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/)"
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@openssl.org.
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
34 * 6. Redistributions of any form whatsoever must retain the following
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
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 */
175 static BN_ULONG _256_data[BN_NIST_256_TOP*6];
176 static int _is_set_256_data = 0;
177 static void _init_256_data(void);
179 static BN_ULONG _384_data[BN_NIST_384_TOP*8];
180 static int _is_set_384_data = 0;
181 static void _init_384_data(void);
183 #define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
185 static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
188 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
189 for (i = (top); i != 0; i--)
191 for (i = (max) - (top); i != 0; i--)
192 *_tmp1++ = (BN_ULONG) 0;
195 static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
198 BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
199 for (i = (top); i != 0; i--)
204 #define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
205 #define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
207 #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
208 #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
210 #define bn_cp_64(to, n, from, m) \
212 bn_cp_32(to, (n)*2, from, (m)*2); \
213 bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
215 #define bn_64_set_0(to, n) \
217 bn_32_set_0(to, (n)*2); \
218 bn_32_set_0(to, (n)*2+1); \
221 #define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
222 #define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
224 #define bn_cp_32(to, n, from, m) \
226 (to)[(n)*2] = (from)[(m)*2]; \
227 (to)[(n)*2+1] = (from)[(m)*2+1];\
229 #define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
231 #define bn_cp_32(to, n, from, m) \
233 (to)[(n)*4] = (from)[(m)*4]; \
234 (to)[(n)*4+1] = (from)[(m)*4+1];\
235 (to)[(n)*4+2] = (from)[(m)*4+2];\
236 (to)[(n)*4+3] = (from)[(m)*4+3];\
238 #define bn_32_set_0(to, n) \
239 { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
240 (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
242 #endif /* BN_BITS2 != 64 */
245 #define nist_set_192(to, from, a1, a2, a3) \
247 if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
248 bn_cp_64(to, 1, from, (a2) - 3) \
249 if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
252 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
257 register BN_ULONG *r_d, *a_d = a->d;
258 BN_ULONG t_d[BN_NIST_192_TOP],
259 buf[BN_NIST_192_TOP];
261 i = BN_ucmp(field, a);
268 return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
270 if (top == BN_NIST_192_TOP)
271 return BN_usub(r, a, field);
275 if (!bn_wexpand(r, BN_NIST_192_TOP))
278 nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
283 nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
285 nist_set_192(t_d, buf, 0, 3, 3);
286 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
289 nist_set_192(t_d, buf, 4, 4, 0);
290 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
293 nist_set_192(t_d, buf, 5, 5, 5)
294 if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
299 if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
302 r->top = BN_NIST_192_TOP;
304 if (BN_ucmp(r, field) >= 0)
306 bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
314 #define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
316 if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
317 if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
318 if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
319 if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
320 if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
321 if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
322 if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
325 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))
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))
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))
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))
375 if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
381 if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
385 r->top = BN_NIST_224_TOP;
387 if (BN_ucmp(r, field) >= 0)
389 bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
399 static void _init_256_data(void)
402 BN_ULONG *tmp1 = _256_data;
403 const BN_ULONG *tmp2 = tmp1;
405 memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
406 tmp1 += BN_NIST_256_TOP;
410 bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
412 tmp1 += BN_NIST_256_TOP;
414 _is_set_256_data = 1;
417 #define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
419 if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
420 if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
421 if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
422 if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
423 if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
424 if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
425 if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
426 if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
429 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
435 register BN_ULONG *a_d = a->d, *r_d;
436 BN_ULONG t_d[BN_NIST_256_TOP],
437 t_d2[BN_NIST_256_TOP],
438 buf[BN_NIST_256_TOP];
440 if (!_is_set_256_data)
442 CRYPTO_w_lock(CRYPTO_LOCK_BN);
444 if (!_is_set_256_data)
447 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
450 i = BN_ucmp(field, a);
457 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
459 if (top == BN_NIST_256_TOP)
460 return BN_usub(r, a, field);
464 if (!bn_wexpand(r, BN_NIST_256_TOP))
467 nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
472 nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
475 nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
477 nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
478 if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
482 register BN_ULONG *ap,t,c;
485 for (i = BN_NIST_256_TOP; i != 0; --i)
488 *(ap++)=((t<<1)|c)&BN_MASK2;
495 if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
498 nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
499 if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
502 nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
503 if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
506 nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
507 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
510 nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
511 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
514 nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
515 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
518 nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
519 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
525 bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
526 --carry, BN_NIST_256_TOP);
530 bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
531 --carry, BN_NIST_256_TOP);
535 r->top = BN_NIST_256_TOP;
537 if (BN_ucmp(r, field) >= 0)
539 bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
549 static void _init_384_data(void)
552 BN_ULONG *tmp1 = _384_data;
553 const BN_ULONG *tmp2 = tmp1;
555 memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
556 tmp1 += BN_NIST_384_TOP;
560 bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
562 tmp1 += BN_NIST_384_TOP;
564 _is_set_384_data = 1;
567 #define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
569 if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
570 if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
571 if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
572 if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
573 if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
574 if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
575 if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
576 if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
577 if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
578 if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
579 if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
580 if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
583 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
589 register BN_ULONG *r_d, *a_d = a->d;
590 BN_ULONG t_d[BN_NIST_384_TOP],
591 buf[BN_NIST_384_TOP];
593 if (!_is_set_384_data)
595 CRYPTO_w_lock(CRYPTO_LOCK_BN);
597 if (!_is_set_384_data)
600 CRYPTO_w_unlock(CRYPTO_LOCK_BN);
603 i = BN_ucmp(field, a);
610 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
612 if (top == BN_NIST_384_TOP)
613 return BN_usub(r, a, field);
617 if (!bn_wexpand(r, BN_NIST_384_TOP))
620 nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
625 nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
628 nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
631 register BN_ULONG *ap,t,c;
634 for (i = BN_NIST_256_TOP; i != 0; --i)
637 *(ap++)=((t<<1)|c)&BN_MASK2;
641 if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
642 t_d, BN_NIST_256_TOP))
645 if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
648 nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
649 if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
652 nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
653 if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
656 nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
657 if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
658 t_d, BN_NIST_256_TOP))
661 nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
662 if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
665 nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
666 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
669 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
670 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
673 nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
674 if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
680 bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
681 --carry, BN_NIST_384_TOP);
685 bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
686 --carry, BN_NIST_384_TOP);
690 r->top = BN_NIST_384_TOP;
692 if (BN_ucmp(r, field) >= 0)
694 bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
704 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
708 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
710 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
712 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
714 #define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
720 /* check whether a reduction is necessary */
722 if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
723 (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
724 return (r == a)? 1 : (BN_copy(r ,a) != NULL);
727 tmp = BN_CTX_get(ctx);
731 if (!bn_wexpand(tmp, BN_NIST_521_TOP))
733 nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
735 tmp->top = BN_NIST_521_TOP;
736 tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
739 if (!BN_rshift(r, a, 521))
742 if (!BN_uadd(r, tmp, r))
746 if (top == BN_NIST_521_TOP &&
747 (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
750 r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;