aboutsummaryrefslogtreecommitdiff
path: root/src/math/sinh_s390x.s
blob: 73701f24f12fd813d590714df09e705a4a3283aa (plain)
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
// Copyright 2016 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"

// Constants
DATA sinhrodataL21<>+0(SB)/8, $0.231904681384629956E-16
DATA sinhrodataL21<>+8(SB)/8, $0.693147180559945286E+00
DATA sinhrodataL21<>+16(SB)/8, $704.E0
GLOBL sinhrodataL21<>+0(SB), RODATA, $24
DATA sinhrlog2<>+0(SB)/8, $0x3ff7154760000000
GLOBL sinhrlog2<>+0(SB), RODATA, $8
DATA sinhxinf<>+0(SB)/8, $0x7ff0000000000000
GLOBL sinhxinf<>+0(SB), RODATA, $8
DATA sinhxinit<>+0(SB)/8, $0x3ffb504f333f9de6
GLOBL sinhxinit<>+0(SB), RODATA, $8
DATA sinhxlim1<>+0(SB)/8, $800.E0
GLOBL sinhxlim1<>+0(SB), RODATA, $8
DATA sinhxadd<>+0(SB)/8, $0xc3200001610007fb
GLOBL sinhxadd<>+0(SB), RODATA, $8
DATA sinhx4ff<>+0(SB)/8, $0x4ff0000000000000
GLOBL sinhx4ff<>+0(SB), RODATA, $8

// Minimax polynomial approximations
DATA sinhe0<>+0(SB)/8, $0.11715728752538099300E+01
GLOBL sinhe0<>+0(SB), RODATA, $8
DATA sinhe1<>+0(SB)/8, $0.11715728752538099300E+01
GLOBL sinhe1<>+0(SB), RODATA, $8
DATA sinhe2<>+0(SB)/8, $0.58578643762688526692E+00
GLOBL sinhe2<>+0(SB), RODATA, $8
DATA sinhe3<>+0(SB)/8, $0.19526214587563004497E+00
GLOBL sinhe3<>+0(SB), RODATA, $8
DATA sinhe4<>+0(SB)/8, $0.48815536475176217404E-01
GLOBL sinhe4<>+0(SB), RODATA, $8
DATA sinhe5<>+0(SB)/8, $0.97631072948627397816E-02
GLOBL sinhe5<>+0(SB), RODATA, $8
DATA sinhe6<>+0(SB)/8, $0.16271839297756073153E-02
GLOBL sinhe6<>+0(SB), RODATA, $8
DATA sinhe7<>+0(SB)/8, $0.23245485387271142509E-03
GLOBL sinhe7<>+0(SB), RODATA, $8
DATA sinhe8<>+0(SB)/8, $0.29080955860869629131E-04
GLOBL sinhe8<>+0(SB), RODATA, $8
DATA sinhe9<>+0(SB)/8, $0.32311267157667725278E-05
GLOBL sinhe9<>+0(SB), RODATA, $8

// Sinh returns the hyperbolic sine of the argument.
//
// Special cases are:
//      Sinh(±0) = ±0
//      Sinh(±Inf) = ±Inf
//      Sinh(NaN) = NaN
// The algorithm used is minimax polynomial approximation
// with coefficients determined with a Remez exchange algorithm.

TEXT ·sinhAsm(SB),NOSPLIT,$0-16
	FMOVD   x+0(FP), F0
	//specail case Sinh(±0) = ±0
	FMOVD   $(0.0), F1
	FCMPU   F0, F1
	BEQ     sinhIsZero
	//specail case Sinh(±Inf = ±Inf
	FMOVD   $1.797693134862315708145274237317043567981e+308, F1
	FCMPU   F1, F0
	BLEU    sinhIsInf
	FMOVD   $-1.797693134862315708145274237317043567981e+308, F1
	FCMPU   F1, F0
	BGT             sinhIsInf

	MOVD    $sinhrodataL21<>+0(SB), R5
	LTDBR	F0, F0
	MOVD    sinhxinit<>+0(SB), R1
	FMOVD   F0, F4
	MOVD    R1, R3
	BLTU    L19
	FMOVD   F0, F2
L2:
	WORD    $0xED205010     //cdb %f2,.L22-.L21(%r5)
	BYTE    $0x00
	BYTE    $0x19
	BGE     L15     //jnl   .L15
	BVS     L15
	WFCEDBS V2, V2, V0
	BEQ     L20
L12:
	FMOVD   F4, F0
	FMOVD   F0, ret+8(FP)
	RET

L15:
	WFCEDBS V2, V2, V0
	BVS     L12
	MOVD    $sinhxlim1<>+0(SB), R2
	FMOVD   0(R2), F0
	WFCHDBS V0, V2, V0
	BEQ     L6
	WFCHEDBS        V4, V2, V6
	MOVD    $sinhxinf<>+0(SB), R1
	FMOVD   0(R1), F0
	BNE     LEXITTAGsinh
	WFCHDBS V2, V4, V2
	BNE     L16
	FNEG    F0, F0
	FMOVD   F0, ret+8(FP)
	RET

