1 /* crypto/bn/bn_nist.c */
3 * Written by Nils Larsch for the OpenSSL project
5 /* ====================================================================
6 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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36 * "This product includes software developed by the OpenSSL Project
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41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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51 * ====================================================================
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
62 #define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
63 #define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
64 #define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
65 #define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
66 #define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
69 static const BN_ULONG _nist_p_192[] =
70 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
71 0xFFFFFFFFFFFFFFFFULL};
72 static const BN_ULONG _nist_p_224[] =
73 {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
74 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
75 static const BN_ULONG _nist_p_256[] =
76 {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
77 0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
78 static const BN_ULONG _nist_p_384[] =
79 {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
80 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
81 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
82 static const BN_ULONG _nist_p_521[] =
83 {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
84 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
85 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
86 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
87 0x00000000000001FFULL};
89 static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
90 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
91 static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
92 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
93 static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
94 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
95 static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
96 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
97 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
98 static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
99 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
100 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
101 0xFFFFFFFF,0x000001FF};
103 static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
104 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
105 static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
106 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
107 static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
108 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
110 static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
111 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
112 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
113 static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
114 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
115 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
116 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
118 static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
119 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
121 static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
122 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
123 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
124 static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
125 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
126 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
127 static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
128 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
129 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
130 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
131 static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
132 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
133 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
134 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
135 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
139 const BIGNUM *BN_get0_nist_prime_192(void)
141 static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
142 BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
143 return &const_nist_192;
146 const BIGNUM *BN_get0_nist_prime_224(void)
148 static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
149 BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
150 return &const_nist_224;
153 const BIGNUM *BN_get0_nist_prime_256(void)
155 static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
156 BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
157 return &const_nist_256;
160 const BIGNUM *BN_get0_nist_prime_384(void)
162 static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
163 BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
164 return &const_nist_384;
167 const BIGNUM *BN_get0_nist_prime_521(void)
169 static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
170 BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
171 return &const_nist_521;
174 /* some misc internal functions */
176 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
177 static int _is_set_256_data = 0;
178 static void _init_256_data(void);
181 #define BN_NIST_ADD_ONE(a) while (!(*(a)=(*(a)+1)&BN_MASK2)) ++(a);
183 static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
186 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
187 for (i = (top); i != 0; i--)
189 for (i = (max) - (top); i != 0; i--)
190 *_tmp1++ = (BN_ULONG) 0;
193 static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
196 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
197 for (i = (top); i != 0; i--)
202 #define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
203 #define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
205 #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
206 #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
208 #define bn_cp_64(to, n, from, m) \
210 bn_cp_32(to, (n)*2, from, (m)*2); \
211 bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
213 #define bn_64_set_0(to, n) \
215 bn_32_set_0(to, (n)*2); \
216 bn_32_set_0(to, (n)*2+1); \
219 #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
220 #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
222 #define bn_cp_32(to, n, from, m) \
224 (to)[(n)*2] = (from)[(m)*2]; \
225 (to)[(n)*2+1] = (from)[(m)*2+1];\
227 #define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
229 #define bn_cp_32(to, n, from, m) \
231 (to)[(n)*4] = (from)[(m)*4]; \
232 (to)[(n)*4+1] = (from)[(m)*4+1];\
233 (to)[(n)*4+2] = (from)[(m)*4+2];\
234 (to)[(n)*4+3] = (from)[(m)*4+3];\
236 #define bn_32_set_0(to, n) \
237 { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
238 (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
240 #endif /* BN_BITS2 != 64 */
243 #define nist_set_192(to, from, a1, a2, a3) \
245 if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
246 bn_cp_64(to, 1, from, (a2) - 3) \
247 if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
250 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
254 register BN_ULONG *r_d, *a_d = a->d;
255 BN_ULONG t_d[BN_NIST_192_TOP],
256 buf[BN_NIST_192_TOP];
258 i = BN_ucmp(field, a);
265 return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
267 if (top == BN_NIST_192_TOP)
268 return BN_usub(r, a, field);
272 if (!bn_wexpand(r, BN_NIST_192_TOP))
275 nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
280 nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
282 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
283 # pragma message save
284 # pragma message disable BADSUBSCRIPT
287 nist_set_192(t_d, buf, 0, 3, 3);
288 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
289 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
291 nist_set_192(t_d, buf, 4, 4, 0);
292 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
293 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
295 #if defined(OPENSSL_SYS_VMS) && defined(__DECC)
296 # pragma message restore
299 nist_set_192(t_d, buf, 5, 5, 5)
300 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
301 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
303 r->top = BN_NIST_192_TOP;
305 if (BN_ucmp(r, field) >= 0)
307 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
315 #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
317 if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
318 if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
319 if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
320 if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
321 if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
322 if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
323 if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
326 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
331 BN_ULONG *r_d, *a_d = a->d;
332 BN_ULONG t_d[BN_NIST_224_TOP],
