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 static const BIGNUM_C bn_nist_p_192 =
 131         { _nist_p_192, BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
 132 static const BIGNUM_C bn_nist_p_224 =
 133         { _nist_p_224, BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
 134 static const BIGNUM_C bn_nist_p_256 =
 135         { _nist_p_256, BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
 136 static const BIGNUM_C bn_nist_p_384 =
 137         { _nist_p_384, BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
 138 static const BIGNUM_C bn_nist_p_521 =
 139         { _nist_p_521, BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
 140
 141 const BIGNUM *BN_get0_nist_prime_192(void)
 142         {
 143         return BIGNUM_CONST(&bn_nist_p_192);
 144         }
 145
 146 const BIGNUM *BN_get0_nist_prime_224(void)
 147         {
 148         return BIGNUM_CONST(&bn_nist_p_224);
 149         }
 150
 151 const BIGNUM *BN_get0_nist_prime_256(void)
 152         {
 153         return BIGNUM_CONST(&bn_nist_p_256);
 154         }
 155
 156 const BIGNUM *BN_get0_nist_prime_384(void)
 157         {
 158         return BIGNUM_CONST(&bn_nist_p_384);
 159         }
 160
 161 const BIGNUM *BN_get0_nist_prime_521(void)
 162         {
 163         return BIGNUM_CONST(&bn_nist_p_521);
 164         }
 165
 166 /* some misc internal functions */
 167 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
 168 static int _is_set_256_data = 0;
 169 static void _init_256_data(void);
 170
 171 static BN_ULONG _384_data[BN_NIST_384_TOP*8];
 172 static int _is_set_384_data = 0;
 173 static void _init_384_data(void);
 174
 175 #define BN_NIST_ADD_ONE(a)      while (!(++(*(a)))) ++(a);
 176 #define __buf_0                 (BN_ULONG)0
 177 #define __buf_0_1               (BN_ULONG)0
 178 #define __buf_0_2               (BN_ULONG)0
 179 #if BN_BITS2 == 64
 180 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 181 #define BN_CP_64_TO_BUF(n)      __buf_##n = (a)[(n)];
 182 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 183 #define BN_CASE_64_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 184 #if     UINT_MAX == 4294967295UL
 185 #define nist32  unsigned int
 186 #define BN_32_BIT_BUF(n)        nist32 __buf_##n = (nist32)0;
 187 #define BN_CP_32_TO_BUF(n)      __buf_##n = ((nist32 *)(a))[(n)];
 188 #define BN_CP_32_FROM_BUF(a,n)  *((nist32)(a))++ = __buf_##n;
 189 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = ((nist32)(a))[(n)];
 190 #elif   ULONG_MAX == 4294967295UL
 191 #define nist32  unsigned long
 192 #define BN_32_BIT_BUF(n)        nist32 __buf_##n = (nist32)0;
 193 #define BN_CP_32_TO_BUF(n)      __buf_##n = ((nist32 *)(a))[(n)];
 194 #define BN_CP_32_FROM_BUF(a,n)  *((nist32)(a))++ = __buf_##n;
 195 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = ((nist32)(a))[(n)];
 196 #else
 197 #define NO_32_BIT_TYPE
 198 #endif
 199 #elif BN_BITS2 == 32
 200 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 201                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 202 #define BN_CP_64_TO_BUF(n)      __buf_##n##_2 = (a)[2*(n)+1];\
 203                                 __buf_##n##_1 = (a)[2*(n)];
 204 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 205                                 *(a)++ = __buf_##n##_2;
 206 #define BN_CASE_64_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 207                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 208
 209 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n = (BN_ULONG)0;
 210 #define BN_CP_32_TO_BUF(n)      __buf_##n = (a)[(n)];
 211 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n;
 212 #define BN_CASE_32_BIT(n,a)     case (n): __buf_##n = (a)[(n)];
 213 #elif BN_BITS2 == 16
 214 #define __buf_0_3               (BN_ULONG)0
 215 #define __buf_0_4               (BN_ULONG)0
 216 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 217                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 218                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 219                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 220 #define BN_CP_64_TO_BUF(n)      __buf_##n##_4 = (a)[4*(n)+3];\
 221                                 __buf_##n##_3 = (a)[4*(n)+2];\
 222                                 __buf_##n##_2 = (a)[4*(n)+1];\
 223                                 __buf_##n##_1 = (a)[4*(n)];
 224 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 225                                 *(a)++ = __buf_##n##_2;\
 226                                 *(a)++ = __buf_##n##_3;\
 227                                 *(a)++ = __buf_##n##_4;
