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
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
|
/* ix87 specific implementation of pow function.
Copyright (C) 1996, 1997, 1998, 1999, 2001, 2004 Free Software Foundation
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
/*
* Oracle LGPL Disclaimer: For the avoidance of doubt, except that if any license choice
* other than GPL or LGPL is available it will apply instead, Oracle elects to use only
* the Lesser General Public License version 2.1 (LGPLv2) at this time for any software where
* a choice of LGPL license versions is made available with the language indicating
* that LGPLv2 or any later version may be used, or where a choice of which version
* of the LGPL is applied is otherwise unspecified.
*/
/*#include <machine/asm.h>*/
#include <iprt/cdefs.h>
#define ALIGNARG(log2) 1<<log2
#define ASM_TYPE_DIRECTIVE(name,typearg) .type name,typearg;
#define ASM_SIZE_DIRECTIVE(name) .size name,.-name;
#define ASM_GLOBAL_DIRECTIVE .global
#define C_LABEL(name) name:
#define C_SYMBOL_NAME(name) name
#define ENTRY(name) \
ASM_GLOBAL_DIRECTIVE C_SYMBOL_NAME(name); \
ASM_TYPE_DIRECTIVE (C_SYMBOL_NAME(name),@function) \
.align ALIGNARG(4); \
C_LABEL(name)
#undef END
#define END(name) \
ASM_SIZE_DIRECTIVE(name)
#ifdef __ELF__
.section .rodata
#else
.text
#endif
.align ALIGNARG(4)
ASM_TYPE_DIRECTIVE(infinity,@object)
inf_zero:
infinity:
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f
ASM_SIZE_DIRECTIVE(infinity)
ASM_TYPE_DIRECTIVE(zero,@object)
zero: .double 0.0
ASM_SIZE_DIRECTIVE(zero)
ASM_TYPE_DIRECTIVE(minf_mzero,@object)
minf_mzero:
minfinity:
.byte 0, 0, 0, 0, 0, 0, 0xf0, 0xff
mzero:
.byte 0, 0, 0, 0, 0, 0, 0, 0x80
ASM_SIZE_DIRECTIVE(minf_mzero)
ASM_TYPE_DIRECTIVE(one,@object)
one: .double 1.0
ASM_SIZE_DIRECTIVE(one)
ASM_TYPE_DIRECTIVE(limit,@object)
limit: .double 0.29
ASM_SIZE_DIRECTIVE(limit)
ASM_TYPE_DIRECTIVE(p63,@object)
p63:
.byte 0, 0, 0, 0, 0, 0, 0xe0, 0x43
ASM_SIZE_DIRECTIVE(p63)
//#ifdef PIC
//#define MO(op) op##(%rip)
//#else
#define MO(op) op
//#endif
.text
/*ENTRY(__ieee754_powl)*/
ENTRY(RT_NOCRT(powl))
fldt 24(%rsp) // y
fxam
fnstsw
movb %ah, %dl
andb $0x45, %ah
cmpb $0x40, %ah // is y == 0 ?
je 11f
cmpb $0x05, %ah // is y == �inf ?
je 12f
cmpb $0x01, %ah // is y == NaN ?
je 30f
fldt 8(%rsp) // x : y
fxam
fnstsw
movb %ah, %dh
andb $0x45, %ah
cmpb $0x40, %ah
je 20f // x is �0
cmpb $0x05, %ah
je 15f // x is �inf
fxch // y : x
/* fistpll raises invalid exception for |y| >= 1L<<63. */
fldl MO(p63) // 1L<<63 : y : x
fld %st(1) // y : 1L<<63 : y : x
fabs // |y| : 1L<<63 : y : x
fcomip %st(1), %st // 1L<<63 : y : x
fstp %st(0) // y : x
jnc 2f
/* First see whether `y' is a natural number. In this case we
can use a more precise algorithm. */
fld %st // y : y : x
fistpll -8(%rsp) // y : x
fildll -8(%rsp) // int(y) : y : x
fucomip %st(1),%st // y : x
jne 2f
/* OK, we have an integer value for y. */
mov -8(%rsp),%eax
mov -4(%rsp),%edx
orl $0, %edx
fstp %st(0) // x
jns 4f // y >= 0, jump
fdivrl MO(one) // 1/x (now referred to as x)
negl %eax
adcl $0, %edx
negl %edx
4: fldl MO(one) // 1 : x
fxch
6: shrdl $1, %edx, %eax
jnc 5f
fxch
fmul %st(1) // x : ST*x
fxch
5: fmul %st(0), %st // x*x : ST*x
shrl $1, %edx
movl %eax, %ecx
orl %edx, %ecx
jnz 6b
fstp %st(0) // ST*x
ret
/* y is �NAN */
30: fldt 8(%rsp) // x : y
fldl MO(one) // 1.0 : x : y
fucomip %st(1),%st // x : y
je 31f
fxch // y : x
31: fstp %st(1)
ret
.align ALIGNARG(4)
2: /* y is a real number. */
fxch // x : y
fldl MO(one) // 1.0 : x : y
fld %st(1) // x : 1.0 : x : y
fsub %st(1) // x-1 : 1.0 : x : y
fabs // |x-1| : 1.0 : x : y
fcompl MO(limit) // 1.0 : x : y
fnstsw
fxch // x : 1.0 : y
test $4500,%eax
jz 7f
fsub %st(1) // x-1 : 1.0 : y
fyl2xp1 // log2(x) : y
jmp 8f
7: fyl2x // log2(x) : y
8: fmul %st(1) // y*log2(x) : y
fxam
fnstsw
andb $0x45, %ah
cmpb $0x05, %ah // is y*log2(x) == �inf ?
