-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmodular.cu
183 lines (151 loc) · 5.17 KB
/
modular.cu
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
#include "modular.h"
// Makra instrukcí v sadì PTX
#define __add_cc(r,a,b) ASM ("add.cc.u32 %0, %1, %2;": "=r"(r): "r"(a), "r"(b))
#define __addc_cc(r,a,b) ASM ("addc.cc.u32 %0, %1, %2;": "=r"(r): "r"(a), "r"(b))
#define __sub_cc(r,a,b) ASM ("sub.cc.u32 %0, %1, %2;": "=r"(r): "r"(a), "r"(b))
#define __addcy(carry) ASM ("addc.s32 %0, 0, 0;": "=r"(carry))
#define __addcy2(carry) ASM ("addc.cc.s32 %0, %0, 0;": "+r"(carry))
#define __subcy(carry) ASM ("subc.s32 %0, 0, 0;": "=r"(carry))
#define __subcy2(carry) ASM ("subc.s32 %0, %0, 0;": "+r"(carry))
#define __mul_lo(r,a,b) ASM("mul.lo.u32 %0, %1, %2;": "=r"(r): "r"(a),"r"(b))
#define __mul_hi(r,a,b) ASM("mul.hi.u32 %0, %1, %2;": "=r"(r): "r"(a),"r"(b))
#define __mad_lo_cc(r,a,b) ASM("mad.lo.cc.u32 %0, %1, %2, %0;":\
"+r"(r): "r"(a),"r"(b))
#define __madc_hi_cc(r,a,b) ASM("madc.hi.cc.u32 %0, %1, %2, %0;":\
"+r"(r):"r"(a),"r"(b))
__device__ void Cuda_Fully_Normalize (biguint_t A, bigint_t cy)
{
carry_t cytemp;
unsigned int thm1;
while(__any(cy[threadIdx.x])!=0)
{
thm1 = (threadIdx.x - 1) % NB_DIGITS;
cytemp = cy[thm1];
__add_cc(A[threadIdx.x], A[threadIdx.x], cytemp);
if (cytemp >= 0)
__addcy(cy[threadIdx.x]);
else /* if (cytemp < 0) */
__subcy(cy[threadIdx.x]);
}
}
/* Spoèti: Rmod <- A + B */
/* Vstup: 0 <= A, B < 3*N */
/* Výstup: 0 <= Rmod < 6*N */
__device__ void Cuda_Add_mod
(biguint_t Rmod, bigint_t cy, const biguint_t A, const biguint_t B)
{
unsigned int thp1 = (threadIdx.x + 1) % NB_DIGITS;
__add_cc (Rmod[threadIdx.x], A[threadIdx.x], B[threadIdx.x]);
__addcy2(Rmod[thp1]);
__addcy (cy[thp1]);
Cuda_Fully_Normalize (Rmod, cy);
}
/* Spoèti: Rmod <- Rmod + B */
/* Vstup: 0 <= Rmod, B < 3*N */
/* (vyjma pøi splnìní pøepokladù Cuda_Mulint_mod, 0 <= Rmod < 3*N, 0 < B < 7*N ) */
/* Výstup: 0 <= Rmod < 6*N */
/* (vyjma pøi splnìní pøedpokladù Cuda_Mulint_mod, 0 <= Rmod < 10*N) */
__device__ void Cuda_Add_mod
(biguint_t Rmod, bigint_t cy, const biguint_t A)
{
unsigned int thp1 = (threadIdx.x + 1) % NB_DIGITS;
__add_cc (Rmod[threadIdx.x], Rmod[threadIdx.x], A[threadIdx.x]);
//__addcy (cy[threadIdx.x]);
__addcy2(Rmod[thp1]);
__addcy (cy[thp1]);
Cuda_Fully_Normalize (Rmod, cy);
}
/* Spoèti: Rmod <- Rmod - B */
/* Vstup: 0 <= Rmod, B < 3*N */
/* Výstup: 0 <= Rmod < 6*N */
__device__ void Cuda_Sub_mod
(biguint_t Rmod, bigint_t cy, const biguint_t B, const digit_t N3thdx)
{
