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
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
|
/*
* Lowest Level MPI Algorithms
* (C) 1999-2008 Jack Lloyd
* 2006 Luca Piccarreta
*
* Distributed under the terms of the Botan license
*/
#ifndef BOTAN_MP_ASM_INTERNAL_H__
#define BOTAN_MP_ASM_INTERNAL_H__
#include <botan/internal/mp_asm.h>
namespace Botan {
extern "C" {
/*
* Word Addition
*/
inline word word_add(word x, word y, word* carry)
{
word z = x + y;
word c1 = (z < x);
z += *carry;
*carry = c1 | (z < *carry);
return z;
}
/*
* Eight Word Block Addition, Two Argument
*/
inline word word8_add2(word x[8], const word y[8], word carry)
{
x[0] = word_add(x[0], y[0], &carry);
x[1] = word_add(x[1], y[1], &carry);
x[2] = word_add(x[2], y[2], &carry);
x[3] = word_add(x[3], y[3], &carry);
x[4] = word_add(x[4], y[4], &carry);
x[5] = word_add(x[5], y[5], &carry);
x[6] = word_add(x[6], y[6], &carry);
x[7] = word_add(x[7], y[7], &carry);
return carry;
}
/*
* Eight Word Block Addition, Three Argument
*/
inline word word8_add3(word z[8], const word x[8],
const word y[8], word carry)
{
z[0] = word_add(x[0], y[0], &carry);
z[1] = word_add(x[1], y[1], &carry);
z[2] = word_add(x[2], y[2], &carry);
z[3] = word_add(x[3], y[3], &carry);
z[4] = word_add(x[4], y[4], &carry);
z[5] = word_add(x[5], y[5], &carry);
z[6] = word_add(x[6], y[6], &carry);
z[7] = word_add(x[7], y[7], &carry);
return carry;
}
/*
* Word Subtraction
*/
inline word word_sub(word x, word y, word* carry)
{
word t0 = x - y;
word c1 = (t0 > x);
word z = t0 - *carry;
*carry = c1 | (z > t0);
return z;
}
/*
* Eight Word Block Subtraction, Two Argument
*/
inline word word8_sub2(word x[4], const word y[4], word carry)
{
x[0] = word_sub(x[0], y[0], &carry);
x[1] = word_sub(x[1], y[1], &carry);
x[2] = word_sub(x[2], y[2], &carry);
x[3] = word_sub(x[3], y[3], &carry);
x[4] = word_sub(x[4], y[4], &carry);
x[5] = word_sub(x[5], y[5], &carry);
x[6] = word_sub(x[6], y[6], &carry);
x[7] = word_sub(x[7], y[7], &carry);
return carry;
}
/*
* Eight Word Block Subtraction, Three Argument
*/
inline word word8_sub3(word z[8], const word x[8],
const word y[8], word carry)
{
z[0] = word_sub(x[0], y[0], &carry);
z[1] = word_sub(x[1], y[1], &carry);
z[2] = word_sub(x[2], y[2], &carry);
z[3] = word_sub(x[3], y[3], &carry);
z[4] = word_sub(x[4], y[4], &carry);
z[5] = word_sub(x[5], y[5], &carry);
z[6] = word_sub(x[6], y[6], &carry);
z[7] = word_sub(x[7], y[7], &carry);
return carry;
}
/*
* Eight Word Block Linear Multiplication
*/
inline word word8_linmul2(word x[4], word y, word carry)
{
x[0] = word_madd2(x[0], y, &carry);
x[1] = word_madd2(x[1], y, &carry);
x[2] = word_madd2(x[2], y, &carry);
x[3] = word_madd2(x[3], y, &carry);
x[4] = word_madd2(x[4], y, &carry);
x[5] = word_madd2(x[5], y, &carry);
x[6] = word_madd2(x[6], y, &carry);
x[7] = word_madd2(x[7], y, &carry);
return carry;
}
/*
* Eight Word Block Linear Multiplication
*/
inline word word8_linmul3(word z[8], const word x[8], word y, word carry)
{
z[0] = word_madd2(x[0], y, &carry);
z[1] = word_madd2(x[1], y, &carry);
z[2] = word_madd2(x[2], y, &carry);
z[3] = word_madd2(x[3], y, &carry);
z[4] = word_madd2(x[4], y, &carry);
z[5] = word_madd2(x[5], y, &carry);
z[6] = word_madd2(x[6], y, &carry);
z[7] = word_madd2(x[7], y, &carry);
return carry;
}
/*
* Eight Word Block Multiply/Add
*/
inline word word8_madd3(word z[8], const word x[8], word y, word carry)
{
z[0] = word_madd3(x[0], y, z[0], &carry);
z[1] = word_madd3(x[1], y, z[1], &carry);
z[2] = word_madd3(x[2], y, z[2], &carry);
z[3] = word_madd3(x[3], y, z[3], &carry);
z[4] = word_madd3(x[4], y, z[4], &carry);
z[5] = word_madd3(x[5], y, z[5], &carry);
z[6] = word_madd3(x[6], y, z[6], &carry);
z[7] = word_madd3(x[7], y, z[7], &carry);
return carry;
}
/*
* Multiply-Add Accumulator
*/
inline void word3_muladd(word* w2, word* w1, word* w0, word a, word b)
{
word carry = *w0;
*w0 = word_madd2(a, b, &carry);
*w1 += carry;
*w2 += (*w1 < carry) ? 1 : 0;
}
/*
* Multiply-Add Accumulator
*/
inline void word3_muladd_2(word* w2, word* w1, word* w0, word a, word b)
{
word carry = 0;
a = word_madd2(a, b, &carry);
b = carry;
word top = (b >> (BOTAN_MP_WORD_BITS-1));
b <<= 1;
b |= (a >> (BOTAN_MP_WORD_BITS-1));
a <<= 1;
carry = 0;
*w0 = word_add(*w0, a, &carry);
*w1 = word_add(*w1, b, &carry);
*w2 = word_add(*w2, top, &carry);
}
}
}
#endif
|
