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
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
|
// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// This file provides fast assembly versions for the elementary
// arithmetic operations on vectors implemented in arith.go.
// TODO(gri) - experiment with unrolled loops for faster execution
// func mulWW(x, y Word) (z1, z0 Word)
TEXT ·mulWW(SB),7,$0
MOVQ x+0(FP), AX
MULQ y+8(FP)
MOVQ DX, z1+16(FP)
MOVQ AX, z0+24(FP)
RET
// func divWW(x1, x0, y Word) (q, r Word)
TEXT ·divWW(SB),7,$0
MOVQ x1+0(FP), DX
MOVQ x0+8(FP), AX
DIVQ y+16(FP)
MOVQ AX, q+24(FP)
MOVQ DX, r+32(FP)
RET
// func addVV(z, x, y []Word) (c Word)
TEXT ·addVV(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), R9
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
MOVQ $0, DX // c = 0
JMP E1
L1: MOVQ (R8)(BX*8), AX
RCRQ $1, DX
ADCQ (R9)(BX*8), AX
RCLQ $1, DX
MOVQ AX, (R10)(BX*8)
ADDL $1, BX // i++
E1: CMPQ BX, R11 // i < n
JL L1
MOVQ DX, c+48(FP)
RET
// func subVV(z, x, y []Word) (c Word)
// (same as addVV_s except for SBBQ instead of ADCQ and label names)
TEXT ·subVV(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), R9
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
MOVQ $0, DX // c = 0
JMP E2
L2: MOVQ (R8)(BX*8), AX
RCRQ $1, DX
SBBQ (R9)(BX*8), AX
RCLQ $1, DX
MOVQ AX, (R10)(BX*8)
ADDL $1, BX // i++
E2: CMPQ BX, R11 // i < n
JL L2
MOVQ DX, c+48(FP)
RET
// func addVW(z, x []Word, y Word) (c Word)
TEXT ·addVW(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), AX // c = y
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
JMP E3
L3: ADDQ (R8)(BX*8), AX
MOVQ AX, (R10)(BX*8)
RCLQ $1, AX
ANDQ $1, AX
ADDL $1, BX // i++
E3: CMPQ BX, R11 // i < n
JL L3
MOVQ AX, c+40(FP)
RET
// func subVW(z, x []Word, y Word) (c Word)
TEXT ·subVW(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), AX // c = y
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
JMP E4
L4: MOVQ (R8)(BX*8), DX // TODO(gri) is there a reverse SUBQ?
SUBQ AX, DX
MOVQ DX, (R10)(BX*8)
RCLQ $1, AX
ANDQ $1, AX
ADDL $1, BX // i++
E4: CMPQ BX, R11 // i < n
JL L4
MOVQ AX, c+40(FP)
RET
// func shlVU(z, x []Word, s uint) (c Word)
TEXT ·shlVU(SB),7,$0
MOVL n+8(FP), BX // i = n
SUBL $1, BX // i--
JL X8b // i < 0 (n <= 0)
// n > 0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVL s+32(FP), CX
MOVQ (R8)(BX*8), AX // w1 = x[n-1]
MOVQ $0, DX
SHLQ CX, DX:AX // w1>>ŝ
MOVQ DX, c+40(FP)
CMPL BX, $0
JLE X8a // i <= 0
// i > 0
L8: MOVQ AX, DX // w = w1
MOVQ -8(R8)(BX*8), AX // w1 = x[i-1]
SHLQ CX, DX:AX // w<<s | w1>>ŝ
MOVQ DX, (R10)(BX*8) // z[i] = w<<s | w1>>ŝ
SUBL $1, BX // i--
JG L8 // i > 0
// i <= 0
X8a: SHLQ CX, AX // w1<<s
MOVQ AX, (R10) // z[0] = w1<<s
RET
X8b: MOVQ $0, c+40(FP)
RET
// func shrVU(z, x []Word, s uint) (c Word)
TEXT ·shrVU(SB),7,$0
MOVL n+8(FP), R11
SUBL $1, R11 // n--
JL X9b // n < 0 (n <= 0)
// n > 0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVL s+32(FP), CX
MOVQ (R8), AX // w1 = x[0]
MOVQ $0, DX
SHRQ CX, DX:AX // w1<<ŝ
MOVQ DX, c+40(FP)
MOVQ $0, BX // i = 0
JMP E9
// i < n-1
L9: MOVQ AX, DX // w = w1
MOVQ 8(R8)(BX*8), AX // w1 = x[i+1]
SHRQ CX, DX:AX // w>>s | w1<<ŝ
MOVQ DX, (R10)(BX*8) // z[i] = w>>s | w1<<ŝ
ADDL $1, BX // i++
E9: CMPQ BX, R11
JL L9 // i < n-1
// i >= n-1
X9a: SHRQ CX, AX // w1>>s
MOVQ AX, (R10)(R11*8) // z[n-1] = w1>>s
RET
X9b: MOVQ $0, c+40(FP)
RET
// func mulAddVWW(z, x []Word, y, r Word) (c Word)
TEXT ·mulAddVWW(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), R9
MOVQ r+40(FP), CX // c = r
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
JMP E5
L5: MOVQ (R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
MOVQ AX, (R10)(BX*8)
MOVQ DX, CX
ADDL $1, BX // i++
E5: CMPQ BX, R11 // i < n
JL L5
MOVQ CX, c+48(FP)
RET
// func addMulVVW(z, x []Word, y Word) (c Word)
TEXT ·addMulVVW(SB),7,$0
MOVQ z+0(FP), R10
MOVQ x+16(FP), R8
MOVQ y+32(FP), R9
MOVL n+8(FP), R11
MOVQ $0, BX // i = 0
MOVQ $0, CX // c = 0
JMP E6
L6: MOVQ (R8)(BX*8), AX
MULQ R9
ADDQ CX, AX
ADCQ $0, DX
ADDQ AX, (R10)(BX*8)
ADCQ $0, DX
MOVQ DX, CX
ADDL $1, BX // i++
E6: CMPQ BX, R11 // i < n
JL L6
MOVQ CX, c+40(FP)
RET
// func divWVW(z []Word, xn Word, x []Word, y Word) (r Word)
TEXT ·divWVW(SB),7,$0
MOVQ z+0(FP), R10
MOVQ xn+16(FP), DX // r = xn
MOVQ x+24(FP), R8
MOVQ y+40(FP), R9
MOVL n+8(FP), BX // i = n
JMP E7
L7: MOVQ (R8)(BX*8), AX
DIVQ R9
MOVQ AX, (R10)(BX*8)
E7: SUBL $1, BX // i--
JGE L7 // i >= 0
MOVQ DX, r+48(FP)
RET
// func bitLen(x Word) (n int)
TEXT ·bitLen(SB),7,$0
BSRQ x+0(FP), AX
JZ Z1
INCL AX
MOVL AX, n+8(FP)
RET
Z1: MOVL $0, n+8(FP)
RET
|