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Diffstat (limited to 'src')
-rw-r--r-- | src/lib/libcrypto/bn/bn_internal.h | 159 |
1 files changed, 159 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_internal.h b/src/lib/libcrypto/bn/bn_internal.h new file mode 100644 index 0000000000..de5cd22424 --- /dev/null +++ b/src/lib/libcrypto/bn/bn_internal.h | |||
@@ -0,0 +1,159 @@ | |||
1 | /* $OpenBSD: bn_internal.h,v 1.1 2023/01/31 05:48:39 jsing Exp $ */ | ||
2 | /* | ||
3 | * Copyright (c) 2023 Joel Sing <jsing@openbsd.org> | ||
4 | * | ||
5 | * Permission to use, copy, modify, and distribute this software for any | ||
6 | * purpose with or without fee is hereby granted, provided that the above | ||
7 | * copyright notice and this permission notice appear in all copies. | ||
8 | * | ||
9 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | ||
10 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
11 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | ||
12 | * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
13 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | ||
14 | * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | ||
15 | * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | ||
16 | */ | ||
17 | |||
18 | #include <openssl/bn.h> | ||
19 | |||
20 | #include "bn_arch.h" | ||
21 | |||
22 | #ifndef HEADER_BN_INTERNAL_H | ||
23 | #define HEADER_BN_INTERNAL_H | ||
24 | |||
25 | #ifndef HAVE_BN_UMUL_HILO | ||
26 | #ifdef BN_LLONG | ||
27 | static inline void | ||
28 | bn_umul_hilo(BN_ULONG a, BN_ULONG b, BN_ULONG *out_h, BN_ULONG *out_l) | ||
29 | { | ||
30 | BN_ULLONG r; | ||
31 | |||
32 | r = (BN_ULLONG)a * (BN_ULLONG)b; | ||
33 | |||
34 | *out_h = r >> BN_BITS2; | ||
35 | *out_l = r & BN_MASK2; | ||
36 | } | ||
37 | |||
38 | #else /* !BN_LLONG */ | ||
39 | /* | ||
40 | * Multiply two words (a * b) producing a double word result (h:l). | ||
41 | * | ||
42 | * This can be rewritten as: | ||
43 | * | ||
44 | * a * b = (hi32(a) * 2^32 + lo32(a)) * (hi32(b) * 2^32 + lo32(b)) | ||
45 | * = hi32(a) * hi32(b) * 2^64 + | ||
46 | * hi32(a) * lo32(b) * 2^32 + | ||
47 | * hi32(b) * lo32(a) * 2^32 + | ||
48 | * lo32(a) * lo32(b) | ||
49 | * | ||
50 | * The multiplication for each part of a and b can be calculated for each of | ||
51 | * these four terms without overflowing a BN_ULONG, as the maximum value of a | ||
52 | * 32 bit x 32 bit multiplication is 32 + 32 = 64 bits. Once these | ||
53 | * multiplications have been performed the result can be partitioned and summed | ||
54 | * into a double word (h:l). The same applies on a 32 bit system, substituting | ||
55 | * 16 for 32 and 32 for 64. | ||
56 | */ | ||
57 | #if 1 | ||
58 | static inline void | ||
59 | bn_umul_hilo(BN_ULONG a, BN_ULONG b, BN_ULONG *out_h, BN_ULONG *out_l) | ||
60 | { | ||
61 | BN_ULONG ah, al, bh, bl, h, l, x, c1, c2; | ||
62 | |||
63 | ah = a >> BN_BITS4; | ||
64 | al = a & BN_MASK2l; | ||
