xref: /dragonfly/contrib/openbsd_libm/arch/amd64/e_exp.S (revision a27bb01fb90c87959b0c0dfacf7dd85d1308a35f)
1/*        $OpenBSD: e_exp.S,v 1.5 2008/09/07 20:36:08 martynas Exp $  */
2/*        $NetBSD: e_exp.S,v 1.12 2002/02/27 16:32:46 christos Exp $  */
3
4/*
5 * Copyright (c) 1993,94 Winning Strategies, Inc.
6 * All rights reserved.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 * 1. Redistributions of source code must retain the above copyright
12 *    notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 *    notice, this list of conditions and the following disclaimer in the
15 *    documentation and/or other materials provided with the distribution.
16 * 3. All advertising materials mentioning features or use of this software
17 *    must display the following acknowledgement:
18 *      This product includes software developed by Winning Strategies, Inc.
19 * 4. The name of the author may not be used to endorse or promote products
20 *    derived from this software without specific prior written permission.
21 *
22 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
23 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
24 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
25 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
26 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
27 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
28 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
29 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
30 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
31 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
32 */
33
34/*
35 * Written by:
36 *        J.T. Conklin (jtc@wimsey.com), Winning Strategies, Inc.
37 */
38
39#include <machine/asm.h>
40
41#include "abi.h"
42
43/* e^x = 2^(x * log2(e)) */
44ENTRY(exp)
45          XMM_ONE_ARG_DOUBLE_PROLOGUE
46          /*
47           * If x is +-Inf, then the subtraction would give Inf-Inf = NaN.
48           * Avoid this.  Also avoid it if x is NaN for convenience.
49           */
50          movl      -4(%rsp),%eax
51          andl      $0x7fffffff,%eax
52          cmpl      $0x7ff00000,%eax
53          jae       x_Inf_or_NaN
54
55          fldl      ARG_DOUBLE_ONE
56
57          /*
58           * Ensure that the rounding mode is to nearest (to give the smallest
59           * possible fraction) and that the precision is as high as possible.
60           * We may as well mask interrupts if we switch the mode.
61           */
62          fstcw     -8(%rsp)
63          movl      -8(%rsp),%eax
64          andl      $0x0300,%eax
65          cmpl      $0x0300,%eax                  /* RC == 0 && PC == 3? */
66          je        1f                            /* jump if mode is good */
67          movl      $0x137f,-4(%rsp)
68          fldcw     -4(%rsp)
691:
70          fldl2e
71          fmulp                                   /* x * log2(e) */
72          fst       %st(1)
73          frndint                                 /* int(x * log2(e)) */
74          fst       %st(2)
75          fsubrp                                  /* fract(x * log2(e)) */
76          f2xm1                                   /* 2^(fract(x * log2(e))) - 1 */
77          fld1
78          faddp                                   /* 2^(fract(x * log2(e))) */
79          fscale                                  /* e^x */
80          fstp      %st(1)
81          je        1f
82          fldcw     -8(%rsp)
831:
84          XMM_DOUBLE_EPILOGUE
85          ret
86
87x_Inf_or_NaN:
88          /*
89           * Return 0 if x is -Inf.  Otherwise just return x, although the
90           * C version would return (x + x) (Real Indefinite) if x is a NaN.
91           */
92          cmpl      $0xfff00000,-4(%rsp)
93          jne       x_not_minus_Inf
94          cmpl      $0,-8(%rsp)
95          jne       x_not_minus_Inf
96          xorpd     %xmm0,%xmm0
97          ret
98
99x_not_minus_Inf:
100          movsd     ARG_DOUBLE_ONE,%xmm0
101          ret
102END(exp)
103
104          .section .note.GNU-stack,"",%progbits
105