1/* ix87 specific implementation of arcsinh.
2   Copyright (C) 1996, 1997, 1999 Free Software Foundation, Inc.
3   This file is part of the GNU C Library.
4   Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
5
6   The GNU C Library is free software; you can redistribute it and/or
7   modify it under the terms of the GNU Lesser General Public
8   License as published by the Free Software Foundation; either
9   version 2.1 of the License, or (at your option) any later version.
10
11   The GNU C Library is distributed in the hope that it will be useful,
12   but WITHOUT ANY WARRANTY; without even the implied warranty of
13   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
14   Lesser General Public License for more details.
15
16   You should have received a copy of the GNU Lesser General Public
17   License along with the GNU C Library; if not, write to the Free
18   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
19   02111-1307 USA.  */
20
21#include <machine/asm.h>
22
23#ifdef __ELF__
24	.section .rodata
25#else
26	.text
27#endif
28
29	.align ALIGNARG(4)
30	ASM_TYPE_DIRECTIVE(huge,@object)
31huge:	.double 1e+36
32	ASM_SIZE_DIRECTIVE(huge)
33	ASM_TYPE_DIRECTIVE(one,@object)
34one:	.double 1.0
35	ASM_SIZE_DIRECTIVE(one)
36	ASM_TYPE_DIRECTIVE(limit,@object)
37limit:	.double 0.29
38	ASM_SIZE_DIRECTIVE(limit)
39
40#ifdef PIC
41#define MO(op) op##@GOTOFF(%edx)
42#else
43#define MO(op) op
44#endif
45
46	.text
47ENTRY(__asinhf)
48	movl	4(%esp), %ecx
49	movl	$0x7fffffff, %eax
50	andl	%ecx, %eax
51	andl	$0x80000000, %ecx
52	movl	%eax, %edx
53	orl	$0x807fffff, %edx
54	incl	%edx
55	jz	7f			// x in �Inf or NaN
56	xorl	%ecx, 4(%esp)
57	flds	4(%esp)			// |x|
58	cmpl	$0x38000000, %eax
59	jb	2f			// |x| < 2^-14
60	fldln2				// log(2) : |x|
61	cmpl	$0x47000000, %eax
62	fxch				// |x| : log(2)
63	ja	3f			// |x| > 2^14
64#ifdef	PIC
65	call	1f
661:	popl	%edx
67	addl	$_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
68#endif
69	cmpl	$0x40000000, %eax
70	ja	5f			// |x| > 2
71
72	// 2^-14 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2)))
73	fld	%st			// |x| : |x| : log(2)
74	fmul	%st(1)			// |x|^2 : |x| : log(2)
75	fld	%st			// |x|^2 : |x|^2 : |x| : log(2)
76	faddl	MO(one)			// 1+|x|^2 : |x|^2 : |x| : log(2)
77	fsqrt				// sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
78	faddl	MO(one)			// 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
79	fdivrp				// |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2)
80	faddp				// |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2)
81	fcoml	MO(limit)
82	fnstsw
83	sahf
84	ja	6f
85	fyl2xp1
86	jecxz	4f
87	fchs
884:	ret
89
907:	flds	4(%esp)
91	ret
92
936:	faddl	MO(one)
94	fyl2x
95	jecxz	4f
96	fchs
974:	ret
98
99	// |x| < 2^-14 => y = x (inexact iff |x| != 0.0)
100	.align ALIGNARG(4)
1012:
102#ifdef	PIC
103	call	1f
1041:	popl	%edx
105	addl	$_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
106#endif
107	jecxz	4f
108	fchs				// x
1094:	fld	%st			// x : x
110	faddl	MO(huge)		// huge+x : x
111	fstp	%st(0)			// x
112	ret
113
114	// |x| > 2^14 => y = sign(x) * (log(|x|) + log(2))
115	.align ALIGNARG(4)
1163:	fyl2x				// log(|x|)
117	fldln2				// log(2) : log(|x|)
118	faddp				// log(|x|)+log(2)
119	jecxz	4f
120	fchs
1214:	ret
122
123	// |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1)))
124	.align ALIGNARG(4)
1255:	fld	%st			// |x| : |x| : log(2)
126	fadd	%st, %st(1)		// |x| : 2*|x| : log(2)
127	fld	%st			// |x| : |x| : 2*|x| : log(2)
128	fmul	%st(1)			// |x|^2 : |x| : 2*|x| : log(2)
129	faddl	MO(one)			// 1+|x|^2 : |x| : 2*|x| : log(2)
130	fsqrt				// sqrt(1+|x|^2) : |x| : 2*|x| : log(2)
131	faddp				// |x|+sqrt(1+|x|^2) : 2*|x| : log(2)
132	fdivrl	MO(one)			// 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2)
133	faddp				// 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2)
134	fyl2x				// log(2*|x|+1/(|x|+sqrt(1+|x|^2)))
135	jecxz	4f
136	fchs
1374:	ret
138END(__asinhf)
139weak_alias (__asinhf, asinhf)
140