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
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
|
// Copyright 2017 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.
#include "textflag.h"
// Minimax polynomial coefficients and other constants
DATA ·erfrodataL13<> + 0(SB)/8, $0.243673229298474689E+01
DATA ·erfrodataL13<> + 8(SB)/8, $-.654905018503145600E+00
DATA ·erfrodataL13<> + 16(SB)/8, $0.404669310217538718E+01
DATA ·erfrodataL13<> + 24(SB)/8, $-.564189219162765367E+00
DATA ·erfrodataL13<> + 32(SB)/8, $-.200104300906596851E+01
DATA ·erfrodataL13<> + 40(SB)/8, $0.5
DATA ·erfrodataL13<> + 48(SB)/8, $0.144070097650207154E+00
DATA ·erfrodataL13<> + 56(SB)/8, $-.116697735205906191E+00
DATA ·erfrodataL13<> + 64(SB)/8, $0.256847684882319665E-01
DATA ·erfrodataL13<> + 72(SB)/8, $-.510805169106229148E-02
DATA ·erfrodataL13<> + 80(SB)/8, $0.885258164825590267E-03
DATA ·erfrodataL13<> + 88(SB)/8, $-.133861989591931411E-03
DATA ·erfrodataL13<> + 96(SB)/8, $0.178294867340272534E-04
DATA ·erfrodataL13<> + 104(SB)/8, $-.211436095674019218E-05
DATA ·erfrodataL13<> + 112(SB)/8, $0.225503753499344434E-06
DATA ·erfrodataL13<> + 120(SB)/8, $-.218247939190783624E-07
DATA ·erfrodataL13<> + 128(SB)/8, $0.193179206264594029E-08
DATA ·erfrodataL13<> + 136(SB)/8, $-.157440643541715319E-09
DATA ·erfrodataL13<> + 144(SB)/8, $0.118878583237342616E-10
DATA ·erfrodataL13<> + 152(SB)/8, $0.554289288424588473E-13
DATA ·erfrodataL13<> + 160(SB)/8, $-.277649758489502214E-14
DATA ·erfrodataL13<> + 168(SB)/8, $-.839318416990049443E-12
DATA ·erfrodataL13<> + 176(SB)/8, $-2.25
DATA ·erfrodataL13<> + 184(SB)/8, $.12837916709551258632
DATA ·erfrodataL13<> + 192(SB)/8, $1.0
DATA ·erfrodataL13<> + 200(SB)/8, $0.500000000000004237e+00
DATA ·erfrodataL13<> + 208(SB)/8, $1.0
DATA ·erfrodataL13<> + 216(SB)/8, $0.416666664838056960e-01
DATA ·erfrodataL13<> + 224(SB)/8, $0.166666666630345592e+00
DATA ·erfrodataL13<> + 232(SB)/8, $0.138926439368309441e-02
DATA ·erfrodataL13<> + 240(SB)/8, $0.833349307718286047e-02
DATA ·erfrodataL13<> + 248(SB)/8, $-.693147180559945286e+00
DATA ·erfrodataL13<> + 256(SB)/8, $-.144269504088896339e+01
DATA ·erfrodataL13<> + 264(SB)/8, $281475245147134.9375
DATA ·erfrodataL13<> + 272(SB)/8, $0.358256136398192529E+01
DATA ·erfrodataL13<> + 280(SB)/8, $-.554084396500738270E+00
DATA ·erfrodataL13<> + 288(SB)/8, $0.203630123025312046E+02
DATA ·erfrodataL13<> + 296(SB)/8, $-.735750304705934424E+01
DATA ·erfrodataL13<> + 304(SB)/8, $0.250491598091071797E+02
DATA ·erfrodataL13<> + 312(SB)/8, $-.118955882760959931E+02
DATA ·erfrodataL13<> + 320(SB)/8, $0.942903335085524187E+01
DATA ·erfrodataL13<> + 328(SB)/8, $-.564189522219085689E+00
DATA ·erfrodataL13<> + 336(SB)/8, $-.503767199403555540E+01
DATA ·erfrodataL13<> + 344(SB)/8, $0xbbc79ca10c924223
DATA ·erfrodataL13<> + 352(SB)/8, $0.004099975562609307E+01
