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1/* ix87 specific implementation of arctanh function.
2 Copyright (C) 1996 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 Library General Public License as
8 published by the Free Software Foundation; either version 2 of the
9 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 Library General Public License for more details.
15
16 You should have received a copy of the GNU Library General Public
17 License along with the GNU C Library; see the file COPYING.LIB. If not,
18 write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19 Boston, MA 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(half,@object)
31half: .double 0.5
32 ASM_SIZE_DIRECTIVE(half)
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 ASM_TYPE_DIRECTIVE(ln2_2,@object)
40ln2_2: .tfloat 0.3465735902799726547086160
41 ASM_SIZE_DIRECTIVE(ln2_2)
42
43#ifdef PIC
44#define MO(op) op##@GOTOFF(%edx)
45#else
46#define MO(op) op
47#endif
48
49 .text
50ENTRY(__ieee754_atanh)
51 movl 8(%esp), %ecx
52
53#ifdef PIC
54 call 1f
551: popl %edx
56 addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
57#endif
58
59 andl $0x80000000, %ecx // ECX == 0 iff X >= 0
60
61 fldt MO(ln2_2) // 0.5*ln2
62 xorl %ecx, 8(%esp)
63 fldl 4(%esp) // |x| : 0.5*ln2
64 fcoml MO(half) // |x| : 0.5*ln2
65 fld %st // |x| : |x| : 0.5*ln2
66 fnstsw // |x| : |x| : 0.5*ln2
67 sahf
68 jae 2f
69 fadd %st, %st(1) // |x| : 2*|x| : 0.5*ln2
70 fld %st // |x| : |x| : 2*|x| : 0.5*ln2
71 fsubrl MO(one) // 1-|x| : |x| : 2*|x| : 0.5*ln2
72 fxch // |x| : 1-|x| : 2*|x| : 0.5*ln2
73 fmul %st(2) // 2*|x|^2 : 1-|x| : 2*|x| : 0.5*ln2
74 fdivp // (2*|x|^2)/(1-|x|) : 2*|x| : 0.5*ln2
75 faddp // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2
76 fcoml MO(limit) // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2
77 fnstsw // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2
78 sahf
79 jae 4f
80 fyl2xp1 // 0.5*ln2*ld(1+2*|x|+(2*|x|^2)/(1-|x|))
81 jecxz 3f
82 fchs // 0.5*ln2*ld(1+2*x+(2*x^2)/(1-x))
833: ret
84
85 .align ALIGNARG(4)
864: faddl MO(one) // 1+2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2
87 fyl2x // 0.5*ln2*ld(1+2*|x|+(2*|x|^2)/(1-|x|))
88 jecxz 3f
89 fchs // 0.5*ln2*ld(1+2*x+(2*x^2)/(1-x))
903: ret
91
92 .align ALIGNARG(4)
932: faddl MO(one) // 1+|x| : |x| : 0.5*ln2
94 fxch // |x| : 1+|x| : 0.5*ln2
95 fsubrl MO(one) // 1-|x| : 1+|x| : 0.5*ln2
96 fdivrp // (1+|x|)/(1-|x|) : 0.5*ln2
97 fyl2x // 0.5*ln2*ld((1+|x|)/(1-|x|))
98 jecxz 3f
99 fchs // 0.5*ln2*ld((1+x)/(1-x))
1003: ret
101END(__ieee754_atanh)