 228 #define BN_CASE_64_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 229                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 230                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 231                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 232 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 233                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
 234 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[2*(n)];\
 235                                 __buf_##n##_2 = (a)[2*(n)+1];
 236 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 237                                 *(a)++ = __buf_##n##_2;
 238 #define BN_CASE_32_BIT(n,a)     case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
 239                                 case 2*(n):   __buf_##n##_1 = (a)[2*(n)];
 240 #elif BN_BITS2 == 8
 241 #define __buf_0_3               (BN_ULONG)0
 242 #define __buf_0_4               (BN_ULONG)0
 243 #define __buf_0_5               (BN_ULONG)0
 244 #define __buf_0_6               (BN_ULONG)0
 245 #define __buf_0_7               (BN_ULONG)0
 246 #define __buf_0_8               (BN_ULONG)0
 247 #define BN_64_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 248                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 249                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 250                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
 251                                 BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
 252                                 BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
 253                                 BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
 254                                 BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
 255 #define BN_CP_64_TO_BUF(n)      __buf_##n##_8 = (a)[8*(n)+7];\
 256                                 __buf_##n##_7 = (a)[8*(n)+6];\
 257                                 __buf_##n##_6 = (a)[8*(n)+5];\
 258                                 __buf_##n##_5 = (a)[8*(n)+4];\
 259                                 __buf_##n##_4 = (a)[8*(n)+3];\
 260                                 __buf_##n##_3 = (a)[8*(n)+2];\
 261                                 __buf_##n##_2 = (a)[8*(n)+1];\
 262                                 __buf_##n##_1 = (a)[8*(n)];
 263 #define BN_CP_64_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 264                                 *(a)++ = __buf_##n##_2;\
 265                                 *(a)++ = __buf_##n##_3;\
 266                                 *(a)++ = __buf_##n##_4;\
 267                                 *(a)++ = __buf_##n##_5;\
 268                                 *(a)++ = __buf_##n##_6;\
 269                                 *(a)++ = __buf_##n##_7;\
 270                                 *(a)++ = __buf_##n##_8;
 271 #define BN_CASE_64_BIT(n,a)     case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
 272                                 case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
 273                                 case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
 274                                 case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
 275                                 case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
 276                                 case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
 277                                 case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
 278                                 case 8*(n):   __buf_##n##_1 = (a)[8*(n)];
 279 #define BN_32_BIT_BUF(n)        BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
 280                                 BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
 281                                 BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
 282                                 BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
 283 #define BN_CP_32_TO_BUF(n)      __buf_##n##_1 = (a)[4*(n)];\
 284                                 __buf_##n##_2 = (a)[4*(n)+1];\
 285                                 __buf_##n##_3 = (a)[4*(n)+2];\
 286                                 __buf_##n##_4 = (a)[4*(n)+3];
 287 #define BN_CP_32_FROM_BUF(a,n)  *(a)++ = __buf_##n##_1;\
 288                                 *(a)++ = __buf_##n##_2;\
 289                                 *(a)++ = __buf_##n##_3;\
 290                                 *(a)++ = __buf_##n##_4;
 291 #define BN_CASE_32_BIT(n,a)     case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
 292                                 case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
 293                                 case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
 294                                 case 4*(n):   __buf_##n##_1 = (a)[4*(n)];
 295 #endif
 296
 297
 298 #define BN_192_SET(d,a1,a2,a3) \
 299         {\
 300         register BN_ULONG *td = (d);\
 301         BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
