                 }
 612         bn_check_top(r);
 613         return 1;
 614 #else
 615         return 0;
 616 #endif
 617         }
 618
 619 static void _init_384_data(void)
 620         {
 621         int     i;
 622         BN_ULONG *tmp1 = _384_data;
 623         const BN_ULONG *tmp2 = tmp1;
 624
 625         memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
 626         tmp1 += BN_NIST_384_TOP;
 627
 628         for (i=0; i<7; i++)
 629                 {
 630                 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
 631                 tmp2  = tmp1;
 632                 tmp1 += BN_NIST_384_TOP;
 633                 }
 634         _is_set_384_data = 1;
 635         }
 636
 637 #define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
 638         {\
 639         register BN_ULONG *td = (d);\
 640         BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
 641         BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
 642         BN_CP_32_FROM_BUF(td,a8);  BN_CP_32_FROM_BUF(td,a7);\
 643         BN_CP_32_FROM_BUF(td,a6);  BN_CP_32_FROM_BUF(td,a5);\
 644         BN_CP_32_FROM_BUF(td,a4);  BN_CP_32_FROM_BUF(td,a3);\
 645         BN_CP_32_FROM_BUF(td,a2);  BN_CP_32_FROM_BUF(td,a1);\
 646         }
 647
 648 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 649         BN_CTX *ctx)
 650         {
 651 #ifndef NO_32_BIT_TYPE
 652         int     tmp_int;
 653         int     carry = 0;
 654         register BN_ULONG *r_d, *a_d;
 655         BN_ULONG t_d[BN_NIST_384_TOP];
 656         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 657         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 658         BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
 659         BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
 660         BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
 661         BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
 662
 663         if (!_is_set_384_data)
 664                 {
 665                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 666
 667                 if (!_is_set_384_data)
 668                         _init_384_data();
 669
 670                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 671                 }
 672
 673         tmp_int = BN_ucmp(field, a);
 674         if (tmp_int == 0)
 675                 return BN_zero(r);
 676         else if (tmp_int > 0)
 677                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 678
 679         if (r != a)
 680                 if (!BN_ncopy(r, a, BN_NIST_384_TOP))
 681                         return 0;
 682
 683         r_d = r->d;
 684         a_d = a->d;
 685         tmp_int = a->top-1;
 686
 687         switch (tmp_int)
 688                 {
 689                 BN_CASE_32_BIT(23, a_d)
 690                 BN_CASE_32_BIT(22, a_d)
 691                 BN_CASE_32_BIT(21, a_d)
 692                 BN_CASE_32_BIT(20, a_d)
 693                 BN_CASE_32_BIT(19, a_d)
 694                 BN_CASE_32_BIT(18, a_d)
 695                 BN_CASE_32_BIT(17, a_d)
 696                 BN_CASE_32_BIT(16, a_d)
 697                 BN_CASE_32_BIT(15, a_d)
 698                 BN_CASE_32_BIT(14, a_d)
 699                 BN_CASE_32_BIT(13, a_d)
 700                 BN_CASE_32_BIT(12, a_d)
 701                         break;
 702                 default: /* a->top == field->top */
 703                         return BN_usub(r, a, field);
 704                 }
 705
 706         /*S1*/
 707         BN_256_SET(t_d,0,0,0,0,0,23,22,21)
 708                 /* left shift */
 709                 {
 710                 register BN_ULONG *ap,t,c;
 711                 ap = t_d;
 712                 c=0;
 713                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 714                         {
 715                         t= *ap;
 716                         *(ap++)=((t<<1)|c)&BN_MASK2;
 717                         c=(t & BN_TBIT)?1:0;
 718                         }
 719                 }
 720         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 721                 t_d, BN_NIST_256_TOP))
 722                 ++carry;
 723         /*S2*/
 724         BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
 725         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 726                 ++carry;
 727         /*S3*/
 728         BN_384_SET(t_d,20,19,18,17,16,15,14,13,12,23,22,21)
 729         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 730                 ++carry;
 731         /*S4*/
 732         BN_384_SET(t_d,19,18,17,16,15,14,13,12,20,0,23,0)
 733         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 734                 ++carry;
 735         /*S5*/
 736         BN_256_SET(t_d,0,0,0,0,23,22,21,20)
 737         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 738                 t_d, BN_NIST_256_TOP))
 739                 ++carry;
 740         /*S6*/
 741         BN_384_SET(t_d,0,0,0,0,0,0,23,22,21,0,0,20)
 742         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 743                 ++carry;
 744         /*D1*/
 745         BN_384_SET(t_d,22,21,20,19,18,17,16,15,14,13,12,23)
 746         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 747                 --carry;
 748         /*D2*/
 749         BN_384_SET(t_d,0,0,0,0,0,0,0,23,22,21,20,0)
 750         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 751                 --carry;
 752         /*D3*/
 753         BN_384_SET(t_d,0,0,0,0,0,0,0,23,23,0,0,0)
 754         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 755                 --carry;
 756
 757         if (carry)
 758                 {
 759                 if (carry > 0)
 760                         bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 761                                 --carry, BN_NIST_384_TOP);
 762                 else
 763                         {
 764                         carry = -carry;
 765                         bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 766                                 --carry, BN_NIST_384_TOP);
 767                         }
 768                 }
 769
 770         r->top = BN_NIST_384_TOP;
 771         bn_correct_top(r);
 772         if (BN_ucmp(r, field) >= 0)
 773                 {
 774                 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
 775                 bn_correct_top(r);
 776                 }
 777         bn_check_top(r);
 778         return 1;
 779 #else
 780         return 0;
 781 #endif
 782         }
 783
 784 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 785         BN_CTX *ctx)
 786         {
 787 #if BN_BITS2 == 64
 788 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 789 #elif BN_BITS2 == 32
 790 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 791 #elif BN_BITS2 == 16
 792 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 793 #elif BN_BITS2 == 8
 794 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1
 795 #endif
 796         int     top, ret = 0;
 797         BN_ULONG *r_d;
 798         BIGNUM  *tmp;
 799
 800         /* check whether a reduction is necessary */
 801         top = a->top;
 802         if (top < BN_NIST_521_TOP  || ( top == BN_NIST_521_TOP &&
 803            (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
 804                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 805
 806         BN_CTX_start(ctx);
 807         tmp = BN_CTX_get(ctx);
 808         if (!tmp)
 809                 goto err;
 810
 811         if (!BN_ncopy(tmp, a, BN_NIST_521_TOP))
 812                 return 0;
 813         if (!BN_rshift(r, a, 521))
 814                 return 0;
 815
 816         if (tmp->top == BN_NIST_521_TOP)
 817                 tmp->d[BN_NIST_521_TOP-1]  &= BN_NIST_521_TOP_MASK;
 818
 819         bn_correct_top(tmp);
 820         if (!BN_uadd(r, tmp, r))
 821                 return 0;
 822         top = r->top;
 823         r_d = r->d;
 824         if (top == BN_NIST_521_TOP  &&
 825            (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
 826                 {
 827                 BN_NIST_ADD_ONE(r_d)
 828                 r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
 829                 }
 830         bn_correct_top(r);
 831
 832         ret = 1;
 833 err:
 834         BN_CTX_end(ctx);
 835
 836         bn_check_top(r);
 837         return ret;
 838         }