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
|
/*************************************************
* MP Misc Functions Source File *
* (C) 1999-2008 The Botan Project *
*************************************************/
#include <botan/mp_core.h>
#include <botan/mp_asm.h>
namespace Botan {
extern "C" {
/*************************************************
* Core Division Operation *
*************************************************/
u32bit bigint_divcore(word q, word y1, word y2,
word x1, word x2, word x3)
{
word y0 = 0;
y2 = word_madd2(q, y2, &y0);
y1 = word_madd2(q, y1, &y0);
if(y0 > x1) return 1;
if(y0 < x1) return 0;
if(y1 > x2) return 1;
if(y1 < x2) return 0;
if(y2 > x3) return 1;
if(y2 < x3) return 0;
return 0;
}
/*************************************************
* Compare two MP integers *
*************************************************/
s32bit bigint_cmp(const word x[], u32bit x_size,
const word y[], u32bit y_size)
{
if(x_size < y_size) { return (-bigint_cmp(y, y_size, x, x_size)); }
while(x_size > y_size)
{
if(x[x_size-1])
return 1;
x_size--;
}
for(u32bit j = x_size; j > 0; --j)
{
if(x[j-1] > y[j-1]) return 1;
if(x[j-1] < y[j-1]) return -1;
}
return 0;
}
/*************************************************
* Do a 2-word/1-word Division *
*************************************************/
word bigint_divop(word n1, word n0, word d)
{
word high = n1 % d, quotient = 0;
for(u32bit j = 0; j != MP_WORD_BITS; ++j)
{
word high_top_bit = (high & MP_WORD_TOP_BIT);
high <<= 1;
high |= (n0 >> (MP_WORD_BITS-1-j)) & 1;
quotient <<= 1;
if(high_top_bit || high >= d)
{
high -= d;
quotient |= 1;
}
}
return quotient;
}
/*************************************************
* Do a 2-word/1-word Modulo *
*************************************************/
word bigint_modop(word n1, word n0, word d)
{
word z = bigint_divop(n1, n0, d);
word dummy = 0;
z = word_madd2(z, d, &dummy);
return (n0-z);
}
/*************************************************
* Do a word*word->2-word Multiply *
*************************************************/
void bigint_wordmul(word a, word b, word* out_low, word* out_high)
{
const u32bit MP_HWORD_BITS = 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);
*out_high = x0 + (x2 >> MP_HWORD_BITS);
*out_low = ((x2 & MP_HWORD_MASK) << MP_HWORD_BITS) + (x3 & MP_HWORD_MASK);
}
}
}
|