 302         BN_CP_64_FROM_BUF(td,a1);\
 303         }
 304
 305 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 306         BN_CTX *ctx)
 307         {
 308         int      top;
 309         BN_ULONG carry = 0;
 310         register BN_ULONG *r_d, *a_d;
 311         BN_ULONG t_d[BN_NIST_192_TOP];
 312         BN_64_BIT_BUF(3)  BN_64_BIT_BUF(4)
 313         BN_64_BIT_BUF(5)
 314
 315         top = BN_ucmp(field, a);
 316         if (top == 0)
 317                 return BN_zero(r);
 318         else if (top > 0)
 319                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 320
 321         if (r != a)
 322                 if (!BN_ncopy(r, a, BN_NIST_192_TOP))
 323                         return 0;
 324
 325         r_d = r->d;
 326         a_d = a->d;
 327         top = a->top-1;
 328
 329         switch (top)
 330                 {
 331                 BN_CASE_64_BIT(5, a_d)
 332                 BN_CASE_64_BIT(4, a_d)
 333                 BN_CASE_64_BIT(3, a_d)
 334                         break;
 335                 default: /* a->top == field->top */
 336                         return BN_usub(r, a, field);
 337                 }
 338
 339         BN_192_SET(t_d,0,3,3)
 340         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 341                 ++carry;
 342
 343         BN_192_SET(t_d,4,4,0)
 344         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 345                 ++carry;
 346
 347         BN_192_SET(t_d,5,5,5)
 348         if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
 349                 ++carry;
 350
 351         while (carry)
 352                 {
 353                 if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
 354                         --carry;
 355                 }
 356         r->top = BN_NIST_192_TOP;
 357
 358 #if 1
 359         bn_clear_top2max(r);
 360 #endif
 361         bn_fix_top(r);
 362
 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_fix_top(r);
 367                 }
 368
 369         return 1;
 370         }
 371
 372 #define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
 373         {\
 374         register BN_ULONG *td = (d);\
 375         BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
 376         BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
 377         BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
 378         BN_CP_32_FROM_BUF(td,a1);\
 379         }
 380
 381 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 382         BN_CTX *ctx)
 383         {
 384 #ifndef NO_32_BIT_TYPE
 385         int     tmp_int;
 386         int     carry = 0;
 387         BN_ULONG *r_d, *a_d;
 388         BN_ULONG t_d[BN_NIST_224_TOP];
 389         BN_32_BIT_BUF(7)  BN_32_BIT_BUF(8)
 390         BN_32_BIT_BUF(9)  BN_32_BIT_BUF(10)
 391         BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
 392         BN_32_BIT_BUF(13)
 393
 394         tmp_int = BN_ucmp(field, a);
 395         if (tmp_int == 0)
 396                 return BN_zero(r);
 397         else if (tmp_int > 0)
 398                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 399
 400         if (r != a)
 401                 if (!BN_ncopy(r, a, BN_NIST_224_TOP))
 402                         return 0;
 403
 404         r_d = r->d;
 405         a_d = a->d;
 406
 407         tmp_int = a->top-1;
 408
 409         switch (tmp_int)
 410                 {
 411                 BN_CASE_32_BIT(13, a_d)
 412                 BN_CASE_32_BIT(12, a_d)
 413                 BN_CASE_32_BIT(11, a_d)
 414                 BN_CASE_32_BIT(10, a_d)
 415                 BN_CASE_32_BIT(9,  a_d)
 416                 BN_CASE_32_BIT(8,  a_d)
 417                 BN_CASE_32_BIT(7,  a_d)
 418                         break;
 419                 default: /* a->top == field->top */
 420                         return BN_usub(r, a, field);
 421                 }
 422
 423         BN_224_SET(t_d,10,9,8,7,0,0,0)
 424         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 425                 ++carry;
 426         BN_224_SET(t_d,0,13,12,11,0,0,0)
 427         if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 428                 ++carry;
 429         BN_224_SET(t_d,13,12,11,10,9,8,7)
 430         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 431                 --carry;
 432         BN_224_SET(t_d,0,0,0,0,13,12,11)
 433         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
 434                 --carry;
 435
 436         if (carry > 0)
 437                 while (carry)
 438                         {
 439                         if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 440                                 --carry;
 441                         }
 442         else if (carry < 0)
 443                 while (carry)
 444                         {
