xref: /freebsd/lib/msun/src/s_scalbn.c (revision 6c06b4e2)
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 #ifndef lint
14 static char rcsid[] = "$Id: s_scalbn.c,v 1.1.1.1 1994/08/19 09:39:52 jkh Exp $";
15 #endif
16 
17 /*
18  * scalbn (double x, int n)
19  * scalbn(x,n) returns x* 2**n  computed by  exponent
20  * manipulation rather than by actually performing an
21  * exponentiation or a multiplication.
22  */
23 
24 #include "math.h"
25 #include "math_private.h"
26 
27 #ifdef __STDC__
28 static const double
29 #else
30 static double
31 #endif
32 two54   =  1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
33 twom54  =  5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
34 huge   = 1.0e+300,
35 tiny   = 1.0e-300;
36 
37 #ifdef __STDC__
38 	double scalbn (double x, int n)
39 #else
40 	double scalbn (x,n)
41 	double x; int n;
42 #endif
43 {
44 	int32_t k,hx,lx;
45 	EXTRACT_WORDS(hx,lx,x);
46         k = (hx&0x7ff00000)>>20;		/* extract exponent */
47         if (k==0) {				/* 0 or subnormal x */
48             if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
49 	    x *= two54;
50 	    GET_HIGH_WORD(hx,x);
51 	    k = ((hx&0x7ff00000)>>20) - 54;
52             if (n< -50000) return tiny*x; 	/*underflow*/
53 	    }
54         if (k==0x7ff) return x+x;		/* NaN or Inf */
55         k = k+n;
56         if (k >  0x7fe) return huge*copysign(huge,x); /* overflow  */
57         if (k > 0) 				/* normal result */
58 	    {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
59         if (k <= -54)
60             if (n > 50000) 	/* in case integer overflow in n+k */
61 		return huge*copysign(huge,x);	/*overflow*/
62 	    else return tiny*copysign(tiny,x); 	/*underflow*/
63         k += 54;				/* subnormal result */
64 	SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
65         return x*twom54;
66 }
67