1 /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
4 * This package is an SSL implementation written
5 * by Eric Young (eay@cryptsoft.com).
6 * The implementation was written so as to conform with Netscapes SSL.
8 * This library is free for commercial and non-commercial use as long as
9 * the following conditions are aheared to. The following conditions
10 * apply to all code found in this distribution, be it the RC4, RSA,
11 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
12 * included with this distribution is covered by the same copyright terms
13 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 * Copyright remains Eric Young's, and as such any Copyright notices in
16 * the code are not to be removed.
17 * If this package is used in a product, Eric Young should be given attribution
18 * as the author of the parts of the library used.
19 * This can be in the form of a textual message at program startup or
20 * in documentation (online or textual) provided with the package.
22 * Redistribution and use in source and binary forms, with or without
23 * modification, are permitted provided that the following conditions
25 * 1. Redistributions of source code must retain the copyright
26 * notice, this list of conditions and the following disclaimer.
27 * 2. Redistributions in binary form must reproduce the above copyright
28 * notice, this list of conditions and the following disclaimer in the
29 * documentation and/or other materials provided with the distribution.
30 * 3. All advertising materials mentioning features or use of this software
31 * must display the following acknowledgement:
32 * "This product includes cryptographic software written by
33 * Eric Young (eay@cryptsoft.com)"
34 * The word 'cryptographic' can be left out if the rouines from the library
35 * being used are not cryptographic related :-).
36 * 4. If you include any Windows specific code (or a derivative thereof) from
37 * the apps directory (application code) you must include an acknowledgement:
38 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
41 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
43 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
44 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
45 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
46 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
48 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
49 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
52 * The licence and distribution terms for any publically available version or
53 * derivative of this code cannot be changed. i.e. this code cannot simply be
54 * copied and put under another distribution licence
55 * [including the GNU Public Licence.]
57 /* ====================================================================
58 * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
60 * Redistribution and use in source and binary forms, with or without
61 * modification, are permitted provided that the following conditions
64 * 1. Redistributions of source code must retain the above copyright
65 * notice, this list of conditions and the following disclaimer.
67 * 2. Redistributions in binary form must reproduce the above copyright
68 * notice, this list of conditions and the following disclaimer in
69 * the documentation and/or other materials provided with the
72 * 3. All advertising materials mentioning features or use of this
73 * software must display the following acknowledgment:
74 * "This product includes software developed by the OpenSSL Project
75 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
77 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
78 * endorse or promote products derived from this software without
79 * prior written permission. For written permission, please contact
80 * openssl-core@openssl.org.
82 * 5. Products derived from this software may not be called "OpenSSL"
83 * nor may "OpenSSL" appear in their names without prior written
84 * permission of the OpenSSL Project.
86 * 6. Redistributions of any form whatsoever must retain the following
88 * "This product includes software developed by the OpenSSL Project
89 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
91 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
92 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
93 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
94 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
95 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
96 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
97 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
98 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
99 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
100 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
101 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
102 * OF THE POSSIBILITY OF SUCH DAMAGE.
103 * ====================================================================
105 * This product includes cryptographic software written by Eric Young
106 * (eay@cryptsoft.com). This product includes software written by Tim
107 * Hudson (tjh@cryptsoft.com).
110 /* ====================================================================
111 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
113 * Portions of the attached software ("Contribution") are developed by
114 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
116 * The Contribution is licensed pursuant to the Eric Young open source
117 * license provided above.
