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d38cd08c | 1 | /* ix87 specific implementation of arctanh function. |
622c86f4 | 2 | Copyright (C) 1996, 1999, 2005, 2011-2012 Free Software Foundation, Inc. |
d38cd08c UD |
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 | |
41bdb6e2 AJ |
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. | |
d38cd08c UD |
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 | |
41bdb6e2 | 14 | Lesser General Public License for more details. |
d38cd08c | 15 | |
41bdb6e2 | 16 | You should have received a copy of the GNU Lesser General Public |
59ba27a6 PE |
17 | License along with the GNU C Library; if not, see |
18 | <http://www.gnu.org/licenses/>. */ | |
d38cd08c UD |
19 | |
20 | #include <machine/asm.h> | |
21 | ||
d38cd08c | 22 | .section .rodata |
d38cd08c UD |
23 | |
24 | .align ALIGNARG(4) | |
25 | ASM_TYPE_DIRECTIVE(half,@object) | |
26 | half: .double 0.5 | |
27 | ASM_SIZE_DIRECTIVE(half) | |
28 | ASM_TYPE_DIRECTIVE(one,@object) | |
29 | one: .double 1.0 | |
30 | ASM_SIZE_DIRECTIVE(one) | |
31 | ASM_TYPE_DIRECTIVE(limit,@object) | |
32 | limit: .double 0.29 | |
33 | ASM_SIZE_DIRECTIVE(limit) | |
34 | ASM_TYPE_DIRECTIVE(ln2_2,@object) | |
35 | ln2_2: .tfloat 0.3465735902799726547086160 | |
36 | ASM_SIZE_DIRECTIVE(ln2_2) | |
37 | ||
38 | #ifdef PIC | |
39 | #define MO(op) op##@GOTOFF(%edx) | |
40 | #else | |
41 | #define MO(op) op | |
42 | #endif | |
43 | ||
44 | .text | |
45 | ENTRY(__ieee754_atanh) | |
46 | movl 8(%esp), %ecx | |
47 | ||
15daa639 UD |
48 | movl %ecx, %eax |
49 | andl $0x7fffffff, %eax | |
50 | cmpl $0x7ff00000, %eax | |
51 | jae 5f | |
52 | 7: | |
53 | ||
d38cd08c UD |
54 | #ifdef PIC |
55 | call 1f | |
fee732e5 | 56 | cfi_adjust_cfa_offset (4) |
d38cd08c | 57 | 1: popl %edx |
fee732e5 | 58 | cfi_adjust_cfa_offset (-4) |
d38cd08c UD |
59 | addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx |
60 | #endif | |
61 | ||
62 | andl $0x80000000, %ecx // ECX == 0 iff X >= 0 | |
63 | ||
64 | fldt MO(ln2_2) // 0.5*ln2 | |
65 | xorl %ecx, 8(%esp) | |
66 | fldl 4(%esp) // |x| : 0.5*ln2 | |
67 | fcoml MO(half) // |x| : 0.5*ln2 | |
68 | fld %st // |x| : |x| : 0.5*ln2 | |
69 | fnstsw // |x| : |x| : 0.5*ln2 | |
70 | sahf | |
71 | jae 2f | |
72 | fadd %st, %st(1) // |x| : 2*|x| : 0.5*ln2 | |
73 | fld %st // |x| : |x| : 2*|x| : 0.5*ln2 | |
74 | fsubrl MO(one) // 1-|x| : |x| : 2*|x| : 0.5*ln2 | |
75 | fxch // |x| : 1-|x| : 2*|x| : 0.5*ln2 | |
76 | fmul %st(2) // 2*|x|^2 : 1-|x| : 2*|x| : 0.5*ln2 | |
77 | fdivp // (2*|x|^2)/(1-|x|) : 2*|x| : 0.5*ln2 | |
78 | faddp // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2 | |
79 | fcoml MO(limit) // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2 | |
80 | fnstsw // 2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2 | |
81 | sahf | |
82 | jae 4f | |
83 | fyl2xp1 // 0.5*ln2*ld(1+2*|x|+(2*|x|^2)/(1-|x|)) | |
84 | jecxz 3f | |
85 | fchs // 0.5*ln2*ld(1+2*x+(2*x^2)/(1-x)) | |
86 | 3: ret | |
87 | ||
88 | .align ALIGNARG(4) | |
89 | 4: faddl MO(one) // 1+2*|x|+(2*|x|^2)/(1-|x|) : 0.5*ln2 | |
90 | fyl2x // 0.5*ln2*ld(1+2*|x|+(2*|x|^2)/(1-|x|)) | |
91 | jecxz 3f | |
92 | fchs // 0.5*ln2*ld(1+2*x+(2*x^2)/(1-x)) | |
93 | 3: ret | |
94 | ||
95 | .align ALIGNARG(4) | |
96 | 2: faddl MO(one) // 1+|x| : |x| : 0.5*ln2 | |
97 | fxch // |x| : 1+|x| : 0.5*ln2 | |
98 | fsubrl MO(one) // 1-|x| : 1+|x| : 0.5*ln2 | |
99 | fdivrp // (1+|x|)/(1-|x|) : 0.5*ln2 | |
100 | fyl2x // 0.5*ln2*ld((1+|x|)/(1-|x|)) | |
101 | jecxz 3f | |
102 | fchs // 0.5*ln2*ld((1+x)/(1-x)) | |
103 | 3: ret | |
15daa639 UD |
104 | |
105 |