xref: /titanic_50/usr/src/lib/libm/common/m9x/scalbln.c (revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af)
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2125c28e83SPiotr Jasiukajtis 
2225c28e83SPiotr Jasiukajtis /*
2325c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2425c28e83SPiotr Jasiukajtis  */
2525c28e83SPiotr Jasiukajtis /*
2625c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
2725c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
2825c28e83SPiotr Jasiukajtis  */
2925c28e83SPiotr Jasiukajtis 
30*ddc0e0b5SRichard Lowe #pragma weak __scalbln = scalbln
3125c28e83SPiotr Jasiukajtis 
3225c28e83SPiotr Jasiukajtis #include "libm.h"
3325c28e83SPiotr Jasiukajtis #include <float.h>		/* DBL_MAX, DBL_MIN */
3425c28e83SPiotr Jasiukajtis 
3525c28e83SPiotr Jasiukajtis static const double twom54 = 5.5511151231257827021181583404541015625e-17;
361ec68d33SRichard Lowe #if defined(__x86)
3725c28e83SPiotr Jasiukajtis static const double two52 = 4503599627370496.0;
3825c28e83SPiotr Jasiukajtis #else
3925c28e83SPiotr Jasiukajtis /*
4025c28e83SPiotr Jasiukajtis  * Normalize non-zero subnormal x and return biased exponent of x in [-51,0]
4125c28e83SPiotr Jasiukajtis  */
4225c28e83SPiotr Jasiukajtis static int
ilogb_biased(unsigned * px)4325c28e83SPiotr Jasiukajtis ilogb_biased(unsigned *px) {
4425c28e83SPiotr Jasiukajtis 	int s = 52;
4525c28e83SPiotr Jasiukajtis 	unsigned v = px[HIWORD] & ~0x80000000, w = px[LOWORD], t = v;
4625c28e83SPiotr Jasiukajtis 
4725c28e83SPiotr Jasiukajtis 	if (t)
4825c28e83SPiotr Jasiukajtis 		s -= 32;
4925c28e83SPiotr Jasiukajtis 	else
5025c28e83SPiotr Jasiukajtis 		t = w;
5125c28e83SPiotr Jasiukajtis 	if (t & 0xffff0000)
5225c28e83SPiotr Jasiukajtis 		s -= 16, t >>= 16;
5325c28e83SPiotr Jasiukajtis 	if (t & 0xff00)
5425c28e83SPiotr Jasiukajtis 		s -= 8, t >>= 8;
5525c28e83SPiotr Jasiukajtis 	if (t & 0xf0)
5625c28e83SPiotr Jasiukajtis 		s -= 4, t >>= 4;
5725c28e83SPiotr Jasiukajtis 	t <<= 1;
5825c28e83SPiotr Jasiukajtis 	s -= (0xffffaa50 >> t) & 0x3;
5925c28e83SPiotr Jasiukajtis 	if (s < 32) {
6025c28e83SPiotr Jasiukajtis 		v = (v << s) | w >> (32 - s);
6125c28e83SPiotr Jasiukajtis 		w <<= s;
6225c28e83SPiotr Jasiukajtis 	} else {
6325c28e83SPiotr Jasiukajtis 		v = w << (s - 32);
6425c28e83SPiotr Jasiukajtis 		w = 0;
6525c28e83SPiotr Jasiukajtis 	}
6625c28e83SPiotr Jasiukajtis 	px[HIWORD] = (px[HIWORD] & 0x80000000) | v;
6725c28e83SPiotr Jasiukajtis 	px[LOWORD] = w;
6825c28e83SPiotr Jasiukajtis 	return (1 - s);
6925c28e83SPiotr Jasiukajtis }
701ec68d33SRichard Lowe #endif	/* defined(__x86) */
7125c28e83SPiotr Jasiukajtis 
7225c28e83SPiotr Jasiukajtis double
scalbln(double x,long n)7325c28e83SPiotr Jasiukajtis scalbln(double x, long n) {
7425c28e83SPiotr Jasiukajtis 	int *px = (int *) &x, ix, k;
7525c28e83SPiotr Jasiukajtis 
7625c28e83SPiotr Jasiukajtis 	ix = px[HIWORD] & ~0x80000000;
7725c28e83SPiotr Jasiukajtis 	k = ix >> 20;
7825c28e83SPiotr Jasiukajtis 	if (k == 0x7ff)
7925c28e83SPiotr Jasiukajtis #if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
8025c28e83SPiotr Jasiukajtis 		return ((px[HIWORD] & 0x80000) != 0 ? x : x + x);
8125c28e83SPiotr Jasiukajtis 		/* assumes sparc-like QNaN */
8225c28e83SPiotr Jasiukajtis #else
8325c28e83SPiotr Jasiukajtis 		return (x + x);
8425c28e83SPiotr Jasiukajtis #endif
8525c28e83SPiotr Jasiukajtis 	if ((px[LOWORD] | ix) == 0 || n == 0)
8625c28e83SPiotr Jasiukajtis 		return (x);
8725c28e83SPiotr Jasiukajtis 	if (k == 0) {
881ec68d33SRichard Lowe #if defined(__x86)
8925c28e83SPiotr Jasiukajtis 		x *= two52;
9025c28e83SPiotr Jasiukajtis 		k = ((px[HIWORD] & ~0x80000000) >> 20) - 52;
9125c28e83SPiotr Jasiukajtis #else
9225c28e83SPiotr Jasiukajtis 		k = ilogb_biased((unsigned *) px);
9325c28e83SPiotr Jasiukajtis #endif
9425c28e83SPiotr Jasiukajtis 	}
9525c28e83SPiotr Jasiukajtis 	k += (int) n;
9625c28e83SPiotr Jasiukajtis 	if (n > 5000 || k > 0x7fe)
9725c28e83SPiotr Jasiukajtis 		return (DBL_MAX * copysign(DBL_MAX, x));
9825c28e83SPiotr Jasiukajtis 	if (n < -5000 || k <= -54)
9925c28e83SPiotr Jasiukajtis 		return (DBL_MIN * copysign(DBL_MIN, x));
10025c28e83SPiotr Jasiukajtis 	if (k > 0) {
10125c28e83SPiotr Jasiukajtis 		px[HIWORD] = (px[HIWORD] & ~0x7ff00000) | (k << 20);
10225c28e83SPiotr Jasiukajtis 		return (x);
10325c28e83SPiotr Jasiukajtis 	}
10425c28e83SPiotr Jasiukajtis 	k += 54;
10525c28e83SPiotr Jasiukajtis 	px[HIWORD] = (px[HIWORD] & ~0x7ff00000) | (k << 20);
10625c28e83SPiotr Jasiukajtis 	return (x * twom54);
10725c28e83SPiotr Jasiukajtis }
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