 445                         if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
 446                                 ++carry;
 447                         }
 448
 449         r->top = BN_NIST_224_TOP;
 450 #if 1
 451         bn_clear_top2max(r);
 452 #endif
 453         bn_fix_top(r);
 454
 455         if (BN_ucmp(r, field) >= 0)
 456                 {
 457                 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
 458                 bn_fix_top(r);
 459                 }
 460         return 1;
 461 #else
 462         return 0;
 463 #endif
 464         }
 465
 466 static void _init_256_data(void)
 467         {
 468         int     i;
 469         BN_ULONG *tmp1 = _256_data;
 470         const BN_ULONG *tmp2 = tmp1;
 471
 472         memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
 473         tmp1 += BN_NIST_256_TOP;
 474
 475         for (i=0; i<5; i++)
 476                 {
 477                 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
 478                 tmp2  = tmp1;
 479                 tmp1 += BN_NIST_256_TOP;
 480                 }
 481         _is_set_256_data = 1;
 482         }
 483
 484 #define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
 485         {\
 486         register BN_ULONG *td = (d);\
 487         BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
 488         BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
 489         BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
 490         BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
 491         }
 492
 493 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 494         BN_CTX *ctx)
 495         {
 496 #ifndef NO_32_BIT_TYPE
 497         int     tmp_int;
 498         int     carry = 0;
 499         register BN_ULONG *a_d, *r_d;
 500         BN_ULONG t_d[BN_NIST_256_TOP];
 501         BN_ULONG t_d2[BN_NIST_256_TOP];
 502         BN_32_BIT_BUF(8)  BN_32_BIT_BUF(9)
 503         BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
 504         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 505         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 506
 507         if (!_is_set_256_data)
 508                 {
 509                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 510
 511                 if (!_is_set_256_data)
 512                         _init_256_data();
 513
 514                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 515                 }
 516
 517         tmp_int = BN_ucmp(field, a);
 518         if (tmp_int == 0)
 519                 return BN_zero(r);
 520         else if (tmp_int > 0)
 521                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 522
 523         if (r != a)
 524                 if (!BN_ncopy(r, a, BN_NIST_256_TOP))
 525                         return 0;
 526
 527         tmp_int = a->top-1;
 528
 529         a_d = a->d;
 530         r_d = r->d;
 531         switch (tmp_int)
 532                 {
 533                 BN_CASE_32_BIT(15, a_d)
 534                 BN_CASE_32_BIT(14, a_d)
 535                 BN_CASE_32_BIT(13, a_d)
 536                 BN_CASE_32_BIT(12, a_d)
 537                 BN_CASE_32_BIT(11, a_d)
 538                 BN_CASE_32_BIT(10, a_d)
 539                 BN_CASE_32_BIT(9,  a_d)
 540                 BN_CASE_32_BIT(8,  a_d)
 541                         break;
 542                 default: /* a->top == field->top */
 543                         return BN_usub(r, a, field);
 544                 }
 545
 546         /*S1*/
 547         BN_256_SET(t_d,15,14,13,12,11,0,0,0)
 548         /*S2*/
 549         BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
 550         if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
 551                 carry = 2;
 552         /* left shift */
 553                 {
 554                 register BN_ULONG *ap,t,c;
 555                 ap = t_d;
 556                 c=0;
 557                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 558                         {
 559                         t= *ap;
 560                         *(ap++)=((t<<1)|c)&BN_MASK2;
 561                         c=(t & BN_TBIT)?1:0;
 562                         }
 563                 if (c)
 564                         ++carry;
 565                 }
 566
 567         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 568                 ++carry;
 569         /*S3*/
 570         BN_256_SET(t_d,15,14,0,0,0,10,9,8)
 571         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 572                 ++carry;
 573         /*S4*/
 574         BN_256_SET(t_d,8,13,15,14,13,11,10,9)
 575         if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 576                 ++carry;
 577         /*D1*/
 578         BN_256_SET(t_d,10,8,0,0,0,13,12,11)
 579         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 580                 --carry;