DATA ·erfrodataL13<> + 360(SB)/8, $-.324434353381296556E+00
DATA ·erfrodataL13<> + 368(SB)/8, $0.945204812084476250E-01
DATA ·erfrodataL13<> + 376(SB)/8, $-.221407443830058214E-01
DATA ·erfrodataL13<> + 384(SB)/8, $0.426072376238804349E-02
DATA ·erfrodataL13<> + 392(SB)/8, $-.692229229127016977E-03
DATA ·erfrodataL13<> + 400(SB)/8, $0.971111253652087188E-04
DATA ·erfrodataL13<> + 408(SB)/8, $-.119752226272050504E-04
DATA ·erfrodataL13<> + 416(SB)/8, $0.131662993588532278E-05
DATA ·erfrodataL13<> + 424(SB)/8, $0.115776482315851236E-07
DATA ·erfrodataL13<> + 432(SB)/8, $-.780118522218151687E-09
DATA ·erfrodataL13<> + 440(SB)/8, $-.130465975877241088E-06
DATA ·erfrodataL13<> + 448(SB)/8, $-0.25
GLOBL ·erfrodataL13<> + 0(SB), RODATA, $456
// Table of log correction terms
DATA ·erftab2066<> + 0(SB)/8, $0.442737824274138381e-01
DATA ·erftab2066<> + 8(SB)/8, $0.263602189790660309e-01
DATA ·erftab2066<> + 16(SB)/8, $0.122565642281703586e-01
DATA ·erftab2066<> + 24(SB)/8, $0.143757052860721398e-02
DATA ·erftab2066<> + 32(SB)/8, $-.651375034121276075e-02
DATA ·erftab2066<> + 40(SB)/8, $-.119317678849450159e-01
DATA ·erftab2066<> + 48(SB)/8, $-.150868749549871069e-01
DATA ·erftab2066<> + 56(SB)/8, $-.161992609578469234e-01
DATA ·erftab2066<> + 64(SB)/8, $-.154492360403337917e-01
DATA ·erftab2066<> + 72(SB)/8, $-.129850717389178721e-01
DATA ·erftab2066<> + 80(SB)/8, $-.892902649276657891e-02
DATA ·erftab2066<> + 88(SB)/8, $-.338202636596794887e-02
DATA ·erftab2066<> + 96(SB)/8, $0.357266307045684762e-02
DATA ·erftab2066<> + 104(SB)/8, $0.118665304327406698e-01
DATA ·erftab2066<> + 112(SB)/8, $0.214434994118118914e-01
DATA ·erftab2066<> + 120(SB)/8, $0.322580645161290314e-01
GLOBL ·erftab2066<> + 0(SB), RODATA, $128
// Table of +/- 1.0
DATA ·erftab12067<> + 0(SB)/8, $1.0
DATA ·erftab12067<> + 8(SB)/8, $-1.0
GLOBL ·erftab12067<> + 0(SB), RODATA, $16
// Erf returns the error function of the argument.
//
// Special cases are:
// Erf(+Inf) = 1
// Erf(-Inf) = -1
// Erf(NaN) = NaN
// The algorithm used is minimax polynomial approximation
// with coefficients determined with a Remez exchange algorithm.
TEXT ·erfAsm(SB), NOSPLIT, $0-16
FMOVD x+0(FP), F0
MOVD $·erfrodataL13<>+0(SB), R5
LGDR F0, R1
FMOVD F0, F6
SRAD $48, R1
MOVH $16383, R3
RISBGZ $49, $63, $0, R1, R2
MOVW R2, R6
MOVW R3, R7
CMPBGT R6, R7, L2
MOVH $12287, R1
MOVW R1, R7
CMPBLE R6, R7 ,L12
MOVH $16367, R1
MOVW R1, R7
CMPBGT R6, R7, L5
FMOVD 448(R5), F4
FMADD F0, F0, F4
FMOVD 440(R5), F3
WFMDB V4, V4, V2
FMOVD 432(R5), F0
FMOVD 424(R5), F1
WFMADB V2, V0, V3, V0
FMOVD 416(R5), F3
WFMADB V2, V1, V3, V1
FMOVD 408(R5), F5
FMOVD 400(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V1, V3, V1
FMOVD 392(R5), F5
FMOVD 384(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V1, V3, V1
FMOVD 376(R5), F5