digit_t reg_Rmod = Rmod[threadIdx.x];
carry_t reg_cy = 0;
__add_cc (reg_Rmod, reg_Rmod, N3thdx);
__addcy (reg_cy);
__sub_cc (reg_Rmod, reg_Rmod, B[threadIdx.x]);
__subcy2 (reg_cy);
Rmod[threadIdx.x] = reg_Rmod;
cy[threadIdx.x] = reg_cy;
Cuda_Fully_Normalize (Rmod, cy);
}
// Jeden krok REDC
__device__ void Cuda_Mulmod_step
(biguint_t r, bigint_t cy, digit_t a, digit_t b, const digit_t Nthdx,
const digit_t invN)
{
digit_t t;
digit_t reg_hi = 0;
unsigned int thp1= (threadIdx.x + 1) % NB_DIGITS;
carry_t reg_cy = cy[thp1];
__mad_lo_cc(r[threadIdx.x],a,b);
__madc_hi_cc(reg_hi,a,b);
__addcy2(reg_cy);
__mul_lo(t, invN, r[0]);
__mad_lo_cc(r[threadIdx.x],t,Nthdx);
__madc_hi_cc(reg_hi,t,Nthdx);
__addcy2(reg_cy);
// Normalizace a shift doprava
__add_cc(r[threadIdx.x],r[thp1],reg_hi);
__addc_cc(r[thp1],r[thp1],reg_cy);
__addcy(cy[thp1]);
}
/* Spoèti: r <- 2*a */
/* Vstup: 0 <= a < 3*N */
/* Výstup: 0 <= r < 3*N */
__device__ void Cuda_Dbl_mod
(biguint_t r, biguint_t a)
{
unsigned int thp1= (threadIdx.x + 1) % NB_DIGITS;
asm ("add.cc.u32 %0, %1, %1;" : "=r"(r[threadIdx.x]) : "r"(a[threadIdx.x]));
__addcy2(r[thp1]);
}
// NEFUNGUJE!
/* Spoèti: r <- A*b */
/* Vstup: 0 < b < 2^SIZE_DIGIT, 0 <= A < 6*N */
/* Výstup: 0 <= r < 7*N */
/*__device__ void Cuda_Mulint_mod
(biguint_t r, bigint_t cy, biguint_t A, digit_t b, const digit_t Nthdx,const digit_t invN)
{
digit_t t;
digit_t reg_hi;
unsigned int thp1= (threadIdx.x + 1) % NB_DIGITS;
digit_t reg_A = A[threadIdx.x];
carry_t reg_cy;
__mul_lo(r[threadIdx.x],reg_A,b);
__mul_hi(reg_hi,reg_A,b);
__mul_lo(t, invN, r[0]);
__mad_lo_cc(r[threadIdx.x],t,Nthdx);
__madc_hi_cc(reg_hi,t,Nthdx);
__addcy(reg_cy);
__add_cc(r[threadIdx.x],r[thp1],reg_hi);
__addc_cc(r[thp1],r[thp1],reg_cy);
__addcy(cy[thp1]);
Cuda_Fully_Normalize(r,cy);
}
*/
/* Spoèti: r <- A*B */
/* Vstup: 0 <= A, B < 6*N */
/* (vyjma pøi splnìní Cuda_Mulint_mod, 0 <= A < 6*N, 0 < B < 10*N ) */
/* Výstup: 0 <= r < 3*N */
__device__ void Cuda_Mul_mod
(biguint_t mul, bigint_t cy, const biguint_t A, const biguint_t B, biguint_t r,
const digit_t Nthdx, const digit_t invN)
{
int i;
digit_t temp=A[threadIdx.x];
r[threadIdx.x]=0;
for (i=0; i< NB_DIGITS; i++)
Cuda_Mulmod_step (r, cy, temp, B[i], Nthdx, invN);
Cuda_Fully_Normalize (r, cy);
mul[threadIdx.x]=r[threadIdx.x];
}
__device__ void Cuda_Square_mod
(biguint_t mul, bigint_t cy, const biguint_t A, biguint_t r,
const digit_t Nthdx, const digit_t invN)
{
Cuda_Mul_mod (mul, cy, A, A, r, Nthdx, invN);
}
/////////////////////////////////////////////////////////////