1 /*
2  * ====================================================
3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4  *
5  * Developed at SunPro, a Sun Microsystems, Inc. business.
6  * Permission to use, copy, modify, and distribute this
7  * software is freely granted, provided that this notice
8  * is preserved.
9  * ====================================================
10  */
11 
12 /*
13  * scalbln(double x, long n)
14  * scalbln(x,n) returns x * 2**n computed by exponent
15  * manipulation rather than by actually performing an
16  * exponentiation or a multiplication.
17  */
18 
19 #include "math.h"
20 #include "math_private.h"
21 #include <limits.h>
22 
23 static const double
24 two54  = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
25 twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
26 huge   = 1.0e+300,
27 tiny   = 1.0e-300;
28 
scalbln(double x,long n)29 double scalbln(double x, long n)
30 {
31 	int32_t k, hx, lx;
32 
33 	EXTRACT_WORDS(hx, lx, x);
34 	k = (hx & 0x7ff00000) >> 20; /* extract exponent */
35 	if (k == 0) { /* 0 or subnormal x */
36 		if ((lx | (hx & 0x7fffffff)) == 0)
37 			return x; /* +-0 */
38 		x *= two54;
39 		GET_HIGH_WORD(hx, x);
40 		k = ((hx & 0x7ff00000) >> 20) - 54;
41 	}
42 	if (k == 0x7ff)
43 		return x + x; /* NaN or Inf */
44 	k = k + n;
45 	if (k > 0x7fe)
46 		return huge * copysign(huge, x); /* overflow */
47 	if (n < -50000)
48 		return tiny * copysign(tiny, x); /* underflow */
49 	if (k > 0) { /* normal result */
50 		SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
51 		return x;
52 	}
53 	if (k <= -54) {
54 		if (n > 50000) /* in case integer overflow in n+k */
55 			return huge * copysign(huge, x); /* overflow */
56 		return tiny * copysign(tiny, x); /* underflow */
57 	}
58 	k += 54; /* subnormal result */
59 	SET_HIGH_WORD(x, (hx & 0x800fffff) | (k << 20));
60 	return x * twom54;
61 }
62 libm_hidden_def(scalbln)
63 
64 #if LONG_MAX == INT_MAX
65 strong_alias_untyped(scalbln,scalbn)
66 #else
67 double scalbn(double x, int n)
68 {
69 	return scalbln(x, n);
70 }
71 #endif
72 libm_hidden_def(scalbn)
73