xref: /netbsd-src/lib/libm/src/s_scalbn.c (revision 2a399c6883d870daece976daec6ffa7bb7f934ce)
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 1.9 1997/10/09 11:33:15 lukem 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 "math.h"
26 #include "math_private.h"
27 
28 #ifdef __STDC__
29 static const double
30 #else
31 static double
32 #endif
33 two54   =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
34 twom54  =  5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
35 huge   = 1.0e+300,
36 tiny   = 1.0e-300;
37 
38 #ifdef __STDC__
39 	double scalbn (double x, int n)
40 #else
41 	double scalbn (x,n)
42 	double x; int n;
43 #endif
44 {
45 	int32_t k,hx,lx;
46 	EXTRACT_WORDS(hx,lx,x);
47         k = (hx&0x7ff00000)>>20;		/* extract exponent */
48         if (k==0) {				/* 0 or subnormal x */
49             if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
50 	    x *= two54;
51 	    GET_HIGH_WORD(hx,x);
52 	    k = ((hx&0x7ff00000)>>20) - 54;
53             if (n< -50000) return tiny*x; 	/*underflow*/
54 	    }
55         if (k==0x7ff) return x+x;		/* NaN or Inf */
56         k = k+n;
57         if (k >  0x7fe) return huge*copysign(huge,x); /* overflow  */
58         if (k > 0) 				/* normal result */
59 	    {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
60         if (k <= -54)
61             if (n > 50000) 	/* in case integer overflow in n+k */
62 		return huge*copysign(huge,x);	/*overflow*/
63 	    else return tiny*copysign(tiny,x); 	/*underflow*/
64         k += 54;				/* subnormal result */
65 	SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
66         return x*twom54;
67 }
68