xref: /netbsd/lib/libm/arch/i387/e_exp.S (revision bf9ec67e)
1/*	$NetBSD: e_exp.S,v 1.12 2002/02/27 16:32:46 christos Exp $	*/
2
3/*
4 * Copyright (c) 1993,94 Winning Strategies, Inc.
5 * All rights reserved.
6 *
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
9 * are met:
10 * 1. Redistributions of source code must retain the above copyright
11 *    notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 *    notice, this list of conditions and the following disclaimer in the
14 *    documentation and/or other materials provided with the distribution.
15 * 3. All advertising materials mentioning features or use of this software
16 *    must display the following acknowledgement:
17 *      This product includes software developed by Winning Strategies, Inc.
18 * 4. The name of the author may not be used to endorse or promote products
19 *    derived from this software without specific prior written permission.
20 *
21 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
22 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
23 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
24 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
25 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
26 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
27 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
28 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
29 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
30 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
31 */
32
33/*
34 * Written by:
35 *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
36 */
37
38#include <machine/asm.h>
39
40#include "abi.h"
41
42RCSID("$NetBSD: e_exp.S,v 1.12 2002/02/27 16:32:46 christos Exp $")
43#if 0
44RCSID("$FreeBSD: src/lib/msun/i387/e_exp.S,v 1.8.2.1 2000/07/10 09:16:28 obrien Exp $")
45#endif
46
47/* e^x = 2^(x * log2(e)) */
48ENTRY(__ieee754_exp)
49#ifndef __i386__
50	/*
51	 * XXX: This code is broken and needs to be merged with the i386 case.
52	 */
53	fstcw	-12(%rsp)
54	movw	-12(%rsp),%dx
55	orw	$0x0180,%dx
56	movw	%dx,-16(%rsp)
57	fldcw	-16(%rsp)
58	movsd	%xmm0,-8(%rsp)
59	fldl	-8(%rsp)
60
61	fldl2e
62	fmulp				/* x * log2(e) */
63	fld	%st(0)
64	frndint				/* int(x * log2(e)) */
65	fxch	%st(1)
66	fsub	%st(1),%st		/* fract(x * log2(e)) */
67	f2xm1				/* 2^(fract(x * log2(e))) - 1 */
68	fld1
69	faddp				/* 2^(fract(x * log2(e))) */
70	fscale				/* e^x */
71	fstp	%st(1)
72
73	fstpl	-8(%rsp)
74	movsd	-8(%rsp),%xmm0
75	fldcw	-12(%rsp)
76	ret
77#else
78	/*
79	 * If x is +-Inf, then the subtraction would give Inf-Inf = NaN.
80	 * Avoid this.  Also avoid it if x is NaN for convenience.
81	 */
82	movl	8(%esp),%eax
83	andl	$0x7fffffff,%eax
84	cmpl	$0x7ff00000,%eax
85	jae	x_Inf_or_NaN
86
87	fldl	4(%esp)
88
89	/*
90	 * Ensure that the rounding mode is to nearest (to give the smallest
91	 * possible fraction) and that the precision is as high as possible.
92	 * We may as well mask interrupts if we switch the mode.
93	 */
94	fstcw	4(%esp)
95	movl	4(%esp),%eax
96	andl	$0x0300,%eax
97	cmpl	$0x0300,%eax		/* RC == 0 && PC == 3? */
98	je	1f			/* jump if mode is good */
99	movl	$0x137f,8(%esp)
100	fldcw	8(%esp)
1011:
102	fldl2e
103	fmulp				/* x * log2(e) */
104	fst	%st(1)
105	frndint				/* int(x * log2(e)) */
106	fst	%st(2)
107	fsubrp				/* fract(x * log2(e)) */
108	f2xm1				/* 2^(fract(x * log2(e))) - 1 */
109	fld1
110	faddp				/* 2^(fract(x * log2(e))) */
111	fscale				/* e^x */
112	fstp	%st(1)
113	je	1f
114	fldcw	4(%esp)
1151:
116	ret
117
118x_Inf_or_NaN:
119	/*
120	 * Return 0 if x is -Inf.  Otherwise just return x, although the
121	 * C version would return (x + x) (Real Indefinite) if x is a NaN.
122	 */
123	cmpl	$0xfff00000,8(%esp)
124	jne	x_not_minus_Inf
125	cmpl	$0,4(%esp)
126	jne	x_not_minus_Inf
127	fldz
128	ret
129
130x_not_minus_Inf:
131	fldl	4(%esp)
132	ret
133#endif
134