je 28f
fst %st(1) // y*log2(x) : y*log2(x)
frndint // int(y*log2(x)) : y*log2(x)
fsubr %st, %st(1) // int(y*log2(x)) : fract(y*log2(x))
fxch // fract(y*log2(x)) : int(y*log2(x))
f2xm1 // 2^fract(y*log2(x))-1 : int(y*log2(x))
faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x))
fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
ret
28: fstp %st(1) // y*log2(x)
fldl MO(one) // 1 : y*log2(x)
fscale // 2^(y*log2(x)) : y*log2(x)
fstp %st(1) // 2^(y*log2(x))
ret
// pow(x,�0) = 1
.align ALIGNARG(4)
11: fstp %st(0) // pop y
fldl MO(one)
ret
// y == �inf
.align ALIGNARG(4)
12: fstp %st(0) // pop y
fldt 8(%rsp) // x
fabs
fcompl MO(one) // < 1, == 1, or > 1
fnstsw
andb $0x45, %ah
cmpb $0x45, %ah
je 13f // jump if x is NaN
cmpb $0x40, %ah
je 14f // jump if |x| == 1
shlb $1, %ah
xorb %ah, %dl
andl $2, %edx
#ifdef PIC
lea inf_zero(%rip),%rcx
fldl (%rcx, %rdx, 4)
#else
fldl inf_zero(,%rdx, 4)
#endif
ret
.align ALIGNARG(4)
14: fldl MO(one)
ret
.align ALIGNARG(4)
13: fldt 8(%rsp) // load x == NaN
ret
.align ALIGNARG(4)
// x is �inf
15: fstp %st(0) // y
testb $2, %dh
jz 16f // jump if x == +inf
// We must find out whether y is an odd integer.
fld %st // y : y
fistpll -8(%rsp) // y
fildll -8(%rsp) // int(y) : y
fucomip %st(1),%st
ffreep %st // <empty>
jne 17f
// OK, the value is an integer, but is it odd?
mov -8(%rsp), %eax
mov -4(%rsp), %edx
andb $1, %al
jz 18f // jump if not odd
// It's an odd integer.
shrl $31, %edx
#ifdef PIC
lea minf_mzero(%rip),%rcx
fldl (%rcx, %rdx, 8)
#else
fldl minf_mzero(,%rdx, 8)
#endif
ret
.align ALIGNARG(4)
16: fcompl MO(zero)
fnstsw
shrl $5, %eax
andl $8, %eax
#ifdef PIC
lea inf_zero(%rip),%rcx
fldl (%rcx, %rax, 1)
#else
fldl inf_zero(,%rax, 1)
#endif
ret
.align ALIGNARG(4)
17: shll $30, %edx // sign bit for y in right position
18: shrl $31, %edx
#ifdef PIC
lea inf_zero(%rip),%rcx
fldl (%rcx, %rdx, 8)
#else
fldl inf_zero(,%rdx, 8)
#endif
ret
.align ALIGNARG(4)
// x is �0
20: fstp %st(0) // y
testb $2, %dl
jz 21f // y > 0
// x is �0 and y is < 0. We must find out whether y is an odd integer.
testb $2, %dh
jz 25f
fld %st // y : y
fistpll -8(%rsp) // y
fildll -8(%rsp) // int(y) : y
fucomip %st(1),%st
ffreep %st // <empty>
jne 26f
// OK, the value is an integer, but is it odd?
mov -8(%rsp),%eax
mov -4(%rsp),%edx
andb $1, %al
jz 27f // jump if not odd
// It's an odd integer.
// Raise divide-by-zero exception and get minus infinity value.
fldl MO(one)
fdivl MO(zero)
fchs
ret
25: fstp %st(0)
26:
27: // Raise divide-by-zero exception and get infinity value.
fldl MO(one)
fdivl MO(zero)
ret
.align ALIGNARG(4)
// x is �0 and y is > 0. We must find out whether y is an odd integer.
21: testb $2, %dh
jz 22f
fld %st // y : y
fistpll -8(%rsp) // y
fildll -8(%rsp) // int(y) : y
fucomip %st(1),%st
ffreep %st // <empty>
jne 23f
// OK, the value is an integer, but is it odd?
mov -8(%rsp),%eax
mov -4(%rsp),%edx
andb $1, %al
jz 24f // jump if not odd
// It's an odd integer.
fldl MO(mzero)
ret
22: fstp %st(0)
23:
24: fldl MO(zero)
ret
/*END(__ieee754_powl)*/
END(RT_NOCRT(powl))
|