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
|
/* ix87 specific implementation of complex exponential function for double.
Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
#include <sysdep.h>
#ifdef __ELF__
.section .rodata
#else
.text
#endif
.align ALIGNARG(4)
ASM_TYPE_DIRECTIVE(huge_nan_null_null,@object)
huge_nan_null_null:
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f
.byte 0, 0, 0, 0, 0, 0, 0xff, 0x7f
.double 0.0
.double 0.0
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f
.byte 0, 0, 0, 0, 0, 0, 0xff, 0x7f
.double 0.0
.byte 0, 0, 0, 0, 0, 0, 0, 0x80
ASM_SIZE_DIRECTIVE(huge_nan_null_null)
ASM_TYPE_DIRECTIVE(twopi,@object)
twopi:
.byte 0x35, 0xc2, 0x68, 0x21, 0xa2, 0xda, 0xf, 0xc9, 0x1, 0x40
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(twopi)
ASM_TYPE_DIRECTIVE(l2e,@object)
l2e:
.byte 0xbc, 0xf0, 0x17, 0x5c, 0x29, 0x3b, 0xaa, 0xb8, 0xff, 0x3f
.byte 0, 0, 0, 0, 0, 0
ASM_SIZE_DIRECTIVE(l2e)
ASM_TYPE_DIRECTIVE(one,@object)
one: .double 1.0
ASM_SIZE_DIRECTIVE(one)
#ifdef PIC
#define MO(op) op##@GOTOFF(%ecx)
#define MOX(op,x,f) op##@GOTOFF(%ecx,x,f)
#else
#define MO(op) op
#define MOX(op,x,f) op(,x,f)
#endif
.text
ENTRY(__cexpl)
fldt 8(%esp) /* x */
fxam
fnstsw
fldt 20(%esp) /* y : x */
#ifdef PIC
call 1f
1: popl %ecx
addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %ecx
#endif
movb %ah, %dh
andb $0x45, %ah
cmpb $0x05, %ah
je 1f /* Jump if real part is +-Inf */
cmpb $0x01, %ah
je 2f /* Jump if real part is NaN */
fxam /* y : x */
fnstsw
/* If the imaginary part is not finite we return NaN+i NaN, as
for the case when the real part is NaN. A test for +-Inf and
NaN would be necessary. But since we know the stack register
we applied `fxam' to is not empty we can simply use one test.
Check your FPU manual for more information. */
andb $0x01, %ah
cmpb $0x01, %ah
je 2f
/* We have finite numbers in the real and imaginary part. Do
the real work now. */
fxch /* x : y */
fldt MO(l2e) /* log2(e) : x : y */
fmulp /* x * log2(e) : y */
fld %st /* x * log2(e) : x * log2(e) : y */
frndint /* int(x * log2(e)) : x * log2(e) : y */
fsubr %st, %st(1) /* int(x * log2(e)) : frac(x * log2(e)) : y */
fxch /* frac(x * log2(e)) : int(x * log2(e)) : y */
f2xm1 /* 2^frac(x * log2(e))-1 : int(x * log2(e)) : y */
faddl MO(one) /* 2^frac(x * log2(e)) : int(x * log2(e)) : y */
fscale /* e^x : int(x * log2(e)) : y */
fst %st(1) /* e^x : e^x : y */
fxch %st(2) /* y : e^x : e^x */
fsincos /* cos(y) : sin(y) : e^x : e^x */
fnstsw
testl $0x400, %eax
jnz 7f
fmulp %st, %st(3) /* sin(y) : e^x : e^x * cos(y) */
fmulp %st, %st(1) /* e^x * sin(y) : e^x * cos(y) */
movl 4(%esp), %eax /* Pointer to memory for result. */