 581         /*D2*/
 582         BN_256_SET(t_d,11,9,0,0,15,14,13,12)
 583         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 584                 --carry;
 585         /*D3*/
 586         BN_256_SET(t_d,12,0,10,9,8,15,14,13)
 587         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 588                 --carry;
 589         /*D4*/
 590         BN_256_SET(t_d,13,0,11,10,9,0,15,14)
 591         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
 592                 --carry;
 593
 594         if (carry)
 595                 {
 596                 if (carry > 0)
 597                         bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 598                                 --carry, BN_NIST_256_TOP);
 599                 else
 600                         {
 601                         carry = -carry;
 602                         bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
 603                                 --carry, BN_NIST_256_TOP);
 604                         }
 605                 }
 606
 607         r->top = BN_NIST_256_TOP;
 608 #if 1
 609         bn_clear_top2max(r);
 610 #endif
 611         bn_fix_top(r);
 612
 613         if (BN_ucmp(r, field) >= 0)
 614                 {
 615                 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
 616                 bn_fix_top(r);
 617                 }
 618         return 1;
 619 #else
 620         return 0;
 621 #endif
 622         }
 623
 624 static void _init_384_data(void)
 625         {
 626         int     i;
 627         BN_ULONG *tmp1 = _384_data;
 628         const BN_ULONG *tmp2 = tmp1;
 629
 630         memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
 631         tmp1 += BN_NIST_384_TOP;
 632
 633         for (i=0; i<7; i++)
 634                 {
 635                 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
 636                 tmp2  = tmp1;
 637                 tmp1 += BN_NIST_384_TOP;
 638                 }
 639         _is_set_384_data = 1;
 640         }
 641
 642 #define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
 643         {\
 644         register BN_ULONG *td = (d);\
 645         BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
 646         BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
 647         BN_CP_32_FROM_BUF(td,a8);  BN_CP_32_FROM_BUF(td,a7);\
 648         BN_CP_32_FROM_BUF(td,a6);  BN_CP_32_FROM_BUF(td,a5);\
 649         BN_CP_32_FROM_BUF(td,a4);  BN_CP_32_FROM_BUF(td,a3);\
 650         BN_CP_32_FROM_BUF(td,a2);  BN_CP_32_FROM_BUF(td,a1);\
 651         }
 652
 653 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 654         BN_CTX *ctx)
 655         {
 656 #ifndef NO_32_BIT_TYPE
 657         int     tmp_int;
 658         int     carry = 0;
 659         register BN_ULONG *r_d, *a_d;
 660         BN_ULONG t_d[BN_NIST_384_TOP];
 661         BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
 662         BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
 663         BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
 664         BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
 665         BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
 666         BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
 667
 668         if (!_is_set_384_data)
 669                 {
 670                 CRYPTO_w_lock(CRYPTO_LOCK_BN);
 671
 672                 if (!_is_set_384_data)
 673                         _init_384_data();
 674
 675                 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
 676                 }
 677
 678         tmp_int = BN_ucmp(field, a);
 679         if (tmp_int == 0)
 680                 return BN_zero(r);
 681         else if (tmp_int > 0)
 682                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 683
 684         if (r != a)
 685                 if (!BN_ncopy(r, a, BN_NIST_384_TOP))
 686                         return 0;
 687
 688         r_d = r->d;
 689         a_d = a->d;
 690         tmp_int = a->top-1;
 691
 692         switch (tmp_int)
 693                 {
 694                 BN_CASE_32_BIT(23, a_d)
 695                 BN_CASE_32_BIT(22, a_d)
 696                 BN_CASE_32_BIT(21, a_d)
 697                 BN_CASE_32_BIT(20, a_d)
 698                 BN_CASE_32_BIT(19, a_d)
 699                 BN_CASE_32_BIT(18, a_d)
 700                 BN_CASE_32_BIT(17, a_d)
 701                 BN_CASE_32_BIT(16, a_d)
 702                 BN_CASE_32_BIT(15, a_d)
 703                 BN_CASE_32_BIT(14, a_d)
 704                 BN_CASE_32_BIT(13, a_d)
 705                 BN_CASE_32_BIT(12, a_d)
 706                         break;
 707                 default: /* a->top == field->top */
 708                         return BN_usub(r, a, field);
 709                 }
 710
 711         /*S1*/
 712         BN_256_SET(t_d,0,0,0,0,0,23,22,21)