119 * The binary polynomial arithmetic software is originally written by
120 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
123 #ifndef OPENSSL_HEADER_BN_INTERNAL_H
124 #define OPENSSL_HEADER_BN_INTERNAL_H
126 #include <openssl/base.h>
128 #include <inttypes.h>
130 #if defined(__cplusplus)
134 /* BN_wexpand ensures that |bn| has at least |words| works of space without
135 * altering its value. It returns one on success or zero on allocation
137 BIGNUM *bn_wexpand(BIGNUM *bn, unsigned words);
139 /* bn_expand acts the same as |BN_wexpand|, but takes a number of bits rather
140 * than a number of words. */
141 BIGNUM *bn_expand(BIGNUM *bn, unsigned bits);
143 /* bn_correct_top decrements |bn->top| until |bn->d[top-1]| is non-zero or
144 * until |top| is zero. */
145 void bn_correct_top(BIGNUM *bn);
147 #if defined(OPENSSL_64_BIT)
149 #define BN_ULLONG unsigned long long
154 #define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
155 #define BN_MASK2 (0xffffffffffffffffL)
156 #define BN_MASK2l (0xffffffffL)
157 #define BN_MASK2h (0xffffffff00000000L)
158 #define BN_MASK2h1 (0xffffffff80000000L)
159 #define BN_TBIT (0x8000000000000000L)
160 #define BN_DEC_CONV (10000000000000000000UL)
161 #define BN_DEC_FMT1 "%" PRIu64
162 #define BN_DEC_FMT2 "%019" PRIu64
163 #define BN_DEC_NUM 19
164 #define BN_HEX_FMT1 "%" PRIx64
166 #elif defined(OPENSSL_32_BIT)
168 #define BN_ULLONG unsigned long long
169 #define BN_MASK (0xffffffffffffffffLL)
170 #define BN_LONG int32_t
174 #define BN_MASK2 (0xffffffffL)
175 #define BN_MASK2l (0xffff)
176 #define BN_MASK2h1 (0xffff8000L)
177 #define BN_MASK2h (0xffff0000L)
178 #define BN_TBIT (0x80000000L)
179 #define BN_DEC_CONV (1000000000L)
180 #define BN_DEC_FMT1 "%" PRIu32
181 #define BN_DEC_FMT2 "%09" PRIu32
183 #define BN_HEX_FMT1 "%" PRIx32
186 #error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT"
189 /* Pentium pro 16,16,16,32,64 */
190 /* Alpha 16,16,16,16.64 */
191 #define BN_MULL_SIZE_NORMAL (16) /* 32 */
192 #define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */
193 #define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */
194 #define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */
195 #define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */
197 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
198 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
199 void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
200 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
201 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
202 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
204 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
205 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
206 void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
207 void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
209 /* bn_cmp_words returns a value less than, equal to or greater than zero if
210 * the, length |n|, array |a| is less than, equal to or greater than |b|. */
211 int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
213 /* bn_cmp_words returns a value less than, equal to or greater than zero if the
214 * array |a| is less than, equal to or greater than |b|. The arrays can be of
215 * different lengths: |cl| gives the minimum of the two lengths and |dl| gives
216 * the length of |a| minus the length of |b|. */
217 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
219 int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
220 const BN_ULONG *np, const BN_ULONG *n0, int num);
222 #define LBITS(a) ((a) & BN_MASK2l)
223 #define HBITS(a) (((a) >> BN_BITS4) & BN_MASK2l)
224 #define L2HBITS(a) (((a) << BN_BITS4) & BN_MASK2)
226 #define LLBITS(a) ((a) & BN_MASKl)
227 #define LHBITS(a) (((a) >> BN_BITS2) & BN_MASKl)
228 #define LL2HBITS(a) ((BN_ULLONG)((a) & BN_MASKl) << BN_BITS2)
230 #define mul64(l, h, bl, bh) \
232 BN_ULONG m, m1, lt, ht; \
240 m = (m + m1) & BN_MASK2; \
242 ht += L2HBITS((BN_ULONG)1); \
245 lt = (lt + m1) & BN_MASK2; \
252 #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
253 # if defined(__GNUC__) && __GNUC__>=2
254 # define BN_UMULT_HIGH(a,b) ({ \
255 register BN_ULONG ret,discard; \
257 : "=a"(discard),"=d"(ret) \
261 # define BN_UMULT_LOHI(low,high,a,b) \
263 : "=a"(low),"=d"(high) \
267 # if defined(_MSC_VER) && _MSC_VER>=1400
268 unsigned __int64 __umulh (unsigned __int64 a,unsigned __int64 b);
269 unsigned __int64 _umul128 (unsigned __int64 a,unsigned __int64 b,
270 unsigned __int64 *h);
271 # pragma intrinsic(__umulh,_umul128)
272 # define BN_UMULT_HIGH(a,b) __umulh((a),(b))
273 # define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high)))
275 #elif !defined(OPENSSL_NO_ASM) && defined(OPENSSL_AARCH64)
276 # if defined(__GNUC__) && __GNUC__>=2
277 # define BN_UMULT_HIGH(a,b) ({ \
278 register BN_ULONG ret; \
279 __asm__ ("umulh %0,%1,%2" \
287 #if defined(__cplusplus)
291 #endif /* OPENSSL_HEADER_BN_INTERNAL_H */