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1 /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
2  * All rights reserved.
3  *
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.
7  *
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).
14  *
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.
21  *
22  * Redistribution and use in source and binary forms, with or without
23  * modification, are permitted provided that the following conditions
24  * are met:
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)"
39  *
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
50  * SUCH DAMAGE.
51  *
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.]
56  */
57 /* ====================================================================
58  * Copyright (c) 1998-2006 The OpenSSL Project.  All rights reserved.
59  *
60  * Redistribution and use in source and binary forms, with or without
61  * modification, are permitted provided that the following conditions
62  * are met:
63  *
64  * 1. Redistributions of source code must retain the above copyright
65  *    notice, this list of conditions and the following disclaimer.
66  *
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
70  *    distribution.
71  *
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/)"
76  *
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.
81  *
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.
85  *
86  * 6. Redistributions of any form whatsoever must retain the following
87  *    acknowledgment:
88  *    "This product includes software developed by the OpenSSL Project
89  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
90  *
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  * ====================================================================
104  *
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).
108  *
109  */
110 /* ====================================================================
111  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
112  *
113  * Portions of the attached software ("Contribution") are developed by
114  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
115  *
116  * The Contribution is licensed pursuant to the Eric Young open source
117  * license provided above.
118  *
119  * The binary polynomial arithmetic software is originally written by
120  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
121  * Laboratories. */
122 
123 #ifndef OPENSSL_HEADER_BN_INTERNAL_H
124 #define OPENSSL_HEADER_BN_INTERNAL_H
125 
126 #include <openssl/base.h>
127 
128 #if defined(OPENSSL_X86_64) && defined(_MSC_VER) && _MSC_VER >= 1400
129 #pragma warning(push, 3)
130 #include <intrin.h>
131 #pragma warning(pop)
132 #pragma intrinsic(__umulh, _umul128)
133 #endif
134 
135 #if defined(__cplusplus)
136 extern "C" {
137 #endif
138 
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, size_t bits);
142 
143 #if defined(OPENSSL_64_BIT)
144 
145 #if !defined(_MSC_VER)
146 /* MSVC doesn't support two-word integers on 64-bit. */
147 #define BN_ULLONG	__uint128_t
148 #endif
149 
150 #define BN_BITS2	64
151 #define BN_BYTES	8
152 #define BN_BITS4	32
153 #define BN_MASK2	(0xffffffffffffffffUL)
154 #define BN_MASK2l	(0xffffffffUL)
155 #define BN_MASK2h	(0xffffffff00000000UL)
156 #define BN_MASK2h1	(0xffffffff80000000UL)
157 #define BN_TBIT		(0x8000000000000000UL)
158 #define BN_DEC_CONV	(10000000000000000000UL)
159 #define BN_DEC_NUM	19
160 #define TOBN(hi, lo) ((BN_ULONG)hi << 32 | lo)
161 
162 #elif defined(OPENSSL_32_BIT)
163 
164 #define BN_ULLONG	uint64_t
165 #define BN_BITS2	32
166 #define BN_BYTES	4
167 #define BN_BITS4	16
168 #define BN_MASK2	(0xffffffffUL)
169 #define BN_MASK2l	(0xffffUL)
170 #define BN_MASK2h1	(0xffff8000UL)
171 #define BN_MASK2h	(0xffff0000UL)
172 #define BN_TBIT		(0x80000000UL)
173 #define BN_DEC_CONV	(1000000000UL)
174 #define BN_DEC_NUM	9
175 #define TOBN(hi, lo) lo, hi
176 
177 #else
178 #error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT"
179 #endif
180 
181 
182 /* Pentium pro 16,16,16,32,64 */
183 /* Alpha       16,16,16,16.64 */
184 #define BN_MULL_SIZE_NORMAL (16)              /* 32 */
185 #define BN_MUL_RECURSIVE_SIZE_NORMAL (16)     /* 32 less than */
