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
|
/*
* CDDL HEADER START
*
* The contents of this file are subject to the terms of the
* Common Development and Distribution License (the "License").
* You may not use this file except in compliance with the License.
*
* You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
* or http://www.opensolaris.org/os/licensing.
* See the License for the specific language governing permissions
* and limitations under the License.
*
* When distributing Covered Code, include this CDDL HEADER in each
* file and include the License file at usr/src/OPENSOLARIS.LICENSE.
* If applicable, add the following below this CDDL HEADER, with the
* fields enclosed by brackets "[]" replaced with your own identifying
* information: Portions Copyright [yyyy] [name of copyright owner]
*
* CDDL HEADER END
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
.file "nexttowardl.s"
#include "libm.h"
LIBM_ANSI_PRAGMA_WEAK(nexttowardl,function)
.section .rodata
.align 4
.LFmaxl: .long 0xffffffff,0xffffffff,0x00007ffe
.LFminl: .long 0x1,0x0,0x0
ENTRY(nexttowardl)
pushl %ebp
movl %esp,%ebp
fldt 20(%ebp) / y
subl $12,%esp
fldt 8(%ebp) / load x
fucom / x : y
fstsw %ax
sahf
jp .LNaN
je .Lequal
fstp %st(1) / x
ja .Lbigger
/ x < y
ftst
movl $1,-12(%ebp) /// -12(%ebp) contains Fminl
movl $0,-8(%ebp)
movl $0,%ecx /// final needs this
movl %ecx,-4(%ebp)
fnstsw %ax
sahf
je .Lfinal
ja .Laddulp
jb .Lsubulp
.Lbigger:
/ x > y
ftst
movl $1,-12(%ebp) /// -12(%ebp) contains -Fminl
movl $0,-8(%ebp)
movl $0x00008000,%ecx /// final needs this
movl %ecx,-4(%ebp)
fnstsw %ax
sahf
je .Lfinal
jb .Laddulp
.Lsubulp:
movl 12(%ebp),%edx / high word of significand of x
movl 16(%ebp),%ecx / x's exponent
andl $0x0000ffff,%ecx
movl %edx,%eax
not %eax
andl $0x80000000,%eax / look at explicit leading bit
orl %ecx,%eax
andl $0x80007fff,%eax
jnz .Lnot_pseudonormal / zero value implies pseudonormal
addl $1,%ecx / if pseudonormal, turn into equivalent normal
.Lnot_pseudonormal:
movl 8(%ebp),%eax / low x
subl $1,%eax / low x - ulp
movl %eax,-12(%ebp)
cmpl $0xffffffff,%eax / this means low x was 0
jz .Lborrow
movl %edx,-8(%ebp)
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lborrow:
cmpl $0x80000000,%edx / look at high x
je .Lsecond_borrow
subl $1,%edx
movl %edx,-8(%ebp)
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lsecond_borrow:
movl %ecx,%eax
andl $0x7fff,%eax / look at exp x without sign bit
cmpl $1,%eax
jbe .Lsubnormal_result / exp > 1 ==> result will be normal
movl $0xffffffff,-8(%ebp)
subl $1,%ecx
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lsubnormal_result:
movl $0x7fffffff,-8(%ebp)
movl %ecx,%eax
andl $0x8000,%eax / look at sign bit
jz .Lpositive
movl $0x8000,%ecx
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lpositive:
movl $0,%ecx
movl %ecx,-4(%ebp)
jmp .Lfinal
.Laddulp:
movl 12(%ebp),%edx / high x
movl 16(%ebp),%ecx / x's exponent
andl $0x0000ffff,%ecx
movl %edx,%eax
not %eax
andl $0x80000000,%eax / look at explicit leading bit
orl %ecx,%eax
andl $0x80007fff,%eax
jnz .Lnot_pseudonormal_2 / zero value implies pseudonormal
addl $1,%ecx
.Lnot_pseudonormal_2:
movl 8(%ebp),%eax / low x
addl $1,%eax / low x + ulp
movl %eax,-12(%ebp)
jz .Lcarry / jump if the content of %eax is 0
movl %edx,-8(%ebp)
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lcarry:
movl %edx,%eax
andl $0x7fffffff,%eax
cmpl $0x7fffffff,%eax / look at high x
je .Lsecond_carry
addl $1,%edx
movl %edx,-8(%ebp)
movl %ecx,-4(%ebp)
jmp .Lfinal
.Lsecond_carry:
movl $0x80000000,-8(%ebp)
addl $1,%ecx
movl %ecx,-4(%ebp)
.Lfinal:
fstp %st(0)
fldt -12(%ebp)
andl $0x00007fff,%ecx
jz .Lunderflow
cmpw $0x7fff,%cx
je .Loverflow
jmp .Lreturn
.Loverflow:
PIC_SETUP(1)
fldt PIC_L(.LFmaxl)
PIC_WRAPUP
fmulp %st,%st(0) / create overflow signal
jmp .Lreturn
.Lunderflow:
PIC_SETUP(2)
fldt PIC_L(.LFminl)
PIC_WRAPUP
fmulp %st,%st(0) / create underflow signal
jmp .Lreturn
.Lequal:
fstp %st(0) / C99 says to return y when x == y
jmp .Lreturn
.LNaN:
faddp %st,%st(1) / x+y,x
.Lreturn:
fwait
leave
ret
.align 4
SET_SIZE(nexttowardl)
|