333 buf[BN_NIST_224_TOP];
335 i = BN_ucmp(field, a);
342 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
344 if (top == BN_NIST_224_TOP)
345 return BN_usub(r, a, field);
349 if (!bn_wexpand(r, BN_NIST_224_TOP))
352 nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
357 nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
359 nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
360 if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
361 bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
362 nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
363 if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
364 bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
365 nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
366 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
367 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
368 nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
369 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
370 bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP);
372 r->top = BN_NIST_224_TOP;
374 if (BN_ucmp(r, field) >= 0)
376 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
387 static void _init_256_data(void)
390 BN_ULONG *tmp1 = _256_data;
391 const BN_ULONG *tmp2 = tmp1;
393 memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
394 tmp1 += BN_NIST_256_TOP;
398 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
400 tmp1 += BN_NIST_256_TOP;
402 _is_set_256_data = 1;
406 #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
408 if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
409 if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
410 if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
411 if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
412 if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
413 if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
414 if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
415 if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
418 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
424 register BN_ULONG *a_d = a->d, *r_d;
425 BN_ULONG t_d[BN_NIST_256_TOP],
426 t_d2[BN_NIST_256_TOP],
427 buf[BN_NIST_256_TOP];
429 if (!_is_set_256_data)
431 CRYPTO_w_lock(CRYPTO_LOCK_BN);
433 if (!_is_set_256_data)
436 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
439 i = BN_ucmp(field, a);
446 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
448 if (top == BN_NIST_256_TOP)
449 return BN_usub(r, a, field);
453 if (!bn_wexpand(r, BN_NIST_256_TOP))
456 nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
461 nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
464 nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
466 nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
467 carry = bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP);
470 register BN_ULONG *ap,t,c;
473 for (i = BN_NIST_256_TOP; i != 0; --i)
476 *(ap++)=((t<<1)|c)&BN_MASK2;
483 carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
485 nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
486 carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
488 nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
489 carry += bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
492 bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
493 (carry-1), BN_NIST_256_TOP);
496 nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
497 carry = bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
499 nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
500 carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
502 nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
503 carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
505 nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
506 carry += bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
509 bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
510 (carry-1), BN_NIST_256_TOP);
512 r->top = BN_NIST_256_TOP;
514 if (BN_ucmp(r, field) >= 0)
516 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
526 #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
528 if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
529 if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
530 if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
531 if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
532 if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
533 if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
534 if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
535 if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
536 if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
537 if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
538 if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
539 if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
542 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
548 register BN_ULONG *r_d, *a_d = a->d;
549 BN_ULONG t_d[BN_NIST_384_TOP],
550 buf[BN_NIST_384_TOP],
551 c_d[BN_NIST_384_TOP],
555 i = BN_ucmp(field, a);
562 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
564 if (top == BN_NIST_384_TOP)
565 return BN_usub(r, a, field);
569 if (!bn_wexpand(r, BN_NIST_384_TOP))
572 nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
577 nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
580 nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
583 register BN_ULONG *ap,t,c;
586 for (i = 3; i != 0; --i)
589 *(ap++)=((t<<1)|c)&BN_MASK2;
594 carry = bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
595 t_d, BN_NIST_256_TOP);
596 /* this is equivalent to if (result >= module) */
597 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
598 mask = ~mask | (0-(size_t)carry);
599 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
602 carry = bn_add_words(r_d, res, buf, BN_NIST_384_TOP);
603 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
604 mask = ~mask | (0-(size_t)carry);
605 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
608 nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
609 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
610 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
611 mask = ~mask | (0-(size_t)carry);
612 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
615 nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
616 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
617 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
618 mask = ~mask | (0-(size_t)carry);
619 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
622 nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
623 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
624 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
625 mask = ~mask | (0-(size_t)carry);
626 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
629 nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
630 carry = bn_add_words(r_d, res, t_d, BN_NIST_384_TOP);
631 mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
632 mask = ~mask | (0-(size_t)carry);
633 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
636 nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
638 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
639 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
640 mask = 0-(size_t)carry;
641 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
643 if (bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP))
644 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
647 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
649 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
650 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
651 mask = 0-(size_t)carry;
652 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
654 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
655 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
658 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
660 carry = bn_sub_words(r_d, res, t_d, BN_NIST_384_TOP);
661 bn_add_words(c_d,r_d,_nist_p_384,BN_NIST_384_TOP);
662 mask = 0-(size_t)carry;
663 res = (BN_ULONG *)(((size_t)c_d&mask) | ((size_t)r_d&~mask));
665 nist_cp_bn(r_d, res, BN_NIST_384_TOP);
667 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
668 bn_add_words(r_d,r_d,_nist_p_384,BN_NIST_384_TOP);
670 r->top = BN_NIST_384_TOP;
679 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
683 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
685 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
687 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
689 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
695 /* check whether a reduction is necessary */
697 if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
698 (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
699 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
702 tmp = BN_CTX_get(ctx);
706 if (!bn_wexpand(tmp, BN_NIST_521_TOP))
708 nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
710 tmp->top = BN_NIST_521_TOP;
711 tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
714 if (!BN_rshift(r, a, 521))
717 if (!BN_uadd(r, tmp, r))
721 if (top == BN_NIST_521_TOP &&
722 (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
725 r->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;