xref: /freebsd/lib/msun/i387/e_exp.S (revision 4543ef516683042d46f3bd3bb8a4f3f746e00499)
1/*
2 * Copyright (c) 1993,94 Winning Strategies, Inc.
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 *    notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 *    notice, this list of conditions and the following disclaimer in the
12 *    documentation and/or other materials provided with the distribution.
13 * 3. All advertising materials mentioning features or use of this software
14 *    must display the following acknowledgement:
15 *      This product includes software developed by Winning Strategies, Inc.
16 * 4. The name of the author may not be used to endorse or promote products
17 *    derived from this software without specific prior written permission.
18 *
19 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
20 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
21 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
22 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
23 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
24 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
25 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
26 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
27 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
28 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29 */
30
31/*
32 * Written by:
33 *	J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
34 */
35
36#include <machine/asm.h>
37/* e^x = 2^(x * log2(e)) */
38ENTRY(exp)
39	/*
40	 * If x is +-Inf, then the subtraction would give Inf-Inf = NaN.
41	 * Avoid this.  Also avoid it if x is NaN for convenience.
42	 */
43	movl	8(%esp),%eax
44	andl	$0x7fffffff,%eax
45	cmpl	$0x7ff00000,%eax
46	jae	x_Inf_or_NaN
47
48	fldl	4(%esp)
49
50	/*
51	 * Extended precision is needed to reduce the maximum error from
52	 * hundreds of ulps to less than 1 ulp.  Switch to it if necessary.
53	 * We may as well set the rounding mode to to-nearest and mask traps
54	 * if we switch.
55	 */
56	fstcw	4(%esp)
57	movl	4(%esp),%eax
58	andl	$0x0300,%eax
59	cmpl	$0x0300,%eax		/* RC == 0 && PC == 3? */
60	je	1f			/* jump if mode is good */
61	movl	$0x137f,8(%esp)
62	fldcw	8(%esp)
631:
64	fldl2e
65	fmulp				/* x * log2(e) */
66	fst	%st(1)
67	frndint				/* int(x * log2(e)) */
68	fst	%st(2)
69	fsubrp				/* fract(x * log2(e)) */
70	f2xm1				/* 2^(fract(x * log2(e))) - 1 */
71	fld1
72	faddp				/* 2^(fract(x * log2(e))) */
73	fscale				/* e^x */
74	fstp	%st(1)
75	je	1f
76	fldcw	4(%esp)
771:
78	ret
79
80x_Inf_or_NaN:
81	/*
82	 * Return 0 if x is -Inf.  Otherwise just return x; when x is Inf
83	 * this gives Inf, and when x is a NaN this gives the same result
84	 * as (x + x) (x quieted).
85	 */
86	cmpl	$0xfff00000,8(%esp)
87	jne	x_not_minus_Inf
88	cmpl	$0,4(%esp)
89	jne	x_not_minus_Inf
90	fldz
91	ret
92
93x_not_minus_Inf:
94	fldl	4(%esp)
95	ret
96END(exp)
97
98	.section .note.GNU-stack,"",%progbits
99