diff options
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 | ||
