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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) | |
31 | half: .double 0.5 | |
32 | ASM_SIZE_DIRECTIVE(half) | |
33 | ASM_TYPE_DIRECTIVE(one,@object) | |
34 | one: .double 1.0 | |
35 | ASM_SIZE_DIRECTIVE(one) | |
36 | ASM_TYPE_DIRECTIVE(limit,@object) | |
37 | limit: .double 0.29 | |
38 | ASM_SIZE_DIRECTIVE(limit) | |
39 | ASM_TYPE_DIRECTIVE(ln2_2,@object) | |
40 | ln2_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 | |
50 | ENTRY(__ieee754_atanh) | |
51 | movl 8(%esp), %ecx | |
52 | ||
53 | #ifdef PIC | |
54 | call 1f | |
55 | 1: 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)) | |
83 | 3: ret | |
84 | ||
85 | .align ALIGNARG(4) | |
86 | 4: 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)) | |
90 | 3: ret | |
91 | ||
92 | .align ALIGNARG(4) | |
93 | 2: 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)) | |
100 | 3: ret | |
101 | END(__ieee754_atanh) |