1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
|
/*
* MPI Multiply-Add Core
* (C) 1999-2007 Jack Lloyd
*
* Distributed under the terms of the Botan license
*/
#ifndef BOTAN_MP_MADD_H__
#define BOTAN_MP_MADD_H__
#include <botan/mp_types.h>
namespace Botan {
#if (BOTAN_MP_WORD_BITS != 64)
#error The mp_asm64 module requires that BOTAN_MP_WORD_BITS == 64
#endif
#if defined(BOTAN_TARGET_ARCH_IS_ALPHA)
#define BOTAN_WORD_MUL(a,b,z1,z0) do { \
asm("umulh %1,%2,%0" : "=r" (z0) : "r" (a), "r" (b)); \
z1 = a * b; \
} while(0);
#elif defined(BOTAN_TARGET_ARCH_IS_AMD64)
#define BOTAN_WORD_MUL(a,b,z1,z0) do { \
asm("mulq %3" : "=d" (z0), "=a" (z1) : \
"a" (a), "rm" (b) : "cc"); \
} while(0);
#elif defined(BOTAN_TARGET_ARCH_IS_IA64)
#define BOTAN_WORD_MUL(a,b,z1,z0) do { \
asm("xmpy.hu %0=%1,%2" : "=f" (z0) : "f" (a), "f" (b)); \
z1 = a * b; \
} while(0);
#elif defined(BOTAN_TARGET_ARCH_IS_PPC64)
#define BOTAN_WORD_MUL(a,b,z1,z0) do { \
asm("mulhdu %0,%1,%2" : "=r" (z0) : "r" (a), "r" (b) : "cc"); \
z1 = a * b; \
} while(0);
#elif defined(BOTAN_TARGET_ARCH_IS_MIPS64)
#define BOTAN_WORD_MUL(a,b,z1,z0) do { \
asm("dmultu %2,%3" : "=h" (z0), "=l" (z1) : "r" (a), "r" (b)); \
} while(0);
#else
// Do a 64x64->128 multiply using four 64x64->64 multiplies
// plus some adds and shifts. Last resort for CPUs like UltraSPARC,
// with 64-bit registers/ALU, but no 64x64->128 multiply.
inline void bigint_2word_mul(word a, word b, word* z1, word* z0)
{
const u32bit MP_HWORD_BITS = BOTAN_MP_WORD_BITS / 2;
const word MP_HWORD_MASK = ((word)1 << MP_HWORD_BITS) - 1;
const word a_hi = (a >> MP_HWORD_BITS);
const word a_lo = (a & MP_HWORD_MASK);
const word b_hi = (b >> MP_HWORD_BITS);
const word b_lo = (b & MP_HWORD_MASK);
word x0 = a_hi * b_hi;
word x1 = a_lo * b_hi;
word x2 = a_hi * b_lo;
word x3 = a_lo * b_lo;
x2 += x3 >> (MP_HWORD_BITS);
x2 += x1;
if(x2 < x1)
x0 += ((word)1 << MP_HWORD_BITS);
*z0 = x0 + (x2 >> MP_HWORD_BITS);
*z1 = ((x2 & MP_HWORD_MASK) << MP_HWORD_BITS) + (x3 & MP_HWORD_MASK);
}
#define BOTAN_WORD_MUL(a,b,z1,z0) bigint_2word_mul(a, b, &z1, &z0)
#endif
/*
* Word Multiply/Add
*/
inline word word_madd2(word a, word b, word* c)
{
word z0 = 0, z1 = 0;
BOTAN_WORD_MUL(a, b, z1, z0);
z1 += *c; if(z1 < *c) z0++;
*c = z0;
return z1;
}
/*
* Word Multiply/Add
*/
inline word word_madd3(word a, word b, word c, word* d)
{
word z0 = 0, z1 = 0;
BOTAN_WORD_MUL(a, b, z1, z0);
z1 += c; if(z1 < c) z0++;
z1 += *d; if(z1 < *d) z0++;
*d = z0;
return z1;
}
}
#endif
|