186 #define BN_SQR_RECURSIVE_SIZE_NORMAL (16)     /* 32 */
187 #define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */
188 #define BN_MONT_CTX_SET_SIZE_WORD (64)        /* 32 */
189 
190 #define STATIC_BIGNUM(x)                                \
191   {                                                     \
192     (BN_ULONG *)x, sizeof(x) / sizeof(BN_ULONG),        \
193     sizeof(x) / sizeof(BN_ULONG), 0, BN_FLG_STATIC_DATA \
194   }
195 
196 #if defined(BN_ULLONG)
197 #define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
198 #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
199 #endif
200 
201 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
202 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
203 void     bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
204 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
205 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
206 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
207 
208 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
209 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b);
210 void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a);
211 void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a);
212 
213 /* bn_cmp_words returns a value less than, equal to or greater than zero if
214  * the, length |n|, array |a| is less than, equal to or greater than |b|. */
215 int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n);
216 
217 /* bn_cmp_words returns a value less than, equal to or greater than zero if the
218  * array |a| is less than, equal to or greater than |b|. The arrays can be of
219  * different lengths: |cl| gives the minimum of the two lengths and |dl| gives
220  * the length of |a| minus the length of |b|. */
221 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl);
222 
223 int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
224                 const BN_ULONG *np, const BN_ULONG *n0, int num);
225 
226 #if !defined(BN_ULLONG)
227 
228 #define LBITS(a) ((a) & BN_MASK2l)
229 #define HBITS(a) (((a) >> BN_BITS4) & BN_MASK2l)
230 #define L2HBITS(a) (((a) << BN_BITS4) & BN_MASK2)
231 
232 #define LLBITS(a) ((a) & BN_MASKl)
233 #define LHBITS(a) (((a) >> BN_BITS2) & BN_MASKl)
234 #define LL2HBITS(a) ((BN_ULLONG)((a) & BN_MASKl) << BN_BITS2)
235 
236 #define mul64(l, h, bl, bh)       \
237   {                               \
238     BN_ULONG m, m1, lt, ht;       \
239                                   \
240     lt = l;                       \
241     ht = h;                       \
242     m = (bh) * (lt);              \
243     lt = (bl) * (lt);             \
244     m1 = (bl) * (ht);             \
245     ht = (bh) * (ht);             \
246     m = (m + m1) & BN_MASK2;      \
247     if (m < m1)                   \
248       ht += L2HBITS((BN_ULONG)1); \
249     ht += HBITS(m);               \
250     m1 = L2HBITS(m);              \
251     lt = (lt + m1) & BN_MASK2;    \
252     if (lt < m1)                  \
253       ht++;                       \
254     (l) = lt;                     \
255     (h) = ht;                     \
256   }
257 
258 #endif  /* !defined(BN_ULLONG) */
259 
260 #if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64)
261 # if defined(__GNUC__) && __GNUC__ >= 2
262 #  define BN_UMULT_HIGH(a,b)	({	\
263 	register BN_ULONG ret,discard;	\
264 	__asm__ ("mulq	%3"		\
265 	     : "=a"(discard),"=d"(ret)	\
266 	     : "a"(a), "g"(b)		\
267 	     : "cc");			\
268 	ret;			})
269 #  define BN_UMULT_LOHI(low,high,a,b)	\
270 	__asm__ ("mulq	%3"		\
271 		: "=a"(low),"=d"(high)	\
272 		: "a"(a),"g"(b)		\
273 		: "cc");
274 # elif defined(_MSC_VER) && _MSC_VER >= 1400
275 #  define BN_UMULT_HIGH(a, b) __umulh((a), (b))
276 #  define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high)))
277 # endif
278 #elif !defined(OPENSSL_NO_ASM) && defined(OPENSSL_AARCH64)
279 # if defined(__GNUC__) && __GNUC__>=2
280 #  define BN_UMULT_HIGH(a,b)	({	\
281 	register BN_ULONG ret;		\
282 	__asm__ ("umulh	%0,%1,%2"	\
283 	     : "=r"(ret)		\
284 	     : "r"(a), "r"(b));		\
285 	ret;			})
286 # endif
287 #endif
288 
289 
290 #if defined(__cplusplus)
291 }  /* extern C */
292 #endif
293 
294 #endif  /* OPENSSL_HEADER_BN_INTERNAL_H */
295