FMOVD 368(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V1, V3, V1
FMOVD 360(R5), F5
FMOVD 352(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V1, V3, V2
WFMADB V4, V0, V2, V0
WFMADB V6, V0, V6, V0
L1:
FMOVD F0, ret+8(FP)
RET
L2:
MOVH R1, R1
MOVH $16407, R3
SRW $31, R1, R1
MOVW R2, R6
MOVW R3, R7
CMPBLE R6, R7, L6
MOVW R1, R1
SLD $3, R1, R1
MOVD $·erftab12067<>+0(SB), R3
WORD $0x68013000 //ld %f0,0(%r1,%r3)
MOVH $32751, R1
MOVW R1, R7
CMPBGT R6, R7, L7
FMOVD 344(R5), F2
FMADD F2, F0, F0
L7:
WFCEDBS V6, V6, V2
BEQ L1
FMOVD F6, F0
FMOVD F0, ret+8(FP)
RET
L6:
MOVW R1, R1
SLD $3, R1, R1
MOVD $·erftab12067<>+0(SB), R4
WFMDB V0, V0, V1
MOVH $0x0, R3
WORD $0x68014000 //ld %f0,0(%r1,%r4)
MOVH $16399, R1
MOVW R2, R6
MOVW R1, R7
CMPBGT R6, R7, L8
FMOVD 336(R5), F3
FMOVD 328(R5), F2
FMOVD F1, F4
WFMADB V1, V2, V3, V2
WORD $0xED405140 //adb %f4,.L30-.L13(%r5)
BYTE $0x00
BYTE $0x1A
FMOVD 312(R5), F3
WFMADB V1, V2, V3, V2
FMOVD 304(R5), F3
WFMADB V1, V4, V3, V4
FMOVD 296(R5), F3
WFMADB V1, V2, V3, V2
FMOVD 288(R5), F3
WFMADB V1, V4, V3, V4
FMOVD 280(R5), F3
WFMADB V1, V2, V3, V2
FMOVD 272(R5), F3
WFMADB V1, V4, V3, V4
L9:
FMOVD 264(R5), F3
FMUL F4, F6
FMOVD 256(R5), F4
WFMADB V1, V4, V3, V4
FDIV F6, F2
LGDR F4, R1
FSUB F3, F4
FMOVD 248(R5), F6
WFMSDB V4, V6, V1, V4
FMOVD 240(R5), F1
FMOVD 232(R5), F6
WFMADB V4, V6, V1, V6
FMOVD 224(R5), F1
FMOVD 216(R5), F3
WFMADB V4, V3, V1, V3
WFMDB V4, V4, V1
FMOVD 208(R5), F5
WFMADB V6, V1, V3, V6
FMOVD 200(R5), F3
MOVH R1,R1
WFMADB V4, V3, V5, V3
RISBGZ $57, $60, $3, R1, R2
WFMADB V1, V6, V3, V6
RISBGN $0, $15, $48, R1, R3
MOVD $·erftab2066<>+0(SB), R1
FMOVD 192(R5), F1
LDGR R3, F3
WORD $0xED221000 //madb %f2,%f2,0(%r2,%r1)
BYTE $0x20
BYTE $0x1E
WFMADB V4, V6, V1, V4
FMUL F3, F2
FMADD F4, F2, F0
FMOVD F0, ret+8(FP)
RET
L12:
FMOVD 184(R5), F0
WFMADB V6, V0, V6, V0
FMOVD F0, ret+8(FP)
RET
L5:
FMOVD 176(R5), F1
FMADD F0, F0, F1
FMOVD 168(R5), F3
WFMDB V1, V1, V2
FMOVD 160(R5), F0
FMOVD 152(R5), F4
WFMADB V2, V0, V3, V0
FMOVD 144(R5), F3
WFMADB V2, V4, V3, V4
FMOVD 136(R5), F5
FMOVD 128(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V4
FMOVD 120(R5), F5
FMOVD 112(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V4
FMOVD 104(R5), F5
FMOVD 96(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V4
FMOVD 88(R5), F5
FMOVD 80(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V4
FMOVD 72(R5), F5
FMOVD 64(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V4
FMOVD 56(R5), F5
FMOVD 48(R5), F3
WFMADB V2, V0, V5, V0
WFMADB V2, V4, V3, V2
FMOVD 40(R5), F4
WFMADB V1, V0, V2, V0
FMUL F6, F0
FMADD F4, F6, F0
FMOVD F0, ret+8(FP)
RET
L8:
FMOVD 32(R5), F3
FMOVD 24(R5), F2
FMOVD F1, F4
WFMADB V1, V2, V3, V2
WORD $0xED405010 //adb %f4,.L68-.L13(%r5)
BYTE $0x00
BYTE $0x1A
FMOVD 8(R5), F3
WFMADB V1, V2, V3, V2
FMOVD ·erfrodataL13<>+0(SB), F3
WFMADB V1, V4, V3, V4
BR L9
|
