s_scalbn.c revision 1.15 
1/* @(#)s_scalbn.c 5.1 93/09/24 */
2/*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice
9 * is preserved.
10 * ====================================================
11 */
12
13#include <sys/cdefs.h>
14#if defined(LIBM_SCCS) && !defined(lint)
15__RCSID("$NetBSD: s_scalbn.c,v 1.15 2011/07/26 16:10:16 joerg Exp $");
16#endif
17
18/*
19 * scalbn (double x, int n)
20 * scalbn(x,n) returns x* 2**n  computed by  exponent
21 * manipulation rather than by actually performing an
22 * exponentiation or a multiplication.
23 */
24
25#include "namespace.h"
26#include "math.h"
27#include "math_private.h"
28
29#ifndef __HAVE_LONG_DOUBLE
30__strong_alias(_scalbnl, _scalbn)
31__weak_alias(scalbnl, _scalbnl)
32#endif
33
34#ifdef __weak_alias
35__weak_alias(scalbn, _scalbn)
36#endif
37
38static const double
39two54   =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
40twom54  =  5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
41huge   = 1.0e+300,
42tiny   = 1.0e-300;
43
44double
45scalbn(double x, int n)
46{
47	int32_t k,hx,lx;
48	EXTRACT_WORDS(hx,lx,x);
49        k = ((uint32_t)hx&0x7ff00000)>>20;		/* extract exponent */
50        if (k==0) {				/* 0 or subnormal x */
51            if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
52	    x *= two54;
53	    GET_HIGH_WORD(hx,x);
54	    k = (((uint32_t)hx&0x7ff00000)>>20) - 54;
55            if (n< -50000) return tiny*x; 	/*underflow*/
56	    }
57        if (k==0x7ff) return x+x;		/* NaN or Inf */
58        k = k+n;
59        if (k >  0x7fe) return huge*copysign(huge,x); /* overflow  */
60        if (k > 0) 				/* normal result */
61	    {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
62        if (k <= -54) {
63            if (n > 50000) 	/* in case integer overflow in n+k */
64		return huge*copysign(huge,x);	/*overflow*/
65	    else return tiny*copysign(tiny,x); 	/*underflow*/
66	}
67        k += 54;				/* subnormal result */
68	SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
69        return x*twom54;
70}
71