L19:
	FNEG    F0, F2
	BR      L2
L6:
	MOVD    $sinhxadd<>+0(SB), R2
	FMOVD   0(R2), F0
	MOVD    sinhrlog2<>+0(SB), R2
	LDGR    R2, F6
	WFMSDB  V4, V6, V0, V16
	FMOVD   sinhrodataL21<>+8(SB), F6
	WFADB   V0, V16, V0
	FMOVD   sinhrodataL21<>+0(SB), F3
	WFMSDB  V0, V6, V4, V6
	MOVD    $sinhe9<>+0(SB), R2
	WFMADB  V0, V3, V6, V0
	FMOVD   0(R2), F1
	MOVD    $sinhe7<>+0(SB), R2
	WFMDB   V0, V0, V6
	FMOVD   0(R2), F5
	MOVD    $sinhe8<>+0(SB), R2
	FMOVD   0(R2), F3
	MOVD    $sinhe6<>+0(SB), R2
	WFMADB  V6, V1, V5, V1
	FMOVD   0(R2), F5
	MOVD    $sinhe5<>+0(SB), R2
	FMOVD   0(R2), F7
	MOVD    $sinhe3<>+0(SB), R2
	WFMADB  V6, V3, V5, V3
	FMOVD   0(R2), F5
	MOVD    $sinhe4<>+0(SB), R2
	WFMADB  V6, V7, V5, V7
	FMOVD   0(R2), F5
	MOVD    $sinhe2<>+0(SB), R2
	VLEG    $0, 0(R2), V20
	WFMDB   V6, V6, V18
	WFMADB  V6, V5, V20, V5
	WFMADB  V1, V18, V7, V1
	FNEG    F0, F0
	WFMADB  V3, V18, V5, V3
	MOVD    $sinhe1<>+0(SB), R3
	WFCEDBS V2, V4, V2
	FMOVD   0(R3), F5
	MOVD    $sinhe0<>+0(SB), R3
	WFMADB  V6, V1, V5, V1
	FMOVD   0(R3), F5
	VLGVG   $0, V16, R2
	WFMADB  V6, V3, V5, V6
	RLL     $3, R2, R2
	RISBGN	$0, $15, $48, R2, R1
	BEQ     L9
	WFMSDB  V0, V1, V6, V0
	MOVD    $sinhx4ff<>+0(SB), R3
	FNEG    F0, F0
	FMOVD   0(R3), F2
	FMUL    F2, F0
	ANDW    $0xFFFF, R2
	WORD    $0xA53FEFB6     //llill %r3,61366
	SUBW    R2, R3, R2
	RISBGN	$0, $15, $48, R2, R1
	LDGR    R1, F2
	FMUL    F2, F0
	FMOVD   F0, ret+8(FP)
	RET

L20:
	MOVD    $sinhxadd<>+0(SB), R2
	FMOVD   0(R2), F2
	MOVD    sinhrlog2<>+0(SB), R2
	LDGR    R2, F0
	WFMSDB  V4, V0, V2, V6
	FMOVD   sinhrodataL21<>+8(SB), F0
	FADD    F6, F2
	MOVD    $sinhe9<>+0(SB), R2
	FMSUB   F0, F2, F4
	FMOVD   0(R2), F1
	FMOVD   sinhrodataL21<>+0(SB), F3
	MOVD    $sinhe7<>+0(SB), R2
	FMADD   F3, F2, F4
	FMOVD   0(R2), F0
	MOVD    $sinhe8<>+0(SB), R2
	WFMDB   V4, V4, V2
	FMOVD   0(R2), F3
	MOVD    $sinhe6<>+0(SB), R2
	FMOVD   0(R2), F5
	LGDR    F6, R2
	RLL     $3, R2, R2
	RISBGN	$0, $15, $48, R2, R1
	WFMADB  V2, V1, V0, V1
	LDGR    R1, F0
	MOVD    $sinhe5<>+0(SB), R1
	WFMADB  V2, V3, V5, V3
	FMOVD   0(R1), F5
	MOVD    $sinhe3<>+0(SB), R1
	FMOVD   0(R1), F6
	WFMDB   V2, V2, V7
	WFMADB  V2, V5, V6, V5
	WORD    $0xA7487FB6     //lhi %r4,32694
	FNEG    F4, F4
	ANDW    $0xFFFF, R2
	SUBW    R2, R4, R2
	RISBGN	$0, $15, $48, R2, R3
	LDGR    R3, F6
	WFADB   V0, V6, V16
	MOVD    $sinhe4<>+0(SB), R1
	WFMADB  V1, V7, V5, V1
	WFMDB   V4, V16, V4
	FMOVD   0(R1), F5
	MOVD    $sinhe2<>+0(SB), R1
	VLEG    $0, 0(R1), V16
	MOVD    $sinhe1<>+0(SB), R1
	WFMADB  V2, V5, V16, V5
	VLEG    $0, 0(R1), V16
	WFMADB  V3, V7, V5, V3
	WFMADB  V2, V1, V16, V1
	FSUB    F6, F0
	FMUL    F1, F4
	MOVD    $sinhe0<>+0(SB), R1
	FMOVD   0(R1), F6
	WFMADB  V2, V3, V6, V2
	WFMADB  V0, V2, V4, V0
	FMOVD   F0, ret+8(FP)
	RET

L9:
	WFMADB  V0, V1, V6, V0
	MOVD    $sinhx4ff<>+0(SB), R3
	FMOVD   0(R3), F2
	FMUL    F2, F0
	WORD    $0xA72AF000     //ahi   %r2,-4096
	RISBGN	$0, $15, $48, R2, R1
	LDGR    R1, F2
	FMUL    F2, F0
	FMOVD   F0, ret+8(FP)
	RET

L16:
	FMOVD   F0, ret+8(FP)
	RET

LEXITTAGsinh:
sinhIsInf:
sinhIsZero:
	FMOVD   F0, ret+8(FP)
	RET