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6bc31da0 1/* ix87 specific implementation of exp(x)-1.
a334319f 2 Copyright (C) 1996, 1997 Free Software Foundation, Inc.
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3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996.
5 Based on code by John C. Bowman <bowman@ipp-garching.mpg.de>.
5290baf0 6 Corrections by H.J. Lu (hjl@gnu.ai.mit.edu), 1997.
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7
8 The GNU C Library is free software; you can redistribute it and/or
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9 modify it under the terms of the GNU Lesser General Public
10 License as published by the Free Software Foundation; either
11 version 2.1 of the License, or (at your option) any later version.
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12
13 The GNU C Library is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
41bdb6e2 16 Lesser General Public License for more details.
6bc31da0 17
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18 You should have received a copy of the GNU Lesser General Public
19 License along with the GNU C Library; if not, write to the Free
20 Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
21 02111-1307 USA. */
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22
23 /* Using: e^x - 1 = 2^(x * log2(e)) - 1 */
24
25#include <machine/asm.h>
26
27#ifdef __ELF__
28 .section .rodata
29#else
30 .text
31#endif
32 .align ALIGNARG(4)
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33 ASM_TYPE_DIRECTIVE(minus1,@object)
34minus1: .double -1.0
35 ASM_SIZE_DIRECTIVE(minus1)
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36 ASM_TYPE_DIRECTIVE(one,@object)
37one: .double 1.0
38 ASM_SIZE_DIRECTIVE(one)
39 ASM_TYPE_DIRECTIVE(l2e,@object)
40l2e: .tfloat 1.442695040888963407359924681002
41 ASM_SIZE_DIRECTIVE(l2e)
42
43#ifdef PIC
44#define MO(op) op##@GOTOFF(%edx)
45#else
46#define MO(op) op
47#endif
48
49 .text
50ENTRY(__expm1)
51 fldl 4(%esp) // x
52 fxam // Is NaN or +-Inf?
53 fstsw %ax
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54 movb $0x45, %ch
55 andb %ah, %ch
56 cmpb $0x40, %ch
57 je 3f // If +-0, jump.
6bc31da0 58#ifdef PIC
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59 call 1f
601: popl %edx
61 addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx
6bc31da0 62#endif
6bc31da0 63 cmpb $0x05, %ch
c57abfa7 64 je 2f // If +-Inf, jump.
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65
66 fldt MO(l2e) // log2(e) : x
67 fmulp // log2(e)*x
68 fld %st // log2(e)*x : log2(e)*x
69 frndint // int(log2(e)*x) : log2(e)*x
5290baf0 70 fsubr %st, %st(1) // int(log2(e)*x) : fract(log2(e)*x)
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71 fxch // fract(log2(e)*x) : int(log2(e)*x)
72 f2xm1 // 2^fract(log2(e)*x)-1 : int(log2(e)*x)
73 fscale // 2^(log2(e)*x)-2^int(log2(e)*x) : int(log2(e)*x)
74 fxch // int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
75 fldl MO(one) // 1 : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
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76 fscale // 2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
77 fsubrl MO(one) // 1-2^int(log2(e)*x) : int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
78 fstp %st(1) // 1-2^int(log2(e)*x) : 2^(log2(e)*x)-2^int(log2(e)*x)
79 fsubrp %st, %st(1) // 2^(log2(e)*x)
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80 ret
81
822: testl $0x200, %eax // Test sign.
83 jz 3f // If positive, jump.
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84 fstp %st
85 fldl MO(minus1) // Set result to -1.0.
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863: ret
87END(__expm1)
88weak_alias (__expm1, expm1)