fstpt 12(%eax)
fstpt (%eax)
ret $4
/* We have to reduce the argument to fsincos. */
.align ALIGNARG(4)
7: fldt MO(twopi) /* 2*pi : y : e^x : e^x */
fxch /* y : 2*pi : e^x : e^x */
8: fprem1 /* y%(2*pi) : 2*pi : e^x : e^x */
fnstsw
testl $0x400, %eax
jnz 8b
fstp %st(1) /* y%(2*pi) : e^x : e^x */
fsincos /* cos(y) : sin(y) : e^x : e^x */
fmulp %st, %st(3)
fmulp %st, %st(1)
movl 4(%esp), %eax /* Pointer to memory for result. */
fstpt 12(%eax)
fstpt (%eax)
ret $4
/* The real part is +-inf. We must make further differences. */
.align ALIGNARG(4)
1: fxam /* y : x */
fnstsw
movb %ah, %dl
andb $0x01, %ah /* See above why 0x01 is usable here. */
cmpb $0x01, %ah
je 3f
/* The real part is +-Inf and the imaginary part is finite. */
andl $0x245, %edx
cmpb $0x40, %dl /* Imaginary part == 0? */
je 4f /* Yes -> */
fxch /* x : y */
shrl $5, %edx
fstp %st(0) /* y */ /* Drop the real part. */
andl $16, %edx /* This puts the sign bit of the real part
in bit 4. So we can use it to index a
small array to select 0 or Inf. */
fsincos /* cos(y) : sin(y) */
fnstsw
testl $0x0400, %eax
jnz 5f
fldl MOX(huge_nan_null_null,%edx,1)
movl 4(%esp), %edx /* Pointer to memory for result. */
fstl 8(%edx)
fstpl (%edx)
ftst
fnstsw
shll $7, %eax
andl $0x8000, %eax
orl %eax, 8(%edx)
fstp %st(0)
ftst
fnstsw
shll $7, %eax
andl $0x8000, %eax
orl %eax, 20(%edx)
fstp %st(0)
ret $4
/* We must reduce the argument to fsincos. */
.align ALIGNARG(4)
5: fldt MO(twopi)
fxch
6: fprem1
fnstsw
testl $0x400, %eax
jnz 6b
fstp %st(1)
fsincos
fldl MOX(huge_nan_null_null,%edx,1)
movl 4(%esp), %edx /* Pointer to memory for result. */
fstl 8(%edx)
fstpl (%edx)
ftst
fnstsw
shll $7, %eax
andl $0x8000, %eax
orl %eax, 8(%edx)
fstp %st(0)
ftst
fnstsw
shll $7, %eax
andl $0x8000, %eax
orl %eax, 20(%edx)
fstp %st(0)
ret $4
/* The real part is +-Inf and the imaginary part is +-0. So return
+-Inf+-0i. */
.align ALIGNARG(4)
4: movl 4(%esp), %eax /* Pointer to memory for result. */
fstpt 12(%eax)
shrl $5, %edx
fstp %st(0)
andl $16, %edx
fldl MOX(huge_nan_null_null,%edx,1)
fstpt (%eax)
ret $4
/* The real part is +-Inf, the imaginary is also is not finite. */
.align ALIGNARG(4)
3: fstp %st(0)
fstp %st(0) /* <empty> */
movl %edx, %eax
shrl $5, %edx
shll $4, %eax
andl $16, %edx
andl $32, %eax
orl %eax, %edx
movl 4(%esp), %eax /* Pointer to memory for result. */
fldl MOX(huge_nan_null_null,%edx,1)
fldl MOX(huge_nan_null_null+8,%edx,1)
fstpt 12(%eax)
fstpt (%eax)
ret $4
/* The real part is NaN. */
.align ALIGNARG(4)
2: fstp %st(0)
fstp %st(0)
movl 4(%esp), %eax /* Pointer to memory for result. */
fldl MO(huge_nan_null_null+8)
fld %st(0)
fstpt (%eax)
fstpt 12(%eax)
ret $4
END(__cexpl)
weak_alias (__cexpl, cexpl)
|