65 | bh = b >> BN_BITS4; | ||
66 | bl = b & BN_MASK2l; | ||
67 | |||
68 | h = ah * bh; | ||
69 | l = al * bl; | ||
70 | |||
71 | /* (ah * bl) << BN_BITS4, partition the result across h:l with carry. */ | ||
72 | x = ah * bl; | ||
73 | h += x >> BN_BITS4; | ||
74 | x <<= BN_BITS4; | ||
75 | c1 = l | x; | ||
76 | c2 = l & x; | ||
77 | l += x; | ||
78 | h += ((c1 & ~l) | c2) >> (BN_BITS2 - 1); /* carry */ | ||
79 | |||
80 | /* (bh * al) << BN_BITS4, partition the result across h:l with carry. */ | ||
81 | x = bh * al; | ||
82 | h += x >> BN_BITS4; | ||
83 | x <<= BN_BITS4; | ||
84 | c1 = l | x; | ||
85 | c2 = l & x; | ||
86 | l += x; | ||
87 | h += ((c1 & ~l) | c2) >> (BN_BITS2 - 1); /* carry */ | ||
88 | |||
89 | *out_h = h; | ||
90 | *out_l = l; | ||
91 | } | ||
92 | #else | ||
93 | |||
94 | /* | ||
95 | * XXX - this accumulator based version uses fewer instructions, however | ||
96 | * requires more variables/registers. It seems to be slower on at least amd64 | ||
97 | * and i386, however may be faster on other architectures that have more | ||
98 | * registers available. Further testing is required and one of the two | ||
99 | * implementations should eventually be removed. | ||
100 | */ | ||
101 | static inline void | ||
102 | bn_umul_hilo(BN_ULONG a, BN_ULONG b, BN_ULONG *out_h, BN_ULONG *out_l) | ||
103 | { | ||
104 | BN_ULONG ah, bh, al, bl, x, h, l; | ||
105 | BN_ULONG acc0, acc1, acc2, acc3; | ||
106 | |||
107 | ah = a >> BN_BITS4; | ||
108 | bh = b >> BN_BITS4; | ||
109 | al = a & BN_MASK2l; | ||
110 | bl = b & BN_MASK2l; | ||
111 | |||
112 | h = ah * bh; | ||
113 | l = al * bl; | ||
114 | |||
115 | acc0 = l & BN_MASK2l; | ||
116 | acc1 = l >> BN_BITS4; | ||
117 | acc2 = h & BN_MASK2l; | ||
118 | acc3 = h >> BN_BITS4; | ||
119 | |||
120 | /* (ah * bl) << BN_BITS4, partition the result across h:l. */ | ||
121 | x = ah * bl; | ||
122 | acc1 += x & BN_MASK2l; | ||
123 | acc2 += (acc1 >> BN_BITS4) + (x >> BN_BITS4); | ||
124 | acc3 += acc2 >> BN_BITS4; | ||
125 | |||
126 | /* (bh * al) << BN_BITS4, partition the result across h:l. */ | ||
127 | x = bh * al; | ||
128 | acc1 += x & BN_MASK2l; | ||
129 | acc2 += (acc1 >> BN_BITS4) + (x >> BN_BITS4); | ||
130 | acc3 += acc2 >> BN_BITS4; | ||
131 | |||
132 | *out_h = (acc3 << BN_BITS4) | acc2; | ||
133 | *out_l = (acc1 << BN_BITS4) | acc0; | ||
134 | } | ||
135 | #endif | ||
136 | #endif /* !BN_LLONG */ | ||
137 | #endif | ||
138 | |||
139 | #ifndef HAVE_BN_UMUL_LO | ||
140 | static inline BN_ULONG | ||
141 | bn_umul_lo(BN_ULONG a, BN_ULONG b) | ||
142 | { | ||
143 | return a * b; | ||
144 | } | ||
145 | #endif | ||
146 | |||
147 | #ifndef HAVE_BN_UMUL_HI | ||
148 | static inline BN_ULONG | ||
149 | bn_umul_hi(BN_ULONG a, BN_ULONG b) | ||
150 | { | ||
151 | BN_ULONG h, l; | ||
152 | |||
153 | bn_umul_hilo(a, b, &h, &l); | ||
154 | |||
155 | return h; | ||
156 | } | ||
157 | #endif | ||
158 | |||
159 | #endif | ||