xref: /relibc/openlibm/src/s_scalbnl.c (revision e4481ba487de75ee6a16ab321c41842c0f0662f6)
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[] = "$FreeBSD: src/lib/msun/src/s_scalbnl.c,v 1.1 2005/03/07 04:52:58 das Exp $";
15 #endif
16 
17 /*
18  * scalbnl (long double x, int n)
19  * scalbnl(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 /*
25  * We assume that a long double has a 15-bit exponent.  On systems
26  * where long double is the same as double, scalbnl() is an alias
27  * for scalbn(), so we don't use this routine.
28  */
29 
30 #include <sys/cdefs.h>
31 #include <float.h>
32 #include <openlibm.h>
33 
34 #include "fpmath.h"
35 
36 #if LDBL_MAX_EXP != 0x4000
37 #error "Unsupported long double format"
38 #endif
39 
40 static const long double
41 huge = 0x1p16000L,
42 tiny = 0x1p-16000L;
43 
44 long double
45 scalbnl (long double x, int n)
46 {
47 	union IEEEl2bits u;
48 	int k;
49 	u.e = x;
50         k = u.bits.exp;				/* extract exponent */
51         if (k==0) {				/* 0 or subnormal x */
52             if ((u.bits.manh|u.bits.manl)==0) return x;	/* +-0 */
53 	    u.e *= 0x1p+128;
54 	    k = u.bits.exp - 128;
55             if (n< -50000) return tiny*x; 	/*underflow*/
56 	    }
57         if (k==0x7fff) return x+x;		/* NaN or Inf */
58         k = k+n;
59         if (k >= 0x7fff) return huge*copysignl(huge,x); /* overflow  */
60         if (k > 0) 				/* normal result */
61 	    {u.bits.exp = k; return u.e;}
62         if (k <= -128)
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         k += 128;				/* subnormal result */
67 	u.bits.exp = k;
68         return u.e*0x1p-128;
69 }
70 
71 __strong_reference(scalbnl, ldexpl);
72