 713                 /* left shift */
 714                 {
 715                 register BN_ULONG *ap,t,c;
 716                 ap = t_d;
 717                 c=0;
 718                 for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
 719                         {
 720                         t= *ap;
 721                         *(ap++)=((t<<1)|c)&BN_MASK2;
 722                         c=(t & BN_TBIT)?1:0;
 723                         }
 724                 }
 725         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 726                 t_d, BN_NIST_256_TOP))
 727                 ++carry;
 728         /*S2*/
 729         BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
 730         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 731                 ++carry;
 732         /*S3*/
 733         BN_384_SET(t_d,20,19,18,17,16,15,14,13,12,23,22,21)
 734         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 735                 ++carry;
 736         /*S4*/
 737         BN_384_SET(t_d,19,18,17,16,15,14,13,12,20,0,23,0)
 738         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 739                 ++carry;
 740         /*S5*/
 741         BN_256_SET(t_d,0,0,0,0,23,22,21,20)
 742         if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
 743                 t_d, BN_NIST_256_TOP))
 744                 ++carry;
 745         /*S6*/
 746         BN_384_SET(t_d,0,0,0,0,0,0,23,22,21,0,0,20)
 747         if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 748                 ++carry;
 749         /*D1*/
 750         BN_384_SET(t_d,22,21,20,19,18,17,16,15,14,13,12,23)
 751         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 752                 --carry;
 753         /*D2*/
 754         BN_384_SET(t_d,0,0,0,0,0,0,0,23,22,21,20,0)
 755         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 756                 --carry;
 757         /*D3*/
 758         BN_384_SET(t_d,0,0,0,0,0,0,0,23,23,0,0,0)
 759         if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
 760                 --carry;
 761
 762         if (carry)
 763                 {
 764                 if (carry > 0)
 765                         bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 766                                 --carry, BN_NIST_384_TOP);
 767                 else
 768                         {
 769                         carry = -carry;
 770                         bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
 771                                 --carry, BN_NIST_384_TOP);
 772                         }
 773                 }
 774
 775         r->top = BN_NIST_384_TOP;
 776 #if 1
 777         bn_clear_top2max(r);
 778 #endif
 779         bn_fix_top(r);
 780
 781         if (BN_ucmp(r, field) >= 0)
 782                 {
 783                 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
 784                 bn_fix_top(r);
 785                 }
 786         return 1;
 787 #else
 788         return 0;
 789 #endif
 790         }
 791
 792 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
 793         BN_CTX *ctx)
 794         {
 795 #if BN_BITS2 == 64
 796 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 797 #elif BN_BITS2 == 32
 798 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 799 #elif BN_BITS2 == 16
 800 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1FF
 801 #elif BN_BITS2 == 8
 802 #define BN_NIST_521_TOP_MASK    (BN_ULONG)0x1
 803 #endif
 804         int     top, ret = 0;
 805         BN_ULONG *r_d;
 806         BIGNUM  *tmp;
 807
 808         /* check whether a reduction is necessary */
 809         top = a->top;
 810         if (top < BN_NIST_521_TOP  || ( top == BN_NIST_521_TOP &&
 811            (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
 812                 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
 813
 814         BN_CTX_start(ctx);
 815         tmp = BN_CTX_get(ctx);
 816         if (!tmp)
 817                 goto err;
 818
 819         if (!BN_ncopy(tmp, a, BN_NIST_521_TOP))
 820                 return 0;
 821         if (!BN_rshift(r, a, 521))
 822                 return 0;
 823
 824         if (tmp->top == BN_NIST_521_TOP)
 825                 tmp->d[BN_NIST_521_TOP-1]  &= BN_NIST_521_TOP_MASK;
 826
 827         bn_fix_top(tmp);
 828         if (!BN_uadd(r, tmp, r))
 829                 return 0;
 830         top = r->top;
 831         r_d = r->d;
 832         if (top == BN_NIST_521_TOP  &&
 833            (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
 834                 {
 835                 BN_NIST_ADD_ONE(r_d)
 836                 r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
 837                 }
 838         bn_fix_top(r);
 839
 840         ret = 1;
 841 err:
 842         BN_CTX_end(ctx);
 843
 844         return ret;
 845         }